
Time bar (total: 13.2s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 0 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 1 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 2 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 3 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 4 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 5 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 6 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 7 |
| 2.3% | 0% | 0% | 100% | 0% | 0% | 0% | 8 |
| 11.3% | 0% | 0% | 100% | 0% | 0% | 0% | 9 |
| 21.1% | 0% | 0% | 100% | 0% | 0% | 0% | 10 |
| 28% | 0% | 0% | 100% | 0% | 0% | 0% | 11 |
| 40.1% | 0% | 0% | 100% | 0% | 0% | 0% | 12 |
Compiled 41 to 26 computations (36.6% saved)
| 935.0ms | 5 551× | 0 | valid |
| 616.0ms | 2 705× | 1 | valid |
| 179.0ms | 1 294× | 0 | invalid |
const: 359.0ms (28.6% of total)ival-mult: 209.0ms (16.6% of total)ival-<: 151.0ms (12% of total)ival-neg: 113.0ms (9% of total)ival-add: 90.0ms (7.2% of total)ival-sqrt: 83.0ms (6.6% of total)ival-div: 80.0ms (6.4% of total)adjust: 65.0ms (5.2% of total)ival-sub: 63.0ms (5% of total)ival-and: 33.0ms (2.6% of total)exact: 6.0ms (0.5% of total)ival-assert: 4.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 227 | 2 | (1819645.6021639775 35.474829824080985 1.976110081774591e-6) | 1 | (0.4043380374822292 51165.40148913187 62855265.01035884) | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | #s(literal 3 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 #s(literal 3 binary64) a) c) |
| 0 | 0 | - | 0 | - | (*.f64 b b) |
| 0 | 0 | - | 0 | - | c |
| 0 | 0 | - | 0 | - | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) |
| 0 | 0 | - | 0 | - | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 0 | 0 | - | 0 | - | (neg.f64 b) |
| 0 | 0 | - | 0 | - | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) |
| 0 | 0 | - | 0 | - | b |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 3 binary64) a) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
+.f64 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) | cancellation | 228 | 10 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 227 | 1 |
| - | 1 | 27 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 227 | 1 | 0 |
| - | 1 | 9 | 18 |
| number | freq |
|---|---|
| 0 | 28 |
| 1 | 228 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 31.0ms | 342× | 0 | valid |
| 26.0ms | 170× | 1 | valid |
Compiled 156 to 40 computations (74.4% saved)
ival-mult: 12.0ms (33.9% of total)ival-div: 6.0ms (17% of total)ival-sqrt: 5.0ms (14.1% of total)adjust: 3.0ms (8.5% of total)ival-add: 3.0ms (8.5% of total)ival-sub: 3.0ms (8.5% of total)ival-neg: 2.0ms (5.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
| 1 562× | div-sub |
| 1 088× | lower-fma.f64 |
| 1 088× | lower-fma.f32 |
| 996× | sub-neg |
| 712× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 158 |
| 1 | 152 | 144 |
| 2 | 433 | 144 |
| 3 | 1173 | 144 |
| 4 | 3171 | 144 |
| 5 | 6061 | 144 |
| 0 | 12 | 17 |
| 0 | 20 | 17 |
| 1 | 36 | 16 |
| 2 | 73 | 16 |
| 3 | 156 | 16 |
| 4 | 236 | 16 |
| 5 | 374 | 16 |
| 6 | 650 | 16 |
| 7 | 1103 | 16 |
| 8 | 2241 | 16 |
| 9 | 2510 | 16 |
| 10 | 2621 | 16 |
| 11 | 2676 | 16 |
| 12 | 2677 | 16 |
| 13 | 2677 | 16 |
| 0 | 2677 | 15 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| Outputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -3 binary64)))) b) (*.f64 #s(literal 3 binary64) a)) |
Compiled 20 to 12 computations (40% saved)
Compiled 3 to 3 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 55.9% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
Compiled 20 to 12 computations (40% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 b) | |
| cost-diff | 0 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) | |
| cost-diff | 128 | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) | |
| cost-diff | 128 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
| 1 088× | lower-fma.f64 |
| 1 088× | lower-fma.f32 |
| 712× | lower-*.f32 |
| 706× | lower-*.f64 |
| 430× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 66 |
| 0 | 20 | 66 |
| 1 | 36 | 64 |
| 2 | 73 | 64 |
| 3 | 156 | 64 |
| 4 | 236 | 64 |
| 5 | 374 | 64 |
| 6 | 650 | 64 |
| 7 | 1103 | 64 |
| 8 | 2241 | 64 |
| 9 | 2510 | 64 |
| 10 | 2621 | 64 |
| 11 | 2676 | 64 |
| 12 | 2677 | 64 |
| 13 | 2677 | 64 |
| 0 | 2677 | 60 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
(neg.f64 b) |
b |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) |
(*.f64 b b) |
(*.f64 (*.f64 #s(literal 3 binary64) a) c) |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
a |
c |
| Outputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -3 binary64)))) b) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
(-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -3 binary64)))) b) |
(neg.f64 b) |
b |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) |
(sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -3 binary64)))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) |
(fma.f64 b b (*.f64 (*.f64 a c) #s(literal -3 binary64))) |
(*.f64 b b) |
(*.f64 (*.f64 #s(literal 3 binary64) a) c) |
(*.f64 #s(literal 3 binary64) (*.f64 a c)) |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
a |
c |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.2421875 | (*.f64 (*.f64 #s(literal 3 binary64) a) c) | |
| accuracy | 0.2512575316206538 | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) | |
| accuracy | 0.3678512695368841 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) | |
| accuracy | 28.052966832663916 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
| 14.0ms | 171× | 0 | valid |
| 12.0ms | 85× | 1 | valid |
Compiled 68 to 14 computations (79.4% saved)
ival-mult: 5.0ms (32.7% of total)ival-div: 2.0ms (13.1% of total)ival-sub: 2.0ms (13.1% of total)ival-sqrt: 2.0ms (13.1% of total)adjust: 1.0ms (6.5% of total)ival-add: 1.0ms (6.5% of total)ival-neg: 1.0ms (6.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ()) |
#s(alt (neg.f64 b) (patch (neg.f64 b) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 #s(literal 3 binary64) a) c) (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* (sqrt (* a c)) (sqrt -3)) (taylor 0 b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))) (taylor 0 b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))) (taylor 0 b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))) (taylor 0 b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -3/2 (/ (* a c) b)) (taylor inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) (taylor inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) (taylor inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) (taylor inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 b) (taylor -inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))) (taylor -inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) (taylor -inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) (taylor -inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -3/2 (/ (* a c) b)) (taylor 0 a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) (taylor 0 a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) (taylor 0 a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) (taylor 0 a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (* a c)) (sqrt -3)) (taylor inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) (taylor inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))) (taylor inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a))) (taylor inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) (taylor -inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))) (taylor -inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ()) |
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#s(alt (* 3 (* a c)) (taylor -inf a) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) a) c) (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* a c)) (taylor 0 c) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) a) c) (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* a c)) (taylor 0 c) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) a) c) (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* a c)) (taylor 0 c) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) a) c) (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* a c)) (taylor 0 c) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) a) c) (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* a c)) (taylor inf c) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) a) c) (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* a c)) (taylor inf c) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) a) c) (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* a c)) (taylor inf c) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) a) c) (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* a c)) (taylor inf c) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) a) c) (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* a c)) (taylor -inf c) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) a) c) (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* a c)) (taylor -inf c) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) a) c) (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* a c)) (taylor -inf c) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) a) c) (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* a c)) (taylor -inf c) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) a) c) (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ()) |
36 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | b | @ | inf | (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) |
| 2.0ms | b | @ | 0 | (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) |
| 1.0ms | b | @ | inf | (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) |
| 1.0ms | a | @ | inf | (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) |
| 1.0ms | c | @ | 0 | (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) |
| 1× | egg-herbie |
| 11 360× | lower-fma.f64 |
| 11 360× | lower-fma.f32 |
| 6 828× | lower-*.f64 |
| 6 828× | lower-*.f32 |
| 3 678× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 470 | 2458 |
| 1 | 1445 | 2441 |
| 2 | 4896 | 2418 |
| 0 | 8064 | 2302 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (sqrt (* a c)) (sqrt -3)) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(* -3/2 (/ (* a c) b)) |
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* -2 b) |
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -3/2 (/ (* a c) b)) |
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -3/2 (/ (* a c) b)) |
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -3 (* a c)) |
(- (pow b 2) (* 3 (* a c))) |
(- (pow b 2) (* 3 (* a c))) |
(- (pow b 2) (* 3 (* a c))) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(pow b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(* -3 (* a c)) |
(* a (- (/ (pow b 2) a) (* 3 c))) |
(* a (- (/ (pow b 2) a) (* 3 c))) |
(* a (- (/ (pow b 2) a) (* 3 c))) |
(* -3 (* a c)) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c)))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c)))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c)))) |
(pow b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(* -3 (* a c)) |
(* c (- (/ (pow b 2) c) (* 3 a))) |
(* c (- (/ (pow b 2) c) (* 3 a))) |
(* c (- (/ (pow b 2) c) (* 3 a))) |
(* -3 (* a c)) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a)))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a)))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a)))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(* -1/2 (/ c b)) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* -1/2 (/ c b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
| Outputs |
|---|
(* (sqrt (* a c)) (sqrt -3)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64))) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))) |
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64)) (neg.f64 b)) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(fma.f64 b (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (/.f64 b (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64)))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(fma.f64 b (fma.f64 b (fma.f64 #s(literal 1/24 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 c (*.f64 c c))))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -3 binary64))))) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64)))) |
(* -3/2 (/ (* a c) b)) |
(/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b) |
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/.f64 (fma.f64 a (*.f64 c #s(literal -3/2 binary64)) (/.f64 (*.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 a a)) (*.f64 b b))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/.f64 (fma.f64 (*.f64 a a) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 b b)) (fma.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 a c) #s(literal -3/2 binary64)))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(/.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) #s(literal -27/16 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 a (*.f64 c #s(literal -3/2 binary64)) (/.f64 (*.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 a a)) (*.f64 b b))))) b) |
(* -2 b) |
(*.f64 b #s(literal -2 binary64)) |
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))) |
(neg.f64 (*.f64 b (fma.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 2 binary64)))) |
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(*.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 2 binary64))) (neg.f64 b)) |
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(*.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 a (*.f64 c (*.f64 c c))))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 2 binary64)))) (neg.f64 b)) |
(* -3/2 (/ (* a c) b)) |
(/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b) |
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(*.f64 a (fma.f64 a (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 c #s(literal -3/2 binary64)) b))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(*.f64 a (fma.f64 a (fma.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (*.f64 #s(literal -27/16 binary64) a) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 c #s(literal -3/2 binary64)) b))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
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(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64)) (*.f64 (/.f64 b a) #s(literal -1/3 binary64))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/6 binary64)) (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64)) (*.f64 (/.f64 b a) #s(literal -1/3 binary64)))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(fma.f64 (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/72 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/6 binary64)) (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64)) (*.f64 (/.f64 b a) #s(literal -1/3 binary64))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal -1/3 binary64))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 b a)) #s(literal -1/3 binary64)) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(-.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal -1/3 binary64))) (/.f64 (fma.f64 (/.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) #s(literal 1/6 binary64)) (*.f64 b #s(literal 1/3 binary64))) a)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(-.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal -1/3 binary64))) (/.f64 (-.f64 (*.f64 b #s(literal 1/3 binary64)) (/.f64 (fma.f64 (/.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 a c)) #s(literal -1/6 binary64)) (*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64))) #s(literal 1/72 binary64))) a)) a)) |
(* -1/2 (/ c b)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(*.f64 c (fma.f64 c (fma.f64 (*.f64 a a) (*.f64 (/.f64 c (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64)) (/.f64 (*.f64 a #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1/2 binary64) b))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 a b)) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 a #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1/2 binary64) b))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(*.f64 c (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64)) (*.f64 #s(literal -1/3 binary64) (/.f64 b (*.f64 a c))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(*.f64 c (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 c (*.f64 c c))))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/6 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64)) (*.f64 #s(literal -1/3 binary64) (/.f64 b (*.f64 a c)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(*.f64 c (fma.f64 #s(literal -1/3 binary64) (/.f64 b (*.f64 a c)) (fma.f64 (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/72 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 c (*.f64 c c))))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/6 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64))))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal -1/3 binary64))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(*.f64 c (*.f64 #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 b (*.f64 a c))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(*.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1/3 binary64))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.f64 (/.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64))) #s(literal -1/6 binary64)) (*.f64 (/.f64 b a) #s(literal -1/3 binary64))) c)) (neg.f64 c)) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(*.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1/3 binary64))) (/.f64 (-.f64 (*.f64 (/.f64 b a) #s(literal -1/3 binary64)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (pow.f64 a #s(literal 5 binary64)))))) (sqrt.f64 #s(literal 3 binary64))) #s(literal -1/72 binary64) (*.f64 (/.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 c (*.f64 a (*.f64 a a))))))) c)) c)) (neg.f64 c)) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* 3 (* a c)) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(* 3 (* a c)) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(* 3 (* a c)) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(* 3 (* a c)) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(* 3 (* a c)) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(* 3 (* a c)) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(* 3 (* a c)) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(* 3 (* a c)) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(* 3 (* a c)) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(* 3 (* a c)) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(* 3 (* a c)) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(* 3 (* a c)) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(* 3 (* a c)) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(* 3 (* a c)) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(* 3 (* a c)) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(* 3 (* a c)) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(* 3 (* a c)) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(* 3 (* a c)) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(* 3 (* a c)) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(* 3 (* a c)) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(* 3 (* a c)) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(* 3 (* a c)) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(* 3 (* a c)) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(* 3 (* a c)) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
| 4 876× | lower-fma.f64 |
| 4 876× | lower-fma.f32 |
| 3 870× | lower-*.f32 |
| 3 864× | lower-*.f64 |
| 2 328× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 46 |
| 0 | 20 | 46 |
| 1 | 71 | 44 |
| 2 | 525 | 43 |
| 3 | 6836 | 43 |
| 0 | 8125 | 40 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(neg.f64 b) |
(*.f64 (*.f64 #s(literal 3 binary64) a) c) |
| Outputs |
|---|
(+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) |
(+.f64 b (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
(+.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) b) |
(+.f64 #s(literal 0 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) |
(+.f64 (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (neg.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))) |
(+.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 0 binary64)) b) |
(+.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) b) |
(-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) b) |
(-.f64 #s(literal 0 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) |
(-.f64 (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
(-.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
(-.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 0 binary64)) b) |
(fma.f64 b #s(literal 1 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) |
(fma.f64 b #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
(fma.f64 b #s(literal -1 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) |
(fma.f64 b #s(literal -1 binary64) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
(fma.f64 b (/.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (neg.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))) |
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (neg.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))) |
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) |
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) b) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
(fma.f64 (*.f64 b (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) |
(fma.f64 (*.f64 b (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 b b)) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
(fma.f64 #s(literal 1 binary64) b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) |
(fma.f64 #s(literal 1 binary64) b (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (neg.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))) |
(fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) |
(fma.f64 #s(literal -1 binary64) b (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (neg.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))) |
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b))))) #s(literal 1/2 binary64)) b) |
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b)))))) b) |
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b)))))) b) |
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 1/2 binary64)) b) |
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(*.f64 (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (/.f64 #s(literal 1/3 binary64) a))) |
(*.f64 (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (/.f64 (/.f64 #s(literal 1/3 binary64) a) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) |
(*.f64 (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (*.f64 (*.f64 #s(literal 3 binary64) a) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) |
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -3 binary64)))) |
(*.f64 (fma.f64 b b (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a))) |
(*.f64 (fma.f64 b b (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 #s(literal 3 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))))) |
(*.f64 (fma.f64 b b (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (/.f64 #s(literal 1/3 binary64) a))) |
(*.f64 (fma.f64 b b (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (/.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (/.f64 #s(literal -1/3 binary64) a)) |
(*.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) a)) |
(*.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 a))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a)) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64))) |
(*.f64 (/.f64 (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a)) (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) |
(*.f64 (/.f64 (fma.f64 b b (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
(*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64)) |
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) |
(*.f64 (pow.f64 (/.f64 (*.f64 a #s(literal -3 binary64)) (fma.f64 b b (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
(*.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (neg.f64 a))) |
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal -1/3 binary64))) |
(*.f64 (/.f64 (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a)) |
(*.f64 (/.f64 (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) a) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 3 binary64))) |
(*.f64 (/.f64 (fma.f64 b b (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) a)) |
(*.f64 (/.f64 (fma.f64 b b (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) a) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #s(literal 3 binary64))) |
(*.f64 (/.f64 (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) |
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (/.f64 #s(literal -1/3 binary64) a)) |
(*.f64 (/.f64 (/.f64 (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a)) (fma.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) (*.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (fma.f64 b b (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (fma.f64 b (*.f64 b (*.f64 b b)) (fma.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (fma.f64 b b (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))))))) |
(*.f64 (/.f64 (/.f64 (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a)) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (fma.f64 b b (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) (neg.f64 (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) |
(*.f64 (/.f64 (/.f64 (fma.f64 b b (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) (fma.f64 b b (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b)))) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) |
(*.f64 (/.f64 (/.f64 (fma.f64 b b (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) |
b |
(+.f64 b #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) b) |
(exp.f64 (*.f64 (log.f64 b) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) b) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 b b)) b) |
(-.f64 (/.f64 #s(literal 0 binary64) b) b) |
(fma.f64 b #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 b #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) b) #s(literal 0 binary64)) |
(fma.f64 (*.f64 b (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) b #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) b #s(literal 0 binary64)) |
(fma.f64 (pow.f64 b #s(literal 1/2 binary64)) (pow.f64 b #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(neg.f64 b) |
(/.f64 (*.f64 b b) b) |
(/.f64 (*.f64 b (*.f64 b b)) (*.f64 b b)) |
(/.f64 (*.f64 b (*.f64 b b)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 b b) #s(literal 0 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 b b))) |
(pow.f64 b #s(literal 1 binary64)) |
(*.f64 b #s(literal 1 binary64)) |
(*.f64 b #s(literal -1 binary64)) |
(*.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 (*.f64 b (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) |
(*.f64 #s(literal 1 binary64) b) |
(*.f64 #s(literal -1 binary64) b) |
(*.f64 (pow.f64 b #s(literal 1/2 binary64)) (pow.f64 b #s(literal 1/2 binary64))) |
(*.f64 #s(literal 3 binary64) (*.f64 a c)) |
(*.f64 a (*.f64 #s(literal 3 binary64) c)) |
(*.f64 (*.f64 #s(literal 3 binary64) a) c) |
(*.f64 c (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (*.f64 a c) #s(literal 3 binary64)) |
(*.f64 (*.f64 #s(literal 3 binary64) c) a) |
Compiled 20 413 to 1 864 computations (90.9% saved)
32 alts after pruning (32 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 522 | 32 | 554 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 523 | 32 | 555 |
| Status | Accuracy | Program |
|---|---|---|
| 55.2% | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b (*.f64 b b)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) | |
| 54.8% | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) b) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| ▶ | 55.9% | (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) |
| 56.6% | (/.f64 (-.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) (*.f64 #s(literal 3 binary64) a)) | |
| 55.9% | (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 3 binary64) a)) | |
| 56.0% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) | |
| 56.0% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (*.f64 #s(literal 3 binary64) a)) | |
| ▶ | 55.9% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (/.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a)) |
| 56.0% | (/.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (/.f64 #s(literal 1 binary64) a)) #s(literal -3 binary64)) | |
| 90.6% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) #s(literal -27/16 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 a (*.f64 c #s(literal -3/2 binary64)) (/.f64 (*.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 a a)) (*.f64 b b))))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 87.6% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (*.f64 a a) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 b b)) (fma.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 a c) #s(literal -3/2 binary64)))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 81.7% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 a (*.f64 c #s(literal -3/2 binary64)) (/.f64 (*.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 a a)) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 64.0% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 90.8% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 a (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 c #s(literal -1/2 binary64)) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64)))) b)) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) (*.f64 #s(literal 3 binary64) a)) | |
| ▶ | 87.8% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 c (fma.f64 #s(literal -9/8 binary64) (*.f64 a (/.f64 a (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) (*.f64 #s(literal 3 binary64) a)) |
| 81.7% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 #s(literal -3/2 binary64) (/.f64 a b) (/.f64 (*.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) c) (*.f64 b (*.f64 b b)))))) (*.f64 #s(literal 3 binary64) a)) | |
| 87.5% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 a (fma.f64 a (fma.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (*.f64 #s(literal -27/16 binary64) a) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 c #s(literal -3/2 binary64)) b)))) (*.f64 #s(literal 3 binary64) a)) | |
| 90.6% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 a (fma.f64 a (fma.f64 a (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 c #s(literal -3/2 binary64)) b)))) (*.f64 #s(literal 3 binary64) a)) | |
| 81.6% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 a (fma.f64 a (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 c #s(literal -3/2 binary64)) b)))) (*.f64 #s(literal 3 binary64) a)) | |
| 55.9% | (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) | |
| 55.3% | (-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) (/.f64 b (*.f64 #s(literal 3 binary64) a))) | |
| 56.0% | (*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) | |
| 81.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 c (/.f64 #s(literal -1/2 binary64) b) (/.f64 (*.f64 (*.f64 a (*.f64 c c)) #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b))))) | |
| 87.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 a (fma.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (*.f64 #s(literal -9/16 binary64) a) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) | |
| 91.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 a (fma.f64 a (fma.f64 (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) | |
| 88.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64)))) b)) | |
| 81.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b)) | |
| ▶ | 91.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (*.f64 a (pow.f64 b #s(literal 6 binary64))))) (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))))) b)) |
| 87.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (fma.f64 c (fma.f64 (*.f64 a a) (*.f64 (/.f64 c (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64)) (/.f64 (*.f64 a #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1/2 binary64) b)))) | |
| 90.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 a b)) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 a #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1/2 binary64) b)))) | |
| 81.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b)))) | |
| ▶ | 64.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
Compiled 2 126 to 1 228 computations (42.2% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 c (fma.f64 #s(literal -9/8 binary64) (*.f64 a (/.f64 a (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 c (fma.f64 #s(literal -9/8 binary64) (*.f64 a (/.f64 a (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) (*.f64 #s(literal 3 binary64) a)) | |
| cost-diff | 320 | (fma.f64 c (fma.f64 #s(literal -9/8 binary64) (*.f64 a (/.f64 a (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)) | |
| cost-diff | 640 | (fma.f64 #s(literal -9/8 binary64) (*.f64 a (/.f64 a (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) (pow.f64 b #s(literal 5 binary64)))) | |
| cost-diff | 0 | (sqrt.f64 (/.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b)))) | |
| cost-diff | 0 | (neg.f64 b) | |
| cost-diff | 0 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (/.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a)) | |
| cost-diff | 128 | (+.f64 (neg.f64 b) (sqrt.f64 (/.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))))) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) | |
| cost-diff | 0 | (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) | |
| cost-diff | 0 | (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) | |
| cost-diff | 384 | (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) | |
| cost-diff | 0 | (/.f64 c b) | |
| cost-diff | 0 | (*.f64 #s(literal -1/2 binary64) (/.f64 c b)) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) | |
| cost-diff | 320 | (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) | |
| cost-diff | 320 | (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (*.f64 a (pow.f64 b #s(literal 6 binary64))))) (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64)))) | |
| cost-diff | 1152 | (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (*.f64 a (pow.f64 b #s(literal 6 binary64))))) (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))))) | |
| cost-diff | 5504 | (pow.f64 b #s(literal 4 binary64)) |
| 6 776× | lower-fma.f32 |
| 6 760× | lower-fma.f64 |
| 5 120× | lower-*.f32 |
| 5 070× | lower-*.f64 |
| 3 294× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 84 | 864 |
| 0 | 149 | 800 |
| 1 | 279 | 780 |
| 2 | 644 | 776 |
| 3 | 1813 | 766 |
| 4 | 4107 | 759 |
| 5 | 5184 | 759 |
| 6 | 7619 | 759 |
| 0 | 8572 | 738 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (*.f64 a (pow.f64 b #s(literal 6 binary64))))) (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))))) b)) |
(/.f64 (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (*.f64 a (pow.f64 b #s(literal 6 binary64))))) (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))))) b) |
(fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (*.f64 a (pow.f64 b #s(literal 6 binary64))))) (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))))) |
#s(literal -9/16 binary64) |
(/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 4 binary64))) |
(*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) |
a |
(*.f64 a (*.f64 c (*.f64 c c))) |
(*.f64 c (*.f64 c c)) |
c |
(*.f64 c c) |
(pow.f64 b #s(literal 4 binary64)) |
b |
#s(literal 4 binary64) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (*.f64 a (pow.f64 b #s(literal 6 binary64))))) (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64)))) |
#s(literal -1/6 binary64) |
(*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (*.f64 a (pow.f64 b #s(literal 6 binary64))))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) |
(pow.f64 a #s(literal 4 binary64)) |
(pow.f64 c #s(literal 4 binary64)) |
(/.f64 #s(literal 405/64 binary64) (*.f64 a (pow.f64 b #s(literal 6 binary64)))) |
#s(literal 405/64 binary64) |
(*.f64 a (pow.f64 b #s(literal 6 binary64))) |
(pow.f64 b #s(literal 6 binary64)) |
#s(literal 6 binary64) |
(fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) |
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) |
(*.f64 (*.f64 c c) #s(literal -3/8 binary64)) |
#s(literal -3/8 binary64) |
(*.f64 b b) |
(*.f64 c #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
#s(literal -1/2 binary64) |
(/.f64 c b) |
c |
b |
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) |
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) |
(-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) |
b |
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) |
(fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) |
a |
(*.f64 #s(literal -3 binary64) c) |
#s(literal -3 binary64) |
c |
(*.f64 b b) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (/.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (/.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))))) |
(neg.f64 b) |
b |
(sqrt.f64 (/.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b)))) |
(/.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) |
(fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b)))) |
#s(literal -9 binary64) |
(*.f64 a (*.f64 c (*.f64 a c))) |
a |
(*.f64 c (*.f64 a c)) |
c |
(*.f64 a c) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(*.f64 b (*.f64 b b)) |
(*.f64 b b) |
(fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b)) |
#s(literal 3 binary64) |
(*.f64 #s(literal 3 binary64) a) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 c (fma.f64 #s(literal -9/8 binary64) (*.f64 a (/.f64 a (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 c (fma.f64 #s(literal -9/8 binary64) (*.f64 a (/.f64 a (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) |
(*.f64 c (fma.f64 c (fma.f64 #s(literal -9/8 binary64) (*.f64 a (/.f64 a (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b))) |
c |
(fma.f64 c (fma.f64 #s(literal -9/8 binary64) (*.f64 a (/.f64 a (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)) |
(fma.f64 #s(literal -9/8 binary64) (*.f64 a (/.f64 a (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) (pow.f64 b #s(literal 5 binary64)))) |
#s(literal -9/8 binary64) |
(*.f64 a (/.f64 a (*.f64 b (*.f64 b b)))) |
a |
(/.f64 a (*.f64 b (*.f64 b b))) |
(*.f64 b (*.f64 b b)) |
b |
(*.f64 b b) |
(/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) (pow.f64 b #s(literal 5 binary64))) |
(*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) |
(*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) |
(*.f64 a (*.f64 a a)) |
(*.f64 a a) |
#s(literal -27/16 binary64) |
(pow.f64 b #s(literal 5 binary64)) |
#s(literal 5 binary64) |
(/.f64 (*.f64 a #s(literal -3/2 binary64)) b) |
(*.f64 a #s(literal -3/2 binary64)) |
#s(literal -3/2 binary64) |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (*.f64 a (pow.f64 b #s(literal 6 binary64))))) (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 a (*.f64 (/.f64 (*.f64 c c) (*.f64 b b)) (+.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a c)) (*.f64 b b)))) (fma.f64 c #s(literal -1/2 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -135/128 binary64)) (*.f64 a (pow.f64 b #s(literal 6 binary64))))))) b)) |
(/.f64 (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (*.f64 a (pow.f64 b #s(literal 6 binary64))))) (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))))) b) |
(/.f64 (fma.f64 a (*.f64 (/.f64 (*.f64 c c) (*.f64 b b)) (+.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a c)) (*.f64 b b)))) (fma.f64 c #s(literal -1/2 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -135/128 binary64)) (*.f64 a (pow.f64 b #s(literal 6 binary64))))))) b) |
(fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (*.f64 a (pow.f64 b #s(literal 6 binary64))))) (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))))) |
(fma.f64 a (*.f64 (/.f64 (*.f64 c c) (*.f64 b b)) (+.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a c)) (*.f64 b b)))) (fma.f64 c #s(literal -1/2 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -135/128 binary64)) (*.f64 a (pow.f64 b #s(literal 6 binary64))))))) |
#s(literal -9/16 binary64) |
(/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 4 binary64))) |
(/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 b (*.f64 b (*.f64 b b)))) |
(*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) |
a |
(*.f64 a (*.f64 c (*.f64 c c))) |
(*.f64 c (*.f64 c c)) |
c |
(*.f64 c c) |
(pow.f64 b #s(literal 4 binary64)) |
(*.f64 b (*.f64 b (*.f64 b b))) |
b |
#s(literal 4 binary64) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (*.f64 a (pow.f64 b #s(literal 6 binary64))))) (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64)))) |
(fma.f64 (pow.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -135/128 binary64)) (*.f64 a (pow.f64 b #s(literal 6 binary64)))) (*.f64 c (fma.f64 a (*.f64 #s(literal -3/8 binary64) (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)))) |
#s(literal -1/6 binary64) |
(*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (*.f64 a (pow.f64 b #s(literal 6 binary64))))) |
(/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64))) (*.f64 a (pow.f64 b #s(literal 6 binary64)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) |
(pow.f64 a #s(literal 4 binary64)) |
(pow.f64 c #s(literal 4 binary64)) |
(/.f64 #s(literal 405/64 binary64) (*.f64 a (pow.f64 b #s(literal 6 binary64)))) |
#s(literal 405/64 binary64) |
(*.f64 a (pow.f64 b #s(literal 6 binary64))) |
(pow.f64 b #s(literal 6 binary64)) |
#s(literal 6 binary64) |
(fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) |
(*.f64 c (fma.f64 a (*.f64 #s(literal -3/8 binary64) (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64))) |
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) |
(*.f64 c (*.f64 #s(literal -3/8 binary64) (/.f64 c (*.f64 b b)))) |
(*.f64 (*.f64 c c) #s(literal -3/8 binary64)) |
(*.f64 c (*.f64 c #s(literal -3/8 binary64))) |
#s(literal -3/8 binary64) |
(*.f64 b b) |
(*.f64 c #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b) |
#s(literal -1/2 binary64) |
(/.f64 c b) |
c |
b |
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) b) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) |
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) a) |
(-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) |
(-.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) |
b |
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) |
(sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) |
(fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) |
(fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)) |
a |
(*.f64 #s(literal -3 binary64) c) |
(*.f64 c #s(literal -3 binary64)) |
#s(literal -3 binary64) |
c |
(*.f64 b b) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (/.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (sqrt.f64 (/.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 c (*.f64 a (*.f64 c #s(literal -9 binary64)))))) (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b)))) b) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (/.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))))) |
(-.f64 (sqrt.f64 (/.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 c (*.f64 a (*.f64 c #s(literal -9 binary64)))))) (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b)))) b) |
(neg.f64 b) |
b |
(sqrt.f64 (/.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b)))) |
(sqrt.f64 (/.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 c (*.f64 a (*.f64 c #s(literal -9 binary64)))))) (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b)))) |
(/.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) |
(/.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 c (*.f64 a (*.f64 c #s(literal -9 binary64)))))) (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) |
(fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b)))) |
(fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 c (*.f64 a (*.f64 c #s(literal -9 binary64)))))) |
#s(literal -9 binary64) |
(*.f64 a (*.f64 c (*.f64 a c))) |
a |
(*.f64 c (*.f64 a c)) |
c |
(*.f64 a c) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(*.f64 b (*.f64 b b)) |
(*.f64 b b) |
(fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b)) |
#s(literal 3 binary64) |
(*.f64 #s(literal 3 binary64) a) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 c (fma.f64 #s(literal -9/8 binary64) (*.f64 a (/.f64 a (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (*.f64 a (fma.f64 c (*.f64 a (fma.f64 a (/.f64 (*.f64 c #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 #s(literal -9/8 binary64) (*.f64 b (*.f64 b b))))) (/.f64 #s(literal -3/2 binary64) b))))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 c (fma.f64 #s(literal -9/8 binary64) (*.f64 a (/.f64 a (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (*.f64 a (fma.f64 c (*.f64 a (fma.f64 a (/.f64 (*.f64 c #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 #s(literal -9/8 binary64) (*.f64 b (*.f64 b b))))) (/.f64 #s(literal -3/2 binary64) b))))) |
(*.f64 c (fma.f64 c (fma.f64 #s(literal -9/8 binary64) (*.f64 a (/.f64 a (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b))) |
(*.f64 c (*.f64 a (fma.f64 c (*.f64 a (fma.f64 a (/.f64 (*.f64 c #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 #s(literal -9/8 binary64) (*.f64 b (*.f64 b b))))) (/.f64 #s(literal -3/2 binary64) b)))) |
c |
(fma.f64 c (fma.f64 #s(literal -9/8 binary64) (*.f64 a (/.f64 a (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)) |
(*.f64 a (fma.f64 c (*.f64 a (fma.f64 a (/.f64 (*.f64 c #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 #s(literal -9/8 binary64) (*.f64 b (*.f64 b b))))) (/.f64 #s(literal -3/2 binary64) b))) |
(fma.f64 #s(literal -9/8 binary64) (*.f64 a (/.f64 a (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) (pow.f64 b #s(literal 5 binary64)))) |
(*.f64 a (*.f64 a (fma.f64 a (/.f64 (*.f64 c #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 #s(literal -9/8 binary64) (*.f64 b (*.f64 b b)))))) |
#s(literal -9/8 binary64) |
(*.f64 a (/.f64 a (*.f64 b (*.f64 b b)))) |
(/.f64 (*.f64 a a) (*.f64 b (*.f64 b b))) |
a |
(/.f64 a (*.f64 b (*.f64 b b))) |
(*.f64 b (*.f64 b b)) |
b |
(*.f64 b b) |
(/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) (pow.f64 b #s(literal 5 binary64))) |
(/.f64 (*.f64 a (*.f64 #s(literal -27/16 binary64) (*.f64 a (*.f64 a c)))) (pow.f64 b #s(literal 5 binary64))) |
(*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) |
(*.f64 a (*.f64 #s(literal -27/16 binary64) (*.f64 a (*.f64 a c)))) |
(*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) |
(*.f64 a (*.f64 (*.f64 a a) #s(literal -27/16 binary64))) |
(*.f64 a (*.f64 a a)) |
(*.f64 a a) |
#s(literal -27/16 binary64) |
(pow.f64 b #s(literal 5 binary64)) |
#s(literal 5 binary64) |
(/.f64 (*.f64 a #s(literal -3/2 binary64)) b) |
(*.f64 a #s(literal -3/2 binary64)) |
#s(literal -3/2 binary64) |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.309257519536884 | (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) (pow.f64 b #s(literal 5 binary64))) | |
| accuracy | 0.328125 | (fma.f64 #s(literal -9/8 binary64) (*.f64 a (/.f64 a (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) (pow.f64 b #s(literal 5 binary64)))) | |
| accuracy | 0.3678512695368841 | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 c (fma.f64 #s(literal -9/8 binary64) (*.f64 a (/.f64 a (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) (*.f64 #s(literal 3 binary64) a)) | |
| accuracy | 7.556543119115533 | #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 c (fma.f64 #s(literal -9/8 binary64) (*.f64 a (/.f64 a (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) | |
| accuracy | 0.27734375 | (*.f64 a (*.f64 c (*.f64 a c))) | |
| accuracy | 0.3678512695368841 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (/.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a)) | |
| accuracy | 0.38671875 | (/.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) | |
| accuracy | 28.052966832663916 | (+.f64 (neg.f64 b) (sqrt.f64 (/.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))))) | |
| accuracy | 0.25 | (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) | |
| accuracy | 0.2578125 | (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) | |
| accuracy | 0.265625 | (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) | |
| accuracy | 28.052966832663916 | (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) | |
| accuracy | 0 | (/.f64 c b) | |
| accuracy | 0 | (*.f64 #s(literal -1/2 binary64) (/.f64 c b)) | |
| accuracy | 22.98538953303501 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) | |
| accuracy | 0.35546875 | (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) | |
| accuracy | 0.35546875 | (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (*.f64 a (pow.f64 b #s(literal 6 binary64))))) | |
| accuracy | 0.3671875 | (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 4 binary64))) | |
| accuracy | 5.5722343687353995 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (*.f64 a (pow.f64 b #s(literal 6 binary64))))) (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))))) b)) |
| 110.0ms | 170× | 0 | valid |
| 93.0ms | 86× | 1 | valid |
Compiled 772 to 87 computations (88.7% saved)
ival-mult: 70.0ms (47.2% of total)ival-div: 24.0ms (16.2% of total)ival-add: 14.0ms (9.4% of total)ival-pow: 13.0ms (8.8% of total)adjust: 10.0ms (6.7% of total)ival-sqrt: 8.0ms (5.4% of total)const: 4.0ms (2.7% of total)ival-sub: 3.0ms (2% of total)exact: 1.0ms (0.7% of total)ival-neg: 1.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (pow.f64 b #s(literal 4 binary64)) (patch (pow.f64 b #s(literal 4 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (*.f64 a (pow.f64 b #s(literal 6 binary64))))) (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))))) (patch (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (*.f64 a (pow.f64 b #s(literal 6 binary64))))) (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (*.f64 a (pow.f64 b #s(literal 6 binary64))))) (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64)))) (patch (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (*.f64 a (pow.f64 b #s(literal 6 binary64))))) (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (patch (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -1/2 binary64) (/.f64 c b)) (patch (*.f64 #s(literal -1/2 binary64) (/.f64 c b)) #<representation binary64>) () ()) |
#s(alt (/.f64 c b) (patch (/.f64 c b) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) (patch (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #<representation binary64>) () ()) |
#s(alt (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (patch (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (patch (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) #<representation binary64>) () ()) |
#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (/.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (/.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))))) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (/.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (/.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ()) |
#s(alt (neg.f64 b) (patch (neg.f64 b) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (/.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b)))) (patch (sqrt.f64 (/.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -9/8 binary64) (*.f64 a (/.f64 a (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) (pow.f64 b #s(literal 5 binary64)))) (patch (fma.f64 #s(literal -9/8 binary64) (*.f64 a (/.f64 a (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) (pow.f64 b #s(literal 5 binary64)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 c (fma.f64 #s(literal -9/8 binary64) (*.f64 a (/.f64 a (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)) (patch (fma.f64 c (fma.f64 #s(literal -9/8 binary64) (*.f64 a (/.f64 a (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 c (fma.f64 #s(literal -9/8 binary64) (*.f64 a (/.f64 a (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 c (fma.f64 #s(literal -9/8 binary64) (*.f64 a (/.f64 a (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 c (fma.f64 #s(literal -9/8 binary64) (*.f64 a (/.f64 a (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) (patch #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 c (fma.f64 #s(literal -9/8 binary64) (*.f64 a (/.f64 a (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (*.f64 a (pow.f64 b #s(literal 6 binary64))))) (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))))) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (*.f64 a (pow.f64 b #s(literal 6 binary64))))) (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))))) b)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 4 binary64))) (patch (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 4 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (*.f64 a (pow.f64 b #s(literal 6 binary64))))) (patch (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (*.f64 a (pow.f64 b #s(literal 6 binary64))))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (patch (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) #<representation binary64>) () ()) |
#s(alt (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (patch (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (patch (/.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) #<representation binary64>) () ()) |
#s(alt (*.f64 a (*.f64 c (*.f64 a c))) (patch (*.f64 a (*.f64 c (*.f64 a c))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) (pow.f64 b #s(literal 5 binary64))) (patch (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) (pow.f64 b #s(literal 5 binary64))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (pow b 4) (taylor 0 b) (#s(alt (pow.f64 b #s(literal 4 binary64)) (patch (pow.f64 b #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow b 4) (taylor 0 b) (#s(alt (pow.f64 b #s(literal 4 binary64)) (patch (pow.f64 b #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow b 4) (taylor 0 b) (#s(alt (pow.f64 b #s(literal 4 binary64)) (patch (pow.f64 b #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow b 4) (taylor 0 b) (#s(alt (pow.f64 b #s(literal 4 binary64)) (patch (pow.f64 b #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow b 4) (taylor inf b) (#s(alt (pow.f64 b #s(literal 4 binary64)) (patch (pow.f64 b #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow b 4) (taylor inf b) (#s(alt (pow.f64 b #s(literal 4 binary64)) (patch (pow.f64 b #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow b 4) (taylor inf b) (#s(alt (pow.f64 b #s(literal 4 binary64)) (patch (pow.f64 b #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow b 4) (taylor inf b) (#s(alt (pow.f64 b #s(literal 4 binary64)) (patch (pow.f64 b #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow b 4) (taylor -inf b) (#s(alt (pow.f64 b #s(literal 4 binary64)) (patch (pow.f64 b #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow b 4) (taylor -inf b) (#s(alt (pow.f64 b #s(literal 4 binary64)) (patch (pow.f64 b #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow b 4) (taylor -inf b) (#s(alt (pow.f64 b #s(literal 4 binary64)) (patch (pow.f64 b #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow b 4) (taylor -inf b) (#s(alt (pow.f64 b #s(literal 4 binary64)) (patch (pow.f64 b #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 c) (taylor 0 a) (#s(alt (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (*.f64 a (pow.f64 b #s(literal 6 binary64))))) (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))))) (patch (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (*.f64 a (pow.f64 b #s(literal 6 binary64))))) (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) (taylor 0 a) (#s(alt (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (*.f64 a (pow.f64 b #s(literal 6 binary64))))) (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))))) (patch (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (*.f64 a (pow.f64 b #s(literal 6 binary64))))) (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 c) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 4))) (* -3/8 (/ (pow c 2) (pow b 2)))))) (taylor 0 a) (#s(alt (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (*.f64 a (pow.f64 b #s(literal 6 binary64))))) (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))))) (patch (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (*.f64 a (pow.f64 b #s(literal 6 binary64))))) (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 c) (* a (+ (* -3/8 (/ (pow c 2) (pow b 2))) (* a (+ (* -135/128 (/ (* a (pow c 4)) (pow b 6))) (* -9/16 (/ (pow c 3) (pow b 4)))))))) (taylor 0 a) (#s(alt (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (*.f64 a (pow.f64 b #s(literal 6 binary64))))) (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))))) (patch (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (*.f64 a (pow.f64 b #s(literal 6 binary64))))) (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))))) #<representation binary64>) () ())) ()) |
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#s(alt (* -2/3 (/ b a)) (taylor -inf b) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) (taylor -inf b) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) (taylor -inf b) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) (taylor -inf b) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ c b)) (taylor 0 a) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) (taylor 0 a) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) (taylor 0 a) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (taylor inf a) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) (taylor inf a) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) (taylor inf a) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) (taylor inf a) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (taylor -inf a) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) (taylor -inf a) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) (taylor -inf a) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) (taylor -inf a) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ c b)) (taylor 0 c) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (taylor inf c) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) (taylor inf c) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) (taylor inf c) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) (taylor inf c) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (taylor -inf c) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) (taylor -inf c) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) (taylor -inf c) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) (taylor -inf c) (#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt (/ c a)) (sqrt -3))) (taylor 0 b) (#s(alt (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) (patch (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -3))) (/ b a)) (taylor 0 b) (#s(alt (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) (patch (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -3))) (* b (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (/ 1 a)))) (taylor 0 b) (#s(alt (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) (patch (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -3))) (* b (+ (* b (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (/ 1 a)))) (taylor 0 b) (#s(alt (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) (patch (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #<representation binary64>) () ())) ()) |
#s(alt (* 3/2 (/ c b)) (taylor inf b) (#s(alt (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) (patch (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 9/8 (/ (* a (pow c 2)) (pow b 2))) (* 3/2 c)) b) (taylor inf b) (#s(alt (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) (patch (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 9/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 3/2 c) (* 27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b) (taylor inf b) (#s(alt (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) (patch (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 9/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 3/2 c) (* 27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4)))))) b) (taylor inf b) (#s(alt (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) (patch (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ b a)) (taylor -inf b) (#s(alt (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) (patch (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (- (* 3/2 (/ c (pow b 2))) (* 2 (/ 1 a))))) (taylor -inf b) (#s(alt (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) (patch (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (- (+ (* 9/8 (/ (* a (pow c 2)) (pow b 4))) (* 3/2 (/ c (pow b 2)))) (* 2 (/ 1 a))))) (taylor -inf b) (#s(alt (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) (patch (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (- (+ (* 9/8 (/ (* a (pow c 2)) (pow b 4))) (+ (* 3/2 (/ c (pow b 2))) (* 27/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))))) (* 2 (/ 1 a))))) (taylor -inf b) (#s(alt (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) (patch (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #<representation binary64>) () ())) ()) |
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#s(alt (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (taylor 0 a) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) (pow.f64 b #s(literal 5 binary64))) (patch (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) (pow.f64 b #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (taylor 0 a) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) (pow.f64 b #s(literal 5 binary64))) (patch (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) (pow.f64 b #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (taylor inf a) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) (pow.f64 b #s(literal 5 binary64))) (patch (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) (pow.f64 b #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (taylor inf a) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) (pow.f64 b #s(literal 5 binary64))) (patch (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) (pow.f64 b #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (taylor inf a) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) (pow.f64 b #s(literal 5 binary64))) (patch (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) (pow.f64 b #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (taylor inf a) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) (pow.f64 b #s(literal 5 binary64))) (patch (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) (pow.f64 b #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (taylor -inf a) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) (pow.f64 b #s(literal 5 binary64))) (patch (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) (pow.f64 b #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (taylor -inf a) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) (pow.f64 b #s(literal 5 binary64))) (patch (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) (pow.f64 b #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (taylor -inf a) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) (pow.f64 b #s(literal 5 binary64))) (patch (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) (pow.f64 b #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (taylor -inf a) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) (pow.f64 b #s(literal 5 binary64))) (patch (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) (pow.f64 b #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (taylor 0 c) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) (pow.f64 b #s(literal 5 binary64))) (patch (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) (pow.f64 b #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (taylor 0 c) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) (pow.f64 b #s(literal 5 binary64))) (patch (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) (pow.f64 b #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (taylor 0 c) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) (pow.f64 b #s(literal 5 binary64))) (patch (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) (pow.f64 b #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (taylor 0 c) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) (pow.f64 b #s(literal 5 binary64))) (patch (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) (pow.f64 b #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (taylor inf c) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) (pow.f64 b #s(literal 5 binary64))) (patch (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) (pow.f64 b #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (taylor inf c) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) (pow.f64 b #s(literal 5 binary64))) (patch (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) (pow.f64 b #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (taylor inf c) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) (pow.f64 b #s(literal 5 binary64))) (patch (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) (pow.f64 b #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (taylor inf c) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) (pow.f64 b #s(literal 5 binary64))) (patch (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) (pow.f64 b #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (taylor -inf c) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) (pow.f64 b #s(literal 5 binary64))) (patch (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) (pow.f64 b #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (taylor -inf c) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) (pow.f64 b #s(literal 5 binary64))) (patch (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) (pow.f64 b #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (taylor -inf c) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) (pow.f64 b #s(literal 5 binary64))) (patch (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) (pow.f64 b #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (taylor -inf c) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) (pow.f64 b #s(literal 5 binary64))) (patch (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) (pow.f64 b #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (taylor 0 b) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) (pow.f64 b #s(literal 5 binary64))) (patch (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) (pow.f64 b #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (taylor 0 b) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) (pow.f64 b #s(literal 5 binary64))) (patch (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) (pow.f64 b #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (taylor 0 b) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) (pow.f64 b #s(literal 5 binary64))) (patch (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) (pow.f64 b #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (taylor 0 b) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) (pow.f64 b #s(literal 5 binary64))) (patch (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) (pow.f64 b #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (taylor inf b) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) (pow.f64 b #s(literal 5 binary64))) (patch (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) (pow.f64 b #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (taylor inf b) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) (pow.f64 b #s(literal 5 binary64))) (patch (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) (pow.f64 b #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (taylor inf b) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) (pow.f64 b #s(literal 5 binary64))) (patch (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) (pow.f64 b #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (taylor inf b) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) (pow.f64 b #s(literal 5 binary64))) (patch (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) (pow.f64 b #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (taylor -inf b) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) (pow.f64 b #s(literal 5 binary64))) (patch (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) (pow.f64 b #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (taylor -inf b) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) (pow.f64 b #s(literal 5 binary64))) (patch (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) (pow.f64 b #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (taylor -inf b) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) (pow.f64 b #s(literal 5 binary64))) (patch (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) (pow.f64 b #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (taylor -inf b) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) (pow.f64 b #s(literal 5 binary64))) (patch (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) (pow.f64 b #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
219 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | c | @ | inf | (+ (neg b) (sqrt (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))))) |
| 3.0ms | b | @ | inf | (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) |
| 3.0ms | b | @ | 0 | (+ (* -9/16 (/ (* a (* a (* c (* c c)))) (pow b 4))) (+ (* -1/6 (* (* (pow a 4) (pow c 4)) (/ 405/64 (* a (pow b 6))))) (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)))) |
| 2.0ms | b | @ | inf | (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) |
| 2.0ms | b | @ | 0 | (+ (neg b) (sqrt (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))))) |
| 1× | egg-herbie |
| 8 162× | lower-fma.f64 |
| 8 162× | lower-fma.f32 |
| 6 966× | lower-*.f64 |
| 6 966× | lower-*.f32 |
| 5 830× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1118 | 17533 |
| 1 | 3608 | 17423 |
| 0 | 8348 | 16692 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow b 4) |
(pow b 4) |
(pow b 4) |
(pow b 4) |
(pow b 4) |
(pow b 4) |
(pow b 4) |
(pow b 4) |
(pow b 4) |
(pow b 4) |
(pow b 4) |
(pow b 4) |
(* -1/2 c) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(+ (* -1/2 c) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 4))) (* -3/8 (/ (pow c 2) (pow b 2)))))) |
(+ (* -1/2 c) (* a (+ (* -3/8 (/ (pow c 2) (pow b 2))) (* a (+ (* -135/128 (/ (* a (pow c 4)) (pow b 6))) (* -9/16 (/ (pow c 3) (pow b 4)))))))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 6))) (* -9/16 (/ (pow c 3) (* a (pow b 4)))))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 6))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 4)))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 2))))))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 6))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 4)))) (+ (* -1/2 (/ c (pow a 3))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 2)))))))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* -1 (* (pow a 3) (+ (* 9/16 (/ (pow c 3) (* a (pow b 4)))) (* 135/128 (/ (pow c 4) (pow b 6)))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -9/16 (/ (pow c 3) (pow b 4))) (* -3/8 (/ (pow c 2) (* a (pow b 2))))) a)) (* 135/128 (/ (pow c 4) (pow b 6)))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a))) a)) (* -9/16 (/ (pow c 3) (pow b 4)))) a)) (* 135/128 (/ (pow c 4) (pow b 6)))))) |
(* -1/2 c) |
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2)) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 4))) (* -3/8 (/ a (pow b 2))))) 1/2)) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 2))) (* c (+ (* -135/128 (/ (* (pow a 3) c) (pow b 6))) (* -9/16 (/ (pow a 2) (pow b 4))))))) 1/2)) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 6))) (* -9/16 (/ (pow a 2) (* (pow b 4) c))))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 6))) (+ (* -9/16 (/ (pow a 2) (* (pow b 4) c))) (* -3/8 (/ a (* (pow b 2) (pow c 2))))))) |
(* (pow c 4) (- (+ (* -135/128 (/ (pow a 3) (pow b 6))) (+ (* -9/16 (/ (pow a 2) (* (pow b 4) c))) (* -3/8 (/ a (* (pow b 2) (pow c 2)))))) (* 1/2 (/ 1 (pow c 3))))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 6))) (* -9/16 (/ (pow a 2) (* (pow b 4) c))))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 6))) (* -1 (/ (+ (* 3/8 (/ a (* (pow b 2) c))) (* 9/16 (/ (pow a 2) (pow b 4)))) c)))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 6))) (* -1 (/ (+ (* -1 (/ (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c))) c)) (* 9/16 (/ (pow a 2) (pow b 4)))) c)))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* -9/16 (* (pow a 2) (* (pow b 2) (pow c 3))))) (pow b 6)) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* (pow a 2) (pow c 3))) (* -3/8 (* a (* (pow b 2) (pow c 2))))))) (pow b 6)) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))))))) (pow b 6)) |
(* -1/2 c) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) |
(+ (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))))) |
(* -1/2 c) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) |
(+ (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))))) |
(* -1/2 c) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(+ (* -1/2 c) (* a (+ (* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 6))) (* -3/8 (/ (pow c 2) (pow b 2)))))) |
(+ (* -1/2 c) (* a (+ (* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 6))) (* -3/8 (/ (pow c 2) (pow b 2)))))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 6))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 2)))))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 6))) (+ (* -1/2 (/ c (pow a 3))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 2))))))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 6))) (+ (* -1/2 (/ c (pow a 3))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 2))))))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* -1 (* (pow a 3) (+ (* 3/8 (/ (pow c 2) (* (pow a 2) (pow b 2)))) (* 135/128 (/ (pow c 4) (pow b 6)))))) |
(* -1 (* (pow a 3) (+ (* 3/8 (/ (pow c 2) (* (pow a 2) (pow b 2)))) (+ (* 1/2 (/ c (pow a 3))) (* 135/128 (/ (pow c 4) (pow b 6))))))) |
(* -1 (* (pow a 3) (+ (* 3/8 (/ (pow c 2) (* (pow a 2) (pow b 2)))) (+ (* 1/2 (/ c (pow a 3))) (* 135/128 (/ (pow c 4) (pow b 6))))))) |
(* -1/2 c) |
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2)) |
(* c (- (* c (+ (* -135/128 (/ (* (pow a 3) (pow c 2)) (pow b 6))) (* -3/8 (/ a (pow b 2))))) 1/2)) |
(* c (- (* c (+ (* -135/128 (/ (* (pow a 3) (pow c 2)) (pow b 6))) (* -3/8 (/ a (pow b 2))))) 1/2)) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 6))) (* -3/8 (/ a (* (pow b 2) (pow c 2)))))) |
(* (pow c 4) (- (+ (* -135/128 (/ (pow a 3) (pow b 6))) (* -3/8 (/ a (* (pow b 2) (pow c 2))))) (/ 1/2 (pow c 3)))) |
(* (pow c 4) (- (+ (* -135/128 (/ (pow a 3) (pow b 6))) (* -3/8 (/ a (* (pow b 2) (pow c 2))))) (/ 1/2 (pow c 3)))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 6))) (* -3/8 (/ a (* (pow b 2) (pow c 2)))))) |
(* (pow c 4) (- (+ (* -135/128 (/ (pow a 3) (pow b 6))) (* -3/8 (/ a (* (pow b 2) (pow c 2))))) (/ 1/2 (pow c 3)))) |
(* (pow c 4) (- (+ (* -135/128 (/ (pow a 3) (pow b 6))) (* -3/8 (/ a (* (pow b 2) (pow c 2))))) (/ 1/2 (pow c 3)))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* -3/8 (* a (* (pow b 4) (pow c 2))))) (pow b 6)) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* (pow b 4) (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))))) (pow b 6)) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* (pow b 4) (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))))) (pow b 6)) |
(* -1/2 c) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(+ (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) |
(+ (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) |
(* -1/2 c) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(+ (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) |
(+ (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) |
(* -1/2 c) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 2))) |
(* a (+ (* -1/2 (/ c a)) (* -3/8 (/ (pow c 2) (pow b 2))))) |
(* a (+ (* -1/2 (/ c a)) (* -3/8 (/ (pow c 2) (pow b 2))))) |
(* a (+ (* -1/2 (/ c a)) (* -3/8 (/ (pow c 2) (pow b 2))))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 2))) |
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a))))) |
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a))))) |
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a))))) |
(* -1/2 c) |
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2)) |
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2)) |
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2)) |
(* -3/8 (/ (* a (pow c 2)) (pow b 2))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 2))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 2))) |
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 2)) |
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 2)) |
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 2)) |
(* -1/2 c) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(* -1/2 c) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(* -1/2 (/ c b)) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* -1/2 (/ c b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(* -1/2 (/ c b)) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* -1/2 (/ c b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -3))) (/ b a)) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -3))) (* b (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (/ 1 a)))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -3))) (* b (+ (* b (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (/ 1 a)))) |
(* 3/2 (/ c b)) |
(/ (+ (* 9/8 (/ (* a (pow c 2)) (pow b 2))) (* 3/2 c)) b) |
(/ (+ (* 9/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 3/2 c) (* 27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b) |
(/ (+ (* 1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 9/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 3/2 c) (* 27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4)))))) b) |
(* 2 (/ b a)) |
(* -1 (* b (- (* 3/2 (/ c (pow b 2))) (* 2 (/ 1 a))))) |
(* -1 (* b (- (+ (* 9/8 (/ (* a (pow c 2)) (pow b 4))) (* 3/2 (/ c (pow b 2)))) (* 2 (/ 1 a))))) |
(* -1 (* b (- (+ (* 9/8 (/ (* a (pow c 2)) (pow b 4))) (+ (* 3/2 (/ c (pow b 2))) (* 27/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))))) (* 2 (/ 1 a))))) |
(* 3/2 (/ c b)) |
(+ (* 9/8 (/ (* a (pow c 2)) (pow b 3))) (* 3/2 (/ c b))) |
(+ (* 3/2 (/ c b)) (* a (+ (* 9/8 (/ (pow c 2) (pow b 3))) (* 27/16 (/ (* a (pow c 3)) (pow b 5)))))) |
(+ (* 3/2 (/ c b)) (* a (+ (* 9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* 1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)) (* 27/16 (/ (pow c 3) (pow b 5)))))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -3))) (/ b a)) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (/ b a)))) |
(* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) |
(+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)) |
(+ (* -1 (/ (+ (* -1 b) (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(* 3/2 (/ c b)) |
(* c (+ (* 9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b)))) |
(* c (+ (* c (+ (* 9/8 (/ a (pow b 3))) (* 27/16 (/ (* (pow a 2) c) (pow b 5))))) (* 3/2 (/ 1 b)))) |
(* c (+ (* c (+ (* 9/8 (/ a (pow b 3))) (* c (+ (* 1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))) (* 27/16 (/ (pow a 2) (pow b 5))))))) (* 3/2 (/ 1 b)))) |
(* -1 (* (sqrt (/ c a)) (sqrt -3))) |
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (/ b (* a c)))) |
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (/ b (* a c))))) |
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (/ b (* a c)))))) |
(* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* -1 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (/ b a)) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) c)) (/ b a)) c))))) |
(* -1 (* (sqrt (* a c)) (sqrt -3))) |
(- b (* (sqrt (* a c)) (sqrt -3))) |
(- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))))) (* (sqrt (* a c)) (sqrt -3))) |
(- (* b (+ 1 (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))) (* (sqrt (* a c)) (sqrt -3))) |
(* 3/2 (/ (* a c) b)) |
(/ (- (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -3/2 (* a c))) b) |
(/ (- (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (- (* 1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b) |
(* 2 b) |
(* -1 (* b (- (* 3/2 (/ (* a c) (pow b 2))) 2))) |
(* -1 (* b (- (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))) |
(* -1 (* b (- (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* 3/2 (/ (* a c) b)) |
(* a (- (* 9/8 (/ (* a (pow c 2)) (pow b 3))) (* -3/2 (/ c b)))) |
(* a (- (* a (- (* 27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))) (* -3/2 (/ c b)))) |
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)) (* -27/16 (/ (pow c 3) (pow b 5))))) (* -9/8 (/ (pow c 2) (pow b 3))))) (* -3/2 (/ c b)))) |
(* -1 (* (sqrt (* a c)) (sqrt -3))) |
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))) |
(* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))) |
(* -1 (* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (- (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (- (* -1 (/ (+ b (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* 3/2 (/ (* a c) b)) |
(* c (- (* 9/8 (/ (* (pow a 2) c) (pow b 3))) (* -3/2 (/ a b)))) |
(* c (- (* c (- (* 27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))) (* -3/2 (/ a b)))) |
(* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)) (* -27/16 (/ (pow a 3) (pow b 5))))) (* -9/8 (/ (pow a 2) (pow b 3))))) (* -3/2 (/ a b)))) |
(* -1 (* (sqrt (* a c)) (sqrt -3))) |
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))) |
(* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))) |
(* -1 (* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (- (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (- (* -1 (/ (+ b (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
b |
(+ b (* -3/2 (/ (* a c) b))) |
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
b |
(+ b (* -3/2 (/ (* a c) b))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))))) |
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5))))))))) |
b |
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 b) |
(* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(* -3/2 (/ (* a c) b)) |
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* -2 b) |
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -3/2 (/ (* a c) b)) |
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -3/2 (/ (* a c) b)) |
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(* -1/2 (/ c b)) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* -1/2 (/ c b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
b |
(+ b (* -3/2 (/ (* a c) b))) |
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
b |
(+ b (* -3/2 (/ (* a c) b))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))))) |
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5))))))))) |
b |
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 b) |
(* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -9/8 (/ (pow a 2) (pow b 3))) |
(* (pow a 2) (- (* -27/16 (/ (* a c) (pow b 5))) (* 9/8 (/ 1 (pow b 3))))) |
(* (pow a 2) (- (* -27/16 (/ (* a c) (pow b 5))) (* 9/8 (/ 1 (pow b 3))))) |
(* (pow a 2) (- (* -27/16 (/ (* a c) (pow b 5))) (* 9/8 (/ 1 (pow b 3))))) |
(* -27/16 (/ (* (pow a 3) c) (pow b 5))) |
(* (pow a 3) (- (* -27/16 (/ c (pow b 5))) (* 9/8 (/ 1 (* a (pow b 3)))))) |
(* (pow a 3) (- (* -27/16 (/ c (pow b 5))) (* 9/8 (/ 1 (* a (pow b 3)))))) |
(* (pow a 3) (- (* -27/16 (/ c (pow b 5))) (* 9/8 (/ 1 (* a (pow b 3)))))) |
(* -27/16 (/ (* (pow a 3) c) (pow b 5))) |
(* -1 (* (pow a 3) (+ (* 27/16 (/ c (pow b 5))) (* 9/8 (/ 1 (* a (pow b 3))))))) |
(* -1 (* (pow a 3) (+ (* 27/16 (/ c (pow b 5))) (* 9/8 (/ 1 (* a (pow b 3))))))) |
(* -1 (* (pow a 3) (+ (* 27/16 (/ c (pow b 5))) (* 9/8 (/ 1 (* a (pow b 3))))))) |
(* -27/16 (/ (* (pow a 3) c) (pow b 5))) |
(/ (+ (* -27/16 (* (pow a 3) c)) (* -9/8 (* (pow a 2) (pow b 2)))) (pow b 5)) |
(/ (+ (* -27/16 (* (pow a 3) c)) (* -9/8 (* (pow a 2) (pow b 2)))) (pow b 5)) |
(/ (+ (* -27/16 (* (pow a 3) c)) (* -9/8 (* (pow a 2) (pow b 2)))) (pow b 5)) |
(* -9/8 (/ (pow a 2) (pow b 3))) |
(/ (+ (* -27/16 (/ (* (pow a 3) c) (pow b 2))) (* -9/8 (pow a 2))) (pow b 3)) |
(/ (+ (* -27/16 (/ (* (pow a 3) c) (pow b 2))) (* -9/8 (pow a 2))) (pow b 3)) |
(/ (+ (* -27/16 (/ (* (pow a 3) c) (pow b 2))) (* -9/8 (pow a 2))) (pow b 3)) |
(* -9/8 (/ (pow a 2) (pow b 3))) |
(* -1 (/ (+ (* 9/8 (pow a 2)) (* 27/16 (/ (* (pow a 3) c) (pow b 2)))) (pow b 3))) |
(* -1 (/ (+ (* 9/8 (pow a 2)) (* 27/16 (/ (* (pow a 3) c) (pow b 2)))) (pow b 3))) |
(* -1 (/ (+ (* 9/8 (pow a 2)) (* 27/16 (/ (* (pow a 3) c) (pow b 2)))) (pow b 3))) |
(* -9/8 (/ (pow a 2) (pow b 3))) |
(+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))) |
(+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))) |
(+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))) |
(* -27/16 (/ (* (pow a 3) c) (pow b 5))) |
(* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -9/8 (/ (pow a 2) (* (pow b 3) c))))) |
(* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -9/8 (/ (pow a 2) (* (pow b 3) c))))) |
(* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -9/8 (/ (pow a 2) (* (pow b 3) c))))) |
(* -27/16 (/ (* (pow a 3) c) (pow b 5))) |
(* -1 (* c (+ (* 9/8 (/ (pow a 2) (* (pow b 3) c))) (* 27/16 (/ (pow a 3) (pow b 5)))))) |
(* -1 (* c (+ (* 9/8 (/ (pow a 2) (* (pow b 3) c))) (* 27/16 (/ (pow a 3) (pow b 5)))))) |
(* -1 (* c (+ (* 9/8 (/ (pow a 2) (* (pow b 3) c))) (* 27/16 (/ (pow a 3) (pow b 5)))))) |
(* -3/2 (/ a b)) |
(+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))) |
(+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))) |
(+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))) |
(* -27/16 (/ (* (pow a 3) (pow c 2)) (pow b 5))) |
(* (pow c 2) (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -9/8 (/ (pow a 2) (* (pow b 3) c))))) |
(* (pow c 2) (+ (* -27/16 (/ (pow a 3) (pow b 5))) (+ (* -3/2 (/ a (* b (pow c 2)))) (* -9/8 (/ (pow a 2) (* (pow b 3) c)))))) |
(* (pow c 2) (+ (* -27/16 (/ (pow a 3) (pow b 5))) (+ (* -3/2 (/ a (* b (pow c 2)))) (* -9/8 (/ (pow a 2) (* (pow b 3) c)))))) |
(* -27/16 (/ (* (pow a 3) (pow c 2)) (pow b 5))) |
(* (pow c 2) (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -9/8 (/ (pow a 2) (* (pow b 3) c))))) |
(* (pow c 2) (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1 (/ (+ (* 9/8 (/ (pow a 2) (pow b 3))) (* 3/2 (/ a (* b c)))) c)))) |
(* (pow c 2) (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1 (/ (+ (* 9/8 (/ (pow a 2) (pow b 3))) (* 3/2 (/ a (* b c)))) c)))) |
(* -3/2 (/ a b)) |
(* a (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b)))) |
(* a (- (* a (+ (* -27/16 (/ (* a (pow c 2)) (pow b 5))) (* -9/8 (/ c (pow b 3))))) (* 3/2 (/ 1 b)))) |
(* a (- (* a (+ (* -27/16 (/ (* a (pow c 2)) (pow b 5))) (* -9/8 (/ c (pow b 3))))) (* 3/2 (/ 1 b)))) |
(* -27/16 (/ (* (pow a 3) (pow c 2)) (pow b 5))) |
(* (pow a 3) (+ (* -27/16 (/ (pow c 2) (pow b 5))) (* -9/8 (/ c (* a (pow b 3)))))) |
(* (pow a 3) (- (+ (* -27/16 (/ (pow c 2) (pow b 5))) (* -9/8 (/ c (* a (pow b 3))))) (/ 3/2 (* (pow a 2) b)))) |
(* (pow a 3) (- (+ (* -27/16 (/ (pow c 2) (pow b 5))) (* -9/8 (/ c (* a (pow b 3))))) (/ 3/2 (* (pow a 2) b)))) |
(* -27/16 (/ (* (pow a 3) (pow c 2)) (pow b 5))) |
(* -1 (* (pow a 3) (+ (* 9/8 (/ c (* a (pow b 3)))) (* 27/16 (/ (pow c 2) (pow b 5)))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (- (* -9/8 (/ c (pow b 3))) (* 3/2 (/ 1 (* a b)))) a)) (* 27/16 (/ (pow c 2) (pow b 5)))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (- (* -9/8 (/ c (pow b 3))) (* 3/2 (/ 1 (* a b)))) a)) (* 27/16 (/ (pow c 2) (pow b 5)))))) |
(* -27/16 (/ (* (pow a 3) (pow c 2)) (pow b 5))) |
(/ (+ (* -27/16 (* (pow a 3) (pow c 2))) (* -9/8 (* (pow a 2) (* (pow b 2) c)))) (pow b 5)) |
(/ (+ (* -27/16 (* (pow a 3) (pow c 2))) (* (pow b 2) (+ (* -3/2 (* a (pow b 2))) (* -9/8 (* (pow a 2) c))))) (pow b 5)) |
(/ (+ (* -27/16 (* (pow a 3) (pow c 2))) (* (pow b 2) (+ (* -3/2 (* a (pow b 2))) (* -9/8 (* (pow a 2) c))))) (pow b 5)) |
(* -3/2 (/ a b)) |
(/ (+ (* -3/2 a) (* -9/8 (/ (* (pow a 2) c) (pow b 2)))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (+ (* -3/2 a) (* -9/8 (/ (* (pow a 2) c) (pow b 2))))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (+ (* -3/2 a) (* -9/8 (/ (* (pow a 2) c) (pow b 2))))) b) |
(* -3/2 (/ a b)) |
(* -1 (/ (+ (* 9/8 (/ (* (pow a 2) c) (pow b 2))) (* 3/2 a)) b)) |
(* -1 (/ (+ (* 9/8 (/ (* (pow a 2) c) (pow b 2))) (+ (* 3/2 a) (* 27/16 (/ (* (pow a 3) (pow c 2)) (pow b 4))))) b)) |
(* -1 (/ (+ (* 9/8 (/ (* (pow a 2) c) (pow b 2))) (+ (* 3/2 a) (* 27/16 (/ (* (pow a 3) (pow c 2)) (pow b 4))))) b)) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(* -1/2 (/ c b)) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* -1/2 (/ c b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(* -3/2 (/ (* a c) b)) |
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* -2 b) |
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -3/2 (/ (* a c) b)) |
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -3/2 (/ (* a c) b)) |
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(* -1/2 (/ c b)) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* -1/2 (/ c b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* -3/8 (/ (pow c 2) (pow b 2))) |
(* -3/8 (/ (pow c 2) (pow b 2))) |
(* -3/8 (/ (pow c 2) (pow b 2))) |
(* -3/8 (/ (pow c 2) (pow b 2))) |
(* -3/8 (/ (pow c 2) (pow b 2))) |
(* -3/8 (/ (pow c 2) (pow b 2))) |
(* -3/8 (/ (pow c 2) (pow b 2))) |
(* -3/8 (/ (pow c 2) (pow b 2))) |
(* -3/8 (/ (pow c 2) (pow b 2))) |
(* -3/8 (/ (pow c 2) (pow b 2))) |
(* -3/8 (/ (pow c 2) (pow b 2))) |
(* -3/8 (/ (pow c 2) (pow b 2))) |
(* -3/8 (/ (pow c 2) (pow b 2))) |
(* -3/8 (/ (pow c 2) (pow b 2))) |
(* -3/8 (/ (pow c 2) (pow b 2))) |
(* -3/8 (/ (pow c 2) (pow b 2))) |
(* -3/8 (/ (pow c 2) (pow b 2))) |
(* -3/8 (/ (pow c 2) (pow b 2))) |
(* -3/8 (/ (pow c 2) (pow b 2))) |
(* -3/8 (/ (pow c 2) (pow b 2))) |
(* -3/8 (/ (pow c 2) (pow b 2))) |
(* -3/8 (/ (pow c 2) (pow b 2))) |
(* -3/8 (/ (pow c 2) (pow b 2))) |
(* -3/8 (/ (pow c 2) (pow b 2))) |
(pow b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(* -3 (* a c)) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(* -3 (* a c)) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(pow b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(* -3 (* a c)) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(* -3 (* a c)) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
(* -3 (* a c)) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(pow b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(* -3 (* a c)) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(* -3 (* a c)) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(pow b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(* -3 (* a c)) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(* -3 (* a c)) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
(* -3 (* a c)) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* (pow a 2) (pow c 2)) |
(* (pow a 2) (pow c 2)) |
(* (pow a 2) (pow c 2)) |
(* (pow a 2) (pow c 2)) |
(* (pow a 2) (pow c 2)) |
(* (pow a 2) (pow c 2)) |
(* (pow a 2) (pow c 2)) |
(* (pow a 2) (pow c 2)) |
(* (pow a 2) (pow c 2)) |
(* (pow a 2) (pow c 2)) |
(* (pow a 2) (pow c 2)) |
(* (pow a 2) (pow c 2)) |
(* (pow a 2) (pow c 2)) |
(* (pow a 2) (pow c 2)) |
(* (pow a 2) (pow c 2)) |
(* (pow a 2) (pow c 2)) |
(* (pow a 2) (pow c 2)) |
(* (pow a 2) (pow c 2)) |
(* (pow a 2) (pow c 2)) |
(* (pow a 2) (pow c 2)) |
(* (pow a 2) (pow c 2)) |
(* (pow a 2) (pow c 2)) |
(* (pow a 2) (pow c 2)) |
(* (pow a 2) (pow c 2)) |
(* -27/16 (/ (* (pow a 3) c) (pow b 5))) |
(* -27/16 (/ (* (pow a 3) c) (pow b 5))) |
(* -27/16 (/ (* (pow a 3) c) (pow b 5))) |
(* -27/16 (/ (* (pow a 3) c) (pow b 5))) |
(* -27/16 (/ (* (pow a 3) c) (pow b 5))) |
(* -27/16 (/ (* (pow a 3) c) (pow b 5))) |
(* -27/16 (/ (* (pow a 3) c) (pow b 5))) |
(* -27/16 (/ (* (pow a 3) c) (pow b 5))) |
(* -27/16 (/ (* (pow a 3) c) (pow b 5))) |
(* -27/16 (/ (* (pow a 3) c) (pow b 5))) |
(* -27/16 (/ (* (pow a 3) c) (pow b 5))) |
(* -27/16 (/ (* (pow a 3) c) (pow b 5))) |
(* -27/16 (/ (* (pow a 3) c) (pow b 5))) |
(* -27/16 (/ (* (pow a 3) c) (pow b 5))) |
(* -27/16 (/ (* (pow a 3) c) (pow b 5))) |
(* -27/16 (/ (* (pow a 3) c) (pow b 5))) |
(* -27/16 (/ (* (pow a 3) c) (pow b 5))) |
(* -27/16 (/ (* (pow a 3) c) (pow b 5))) |
(* -27/16 (/ (* (pow a 3) c) (pow b 5))) |
(* -27/16 (/ (* (pow a 3) c) (pow b 5))) |
(* -27/16 (/ (* (pow a 3) c) (pow b 5))) |
(* -27/16 (/ (* (pow a 3) c) (pow b 5))) |
(* -27/16 (/ (* (pow a 3) c) (pow b 5))) |
(* -27/16 (/ (* (pow a 3) c) (pow b 5))) |
(* -27/16 (/ (* (pow a 3) c) (pow b 5))) |
(* -27/16 (/ (* (pow a 3) c) (pow b 5))) |
(* -27/16 (/ (* (pow a 3) c) (pow b 5))) |
(* -27/16 (/ (* (pow a 3) c) (pow b 5))) |
(* -27/16 (/ (* (pow a 3) c) (pow b 5))) |
(* -27/16 (/ (* (pow a 3) c) (pow b 5))) |
(* -27/16 (/ (* (pow a 3) c) (pow b 5))) |
(* -27/16 (/ (* (pow a 3) c) (pow b 5))) |
(* -27/16 (/ (* (pow a 3) c) (pow b 5))) |
(* -27/16 (/ (* (pow a 3) c) (pow b 5))) |
(* -27/16 (/ (* (pow a 3) c) (pow b 5))) |
(* -27/16 (/ (* (pow a 3) c) (pow b 5))) |
| Outputs |
|---|
(pow b 4) |
(pow.f64 b #s(literal 4 binary64)) |
(pow b 4) |
(pow.f64 b #s(literal 4 binary64)) |
(pow b 4) |
(pow.f64 b #s(literal 4 binary64)) |
(pow b 4) |
(pow.f64 b #s(literal 4 binary64)) |
(pow b 4) |
(pow.f64 b #s(literal 4 binary64)) |
(pow b 4) |
(pow.f64 b #s(literal 4 binary64)) |
(pow b 4) |
(pow.f64 b #s(literal 4 binary64)) |
(pow b 4) |
(pow.f64 b #s(literal 4 binary64)) |
(pow b 4) |
(pow.f64 b #s(literal 4 binary64)) |
(pow b 4) |
(pow.f64 b #s(literal 4 binary64)) |
(pow b 4) |
(pow.f64 b #s(literal 4 binary64)) |
(pow b 4) |
(pow.f64 b #s(literal 4 binary64)) |
(* -1/2 c) |
(*.f64 #s(literal -1/2 binary64) c) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 #s(literal -1/2 binary64) c)) |
(+ (* -1/2 c) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 4))) (* -3/8 (/ (pow c 2) (pow b 2)))))) |
(fma.f64 a (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c c) (*.f64 b b)) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) c)) |
(+ (* -1/2 c) (* a (+ (* -3/8 (/ (pow c 2) (pow b 2))) (* a (+ (* -135/128 (/ (* a (pow c 4)) (pow b 6))) (* -9/16 (/ (pow c 3) (pow b 4)))))))) |
(fma.f64 a (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c c) (*.f64 b b)) (*.f64 a (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a (pow.f64 c #s(literal 4 binary64)))) (pow.f64 b #s(literal 6 binary64)))))) (*.f64 #s(literal -1/2 binary64) c)) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(/.f64 (*.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 6))) (* -9/16 (/ (pow c 3) (* a (pow b 4)))))) |
(*.f64 (*.f64 a (*.f64 a a)) (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (pow.f64 b #s(literal 4 binary64)) a)) (/.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64))))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 6))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 4)))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 2))))))) |
(*.f64 (*.f64 a (*.f64 a a)) (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 a a))) (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (pow.f64 b #s(literal 4 binary64)) a)) (/.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64)))))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 6))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 4)))) (+ (* -1/2 (/ c (pow a 3))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 2)))))))) |
(*.f64 (*.f64 a (*.f64 a a)) (fma.f64 #s(literal -135/128 binary64) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 a a))) (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 a (*.f64 a a))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 c (*.f64 c c))) (*.f64 (pow.f64 b #s(literal 4 binary64)) a)))))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(/.f64 (*.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64))) |
(* -1 (* (pow a 3) (+ (* 9/16 (/ (pow c 3) (* a (pow b 4)))) (* 135/128 (/ (pow c 4) (pow b 6)))))) |
(*.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 135/128 binary64) (/.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 c (*.f64 c c))) (*.f64 (pow.f64 b #s(literal 4 binary64)) a))) (neg.f64 (*.f64 a (*.f64 a a)))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -9/16 (/ (pow c 3) (pow b 4))) (* -3/8 (/ (pow c 2) (* a (pow b 2))))) a)) (* 135/128 (/ (pow c 4) (pow b 6)))))) |
(*.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 135/128 binary64) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c c) (*.f64 a (*.f64 b b))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 4 binary64)))) (neg.f64 a))) (neg.f64 (*.f64 a (*.f64 a a)))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a))) a)) (* -9/16 (/ (pow c 3) (pow b 4)))) a)) (* 135/128 (/ (pow c 4) (pow b 6)))))) |
(*.f64 (-.f64 (/.f64 (*.f64 #s(literal 135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64))) (/.f64 (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) (/.f64 (fma.f64 (/.f64 (*.f64 c c) (*.f64 b b)) #s(literal 3/8 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 c a))) (neg.f64 a))) a)) (neg.f64 (*.f64 a (*.f64 a a)))) |
(* -1/2 c) |
(*.f64 #s(literal -1/2 binary64) c) |
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2)) |
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b |
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b |
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(fma.f64 (/.f64 (*.f64 c a) b) #s(literal -3/2 binary64) b) |
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(* (sqrt (* a c)) (sqrt -3)) |
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a))) |
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(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
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(* (sqrt (* a c)) (sqrt -3)) |
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b |
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))) |
(fma.f64 b (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) (*.f64 b b)) b) |
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
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(* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
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(* -1 b) |
(neg.f64 b) |
(* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))) |
(*.f64 (neg.f64 b) (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/2 binary64) #s(literal 1 binary64))) |
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
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(* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
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(* (sqrt (* a c)) (sqrt -3)) |
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a))) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))) |
(fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a)) (neg.f64 b)) |
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(* -3/2 (/ (* a c) b)) |
(*.f64 (/.f64 (*.f64 c a) b) #s(literal -3/2 binary64)) |
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(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
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(* -2 b) |
(*.f64 b #s(literal -2 binary64)) |
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))) |
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(* -3/2 (/ (* a c) b)) |
(*.f64 (/.f64 (*.f64 c a) b) #s(literal -3/2 binary64)) |
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(* (sqrt (* a c)) (sqrt -3)) |
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(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
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(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
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(neg.f64 b) |
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(neg.f64 b) |
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(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
b |
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(fma.f64 (/.f64 (*.f64 c a) b) #s(literal -3/2 binary64) b) |
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(* (sqrt (* a c)) (sqrt -3)) |
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(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
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b |
(+ b (* -3/2 (/ (* a c) b))) |
(fma.f64 (/.f64 (*.f64 c a) b) #s(literal -3/2 binary64) b) |
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(* (sqrt (* a c)) (sqrt -3)) |
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) |
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(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))) |
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(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))) |
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(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
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(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
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(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
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(* (sqrt (* a c)) (sqrt -3)) |
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a))) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3))) |
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(fma.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a)))))) (/.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a)))) |
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b |
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(*.f64 (*.f64 c c) (*.f64 a a)) |
(* (pow a 2) (pow c 2)) |
(*.f64 (*.f64 c c) (*.f64 a a)) |
(* (pow a 2) (pow c 2)) |
(*.f64 (*.f64 c c) (*.f64 a a)) |
(* (pow a 2) (pow c 2)) |
(*.f64 (*.f64 c c) (*.f64 a a)) |
(* (pow a 2) (pow c 2)) |
(*.f64 (*.f64 c c) (*.f64 a a)) |
(* (pow a 2) (pow c 2)) |
(*.f64 (*.f64 c c) (*.f64 a a)) |
(* (pow a 2) (pow c 2)) |
(*.f64 (*.f64 c c) (*.f64 a a)) |
(* (pow a 2) (pow c 2)) |
(*.f64 (*.f64 c c) (*.f64 a a)) |
(* -27/16 (/ (* (pow a 3) c) (pow b 5))) |
(/.f64 (*.f64 (*.f64 c (*.f64 a (*.f64 a a))) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64))) |
(* -27/16 (/ (* (pow a 3) c) (pow b 5))) |
(/.f64 (*.f64 (*.f64 c (*.f64 a (*.f64 a a))) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64))) |
(* -27/16 (/ (* (pow a 3) c) (pow b 5))) |
(/.f64 (*.f64 (*.f64 c (*.f64 a (*.f64 a a))) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64))) |
(* -27/16 (/ (* (pow a 3) c) (pow b 5))) |
(/.f64 (*.f64 (*.f64 c (*.f64 a (*.f64 a a))) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64))) |
(* -27/16 (/ (* (pow a 3) c) (pow b 5))) |
(/.f64 (*.f64 (*.f64 c (*.f64 a (*.f64 a a))) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64))) |
(* -27/16 (/ (* (pow a 3) c) (pow b 5))) |
(/.f64 (*.f64 (*.f64 c (*.f64 a (*.f64 a a))) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64))) |
(* -27/16 (/ (* (pow a 3) c) (pow b 5))) |
(/.f64 (*.f64 (*.f64 c (*.f64 a (*.f64 a a))) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64))) |
(* -27/16 (/ (* (pow a 3) c) (pow b 5))) |
(/.f64 (*.f64 (*.f64 c (*.f64 a (*.f64 a a))) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64))) |
(* -27/16 (/ (* (pow a 3) c) (pow b 5))) |
(/.f64 (*.f64 (*.f64 c (*.f64 a (*.f64 a a))) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64))) |
(* -27/16 (/ (* (pow a 3) c) (pow b 5))) |
(/.f64 (*.f64 (*.f64 c (*.f64 a (*.f64 a a))) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64))) |
(* -27/16 (/ (* (pow a 3) c) (pow b 5))) |
(/.f64 (*.f64 (*.f64 c (*.f64 a (*.f64 a a))) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64))) |
(* -27/16 (/ (* (pow a 3) c) (pow b 5))) |
(/.f64 (*.f64 (*.f64 c (*.f64 a (*.f64 a a))) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64))) |
(* -27/16 (/ (* (pow a 3) c) (pow b 5))) |
(/.f64 (*.f64 (*.f64 c (*.f64 a (*.f64 a a))) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64))) |
(* -27/16 (/ (* (pow a 3) c) (pow b 5))) |
(/.f64 (*.f64 (*.f64 c (*.f64 a (*.f64 a a))) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64))) |
(* -27/16 (/ (* (pow a 3) c) (pow b 5))) |
(/.f64 (*.f64 (*.f64 c (*.f64 a (*.f64 a a))) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64))) |
(* -27/16 (/ (* (pow a 3) c) (pow b 5))) |
(/.f64 (*.f64 (*.f64 c (*.f64 a (*.f64 a a))) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64))) |
(* -27/16 (/ (* (pow a 3) c) (pow b 5))) |
(/.f64 (*.f64 (*.f64 c (*.f64 a (*.f64 a a))) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64))) |
(* -27/16 (/ (* (pow a 3) c) (pow b 5))) |
(/.f64 (*.f64 (*.f64 c (*.f64 a (*.f64 a a))) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64))) |
(* -27/16 (/ (* (pow a 3) c) (pow b 5))) |
(/.f64 (*.f64 (*.f64 c (*.f64 a (*.f64 a a))) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64))) |
(* -27/16 (/ (* (pow a 3) c) (pow b 5))) |
(/.f64 (*.f64 (*.f64 c (*.f64 a (*.f64 a a))) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64))) |
(* -27/16 (/ (* (pow a 3) c) (pow b 5))) |
(/.f64 (*.f64 (*.f64 c (*.f64 a (*.f64 a a))) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64))) |
(* -27/16 (/ (* (pow a 3) c) (pow b 5))) |
(/.f64 (*.f64 (*.f64 c (*.f64 a (*.f64 a a))) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64))) |
(* -27/16 (/ (* (pow a 3) c) (pow b 5))) |
(/.f64 (*.f64 (*.f64 c (*.f64 a (*.f64 a a))) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64))) |
(* -27/16 (/ (* (pow a 3) c) (pow b 5))) |
(/.f64 (*.f64 (*.f64 c (*.f64 a (*.f64 a a))) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64))) |
(* -27/16 (/ (* (pow a 3) c) (pow b 5))) |
(/.f64 (*.f64 (*.f64 c (*.f64 a (*.f64 a a))) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64))) |
(* -27/16 (/ (* (pow a 3) c) (pow b 5))) |
(/.f64 (*.f64 (*.f64 c (*.f64 a (*.f64 a a))) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64))) |
(* -27/16 (/ (* (pow a 3) c) (pow b 5))) |
(/.f64 (*.f64 (*.f64 c (*.f64 a (*.f64 a a))) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64))) |
(* -27/16 (/ (* (pow a 3) c) (pow b 5))) |
(/.f64 (*.f64 (*.f64 c (*.f64 a (*.f64 a a))) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64))) |
(* -27/16 (/ (* (pow a 3) c) (pow b 5))) |
(/.f64 (*.f64 (*.f64 c (*.f64 a (*.f64 a a))) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64))) |
(* -27/16 (/ (* (pow a 3) c) (pow b 5))) |
(/.f64 (*.f64 (*.f64 c (*.f64 a (*.f64 a a))) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64))) |
(* -27/16 (/ (* (pow a 3) c) (pow b 5))) |
(/.f64 (*.f64 (*.f64 c (*.f64 a (*.f64 a a))) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64))) |
(* -27/16 (/ (* (pow a 3) c) (pow b 5))) |
(/.f64 (*.f64 (*.f64 c (*.f64 a (*.f64 a a))) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64))) |
(* -27/16 (/ (* (pow a 3) c) (pow b 5))) |
(/.f64 (*.f64 (*.f64 c (*.f64 a (*.f64 a a))) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64))) |
(* -27/16 (/ (* (pow a 3) c) (pow b 5))) |
(/.f64 (*.f64 (*.f64 c (*.f64 a (*.f64 a a))) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64))) |
(* -27/16 (/ (* (pow a 3) c) (pow b 5))) |
(/.f64 (*.f64 (*.f64 c (*.f64 a (*.f64 a a))) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64))) |
(* -27/16 (/ (* (pow a 3) c) (pow b 5))) |
(/.f64 (*.f64 (*.f64 c (*.f64 a (*.f64 a a))) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64))) |
| 5 134× | lower-*.f32 |
| 5 084× | lower-*.f64 |
| 4 950× | lower-fma.f32 |
| 4 934× | lower-fma.f64 |
| 3 406× | lower-pow.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 84 | 572 |
| 0 | 149 | 524 |
| 1 | 555 | 504 |
| 2 | 4201 | 504 |
| 0 | 8794 | 504 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(pow.f64 b #s(literal 4 binary64)) |
(fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (*.f64 a (pow.f64 b #s(literal 6 binary64))))) (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (*.f64 a (pow.f64 b #s(literal 6 binary64))))) (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64)))) |
(fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
(/.f64 c b) |
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) |
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) |
(-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) |
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) |
(+.f64 (neg.f64 b) (sqrt.f64 (/.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (/.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a)) |
(neg.f64 b) |
(sqrt.f64 (/.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b)))) |
(fma.f64 #s(literal -9/8 binary64) (*.f64 a (/.f64 a (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) (pow.f64 b #s(literal 5 binary64)))) |
(fma.f64 c (fma.f64 #s(literal -9/8 binary64) (*.f64 a (/.f64 a (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 c (fma.f64 #s(literal -9/8 binary64) (*.f64 a (/.f64 a (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 c (fma.f64 #s(literal -9/8 binary64) (*.f64 a (/.f64 a (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (*.f64 a (pow.f64 b #s(literal 6 binary64))))) (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))))) b)) |
(/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 4 binary64))) |
(*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (*.f64 a (pow.f64 b #s(literal 6 binary64))))) |
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) |
(fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) |
(/.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) |
(*.f64 a (*.f64 c (*.f64 a c))) |
(/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27/16 binary64)) c) (pow.f64 b #s(literal 5 binary64))) |
| Outputs |
|---|
(exp.f64 (*.f64 #s(literal 4 binary64) (log.f64 b))) |
(exp.f64 (*.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) |
(neg.f64 (*.f64 b (*.f64 b (*.f64 b b)))) |
(pow.f64 b #s(literal 4 binary64)) |
(pow.f64 (*.f64 b b) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 b) #s(literal 4 binary64)) |
(pow.f64 (*.f64 b (neg.f64 b)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 b)) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(*.f64 (*.f64 b b) (*.f64 b b)) |
(*.f64 (*.f64 b b) (*.f64 b (neg.f64 b))) |
(*.f64 (neg.f64 b) (*.f64 b (*.f64 b b))) |
(*.f64 (*.f64 b (*.f64 b b)) b) |
(*.f64 (*.f64 b (*.f64 b b)) (neg.f64 b)) |
(*.f64 (*.f64 b (neg.f64 b)) (*.f64 b b)) |
(*.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) |
(*.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) |
(*.f64 (pow.f64 (*.f64 (neg.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 b b)) |
(+.f64 (fma.f64 (*.f64 c (*.f64 a c)) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) a))))) |
(+.f64 (fma.f64 a (/.f64 (*.f64 c (*.f64 c #s(literal -3/8 binary64))) (*.f64 b b)) (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) a))))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 b (*.f64 b (*.f64 b b))))) |
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) a))) (+.f64 (fma.f64 (*.f64 c (*.f64 a c)) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 b (*.f64 b (*.f64 b b)))))) |
(+.f64 (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 a (/.f64 (*.f64 c (*.f64 c #s(literal -3/8 binary64))) (*.f64 b b)) (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) a)))))) |
(+.f64 (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) a)))) (fma.f64 (*.f64 c (*.f64 a c)) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64)))) |
(+.f64 (fma.f64 a (/.f64 (*.f64 c (*.f64 c #s(literal -3/8 binary64))) (*.f64 b b)) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) a)))) (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 b (*.f64 b (*.f64 b b)))))) |
(+.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 (*.f64 c (*.f64 a c)) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) a)))) |
(+.f64 (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 a (/.f64 (*.f64 c (*.f64 c #s(literal -3/8 binary64))) (*.f64 b b)) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) a))))) (*.f64 c #s(literal -1/2 binary64))) |
(+.f64 (+.f64 (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) a)))) (*.f64 c #s(literal -1/2 binary64))) (*.f64 (*.f64 c (*.f64 a c)) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)))) |
(+.f64 (+.f64 (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) a)))) (*.f64 (*.f64 c (*.f64 a c)) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)))) (*.f64 c #s(literal -1/2 binary64))) |
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(/.f64 (*.f64 (*.f64 c (*.f64 a (*.f64 (*.f64 a a) #s(literal -27/16 binary64)))) #s(literal 1 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 c (*.f64 a (*.f64 (*.f64 a a) #s(literal -27/16 binary64)))))) (neg.f64 (neg.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))) |
(/.f64 (/.f64 (*.f64 c (*.f64 a (*.f64 (*.f64 a a) #s(literal -27/16 binary64)))) (pow.f64 b #s(literal 5/2 binary64))) (pow.f64 b #s(literal 5/2 binary64))) |
(pow.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (*.f64 c (*.f64 a (*.f64 (*.f64 a a) #s(literal -27/16 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (*.f64 c (*.f64 a (*.f64 (*.f64 a a) #s(literal -27/16 binary64))))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 a (*.f64 (*.f64 (*.f64 a a) #s(literal -27/16 binary64)) (/.f64 c (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))) |
(*.f64 c (*.f64 (*.f64 a (*.f64 (*.f64 a a) #s(literal -27/16 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))) |
(*.f64 c (/.f64 (*.f64 a (*.f64 (*.f64 a a) #s(literal -27/16 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) |
(*.f64 (*.f64 a (*.f64 a a)) (*.f64 #s(literal -27/16 binary64) (/.f64 c (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))) |
(*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c #s(literal -27/16 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))) |
(*.f64 (*.f64 a (*.f64 a a)) (/.f64 (*.f64 c #s(literal -27/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) |
(*.f64 #s(literal -27/16 binary64) (*.f64 (*.f64 a (*.f64 a a)) (/.f64 c (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))) |
(*.f64 (*.f64 a (*.f64 (*.f64 a a) #s(literal -27/16 binary64))) (/.f64 c (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) |
(*.f64 (*.f64 c (*.f64 a (*.f64 (*.f64 a a) #s(literal -27/16 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) |
(*.f64 (neg.f64 (*.f64 c (*.f64 a (*.f64 (*.f64 a a) #s(literal -27/16 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 (*.f64 a a) #s(literal -27/16 binary64)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 c (*.f64 a (*.f64 (*.f64 a a) #s(literal -27/16 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 (*.f64 a a) #s(literal -27/16 binary64))))) #s(literal -1 binary64))) |
(*.f64 (/.f64 c (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a (*.f64 (*.f64 a a) #s(literal -27/16 binary64)))) |
(*.f64 (/.f64 c (pow.f64 b #s(literal 5/2 binary64))) (/.f64 (*.f64 a (*.f64 (*.f64 a a) #s(literal -27/16 binary64))) (pow.f64 b #s(literal 5/2 binary64)))) |
(*.f64 (/.f64 (*.f64 a (*.f64 (*.f64 a a) #s(literal -27/16 binary64))) (pow.f64 b #s(literal 5/2 binary64))) (/.f64 c (pow.f64 b #s(literal 5/2 binary64)))) |
(*.f64 (/.f64 (*.f64 a (*.f64 a a)) (pow.f64 b #s(literal 5/2 binary64))) (/.f64 (*.f64 c #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5/2 binary64)))) |
(*.f64 (pow.f64 b #s(literal -5/2 binary64)) (pow.f64 (/.f64 (pow.f64 b #s(literal 5/2 binary64)) (*.f64 c (*.f64 a (*.f64 (*.f64 a a) #s(literal -27/16 binary64))))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (pow.f64 b #s(literal 5/2 binary64)) c) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 b #s(literal 5/2 binary64)) (*.f64 a (*.f64 (*.f64 a a) #s(literal -27/16 binary64)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (pow.f64 b #s(literal 5/2 binary64)) (*.f64 a (*.f64 (*.f64 a a) #s(literal -27/16 binary64)))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 b #s(literal 5/2 binary64)) c) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (pow.f64 b #s(literal 5/2 binary64)) (*.f64 a (*.f64 a a))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 b #s(literal 5/2 binary64)) (*.f64 c #s(literal -27/16 binary64))) #s(literal -1 binary64))) |
Compiled 71 256 to 4 421 computations (93.8% saved)
78 alts after pruning (76 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 542 | 71 | 1 613 |
| Fresh | 22 | 5 | 27 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 567 | 78 | 1 645 |
| Status | Accuracy | Program |
|---|---|---|
| 56.1% | (/.f64 (fma.f64 (sqrt.f64 (fma.f64 a (*.f64 (*.f64 c (*.f64 a c)) #s(literal -9 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 #s(literal 3 binary64) (*.f64 a c))))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) | |
| 55.9% | (/.f64 (fma.f64 b (/.f64 #s(literal 1 binary64) a) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) a))) #s(literal -3 binary64)) | |
| 57.7% | (/.f64 (/.f64 (/.f64 (fma.f64 b (*.f64 b b) (*.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))))) (fma.f64 b b (-.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))))) (*.f64 b (neg.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))))))) a) #s(literal -3 binary64)) | |
| 57.3% | (/.f64 (/.f64 (/.f64 (-.f64 (*.f64 b b) (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) (+.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))))) a) #s(literal -3 binary64)) | |
| 57.3% | (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) (-.f64 (*.f64 b b) (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))))) a) #s(literal -3 binary64)) | |
| 56.6% | (/.f64 (/.f64 (-.f64 (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) (*.f64 a (*.f64 a a)))) (fma.f64 (/.f64 b a) (/.f64 b a) (fma.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) a) (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) a) (*.f64 (/.f64 b a) (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) a))))) #s(literal -3 binary64)) | |
| ▶ | 55.2% | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b (*.f64 b b)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) |
| 54.8% | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) b) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| ▶ | 57.3% | (/.f64 (/.f64 (-.f64 (*.f64 b b) (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))))) #s(literal -3 binary64)) |
| 55.3% | (/.f64 (/.f64 (-.f64 (*.f64 b a) (*.f64 a (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))))) (*.f64 a a)) #s(literal -3 binary64)) | |
| ✓ | 55.9% | (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) |
| ▶ | 56.0% | (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal -3 binary64)) a) |
| 56.1% | (/.f64 (/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* a (* -3 c)) (* b b)) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) a) #s(literal -3 binary64)) | |
| 57.3% | (/.f64 (/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) (/.f64 #s(literal 1 binary64) a)) (+.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))))) #s(literal -3 binary64)) | |
| 81.7% | (/.f64 (/.f64 #s(approx (- b (sqrt (+ (* a (* -3 c)) (* b b)))) (/.f64 (fma.f64 #s(literal 9/8 binary64) (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (*.f64 b b)) (*.f64 (*.f64 c a) #s(literal 3/2 binary64))) b)) a) #s(literal -3 binary64)) | |
| 81.6% | (/.f64 (/.f64 #s(approx (- b (sqrt (+ (* a (* -3 c)) (* b b)))) (*.f64 c (fma.f64 #s(literal 9/8 binary64) (/.f64 (*.f64 c (*.f64 a a)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 a #s(literal 3/2 binary64)) b)))) a) #s(literal -3 binary64)) | |
| 81.8% | (/.f64 (/.f64 #s(approx (- b (sqrt (+ (* a (* -3 c)) (* b b)))) (*.f64 a (fma.f64 c (/.f64 #s(literal 3/2 binary64) b) (/.f64 (*.f64 #s(literal 9/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b (*.f64 b b)))))) a) #s(literal -3 binary64)) | |
| 87.6% | (/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 c (fma.f64 a (*.f64 (/.f64 a (*.f64 b (*.f64 b b))) #s(literal -9/8 binary64)) (/.f64 (*.f64 c (*.f64 a (*.f64 (*.f64 a a) #s(literal -27/16 binary64)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) a) #s(literal 3 binary64)) | |
| 56.6% | (/.f64 (-.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) (*.f64 #s(literal 3 binary64) a)) | |
| 55.4% | (/.f64 (-.f64 (/.f64 b a) (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) a)) #s(literal -3 binary64)) | |
| 56.6% | (/.f64 (-.f64 (*.f64 b (*.f64 b b)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))))) (*.f64 (*.f64 a #s(literal -3 binary64)) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))))) | |
| 57.3% | (/.f64 (-.f64 (*.f64 b b) (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 (*.f64 a #s(literal -3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))))) | |
| 56.0% | (/.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) | |
| 56.1% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a)) | |
| 56.6% | (/.f64 (*.f64 (pow.f64 (/.f64 a (-.f64 (*.f64 b (*.f64 b b)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))))) #s(literal -3 binary64)) | |
| 57.3% | (/.f64 (*.f64 (pow.f64 (/.f64 a (-.f64 (*.f64 b b) (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))))) #s(literal -3 binary64)) | |
| 57.4% | (/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))))) | |
| 56.0% | (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) b) #s(literal 1/3 binary64)) a) | |
| 87.6% | (/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 c (fma.f64 a (*.f64 (/.f64 a (*.f64 b (*.f64 b b))) #s(literal -9/8 binary64)) (/.f64 (*.f64 c (*.f64 a (*.f64 (*.f64 a a) #s(literal -27/16 binary64)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) #s(literal 1/3 binary64)) a) | |
| 55.9% | (/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))))) #s(literal -1 binary64))) #s(literal -3 binary64)) | |
| 90.8% | (/.f64 #s(approx (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (fma.f64 a (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) (/.f64 (*.f64 #s(literal 27/16 binary64) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal 9/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 c #s(literal 3/2 binary64)) b))) #s(literal -3 binary64)) | |
| 81.8% | (/.f64 #s(approx (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (/.f64 (fma.f64 c #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal 9/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b)) #s(literal -3 binary64)) | |
| 64.0% | (/.f64 #s(approx (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (/.f64 (*.f64 c #s(literal 3/2 binary64)) b)) #s(literal -3 binary64)) | |
| 81.8% | (/.f64 #s(approx (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b (*.f64 b b)))) #s(literal 9/8 binary64) (/.f64 #s(literal 3/2 binary64) b)))) #s(literal -3 binary64)) | |
| 90.8% | (/.f64 #s(approx (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 c (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) (*.f64 b a)) (/.f64 (*.f64 #s(literal 27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal 9/8 binary64) a) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 3/2 binary64) b)))) #s(literal -3 binary64)) | |
| 64.0% | (/.f64 #s(approx (+ (neg b) (sqrt (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a)) | |
| 81.7% | (/.f64 #s(approx (+ (neg b) (sqrt (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))))) (*.f64 c (fma.f64 #s(literal -3/2 binary64) (/.f64 a b) (/.f64 (*.f64 (*.f64 c (*.f64 a a)) #s(literal -9/8 binary64)) (*.f64 b (*.f64 b b)))))) (*.f64 #s(literal 3 binary64) a)) | |
| 81.7% | (/.f64 #s(approx (+ (neg b) (sqrt (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))))) (*.f64 a (fma.f64 (/.f64 c b) #s(literal -3/2 binary64) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b (*.f64 b b)))))) (*.f64 #s(literal 3 binary64) a)) | |
| 64.0% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 87.8% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 a #s(literal -3/2 binary64)) (*.f64 c (fma.f64 a (*.f64 (/.f64 a (*.f64 b (*.f64 b b))) #s(literal -9/8 binary64)) (/.f64 (*.f64 c (*.f64 a (*.f64 (*.f64 a a) #s(literal -27/16 binary64)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))))) (*.f64 #s(literal 3 binary64) a)) | |
| 87.7% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 (/.f64 #s(literal -3/2 binary64) b) a (*.f64 c (fma.f64 a (*.f64 (/.f64 a (*.f64 b (*.f64 b b))) #s(literal -9/8 binary64)) (/.f64 (*.f64 c (*.f64 a (*.f64 (*.f64 a a) #s(literal -27/16 binary64)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))))) (*.f64 #s(literal 3 binary64) a)) | |
| 87.8% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) (*.f64 #s(literal 3 binary64) a)) | |
| 87.7% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 #s(literal -3/2 binary64) (/.f64 a b) (*.f64 c (fma.f64 a (*.f64 (/.f64 a (*.f64 b (*.f64 b b))) #s(literal -9/8 binary64)) (/.f64 (*.f64 c (*.f64 a (*.f64 (*.f64 a a) #s(literal -27/16 binary64)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))))) (*.f64 #s(literal 3 binary64) a)) | |
| 81.8% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c #s(approx (+ (* c (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5)))) (/ (* a -3/2) b)) (/.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 c (*.f64 a a)) (*.f64 b b)) (*.f64 a #s(literal -3/2 binary64))) b)))) (*.f64 #s(literal 3 binary64) a)) | |
| 64.0% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c #s(approx (+ (* c (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5)))) (/ (* a -3/2) b)) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) (*.f64 #s(literal 3 binary64) a)) | |
| 81.7% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c #s(approx (+ (* c (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5)))) (/ (* a -3/2) b)) (*.f64 a (fma.f64 (*.f64 a (/.f64 c (*.f64 b (*.f64 b b)))) #s(literal -9/8 binary64) (/.f64 #s(literal -3/2 binary64) b)))))) (*.f64 #s(literal 3 binary64) a)) | |
| 55.9% | (/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) b) #s(literal 1/3 binary64)))) | |
| 87.6% | (/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 c (fma.f64 a (*.f64 (/.f64 a (*.f64 b (*.f64 b b))) #s(literal -9/8 binary64)) (/.f64 (*.f64 c (*.f64 a (*.f64 (*.f64 a a) #s(literal -27/16 binary64)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) #s(literal 1/3 binary64)))) | |
| 56.0% | (/.f64 #s(literal -1/3 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))))) | |
| 55.3% | (-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) (/.f64 b (*.f64 #s(literal 3 binary64) a))) | |
| 57.3% | (*.f64 (pow.f64 (/.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (*.f64 b b) (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))))) | |
| 56.0% | (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) b) a) #s(literal 1/3 binary64)) | |
| 55.9% | (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) b) #s(literal 1/3 binary64))) | |
| 56.0% | (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) b)) | |
| 87.5% | (*.f64 (/.f64 #s(literal 1/3 binary64) a) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 c (fma.f64 a (*.f64 (/.f64 a (*.f64 b (*.f64 b b))) #s(literal -9/8 binary64)) (/.f64 (*.f64 c (*.f64 a (*.f64 (*.f64 a a) #s(literal -27/16 binary64)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b))))) | |
| 56.0% | (*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -3 binary64))) | |
| 56.0% | (*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))) | |
| 87.6% | (*.f64 (neg.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 c (fma.f64 a (*.f64 (/.f64 a (*.f64 b (*.f64 b b))) #s(literal -9/8 binary64)) (/.f64 (*.f64 c (*.f64 a (*.f64 (*.f64 a a) #s(literal -27/16 binary64)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b))))) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))) | |
| 87.9% | #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (fma.f64 a (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b))) | |
| 81.9% | #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (fma.f64 #s(literal -1/2 binary64) (/.f64 c b) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b (*.f64 b b))))) | |
| 81.9% | #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 #s(literal -1/2 binary64) c)) b)) | |
| 90.9% | #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 c (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) (*.f64 b a)) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 b (*.f64 b b))))) (/.f64 #s(literal -1/2 binary64) b)))) | |
| 81.8% | #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1/2 binary64) b)))) | |
| 90.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (fma.f64 (*.f64 c (*.f64 c c)) #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a)))) #s(literal -27/512 binary64)) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -1/2 binary64)) (-.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 (*.f64 c (*.f64 a c)) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 c #s(literal -3/8 binary64))) (*.f64 (*.f64 a c) (*.f64 c #s(literal -3/8 binary64)))) (*.f64 b (*.f64 b (*.f64 b b)))))) (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) a))))) b)) | |
| 91.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal -9/16 binary64) (fma.f64 a (/.f64 (*.f64 c (*.f64 c #s(literal -3/8 binary64))) (*.f64 b b)) (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) a)))))) b)) | |
| 90.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 4 binary64))) #s(approx (+ (* -1/6 (* (* (pow a 4) (pow c 4)) (/ 405/64 (* a (pow b 6))))) (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2))) (*.f64 c (fma.f64 c (fma.f64 #s(literal -135/128 binary64) (/.f64 (*.f64 (*.f64 c c) (*.f64 a (*.f64 a a))) (pow.f64 b #s(literal 6 binary64))) (/.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 b b))) #s(literal -1/2 binary64))))) b)) | |
| 87.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 4 binary64))) #s(approx (+ (* -1/6 (* (* (pow a 4) (pow c 4)) (/ 405/64 (* a (pow b 6))))) (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64))))) b)) | |
| ▶ | 91.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (+.f64 (fma.f64 (*.f64 c (*.f64 a c)) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) a))))) b)) |
| 91.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (+.f64 (fma.f64 a (/.f64 (*.f64 c (*.f64 c #s(literal -3/8 binary64))) (*.f64 b b)) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) a)))) (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 b (*.f64 b (*.f64 b b)))))) b)) | |
| 90.3% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* -9/16 (/ (* a (* a (* c (* c c)))) (pow b 4))) (+ (* -1/6 (* (* (pow a 4) (pow c 4)) (/ 405/64 (* a (pow b 6))))) (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)))) (/.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 b b)) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 4 binary64)))) (pow.f64 b #s(literal 6 binary64)))) b)) | |
| 90.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* -9/16 (/ (* a (* a (* c (* c c)))) (pow b 4))) (+ (* -1/6 (* (* (pow a 4) (pow c 4)) (/ 405/64 (* a (pow b 6))))) (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)))) (*.f64 (pow.f64 c #s(literal 4 binary64)) (fma.f64 #s(literal -135/128 binary64) (/.f64 (*.f64 a (*.f64 a a)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a a) (*.f64 (pow.f64 b #s(literal 4 binary64)) c)) (fma.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 (*.f64 c c) (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 c c)))))))) b)) | |
| 90.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* -9/16 (/ (* a (* a (* c (* c c)))) (pow b 4))) (+ (* -1/6 (* (* (pow a 4) (pow c 4)) (/ 405/64 (* a (pow b 6))))) (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)))) (*.f64 (*.f64 a (*.f64 a a)) (fma.f64 #s(literal -135/128 binary64) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 a a))) (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 a (*.f64 a a))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 c (*.f64 c c))) (*.f64 (pow.f64 b #s(literal 4 binary64)) a))))))) b)) | |
| 90.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* -9/16 (/ (* a (* a (* c (* c c)))) (pow b 4))) (+ (* -1/6 (* (* (pow a 4) (pow c 4)) (/ 405/64 (* a (pow b 6))))) (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)))) (*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 c (*.f64 a (*.f64 a a)))) (pow.f64 b #s(literal 6 binary64)))) (/.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 b b))) #s(literal -1/2 binary64)))) b)) | |
| 87.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* -9/16 (/ (* a (* a (* c (* c c)))) (pow b 4))) (+ (* -1/6 (* (* (pow a 4) (pow c 4)) (/ 405/64 (* a (pow b 6))))) (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)))) (*.f64 c (fma.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 b b)) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 c (*.f64 a a))) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1/2 binary64)))) b)) | |
| 81.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* -9/16 (/ (* a (* a (* c (* c c)))) (pow b 4))) (+ (* -1/6 (* (* (pow a 4) (pow c 4)) (/ 405/64 (* a (pow b 6))))) (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)))) b)) | |
| 64.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) | |
| ▶ | 64.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
| ✓ | 64.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
Compiled 5 509 to 2 827 computations (48.7% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)) | |
| cost-diff | 0 | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b (*.f64 b b)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) | |
| cost-diff | 640 | (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b (*.f64 b b)))) | |
| cost-diff | 3264 | (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b (*.f64 b b)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b b))) | |
| cost-diff | 0 | (*.f64 b b) | |
| cost-diff | 0 | (/.f64 (-.f64 (*.f64 b b) (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))))) | |
| cost-diff | 384 | (/.f64 (/.f64 (-.f64 (*.f64 b b) (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))))) #s(literal -3 binary64)) | |
| cost-diff | 896 | (-.f64 (*.f64 b b) (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) | |
| cost-diff | 0 | (-.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) | |
| cost-diff | 0 | (/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal -3 binary64)) | |
| cost-diff | 384 | (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal -3 binary64)) a) | |
| cost-diff | 0 | (/.f64 #s(literal -1/2 binary64) b) | |
| cost-diff | 0 | (*.f64 c (/.f64 #s(literal -1/2 binary64) b)) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) | |
| cost-diff | 128 | (+.f64 (fma.f64 (*.f64 c (*.f64 a c)) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) a))))) | |
| cost-diff | 320 | (*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) #s(literal -1/6 binary64)) | |
| cost-diff | 320 | (fma.f64 (*.f64 c (*.f64 a c)) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) | |
| cost-diff | 640 | (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) a))) |
| 9 928× | lower-fma.f32 |
| 9 918× | lower-fma.f64 |
| 5 850× | lower-*.f32 |
| 5 798× | lower-*.f64 |
| 3 016× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 71 | 986 |
| 0 | 126 | 870 |
| 1 | 273 | 760 |
| 2 | 955 | 711 |
| 3 | 4329 | 703 |
| 4 | 6250 | 693 |
| 0 | 8559 | 686 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (+.f64 (fma.f64 (*.f64 c (*.f64 a c)) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) a))))) b)) |
(/.f64 (+.f64 (fma.f64 (*.f64 c (*.f64 a c)) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) a))))) b) |
(+.f64 (fma.f64 (*.f64 c (*.f64 a c)) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) a))))) |
(fma.f64 (*.f64 c (*.f64 a c)) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) |
(*.f64 c (*.f64 a c)) |
c |
(*.f64 a c) |
a |
(/.f64 #s(literal -3/8 binary64) (*.f64 b b)) |
#s(literal -3/8 binary64) |
(*.f64 b b) |
b |
(*.f64 c #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) a)))) |
#s(literal -9/16 binary64) |
(/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 b (*.f64 b (*.f64 b b)))) |
(*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) |
(*.f64 a (*.f64 c (*.f64 c c))) |
(*.f64 c (*.f64 c c)) |
(*.f64 c c) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(*.f64 b (*.f64 b b)) |
(/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) a))) |
(*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) #s(literal -1/6 binary64)) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) |
(*.f64 a (*.f64 a (*.f64 a a))) |
(*.f64 a (*.f64 a a)) |
(*.f64 a a) |
(*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64)) |
(*.f64 c (*.f64 c (*.f64 c c))) |
#s(literal 405/64 binary64) |
#s(literal -1/6 binary64) |
(*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) a)) |
(*.f64 (*.f64 b (*.f64 b b)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
(*.f64 c (/.f64 #s(literal -1/2 binary64) b)) |
c |
(/.f64 #s(literal -1/2 binary64) b) |
#s(literal -1/2 binary64) |
b |
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal -3 binary64)) a) |
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal -3 binary64)) |
(-.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) |
b |
(sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) |
(fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)) |
#s(literal -3 binary64) |
(*.f64 a c) |
a |
c |
(*.f64 b b) |
(/.f64 (/.f64 (-.f64 (*.f64 b b) (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))))) #s(literal -3 binary64)) |
(/.f64 (-.f64 (*.f64 b b) (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))))) |
(-.f64 (*.f64 b b) (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) |
(*.f64 b b) |
b |
(fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)) |
#s(literal -3 binary64) |
(*.f64 a c) |
a |
c |
(*.f64 a (+.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))))) |
(+.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) |
(sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) |
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b (*.f64 b b)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b (*.f64 b b)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b b))) |
(-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b (*.f64 b b)))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)) |
(sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) |
(fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b)))) |
#s(literal -9 binary64) |
(*.f64 a (*.f64 c (*.f64 a c))) |
a |
(*.f64 c (*.f64 a c)) |
c |
(*.f64 a c) |
(*.f64 b (*.f64 b (*.f64 b b))) |
b |
(*.f64 b (*.f64 b b)) |
(*.f64 b b) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b (*.f64 b b))) |
(sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) |
(fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b)) |
#s(literal 3 binary64) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b b)) |
(*.f64 #s(literal 3 binary64) a) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (+.f64 (fma.f64 (*.f64 c (*.f64 a c)) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) a))))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 a (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 c (fma.f64 a (*.f64 c (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) #s(literal -1/2 binary64)) (/.f64 (*.f64 a (*.f64 a (*.f64 a (*.f64 c (*.f64 (*.f64 c (*.f64 c c)) #s(literal -135/128 binary64)))))) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))))) b)) |
(/.f64 (+.f64 (fma.f64 (*.f64 c (*.f64 a c)) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) a))))) b) |
(/.f64 (fma.f64 a (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 c (fma.f64 a (*.f64 c (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) #s(literal -1/2 binary64)) (/.f64 (*.f64 a (*.f64 a (*.f64 a (*.f64 c (*.f64 (*.f64 c (*.f64 c c)) #s(literal -135/128 binary64)))))) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))))) b) |
(+.f64 (fma.f64 (*.f64 c (*.f64 a c)) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) a))))) |
(fma.f64 a (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 c (fma.f64 a (*.f64 c (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) #s(literal -1/2 binary64)) (/.f64 (*.f64 a (*.f64 a (*.f64 a (*.f64 c (*.f64 (*.f64 c (*.f64 c c)) #s(literal -135/128 binary64)))))) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))))) |
(fma.f64 (*.f64 c (*.f64 a c)) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) |
(*.f64 c (fma.f64 a (*.f64 c (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) #s(literal -1/2 binary64))) |
(*.f64 c (*.f64 a c)) |
c |
(*.f64 a c) |
a |
(/.f64 #s(literal -3/8 binary64) (*.f64 b b)) |
#s(literal -3/8 binary64) |
(*.f64 b b) |
b |
(*.f64 c #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) a)))) |
(fma.f64 a (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a (*.f64 a (*.f64 a (*.f64 c (*.f64 (*.f64 c (*.f64 c c)) #s(literal -135/128 binary64)))))) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))))) |
#s(literal -9/16 binary64) |
(/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 b (*.f64 b (*.f64 b b)))) |
(*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) |
(*.f64 a (*.f64 c (*.f64 c c))) |
(*.f64 c (*.f64 c c)) |
(*.f64 c c) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(*.f64 b (*.f64 b b)) |
(/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) a))) |
(/.f64 (*.f64 a (*.f64 a (*.f64 a (*.f64 c (*.f64 (*.f64 c (*.f64 c c)) #s(literal -135/128 binary64)))))) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))) |
(*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) #s(literal -1/6 binary64)) |
(*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 c (*.f64 (*.f64 c (*.f64 c c)) #s(literal -135/128 binary64)))))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) |
(*.f64 (*.f64 c (*.f64 c c)) (*.f64 c (*.f64 a (*.f64 (*.f64 a (*.f64 a a)) #s(literal 405/64 binary64))))) |
(*.f64 a (*.f64 a (*.f64 a a))) |
(*.f64 a (*.f64 a a)) |
(*.f64 a a) |
(*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64)) |
(*.f64 c (*.f64 c (*.f64 c c))) |
#s(literal 405/64 binary64) |
#s(literal -1/6 binary64) |
(*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) a)) |
(*.f64 b (*.f64 a (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))) |
(*.f64 (*.f64 b (*.f64 b b)) a) |
(*.f64 a (*.f64 b (*.f64 b b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)) |
(*.f64 c (/.f64 #s(literal -1/2 binary64) b)) |
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b) |
c |
(/.f64 #s(literal -1/2 binary64) b) |
#s(literal -1/2 binary64) |
b |
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal -3 binary64)) a) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -3 binary64)))) b) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal -3 binary64)) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -3 binary64)))) b) #s(literal 3 binary64)) |
(-.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) |
(-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -3 binary64))))) |
b |
(sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) |
(sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -3 binary64)))) |
(fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)) |
(fma.f64 b b (*.f64 (*.f64 a c) #s(literal -3 binary64))) |
#s(literal -3 binary64) |
(*.f64 a c) |
a |
c |
(*.f64 b b) |
(/.f64 (/.f64 (-.f64 (*.f64 b b) (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))))) #s(literal -3 binary64)) |
(/.f64 (*.f64 #s(literal 3 binary64) (*.f64 a c)) (*.f64 #s(literal -3 binary64) (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -3 binary64)))))))) |
(/.f64 (-.f64 (*.f64 b b) (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))))) |
(/.f64 (*.f64 #s(literal 3 binary64) (*.f64 a c)) (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -3 binary64))))))) |
(-.f64 (*.f64 b b) (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) |
(*.f64 #s(literal 3 binary64) (*.f64 a c)) |
(*.f64 b b) |
b |
(fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)) |
(fma.f64 b b (*.f64 (*.f64 a c) #s(literal -3 binary64))) |
#s(literal -3 binary64) |
(*.f64 a c) |
a |
c |
(*.f64 a (+.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))))) |
(*.f64 a (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -3 binary64)))))) |
(+.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) |
(+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -3 binary64))))) |
(sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) |
(sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -3 binary64)))) |
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b (*.f64 b b)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c)))))) (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b)))) b) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b (*.f64 b b)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b b))) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c)))))) (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b)))) b) |
(-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b (*.f64 b b)))) |
(*.f64 (*.f64 b b) (fma.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c)))))))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)) |
(*.f64 (*.f64 b b) (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))))))) |
(sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) |
(sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c)))))) |
(fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b)))) |
(fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))))) |
#s(literal -9 binary64) |
(*.f64 a (*.f64 c (*.f64 a c))) |
a |
(*.f64 c (*.f64 a c)) |
c |
(*.f64 a c) |
(*.f64 b (*.f64 b (*.f64 b b))) |
b |
(*.f64 b (*.f64 b b)) |
(*.f64 b b) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b (*.f64 b b))) |
(*.f64 (*.f64 b (*.f64 b b)) (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b)))) |
(sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) |
(fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b)) |
#s(literal 3 binary64) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b b)) |
(*.f64 (*.f64 b b) (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b)))) |
(*.f64 #s(literal 3 binary64) a) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.3756637695368841 | (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b (*.f64 b b)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b b))) | |
| accuracy | 0.379570019536884 | (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b (*.f64 b b))) | |
| accuracy | 0.38671875 | (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)) | |
| accuracy | 28.173807126468947 | (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b (*.f64 b b)))) | |
| accuracy | 0.26171875 | (+.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) | |
| accuracy | 0.265625 | (/.f64 (/.f64 (-.f64 (*.f64 b b) (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))))) #s(literal -3 binary64)) | |
| accuracy | 0.40462875976844204 | (/.f64 (-.f64 (*.f64 b b) (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))))) | |
| accuracy | 27.513045084245032 | (-.f64 (*.f64 b b) (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) | |
| accuracy | 0.2421875 | (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)) | |
| accuracy | 0.25390625 | (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal -3 binary64)) a) | |
| accuracy | 0.25390625 | (/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal -3 binary64)) | |
| accuracy | 28.052966832663916 | (-.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) | |
| accuracy | 0 | (/.f64 #s(literal -1/2 binary64) b) | |
| accuracy | 0.27734375 | (*.f64 c (/.f64 #s(literal -1/2 binary64) b)) | |
| accuracy | 22.98538953303501 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) | |
| accuracy | 0.3561325195368841 | (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) a))) | |
| accuracy | 0.3671875 | (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 b (*.f64 b (*.f64 b b)))) | |
| accuracy | 0.41015625 | (*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) #s(literal -1/6 binary64)) | |
| accuracy | 5.5722343687353995 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (+.f64 (fma.f64 (*.f64 c (*.f64 a c)) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) a))))) b)) |
| 85.0ms | 174× | 0 | valid |
| 85.0ms | 82× | 1 | valid |
Compiled 947 to 74 computations (92.2% saved)
ival-mult: 65.0ms (50.2% of total)ival-div: 22.0ms (17% of total)ival-add: 11.0ms (8.5% of total)adjust: 10.0ms (7.7% of total)ival-sqrt: 9.0ms (7% of total)ival-sub: 6.0ms (4.6% of total)const: 4.0ms (3.1% of total)exact: 1.0ms (0.8% of total)ival-neg: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) a))) (patch (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) a))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 c (*.f64 a c)) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (patch (fma.f64 (*.f64 c (*.f64 a c)) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) #s(literal -1/6 binary64)) (patch (*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) #s(literal -1/6 binary64)) #<representation binary64>) () ()) |
#s(alt (+.f64 (fma.f64 (*.f64 c (*.f64 a c)) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) a))))) (patch (+.f64 (fma.f64 (*.f64 c (*.f64 a c)) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) a))))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) #<representation binary64>) () ()) |
#s(alt (*.f64 c (/.f64 #s(literal -1/2 binary64) b)) (patch (*.f64 c (/.f64 #s(literal -1/2 binary64) b)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1/2 binary64) b) (patch (/.f64 #s(literal -1/2 binary64) b) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal -3 binary64)) a) (patch (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal -3 binary64)) a) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal -3 binary64)) (patch (/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal -3 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) (patch (-.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) (patch (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 b b) (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) (patch (-.f64 (*.f64 b b) (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 (-.f64 (*.f64 b b) (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))))) #s(literal -3 binary64)) (patch (/.f64 (/.f64 (-.f64 (*.f64 b b) (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))))) #s(literal -3 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (*.f64 b b) (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))))) (patch (/.f64 (-.f64 (*.f64 b b) (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))))) #<representation binary64>) () ()) |
#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b (*.f64 b b)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b b))) (patch (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b (*.f64 b b)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b b))) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b (*.f64 b b)))) (patch (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b (*.f64 b b)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b (*.f64 b b)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b (*.f64 b b)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ()) |
#s(alt (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)) (patch (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (+.f64 (fma.f64 (*.f64 c (*.f64 a c)) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) a))))) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (+.f64 (fma.f64 (*.f64 c (*.f64 a c)) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) a))))) b)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 b (*.f64 b (*.f64 b b)))) (patch (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 b (*.f64 b (*.f64 b b)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)) (patch (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)) #<representation binary64>) () ()) |
#s(alt (+.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) (patch (+.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b (*.f64 b b))) (patch (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b (*.f64 b b))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (taylor 0 a) (#s(alt (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) a))) (patch (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) a))) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) (taylor 0 a) (#s(alt (fma.f64 (*.f64 c (*.f64 a c)) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (patch (fma.f64 (*.f64 c (*.f64 a c)) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1/2 c) (taylor -inf b) (#s(alt (fma.f64 (*.f64 c (*.f64 a c)) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (patch (fma.f64 (*.f64 c (*.f64 a c)) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 6))) (+ (* -9/16 (/ (pow a 2) (* (pow b 4) c))) (* -3/8 (/ a (* (pow b 2) (pow c 2))))))) (taylor inf c) (#s(alt (+.f64 (fma.f64 (*.f64 c (*.f64 a c)) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) a))))) (patch (+.f64 (fma.f64 (*.f64 c (*.f64 a c)) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) a))))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 4) (- (+ (* -135/128 (/ (pow a 3) (pow b 6))) (+ (* -9/16 (/ (pow a 2) (* (pow b 4) c))) (* -3/8 (/ a (* (pow b 2) (pow c 2)))))) (* 1/2 (/ 1 (pow c 3))))) (taylor inf c) (#s(alt (+.f64 (fma.f64 (*.f64 c (*.f64 a c)) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) a))))) (patch (+.f64 (fma.f64 (*.f64 c (*.f64 a c)) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) a))))) #<representation binary64>) () ())) ()) |
#s(alt (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (taylor -inf c) (#s(alt (+.f64 (fma.f64 (*.f64 c (*.f64 a c)) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) a))))) (patch (+.f64 (fma.f64 (*.f64 c (*.f64 a c)) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) a))))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 6))) (* -9/16 (/ (pow a 2) (* (pow b 4) c))))) (taylor -inf c) (#s(alt (+.f64 (fma.f64 (*.f64 c (*.f64 a c)) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) a))))) (patch (+.f64 (fma.f64 (*.f64 c (*.f64 a c)) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) a))))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 6))) (* -1 (/ (+ (* 3/8 (/ a (* (pow b 2) c))) (* 9/16 (/ (pow a 2) (pow b 4)))) c)))) (taylor -inf c) (#s(alt (+.f64 (fma.f64 (*.f64 c (*.f64 a c)) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) a))))) (patch (+.f64 (fma.f64 (*.f64 c (*.f64 a c)) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) a))))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 6))) (* -1 (/ (+ (* -1 (/ (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c))) c)) (* 9/16 (/ (pow a 2) (pow b 4)))) c)))) (taylor -inf c) (#s(alt (+.f64 (fma.f64 (*.f64 c (*.f64 a c)) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) a))))) (patch (+.f64 (fma.f64 (*.f64 c (*.f64 a c)) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) a))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 c) (taylor 0 a) (#s(alt (+.f64 (fma.f64 (*.f64 c (*.f64 a c)) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) a))))) (patch (+.f64 (fma.f64 (*.f64 c (*.f64 a c)) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) a))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) (taylor 0 a) (#s(alt (+.f64 (fma.f64 (*.f64 c (*.f64 a c)) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) a))))) (patch (+.f64 (fma.f64 (*.f64 c (*.f64 a c)) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) a))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 c) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 4))) (* -3/8 (/ (pow c 2) (pow b 2)))))) (taylor 0 a) (#s(alt (+.f64 (fma.f64 (*.f64 c (*.f64 a c)) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) a))))) (patch (+.f64 (fma.f64 (*.f64 c (*.f64 a c)) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) a))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 c) (* a (+ (* -3/8 (/ (pow c 2) (pow b 2))) (* a (+ (* -135/128 (/ (* a (pow c 4)) (pow b 6))) (* -9/16 (/ (pow c 3) (pow b 4)))))))) (taylor 0 a) (#s(alt (+.f64 (fma.f64 (*.f64 c (*.f64 a c)) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) a))))) (patch (+.f64 (fma.f64 (*.f64 c (*.f64 a c)) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) a))))) #<representation binary64>) () ())) ()) |
#s(alt (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (taylor inf a) (#s(alt (+.f64 (fma.f64 (*.f64 c (*.f64 a c)) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) a))))) (patch (+.f64 (fma.f64 (*.f64 c (*.f64 a c)) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) a))))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 6))) (* -9/16 (/ (pow c 3) (* a (pow b 4)))))) (taylor inf a) (#s(alt (+.f64 (fma.f64 (*.f64 c (*.f64 a c)) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) a))))) (patch (+.f64 (fma.f64 (*.f64 c (*.f64 a c)) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) a))))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 6))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 4)))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 2))))))) (taylor inf a) (#s(alt (+.f64 (fma.f64 (*.f64 c (*.f64 a c)) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) a))))) (patch (+.f64 (fma.f64 (*.f64 c (*.f64 a c)) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) a))))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 6))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 4)))) (+ (* -1/2 (/ c (pow a 3))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 2)))))))) (taylor inf a) (#s(alt (+.f64 (fma.f64 (*.f64 c (*.f64 a c)) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) a))))) (patch (+.f64 (fma.f64 (*.f64 c (*.f64 a c)) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) a))))) #<representation binary64>) () ())) ()) |
#s(alt (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (taylor -inf a) (#s(alt (+.f64 (fma.f64 (*.f64 c (*.f64 a c)) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) a))))) (patch (+.f64 (fma.f64 (*.f64 c (*.f64 a c)) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) a))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow a 3) (+ (* 9/16 (/ (pow c 3) (* a (pow b 4)))) (* 135/128 (/ (pow c 4) (pow b 6)))))) (taylor -inf a) (#s(alt (+.f64 (fma.f64 (*.f64 c (*.f64 a c)) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) a))))) (patch (+.f64 (fma.f64 (*.f64 c (*.f64 a c)) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) a))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -9/16 (/ (pow c 3) (pow b 4))) (* -3/8 (/ (pow c 2) (* a (pow b 2))))) a)) (* 135/128 (/ (pow c 4) (pow b 6)))))) (taylor -inf a) (#s(alt (+.f64 (fma.f64 (*.f64 c (*.f64 a c)) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) a))))) (patch (+.f64 (fma.f64 (*.f64 c (*.f64 a c)) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) a))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a))) a)) (* -9/16 (/ (pow c 3) (pow b 4)))) a)) (* 135/128 (/ (pow c 4) (pow b 6)))))) (taylor -inf a) (#s(alt (+.f64 (fma.f64 (*.f64 c (*.f64 a c)) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) a))))) (patch (+.f64 (fma.f64 (*.f64 c (*.f64 a c)) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) a))))) #<representation binary64>) () ())) ()) |
#s(alt (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (taylor 0 b) (#s(alt (+.f64 (fma.f64 (*.f64 c (*.f64 a c)) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) a))))) (patch (+.f64 (fma.f64 (*.f64 c (*.f64 a c)) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* -9/16 (* (pow a 2) (* (pow b 2) (pow c 3))))) (pow b 6)) (taylor 0 b) (#s(alt (+.f64 (fma.f64 (*.f64 c (*.f64 a c)) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) a))))) (patch (+.f64 (fma.f64 (*.f64 c (*.f64 a c)) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* (pow a 2) (pow c 3))) (* -3/8 (* a (* (pow b 2) (pow c 2))))))) (pow b 6)) (taylor 0 b) (#s(alt (+.f64 (fma.f64 (*.f64 c (*.f64 a c)) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) a))))) (patch (+.f64 (fma.f64 (*.f64 c (*.f64 a c)) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) a))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))))))) (pow b 6)) (taylor 0 b) (#s(alt (+.f64 (fma.f64 (*.f64 c (*.f64 a c)) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) a))))) (patch (+.f64 (fma.f64 (*.f64 c (*.f64 a c)) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) a))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 c) (taylor inf b) (#s(alt (+.f64 (fma.f64 (*.f64 c (*.f64 a c)) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) a))))) (patch (+.f64 (fma.f64 (*.f64 c (*.f64 a c)) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) a))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) (taylor inf b) (#s(alt (+.f64 (fma.f64 (*.f64 c (*.f64 a c)) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) a))))) (patch (+.f64 (fma.f64 (*.f64 c (*.f64 a c)) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) a))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) (taylor inf b) (#s(alt (+.f64 (fma.f64 (*.f64 c (*.f64 a c)) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) a))))) (patch (+.f64 (fma.f64 (*.f64 c (*.f64 a c)) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) a))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))))) (taylor inf b) (#s(alt (+.f64 (fma.f64 (*.f64 c (*.f64 a c)) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) a))))) (patch (+.f64 (fma.f64 (*.f64 c (*.f64 a c)) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) a))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 c) (taylor -inf b) (#s(alt (+.f64 (fma.f64 (*.f64 c (*.f64 a c)) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) a))))) (patch (+.f64 (fma.f64 (*.f64 c (*.f64 a c)) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) a))))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) (taylor inf b) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) (taylor -inf b) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) (taylor 0 a) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) (taylor inf a) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) (taylor inf a) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) (taylor -inf a) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1/2 (/ c b)) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) #<representation binary64>) () ())) ()) |
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#s(alt (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) #<representation binary64>) () ())) ()) |
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#s(alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (taylor inf c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) #<representation binary64>) () ())) ()) |
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198 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 19.0ms | a | @ | inf | (/ (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b))))) (* b b)) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b (* b b)))) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b b))) |
| 7.0ms | b | @ | inf | (/ (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b))))) (* b b)) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b (* b b)))) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b b))) |
| 4.0ms | b | @ | inf | (/ (/ (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b))))) (* b b)) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b (* b b)))) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b b))) (* 3 a)) |
| 3.0ms | a | @ | -inf | (/ (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b))))) (* b b)) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b (* b b)))) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b b))) |
| 3.0ms | c | @ | inf | (/ (/ (- (* b b) (+ (* -3 (* a c)) (* b b))) (* a (+ b (sqrt (+ (* -3 (* a c)) (* b b)))))) -3) |
| 1× | egg-herbie |
| 7 310× | lower-*.f64 |
| 7 310× | lower-*.f32 |
| 5 470× | lower-fma.f64 |
| 5 470× | lower-fma.f32 |
| 4 724× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 2602 | 24856 |
| 1 | 7402 | 24726 |
| 0 | 8283 | 23794 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* -1/2 c) |
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2)) |
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2)) |
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2)) |
(* -3/8 (/ (* a (pow c 2)) (pow b 2))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 2))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) |
(* -1/2 c) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 2))) |
(* a (+ (* -1/2 (/ c a)) (* -3/8 (/ (pow c 2) (pow b 2))))) |
(* a (+ (* -1/2 (/ c a)) (* -3/8 (/ (pow c 2) (pow b 2))))) |
(* a (+ (* -1/2 (/ c a)) (* -3/8 (/ (pow c 2) (pow b 2))))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 2))) |
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a))))) |
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a))))) |
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a))))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 2))) |
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 2)) |
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 2)) |
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 2)) |
(* -1/2 c) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(* -1/2 c) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(* -135/128 (* (pow a 4) (pow c 4))) |
(* -135/128 (* (pow a 4) (pow c 4))) |
(* -135/128 (* (pow a 4) (pow c 4))) |
(* -135/128 (* (pow a 4) (pow c 4))) |
(* -135/128 (* (pow a 4) (pow c 4))) |
(* -135/128 (* (pow a 4) (pow c 4))) |
(* -135/128 (* (pow a 4) (pow c 4))) |
(* -135/128 (* (pow a 4) (pow c 4))) |
(* -135/128 (* (pow a 4) (pow c 4))) |
(* -135/128 (* (pow a 4) (pow c 4))) |
(* -135/128 (* (pow a 4) (pow c 4))) |
(* -135/128 (* (pow a 4) (pow c 4))) |
(* -135/128 (* (pow a 4) (pow c 4))) |
(* -135/128 (* (pow a 4) (pow c 4))) |
(* -135/128 (* (pow a 4) (pow c 4))) |
(* -135/128 (* (pow a 4) (pow c 4))) |
(* -135/128 (* (pow a 4) (pow c 4))) |
(* -135/128 (* (pow a 4) (pow c 4))) |
(* -135/128 (* (pow a 4) (pow c 4))) |
(* -135/128 (* (pow a 4) (pow c 4))) |
(* -135/128 (* (pow a 4) (pow c 4))) |
(* -135/128 (* (pow a 4) (pow c 4))) |
(* -135/128 (* (pow a 4) (pow c 4))) |
(* -135/128 (* (pow a 4) (pow c 4))) |
(* -1/2 c) |
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2)) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 4))) (* -3/8 (/ a (pow b 2))))) 1/2)) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 2))) (* c (+ (* -135/128 (/ (* (pow a 3) c) (pow b 6))) (* -9/16 (/ (pow a 2) (pow b 4))))))) 1/2)) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 6))) (* -9/16 (/ (pow a 2) (* (pow b 4) c))))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 6))) (+ (* -9/16 (/ (pow a 2) (* (pow b 4) c))) (* -3/8 (/ a (* (pow b 2) (pow c 2))))))) |
(* (pow c 4) (- (+ (* -135/128 (/ (pow a 3) (pow b 6))) (+ (* -9/16 (/ (pow a 2) (* (pow b 4) c))) (* -3/8 (/ a (* (pow b 2) (pow c 2)))))) (* 1/2 (/ 1 (pow c 3))))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 6))) (* -9/16 (/ (pow a 2) (* (pow b 4) c))))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 6))) (* -1 (/ (+ (* 3/8 (/ a (* (pow b 2) c))) (* 9/16 (/ (pow a 2) (pow b 4)))) c)))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 6))) (* -1 (/ (+ (* -1 (/ (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c))) c)) (* 9/16 (/ (pow a 2) (pow b 4)))) c)))) |
(* -1/2 c) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(+ (* -1/2 c) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 4))) (* -3/8 (/ (pow c 2) (pow b 2)))))) |
(+ (* -1/2 c) (* a (+ (* -3/8 (/ (pow c 2) (pow b 2))) (* a (+ (* -135/128 (/ (* a (pow c 4)) (pow b 6))) (* -9/16 (/ (pow c 3) (pow b 4)))))))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 6))) (* -9/16 (/ (pow c 3) (* a (pow b 4)))))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 6))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 4)))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 2))))))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 6))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 4)))) (+ (* -1/2 (/ c (pow a 3))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 2)))))))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* -1 (* (pow a 3) (+ (* 9/16 (/ (pow c 3) (* a (pow b 4)))) (* 135/128 (/ (pow c 4) (pow b 6)))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -9/16 (/ (pow c 3) (pow b 4))) (* -3/8 (/ (pow c 2) (* a (pow b 2))))) a)) (* 135/128 (/ (pow c 4) (pow b 6)))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a))) a)) (* -9/16 (/ (pow c 3) (pow b 4)))) a)) (* 135/128 (/ (pow c 4) (pow b 6)))))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* -9/16 (* (pow a 2) (* (pow b 2) (pow c 3))))) (pow b 6)) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* (pow a 2) (pow c 3))) (* -3/8 (* a (* (pow b 2) (pow c 2))))))) (pow b 6)) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))))))) (pow b 6)) |
(* -1/2 c) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) |
(+ (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))))) |
(* -1/2 c) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) |
(+ (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(* -1/2 (/ c b)) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* -1/2 (/ c b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(/ -1/2 b) |
(/ -1/2 b) |
(/ -1/2 b) |
(/ -1/2 b) |
(/ -1/2 b) |
(/ -1/2 b) |
(/ -1/2 b) |
(/ -1/2 b) |
(/ -1/2 b) |
(/ -1/2 b) |
(/ -1/2 b) |
(/ -1/2 b) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(* -1/2 (/ c b)) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* -1/2 (/ c b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* 1/3 (* (sqrt (* a c)) (sqrt -3))) |
(+ (* -1/3 b) (* 1/3 (* (sqrt (* a c)) (sqrt -3)))) |
(+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1/3))) |
(+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1/3))) |
(* -1/2 (/ (* a c) b)) |
(/ (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (+ (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* -2/3 b) |
(* -1 (* b (+ 2/3 (* -1/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2/3 (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2/3 (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1/2 (/ (* a c) b)) |
(* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(* 1/3 (* (sqrt (* a c)) (sqrt -3))) |
(* a (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(* a (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* a (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))) |
(* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b a))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* -1/3 b)) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(* -1/2 (/ (* a c) b)) |
(* c (+ (* -1/2 (/ a b)) (* -3/8 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -1/2 (/ a b)) (* c (+ (* -9/16 (/ (* (pow a 3) c) (pow b 5))) (* -3/8 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -1/2 (/ a b)) (* c (+ (* -3/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -9/16 (/ (pow a 3) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(* 1/3 (* (sqrt (* a c)) (sqrt -3))) |
(* c (+ (* -1/3 (/ b c)) (* 1/3 (* (sqrt (/ a c)) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b c)) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b c)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3))))))) |
(* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b c))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 b)) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* (sqrt (* a c)) (sqrt -3))) |
(- b (* (sqrt (* a c)) (sqrt -3))) |
(- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))))) (* (sqrt (* a c)) (sqrt -3))) |
(- (* b (+ 1 (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))) (* (sqrt (* a c)) (sqrt -3))) |
(* 3/2 (/ (* a c) b)) |
(/ (- (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -3/2 (* a c))) b) |
(/ (- (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (- (* 1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b) |
(* 2 b) |
(* -1 (* b (- (* 3/2 (/ (* a c) (pow b 2))) 2))) |
(* -1 (* b (- (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))) |
(* -1 (* b (- (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* 3/2 (/ (* a c) b)) |
(* a (- (* 9/8 (/ (* a (pow c 2)) (pow b 3))) (* -3/2 (/ c b)))) |
(* a (- (* a (- (* 27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))) (* -3/2 (/ c b)))) |
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)) (* -27/16 (/ (pow c 3) (pow b 5))))) (* -9/8 (/ (pow c 2) (pow b 3))))) (* -3/2 (/ c b)))) |
(* -1 (* (sqrt (* a c)) (sqrt -3))) |
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))) |
(* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))) |
(* -1 (* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (- (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (- (* -1 (/ (+ b (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* 3/2 (/ (* a c) b)) |
(* c (- (* 9/8 (/ (* (pow a 2) c) (pow b 3))) (* -3/2 (/ a b)))) |
(* c (- (* c (- (* 27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))) (* -3/2 (/ a b)))) |
(* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)) (* -27/16 (/ (pow a 3) (pow b 5))))) (* -9/8 (/ (pow a 2) (pow b 3))))) (* -3/2 (/ a b)))) |
(* -1 (* (sqrt (* a c)) (sqrt -3))) |
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))) |
(* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))) |
(* -1 (* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (- (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (- (* -1 (/ (+ b (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
b |
(+ b (* -3/2 (/ (* a c) b))) |
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
b |
(+ b (* -3/2 (/ (* a c) b))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))))) |
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5))))))))) |
b |
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 b) |
(* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) |
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (/ b (* a (pow (sqrt -3) 2)))) |
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* b (+ (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))))) (/ 1 (* a (pow (sqrt -3) 2)))))) |
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* b (+ (* b (+ (* -1 (* b (- (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -3) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3))))) (sqrt -3))))))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3))))))) (/ 1 (* a (pow (sqrt -3) 2)))))) |
(* -1/2 (/ c b)) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -27/32 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -27/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))))))) b) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -3/4 (/ (* a (pow c 2)) (pow b 4))) (+ (* -1/2 (/ c (pow b 2))) (+ (* 3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -1 (* b (+ (* -3/4 (/ (* a (* c (+ (* -3/4 (* a (pow c 2))) (* 3/8 (* a (pow c 2)))))) (pow b 6))) (+ (* -3/4 (/ (* a (pow c 2)) (pow b 4))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (* (pow b 6) c)))) (+ (* 3/8 (/ (* a (pow c 2)) (pow b 4))) (+ (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (* 2/3 (/ 1 a)))))))))) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* a (+ (* -27/32 (/ (pow c 4) (pow b 7))) (* -27/128 (/ (pow c 4) (pow b 7)))))))))) |
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) |
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (/ b (pow (sqrt -3) 2))) a) |
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (/ b (pow (sqrt -3) 2))))) a) |
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (+ (* -1/2 (/ (pow b 3) (* a (* c (pow (sqrt -3) 4))))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (/ b (pow (sqrt -3) 2))))))) a) |
(* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (/ b (pow (sqrt 3) 2))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ (* a b) (pow (sqrt 3) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ (* a b) (pow (sqrt 3) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt 3) 4))))) a)) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) a))) a))) a)) |
(* -1/2 (/ c b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* c (+ (* -27/32 (/ (pow a 3) (pow b 7))) (* -27/128 (/ (pow a 3) (pow b 7))))))))) (* 1/2 (/ 1 b)))) |
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) |
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (/ b (* a (pow (sqrt -3) 2)))) |
(- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (pow c 2)))) (* -1 (/ b (* a (pow (sqrt -3) 2))))) |
(- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (sqrt -3)))) (* 1/2 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -3) 4))))) (pow c 3)))) (+ (* -1 (/ b (* a (pow (sqrt -3) 2)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3)))))) |
(* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))) |
(+ (* -1 (/ b (* a (pow (sqrt 3) 2)))) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) |
(+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) (* -1 (/ (* b c) (* a (pow (sqrt 3) 2))))) c)) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow b 3) c) (* (pow a 2) (pow (sqrt 3) 4))))) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) c)) (* -1 (/ (* b c) (* a (pow (sqrt 3) 2))))) c)) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) |
(* 3 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) |
(+ (* -3 (/ b (* a (pow (sqrt -3) 2)))) (* 3 (* (sqrt (/ c a)) (/ 1 (sqrt -3))))) |
(+ (* 3 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* b (- (* -3 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3))))))) (* 3 (/ 1 (* a (pow (sqrt -3) 2))))))) |
(+ (* 3 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* b (- (* b (+ (* -3 (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))))) (* 3 (* b (- (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -3) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3))))) (sqrt -3))))))))) (* 3 (/ 1 (* a (pow (sqrt -3) 2))))))) |
(* 3/2 (/ c b)) |
(/ (+ (* 9/8 (/ (* a (pow c 2)) (pow b 2))) (* 3/2 c)) b) |
(/ (+ (* 9/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 3/2 c) (* 27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b) |
(/ (+ (* -3 (/ (+ (* -27/32 (* (pow a 3) (pow c 4))) (* -27/128 (* (pow a 3) (pow c 4)))) (pow b 6))) (+ (* 9/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 3/2 c) (* 27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4)))))) b) |
(* 2 (/ b a)) |
(* -1 (* b (- (* 3/2 (/ c (pow b 2))) (* 2 (/ 1 a))))) |
(* -1 (* b (- (+ (* -3 (/ (+ (* -3/4 (* a (pow c 2))) (* 3/8 (* a (pow c 2)))) (pow b 4))) (* 3/2 (/ c (pow b 2)))) (* 2 (/ 1 a))))) |
(* -1 (* b (- (+ (* -3 (/ (+ (* -3/4 (* a (* c (+ (* -3/4 (* a (pow c 2))) (* 3/8 (* a (pow c 2))))))) (+ (* -2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))) (* 9/16 (* (pow a 2) (pow c 3))))) (pow b 6))) (+ (* -3 (/ (+ (* -3/4 (* a (pow c 2))) (* 3/8 (* a (pow c 2)))) (pow b 4))) (* 3/2 (/ c (pow b 2))))) (* 2 (/ 1 a))))) |
(* 3/2 (/ c b)) |
(+ (* 9/8 (/ (* a (pow c 2)) (pow b 3))) (* 3/2 (/ c b))) |
(+ (* 3/2 (/ c b)) (* a (+ (* 9/8 (/ (pow c 2) (pow b 3))) (* 27/16 (/ (* a (pow c 3)) (pow b 5)))))) |
(+ (* 3/2 (/ c b)) (* a (+ (* 9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -3 (* a (+ (* -27/32 (/ (pow c 4) (pow b 7))) (* -27/128 (/ (pow c 4) (pow b 7)))))) (* 27/16 (/ (pow c 3) (pow b 5)))))))) |
(* 3 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) |
(/ (+ (* -3 (/ b (pow (sqrt -3) 2))) (* 3 (* (sqrt (* a c)) (/ 1 (sqrt -3))))) a) |
(/ (+ (* -3 (/ b (pow (sqrt -3) 2))) (+ (* -3 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow a 2))) (* 3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))))) a) |
(/ (+ (* -3 (/ b (pow (sqrt -3) 2))) (+ (* -3 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -3) 4))))) (pow a 3))) (+ (* -3 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow a 2))) (* 3 (* (sqrt (* a c)) (/ 1 (sqrt -3))))))) a) |
(* -3 (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) |
(* -1 (/ (+ (* -3 (/ b (pow (sqrt 3) 2))) (* 3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3))))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* 3 (/ (* a b) (pow (sqrt 3) 2))) (* 3 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a)) (* 3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3))))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -3 (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) (* 3 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt 3) 4))))) a))) a)) (* 3 (/ (* a b) (pow (sqrt 3) 2)))) a)) (* 3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3))))) a)) |
(* 3/2 (/ c b)) |
(* c (+ (* 9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b)))) |
(* c (+ (* c (+ (* 9/8 (/ a (pow b 3))) (* 27/16 (/ (* (pow a 2) c) (pow b 5))))) (* 3/2 (/ 1 b)))) |
(* c (+ (* c (+ (* 9/8 (/ a (pow b 3))) (* c (+ (* -3 (* c (+ (* -27/32 (/ (pow a 3) (pow b 7))) (* -27/128 (/ (pow a 3) (pow b 7)))))) (* 27/16 (/ (pow a 2) (pow b 5))))))) (* 3/2 (/ 1 b)))) |
(* 3 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) |
(+ (* -3 (/ b (* a (pow (sqrt -3) 2)))) (* 3 (* (sqrt (/ c a)) (/ 1 (sqrt -3))))) |
(- (+ (* -1 (/ (+ (* -3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow c 2))) (* 3 (* (sqrt (/ c a)) (/ 1 (sqrt -3))))) (* 3 (/ b (* a (pow (sqrt -3) 2))))) |
(- (+ (* -1 (/ (+ (* -3/2 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -3) 4)))) (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3))))) (pow c 3))) (* 3 (* (sqrt (/ c a)) (/ 1 (sqrt -3))))) (+ (* -3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* 3/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3 (/ b (* a (pow (sqrt -3) 2))))))) |
(* -3 (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) |
(+ (* -3 (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) (* 3 (/ b (* a (pow (sqrt 3) 2))))) |
(+ (* -3 (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (- (+ (* -3/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) (* 3 (/ (* b c) (* a (pow (sqrt 3) 2))))) c))) |
(+ (* -3 (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -3/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* 3/2 (/ (* (pow b 3) c) (* (pow a 2) (pow (sqrt 3) 4))))) (+ (* -3/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) c)) (* 3 (/ (* b c) (* a (pow (sqrt 3) 2))))) c))) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(* -3/2 (/ (* a c) b)) |
(* a (+ (* -3/2 (/ c b)) (* a (- (+ (* -9/2 (/ (pow c 2) (pow b 3))) (* 9/4 (/ (pow c 2) (pow b 3)))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -3/2 (/ c b)) (* a (- (+ (* -9/2 (/ (pow c 2) (pow b 3))) (+ (* 9/4 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (+ (* -3/2 (/ (* c (- (* -9/2 (/ (pow c 2) (pow b 2))) (* -9/8 (/ (pow c 2) (pow b 2))))) (pow b 3))) (* 3/4 (* b (* c (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6)))))))))))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -3/2 (/ c b)) (* a (- (+ (* -9/2 (/ (pow c 2) (pow b 3))) (+ (* 9/4 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (+ (* -3/2 (/ (* c (- (* -9/2 (/ (pow c 2) (pow b 2))) (* -9/8 (/ (pow c 2) (pow b 2))))) (pow b 3))) (+ (* 3/4 (* b (* c (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6))))))) (* a (- (+ (* -81/8 (/ (pow c 4) (pow b 7))) (+ (* -1/2 (* b (* (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6)))) (- (* -9/2 (/ (pow c 2) (pow b 2))) (* -9/8 (/ (pow c 2) (pow b 2))))))) (+ (* 3/4 (* b (* c (+ (* 3/2 (/ (* c (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6))))) (pow b 2))) (* 27 (/ (pow c 3) (pow b 8))))))) (* 81/32 (/ (pow c 4) (pow b 7)))))) (* -1/2 (/ (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6)))) b)))))))))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(* (sqrt (/ a c)) (/ (* (sqrt 1/3) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3))))) (pow b 2))) |
(* a (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3)))) (sqrt 1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt 1/3) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3))))) (pow b 2))) (* (sqrt (/ 1 (* (pow a 5) c))) (* (sqrt 1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (pow b 3) (sqrt 3)))))))))) |
(* a (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3)))) (sqrt 1/3)))) (+ (* 1/54 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 2) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3))))) (sqrt 1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt 1/3) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3))))) (pow b 2))) (* (sqrt (/ 1 (* (pow a 5) c))) (* (sqrt 1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (pow b 3) (sqrt 3))))))))))) |
(* a (+ (* -1/2 (* (sqrt (/ c (pow a 7))) (/ (* (+ (* 1/324 (/ (* a (pow b 4)) (* (pow c 3) (pow (sqrt 1/3) 2)))) (* 1/81 (/ (pow b 6) (pow c 4)))) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3))))) (* (pow b 2) (sqrt 1/3))))) (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3)))) (sqrt 1/3)))) (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 7) (pow c 3)))) (/ (* (pow b 2) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (pow b 3) (sqrt 3)))))) (sqrt 1/3)))) (+ (* 1/54 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 2) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3))))) (sqrt 1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt 1/3) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3))))) (pow b 2))) (+ (* (sqrt (/ 1 (* (pow a 5) c))) (* (sqrt 1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (pow b 3) (sqrt 3))))))) (* (sqrt (/ 1 (* (pow a 9) c))) (* (sqrt 1/3) (- (* -1/8 (/ (pow b 8) (* (pow c 3) (pow (sqrt -9) 3)))) (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 5) (pow (sqrt 3) 3)))))))))))))) |
(* -1 (* (sqrt (/ a c)) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (pow b 2)))) |
(* -1 (* a (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1)))))) (sqrt -1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (pow b 2))) (* (sqrt (/ 1 (* (pow a 5) c))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3)))))))))))) |
(* -1 (* a (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1)))))) (sqrt -1/3)))) (+ (* 1/54 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 2) (* (sqrt -1) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (pow b 2))) (* (sqrt (/ 1 (* (pow a 5) c))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))))))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (* a c)) (/ (* (sqrt -1) (* (+ (* -1/324 (/ (* a (pow b 4)) (* (pow c 3) (pow (sqrt -1/3) 2)))) (* 1/81 (/ (pow b 6) (pow c 4)))) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (* (pow b 2) (sqrt -1/3))))) (+ (* -1/18 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (* (sqrt -1) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (- (* -1/8 (/ (pow b 8) (* (pow c 3) (pow (sqrt -9) 3)))) (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 5) (sqrt -1)) (pow (sqrt -3) 3)))))))))) a)) (* -1/54 (* (sqrt (/ a (pow c 5))) (/ (* (pow b 2) (* (sqrt -1) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3))))) (pow a 3))) (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1)))))) (sqrt -1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (pow b 2))) (* (sqrt (/ 1 (* (pow a 5) c))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))))))))) |
(* -3/2 (/ (* a c) b)) |
(* c (+ (* -3/2 (/ a b)) (* c (- (+ (* -9/2 (/ (pow a 2) (pow b 3))) (* 9/4 (/ (pow a 2) (pow b 3)))) (* -9/8 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -3/2 (/ a b)) (* c (- (+ (* -9/2 (/ (pow a 2) (pow b 3))) (+ (* 9/4 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (+ (* -3/2 (/ (* a (- (* -9/2 (/ (pow a 2) (pow b 2))) (* -9/8 (/ (pow a 2) (pow b 2))))) (pow b 3))) (* 3/4 (* a (* b (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6)))))))))))) (* -9/8 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -3/2 (/ a b)) (* c (- (+ (* -9/2 (/ (pow a 2) (pow b 3))) (+ (* 9/4 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (+ (* -3/2 (/ (* a (- (* -9/2 (/ (pow a 2) (pow b 2))) (* -9/8 (/ (pow a 2) (pow b 2))))) (pow b 3))) (+ (* 3/4 (* a (* b (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6))))))) (* c (- (+ (* -81/8 (/ (pow a 4) (pow b 7))) (+ (* -1/2 (* b (* (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6)))) (- (* -9/2 (/ (pow a 2) (pow b 2))) (* -9/8 (/ (pow a 2) (pow b 2))))))) (+ (* 3/4 (* a (* b (+ (* 3/2 (/ (* a (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6))))) (pow b 2))) (* 27 (/ (pow a 3) (pow b 8))))))) (* 81/32 (/ (pow a 4) (pow b 7)))))) (* -1/2 (/ (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6)))) b)))))))))) (* -9/8 (/ (pow a 2) (pow b 3))))))) |
(* (sqrt (/ c a)) (/ (* (sqrt 1/3) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3))))) (pow b 2))) |
(* c (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3)))) (sqrt 1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt 1/3) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3))))) (pow b 2))) (* (sqrt (/ 1 (* a (pow c 5)))) (* (sqrt 1/3) (- (* 1/2 (/ (pow b 4) (* a (sqrt -9)))) (* 1/2 (* (sqrt (/ c a)) (/ (pow b 3) (sqrt 3)))))))))) |
(* c (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3)))) (sqrt 1/3)))) (+ (* 1/54 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 2) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3))))) (sqrt 1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt 1/3) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3))))) (pow b 2))) (* (sqrt (/ 1 (* a (pow c 5)))) (* (sqrt 1/3) (- (* 1/2 (/ (pow b 4) (* a (sqrt -9)))) (* 1/2 (* (sqrt (/ c a)) (/ (pow b 3) (sqrt 3))))))))))) |
(* c (+ (* -1/2 (* (sqrt (/ a (pow c 7))) (/ (* (+ (* 1/324 (/ (* (pow b 4) c) (* (pow a 3) (pow (sqrt 1/3) 2)))) (* 1/81 (/ (pow b 6) (pow a 4)))) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3))))) (* (pow b 2) (sqrt 1/3))))) (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3)))) (sqrt 1/3)))) (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 7)))) (/ (* (pow b 2) (- (* 1/2 (/ (pow b 4) (* a (sqrt -9)))) (* 1/2 (* (sqrt (/ c a)) (/ (pow b 3) (sqrt 3)))))) (sqrt 1/3)))) (+ (* 1/54 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 2) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3))))) (sqrt 1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt 1/3) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3))))) (pow b 2))) (+ (* (sqrt (/ 1 (* a (pow c 5)))) (* (sqrt 1/3) (- (* 1/2 (/ (pow b 4) (* a (sqrt -9)))) (* 1/2 (* (sqrt (/ c a)) (/ (pow b 3) (sqrt 3))))))) (* (sqrt (/ 1 (* a (pow c 9)))) (* (sqrt 1/3) (- (* -1/8 (/ (pow b 8) (* (pow a 3) (pow (sqrt -9) 3)))) (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 5) (pow (sqrt 3) 3)))))))))))))) |
(* -1 (* (sqrt (/ c a)) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (pow b 2)))) |
(* -1 (* c (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1)))))) (sqrt -1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (pow b 2))) (* (sqrt (/ 1 (* a (pow c 5)))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* a (sqrt -9)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3)))))))))))) |
(* -1 (* c (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1)))))) (sqrt -1/3)))) (+ (* 1/54 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 2) (* (sqrt -1) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (pow b 2))) (* (sqrt (/ 1 (* a (pow c 5)))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* a (sqrt -9)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (* a c)) (/ (* (sqrt -1) (* (+ (* -1/324 (/ (* (pow b 4) c) (* (pow a 3) (pow (sqrt -1/3) 2)))) (* 1/81 (/ (pow b 6) (pow a 4)))) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (* (pow b 2) (sqrt -1/3))))) (+ (* -1/18 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (* (sqrt -1) (- (* 1/2 (/ (pow b 4) (* a (sqrt -9)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (- (* -1/8 (/ (pow b 8) (* (pow a 3) (pow (sqrt -9) 3)))) (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 5) (sqrt -1)) (pow (sqrt -3) 3)))))))))) c)) (* -1/54 (* (sqrt (/ c (pow a 5))) (/ (* (pow b 2) (* (sqrt -1) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3))))) (pow c 3))) (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1)))))) (sqrt -1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (pow b 2))) (* (sqrt (/ 1 (* a (pow c 5)))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* a (sqrt -9)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))))))))) |
(* (sqrt (* a c)) (* (sqrt -9) (sqrt 1/3))) |
(+ (* -1 (* b (* (sqrt 1/3) (sqrt 3)))) (* (sqrt (* a c)) (* (sqrt -9) (sqrt 1/3)))) |
(+ (* b (+ (* -1 (* (sqrt 1/3) (sqrt 3))) (* -1/18 (* (sqrt (/ 1 (* a c))) (/ (* b (sqrt -9)) (sqrt 1/3)))))) (* (sqrt (* a c)) (* (sqrt -9) (sqrt 1/3)))) |
(+ (* b (+ (* -1 (* (sqrt 1/3) (sqrt 3))) (* b (+ (* -1/18 (* (sqrt (/ 1 (* a c))) (/ (sqrt -9) (sqrt 1/3)))) (* b (+ (* -1/2 (/ (sqrt 1/3) (* a (* c (sqrt 3))))) (* 1/18 (/ (sqrt 3) (* a (* c (sqrt 1/3))))))))))) (* (sqrt (* a c)) (* (sqrt -9) (sqrt 1/3)))) |
(* -3/2 (/ (* a c) b)) |
(/ (- (+ (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* -3/2 (* a c)) (* 9/4 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (- (+ (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -3/2 (/ (* a (* c (- (* -9/2 (* (pow a 2) (pow c 2))) (* -9/8 (* (pow a 2) (pow c 2)))))) (pow b 4))) (+ (* 3/4 (/ (* a (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))))) (pow b 4))) (* 9/4 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (- (+ (* -81/8 (/ (* (pow a 4) (pow c 4)) (pow b 6))) (+ (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -3/2 (/ (* a (* c (- (* -9/2 (* (pow a 2) (pow c 2))) (* -9/8 (* (pow a 2) (pow c 2)))))) (pow b 4))) (+ (* -1/2 (/ (* (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) (- (* -9/2 (* (pow a 2) (pow c 2))) (* -9/8 (* (pow a 2) (pow c 2))))) (pow b 6))) (+ (* 3/4 (/ (* a (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))))) (pow b 4))) (+ (* 3/4 (/ (* a (* c (+ (* 3/2 (* a (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2))))))) (* 27 (* (pow a 3) (pow c 3)))))) (pow b 6))) (+ (* 9/4 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 81/32 (/ (* (pow a 4) (pow c 4)) (pow b 6)))))))))))) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6))))) b) |
(* -2 b) |
(* -1 (* b (+ 2 (+ (* -3 (/ (* a c) (pow b 2))) (* 3/2 (/ (* a c) (pow b 2))))))) |
(* -1 (* b (- (+ 2 (+ (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* -3 (/ (* a c) (pow b 2))) (+ (* -9/4 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* -1 (/ (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 3/2 (/ (* a c) (pow b 2)))))))) (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* -1 (* b (- (+ 2 (+ (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* -3 (/ (* a c) (pow b 2))) (+ (* -9/4 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* -3/2 (/ (* a (* c (- (* -9/2 (* (pow a 2) (pow c 2))) (* 9/8 (* (pow a 2) (pow c 2)))))) (pow b 6))) (+ (* -1 (/ (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) (pow b 4))) (+ (* -1 (/ (+ (* 3/2 (* a (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2))))))) (* 27 (* (pow a 3) (pow c 3)))) (pow b 6))) (+ (* -3/4 (/ (* a (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))))) (pow b 6))) (+ (* 3/2 (/ (* a c) (pow b 2))) (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6)))))))))))) (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* -3/2 (* a (* (pow b 2) c))) |
(* a (- (* a (- (* -9/2 (pow c 2)) (* -9/8 (pow c 2)))) (* 3/2 (* (pow b 2) c)))) |
(* a (- (* a (- (+ (* -9/2 (pow c 2)) (* -27/16 (/ (* a (pow c 3)) (pow b 2)))) (* -9/8 (pow c 2)))) (* 3/2 (* (pow b 2) c)))) |
(* a (- (* a (- (+ (* -9/2 (pow c 2)) (* a (- (* a (- (* -81/8 (/ (pow c 4) (pow b 4))) (* -1/2 (* (pow b 2) (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6)))))))) (* 27/16 (/ (pow c 3) (pow b 2)))))) (* -9/8 (pow c 2)))) (* 3/2 (* (pow b 2) c)))) |
(* a (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3))))) |
(* a (- (+ (* 1/2 (/ (pow b 6) (* (pow a 2) (* c (sqrt -9))))) (* (pow b 2) (* c (sqrt -9)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 5) (sqrt 3)))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3)))))) |
(* a (- (+ (* -1/8 (/ (pow b 10) (* (pow a 4) (* (pow c 3) (pow (sqrt -9) 3))))) (+ (* 1/2 (/ (pow b 6) (* (pow a 2) (* c (sqrt -9))))) (* (pow b 2) (* c (sqrt -9))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 7) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 5) (sqrt 3)))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3))))))) |
(* a (- (+ (* -1/8 (/ (pow b 10) (* (pow a 4) (* (pow c 3) (pow (sqrt -9) 3))))) (+ (* 1/16 (/ (pow b 14) (* (pow a 6) (* (pow c 5) (pow (sqrt -9) 5))))) (+ (* 1/2 (/ (pow b 6) (* (pow a 2) (* c (sqrt -9))))) (* (pow b 2) (* c (sqrt -9)))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 7) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 9) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 5) (sqrt 3)))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3)))))))) |
(* -1 (* a (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) |
(* -1 (* a (- (+ (* 1/2 (/ (pow b 6) (* (pow a 2) (* c (sqrt -9))))) (* (pow b 2) (* c (sqrt -9)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 5) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1)))))))) |
(* -1 (* a (- (+ (* -1/8 (/ (pow b 10) (* (pow a 4) (* (pow c 3) (pow (sqrt -9) 3))))) (+ (* 1/2 (/ (pow b 6) (* (pow a 2) (* c (sqrt -9))))) (* (pow b 2) (* c (sqrt -9))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 7) (sqrt -1)) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 5) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))))) |
(* -1 (* a (- (+ (* -1/8 (/ (pow b 10) (* (pow a 4) (* (pow c 3) (pow (sqrt -9) 3))))) (+ (* 1/16 (/ (pow b 14) (* (pow a 6) (* (pow c 5) (pow (sqrt -9) 5))))) (+ (* 1/2 (/ (pow b 6) (* (pow a 2) (* c (sqrt -9))))) (* (pow b 2) (* c (sqrt -9)))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 7) (sqrt -1)) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 9) (sqrt -1)) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 5) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1)))))))))) |
(* -3/2 (* a (* (pow b 2) c))) |
(* c (- (* c (- (* -9/2 (pow a 2)) (* -9/8 (pow a 2)))) (* 3/2 (* a (pow b 2))))) |
(* c (- (* c (- (+ (* -9/2 (pow a 2)) (* -27/16 (/ (* (pow a 3) c) (pow b 2)))) (* -9/8 (pow a 2)))) (* 3/2 (* a (pow b 2))))) |
(* c (- (* c (- (+ (* -9/2 (pow a 2)) (* c (- (* c (- (* -81/8 (/ (pow a 4) (pow b 4))) (* -1/2 (* (pow b 2) (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6)))))))) (* 27/16 (/ (pow a 3) (pow b 2)))))) (* -9/8 (pow a 2)))) (* 3/2 (* a (pow b 2))))) |
(* c (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3))))) |
(* c (- (+ (* 1/2 (/ (pow b 6) (* a (* (pow c 2) (sqrt -9))))) (* a (* (pow b 2) (sqrt -9)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 5) (sqrt 3)))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3)))))) |
(* c (- (+ (* -1/8 (/ (pow b 10) (* (pow a 3) (* (pow c 4) (pow (sqrt -9) 3))))) (+ (* 1/2 (/ (pow b 6) (* a (* (pow c 2) (sqrt -9))))) (* a (* (pow b 2) (sqrt -9))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 7) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 5) (sqrt 3)))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3))))))) |
(* c (- (+ (* -1/8 (/ (pow b 10) (* (pow a 3) (* (pow c 4) (pow (sqrt -9) 3))))) (+ (* 1/16 (/ (pow b 14) (* (pow a 5) (* (pow c 6) (pow (sqrt -9) 5))))) (+ (* 1/2 (/ (pow b 6) (* a (* (pow c 2) (sqrt -9))))) (* a (* (pow b 2) (sqrt -9)))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 7) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 9) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 5) (sqrt 3)))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3)))))))) |
(* -1 (* c (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) |
(* -1 (* c (- (+ (* 1/2 (/ (pow b 6) (* a (* (pow c 2) (sqrt -9))))) (* a (* (pow b 2) (sqrt -9)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 5) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1)))))))) |
(* -1 (* c (- (+ (* -1/8 (/ (pow b 10) (* (pow a 3) (* (pow c 4) (pow (sqrt -9) 3))))) (+ (* 1/2 (/ (pow b 6) (* a (* (pow c 2) (sqrt -9))))) (* a (* (pow b 2) (sqrt -9))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 7) (sqrt -1)) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 5) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))))) |
(* -1 (* c (- (+ (* -1/8 (/ (pow b 10) (* (pow a 3) (* (pow c 4) (pow (sqrt -9) 3))))) (+ (* 1/16 (/ (pow b 14) (* (pow a 5) (* (pow c 6) (pow (sqrt -9) 5))))) (+ (* 1/2 (/ (pow b 6) (* a (* (pow c 2) (sqrt -9))))) (* a (* (pow b 2) (sqrt -9)))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 7) (sqrt -1)) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 9) (sqrt -1)) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 5) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1)))))))))) |
(* a (* (pow b 2) (* c (sqrt -9)))) |
(* (pow b 2) (+ (* -1 (* (sqrt (* a c)) (* b (sqrt 3)))) (* a (* c (sqrt -9))))) |
(* (pow b 2) (+ (* a (* c (sqrt -9))) (* b (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt 3)))) (* (sqrt (* a c)) (sqrt 3)))))) |
(* (pow b 2) (+ (* a (* c (sqrt -9))) (* b (- (* (pow b 2) (- (* 1/2 (/ b (* a (* c (sqrt -9))))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt 3)))))) (* (sqrt (* a c)) (sqrt 3)))))) |
(* -3/2 (* a (* (pow b 2) c))) |
(* (pow b 2) (- (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 3/2 (* a c))))) |
(* (pow b 2) (- (+ (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4)))) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 3/2 (* a c))))) |
(* (pow b 2) (- (+ (* -81/8 (/ (* (pow a 4) (pow c 4)) (pow b 6))) (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* 3/2 (* a c)) (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4)))))))) |
(* 2 (pow b 4)) |
(* (pow b 4) (+ 2 (* 3/2 (/ (* a c) (pow b 2))))) |
(* (pow b 4) (- (+ 2 (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* (pow b 4) (- (+ 2 (+ (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* 1/3 (* a (- (+ (* -9/2 (/ (pow c 2) (pow b 3))) (* 9/4 (/ (pow c 2) (pow b 3)))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* 1/3 (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (+ (* -3/2 (/ (* c (- (* -9/2 (/ (pow c 2) (pow b 2))) (* -9/8 (/ (pow c 2) (pow b 2))))) (pow b 3))) (* 3/4 (* b (* c (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6))))))))))) (* 1/3 (- (+ (* -9/2 (/ (pow c 2) (pow b 3))) (* 9/4 (/ (pow c 2) (pow b 3)))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* 1/3 (- (+ (* -9/2 (/ (pow c 2) (pow b 3))) (* 9/4 (/ (pow c 2) (pow b 3)))) (* -9/8 (/ (pow c 2) (pow b 3))))) (* a (+ (* 1/3 (* a (- (+ (* -81/8 (/ (pow c 4) (pow b 7))) (+ (* -1/2 (* b (* (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6)))) (- (* -9/2 (/ (pow c 2) (pow b 2))) (* -9/8 (/ (pow c 2) (pow b 2))))))) (+ (* 3/4 (* b (* c (+ (* 3/2 (/ (* c (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6))))) (pow b 2))) (* 27 (/ (pow c 3) (pow b 8))))))) (* 81/32 (/ (pow c 4) (pow b 7)))))) (* -1/2 (/ (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6)))) b))))) (* 1/3 (+ (* -27/16 (/ (pow c 3) (pow b 5))) (+ (* -3/2 (/ (* c (- (* -9/2 (/ (pow c 2) (pow b 2))) (* -9/8 (/ (pow c 2) (pow b 2))))) (pow b 3))) (* 3/4 (* b (* c (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6))))))))))))))) |
(* 1/3 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt 1/3) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3))))) (pow b 2)))) |
(+ (* 1/3 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt 1/3) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3))))) (pow b 2)))) (* 1/3 (/ (+ (* -1/18 (* (sqrt (/ a (pow c 3))) (/ (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3)))) (sqrt 1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt 1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (pow b 3) (sqrt 3)))))))) (pow a 2)))) |
(+ (* 1/162 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 2) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3))))) (sqrt 1/3)))) (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt 1/3) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3))))) (pow b 2)))) (* 1/3 (/ (+ (* -1/18 (* (sqrt (/ a (pow c 3))) (/ (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3)))) (sqrt 1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt 1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (pow b 3) (sqrt 3)))))))) (pow a 2))))) |
(+ (* 1/162 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 2) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3))))) (sqrt 1/3)))) (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt 1/3) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3))))) (pow b 2)))) (+ (* 1/3 (/ (+ (* -1/2 (* (sqrt (* a c)) (/ (* (+ (* 1/324 (/ (* a (pow b 4)) (* (pow c 3) (pow (sqrt 1/3) 2)))) (* 1/81 (/ (pow b 6) (pow c 4)))) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3))))) (* (pow b 2) (sqrt 1/3))))) (+ (* -1/18 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (pow b 3) (sqrt 3)))))) (sqrt 1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt 1/3) (- (* -1/8 (/ (pow b 8) (* (pow c 3) (pow (sqrt -9) 3)))) (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 5) (pow (sqrt 3) 3))))))))) (pow a 4))) (* 1/3 (/ (+ (* -1/18 (* (sqrt (/ a (pow c 3))) (/ (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3)))) (sqrt 1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt 1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (pow b 3) (sqrt 3)))))))) (pow a 2)))))) |
(* -1/3 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (pow b 2)))) |
(+ (* -1/3 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (pow b 2)))) (* -1/3 (/ (+ (* -1/18 (* (sqrt (/ a (pow c 3))) (/ (* (sqrt -1) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1)))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))))) (pow a 2)))) |
(+ (* -1/3 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (pow b 2)))) (+ (* -1/3 (/ (+ (* -1/18 (* (sqrt (/ a (pow c 3))) (/ (* (sqrt -1) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1)))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))))) (pow a 2))) (* -1/162 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 2) (* (sqrt -1) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3)))))) |
(+ (* -1 (/ (+ (* 1/162 (* (sqrt (/ a (pow c 5))) (/ (* (pow b 2) (* (sqrt -1) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3)))) (* 1/3 (/ (+ (* -1/2 (* (sqrt (* a c)) (/ (* (sqrt -1) (* (+ (* -1/324 (/ (* a (pow b 4)) (* (pow c 3) (pow (sqrt -1/3) 2)))) (* 1/81 (/ (pow b 6) (pow c 4)))) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (* (pow b 2) (sqrt -1/3))))) (+ (* -1/18 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (* (sqrt -1) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (- (* -1/8 (/ (pow b 8) (* (pow c 3) (pow (sqrt -9) 3)))) (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 5) (sqrt -1)) (pow (sqrt -3) 3)))))))))) a))) (pow a 3))) (+ (* -1/3 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (pow b 2)))) (* -1/3 (/ (+ (* -1/18 (* (sqrt (/ a (pow c 3))) (/ (* (sqrt -1) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1)))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))))) (pow a 2))))) |
(* -1/2 (/ c b)) |
(* c (- (* 1/3 (* c (- (+ (* -9/2 (/ a (pow b 3))) (* 9/4 (/ a (pow b 3)))) (* -9/8 (/ a (pow b 3)))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* 1/3 (* c (+ (* -27/16 (/ (pow a 2) (pow b 5))) (+ (* -3/2 (/ (* a (- (* -9/2 (/ a (pow b 2))) (* -9/8 (/ a (pow b 2))))) (pow b 3))) (* 3/4 (* b (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6)))))))))) (* 1/3 (- (+ (* -9/2 (/ a (pow b 3))) (* 9/4 (/ a (pow b 3)))) (* -9/8 (/ a (pow b 3))))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* 1/3 (- (+ (* -9/2 (/ a (pow b 3))) (* 9/4 (/ a (pow b 3)))) (* -9/8 (/ a (pow b 3))))) (* c (+ (* 1/3 (* c (- (+ (* -81/8 (/ (pow a 3) (pow b 7))) (+ (* -1/2 (* b (* (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6)))) (- (* -9/2 (/ a (pow b 2))) (* -9/8 (/ a (pow b 2))))))) (+ (* 3/4 (* b (+ (* 3/2 (/ (* a (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6))))) (pow b 2))) (* 27 (/ (pow a 3) (pow b 8)))))) (* 81/32 (/ (pow a 3) (pow b 7)))))) (* -1/2 (/ (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6)))) (* a b)))))) (* 1/3 (+ (* -27/16 (/ (pow a 2) (pow b 5))) (+ (* -3/2 (/ (* a (- (* -9/2 (/ a (pow b 2))) (* -9/8 (/ a (pow b 2))))) (pow b 3))) (* 3/4 (* b (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6))))))))))))) (* 1/2 (/ 1 b)))) |
(* 1/3 (* (sqrt (/ c (pow a 3))) (/ (* (sqrt 1/3) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3))))) (pow b 2)))) |
(* c (+ (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (sqrt 1/3) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3))))) (pow b 2)))) (* 1/3 (/ (+ (* -1/18 (* (sqrt (/ c (pow a 5))) (/ (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3)))) (sqrt 1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt 1/3) (- (* 1/2 (/ (pow b 4) (* (pow a 2) (sqrt -9)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (pow b 3) (sqrt 3)))))))) (pow c 2))))) |
(* c (+ (* 1/162 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 2) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3))))) (sqrt 1/3)))) (+ (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (sqrt 1/3) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3))))) (pow b 2)))) (* 1/3 (/ (+ (* -1/18 (* (sqrt (/ c (pow a 5))) (/ (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3)))) (sqrt 1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt 1/3) (- (* 1/2 (/ (pow b 4) (* (pow a 2) (sqrt -9)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (pow b 3) (sqrt 3)))))))) (pow c 2)))))) |
(* c (+ (* 1/162 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 2) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3))))) (sqrt 1/3)))) (+ (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (sqrt 1/3) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3))))) (pow b 2)))) (+ (* 1/3 (/ (+ (* -1/2 (* (sqrt (/ c a)) (/ (* (+ (* 1/324 (/ (* (pow b 4) c) (* (pow a 3) (pow (sqrt 1/3) 2)))) (* 1/81 (/ (pow b 6) (pow a 4)))) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3))))) (* (pow b 2) (sqrt 1/3))))) (+ (* -1/18 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (- (* 1/2 (/ (pow b 4) (* (pow a 2) (sqrt -9)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (pow b 3) (sqrt 3)))))) (sqrt 1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt 1/3) (- (* -1/8 (/ (pow b 8) (* (pow a 4) (pow (sqrt -9) 3)))) (* -1/8 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 5) (pow (sqrt 3) 3))))))))) (pow c 4))) (* 1/3 (/ (+ (* -1/18 (* (sqrt (/ c (pow a 5))) (/ (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3)))) (sqrt 1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt 1/3) (- (* 1/2 (/ (pow b 4) (* (pow a 2) (sqrt -9)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (pow b 3) (sqrt 3)))))))) (pow c 2))))))) |
(* -1/3 (* (sqrt (/ c (pow a 3))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (pow b 2)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (pow b 2)))) (* 1/3 (/ (+ (* -1/18 (* (sqrt (/ c (pow a 5))) (/ (* (sqrt -1) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1)))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* (pow a 2) (sqrt -9)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))))) (pow c 2)))))) |
(* -1 (* c (+ (* 1/162 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 2) (* (sqrt -1) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3)))) (+ (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (pow b 2)))) (* 1/3 (/ (+ (* -1/18 (* (sqrt (/ c (pow a 5))) (/ (* (sqrt -1) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1)))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* (pow a 2) (sqrt -9)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))))) (pow c 2))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ (+ (* -1/2 (* (sqrt (/ c a)) (/ (* (sqrt -1) (* (+ (* -1/324 (/ (* (pow b 4) c) (* (pow a 3) (pow (sqrt -1/3) 2)))) (* 1/81 (/ (pow b 6) (pow a 4)))) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (* (pow b 2) (sqrt -1/3))))) (+ (* -1/18 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (* (sqrt -1) (- (* 1/2 (/ (pow b 4) (* (pow a 2) (sqrt -9)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (- (* -1/8 (/ (pow b 8) (* (pow a 4) (pow (sqrt -9) 3)))) (* -1/8 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 5) (sqrt -1)) (pow (sqrt -3) 3)))))))))) c)) (* -1/162 (* (sqrt (/ c (pow a 7))) (/ (* (pow b 2) (* (sqrt -1) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3))))) (pow c 3))) (+ (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (pow b 2)))) (* 1/3 (/ (+ (* -1/18 (* (sqrt (/ c (pow a 5))) (/ (* (sqrt -1) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1)))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* (pow a 2) (sqrt -9)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))))) (pow c 2))))))) |
(* 1/3 (* (sqrt (/ c a)) (* (sqrt -9) (sqrt 1/3)))) |
(+ (* -1/3 (/ (* b (* (sqrt 1/3) (sqrt 3))) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -9) (sqrt 1/3))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (* (sqrt -9) (sqrt 1/3)))) (* b (+ (* -1/3 (/ (* (sqrt 1/3) (sqrt 3)) a)) (* -1/54 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* b (sqrt -9)) (sqrt 1/3))))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (* (sqrt -9) (sqrt 1/3)))) (* b (+ (* -1/3 (/ (* (sqrt 1/3) (sqrt 3)) a)) (* b (+ (* -1/54 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (sqrt -9) (sqrt 1/3)))) (* 1/3 (* b (+ (* -1/2 (/ (sqrt 1/3) (* (pow a 2) (* c (sqrt 3))))) (* 1/18 (/ (sqrt 3) (* (pow a 2) (* c (sqrt 1/3))))))))))))) |
(* -1/2 (/ c b)) |
(/ (+ (* -1/2 c) (* 1/3 (/ (- (+ (* -9/2 (* a (pow c 2))) (* 9/4 (* a (pow c 2)))) (* -9/8 (* a (pow c 2)))) (pow b 2)))) b) |
(/ (+ (* -1/2 c) (+ (* 1/3 (/ (+ (* -27/16 (* (pow a 2) (pow c 3))) (+ (* -3/2 (* a (* c (- (* -9/2 (* a (pow c 2))) (* -9/8 (* a (pow c 2))))))) (* 3/4 (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))))))) (pow b 4))) (* 1/3 (/ (- (+ (* -9/2 (* a (pow c 2))) (* 9/4 (* a (pow c 2)))) (* -9/8 (* a (pow c 2)))) (pow b 2))))) b) |
(/ (+ (* -1/2 c) (+ (* 1/3 (/ (+ (* -27/16 (* (pow a 2) (pow c 3))) (+ (* -3/2 (* a (* c (- (* -9/2 (* a (pow c 2))) (* -9/8 (* a (pow c 2))))))) (* 3/4 (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))))))) (pow b 4))) (+ (* 1/3 (/ (- (+ (* -81/8 (* (pow a 3) (pow c 4))) (+ (* -1/2 (* (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) (- (* -9/2 (* a (pow c 2))) (* -9/8 (* a (pow c 2)))))) (+ (* 3/4 (* c (+ (* 3/2 (* a (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2))))))) (* 27 (* (pow a 3) (pow c 3)))))) (* 81/32 (* (pow a 3) (pow c 4)))))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) a))) (pow b 6))) (* 1/3 (/ (- (+ (* -9/2 (* a (pow c 2))) (* 9/4 (* a (pow c 2)))) (* -9/8 (* a (pow c 2)))) (pow b 2)))))) b) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* 1/3 (/ (+ (* -3 c) (* 3/2 c)) (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* 1/3 (/ (+ (* -3 c) (* 3/2 c)) (pow b 2))) (+ (* 1/3 (/ (- (+ (* -9/2 (* a (pow c 2))) (+ (* -9/4 (* a (pow c 2))) (* -1 (/ (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) a)))) (* 9/8 (* a (pow c 2)))) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* 1/3 (/ (+ (* -3 c) (* 3/2 c)) (pow b 2))) (+ (* 1/3 (/ (+ (* -3/2 (* a (* c (- (* -9/2 (* a (pow c 2))) (* 9/8 (* a (pow c 2))))))) (+ (* -1 (/ (+ (* 3/2 (* a (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2))))))) (* 27 (* (pow a 3) (pow c 3)))) a)) (+ (* -3/4 (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))))) (* 27/16 (* (pow a 2) (pow c 3)))))) (pow b 6))) (+ (* 1/3 (/ (- (+ (* -9/2 (* a (pow c 2))) (+ (* -9/4 (* a (pow c 2))) (* -1 (/ (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) a)))) (* 9/8 (* a (pow c 2)))) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(pow b 4) |
(+ (* -9/2 (* (pow a 2) (pow c 2))) (pow b 4)) |
(+ (* (pow a 2) (+ (* -81/8 (/ (* (pow a 2) (pow c 4)) (pow b 4))) (* -9/2 (pow c 2)))) (pow b 4)) |
(+ (* (pow a 2) (+ (* -9/2 (pow c 2)) (* (pow a 2) (+ (* -729/16 (/ (* (pow a 2) (pow c 6)) (pow b 8))) (* -81/8 (/ (pow c 4) (pow b 4))))))) (pow b 4)) |
(* a (* (pow b 2) (* c (sqrt -9)))) |
(* a (+ (* 1/2 (/ (pow b 6) (* (pow a 2) (* c (sqrt -9))))) (* (pow b 2) (* c (sqrt -9))))) |
(* a (+ (* -1/8 (/ (pow b 10) (* (pow a 4) (* (pow c 3) (pow (sqrt -9) 3))))) (+ (* 1/2 (/ (pow b 6) (* (pow a 2) (* c (sqrt -9))))) (* (pow b 2) (* c (sqrt -9)))))) |
(* a (+ (* -1/8 (/ (pow b 10) (* (pow a 4) (* (pow c 3) (pow (sqrt -9) 3))))) (+ (* 1/16 (/ (pow b 14) (* (pow a 6) (* (pow c 5) (pow (sqrt -9) 5))))) (+ (* 1/2 (/ (pow b 6) (* (pow a 2) (* c (sqrt -9))))) (* (pow b 2) (* c (sqrt -9))))))) |
(* -1 (* a (* (pow b 2) (* c (sqrt -9))))) |
(* -1 (* a (+ (* 1/2 (/ (pow b 6) (* (pow a 2) (* c (sqrt -9))))) (* (pow b 2) (* c (sqrt -9)))))) |
(* -1 (* a (+ (* -1/8 (/ (pow b 10) (* (pow a 4) (* (pow c 3) (pow (sqrt -9) 3))))) (+ (* 1/2 (/ (pow b 6) (* (pow a 2) (* c (sqrt -9))))) (* (pow b 2) (* c (sqrt -9))))))) |
(* -1 (* a (+ (* -1/8 (/ (pow b 10) (* (pow a 4) (* (pow c 3) (pow (sqrt -9) 3))))) (+ (* 1/16 (/ (pow b 14) (* (pow a 6) (* (pow c 5) (pow (sqrt -9) 5))))) (+ (* 1/2 (/ (pow b 6) (* (pow a 2) (* c (sqrt -9))))) (* (pow b 2) (* c (sqrt -9)))))))) |
(pow b 4) |
(+ (* -9/2 (* (pow a 2) (pow c 2))) (pow b 4)) |
(+ (* (pow c 2) (+ (* -81/8 (/ (* (pow a 4) (pow c 2)) (pow b 4))) (* -9/2 (pow a 2)))) (pow b 4)) |
(+ (* (pow c 2) (+ (* -9/2 (pow a 2)) (* (pow c 2) (+ (* -729/16 (/ (* (pow a 6) (pow c 2)) (pow b 8))) (* -81/8 (/ (pow a 4) (pow b 4))))))) (pow b 4)) |
(* a (* (pow b 2) (* c (sqrt -9)))) |
(* c (+ (* 1/2 (/ (pow b 6) (* a (* (pow c 2) (sqrt -9))))) (* a (* (pow b 2) (sqrt -9))))) |
(* c (+ (* -1/8 (/ (pow b 10) (* (pow a 3) (* (pow c 4) (pow (sqrt -9) 3))))) (+ (* 1/2 (/ (pow b 6) (* a (* (pow c 2) (sqrt -9))))) (* a (* (pow b 2) (sqrt -9)))))) |
(* c (+ (* -1/8 (/ (pow b 10) (* (pow a 3) (* (pow c 4) (pow (sqrt -9) 3))))) (+ (* 1/16 (/ (pow b 14) (* (pow a 5) (* (pow c 6) (pow (sqrt -9) 5))))) (+ (* 1/2 (/ (pow b 6) (* a (* (pow c 2) (sqrt -9))))) (* a (* (pow b 2) (sqrt -9))))))) |
(* -1 (* a (* (pow b 2) (* c (sqrt -9))))) |
(* -1 (* c (+ (* 1/2 (/ (pow b 6) (* a (* (pow c 2) (sqrt -9))))) (* a (* (pow b 2) (sqrt -9)))))) |
(* -1 (* c (+ (* -1/8 (/ (pow b 10) (* (pow a 3) (* (pow c 4) (pow (sqrt -9) 3))))) (+ (* 1/2 (/ (pow b 6) (* a (* (pow c 2) (sqrt -9))))) (* a (* (pow b 2) (sqrt -9))))))) |
(* -1 (* c (+ (* -1/8 (/ (pow b 10) (* (pow a 3) (* (pow c 4) (pow (sqrt -9) 3))))) (+ (* 1/16 (/ (pow b 14) (* (pow a 5) (* (pow c 6) (pow (sqrt -9) 5))))) (+ (* 1/2 (/ (pow b 6) (* a (* (pow c 2) (sqrt -9))))) (* a (* (pow b 2) (sqrt -9)))))))) |
(* a (* (pow b 2) (* c (sqrt -9)))) |
(* (pow b 2) (+ (* 1/2 (/ (pow b 4) (* a (* c (sqrt -9))))) (* a (* c (sqrt -9))))) |
(* (pow b 2) (+ (* a (* c (sqrt -9))) (* (pow b 4) (+ (* -1/8 (/ (pow b 4) (* (pow a 3) (* (pow c 3) (pow (sqrt -9) 3))))) (* 1/2 (/ 1 (* a (* c (sqrt -9))))))))) |
(* (pow b 2) (+ (* a (* c (sqrt -9))) (* (pow b 4) (+ (* (pow b 4) (- (* 1/16 (/ (pow b 4) (* (pow a 5) (* (pow c 5) (pow (sqrt -9) 5))))) (* 1/8 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -9) 3))))))) (* 1/2 (/ 1 (* a (* c (sqrt -9))))))))) |
(pow b 4) |
(* (pow b 4) (+ 1 (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))) |
(* (pow b 4) (+ 1 (+ (* -81/8 (/ (* (pow a 4) (pow c 4)) (pow b 8))) (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* (pow b 4) (+ 1 (+ (* -729/16 (/ (* (pow a 6) (pow c 6)) (pow b 12))) (+ (* -81/8 (/ (* (pow a 4) (pow c 4)) (pow b 8))) (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(pow b 4) |
(* (pow b 4) (+ 1 (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))) |
(* (pow b 4) (+ 1 (+ (* -81/8 (/ (* (pow a 4) (pow c 4)) (pow b 8))) (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* (pow b 4) (+ 1 (+ (* -729/16 (/ (* (pow a 6) (pow c 6)) (pow b 12))) (+ (* -81/8 (/ (* (pow a 4) (pow c 4)) (pow b 8))) (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(* -1/2 (/ c b)) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* -1/2 (/ c b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(pow b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(* -3 (* a c)) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(* -3 (* a c)) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(pow b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(* -3 (* a c)) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(* -3 (* a c)) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
(* -3 (* a c)) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(+ b (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))))) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (+ 1 (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))) (* (sqrt (* a c)) (sqrt -3))) |
(* 2 b) |
(* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))) |
(* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* 3/2 (/ (* a c) b)) |
(* -1 (/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)) |
(* 2 b) |
(+ (* -3/2 (/ (* a c) b)) (* 2 b)) |
(+ (* 2 b) (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ (* 2 b) (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* a (+ (* (sqrt (/ c a)) (sqrt -3)) (/ b a))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ c a)) (sqrt -3)) (/ b a)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ c a)) (sqrt -3)) (/ b a))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1 (/ (+ b (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* 2 b) |
(+ (* -3/2 (/ (* a c) b)) (* 2 b)) |
(+ (* 2 b) (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ (* 2 b) (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* c (+ (* (sqrt (/ a c)) (sqrt -3)) (/ b c))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ a c)) (sqrt -3)) (/ b c)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ a c)) (sqrt -3)) (/ b c))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (+ b (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(pow b 4) |
(+ (* 3/2 (* a (* (pow b 2) c))) (pow b 4)) |
(+ (* a (+ (* -9/8 (* a (pow c 2))) (* 3/2 (* (pow b 2) c)))) (pow b 4)) |
(+ (* a (+ (* 3/2 (* (pow b 2) c)) (* a (+ (* -9/8 (pow c 2)) (* 27/16 (/ (* a (pow c 3)) (pow b 2))))))) (pow b 4)) |
(* (sqrt (* a c)) (* (pow b 3) (sqrt 3))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 5) (sqrt 3)))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 7) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 5) (sqrt 3)))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3)))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 7) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 9) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 5) (sqrt 3)))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3))))))) |
(* -1 (* (sqrt (* a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 5) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 7) (sqrt -1)) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 5) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1)))))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 7) (sqrt -1)) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 9) (sqrt -1)) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 5) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))))) |
(pow b 4) |
(+ (* 3/2 (* a (* (pow b 2) c))) (pow b 4)) |
(+ (* c (+ (* -9/8 (* (pow a 2) c)) (* 3/2 (* a (pow b 2))))) (pow b 4)) |
(+ (* c (+ (* 3/2 (* a (pow b 2))) (* c (+ (* -9/8 (pow a 2)) (* 27/16 (/ (* (pow a 3) c) (pow b 2))))))) (pow b 4)) |
(* (sqrt (* a c)) (* (pow b 3) (sqrt 3))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 5) (sqrt 3)))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 7) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 5) (sqrt 3)))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3)))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 7) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 9) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 5) (sqrt 3)))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3))))))) |
(* -1 (* (sqrt (* a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 5) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 7) (sqrt -1)) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 5) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1)))))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 7) (sqrt -1)) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 9) (sqrt -1)) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 5) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))))) |
(* (sqrt (* a c)) (* (pow b 3) (sqrt 3))) |
(* (pow b 3) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt 3)))) (* (sqrt (* a c)) (sqrt 3)))) |
(* (pow b 3) (+ (* (sqrt (* a c)) (sqrt 3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt 3)))))))) |
(* (pow b 3) (+ (* (sqrt (* a c)) (sqrt 3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt 3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt 3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt 3) 5)))))))))) |
(pow b 4) |
(* (pow b 4) (+ 1 (* 3/2 (/ (* a c) (pow b 2))))) |
(* (pow b 4) (+ 1 (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 3/2 (/ (* a c) (pow b 2)))))) |
(* (pow b 4) (+ 1 (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* 3/2 (/ (* a c) (pow b 2))) (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))))))) |
(* -1 (pow b 4)) |
(* (pow b 4) (- (* -3/2 (/ (* a c) (pow b 2))) 1)) |
(* (pow b 4) (- (+ (* -3/2 (/ (* a c) (pow b 2))) (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) 1)) |
(* (pow b 4) (- (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))) 1)) |
| Outputs |
|---|
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(/.f64 (*.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(/.f64 (*.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(/.f64 (*.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(/.f64 (*.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(/.f64 (*.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(/.f64 (*.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(/.f64 (*.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(/.f64 (*.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(/.f64 (*.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
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b |
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(fma.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 a c) b) b) |
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) |
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(* (sqrt (* a c)) (sqrt -3)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) |
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(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))) |
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(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))) |
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(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(neg.f64 (*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
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(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
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b |
(+ b (* -3/2 (/ (* a c) b))) |
(fma.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 a c) b) b) |
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))) |
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(* (sqrt (* a c)) (sqrt -3)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) |
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(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))) |
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(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))) |
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(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(neg.f64 (*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(neg.f64 (*.f64 c (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(neg.f64 (*.f64 c (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
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(* (sqrt (* a c)) (sqrt -3)) |
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(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3))) |
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(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))))) |
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(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5))))))))) |
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b |
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))) |
(*.f64 b (fma.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 1 binary64))) |
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
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(* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
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(* -1 b) |
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(* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
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(* 3 (* a c)) |
(*.f64 #s(literal 3 binary64) (*.f64 a c)) |
(* 3 (* a c)) |
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(* 3 (* a c)) |
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(* 3 (* a c)) |
(*.f64 #s(literal 3 binary64) (*.f64 a c)) |
(* 3 (* a c)) |
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(* 3 (* a c)) |
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(* 3 (* a c)) |
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(* 3 (* a c)) |
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(* 3 (* a c)) |
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(* 3 (* a c)) |
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(* 3 (* a c)) |
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(* 3 (* a c)) |
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(* 3 (* a c)) |
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(* 3 (* a c)) |
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(* 3 (* a c)) |
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(* 3 (* a c)) |
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(* 3 (* a c)) |
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(* 3 (* a c)) |
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(* 3 (* a c)) |
(*.f64 #s(literal 3 binary64) (*.f64 a c)) |
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(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
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(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
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(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/.f64 (*.f64 (*.f64 a a) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/.f64 (*.f64 (*.f64 a a) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/.f64 (*.f64 (*.f64 a a) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/.f64 (*.f64 (*.f64 a a) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/.f64 (*.f64 (*.f64 a a) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/.f64 (*.f64 (*.f64 a a) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/.f64 (*.f64 (*.f64 a a) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/.f64 (*.f64 (*.f64 a a) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/.f64 (*.f64 (*.f64 a a) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/.f64 (*.f64 (*.f64 a a) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
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(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/.f64 (*.f64 (*.f64 a a) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/.f64 (*.f64 (*.f64 a a) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/.f64 (*.f64 (*.f64 a a) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/.f64 (*.f64 (*.f64 a a) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/.f64 (*.f64 (*.f64 a a) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/.f64 (*.f64 (*.f64 a a) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
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(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/.f64 (*.f64 (*.f64 a a) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/.f64 (*.f64 (*.f64 a a) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/.f64 (*.f64 (*.f64 a a) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/.f64 (*.f64 (*.f64 a a) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/.f64 (*.f64 (*.f64 a a) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/.f64 (*.f64 (*.f64 a a) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/.f64 (*.f64 (*.f64 a a) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/.f64 (*.f64 (*.f64 a a) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/.f64 (*.f64 (*.f64 a a) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/.f64 (*.f64 (*.f64 a a) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/.f64 (*.f64 (*.f64 a a) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/.f64 (*.f64 (*.f64 a a) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/.f64 (*.f64 (*.f64 a a) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/.f64 (*.f64 (*.f64 a a) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/.f64 (*.f64 (*.f64 a a) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/.f64 (*.f64 (*.f64 a a) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/.f64 (*.f64 (*.f64 a a) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))) |
(/ (* (pow a 2) (pow c 3)) (pow b 4)) |
(/.f64 (*.f64 (*.f64 a a) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))) |
(pow b 2) |
(*.f64 b b) |
(+ (* -3 (* a c)) (pow b 2)) |
(fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) |
(+ (* -3 (* a c)) (pow b 2)) |
(fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) |
(+ (* -3 (* a c)) (pow b 2)) |
(fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) |
(* -3 (* a c)) |
(*.f64 #s(literal -3 binary64) (*.f64 a c)) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
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(* a (+ (* -3 c) (/ (pow b 2) a))) |
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(* a (+ (* -3 c) (/ (pow b 2) a))) |
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(* -3 (* a c)) |
(*.f64 #s(literal -3 binary64) (*.f64 a c)) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(neg.f64 (*.f64 a (fma.f64 #s(literal 3 binary64) c (neg.f64 (/.f64 (*.f64 b b) a))))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(neg.f64 (*.f64 a (fma.f64 #s(literal 3 binary64) c (neg.f64 (/.f64 (*.f64 b b) a))))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(neg.f64 (*.f64 a (fma.f64 #s(literal 3 binary64) c (neg.f64 (/.f64 (*.f64 b b) a))))) |
(pow b 2) |
(*.f64 b b) |
(+ (* -3 (* a c)) (pow b 2)) |
(fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) |
(+ (* -3 (* a c)) (pow b 2)) |
(fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) |
(+ (* -3 (* a c)) (pow b 2)) |
(fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) |
(* -3 (* a c)) |
(*.f64 #s(literal -3 binary64) (*.f64 a c)) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(*.f64 c (fma.f64 #s(literal -3 binary64) a (/.f64 (*.f64 b b) c))) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(*.f64 c (fma.f64 #s(literal -3 binary64) a (/.f64 (*.f64 b b) c))) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(*.f64 c (fma.f64 #s(literal -3 binary64) a (/.f64 (*.f64 b b) c))) |
(* -3 (* a c)) |
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(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
(neg.f64 (*.f64 c (fma.f64 #s(literal 3 binary64) a (neg.f64 (/.f64 (*.f64 b b) c))))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
(neg.f64 (*.f64 c (fma.f64 #s(literal 3 binary64) a (neg.f64 (/.f64 (*.f64 b b) c))))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
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(* -3 (* a c)) |
(*.f64 #s(literal -3 binary64) (*.f64 a c)) |
(+ (* -3 (* a c)) (pow b 2)) |
(fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) |
(+ (* -3 (* a c)) (pow b 2)) |
(fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) |
(+ (* -3 (* a c)) (pow b 2)) |
(fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) |
(pow b 2) |
(*.f64 b b) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 #s(literal -3 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 1 binary64))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 #s(literal -3 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 1 binary64))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 #s(literal -3 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 1 binary64))) |
(pow b 2) |
(*.f64 b b) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 #s(literal -3 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 1 binary64))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 #s(literal -3 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 1 binary64))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 #s(literal -3 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 1 binary64))) |
(* (sqrt (* a c)) (sqrt -3)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64))) |
(+ b (* (sqrt (* a c)) (sqrt -3))) |
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64)) b) |
(+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))))) (* (sqrt (* a c)) (sqrt -3))) |
(fma.f64 b (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64)))) |
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(* 2 b) |
(*.f64 #s(literal 2 binary64) b) |
(* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))) |
(*.f64 b (fma.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 2 binary64))) |
(* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(*.f64 b (+.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))))) |
(* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
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(* 3/2 (/ (* a c) b)) |
(/.f64 (*.f64 #s(literal 3/2 binary64) (*.f64 a c)) b) |
(* -1 (/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)) |
(neg.f64 (/.f64 (fma.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 b b))) (*.f64 #s(literal -3/2 binary64) (*.f64 a c))) b)) |
(* -1 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)) |
(neg.f64 (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 b b))) (*.f64 #s(literal -3/2 binary64) (*.f64 a c)))) b)) |
(* -1 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)) |
(neg.f64 (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -3/2 binary64) (*.f64 a c) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 c c)) (*.f64 b b))))) b)) |
(* 2 b) |
(*.f64 #s(literal 2 binary64) b) |
(+ (* -3/2 (/ (* a c) b)) (* 2 b)) |
(fma.f64 #s(literal 2 binary64) b (*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 a c) b))) |
(+ (* 2 b) (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) |
(fma.f64 a (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 #s(literal -3/2 binary64) c) b)) (*.f64 #s(literal 2 binary64) b)) |
(+ (* 2 b) (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) |
(fma.f64 a (fma.f64 a (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -3/2 binary64) c) b)) (*.f64 #s(literal 2 binary64) b)) |
(* (sqrt (* a c)) (sqrt -3)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64))) |
(* a (+ (* (sqrt (/ c a)) (sqrt -3)) (/ b a))) |
(*.f64 a (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 b a))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ c a)) (sqrt -3)) (/ b a)))) |
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(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ c a)) (sqrt -3)) (/ b a))))) |
(*.f64 a (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) c))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64)))) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 b a))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(neg.f64 (*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))))) |
(* -1 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
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(* -1 (* a (+ (* -1 (/ (+ b (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(neg.f64 (*.f64 a (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))) b) a))))) |
(* -1 (* a (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(neg.f64 (*.f64 a (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (neg.f64 (/.f64 (+.f64 b (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))) (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64)))))) a))) a))))) |
(* 2 b) |
(*.f64 #s(literal 2 binary64) b) |
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(fma.f64 #s(literal 2 binary64) b (*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 a c) b))) |
(+ (* 2 b) (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))) |
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(+ (* 2 b) (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))) |
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(* (sqrt (* a c)) (sqrt -3)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64))) |
(* c (+ (* (sqrt (/ a c)) (sqrt -3)) (/ b c))) |
(*.f64 c (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 b c))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ a c)) (sqrt -3)) (/ b c)))) |
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(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ a c)) (sqrt -3)) (/ b c))))) |
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(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(neg.f64 (*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))))) |
(* -1 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
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(* -1 (* c (+ (* -1 (/ (+ b (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(neg.f64 (*.f64 c (fma.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))) b) c))))) |
(* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(neg.f64 (*.f64 c (fma.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (neg.f64 (/.f64 (+.f64 b (neg.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) c))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 c a))) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))))) c))) c))))) |
(pow b 4) |
(pow.f64 b #s(literal 4 binary64)) |
(+ (* 3/2 (* a (* (pow b 2) c))) (pow b 4)) |
(fma.f64 #s(literal 3/2 binary64) (*.f64 a (*.f64 (*.f64 b b) c)) (pow.f64 b #s(literal 4 binary64))) |
(+ (* a (+ (* -9/8 (* a (pow c 2))) (* 3/2 (* (pow b 2) c)))) (pow b 4)) |
(fma.f64 a (fma.f64 #s(literal 3/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 (*.f64 #s(literal -9/8 binary64) a) (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))) |
(+ (* a (+ (* 3/2 (* (pow b 2) c)) (* a (+ (* -9/8 (pow c 2)) (* 27/16 (/ (* a (pow c 3)) (pow b 2))))))) (pow b 4)) |
(fma.f64 a (fma.f64 a (fma.f64 #s(literal 27/16 binary64) (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) (*.f64 #s(literal -9/8 binary64) (*.f64 c c))) (*.f64 #s(literal 3/2 binary64) (*.f64 (*.f64 b b) c))) (pow.f64 b #s(literal 4 binary64))) |
(* (sqrt (* a c)) (* (pow b 3) (sqrt 3))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 b (*.f64 b b))) (sqrt.f64 #s(literal 3 binary64))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 5) (sqrt 3)))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3))))) |
(*.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) c))) (/.f64 (pow.f64 b #s(literal 5 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b (*.f64 b b))) (sqrt.f64 #s(literal 3 binary64))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 7) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 5) (sqrt 3)))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3)))))) |
(*.f64 a (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (/.f64 (pow.f64 b #s(literal 7 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) c))) (/.f64 (pow.f64 b #s(literal 5 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b (*.f64 b b))) (sqrt.f64 #s(literal 3 binary64)))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 7) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 9) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 5) (sqrt 3)))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3))))))) |
(*.f64 a (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (/.f64 (pow.f64 b #s(literal 7 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64))))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 7 binary64)) (pow.f64 c #s(literal 5 binary64)))))) (/.f64 (pow.f64 b #s(literal 9 binary64)) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 5 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) c))) (/.f64 (pow.f64 b #s(literal 5 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b (*.f64 b b))) (sqrt.f64 #s(literal 3 binary64))))))) |
(* -1 (* (sqrt (* a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))) |
(neg.f64 (*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 5) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) |
(neg.f64 (*.f64 a (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) c))) (*.f64 (pow.f64 b #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b (*.f64 b b))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -1 binary64))))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 7) (sqrt -1)) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 5) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1)))))))) |
(neg.f64 (*.f64 a (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c)))))) (/.f64 (*.f64 (pow.f64 b #s(literal 7 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) c))) (*.f64 (pow.f64 b #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b (*.f64 b b))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 7) (sqrt -1)) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 9) (sqrt -1)) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 5) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))))) |
(neg.f64 (*.f64 a (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (/.f64 (*.f64 (pow.f64 b #s(literal 7 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64))))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 7 binary64)) (pow.f64 c #s(literal 5 binary64))))) (/.f64 (*.f64 (pow.f64 b #s(literal 9 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) c))) (*.f64 (pow.f64 b #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b (*.f64 b b))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))) |
(pow b 4) |
(pow.f64 b #s(literal 4 binary64)) |
(+ (* 3/2 (* a (* (pow b 2) c))) (pow b 4)) |
(fma.f64 #s(literal 3/2 binary64) (*.f64 a (*.f64 (*.f64 b b) c)) (pow.f64 b #s(literal 4 binary64))) |
(+ (* c (+ (* -9/8 (* (pow a 2) c)) (* 3/2 (* a (pow b 2))))) (pow b 4)) |
(fma.f64 c (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) c (*.f64 #s(literal 3/2 binary64) (*.f64 a (*.f64 b b)))) (pow.f64 b #s(literal 4 binary64))) |
(+ (* c (+ (* 3/2 (* a (pow b 2))) (* c (+ (* -9/8 (pow a 2)) (* 27/16 (/ (* (pow a 3) c) (pow b 2))))))) (pow b 4)) |
(fma.f64 c (fma.f64 c (fma.f64 #s(literal 27/16 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) c) (*.f64 b b)) (*.f64 #s(literal -9/8 binary64) (*.f64 a a))) (*.f64 #s(literal 3/2 binary64) (*.f64 a (*.f64 b b)))) (pow.f64 b #s(literal 4 binary64))) |
(* (sqrt (* a c)) (* (pow b 3) (sqrt 3))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 b (*.f64 b b))) (sqrt.f64 #s(literal 3 binary64))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 5) (sqrt 3)))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3))))) |
(*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))) (/.f64 (pow.f64 b #s(literal 5 binary64)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (*.f64 b (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64)))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 7) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 5) (sqrt 3)))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3)))))) |
(*.f64 c (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (/.f64 (pow.f64 b #s(literal 7 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64))))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))) (/.f64 (pow.f64 b #s(literal 5 binary64)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (*.f64 b (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 7) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 9) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 5) (sqrt 3)))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3))))))) |
(*.f64 c (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (/.f64 (pow.f64 b #s(literal 7 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64))))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64))))) (/.f64 (pow.f64 b #s(literal 9 binary64)) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))) (/.f64 (pow.f64 b #s(literal 5 binary64)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (*.f64 b (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64)))))))) |
(* -1 (* (sqrt (* a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))) |
(neg.f64 (*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 5) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) |
(neg.f64 (*.f64 c (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (/.f64 (*.f64 (pow.f64 b #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 7) (sqrt -1)) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 5) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1)))))))) |
(neg.f64 (*.f64 c (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (*.f64 (pow.f64 b #s(literal 7 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (/.f64 (*.f64 (pow.f64 b #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 7) (sqrt -1)) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 9) (sqrt -1)) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 5) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))))) |
(neg.f64 (*.f64 c (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (*.f64 (pow.f64 b #s(literal 7 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64))))) (*.f64 (pow.f64 b #s(literal 9 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (/.f64 (*.f64 (pow.f64 b #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))))) |
(* (sqrt (* a c)) (* (pow b 3) (sqrt 3))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 b (*.f64 b b))) (sqrt.f64 #s(literal 3 binary64))) |
(* (pow b 3) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt 3)))) (* (sqrt (* a c)) (sqrt 3)))) |
(*.f64 (*.f64 b (*.f64 b b)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal 3 binary64))))) |
(* (pow b 3) (+ (* (sqrt (* a c)) (sqrt 3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt 3)))))))) |
(*.f64 (*.f64 b (*.f64 b b)) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c)))))) (/.f64 (*.f64 b b) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal 3 binary64))))) |
(* (pow b 3) (+ (* (sqrt (* a c)) (sqrt 3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt 3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt 3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt 3) 5)))))))))) |
(*.f64 (*.f64 b (*.f64 b b)) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))))) (sqrt.f64 #s(literal 3 binary64))) #s(literal 1/3 binary64)) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64))))) (/.f64 (*.f64 b b) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 5 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal 3 binary64))))) |
(pow b 4) |
(pow.f64 b #s(literal 4 binary64)) |
(* (pow b 4) (+ 1 (* 3/2 (/ (* a c) (pow b 2))))) |
(*.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 #s(literal 3/2 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 1 binary64))) |
(* (pow b 4) (+ 1 (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 3/2 (/ (* a c) (pow b 2)))))) |
(*.f64 (pow.f64 b #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal 3/2 binary64) (*.f64 a c)) (*.f64 b b))))) |
(* (pow b 4) (+ 1 (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* 3/2 (/ (* a c) (pow b 2))) (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))))))) |
(*.f64 (pow.f64 b #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal 27/16 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 6 binary64))) (/.f64 (*.f64 #s(literal 3/2 binary64) (*.f64 a c)) (*.f64 b b)))))) |
(* -1 (pow b 4)) |
(neg.f64 (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 4) (- (* -3/2 (/ (* a c) (pow b 2))) 1)) |
(*.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1 binary64))) |
(* (pow b 4) (- (+ (* -3/2 (/ (* a c) (pow b 2))) (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) 1)) |
(*.f64 (pow.f64 b #s(literal 4 binary64)) (+.f64 (fma.f64 #s(literal 9/8 binary64) (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 a c)) (*.f64 b b))) #s(literal -1 binary64))) |
(* (pow b 4) (- (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))) 1)) |
(*.f64 (pow.f64 b #s(literal 4 binary64)) (+.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal 9/8 binary64) (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 a c)) (*.f64 b b)))) #s(literal -1 binary64))) |
| 5 158× | lower-*.f32 |
| 5 106× | lower-*.f64 |
| 4 850× | lower-fma.f32 |
| 4 840× | lower-fma.f64 |
| 3 242× | lower-pow.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 71 | 583 |
| 0 | 126 | 514 |
| 1 | 500 | 430 |
| 2 | 4361 | 394 |
| 0 | 8700 | 389 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) a))) |
(fma.f64 (*.f64 c (*.f64 a c)) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) #s(literal -1/6 binary64)) |
(+.f64 (fma.f64 (*.f64 c (*.f64 a c)) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) a))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
(*.f64 c (/.f64 #s(literal -1/2 binary64) b)) |
(/.f64 #s(literal -1/2 binary64) b) |
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal -3 binary64)) a) |
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal -3 binary64)) |
(-.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) |
(sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) |
(-.f64 (*.f64 b b) (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) |
(/.f64 (/.f64 (-.f64 (*.f64 b b) (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))))) #s(literal -3 binary64)) |
(/.f64 (-.f64 (*.f64 b b) (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))))) |
(*.f64 b b) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b (*.f64 b b)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b b))) |
(-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b (*.f64 b b)))) |
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b (*.f64 b b)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (+.f64 (fma.f64 (*.f64 c (*.f64 a c)) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal 405/64 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) a))))) b)) |
(/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 b (*.f64 b (*.f64 b b)))) |
(fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)) |
(+.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 b (*.f64 b b))) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 a (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)))) (*.f64 a (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal -135/128 binary64)))))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (*.f64 a (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal -135/128 binary64)))) (*.f64 a (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)))))) |
(/.f64 (*.f64 a (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal -135/128 binary64)))) (*.f64 a (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))))) |
(/.f64 (neg.f64 (*.f64 a (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal -135/128 binary64))))) (*.f64 a (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)))) (*.f64 a (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal -135/128 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)))) (*.f64 a (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal -135/128 binary64))))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 b (*.f64 b b))) (/.f64 (*.f64 a (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal -135/128 binary64)))) (*.f64 b (*.f64 b b))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 a (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)))) (*.f64 a (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal -135/128 binary64))))))) |
(/.f64 (/.f64 (*.f64 a (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal -135/128 binary64)))) (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 b (*.f64 b b)))) |
(/.f64 (*.f64 (*.f64 a (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal -135/128 binary64)))) #s(literal 1 binary64)) (*.f64 a (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 a (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal -135/128 binary64)))))) (*.f64 a (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))))) |
(/.f64 (neg.f64 (/.f64 (*.f64 a (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal -135/128 binary64)))) (*.f64 b (*.f64 b b)))) (neg.f64 (*.f64 a (*.f64 b (*.f64 b b))))) |
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 c (*.f64 (*.f64 c (*.f64 c c)) #s(literal 405/64 binary64)))) (*.f64 b (*.f64 b b))) #s(literal -1/6 binary64)) (*.f64 a (*.f64 b (*.f64 b b)))) |
(/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 c (*.f64 (*.f64 c (*.f64 c c)) #s(literal 405/64 binary64)))) (/.f64 #s(literal -1/6 binary64) (*.f64 a (*.f64 b (*.f64 b b))))) (*.f64 b (*.f64 b b))) |
(/.f64 (/.f64 (*.f64 a (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal -135/128 binary64)))) b) (*.f64 (*.f64 b b) (*.f64 a (*.f64 b (*.f64 b b))))) |
(/.f64 (/.f64 (*.f64 a (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal -135/128 binary64)))) (*.f64 a (*.f64 b (*.f64 b b)))) (*.f64 b (*.f64 b b))) |
(/.f64 (/.f64 (*.f64 a (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal -135/128 binary64)))) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)))) a) |
(/.f64 (/.f64 (/.f64 (*.f64 a (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal -135/128 binary64)))) (*.f64 b (*.f64 b b))) a) (*.f64 b (*.f64 b b))) |
(/.f64 (/.f64 (/.f64 (*.f64 a (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal -135/128 binary64)))) (*.f64 b (*.f64 b b))) b) (*.f64 a (*.f64 b b))) |
(/.f64 (/.f64 (/.f64 (*.f64 a (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal -135/128 binary64)))) (*.f64 b (*.f64 b b))) (*.f64 b (*.f64 b b))) a) |
(pow.f64 (/.f64 (*.f64 a (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)))) (*.f64 a (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal -135/128 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 a (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)))) (*.f64 a (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal -135/128 binary64))))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 a (*.f64 b (*.f64 b b))) (/.f64 (*.f64 a (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal -135/128 binary64)))) (*.f64 b (*.f64 b b)))) #s(literal -1 binary64)) |
(*.f64 a (*.f64 (*.f64 a (*.f64 (*.f64 a a) (*.f64 c (*.f64 (*.f64 c (*.f64 c c)) #s(literal 405/64 binary64))))) (/.f64 #s(literal -1/6 binary64) (*.f64 a (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))))))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c (*.f64 (*.f64 c (*.f64 c c)) #s(literal 405/64 binary64))) (/.f64 #s(literal -1/6 binary64) (*.f64 a (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))))))) |
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(*.f64 (*.f64 (*.f64 b b) (+.f64 (sqrt.f64 (fma.f64 a (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9 binary64)) (*.f64 (*.f64 b b) (*.f64 b b)))) (*.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal 3 binary64))))))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal 3 binary64)))))) (*.f64 a #s(literal 3 binary64)))) |
(*.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9 binary64)) (*.f64 (*.f64 b b) (*.f64 b b)))) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal 3 binary64))))) (neg.f64 (*.f64 b #s(literal 1 binary64)))) (/.f64 #s(literal 1/3 binary64) a)) |
(*.f64 (neg.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9 binary64)) (*.f64 (*.f64 b b) (*.f64 b b)))) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal 3 binary64))))) (neg.f64 (*.f64 b #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9 binary64)) (*.f64 (*.f64 b b) (*.f64 b b)))) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal 3 binary64))))) (neg.f64 (*.f64 b #s(literal 1 binary64)))) (*.f64 a #s(literal 3 binary64)))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (fma.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9 binary64)) (*.f64 (*.f64 b b) (*.f64 b b)))) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal 3 binary64))))) (neg.f64 (*.f64 b #s(literal 1 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9 binary64)) (*.f64 (*.f64 b b) (*.f64 b b)))) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal 3 binary64))))) (neg.f64 (*.f64 b #s(literal 1 binary64)))) #s(literal 1/3 binary64))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9 binary64)) (*.f64 (*.f64 b b) (*.f64 b b)))) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal 3 binary64))))) (neg.f64 (*.f64 b #s(literal 1 binary64)))) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) a)) |
(*.f64 (/.f64 (*.f64 (*.f64 b b) (+.f64 (sqrt.f64 (fma.f64 a (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9 binary64)) (*.f64 (*.f64 b b) (*.f64 b b)))) (*.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal 3 binary64))))))) a) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal 3 binary64)))))) #s(literal 3 binary64))) |
(*.f64 (/.f64 (*.f64 (*.f64 b b) (+.f64 (sqrt.f64 (fma.f64 a (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9 binary64)) (*.f64 (*.f64 b b) (*.f64 b b)))) (*.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal 3 binary64))))))) #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal 3 binary64)))))) a)) |
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(*.f64 (pow.f64 (/.f64 a (*.f64 (*.f64 b b) (+.f64 (sqrt.f64 (fma.f64 a (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9 binary64)) (*.f64 (*.f64 b b) (*.f64 b b)))) (*.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal 3 binary64)))))))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal 3 binary64))))))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 b b) (+.f64 (sqrt.f64 (fma.f64 a (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9 binary64)) (*.f64 (*.f64 b b) (*.f64 b b)))) (*.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal 3 binary64)))))))) #s(literal -1 binary64)) (pow.f64 (/.f64 a (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal 3 binary64))))))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 a #s(literal 3 binary64)) (*.f64 (*.f64 b b) (+.f64 (sqrt.f64 (fma.f64 a (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9 binary64)) (*.f64 (*.f64 b b) (*.f64 b b)))) (*.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal 3 binary64)))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal 3 binary64))))))) |
(*.f64 (pow.f64 (/.f64 (*.f64 a #s(literal 3 binary64)) (neg.f64 (*.f64 (*.f64 b b) (+.f64 (sqrt.f64 (fma.f64 a (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9 binary64)) (*.f64 (*.f64 b b) (*.f64 b b)))) (*.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal 3 binary64))))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal 3 binary64)))) (neg.f64 (*.f64 b b))))) |
(*.f64 (pow.f64 (/.f64 (*.f64 a #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 b b) (+.f64 (sqrt.f64 (fma.f64 a (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9 binary64)) (*.f64 (*.f64 b b) (*.f64 b b)))) (*.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal 3 binary64))))))) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal 3 binary64)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) |
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 b) (*.f64 (log.f64 (fma.f64 a (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9 binary64)) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal 1/2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (fma.f64 a (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9 binary64)) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (log.f64 b)))) |
(*.f64 b (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9 binary64)) (*.f64 (*.f64 b b) (*.f64 b b)))))) |
(*.f64 (*.f64 b b) (sqrt.f64 (fma.f64 a (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9 binary64)) (*.f64 (*.f64 b b) (*.f64 b b))))) |
(*.f64 (sqrt.f64 (fma.f64 a (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9 binary64)) (*.f64 (*.f64 b b) (*.f64 b b)))) (*.f64 b b)) |
(*.f64 (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9 binary64)) (*.f64 (*.f64 b b) (*.f64 b b))))) b) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 a (*.f64 a (*.f64 a a))) (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal -135/128 binary64)) (*.f64 a (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))))) (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 (*.f64 b b) (*.f64 b b))) (*.f64 c (fma.f64 a (*.f64 c (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) #s(literal -1/2 binary64))))) b)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 b b) (*.f64 b b)))) |
(/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 b b) (*.f64 b b))) |
(/.f64 (*.f64 (*.f64 a (*.f64 c (*.f64 c c))) (neg.f64 a)) (*.f64 (*.f64 b b) (*.f64 b b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 a (*.f64 a (*.f64 c (*.f64 c c))))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) b)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 a (*.f64 a (*.f64 c (*.f64 c c))))))) |
(/.f64 (*.f64 a (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) b)) (*.f64 b (*.f64 b b))) |
(/.f64 (neg.f64 (*.f64 (*.f64 a (*.f64 c (*.f64 c c))) (neg.f64 a))) (*.f64 (*.f64 b b) (*.f64 b b))) |
(/.f64 (neg.f64 (*.f64 a (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) b))) (*.f64 b (*.f64 b b))) |
(/.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 b (*.f64 b b))) b) |
(/.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 b b)) (*.f64 b b)) |
(/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) #s(literal 1 binary64)) (*.f64 (*.f64 b b) (*.f64 b b))) |
(/.f64 (*.f64 (/.f64 a b) (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 b (*.f64 b b))) |
(/.f64 (*.f64 a (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b (*.f64 b b)))) b) |
(/.f64 (/.f64 (*.f64 a (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) b)) b) (*.f64 b b)) |
(/.f64 (/.f64 (*.f64 a (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) b)) (*.f64 b b)) b) |
(pow.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 a (*.f64 a (*.f64 c (*.f64 c c))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 a (*.f64 a (*.f64 c (*.f64 c c))))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) b))) #s(literal -1 binary64)) |
(*.f64 a (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 (*.f64 b b) (*.f64 b b)))) |
(*.f64 (*.f64 a a) (*.f64 (*.f64 c (*.f64 c c)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (*.f64 b b))))) |
(*.f64 (*.f64 a a) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b)))) |
(*.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 a (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (*.f64 b b))))) |
(*.f64 (*.f64 a (*.f64 c (*.f64 c c))) (/.f64 a (*.f64 (*.f64 b b) (*.f64 b b)))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (*.f64 b b)))) |
(*.f64 (*.f64 (*.f64 a (*.f64 c (*.f64 c c))) (neg.f64 a)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (*.f64 b b)))) |
(*.f64 (/.f64 a b) (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b (*.f64 b b)))) |
(*.f64 (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b (*.f64 b b))) (/.f64 a b)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 b b) (*.f64 b b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) b) (pow.f64 (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a (*.f64 c (*.f64 c c))))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 c (*.f64 c c))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (*.f64 b b))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 c (*.f64 c c))))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (pow.f64 (/.f64 (*.f64 b b) (*.f64 a (*.f64 a (*.f64 c (*.f64 c c))))) #s(literal -1 binary64))) |
(*.f64 (*.f64 a (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) b)) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b b)))) |
(*.f64 (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 (*.f64 b b) (*.f64 b b))) a) |
(*.f64 (/.f64 a (*.f64 b b)) (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b))) |
(*.f64 (/.f64 a (*.f64 b (*.f64 b b))) (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) b)) |
(*.f64 (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 b b)) (/.f64 a (*.f64 b b))) |
(*.f64 (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) b) (/.f64 a (*.f64 b (*.f64 b b)))) |
(*.f64 (/.f64 (*.f64 a a) b) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 b b)))) |
(*.f64 (/.f64 (*.f64 a a) (*.f64 b b)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 b b))) |
(*.f64 (/.f64 (*.f64 a a) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 c (*.f64 c c)) b)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b b))) (*.f64 a (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) b))) |
(*.f64 (pow.f64 (/.f64 (*.f64 b b) a) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 b b) (*.f64 a (*.f64 c (*.f64 c c)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 b b) (*.f64 a (*.f64 c (*.f64 c c)))) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 b b) a) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 b (*.f64 a a)) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 b (*.f64 b b)) (*.f64 c (*.f64 c c))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 b (*.f64 a (*.f64 c (*.f64 c c)))) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 b (*.f64 b b)) a) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 b (*.f64 b b)) a) #s(literal -1 binary64)) (pow.f64 (/.f64 b (*.f64 a (*.f64 c (*.f64 c c)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 b b) (*.f64 c (*.f64 c c))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a a)) #s(literal -1 binary64)) (pow.f64 (/.f64 b (*.f64 c (*.f64 c c))) #s(literal -1 binary64))) |
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -3 binary64)))) |
(+.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))) (*.f64 b b)) |
(exp.f64 (log.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) #s(literal 1/2 binary64))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal 3 binary64))) |
(-.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))) (fma.f64 (*.f64 (*.f64 a c) #s(literal 3 binary64)) (fma.f64 b b (*.f64 (*.f64 a c) #s(literal 3 binary64))) (*.f64 (*.f64 b b) (*.f64 b b)))) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 27 binary64))) (fma.f64 (*.f64 (*.f64 a c) #s(literal 3 binary64)) (fma.f64 b b (*.f64 (*.f64 a c) #s(literal 3 binary64))) (*.f64 (*.f64 b b) (*.f64 b b))))) |
(-.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (fma.f64 b b (*.f64 (*.f64 a c) #s(literal 3 binary64)))) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 c c))) #s(literal 9 binary64)) (fma.f64 b b (*.f64 (*.f64 a c) #s(literal 3 binary64))))) |
(-.f64 (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 c c))) #s(literal 9 binary64)) (-.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))) (*.f64 b b))) (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (-.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))) (*.f64 b b)))) |
(sqrt.f64 (*.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) |
(fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)) |
(fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) |
(fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))) |
(fma.f64 (*.f64 b b) #s(literal 1 binary64) (*.f64 c (*.f64 a #s(literal -3 binary64)))) |
(fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) |
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 c (*.f64 a #s(literal -3 binary64)))) |
(fma.f64 #s(literal 3 binary64) (neg.f64 (*.f64 a c)) (*.f64 b b)) |
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(*.f64 (/.f64 (-.f64 (*.f64 b b) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (-.f64 (*.f64 b b) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) |
(exp.f64 (fma.f64 (log.f64 b) #s(literal 3 binary64) (*.f64 (log.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal 3 binary64)))) #s(literal 1/2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal 3 binary64)))) #s(literal 1/2 binary64) (*.f64 (log.f64 b) #s(literal 3 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal 3 binary64)))) #s(literal 1/2 binary64) (*.f64 (log.f64 (neg.f64 b)) #s(literal 3 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (neg.f64 b)) #s(literal 3 binary64) (*.f64 (log.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal 3 binary64)))) #s(literal 1/2 binary64)))) |
(-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 (*.f64 b b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal 3 binary64))))))) |
(neg.f64 (*.f64 b (*.f64 (*.f64 b b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal 3 binary64))))))) |
(*.f64 b (*.f64 (*.f64 b b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal 3 binary64)))))) |
(*.f64 (*.f64 b b) (*.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal 3 binary64)))))) |
(*.f64 (*.f64 b (*.f64 b b)) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal 3 binary64))))) |
(*.f64 (*.f64 b (*.f64 b b)) (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal 3 binary64)))))) |
(*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal 3 binary64)))) (*.f64 b (*.f64 b b))) |
(*.f64 (*.f64 (*.f64 b b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal 3 binary64))))) b) |
(*.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal 3 binary64)))) (neg.f64 (*.f64 b b))) b) |
(*.f64 #s(literal -1 binary64) (*.f64 b (*.f64 (*.f64 b b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal 3 binary64))))))) |
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal 3 binary64))))) (*.f64 b (*.f64 b b))) |
(*.f64 (*.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal 3 binary64))))) (*.f64 b b)) |
(*.f64 (*.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal 3 binary64))))) (neg.f64 (*.f64 b b))) |
(*.f64 (neg.f64 (*.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal 3 binary64)))))) (*.f64 b b)) |
(*.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal 3 binary64))))) b) (*.f64 b b)) |
Compiled 115 816 to 7 295 computations (93.7% saved)
48 alts after pruning (45 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 223 | 25 | 2 248 |
| Fresh | 51 | 20 | 71 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 1 | 2 |
| Total | 2 278 | 48 | 2 326 |
| Status | Accuracy | Program |
|---|---|---|
| 56.3% | (/.f64 (fma.f64 b #s(literal -1/3 binary64) (neg.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) #s(literal -1/3 binary64)))) a) | |
| 57.4% | (/.f64 (/.f64 (fma.f64 b b (neg.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))))) #s(literal -3 binary64)) | |
| 56.8% | (/.f64 (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal 3 binary64))) (fma.f64 b b (*.f64 (*.f64 a c) #s(literal 3 binary64)))) (fma.f64 b b (*.f64 (*.f64 a c) #s(literal 3 binary64)))) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal 3 binary64))) (fma.f64 b b (*.f64 (*.f64 a c) #s(literal 3 binary64))) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal 3 binary64))) (*.f64 b b))))) (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))))) #s(literal -3 binary64)) | |
| 99.1% | (/.f64 (/.f64 (-.f64 (-.f64 (*.f64 b b) (*.f64 b b)) (*.f64 c (*.f64 a #s(literal -3 binary64)))) (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))))) #s(literal -3 binary64)) | |
| 54.8% | (/.f64 (/.f64 (-.f64 (*.f64 b #s(literal -3 binary64)) (*.f64 #s(literal -3 binary64) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) #s(literal 9 binary64)) a) | |
| ✓ | 56.0% | (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal -3 binary64)) a) |
| 56.1% | (/.f64 (/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* a (* -3 c)) (* b b)) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) a) #s(literal -3 binary64)) | |
| ▶ | 99.1% | (/.f64 (/.f64 #s(approx (- (* b b) (+ (* -3 (* a c)) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))))) #s(literal -3 binary64)) |
| 56.0% | (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))))) a) | |
| 56.6% | (/.f64 (-.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) (*.f64 #s(literal 3 binary64) a)) | |
| 55.4% | (/.f64 (-.f64 (/.f64 b a) (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) a)) #s(literal -3 binary64)) | |
| 57.4% | (/.f64 (-.f64 (*.f64 b b) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (*.f64 #s(literal -3 binary64) (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))))) | |
| 55.4% | (/.f64 (-.f64 (*.f64 b #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) #s(literal -1/3 binary64))) a) | |
| 55.9% | (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) | |
| ▶ | 56.1% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a)) |
| 56.0% | (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) b) #s(literal 1/3 binary64)) a) | |
| 64.0% | (/.f64 #s(approx (/ (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b))))) (* b b)) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b (* b b)))) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b b))) (*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 a c) b))) (*.f64 #s(literal 3 binary64) a)) | |
| 90.8% | (/.f64 #s(approx (/ (- (* b b) (+ (* -3 (* a c)) (* b b))) (* a (+ b (sqrt (+ (* -3 (* a c)) (* b b)))))) (fma.f64 a (fma.f64 a (fma.f64 (*.f64 #s(literal -3 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 7 binary64))) #s(literal -135/128 binary64)) (/.f64 (*.f64 #s(literal 27/16 binary64) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal 9/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 #s(literal 3/2 binary64) c) b))) #s(literal -3 binary64)) | |
| 81.8% | (/.f64 #s(approx (/ (- (* b b) (+ (* -3 (* a c)) (* b b))) (* a (+ b (sqrt (+ (* -3 (* a c)) (* b b)))))) (/.f64 (fma.f64 #s(literal 9/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 #s(literal 3/2 binary64) c)) b)) #s(literal -3 binary64)) | |
| 64.0% | (/.f64 #s(approx (/ (- (* b b) (+ (* -3 (* a c)) (* b b))) (* a (+ b (sqrt (+ (* -3 (* a c)) (* b b)))))) (/.f64 (*.f64 #s(literal 3/2 binary64) c) b)) #s(literal -3 binary64)) | |
| 81.8% | (/.f64 #s(approx (/ (- (* b b) (+ (* -3 (* a c)) (* b b))) (* a (+ b (sqrt (+ (* -3 (* a c)) (* b b)))))) (*.f64 c (fma.f64 #s(literal 9/8 binary64) (/.f64 (*.f64 a c) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 3/2 binary64) b)))) #s(literal -3 binary64)) | |
| ▶ | 81.8% | (/.f64 #s(approx (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (/.f64 (fma.f64 c #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal 9/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b)) #s(literal -3 binary64)) |
| 64.0% | (/.f64 #s(approx (/ (- b (sqrt (+ (* -3 (* a c)) (* b b)))) -3) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a c)) b)) a) | |
| 64.0% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a)) | |
| ▶ | 87.8% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) (*.f64 #s(literal 3 binary64) a)) |
| 87.7% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 #s(literal -3/2 binary64) (/.f64 a b) (*.f64 c (fma.f64 a (*.f64 (/.f64 a (*.f64 b (*.f64 b b))) #s(literal -9/8 binary64)) (/.f64 (*.f64 c (*.f64 a (*.f64 (*.f64 a a) #s(literal -27/16 binary64)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))))) (*.f64 #s(literal 3 binary64) a)) | |
| 64.0% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c #s(approx (+ (* c (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5)))) (/ (* a -3/2) b)) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) (*.f64 #s(literal 3 binary64) a)) | |
| 55.9% | (/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) b) #s(literal 1/3 binary64)))) | |
| 55.9% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -3 binary64) (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) a)) | |
| 54.8% | (-.f64 (/.f64 (*.f64 b #s(literal -1/3 binary64)) a) (/.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) #s(literal -1/3 binary64)) a)) | |
| 55.3% | (-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) (/.f64 b (*.f64 #s(literal 3 binary64) a))) | |
| 56.0% | (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) b) a) #s(literal 1/3 binary64)) | |
| 55.9% | (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) b) #s(literal 1/3 binary64))) | |
| 56.0% | (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) b)) | |
| 87.5% | (*.f64 (/.f64 #s(literal 1/3 binary64) a) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 c (fma.f64 a (*.f64 (/.f64 a (*.f64 b (*.f64 b b))) #s(literal -9/8 binary64)) (/.f64 (*.f64 c (*.f64 a (*.f64 (*.f64 a a) #s(literal -27/16 binary64)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b))))) | |
| 56.0% | (*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -3 binary64))) | |
| 81.9% | #s(approx (/ (/ (- (* b b) (+ (* -3 (* a c)) (* b b))) (* a (+ b (sqrt (+ (* -3 (* a c)) (* b b)))))) -3) (fma.f64 #s(literal -1/2 binary64) (/.f64 c b) (/.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c c)) (*.f64 b (*.f64 b b))))) | |
| 81.9% | #s(approx (/ (/ (- (* b b) (+ (* -3 (* a c)) (* b b))) (* a (+ b (sqrt (+ (* -3 (* a c)) (* b b)))))) -3) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 #s(literal -1/2 binary64) c)) b)) | |
| 81.8% | #s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1/2 binary64) b)))) | |
| 91.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 a c) (*.f64 (*.f64 b b) #s(literal -8/3 binary64))) c (fma.f64 c #s(literal -1/2 binary64) (fma.f64 a (*.f64 (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -9/16 binary64)) (/.f64 (*.f64 a (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal -135/128 binary64)))) (*.f64 a (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)))))))) b)) | |
| 90.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 c (fma.f64 a (*.f64 c (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) #s(literal -1/2 binary64)) (fma.f64 a (*.f64 (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal -9/16 binary64)) (/.f64 (*.f64 a (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal -135/128 binary64)))) (*.f64 a (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))))))) b)) | |
| 90.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (+.f64 (fma.f64 c (fma.f64 a (*.f64 c (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) #s(literal -1/2 binary64)) (/.f64 (*.f64 a (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) #s(literal -135/128 binary64)))) (*.f64 a (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)))))) (/.f64 (*.f64 (*.f64 #s(literal -9/16 binary64) a) (*.f64 a (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 b b) (*.f64 b b)))) b)) | |
| 87.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (+ (* (* c (* a c)) (/ -3/8 (* b b))) (* c -1/2)) (+ (* -9/16 (/ (* a (* a (* c (* c c)))) (* b (* b (* b b))))) (/ (* (* (* a (* a (* a a))) (* (* c (* c (* c c))) 405/64)) -1/6) (* (* b (* b b)) (* (* b (* b b)) a))))) (*.f64 c (fma.f64 c (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 (*.f64 a a) c) (pow.f64 b #s(literal 4 binary64))) (*.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 b b)))) #s(literal -1/2 binary64)))) b)) | |
| 81.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (+ (* (* c (* a c)) (/ -3/8 (* b b))) (* c -1/2)) (+ (* -9/16 (/ (* a (* a (* c (* c c)))) (* b (* b (* b b))))) (/ (* (* (* a (* a (* a a))) (* (* c (* c (* c c))) 405/64)) -1/6) (* (* b (* b b)) (* (* b (* b b)) a))))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)))) b)) | |
| 90.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* -9/16 (/ (* a (* a (* c (* c c)))) (pow b 4))) (+ (* -1/6 (* (* (pow a 4) (pow c 4)) (/ 405/64 (* a (pow b 6))))) (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)))) (*.f64 (pow.f64 c #s(literal 4 binary64)) (fma.f64 #s(literal -135/128 binary64) (/.f64 (*.f64 a (*.f64 a a)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a a) (*.f64 (pow.f64 b #s(literal 4 binary64)) c)) (fma.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 (*.f64 c c) (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 c c)))))))) b)) | |
| ▶ | 64.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
| ✓ | 64.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
| ✓ | 64.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
Compiled 2 622 to 1 413 computations (46.1% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b))) | |
| cost-diff | 0 | #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) (*.f64 #s(literal 3 binary64) a)) | |
| cost-diff | 640 | (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) | |
| cost-diff | 0 | (/.f64 (fma.f64 c #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal 9/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) | |
| cost-diff | 0 | #s(approx (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (/.f64 (fma.f64 c #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal 9/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b)) | |
| cost-diff | 0 | (/.f64 #s(approx (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (/.f64 (fma.f64 c #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal 9/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b)) #s(literal -3 binary64)) | |
| cost-diff | 320 | (fma.f64 c #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal 9/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) | |
| cost-diff | 0 | (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64))))) | |
| cost-diff | 0 | (neg.f64 b) | |
| cost-diff | 0 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a)) | |
| cost-diff | 128 | (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) | |
| cost-diff | 0 | (/.f64 b c) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) | |
| cost-diff | 384 | (/.f64 #s(literal -1/2 binary64) (/.f64 b c)) | |
| cost-diff | 0 | (*.f64 #s(literal 3 binary64) (*.f64 a c)) | |
| cost-diff | 0 | #s(approx (- (* b b) (+ (* -3 (* a c)) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) | |
| cost-diff | 0 | (/.f64 #s(approx (- (* b b) (+ (* -3 (* a c)) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))))) | |
| cost-diff | 384 | (/.f64 (/.f64 #s(approx (- (* b b) (+ (* -3 (* a c)) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))))) #s(literal -3 binary64)) |
| 4 746× | lower-*.f32 |
| 4 712× | lower-*.f64 |
| 4 298× | lower-fma.f32 |
| 4 288× | lower-fma.f64 |
| 1 702× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 95 | 902 |
| 0 | 142 | 840 |
| 1 | 280 | 822 |
| 2 | 586 | 801 |
| 3 | 1369 | 780 |
| 4 | 2850 | 780 |
| 5 | 5471 | 780 |
| 0 | 8220 | 756 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 #s(approx (- (* b b) (+ (* -3 (* a c)) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))))) #s(literal -3 binary64)) |
(/.f64 #s(approx (- (* b b) (+ (* -3 (* a c)) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))))) |
#s(approx (- (* b b) (+ (* -3 (* a c)) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) |
(*.f64 #s(literal 3 binary64) (*.f64 a c)) |
#s(literal 3 binary64) |
(*.f64 a c) |
a |
c |
(*.f64 a (+.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))))) |
(+.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) |
b |
(sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) |
(fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)) |
#s(literal -3 binary64) |
(*.f64 b b) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
(/.f64 #s(literal -1/2 binary64) (/.f64 b c)) |
#s(literal -1/2 binary64) |
(/.f64 b c) |
b |
c |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) |
(neg.f64 b) |
b |
(sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64))))) |
#s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))) |
(fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64))) |
(*.f64 (*.f64 c a) #s(literal -3 binary64)) |
(*.f64 c a) |
c |
a |
#s(literal -3 binary64) |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
(/.f64 #s(approx (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (/.f64 (fma.f64 c #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal 9/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b)) #s(literal -3 binary64)) |
#s(approx (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (/.f64 (fma.f64 c #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal 9/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b)) |
(/.f64 (fma.f64 c #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal 9/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) |
(fma.f64 c #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal 9/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) |
c |
#s(literal 3/2 binary64) |
(/.f64 (*.f64 #s(literal 9/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b)) |
(*.f64 #s(literal 9/8 binary64) (*.f64 a (*.f64 c c))) |
#s(literal 9/8 binary64) |
(*.f64 a (*.f64 c c)) |
a |
(*.f64 c c) |
(*.f64 b b) |
b |
#s(literal -3 binary64) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) |
(*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b))) |
c |
(fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)) |
#s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) |
(/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b))) |
(fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) |
#s(literal -27/16 binary64) |
(/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) |
(*.f64 c (*.f64 a (*.f64 a a))) |
(*.f64 a (*.f64 a a)) |
a |
(*.f64 a a) |
(*.f64 b b) |
b |
(*.f64 (*.f64 a a) #s(literal -9/8 binary64)) |
#s(literal -9/8 binary64) |
(*.f64 b (*.f64 b b)) |
(/.f64 (*.f64 a #s(literal -3/2 binary64)) b) |
(*.f64 a #s(literal -3/2 binary64)) |
#s(literal -3/2 binary64) |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
| Outputs |
|---|
(/.f64 (/.f64 #s(approx (- (* b b) (+ (* -3 (* a c)) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))))) #s(literal -3 binary64)) |
(/.f64 #s(approx (- (* b b) (+ (* -3 (* a c)) (* b b))) (*.f64 c (*.f64 a #s(literal 3 binary64)))) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) (*.f64 #s(literal -3 binary64) a))) |
(/.f64 #s(approx (- (* b b) (+ (* -3 (* a c)) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))))) |
(/.f64 #s(approx (- (* b b) (+ (* -3 (* a c)) (* b b))) (*.f64 c (*.f64 a #s(literal 3 binary64)))) (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))))) |
#s(approx (- (* b b) (+ (* -3 (* a c)) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) |
#s(approx (- (* b b) (+ (* -3 (* a c)) (* b b))) (*.f64 c (*.f64 a #s(literal 3 binary64)))) |
(*.f64 #s(literal 3 binary64) (*.f64 a c)) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
#s(literal 3 binary64) |
(*.f64 a c) |
a |
c |
(*.f64 a (+.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))))) |
(+.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) |
b |
(sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) |
(fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)) |
#s(literal -3 binary64) |
(*.f64 b b) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
(/.f64 #s(literal -1/2 binary64) (/.f64 b c)) |
(*.f64 c (/.f64 #s(literal -1/2 binary64) b)) |
#s(literal -1/2 binary64) |
(/.f64 b c) |
b |
c |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) b) (*.f64 a #s(literal 3 binary64))) |
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) |
(-.f64 (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) b) |
(neg.f64 b) |
b |
(sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64))))) |
(sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) |
#s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))) |
#s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) |
(fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64))) |
(fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)) |
(*.f64 (*.f64 c a) #s(literal -3 binary64)) |
(*.f64 #s(literal -3 binary64) (*.f64 a c)) |
(*.f64 c a) |
(*.f64 a c) |
c |
a |
#s(literal -3 binary64) |
(*.f64 #s(literal 3 binary64) a) |
(*.f64 a #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(/.f64 #s(approx (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (/.f64 (fma.f64 c #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal 9/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b)) #s(literal -3 binary64)) |
(/.f64 #s(approx (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (/.f64 (*.f64 c (fma.f64 (*.f64 a c) (/.f64 #s(literal 9/8 binary64) (*.f64 b b)) #s(literal 3/2 binary64))) b)) #s(literal -3 binary64)) |
#s(approx (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (/.f64 (fma.f64 c #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal 9/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b)) |
#s(approx (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (/.f64 (*.f64 c (fma.f64 (*.f64 a c) (/.f64 #s(literal 9/8 binary64) (*.f64 b b)) #s(literal 3/2 binary64))) b)) |
(/.f64 (fma.f64 c #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal 9/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) |
(/.f64 (*.f64 c (fma.f64 (*.f64 a c) (/.f64 #s(literal 9/8 binary64) (*.f64 b b)) #s(literal 3/2 binary64))) b) |
(fma.f64 c #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal 9/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) |
(*.f64 c (fma.f64 (*.f64 a c) (/.f64 #s(literal 9/8 binary64) (*.f64 b b)) #s(literal 3/2 binary64))) |
c |
#s(literal 3/2 binary64) |
(/.f64 (*.f64 #s(literal 9/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b)) |
(/.f64 (*.f64 a (*.f64 #s(literal 9/8 binary64) (*.f64 c c))) (*.f64 b b)) |
(*.f64 #s(literal 9/8 binary64) (*.f64 a (*.f64 c c))) |
(*.f64 a (*.f64 #s(literal 9/8 binary64) (*.f64 c c))) |
#s(literal 9/8 binary64) |
(*.f64 a (*.f64 c c)) |
a |
(*.f64 c c) |
(*.f64 b b) |
b |
#s(literal -3 binary64) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (*.f64 (*.f64 a a) (/.f64 (fma.f64 a (/.f64 (*.f64 c #s(literal -27/16 binary64)) (*.f64 b b)) #s(literal -9/8 binary64)) (*.f64 b (*.f64 b b))))) (*.f64 #s(literal -3/2 binary64) (/.f64 a b))))) (*.f64 a #s(literal 3 binary64))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (*.f64 (*.f64 a a) (/.f64 (fma.f64 a (/.f64 (*.f64 c #s(literal -27/16 binary64)) (*.f64 b b)) #s(literal -9/8 binary64)) (*.f64 b (*.f64 b b))))) (*.f64 #s(literal -3/2 binary64) (/.f64 a b))))) |
(*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b))) |
(*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (*.f64 (*.f64 a a) (/.f64 (fma.f64 a (/.f64 (*.f64 c #s(literal -27/16 binary64)) (*.f64 b b)) #s(literal -9/8 binary64)) (*.f64 b (*.f64 b b))))) (*.f64 #s(literal -3/2 binary64) (/.f64 a b)))) |
c |
(fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)) |
(fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (*.f64 (*.f64 a a) (/.f64 (fma.f64 a (/.f64 (*.f64 c #s(literal -27/16 binary64)) (*.f64 b b)) #s(literal -9/8 binary64)) (*.f64 b (*.f64 b b))))) (*.f64 #s(literal -3/2 binary64) (/.f64 a b))) |
#s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) |
#s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (*.f64 (*.f64 a a) (/.f64 (fma.f64 a (/.f64 (*.f64 c #s(literal -27/16 binary64)) (*.f64 b b)) #s(literal -9/8 binary64)) (*.f64 b (*.f64 b b))))) |
(/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b))) |
(*.f64 (*.f64 a a) (/.f64 (fma.f64 a (/.f64 (*.f64 c #s(literal -27/16 binary64)) (*.f64 b b)) #s(literal -9/8 binary64)) (*.f64 b (*.f64 b b)))) |
(fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) |
(*.f64 a (*.f64 a (fma.f64 a (/.f64 (*.f64 c #s(literal -27/16 binary64)) (*.f64 b b)) #s(literal -9/8 binary64)))) |
#s(literal -27/16 binary64) |
(/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) |
(/.f64 (*.f64 a (*.f64 a (*.f64 a c))) (*.f64 b b)) |
(*.f64 c (*.f64 a (*.f64 a a))) |
(*.f64 a (*.f64 a (*.f64 a c))) |
(*.f64 a (*.f64 a a)) |
a |
(*.f64 a a) |
(*.f64 b b) |
b |
(*.f64 (*.f64 a a) #s(literal -9/8 binary64)) |
(*.f64 #s(literal -9/8 binary64) (*.f64 a a)) |
#s(literal -9/8 binary64) |
(*.f64 b (*.f64 b b)) |
(/.f64 (*.f64 a #s(literal -3/2 binary64)) b) |
(*.f64 #s(literal -3/2 binary64) (/.f64 a b)) |
(*.f64 a #s(literal -3/2 binary64)) |
#s(literal -3/2 binary64) |
(*.f64 #s(literal 3 binary64) a) |
(*.f64 a #s(literal 3 binary64)) |
#s(literal 3 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.3678512695368841 | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) (*.f64 #s(literal 3 binary64) a)) | |
| accuracy | 0.375 | (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b))) | |
| accuracy | 0.375 | (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) | |
| accuracy | 7.556543119115533 | #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) | |
| accuracy | 0.28515625 | (/.f64 (fma.f64 c #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal 9/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) | |
| accuracy | 0.2890625 | (*.f64 #s(literal 9/8 binary64) (*.f64 a (*.f64 c c))) | |
| accuracy | 0.359375 | (/.f64 (*.f64 #s(literal 9/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b)) | |
| accuracy | 11.502809784940787 | #s(approx (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (/.f64 (fma.f64 c #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal 9/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b)) | |
| accuracy | 0.11328125 | (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64))))) | |
| accuracy | 0.2734375 | (*.f64 (*.f64 c a) #s(literal -3 binary64)) | |
| accuracy | 0.3678512695368841 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a)) | |
| accuracy | 28.052966832663916 | (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) | |
| accuracy | 0 | (/.f64 b c) | |
| accuracy | 0.265625 | (/.f64 #s(literal -1/2 binary64) (/.f64 b c)) | |
| accuracy | 22.98538953303501 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) | |
| accuracy | 0.26171875 | (+.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) | |
| accuracy | 0.265625 | (/.f64 (/.f64 #s(approx (- (* b b) (+ (* -3 (* a c)) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))))) #s(literal -3 binary64)) | |
| accuracy | 0.2734375 | (*.f64 #s(literal 3 binary64) (*.f64 a c)) | |
| accuracy | 0.40462875976844204 | (/.f64 #s(approx (- (* b b) (+ (* -3 (* a c)) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))))) |
| 114.0ms | 86× | 1 | valid |
| 94.0ms | 170× | 0 | valid |
Compiled 631 to 84 computations (86.7% saved)
ival-mult: 53.0ms (36.9% of total)ival-add: 34.0ms (23.6% of total)ival-div: 29.0ms (20.2% of total)adjust: 9.0ms (6.3% of total)ival-sqrt: 9.0ms (6.3% of total)ival-sub: 5.0ms (3.5% of total)ival-pow: 3.0ms (2.1% of total)exact: 1.0ms (0.7% of total)ival-neg: 1.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (/.f64 #s(approx (- (* b b) (+ (* -3 (* a c)) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))))) #s(literal -3 binary64)) (patch (/.f64 (/.f64 #s(approx (- (* b b) (+ (* -3 (* a c)) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))))) #s(literal -3 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (- (* b b) (+ (* -3 (* a c)) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))))) (patch (/.f64 #s(approx (- (* b b) (+ (* -3 (* a c)) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (* b b) (+ (* -3 (* a c)) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (patch #s(approx (- (* b b) (+ (* -3 (* a c)) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 3 binary64) (*.f64 a c)) (patch (*.f64 #s(literal 3 binary64) (*.f64 a c)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1/2 binary64) (/.f64 b c)) (patch (/.f64 #s(literal -1/2 binary64) (/.f64 b c)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) #<representation binary64>) () ()) |
#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ()) |
#s(alt (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (patch (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ()) |
#s(alt (neg.f64 b) (patch (neg.f64 b) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (patch (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64))))) #<representation binary64>) () ()) |
#s(alt (fma.f64 c #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal 9/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) (patch (fma.f64 c #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal 9/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (/.f64 (fma.f64 c #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal 9/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b)) #s(literal -3 binary64)) (patch (/.f64 #s(approx (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (/.f64 (fma.f64 c #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal 9/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b)) #s(literal -3 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (/.f64 (fma.f64 c #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal 9/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b)) (patch #s(approx (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (/.f64 (fma.f64 c #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal 9/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 c #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal 9/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) (patch (/.f64 (fma.f64 c #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal 9/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (patch (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) (patch #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) #<representation binary64>) () ()) |
#s(alt (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b))) (patch (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b))) #<representation binary64>) () ()) |
#s(alt (+.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) (patch (+.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 c a) #s(literal -3 binary64)) (patch (*.f64 (*.f64 c a) #s(literal -3 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 #s(literal 9/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b)) (patch (/.f64 (*.f64 #s(literal 9/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 9/8 binary64) (*.f64 a (*.f64 c c))) (patch (*.f64 #s(literal 9/8 binary64) (*.f64 a (*.f64 c c))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (patch (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b))) (patch (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (taylor 0 b) (#s(alt (/.f64 (/.f64 #s(approx (- (* b b) (+ (* -3 (* a c)) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))))) #s(literal -3 binary64)) (patch (/.f64 (/.f64 #s(approx (- (* b b) (+ (* -3 (* a c)) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))))) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (/ b (* a (pow (sqrt -3) 2)))) (taylor 0 b) (#s(alt (/.f64 (/.f64 #s(approx (- (* b b) (+ (* -3 (* a c)) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))))) #s(literal -3 binary64)) (patch (/.f64 (/.f64 #s(approx (- (* b b) (+ (* -3 (* a c)) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))))) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* b (+ (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))))) (/ 1 (* a (pow (sqrt -3) 2)))))) (taylor 0 b) (#s(alt (/.f64 (/.f64 #s(approx (- (* b b) (+ (* -3 (* a c)) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))))) #s(literal -3 binary64)) (patch (/.f64 (/.f64 #s(approx (- (* b b) (+ (* -3 (* a c)) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))))) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) (taylor inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (patch (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 b) (taylor -inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (patch (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))) (taylor -inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (patch (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) (taylor -inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (patch (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) (taylor -inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (patch (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (* -3/2 (/ (* a c) b)) (taylor 0 a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (patch (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) (taylor 0 a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (patch (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) (taylor 0 a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (patch (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) (taylor 0 a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (patch (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (* a c)) (sqrt -3)) (taylor inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (patch (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) (taylor inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (patch (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))) (taylor inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (patch (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a))) (taylor inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (patch (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) (taylor -inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (patch (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))) (taylor -inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (patch (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) (taylor -inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (patch (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) (taylor -inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (patch (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (* -3/2 (/ (* a c) b)) (taylor 0 c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (patch (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) (taylor 0 c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (patch (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))) (taylor 0 c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (patch (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) (taylor 0 c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (patch (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (* a c)) (sqrt -3)) (taylor inf c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (patch (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) (taylor inf c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (patch (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))) (taylor inf c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (patch (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c))) (taylor inf c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (patch (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) (taylor -inf c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (patch (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))) (taylor -inf c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (patch (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) (taylor -inf c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (patch (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) (taylor -inf c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (patch (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (taylor 0 b) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) (taylor 0 b) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) (taylor 0 b) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) (taylor 0 b) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ c b)) (taylor inf b) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) (taylor inf b) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) (taylor inf b) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) (taylor inf b) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -2/3 (/ b a)) (taylor -inf b) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) (taylor -inf b) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) (taylor -inf b) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) (taylor -inf b) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ c b)) (taylor 0 a) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) (taylor 0 a) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) (taylor 0 a) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) (taylor 0 a) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (taylor inf a) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) (taylor inf a) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) (taylor inf a) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) (taylor inf a) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (taylor -inf a) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) (taylor -inf a) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) (taylor -inf a) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) (taylor -inf a) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ c b)) (taylor 0 c) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (taylor inf c) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) (taylor inf c) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) (taylor inf c) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) (taylor inf c) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) (taylor -inf c) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
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#s(alt (+ b (* -3/2 (/ (* a c) b))) (taylor 0 a) (#s(alt (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (patch (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) (taylor 0 a) (#s(alt (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (patch (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) (taylor 0 a) (#s(alt (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (patch (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (* a c)) (sqrt -3)) (taylor inf a) (#s(alt (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (patch (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (taylor inf a) (#s(alt (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (patch (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))) (taylor inf a) (#s(alt (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (patch (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))) (taylor inf a) (#s(alt (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (patch (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) (taylor -inf a) (#s(alt (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (patch (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) (taylor -inf a) (#s(alt (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (patch (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) (taylor -inf a) (#s(alt (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (patch (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) (taylor -inf a) (#s(alt (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (patch (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt b (taylor 0 c) (#s(alt (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (patch (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ b (* -3/2 (/ (* a c) b))) (taylor 0 c) (#s(alt (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (patch (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))) (taylor 0 c) (#s(alt (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (patch (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))) (taylor 0 c) (#s(alt (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (patch (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (* a c)) (sqrt -3)) (taylor inf c) (#s(alt (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (patch (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (taylor inf c) (#s(alt (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (patch (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))) (taylor inf c) (#s(alt (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (patch (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))) (taylor inf c) (#s(alt (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (patch (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) (taylor -inf c) (#s(alt (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (patch (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64))))) #<representation binary64>) () ())) ()) |
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#s(alt (* a (+ (* 9/8 (/ (pow c 2) (pow b 3))) (* 3/2 (/ c (* a b))))) (taylor inf a) (#s(alt (/.f64 (fma.f64 c #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal 9/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) (patch (/.f64 (fma.f64 c #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal 9/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (* 9/8 (/ (* a (pow c 2)) (pow b 3))) (taylor -inf a) (#s(alt (/.f64 (fma.f64 c #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal 9/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) (patch (/.f64 (fma.f64 c #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal 9/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -3/2 (/ c (* a b))) (* -9/8 (/ (pow c 2) (pow b 3)))))) (taylor -inf a) (#s(alt (/.f64 (fma.f64 c #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal 9/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) (patch (/.f64 (fma.f64 c #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal 9/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -3/2 (/ c (* a b))) (* -9/8 (/ (pow c 2) (pow b 3)))))) (taylor -inf a) (#s(alt (/.f64 (fma.f64 c #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal 9/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) (patch (/.f64 (fma.f64 c #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal 9/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -3/2 (/ c (* a b))) (* -9/8 (/ (pow c 2) (pow b 3)))))) (taylor -inf a) (#s(alt (/.f64 (fma.f64 c #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal 9/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) (patch (/.f64 (fma.f64 c #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal 9/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (* 9/8 (/ (* a (pow c 2)) (pow b 3))) (taylor 0 b) (#s(alt (/.f64 (fma.f64 c #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal 9/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) (patch (/.f64 (fma.f64 c #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal 9/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 9/8 (* a (pow c 2))) (* 3/2 (* (pow b 2) c))) (pow b 3)) (taylor 0 b) (#s(alt (/.f64 (fma.f64 c #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal 9/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) (patch (/.f64 (fma.f64 c #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal 9/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 9/8 (* a (pow c 2))) (* 3/2 (* (pow b 2) c))) (pow b 3)) (taylor 0 b) (#s(alt (/.f64 (fma.f64 c #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal 9/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) (patch (/.f64 (fma.f64 c #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal 9/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 9/8 (* a (pow c 2))) (* 3/2 (* (pow b 2) c))) (pow b 3)) (taylor 0 b) (#s(alt (/.f64 (fma.f64 c #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal 9/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) (patch (/.f64 (fma.f64 c #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal 9/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (* 3/2 (/ c b)) (taylor inf b) (#s(alt (/.f64 (fma.f64 c #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal 9/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) (patch (/.f64 (fma.f64 c #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal 9/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 9/8 (/ (* a (pow c 2)) (pow b 2))) (* 3/2 c)) b) (taylor inf b) (#s(alt (/.f64 (fma.f64 c #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal 9/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) (patch (/.f64 (fma.f64 c #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal 9/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 9/8 (/ (* a (pow c 2)) (pow b 2))) (* 3/2 c)) b) (taylor inf b) (#s(alt (/.f64 (fma.f64 c #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal 9/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) (patch (/.f64 (fma.f64 c #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal 9/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 9/8 (/ (* a (pow c 2)) (pow b 2))) (* 3/2 c)) b) (taylor inf b) (#s(alt (/.f64 (fma.f64 c #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal 9/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) (patch (/.f64 (fma.f64 c #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal 9/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (* 3/2 (/ c b)) (taylor -inf b) (#s(alt (/.f64 (fma.f64 c #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal 9/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) (patch (/.f64 (fma.f64 c #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal 9/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2)))) b)) (taylor -inf b) (#s(alt (/.f64 (fma.f64 c #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal 9/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) (patch (/.f64 (fma.f64 c #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal 9/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2)))) b)) (taylor -inf b) (#s(alt (/.f64 (fma.f64 c #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal 9/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) (patch (/.f64 (fma.f64 c #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal 9/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2)))) b)) (taylor -inf b) (#s(alt (/.f64 (fma.f64 c #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal 9/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) (patch (/.f64 (fma.f64 c #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal 9/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -9/8 (pow a 2)) (taylor 0 c) (#s(alt (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (patch (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -27/16 (/ (* (pow a 3) c) (pow b 2))) (* -9/8 (pow a 2))) (taylor 0 c) (#s(alt (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (patch (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -27/16 (/ (* (pow a 3) c) (pow b 2))) (* -9/8 (pow a 2))) (taylor 0 c) (#s(alt (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (patch (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -27/16 (/ (* (pow a 3) c) (pow b 2))) (* -9/8 (pow a 2))) (taylor 0 c) (#s(alt (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (patch (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -27/16 (/ (* (pow a 3) c) (pow b 2))) (taylor inf c) (#s(alt (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (patch (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -27/16 (/ (pow a 3) (pow b 2))) (* -9/8 (/ (pow a 2) c)))) (taylor inf c) (#s(alt (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (patch (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -27/16 (/ (pow a 3) (pow b 2))) (* -9/8 (/ (pow a 2) c)))) (taylor inf c) (#s(alt (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (patch (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -27/16 (/ (pow a 3) (pow b 2))) (* -9/8 (/ (pow a 2) c)))) (taylor inf c) (#s(alt (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (patch (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -27/16 (/ (* (pow a 3) c) (pow b 2))) (taylor -inf c) (#s(alt (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (patch (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* 9/8 (/ (pow a 2) c)) (* 27/16 (/ (pow a 3) (pow b 2)))))) (taylor -inf c) (#s(alt (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (patch (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* 9/8 (/ (pow a 2) c)) (* 27/16 (/ (pow a 3) (pow b 2)))))) (taylor -inf c) (#s(alt (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (patch (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* 9/8 (/ (pow a 2) c)) (* 27/16 (/ (pow a 3) (pow b 2)))))) (taylor -inf c) (#s(alt (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (patch (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -9/8 (pow a 2)) (taylor 0 a) (#s(alt (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (patch (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (- (* -27/16 (/ (* a c) (pow b 2))) 9/8)) (taylor 0 a) (#s(alt (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (patch (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (- (* -27/16 (/ (* a c) (pow b 2))) 9/8)) (taylor 0 a) (#s(alt (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (patch (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (- (* -27/16 (/ (* a c) (pow b 2))) 9/8)) (taylor 0 a) (#s(alt (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (patch (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -27/16 (/ (* (pow a 3) c) (pow b 2))) (taylor inf a) (#s(alt (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (patch (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 3) (- (* -27/16 (/ c (pow b 2))) (* 9/8 (/ 1 a)))) (taylor inf a) (#s(alt (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (patch (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 3) (- (* -27/16 (/ c (pow b 2))) (* 9/8 (/ 1 a)))) (taylor inf a) (#s(alt (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (patch (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 3) (- (* -27/16 (/ c (pow b 2))) (* 9/8 (/ 1 a)))) (taylor inf a) (#s(alt (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (patch (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -27/16 (/ (* (pow a 3) c) (pow b 2))) (taylor -inf a) (#s(alt (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (patch (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow a 3) (+ (* 27/16 (/ c (pow b 2))) (* 9/8 (/ 1 a))))) (taylor -inf a) (#s(alt (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (patch (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow a 3) (+ (* 27/16 (/ c (pow b 2))) (* 9/8 (/ 1 a))))) (taylor -inf a) (#s(alt (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (patch (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow a 3) (+ (* 27/16 (/ c (pow b 2))) (* 9/8 (/ 1 a))))) (taylor -inf a) (#s(alt (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (patch (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -27/16 (/ (* (pow a 3) c) (pow b 2))) (taylor 0 b) (#s(alt (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (patch (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -27/16 (* (pow a 3) c)) (* -9/8 (* (pow a 2) (pow b 2)))) (pow b 2)) (taylor 0 b) (#s(alt (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (patch (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) (taylor inf b) (#s(alt (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) (taylor inf b) (#s(alt (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) (taylor 0 a) (#s(alt (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) (taylor 0 a) (#s(alt (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) (taylor 0 a) (#s(alt (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (taylor inf a) (#s(alt (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) (taylor inf a) (#s(alt (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) (taylor inf a) (#s(alt (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) (taylor inf a) (#s(alt (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (taylor -inf a) (#s(alt (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) (taylor -inf a) (#s(alt (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) (taylor -inf a) (#s(alt (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) (taylor -inf a) (#s(alt (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ c b)) (taylor 0 c) (#s(alt (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
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#s(alt (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) (taylor -inf b) (#s(alt #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) (patch #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) #<representation binary64>) () ())) ()) |
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#s(alt (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) (taylor 0 a) (#s(alt #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) (patch #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) #<representation binary64>) () ())) ()) |
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#s(alt (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))) (taylor inf a) (#s(alt #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) (patch #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) #<representation binary64>) () ())) ()) |
#s(alt (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a))) (taylor inf a) (#s(alt #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) (patch #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) #<representation binary64>) () ())) ()) |
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#s(alt (* -3/2 (/ (* a c) b)) (taylor 0 c) (#s(alt #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) (patch #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) (taylor 0 c) (#s(alt #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) (patch #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))) (taylor 0 c) (#s(alt #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) (patch #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) (taylor 0 c) (#s(alt #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) (patch #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (* a c)) (sqrt -3)) (taylor inf c) (#s(alt #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) (patch #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) (taylor inf c) (#s(alt #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) (patch #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))) (taylor inf c) (#s(alt #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) (patch #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c))) (taylor inf c) (#s(alt #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) (patch #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) (taylor -inf c) (#s(alt #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) (patch #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))) (taylor -inf c) (#s(alt #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) (patch #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) (taylor -inf c) (#s(alt #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) (patch #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) (taylor -inf c) (#s(alt #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) (patch #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) #<representation binary64>) () ())) ()) |
#s(alt (* -3/2 (/ (* a c) b)) (taylor 0 c) (#s(alt (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b))) (patch (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b))) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) (taylor 0 c) (#s(alt (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b))) (patch (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b))) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))) (taylor 0 c) (#s(alt (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b))) (patch (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b))) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))) (taylor 0 c) (#s(alt (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b))) (patch (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b))) #<representation binary64>) () ())) ()) |
#s(alt (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 5))) (taylor inf c) (#s(alt (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b))) (patch (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 3) (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -9/8 (/ (pow a 2) (* (pow b 3) c))))) (taylor inf c) (#s(alt (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b))) (patch (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 3) (+ (* -27/16 (/ (pow a 3) (pow b 5))) (+ (* -3/2 (/ a (* b (pow c 2)))) (* -9/8 (/ (pow a 2) (* (pow b 3) c)))))) (taylor inf c) (#s(alt (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b))) (patch (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 3) (+ (* -27/16 (/ (pow a 3) (pow b 5))) (+ (* -3/2 (/ a (* b (pow c 2)))) (* -9/8 (/ (pow a 2) (* (pow b 3) c)))))) (taylor inf c) (#s(alt (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b))) (patch (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b))) #<representation binary64>) () ())) ()) |
#s(alt (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 5))) (taylor -inf c) (#s(alt (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b))) (patch (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow c 3) (+ (* 9/8 (/ (pow a 2) (* (pow b 3) c))) (* 27/16 (/ (pow a 3) (pow b 5)))))) (taylor -inf c) (#s(alt (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b))) (patch (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow c 3) (+ (* -1 (/ (+ (* -3/2 (/ a (* b c))) (* -9/8 (/ (pow a 2) (pow b 3)))) c)) (* 27/16 (/ (pow a 3) (pow b 5)))))) (taylor -inf c) (#s(alt (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b))) (patch (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow c 3) (+ (* -1 (/ (+ (* -3/2 (/ a (* b c))) (* -9/8 (/ (pow a 2) (pow b 3)))) c)) (* 27/16 (/ (pow a 3) (pow b 5)))))) (taylor -inf c) (#s(alt (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b))) (patch (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b))) #<representation binary64>) () ())) ()) |
#s(alt (* -3/2 (/ (* a c) b)) (taylor 0 a) (#s(alt (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b))) (patch (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) (taylor 0 a) (#s(alt (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b))) (patch (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) (taylor 0 a) (#s(alt (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b))) (patch (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) (taylor 0 a) (#s(alt (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b))) (patch (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b))) #<representation binary64>) () ())) ()) |
#s(alt (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 5))) (taylor inf a) (#s(alt (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b))) (patch (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 3) (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -9/8 (/ (pow c 2) (* a (pow b 3)))))) (taylor inf a) (#s(alt (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b))) (patch (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 3) (+ (* -27/16 (/ (pow c 3) (pow b 5))) (+ (* -3/2 (/ c (* (pow a 2) b))) (* -9/8 (/ (pow c 2) (* a (pow b 3))))))) (taylor inf a) (#s(alt (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b))) (patch (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 3) (+ (* -27/16 (/ (pow c 3) (pow b 5))) (+ (* -3/2 (/ c (* (pow a 2) b))) (* -9/8 (/ (pow c 2) (* a (pow b 3))))))) (taylor inf a) (#s(alt (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b))) (patch (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b))) #<representation binary64>) () ())) ()) |
#s(alt (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 5))) (taylor -inf a) (#s(alt (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b))) (patch (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -3/2 (/ c (* a b))) (* -9/8 (/ (pow c 2) (pow b 3)))) a)) (* 27/16 (/ (pow c 3) (pow b 5)))))) (taylor -inf a) (#s(alt (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b))) (patch (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b))) #<representation binary64>) () ())) ()) |
#s(alt (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 5))) (taylor 0 b) (#s(alt (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b))) (patch (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -27/16 (* (pow a 3) (pow c 3))) (* -9/8 (* (pow a 2) (* (pow b 2) (pow c 2))))) (pow b 5)) (taylor 0 b) (#s(alt (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b))) (patch (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -27/16 (* (pow a 3) (pow c 3))) (* (pow b 2) (+ (* -3/2 (* a (* (pow b 2) c))) (* -9/8 (* (pow a 2) (pow c 2)))))) (pow b 5)) (taylor 0 b) (#s(alt (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b))) (patch (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) (taylor inf b) (#s(alt (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b))) (patch (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) (taylor inf b) (#s(alt (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b))) (patch (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* (pow a 3) c) (pow b 2)) (taylor -inf b) (#s(alt (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (patch (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (pow a 3) c) (pow b 2)) (taylor -inf b) (#s(alt (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (patch (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (pow a 3) c) (pow b 2)) (taylor -inf b) (#s(alt (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (patch (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* -9/8 (/ (pow a 2) (pow b 3))) (taylor 0 c) (#s(alt (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b))) (patch (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))) (taylor 0 c) (#s(alt (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b))) (patch (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))) (taylor 0 c) (#s(alt (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b))) (patch (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))) (taylor 0 c) (#s(alt (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b))) (patch (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (taylor inf c) (#s(alt (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b))) (patch (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -9/8 (/ (pow a 2) (* (pow b 3) c))))) (taylor inf c) (#s(alt (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b))) (patch (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -9/8 (/ (pow a 2) (* (pow b 3) c))))) (taylor inf c) (#s(alt (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b))) (patch (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -9/8 (/ (pow a 2) (* (pow b 3) c))))) (taylor inf c) (#s(alt (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b))) (patch (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (taylor -inf c) (#s(alt (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b))) (patch (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* 9/8 (/ (pow a 2) (* (pow b 3) c))) (* 27/16 (/ (pow a 3) (pow b 5)))))) (taylor -inf c) (#s(alt (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b))) (patch (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* 9/8 (/ (pow a 2) (* (pow b 3) c))) (* 27/16 (/ (pow a 3) (pow b 5)))))) (taylor -inf c) (#s(alt (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b))) (patch (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* 9/8 (/ (pow a 2) (* (pow b 3) c))) (* 27/16 (/ (pow a 3) (pow b 5)))))) (taylor -inf c) (#s(alt (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b))) (patch (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* -9/8 (/ (pow a 2) (pow b 3))) (taylor 0 a) (#s(alt (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b))) (patch (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (- (* -27/16 (/ (* a c) (pow b 5))) (* 9/8 (/ 1 (pow b 3))))) (taylor 0 a) (#s(alt (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b))) (patch (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (- (* -27/16 (/ (* a c) (pow b 5))) (* 9/8 (/ 1 (pow b 3))))) (taylor 0 a) (#s(alt (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b))) (patch (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (- (* -27/16 (/ (* a c) (pow b 5))) (* 9/8 (/ 1 (pow b 3))))) (taylor 0 a) (#s(alt (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b))) (patch (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (taylor inf a) (#s(alt (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b))) (patch (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 3) (- (* -27/16 (/ c (pow b 5))) (* 9/8 (/ 1 (* a (pow b 3)))))) (taylor inf a) (#s(alt (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b))) (patch (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 3) (- (* -27/16 (/ c (pow b 5))) (* 9/8 (/ 1 (* a (pow b 3)))))) (taylor inf a) (#s(alt (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b))) (patch (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 3) (- (* -27/16 (/ c (pow b 5))) (* 9/8 (/ 1 (* a (pow b 3)))))) (taylor inf a) (#s(alt (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b))) (patch (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (taylor -inf a) (#s(alt (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b))) (patch (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow a 3) (+ (* 27/16 (/ c (pow b 5))) (* 9/8 (/ 1 (* a (pow b 3))))))) (taylor -inf a) (#s(alt (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b))) (patch (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow a 3) (+ (* 27/16 (/ c (pow b 5))) (* 9/8 (/ 1 (* a (pow b 3))))))) (taylor -inf a) (#s(alt (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b))) (patch (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow a 3) (+ (* 27/16 (/ c (pow b 5))) (* 9/8 (/ 1 (* a (pow b 3))))))) (taylor -inf a) (#s(alt (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b))) (patch (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (taylor 0 b) (#s(alt (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b))) (patch (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -27/16 (* (pow a 3) c)) (* -9/8 (* (pow a 2) (pow b 2)))) (pow b 5)) (taylor 0 b) (#s(alt (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b))) (patch (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -27/16 (* (pow a 3) c)) (* -9/8 (* (pow a 2) (pow b 2)))) (pow b 5)) (taylor 0 b) (#s(alt (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b))) (patch (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -27/16 (* (pow a 3) c)) (* -9/8 (* (pow a 2) (pow b 2)))) (pow b 5)) (taylor 0 b) (#s(alt (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b))) (patch (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* -9/8 (/ (pow a 2) (pow b 3))) (taylor inf b) (#s(alt (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b))) (patch (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -27/16 (/ (* (pow a 3) c) (pow b 2))) (* -9/8 (pow a 2))) (pow b 3)) (taylor inf b) (#s(alt (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b))) (patch (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -27/16 (/ (* (pow a 3) c) (pow b 2))) (* -9/8 (pow a 2))) (pow b 3)) (taylor inf b) (#s(alt (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b))) (patch (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -27/16 (/ (* (pow a 3) c) (pow b 2))) (* -9/8 (pow a 2))) (pow b 3)) (taylor inf b) (#s(alt (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b))) (patch (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* -9/8 (/ (pow a 2) (pow b 3))) (taylor -inf b) (#s(alt (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b))) (patch (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* 9/8 (pow a 2)) (* 27/16 (/ (* (pow a 3) c) (pow b 2)))) (pow b 3))) (taylor -inf b) (#s(alt (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b))) (patch (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* 9/8 (pow a 2)) (* 27/16 (/ (* (pow a 3) c) (pow b 2)))) (pow b 3))) (taylor -inf b) (#s(alt (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b))) (patch (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* 9/8 (pow a 2)) (* 27/16 (/ (* (pow a 3) c) (pow b 2)))) (pow b 3))) (taylor -inf b) (#s(alt (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b))) (patch (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ()) |
204 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 13.0ms | c | @ | -inf | (/ (* c (* a (* a a))) (* b b)) |
| 3.0ms | a | @ | inf | (/ (* c (* a (* a a))) (* b b)) |
| 1.0ms | a | @ | inf | (+ (* -27/16 (/ (* c (* a (* a a))) (* b b))) (* (* a a) -9/8)) |
| 1.0ms | c | @ | 0 | (+ (* -27/16 (/ (* c (* a (* a a))) (* b b))) (* (* a a) -9/8)) |
| 0.0ms | a | @ | 0 | (+ (* -27/16 (/ (* c (* a (* a a))) (* b b))) (* (* a a) -9/8)) |
| 1× | egg-herbie |
| 7 864× | lower-*.f64 |
| 7 864× | lower-*.f32 |
| 7 598× | lower-fma.f64 |
| 7 598× | lower-fma.f32 |
| 5 174× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1270 | 16341 |
| 1 | 4195 | 16041 |
| 0 | 8598 | 15404 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) |
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (/ b (* a (pow (sqrt -3) 2)))) |
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* b (+ (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))))) (/ 1 (* a (pow (sqrt -3) 2)))))) |
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* b (+ (* b (+ (* -1 (* b (- (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -3) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3))))) (sqrt -3))))))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3))))))) (/ 1 (* a (pow (sqrt -3) 2)))))) |
(* -1/2 (/ c b)) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -27/32 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -27/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))))))) b) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -3/4 (/ (* a (pow c 2)) (pow b 4))) (+ (* -1/2 (/ c (pow b 2))) (+ (* 3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -1 (* b (+ (* -3/4 (/ (* a (* c (+ (* -3/4 (* a (pow c 2))) (* 3/8 (* a (pow c 2)))))) (pow b 6))) (+ (* -3/4 (/ (* a (pow c 2)) (pow b 4))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (* (pow b 6) c)))) (+ (* 3/8 (/ (* a (pow c 2)) (pow b 4))) (+ (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (* 2/3 (/ 1 a)))))))))) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* a (+ (* -27/32 (/ (pow c 4) (pow b 7))) (* -27/128 (/ (pow c 4) (pow b 7)))))))))) |
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) |
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (/ b (pow (sqrt -3) 2))) a) |
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (/ b (pow (sqrt -3) 2))))) a) |
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (+ (* -1/2 (/ (pow b 3) (* a (* c (pow (sqrt -3) 4))))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (/ b (pow (sqrt -3) 2))))))) a) |
(* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (/ b (pow (sqrt 3) 2))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ (* a b) (pow (sqrt 3) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ (* a b) (pow (sqrt 3) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt 3) 4))))) a)) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) a))) a))) a)) |
(* -1/2 (/ c b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* c (+ (* -27/32 (/ (pow a 3) (pow b 7))) (* -27/128 (/ (pow a 3) (pow b 7))))))))) (* 1/2 (/ 1 b)))) |
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) |
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (/ b (* a (pow (sqrt -3) 2)))) |
(- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (pow c 2)))) (* -1 (/ b (* a (pow (sqrt -3) 2))))) |
(- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (sqrt -3)))) (* 1/2 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -3) 4))))) (pow c 3)))) (+ (* -1 (/ b (* a (pow (sqrt -3) 2)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3)))))) |
(* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))) |
(+ (* -1 (/ b (* a (pow (sqrt 3) 2)))) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) |
(+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) (* -1 (/ (* b c) (* a (pow (sqrt 3) 2))))) c)) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow b 3) c) (* (pow a 2) (pow (sqrt 3) 4))))) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) c)) (* -1 (/ (* b c) (* a (pow (sqrt 3) 2))))) c)) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) |
(* 3 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) |
(+ (* -3 (/ b (* a (pow (sqrt -3) 2)))) (* 3 (* (sqrt (/ c a)) (/ 1 (sqrt -3))))) |
(+ (* 3 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* b (- (* -3 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3))))))) (* 3 (/ 1 (* a (pow (sqrt -3) 2))))))) |
(+ (* 3 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* b (- (* b (+ (* -3 (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))))) (* 3 (* b (- (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -3) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3))))) (sqrt -3))))))))) (* 3 (/ 1 (* a (pow (sqrt -3) 2))))))) |
(* 3/2 (/ c b)) |
(/ (+ (* 9/8 (/ (* a (pow c 2)) (pow b 2))) (* 3/2 c)) b) |
(/ (+ (* 9/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 3/2 c) (* 27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b) |
(/ (+ (* -3 (/ (+ (* -27/32 (* (pow a 3) (pow c 4))) (* -27/128 (* (pow a 3) (pow c 4)))) (pow b 6))) (+ (* 9/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 3/2 c) (* 27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4)))))) b) |
(* 2 (/ b a)) |
(* -1 (* b (- (* 3/2 (/ c (pow b 2))) (* 2 (/ 1 a))))) |
(* -1 (* b (- (+ (* -3 (/ (+ (* -3/4 (* a (pow c 2))) (* 3/8 (* a (pow c 2)))) (pow b 4))) (* 3/2 (/ c (pow b 2)))) (* 2 (/ 1 a))))) |
(* -1 (* b (- (+ (* -3 (/ (+ (* -3/4 (* a (* c (+ (* -3/4 (* a (pow c 2))) (* 3/8 (* a (pow c 2))))))) (+ (* -2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))) (* 9/16 (* (pow a 2) (pow c 3))))) (pow b 6))) (+ (* -3 (/ (+ (* -3/4 (* a (pow c 2))) (* 3/8 (* a (pow c 2)))) (pow b 4))) (* 3/2 (/ c (pow b 2))))) (* 2 (/ 1 a))))) |
(* 3/2 (/ c b)) |
(+ (* 9/8 (/ (* a (pow c 2)) (pow b 3))) (* 3/2 (/ c b))) |
(+ (* 3/2 (/ c b)) (* a (+ (* 9/8 (/ (pow c 2) (pow b 3))) (* 27/16 (/ (* a (pow c 3)) (pow b 5)))))) |
(+ (* 3/2 (/ c b)) (* a (+ (* 9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -3 (* a (+ (* -27/32 (/ (pow c 4) (pow b 7))) (* -27/128 (/ (pow c 4) (pow b 7)))))) (* 27/16 (/ (pow c 3) (pow b 5)))))))) |
(* 3 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) |
(/ (+ (* -3 (/ b (pow (sqrt -3) 2))) (* 3 (* (sqrt (* a c)) (/ 1 (sqrt -3))))) a) |
(/ (+ (* -3 (/ b (pow (sqrt -3) 2))) (+ (* -3 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow a 2))) (* 3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))))) a) |
(/ (+ (* -3 (/ b (pow (sqrt -3) 2))) (+ (* -3 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -3) 4))))) (pow a 3))) (+ (* -3 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow a 2))) (* 3 (* (sqrt (* a c)) (/ 1 (sqrt -3))))))) a) |
(* -3 (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) |
(* -1 (/ (+ (* -3 (/ b (pow (sqrt 3) 2))) (* 3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3))))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* 3 (/ (* a b) (pow (sqrt 3) 2))) (* 3 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a)) (* 3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3))))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -3 (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) (* 3 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt 3) 4))))) a))) a)) (* 3 (/ (* a b) (pow (sqrt 3) 2)))) a)) (* 3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3))))) a)) |
(* 3/2 (/ c b)) |
(* c (+ (* 9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b)))) |
(* c (+ (* c (+ (* 9/8 (/ a (pow b 3))) (* 27/16 (/ (* (pow a 2) c) (pow b 5))))) (* 3/2 (/ 1 b)))) |
(* c (+ (* c (+ (* 9/8 (/ a (pow b 3))) (* c (+ (* -3 (* c (+ (* -27/32 (/ (pow a 3) (pow b 7))) (* -27/128 (/ (pow a 3) (pow b 7)))))) (* 27/16 (/ (pow a 2) (pow b 5))))))) (* 3/2 (/ 1 b)))) |
(* 3 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) |
(+ (* -3 (/ b (* a (pow (sqrt -3) 2)))) (* 3 (* (sqrt (/ c a)) (/ 1 (sqrt -3))))) |
(- (+ (* -1 (/ (+ (* -3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow c 2))) (* 3 (* (sqrt (/ c a)) (/ 1 (sqrt -3))))) (* 3 (/ b (* a (pow (sqrt -3) 2))))) |
(- (+ (* -1 (/ (+ (* -3/2 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -3) 4)))) (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3))))) (pow c 3))) (* 3 (* (sqrt (/ c a)) (/ 1 (sqrt -3))))) (+ (* -3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* 3/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3 (/ b (* a (pow (sqrt -3) 2))))))) |
(* -3 (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) |
(+ (* -3 (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) (* 3 (/ b (* a (pow (sqrt 3) 2))))) |
(+ (* -3 (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (- (+ (* -3/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) (* 3 (/ (* b c) (* a (pow (sqrt 3) 2))))) c))) |
(+ (* -3 (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -3/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* 3/2 (/ (* (pow b 3) c) (* (pow a 2) (pow (sqrt 3) 4))))) (+ (* -3/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) c)) (* 3 (/ (* b c) (* a (pow (sqrt 3) 2))))) c))) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(* -1/2 (/ c b)) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* -1/2 (/ c b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(* (sqrt (* a c)) (sqrt -3)) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(* -3/2 (/ (* a c) b)) |
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* -2 b) |
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -3/2 (/ (* a c) b)) |
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -3/2 (/ (* a c) b)) |
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(* -1/2 (/ c b)) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* -1/2 (/ c b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
b |
(+ b (* -3/2 (/ (* a c) b))) |
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
b |
(+ b (* -3/2 (/ (* a c) b))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))))) |
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5))))))))) |
b |
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 b) |
(* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* 3/2 c) |
(* c (+ 3/2 (* 9/8 (/ (* a c) (pow b 2))))) |
(* c (+ 3/2 (* 9/8 (/ (* a c) (pow b 2))))) |
(* c (+ 3/2 (* 9/8 (/ (* a c) (pow b 2))))) |
(* 9/8 (/ (* a (pow c 2)) (pow b 2))) |
(* (pow c 2) (+ (* 9/8 (/ a (pow b 2))) (* 3/2 (/ 1 c)))) |
(* (pow c 2) (+ (* 9/8 (/ a (pow b 2))) (* 3/2 (/ 1 c)))) |
(* (pow c 2) (+ (* 9/8 (/ a (pow b 2))) (* 3/2 (/ 1 c)))) |
(* 9/8 (/ (* a (pow c 2)) (pow b 2))) |
(* (pow c 2) (+ (* 9/8 (/ a (pow b 2))) (* 3/2 (/ 1 c)))) |
(* (pow c 2) (+ (* 9/8 (/ a (pow b 2))) (* 3/2 (/ 1 c)))) |
(* (pow c 2) (+ (* 9/8 (/ a (pow b 2))) (* 3/2 (/ 1 c)))) |
(* 3/2 c) |
(+ (* 9/8 (/ (* a (pow c 2)) (pow b 2))) (* 3/2 c)) |
(+ (* 9/8 (/ (* a (pow c 2)) (pow b 2))) (* 3/2 c)) |
(+ (* 9/8 (/ (* a (pow c 2)) (pow b 2))) (* 3/2 c)) |
(* 9/8 (/ (* a (pow c 2)) (pow b 2))) |
(* a (+ (* 9/8 (/ (pow c 2) (pow b 2))) (* 3/2 (/ c a)))) |
(* a (+ (* 9/8 (/ (pow c 2) (pow b 2))) (* 3/2 (/ c a)))) |
(* a (+ (* 9/8 (/ (pow c 2) (pow b 2))) (* 3/2 (/ c a)))) |
(* 9/8 (/ (* a (pow c 2)) (pow b 2))) |
(* -1 (* a (+ (* -3/2 (/ c a)) (* -9/8 (/ (pow c 2) (pow b 2)))))) |
(* -1 (* a (+ (* -3/2 (/ c a)) (* -9/8 (/ (pow c 2) (pow b 2)))))) |
(* -1 (* a (+ (* -3/2 (/ c a)) (* -9/8 (/ (pow c 2) (pow b 2)))))) |
(* 9/8 (/ (* a (pow c 2)) (pow b 2))) |
(/ (+ (* 9/8 (* a (pow c 2))) (* 3/2 (* (pow b 2) c))) (pow b 2)) |
(/ (+ (* 9/8 (* a (pow c 2))) (* 3/2 (* (pow b 2) c))) (pow b 2)) |
(/ (+ (* 9/8 (* a (pow c 2))) (* 3/2 (* (pow b 2) c))) (pow b 2)) |
(* 3/2 c) |
(+ (* 9/8 (/ (* a (pow c 2)) (pow b 2))) (* 3/2 c)) |
(+ (* 9/8 (/ (* a (pow c 2)) (pow b 2))) (* 3/2 c)) |
(+ (* 9/8 (/ (* a (pow c 2)) (pow b 2))) (* 3/2 c)) |
(* 3/2 c) |
(+ (* 9/8 (/ (* a (pow c 2)) (pow b 2))) (* 3/2 c)) |
(+ (* 9/8 (/ (* a (pow c 2)) (pow b 2))) (* 3/2 c)) |
(+ (* 9/8 (/ (* a (pow c 2)) (pow b 2))) (* 3/2 c)) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(* -1/2 (/ c b)) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* -1/2 (/ c b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -3))) (/ b a)) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -3))) (* b (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (/ 1 a)))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -3))) (* b (+ (* b (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (/ 1 a)))) |
(* 3/2 (/ c b)) |
(/ (+ (* 9/8 (/ (* a (pow c 2)) (pow b 2))) (* 3/2 c)) b) |
(/ (+ (* 9/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 3/2 c) (* 27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b) |
(/ (+ (* 1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 9/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 3/2 c) (* 27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4)))))) b) |
(* 2 (/ b a)) |
(* -1 (* b (- (* 3/2 (/ c (pow b 2))) (* 2 (/ 1 a))))) |
(* -1 (* b (- (+ (* 9/8 (/ (* a (pow c 2)) (pow b 4))) (* 3/2 (/ c (pow b 2)))) (* 2 (/ 1 a))))) |
(* -1 (* b (- (+ (* 9/8 (/ (* a (pow c 2)) (pow b 4))) (+ (* 3/2 (/ c (pow b 2))) (* 27/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))))) (* 2 (/ 1 a))))) |
(* 3/2 (/ c b)) |
(+ (* 9/8 (/ (* a (pow c 2)) (pow b 3))) (* 3/2 (/ c b))) |
(+ (* 3/2 (/ c b)) (* a (+ (* 9/8 (/ (pow c 2) (pow b 3))) (* 27/16 (/ (* a (pow c 3)) (pow b 5)))))) |
(+ (* 3/2 (/ c b)) (* a (+ (* 9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* 1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)) (* 27/16 (/ (pow c 3) (pow b 5)))))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -3))) (/ b a)) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (/ b a)))) |
(* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) |
(+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)) |
(+ (* -1 (/ (+ (* -1 b) (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(* 3/2 (/ c b)) |
(* c (+ (* 9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b)))) |
(* c (+ (* c (+ (* 9/8 (/ a (pow b 3))) (* 27/16 (/ (* (pow a 2) c) (pow b 5))))) (* 3/2 (/ 1 b)))) |
(* c (+ (* c (+ (* 9/8 (/ a (pow b 3))) (* c (+ (* 1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))) (* 27/16 (/ (pow a 2) (pow b 5))))))) (* 3/2 (/ 1 b)))) |
(* -1 (* (sqrt (/ c a)) (sqrt -3))) |
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (/ b (* a c)))) |
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (/ b (* a c))))) |
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (/ b (* a c)))))) |
(* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* -1 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (/ b a)) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) c)) (/ b a)) c))))) |
(* 3/2 (/ c b)) |
(* c (+ (* 9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b)))) |
(* c (+ (* 9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b)))) |
(* c (+ (* 9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b)))) |
(* 9/8 (/ (* a (pow c 2)) (pow b 3))) |
(* (pow c 2) (+ (* 9/8 (/ a (pow b 3))) (* 3/2 (/ 1 (* b c))))) |
(* (pow c 2) (+ (* 9/8 (/ a (pow b 3))) (* 3/2 (/ 1 (* b c))))) |
(* (pow c 2) (+ (* 9/8 (/ a (pow b 3))) (* 3/2 (/ 1 (* b c))))) |
(* 9/8 (/ (* a (pow c 2)) (pow b 3))) |
(* (pow c 2) (+ (* 9/8 (/ a (pow b 3))) (* 3/2 (/ 1 (* b c))))) |
(* (pow c 2) (+ (* 9/8 (/ a (pow b 3))) (* 3/2 (/ 1 (* b c))))) |
(* (pow c 2) (+ (* 9/8 (/ a (pow b 3))) (* 3/2 (/ 1 (* b c))))) |
(* 3/2 (/ c b)) |
(+ (* 9/8 (/ (* a (pow c 2)) (pow b 3))) (* 3/2 (/ c b))) |
(+ (* 9/8 (/ (* a (pow c 2)) (pow b 3))) (* 3/2 (/ c b))) |
(+ (* 9/8 (/ (* a (pow c 2)) (pow b 3))) (* 3/2 (/ c b))) |
(* 9/8 (/ (* a (pow c 2)) (pow b 3))) |
(* a (+ (* 9/8 (/ (pow c 2) (pow b 3))) (* 3/2 (/ c (* a b))))) |
(* a (+ (* 9/8 (/ (pow c 2) (pow b 3))) (* 3/2 (/ c (* a b))))) |
(* a (+ (* 9/8 (/ (pow c 2) (pow b 3))) (* 3/2 (/ c (* a b))))) |
(* 9/8 (/ (* a (pow c 2)) (pow b 3))) |
(* -1 (* a (+ (* -3/2 (/ c (* a b))) (* -9/8 (/ (pow c 2) (pow b 3)))))) |
(* -1 (* a (+ (* -3/2 (/ c (* a b))) (* -9/8 (/ (pow c 2) (pow b 3)))))) |
(* -1 (* a (+ (* -3/2 (/ c (* a b))) (* -9/8 (/ (pow c 2) (pow b 3)))))) |
(* 9/8 (/ (* a (pow c 2)) (pow b 3))) |
(/ (+ (* 9/8 (* a (pow c 2))) (* 3/2 (* (pow b 2) c))) (pow b 3)) |
(/ (+ (* 9/8 (* a (pow c 2))) (* 3/2 (* (pow b 2) c))) (pow b 3)) |
(/ (+ (* 9/8 (* a (pow c 2))) (* 3/2 (* (pow b 2) c))) (pow b 3)) |
(* 3/2 (/ c b)) |
(/ (+ (* 9/8 (/ (* a (pow c 2)) (pow b 2))) (* 3/2 c)) b) |
(/ (+ (* 9/8 (/ (* a (pow c 2)) (pow b 2))) (* 3/2 c)) b) |
(/ (+ (* 9/8 (/ (* a (pow c 2)) (pow b 2))) (* 3/2 c)) b) |
(* 3/2 (/ c b)) |
(* -1 (/ (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -9/8 (pow a 2)) |
(+ (* -27/16 (/ (* (pow a 3) c) (pow b 2))) (* -9/8 (pow a 2))) |
(+ (* -27/16 (/ (* (pow a 3) c) (pow b 2))) (* -9/8 (pow a 2))) |
(+ (* -27/16 (/ (* (pow a 3) c) (pow b 2))) (* -9/8 (pow a 2))) |
(* -27/16 (/ (* (pow a 3) c) (pow b 2))) |
(* c (+ (* -27/16 (/ (pow a 3) (pow b 2))) (* -9/8 (/ (pow a 2) c)))) |
(* c (+ (* -27/16 (/ (pow a 3) (pow b 2))) (* -9/8 (/ (pow a 2) c)))) |
(* c (+ (* -27/16 (/ (pow a 3) (pow b 2))) (* -9/8 (/ (pow a 2) c)))) |
(* -27/16 (/ (* (pow a 3) c) (pow b 2))) |
(* -1 (* c (+ (* 9/8 (/ (pow a 2) c)) (* 27/16 (/ (pow a 3) (pow b 2)))))) |
(* -1 (* c (+ (* 9/8 (/ (pow a 2) c)) (* 27/16 (/ (pow a 3) (pow b 2)))))) |
(* -1 (* c (+ (* 9/8 (/ (pow a 2) c)) (* 27/16 (/ (pow a 3) (pow b 2)))))) |
(* -9/8 (pow a 2)) |
(* (pow a 2) (- (* -27/16 (/ (* a c) (pow b 2))) 9/8)) |
(* (pow a 2) (- (* -27/16 (/ (* a c) (pow b 2))) 9/8)) |
(* (pow a 2) (- (* -27/16 (/ (* a c) (pow b 2))) 9/8)) |
(* -27/16 (/ (* (pow a 3) c) (pow b 2))) |
(* (pow a 3) (- (* -27/16 (/ c (pow b 2))) (* 9/8 (/ 1 a)))) |
(* (pow a 3) (- (* -27/16 (/ c (pow b 2))) (* 9/8 (/ 1 a)))) |
(* (pow a 3) (- (* -27/16 (/ c (pow b 2))) (* 9/8 (/ 1 a)))) |
(* -27/16 (/ (* (pow a 3) c) (pow b 2))) |
(* -1 (* (pow a 3) (+ (* 27/16 (/ c (pow b 2))) (* 9/8 (/ 1 a))))) |
(* -1 (* (pow a 3) (+ (* 27/16 (/ c (pow b 2))) (* 9/8 (/ 1 a))))) |
(* -1 (* (pow a 3) (+ (* 27/16 (/ c (pow b 2))) (* 9/8 (/ 1 a))))) |
(* -27/16 (/ (* (pow a 3) c) (pow b 2))) |
(/ (+ (* -27/16 (* (pow a 3) c)) (* -9/8 (* (pow a 2) (pow b 2)))) (pow b 2)) |
(/ (+ (* -27/16 (* (pow a 3) c)) (* -9/8 (* (pow a 2) (pow b 2)))) (pow b 2)) |
(/ (+ (* -27/16 (* (pow a 3) c)) (* -9/8 (* (pow a 2) (pow b 2)))) (pow b 2)) |
(* -9/8 (pow a 2)) |
(+ (* -27/16 (/ (* (pow a 3) c) (pow b 2))) (* -9/8 (pow a 2))) |
(+ (* -27/16 (/ (* (pow a 3) c) (pow b 2))) (* -9/8 (pow a 2))) |
(+ (* -27/16 (/ (* (pow a 3) c) (pow b 2))) (* -9/8 (pow a 2))) |
(* -9/8 (pow a 2)) |
(+ (* -27/16 (/ (* (pow a 3) c) (pow b 2))) (* -9/8 (pow a 2))) |
(+ (* -27/16 (/ (* (pow a 3) c) (pow b 2))) (* -9/8 (pow a 2))) |
(+ (* -27/16 (/ (* (pow a 3) c) (pow b 2))) (* -9/8 (pow a 2))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(* -1/2 (/ c b)) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* -1/2 (/ c b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(* -3/2 (/ (* a c) b)) |
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* -2 b) |
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -3/2 (/ (* a c) b)) |
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -3/2 (/ (* a c) b)) |
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -3/2 (/ (* a c) b)) |
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))) |
(* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 5))) |
(* (pow c 3) (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -9/8 (/ (pow a 2) (* (pow b 3) c))))) |
(* (pow c 3) (+ (* -27/16 (/ (pow a 3) (pow b 5))) (+ (* -3/2 (/ a (* b (pow c 2)))) (* -9/8 (/ (pow a 2) (* (pow b 3) c)))))) |
(* (pow c 3) (+ (* -27/16 (/ (pow a 3) (pow b 5))) (+ (* -3/2 (/ a (* b (pow c 2)))) (* -9/8 (/ (pow a 2) (* (pow b 3) c)))))) |
(* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 5))) |
(* -1 (* (pow c 3) (+ (* 9/8 (/ (pow a 2) (* (pow b 3) c))) (* 27/16 (/ (pow a 3) (pow b 5)))))) |
(* -1 (* (pow c 3) (+ (* -1 (/ (+ (* -3/2 (/ a (* b c))) (* -9/8 (/ (pow a 2) (pow b 3)))) c)) (* 27/16 (/ (pow a 3) (pow b 5)))))) |
(* -1 (* (pow c 3) (+ (* -1 (/ (+ (* -3/2 (/ a (* b c))) (* -9/8 (/ (pow a 2) (pow b 3)))) c)) (* 27/16 (/ (pow a 3) (pow b 5)))))) |
(* -3/2 (/ (* a c) b)) |
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 5))) |
(* (pow a 3) (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -9/8 (/ (pow c 2) (* a (pow b 3)))))) |
(* (pow a 3) (+ (* -27/16 (/ (pow c 3) (pow b 5))) (+ (* -3/2 (/ c (* (pow a 2) b))) (* -9/8 (/ (pow c 2) (* a (pow b 3))))))) |
(* (pow a 3) (+ (* -27/16 (/ (pow c 3) (pow b 5))) (+ (* -3/2 (/ c (* (pow a 2) b))) (* -9/8 (/ (pow c 2) (* a (pow b 3))))))) |
(* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 5))) |
(* -1 (* (pow a 3) (+ (* 9/8 (/ (pow c 2) (* a (pow b 3)))) (* 27/16 (/ (pow c 3) (pow b 5)))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -3/2 (/ c (* a b))) (* -9/8 (/ (pow c 2) (pow b 3)))) a)) (* 27/16 (/ (pow c 3) (pow b 5)))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -3/2 (/ c (* a b))) (* -9/8 (/ (pow c 2) (pow b 3)))) a)) (* 27/16 (/ (pow c 3) (pow b 5)))))) |
(* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 5))) |
(/ (+ (* -27/16 (* (pow a 3) (pow c 3))) (* -9/8 (* (pow a 2) (* (pow b 2) (pow c 2))))) (pow b 5)) |
(/ (+ (* -27/16 (* (pow a 3) (pow c 3))) (* (pow b 2) (+ (* -3/2 (* a (* (pow b 2) c))) (* -9/8 (* (pow a 2) (pow c 2)))))) (pow b 5)) |
(/ (+ (* -27/16 (* (pow a 3) (pow c 3))) (* (pow b 2) (+ (* -3/2 (* a (* (pow b 2) c))) (* -9/8 (* (pow a 2) (pow c 2)))))) (pow b 5)) |
(* -3/2 (/ (* a c) b)) |
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(* -3/2 (/ (* a c) b)) |
(* -1 (/ (+ (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 3/2 (* a c))) b)) |
(* -1 (/ (+ (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* 3/2 (* a c)) (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))))) b)) |
(* -1 (/ (+ (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* 3/2 (* a c)) (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))))) b)) |
(* (sqrt (* a c)) (sqrt -3)) |
(+ b (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))))) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (+ 1 (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))) (* (sqrt (* a c)) (sqrt -3))) |
(* 2 b) |
(* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))) |
(* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* 3/2 (/ (* a c) b)) |
(* -1 (/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)) |
(* 2 b) |
(+ (* -3/2 (/ (* a c) b)) (* 2 b)) |
(+ (* 2 b) (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ (* 2 b) (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* a (+ (* (sqrt (/ c a)) (sqrt -3)) (/ b a))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ c a)) (sqrt -3)) (/ b a)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ c a)) (sqrt -3)) (/ b a))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1 (/ (+ b (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* 2 b) |
(+ (* -3/2 (/ (* a c) b)) (* 2 b)) |
(+ (* 2 b) (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ (* 2 b) (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* c (+ (* (sqrt (/ a c)) (sqrt -3)) (/ b c))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ a c)) (sqrt -3)) (/ b c)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ a c)) (sqrt -3)) (/ b c))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (+ b (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* 9/8 (/ (* a (pow c 2)) (pow b 2))) |
(* 9/8 (/ (* a (pow c 2)) (pow b 2))) |
(* 9/8 (/ (* a (pow c 2)) (pow b 2))) |
(* 9/8 (/ (* a (pow c 2)) (pow b 2))) |
(* 9/8 (/ (* a (pow c 2)) (pow b 2))) |
(* 9/8 (/ (* a (pow c 2)) (pow b 2))) |
(* 9/8 (/ (* a (pow c 2)) (pow b 2))) |
(* 9/8 (/ (* a (pow c 2)) (pow b 2))) |
(* 9/8 (/ (* a (pow c 2)) (pow b 2))) |
(* 9/8 (/ (* a (pow c 2)) (pow b 2))) |
(* 9/8 (/ (* a (pow c 2)) (pow b 2))) |
(* 9/8 (/ (* a (pow c 2)) (pow b 2))) |
(* 9/8 (/ (* a (pow c 2)) (pow b 2))) |
(* 9/8 (/ (* a (pow c 2)) (pow b 2))) |
(* 9/8 (/ (* a (pow c 2)) (pow b 2))) |
(* 9/8 (/ (* a (pow c 2)) (pow b 2))) |
(* 9/8 (/ (* a (pow c 2)) (pow b 2))) |
(* 9/8 (/ (* a (pow c 2)) (pow b 2))) |
(* 9/8 (/ (* a (pow c 2)) (pow b 2))) |
(* 9/8 (/ (* a (pow c 2)) (pow b 2))) |
(* 9/8 (/ (* a (pow c 2)) (pow b 2))) |
(* 9/8 (/ (* a (pow c 2)) (pow b 2))) |
(* 9/8 (/ (* a (pow c 2)) (pow b 2))) |
(* 9/8 (/ (* a (pow c 2)) (pow b 2))) |
(* 9/8 (/ (* a (pow c 2)) (pow b 2))) |
(* 9/8 (/ (* a (pow c 2)) (pow b 2))) |
(* 9/8 (/ (* a (pow c 2)) (pow b 2))) |
(* 9/8 (/ (* a (pow c 2)) (pow b 2))) |
(* 9/8 (/ (* a (pow c 2)) (pow b 2))) |
(* 9/8 (/ (* a (pow c 2)) (pow b 2))) |
(* 9/8 (/ (* a (pow c 2)) (pow b 2))) |
(* 9/8 (/ (* a (pow c 2)) (pow b 2))) |
(* 9/8 (/ (* a (pow c 2)) (pow b 2))) |
(* 9/8 (/ (* a (pow c 2)) (pow b 2))) |
(* 9/8 (/ (* a (pow c 2)) (pow b 2))) |
(* 9/8 (/ (* a (pow c 2)) (pow b 2))) |
(* 9/8 (* a (pow c 2))) |
(* 9/8 (* a (pow c 2))) |
(* 9/8 (* a (pow c 2))) |
(* 9/8 (* a (pow c 2))) |
(* 9/8 (* a (pow c 2))) |
(* 9/8 (* a (pow c 2))) |
(* 9/8 (* a (pow c 2))) |
(* 9/8 (* a (pow c 2))) |
(* 9/8 (* a (pow c 2))) |
(* 9/8 (* a (pow c 2))) |
(* 9/8 (* a (pow c 2))) |
(* 9/8 (* a (pow c 2))) |
(* 9/8 (* a (pow c 2))) |
(* 9/8 (* a (pow c 2))) |
(* 9/8 (* a (pow c 2))) |
(* 9/8 (* a (pow c 2))) |
(* 9/8 (* a (pow c 2))) |
(* 9/8 (* a (pow c 2))) |
(* 9/8 (* a (pow c 2))) |
(* 9/8 (* a (pow c 2))) |
(* 9/8 (* a (pow c 2))) |
(* 9/8 (* a (pow c 2))) |
(* 9/8 (* a (pow c 2))) |
(* 9/8 (* a (pow c 2))) |
(/ (* (pow a 3) c) (pow b 2)) |
(/ (* (pow a 3) c) (pow b 2)) |
(/ (* (pow a 3) c) (pow b 2)) |
(/ (* (pow a 3) c) (pow b 2)) |
(/ (* (pow a 3) c) (pow b 2)) |
(/ (* (pow a 3) c) (pow b 2)) |
(/ (* (pow a 3) c) (pow b 2)) |
(/ (* (pow a 3) c) (pow b 2)) |
(/ (* (pow a 3) c) (pow b 2)) |
(/ (* (pow a 3) c) (pow b 2)) |
(/ (* (pow a 3) c) (pow b 2)) |
(/ (* (pow a 3) c) (pow b 2)) |
(/ (* (pow a 3) c) (pow b 2)) |
(/ (* (pow a 3) c) (pow b 2)) |
(/ (* (pow a 3) c) (pow b 2)) |
(/ (* (pow a 3) c) (pow b 2)) |
(/ (* (pow a 3) c) (pow b 2)) |
(/ (* (pow a 3) c) (pow b 2)) |
(/ (* (pow a 3) c) (pow b 2)) |
(/ (* (pow a 3) c) (pow b 2)) |
(/ (* (pow a 3) c) (pow b 2)) |
(/ (* (pow a 3) c) (pow b 2)) |
(/ (* (pow a 3) c) (pow b 2)) |
(/ (* (pow a 3) c) (pow b 2)) |
(/ (* (pow a 3) c) (pow b 2)) |
(/ (* (pow a 3) c) (pow b 2)) |
(/ (* (pow a 3) c) (pow b 2)) |
(/ (* (pow a 3) c) (pow b 2)) |
(/ (* (pow a 3) c) (pow b 2)) |
(/ (* (pow a 3) c) (pow b 2)) |
(/ (* (pow a 3) c) (pow b 2)) |
(/ (* (pow a 3) c) (pow b 2)) |
(/ (* (pow a 3) c) (pow b 2)) |
(/ (* (pow a 3) c) (pow b 2)) |
(/ (* (pow a 3) c) (pow b 2)) |
(/ (* (pow a 3) c) (pow b 2)) |
(* -9/8 (/ (pow a 2) (pow b 3))) |
(+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))) |
(+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))) |
(+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))) |
(* -27/16 (/ (* (pow a 3) c) (pow b 5))) |
(* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -9/8 (/ (pow a 2) (* (pow b 3) c))))) |
(* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -9/8 (/ (pow a 2) (* (pow b 3) c))))) |
(* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -9/8 (/ (pow a 2) (* (pow b 3) c))))) |
(* -27/16 (/ (* (pow a 3) c) (pow b 5))) |
(* -1 (* c (+ (* 9/8 (/ (pow a 2) (* (pow b 3) c))) (* 27/16 (/ (pow a 3) (pow b 5)))))) |
(* -1 (* c (+ (* 9/8 (/ (pow a 2) (* (pow b 3) c))) (* 27/16 (/ (pow a 3) (pow b 5)))))) |
(* -1 (* c (+ (* 9/8 (/ (pow a 2) (* (pow b 3) c))) (* 27/16 (/ (pow a 3) (pow b 5)))))) |
(* -9/8 (/ (pow a 2) (pow b 3))) |
(* (pow a 2) (- (* -27/16 (/ (* a c) (pow b 5))) (* 9/8 (/ 1 (pow b 3))))) |
(* (pow a 2) (- (* -27/16 (/ (* a c) (pow b 5))) (* 9/8 (/ 1 (pow b 3))))) |
(* (pow a 2) (- (* -27/16 (/ (* a c) (pow b 5))) (* 9/8 (/ 1 (pow b 3))))) |
(* -27/16 (/ (* (pow a 3) c) (pow b 5))) |
(* (pow a 3) (- (* -27/16 (/ c (pow b 5))) (* 9/8 (/ 1 (* a (pow b 3)))))) |
(* (pow a 3) (- (* -27/16 (/ c (pow b 5))) (* 9/8 (/ 1 (* a (pow b 3)))))) |
(* (pow a 3) (- (* -27/16 (/ c (pow b 5))) (* 9/8 (/ 1 (* a (pow b 3)))))) |
(* -27/16 (/ (* (pow a 3) c) (pow b 5))) |
(* -1 (* (pow a 3) (+ (* 27/16 (/ c (pow b 5))) (* 9/8 (/ 1 (* a (pow b 3))))))) |
(* -1 (* (pow a 3) (+ (* 27/16 (/ c (pow b 5))) (* 9/8 (/ 1 (* a (pow b 3))))))) |
(* -1 (* (pow a 3) (+ (* 27/16 (/ c (pow b 5))) (* 9/8 (/ 1 (* a (pow b 3))))))) |
(* -27/16 (/ (* (pow a 3) c) (pow b 5))) |
(/ (+ (* -27/16 (* (pow a 3) c)) (* -9/8 (* (pow a 2) (pow b 2)))) (pow b 5)) |
(/ (+ (* -27/16 (* (pow a 3) c)) (* -9/8 (* (pow a 2) (pow b 2)))) (pow b 5)) |
(/ (+ (* -27/16 (* (pow a 3) c)) (* -9/8 (* (pow a 2) (pow b 2)))) (pow b 5)) |
(* -9/8 (/ (pow a 2) (pow b 3))) |
(/ (+ (* -27/16 (/ (* (pow a 3) c) (pow b 2))) (* -9/8 (pow a 2))) (pow b 3)) |
(/ (+ (* -27/16 (/ (* (pow a 3) c) (pow b 2))) (* -9/8 (pow a 2))) (pow b 3)) |
(/ (+ (* -27/16 (/ (* (pow a 3) c) (pow b 2))) (* -9/8 (pow a 2))) (pow b 3)) |
(* -9/8 (/ (pow a 2) (pow b 3))) |
(* -1 (/ (+ (* 9/8 (pow a 2)) (* 27/16 (/ (* (pow a 3) c) (pow b 2)))) (pow b 3))) |
(* -1 (/ (+ (* 9/8 (pow a 2)) (* 27/16 (/ (* (pow a 3) c) (pow b 2)))) (pow b 3))) |
(* -1 (/ (+ (* 9/8 (pow a 2)) (* 27/16 (/ (* (pow a 3) c) (pow b 2)))) (pow b 3))) |
| Outputs |
|---|
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) |
(/.f64 (sqrt.f64 (/.f64 c a)) (neg.f64 (sqrt.f64 #s(literal -3 binary64)))) |
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(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))) |
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(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(neg.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
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(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
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(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
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b |
(+ b (* -3/2 (/ (* a c) b))) |
(fma.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)) b) |
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))) |
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(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))) |
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(* (sqrt (* a c)) (sqrt -3)) |
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) |
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(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))) |
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(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))) |
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(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(neg.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (neg.f64 c)) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
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(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
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(* (sqrt (* a c)) (sqrt -3)) |
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a))) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 b b)) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a)))) |
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))))) |
(fma.f64 (*.f64 b b) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c)))))))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a)))) |
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5))))))))) |
(fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))))) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64))))) (/.f64 (*.f64 b b) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -3 binary64))))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a)))) |
b |
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))) |
(fma.f64 b (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) (*.f64 b b)) b) |
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(fma.f64 b (fma.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 c a) (*.f64 b b)) (/.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (*.f64 c c)) (pow.f64 b #s(literal 4 binary64)))) b) |
(* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(fma.f64 b (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 c a) (*.f64 b b)) (/.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))))) b) |
(* -1 b) |
(neg.f64 b) |
(* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))) |
(neg.f64 (fma.f64 b (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) (*.f64 b b)) b)) |
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(neg.f64 (fma.f64 b (fma.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 c a) (*.f64 b b)) (/.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (*.f64 c c)) (pow.f64 b #s(literal 4 binary64)))) b)) |
(* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(neg.f64 (fma.f64 b (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 c a) (*.f64 b b)) (/.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))))) b)) |
(* 3/2 c) |
(*.f64 c #s(literal 3/2 binary64)) |
(* c (+ 3/2 (* 9/8 (/ (* a c) (pow b 2))))) |
(*.f64 c (fma.f64 #s(literal 9/8 binary64) (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal 3/2 binary64))) |
(* c (+ 3/2 (* 9/8 (/ (* a c) (pow b 2))))) |
(*.f64 c (fma.f64 #s(literal 9/8 binary64) (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal 3/2 binary64))) |
(* c (+ 3/2 (* 9/8 (/ (* a c) (pow b 2))))) |
(*.f64 c (fma.f64 #s(literal 9/8 binary64) (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal 3/2 binary64))) |
(* 9/8 (/ (* a (pow c 2)) (pow b 2))) |
(/.f64 (*.f64 (*.f64 a (*.f64 c c)) #s(literal 9/8 binary64)) (*.f64 b b)) |
(* (pow c 2) (+ (* 9/8 (/ a (pow b 2))) (* 3/2 (/ 1 c)))) |
(*.f64 (*.f64 c c) (fma.f64 #s(literal 9/8 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 3/2 binary64) c))) |
(* (pow c 2) (+ (* 9/8 (/ a (pow b 2))) (* 3/2 (/ 1 c)))) |
(*.f64 (*.f64 c c) (fma.f64 #s(literal 9/8 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 3/2 binary64) c))) |
(* (pow c 2) (+ (* 9/8 (/ a (pow b 2))) (* 3/2 (/ 1 c)))) |
(*.f64 (*.f64 c c) (fma.f64 #s(literal 9/8 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 3/2 binary64) c))) |
(* 9/8 (/ (* a (pow c 2)) (pow b 2))) |
(/.f64 (*.f64 (*.f64 a (*.f64 c c)) #s(literal 9/8 binary64)) (*.f64 b b)) |
(* (pow c 2) (+ (* 9/8 (/ a (pow b 2))) (* 3/2 (/ 1 c)))) |
(*.f64 (*.f64 c c) (fma.f64 #s(literal 9/8 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 3/2 binary64) c))) |
(* (pow c 2) (+ (* 9/8 (/ a (pow b 2))) (* 3/2 (/ 1 c)))) |
(*.f64 (*.f64 c c) (fma.f64 #s(literal 9/8 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 3/2 binary64) c))) |
(* (pow c 2) (+ (* 9/8 (/ a (pow b 2))) (* 3/2 (/ 1 c)))) |
(*.f64 (*.f64 c c) (fma.f64 #s(literal 9/8 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 3/2 binary64) c))) |
(* 3/2 c) |
(*.f64 c #s(literal 3/2 binary64)) |
(+ (* 9/8 (/ (* a (pow c 2)) (pow b 2))) (* 3/2 c)) |
(fma.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) #s(literal 9/8 binary64) (*.f64 c #s(literal 3/2 binary64))) |
(+ (* 9/8 (/ (* a (pow c 2)) (pow b 2))) (* 3/2 c)) |
(fma.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) #s(literal 9/8 binary64) (*.f64 c #s(literal 3/2 binary64))) |
(+ (* 9/8 (/ (* a (pow c 2)) (pow b 2))) (* 3/2 c)) |
(fma.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) #s(literal 9/8 binary64) (*.f64 c #s(literal 3/2 binary64))) |
(* 9/8 (/ (* a (pow c 2)) (pow b 2))) |
(/.f64 (*.f64 (*.f64 a (*.f64 c c)) #s(literal 9/8 binary64)) (*.f64 b b)) |
(* a (+ (* 9/8 (/ (pow c 2) (pow b 2))) (* 3/2 (/ c a)))) |
(*.f64 a (fma.f64 (/.f64 c a) #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal 9/8 binary64) (*.f64 c c)) (*.f64 b b)))) |
(* a (+ (* 9/8 (/ (pow c 2) (pow b 2))) (* 3/2 (/ c a)))) |
(*.f64 a (fma.f64 (/.f64 c a) #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal 9/8 binary64) (*.f64 c c)) (*.f64 b b)))) |
(* a (+ (* 9/8 (/ (pow c 2) (pow b 2))) (* 3/2 (/ c a)))) |
(*.f64 a (fma.f64 (/.f64 c a) #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal 9/8 binary64) (*.f64 c c)) (*.f64 b b)))) |
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(/ (* (pow a 3) c) (pow b 2)) |
(/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) |
(/ (* (pow a 3) c) (pow b 2)) |
(/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) |
(/ (* (pow a 3) c) (pow b 2)) |
(/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) |
(/ (* (pow a 3) c) (pow b 2)) |
(/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) |
(/ (* (pow a 3) c) (pow b 2)) |
(/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) |
(/ (* (pow a 3) c) (pow b 2)) |
(/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) |
(/ (* (pow a 3) c) (pow b 2)) |
(/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) |
(/ (* (pow a 3) c) (pow b 2)) |
(/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) |
(/ (* (pow a 3) c) (pow b 2)) |
(/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) |
(/ (* (pow a 3) c) (pow b 2)) |
(/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) |
(/ (* (pow a 3) c) (pow b 2)) |
(/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) |
(/ (* (pow a 3) c) (pow b 2)) |
(/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) |
(/ (* (pow a 3) c) (pow b 2)) |
(/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) |
(/ (* (pow a 3) c) (pow b 2)) |
(/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) |
(/ (* (pow a 3) c) (pow b 2)) |
(/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) |
(/ (* (pow a 3) c) (pow b 2)) |
(/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) |
(/ (* (pow a 3) c) (pow b 2)) |
(/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) |
(/ (* (pow a 3) c) (pow b 2)) |
(/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) |
(/ (* (pow a 3) c) (pow b 2)) |
(/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) |
(/ (* (pow a 3) c) (pow b 2)) |
(/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) |
(/ (* (pow a 3) c) (pow b 2)) |
(/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) |
(/ (* (pow a 3) c) (pow b 2)) |
(/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) |
(/ (* (pow a 3) c) (pow b 2)) |
(/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) |
(/ (* (pow a 3) c) (pow b 2)) |
(/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) |
(/ (* (pow a 3) c) (pow b 2)) |
(/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) |
(* -9/8 (/ (pow a 2) (pow b 3))) |
(/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (*.f64 b (*.f64 b b))) |
(+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))) |
(fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 a a) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 (*.f64 c (*.f64 a (*.f64 a a))) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) |
(+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))) |
(fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 a a) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 (*.f64 c (*.f64 a (*.f64 a a))) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) |
(+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))) |
(fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 a a) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 (*.f64 c (*.f64 a (*.f64 a a))) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) |
(* -27/16 (/ (* (pow a 3) c) (pow b 5))) |
(/.f64 (*.f64 (*.f64 c (*.f64 a (*.f64 a a))) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64))) |
(* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -9/8 (/ (pow a 2) (* (pow b 3) c))))) |
(*.f64 c (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 a a) (*.f64 c (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a (*.f64 a a))) (pow.f64 b #s(literal 5 binary64))))) |
(* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -9/8 (/ (pow a 2) (* (pow b 3) c))))) |
(*.f64 c (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 a a) (*.f64 c (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a (*.f64 a a))) (pow.f64 b #s(literal 5 binary64))))) |
(* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -9/8 (/ (pow a 2) (* (pow b 3) c))))) |
(*.f64 c (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 a a) (*.f64 c (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a (*.f64 a a))) (pow.f64 b #s(literal 5 binary64))))) |
(* -27/16 (/ (* (pow a 3) c) (pow b 5))) |
(/.f64 (*.f64 (*.f64 c (*.f64 a (*.f64 a a))) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64))) |
(* -1 (* c (+ (* 9/8 (/ (pow a 2) (* (pow b 3) c))) (* 27/16 (/ (pow a 3) (pow b 5)))))) |
(*.f64 (fma.f64 #s(literal 9/8 binary64) (/.f64 (*.f64 a a) (*.f64 c (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 #s(literal 27/16 binary64) (*.f64 a (*.f64 a a))) (pow.f64 b #s(literal 5 binary64)))) (neg.f64 c)) |
(* -1 (* c (+ (* 9/8 (/ (pow a 2) (* (pow b 3) c))) (* 27/16 (/ (pow a 3) (pow b 5)))))) |
(*.f64 (fma.f64 #s(literal 9/8 binary64) (/.f64 (*.f64 a a) (*.f64 c (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 #s(literal 27/16 binary64) (*.f64 a (*.f64 a a))) (pow.f64 b #s(literal 5 binary64)))) (neg.f64 c)) |
(* -1 (* c (+ (* 9/8 (/ (pow a 2) (* (pow b 3) c))) (* 27/16 (/ (pow a 3) (pow b 5)))))) |
(*.f64 (fma.f64 #s(literal 9/8 binary64) (/.f64 (*.f64 a a) (*.f64 c (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 #s(literal 27/16 binary64) (*.f64 a (*.f64 a a))) (pow.f64 b #s(literal 5 binary64)))) (neg.f64 c)) |
(* -9/8 (/ (pow a 2) (pow b 3))) |
(/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (*.f64 b (*.f64 b b))) |
(* (pow a 2) (- (* -27/16 (/ (* a c) (pow b 5))) (* 9/8 (/ 1 (pow b 3))))) |
(*.f64 (*.f64 a a) (fma.f64 #s(literal -27/16 binary64) (*.f64 a (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (/.f64 #s(literal -9/8 binary64) (*.f64 b (*.f64 b b))))) |
(* (pow a 2) (- (* -27/16 (/ (* a c) (pow b 5))) (* 9/8 (/ 1 (pow b 3))))) |
(*.f64 (*.f64 a a) (fma.f64 #s(literal -27/16 binary64) (*.f64 a (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (/.f64 #s(literal -9/8 binary64) (*.f64 b (*.f64 b b))))) |
(* (pow a 2) (- (* -27/16 (/ (* a c) (pow b 5))) (* 9/8 (/ 1 (pow b 3))))) |
(*.f64 (*.f64 a a) (fma.f64 #s(literal -27/16 binary64) (*.f64 a (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (/.f64 #s(literal -9/8 binary64) (*.f64 b (*.f64 b b))))) |
(* -27/16 (/ (* (pow a 3) c) (pow b 5))) |
(/.f64 (*.f64 (*.f64 c (*.f64 a (*.f64 a a))) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64))) |
(* (pow a 3) (- (* -27/16 (/ c (pow b 5))) (* 9/8 (/ 1 (* a (pow b 3)))))) |
(*.f64 (*.f64 a (*.f64 a a)) (fma.f64 #s(literal -27/16 binary64) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 #s(literal -9/8 binary64) (*.f64 a (*.f64 b (*.f64 b b)))))) |
(* (pow a 3) (- (* -27/16 (/ c (pow b 5))) (* 9/8 (/ 1 (* a (pow b 3)))))) |
(*.f64 (*.f64 a (*.f64 a a)) (fma.f64 #s(literal -27/16 binary64) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 #s(literal -9/8 binary64) (*.f64 a (*.f64 b (*.f64 b b)))))) |
(* (pow a 3) (- (* -27/16 (/ c (pow b 5))) (* 9/8 (/ 1 (* a (pow b 3)))))) |
(*.f64 (*.f64 a (*.f64 a a)) (fma.f64 #s(literal -27/16 binary64) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 #s(literal -9/8 binary64) (*.f64 a (*.f64 b (*.f64 b b)))))) |
(* -27/16 (/ (* (pow a 3) c) (pow b 5))) |
(/.f64 (*.f64 (*.f64 c (*.f64 a (*.f64 a a))) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64))) |
(* -1 (* (pow a 3) (+ (* 27/16 (/ c (pow b 5))) (* 9/8 (/ 1 (* a (pow b 3))))))) |
(*.f64 (fma.f64 #s(literal 27/16 binary64) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 #s(literal 9/8 binary64) (*.f64 a (*.f64 b (*.f64 b b))))) (neg.f64 (*.f64 a (*.f64 a a)))) |
(* -1 (* (pow a 3) (+ (* 27/16 (/ c (pow b 5))) (* 9/8 (/ 1 (* a (pow b 3))))))) |
(*.f64 (fma.f64 #s(literal 27/16 binary64) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 #s(literal 9/8 binary64) (*.f64 a (*.f64 b (*.f64 b b))))) (neg.f64 (*.f64 a (*.f64 a a)))) |
(* -1 (* (pow a 3) (+ (* 27/16 (/ c (pow b 5))) (* 9/8 (/ 1 (* a (pow b 3))))))) |
(*.f64 (fma.f64 #s(literal 27/16 binary64) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 #s(literal 9/8 binary64) (*.f64 a (*.f64 b (*.f64 b b))))) (neg.f64 (*.f64 a (*.f64 a a)))) |
(* -27/16 (/ (* (pow a 3) c) (pow b 5))) |
(/.f64 (*.f64 (*.f64 c (*.f64 a (*.f64 a a))) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64))) |
(/ (+ (* -27/16 (* (pow a 3) c)) (* -9/8 (* (pow a 2) (pow b 2)))) (pow b 5)) |
(/.f64 (fma.f64 (*.f64 c (*.f64 a (*.f64 a a))) #s(literal -27/16 binary64) (*.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 5 binary64))) |
(/ (+ (* -27/16 (* (pow a 3) c)) (* -9/8 (* (pow a 2) (pow b 2)))) (pow b 5)) |
(/.f64 (fma.f64 (*.f64 c (*.f64 a (*.f64 a a))) #s(literal -27/16 binary64) (*.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 5 binary64))) |
(/ (+ (* -27/16 (* (pow a 3) c)) (* -9/8 (* (pow a 2) (pow b 2)))) (pow b 5)) |
(/.f64 (fma.f64 (*.f64 c (*.f64 a (*.f64 a a))) #s(literal -27/16 binary64) (*.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 5 binary64))) |
(* -9/8 (/ (pow a 2) (pow b 3))) |
(/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (*.f64 b (*.f64 b b))) |
(/ (+ (* -27/16 (/ (* (pow a 3) c) (pow b 2))) (* -9/8 (pow a 2))) (pow b 3)) |
(/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b))) |
(/ (+ (* -27/16 (/ (* (pow a 3) c) (pow b 2))) (* -9/8 (pow a 2))) (pow b 3)) |
(/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b))) |
(/ (+ (* -27/16 (/ (* (pow a 3) c) (pow b 2))) (* -9/8 (pow a 2))) (pow b 3)) |
(/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b))) |
(* -9/8 (/ (pow a 2) (pow b 3))) |
(/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (*.f64 b (*.f64 b b))) |
(* -1 (/ (+ (* 9/8 (pow a 2)) (* 27/16 (/ (* (pow a 3) c) (pow b 2)))) (pow b 3))) |
(/.f64 (fma.f64 #s(literal 27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal 9/8 binary64))) (neg.f64 (*.f64 b (*.f64 b b)))) |
(* -1 (/ (+ (* 9/8 (pow a 2)) (* 27/16 (/ (* (pow a 3) c) (pow b 2)))) (pow b 3))) |
(/.f64 (fma.f64 #s(literal 27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal 9/8 binary64))) (neg.f64 (*.f64 b (*.f64 b b)))) |
(* -1 (/ (+ (* 9/8 (pow a 2)) (* 27/16 (/ (* (pow a 3) c) (pow b 2)))) (pow b 3))) |
(/.f64 (fma.f64 #s(literal 27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal 9/8 binary64))) (neg.f64 (*.f64 b (*.f64 b b)))) |
| 5 140× | lower-fma.f32 |
| 5 130× | lower-fma.f64 |
| 4 926× | lower-*.f32 |
| 4 892× | lower-*.f64 |
| 3 044× | lower-pow.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 95 | 633 |
| 0 | 142 | 595 |
| 1 | 578 | 573 |
| 2 | 4542 | 573 |
| 0 | 8478 | 564 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 #s(approx (- (* b b) (+ (* -3 (* a c)) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))))) #s(literal -3 binary64)) |
(/.f64 #s(approx (- (* b b) (+ (* -3 (* a c)) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))))) |
#s(approx (- (* b b) (+ (* -3 (* a c)) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) |
(*.f64 #s(literal 3 binary64) (*.f64 a c)) |
(/.f64 #s(literal -1/2 binary64) (/.f64 b c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
(/.f64 b c) |
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a)) |
(neg.f64 b) |
(sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64))))) |
(fma.f64 c #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal 9/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) |
(/.f64 #s(approx (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (/.f64 (fma.f64 c #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal 9/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b)) #s(literal -3 binary64)) |
#s(approx (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (/.f64 (fma.f64 c #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal 9/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b)) |
(/.f64 (fma.f64 c #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal 9/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) |
(fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) |
(*.f64 c (fma.f64 c #s(approx (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b))) |
(+.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) |
(*.f64 (*.f64 c a) #s(literal -3 binary64)) |
(/.f64 (*.f64 #s(literal 9/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b)) |
(*.f64 #s(literal 9/8 binary64) (*.f64 a (*.f64 c c))) |
(/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) |
(/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 (*.f64 a a) #s(literal -9/8 binary64))) (*.f64 b (*.f64 b b))) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -3 binary64) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))) (/.f64 a #s(approx (- (* b b) (+ (* -3 (* a c)) (* b b))) (*.f64 c (*.f64 a #s(literal 3 binary64)))))))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (/.f64 #s(approx (- (* b b) (+ (* -3 (* a c)) (* b b))) (*.f64 c (*.f64 a #s(literal 3 binary64)))) (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) #s(literal 3 binary64))) |
(/.f64 #s(approx (- (* b b) (+ (* -3 (* a c)) (* b b))) (*.f64 c (*.f64 a #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal -3 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) |
(/.f64 (/.f64 #s(approx (- (* b b) (+ (* -3 (* a c)) (* b b))) (*.f64 c (*.f64 a #s(literal 3 binary64)))) (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) #s(literal -3 binary64)) |
(/.f64 (neg.f64 (/.f64 #s(approx (- (* b b) (+ (* -3 (* a c)) (* b b))) (*.f64 c (*.f64 a #s(literal 3 binary64)))) (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))))) #s(literal 3 binary64)) |
(/.f64 (neg.f64 #s(approx (- (* b b) (+ (* -3 (* a c)) (* b b))) (*.f64 c (*.f64 a #s(literal 3 binary64))))) (neg.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))))) |
(/.f64 (neg.f64 #s(approx (- (* b b) (+ (* -3 (* a c)) (* b b))) (*.f64 c (*.f64 a #s(literal 3 binary64))))) (*.f64 #s(literal -3 binary64) (neg.f64 (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))))) |
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(/.f64 (*.f64 (*.f64 a (*.f64 c c)) (/.f64 #s(literal 9/8 binary64) b)) b) |
(/.f64 (*.f64 (*.f64 a (*.f64 (*.f64 c c) #s(literal 9/8 binary64))) #s(literal 1 binary64)) (*.f64 b b)) |
(/.f64 (neg.f64 (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9/8 binary64))) (*.f64 b b)) |
(/.f64 (neg.f64 (*.f64 (*.f64 a (*.f64 c c)) (/.f64 #s(literal 9/8 binary64) b))) (neg.f64 b)) |
(/.f64 (*.f64 (/.f64 #s(literal 9/8 binary64) b) (*.f64 a (*.f64 c c))) b) |
(pow.f64 (/.f64 (*.f64 b b) (*.f64 a (*.f64 (*.f64 c c) #s(literal 9/8 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 b b) (*.f64 a (*.f64 (*.f64 c c) #s(literal 9/8 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 b (*.f64 (*.f64 a (*.f64 c c)) (/.f64 #s(literal 9/8 binary64) b))) #s(literal -1 binary64)) |
(*.f64 #s(literal 9/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) |
(*.f64 (*.f64 a (*.f64 c c)) (*.f64 #s(literal 9/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) |
(*.f64 (*.f64 a (*.f64 c c)) (/.f64 #s(literal 9/8 binary64) (*.f64 b b))) |
(*.f64 (*.f64 a (*.f64 (*.f64 c c) #s(literal 9/8 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 b b))) |
(*.f64 (*.f64 (*.f64 a (*.f64 c c)) #s(literal -9/8 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b (neg.f64 b)))) |
(*.f64 (/.f64 #s(literal 9/8 binary64) b) (/.f64 (*.f64 a (*.f64 c c)) b)) |
(*.f64 (/.f64 (*.f64 a (*.f64 c c)) b) (/.f64 #s(literal 9/8 binary64) b)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 (*.f64 c c) #s(literal 9/8 binary64))) (*.f64 b b))) |
(*.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 (*.f64 a (*.f64 c c)) (/.f64 #s(literal 9/8 binary64) b))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (*.f64 a (*.f64 (*.f64 c c) #s(literal 9/8 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 (*.f64 c c) #s(literal 9/8 binary64)))) #s(literal -1 binary64))) |
(*.f64 (*.f64 a #s(literal 9/8 binary64)) (*.f64 (*.f64 c c) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) |
(*.f64 (*.f64 a #s(literal 9/8 binary64)) (/.f64 (*.f64 c c) (*.f64 b b))) |
(*.f64 (*.f64 (*.f64 a (*.f64 c c)) (/.f64 #s(literal 9/8 binary64) b)) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) #s(literal 9/8 binary64)) |
(*.f64 (/.f64 (*.f64 a #s(literal 9/8 binary64)) b) (/.f64 (*.f64 c c) b)) |
(*.f64 (pow.f64 (/.f64 b (*.f64 a #s(literal 9/8 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 b (*.f64 c c)) #s(literal -1 binary64))) |
(*.f64 a (*.f64 (*.f64 c c) #s(literal 9/8 binary64))) |
(*.f64 c (*.f64 (*.f64 a c) #s(literal 9/8 binary64))) |
(*.f64 (*.f64 a c) (*.f64 c #s(literal 9/8 binary64))) |
(*.f64 #s(literal 9/8 binary64) (*.f64 a (*.f64 c c))) |
(*.f64 (*.f64 c c) (*.f64 a #s(literal 9/8 binary64))) |
(*.f64 (*.f64 a (*.f64 c c)) #s(literal 9/8 binary64)) |
(*.f64 (*.f64 a #s(literal 9/8 binary64)) (*.f64 c c)) |
(*.f64 (*.f64 #s(literal 9/8 binary64) c) (*.f64 a c)) |
(*.f64 (*.f64 #s(literal 9/8 binary64) (*.f64 a c)) c) |
(*.f64 (*.f64 #s(literal 9/8 binary64) (*.f64 c c)) a) |
(*.f64 (*.f64 (*.f64 a #s(literal 9/8 binary64)) c) c) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 b b) (*.f64 a (*.f64 (*.f64 a a) c)))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (*.f64 a (*.f64 (*.f64 a a) c)) (*.f64 b (neg.f64 b)))) |
(neg.f64 (/.f64 (neg.f64 (*.f64 a (*.f64 (*.f64 a a) c))) (*.f64 b b))) |
(/.f64 (*.f64 a (*.f64 (*.f64 a a) c)) (*.f64 b b)) |
(/.f64 (neg.f64 (*.f64 a (*.f64 (*.f64 a a) c))) (*.f64 b (neg.f64 b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a (*.f64 (*.f64 a a) c)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 b b) (*.f64 a (*.f64 (*.f64 a a) c))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 (*.f64 a (*.f64 (*.f64 a a) c)) b))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 b b) (*.f64 a (*.f64 (*.f64 a a) c))))) |
(/.f64 (/.f64 (*.f64 a (*.f64 (*.f64 a a) c)) b) b) |
(/.f64 (neg.f64 (neg.f64 (*.f64 a (*.f64 (*.f64 a a) c)))) (*.f64 b b)) |
(/.f64 (neg.f64 (/.f64 (*.f64 a (*.f64 (*.f64 a a) c)) b)) (neg.f64 b)) |
(/.f64 (*.f64 (*.f64 a (*.f64 (*.f64 a a) c)) #s(literal 1 binary64)) (*.f64 b b)) |
(/.f64 (*.f64 (/.f64 c b) (*.f64 a (*.f64 a a))) b) |
(pow.f64 (/.f64 (*.f64 b b) (*.f64 a (*.f64 (*.f64 a a) c))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 b b) (*.f64 a (*.f64 (*.f64 a a) c))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 b (/.f64 (*.f64 a (*.f64 (*.f64 a a) c)) b)) #s(literal -1 binary64)) |
(*.f64 c (/.f64 (*.f64 a (*.f64 a a)) (*.f64 b b))) |
(*.f64 (*.f64 a c) (*.f64 (*.f64 a a) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) |
(*.f64 (*.f64 a c) (/.f64 (*.f64 a a) (*.f64 b b))) |
(*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (/.f64 #s(literal 1 binary64) (*.f64 b b)))) |
(*.f64 (*.f64 a (*.f64 a a)) (/.f64 c (*.f64 b b))) |
(*.f64 (*.f64 a (*.f64 (*.f64 a a) c)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) |
(*.f64 (neg.f64 (*.f64 a (*.f64 (*.f64 a a) c))) (/.f64 #s(literal 1 binary64) (*.f64 b (neg.f64 b)))) |
(*.f64 (/.f64 c b) (/.f64 (*.f64 a (*.f64 a a)) b)) |
(*.f64 (/.f64 (*.f64 a (*.f64 a a)) b) (/.f64 c b)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 (*.f64 a a) c)) (*.f64 b b))) |
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (*.f64 a (*.f64 (*.f64 a a) c)) b)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (*.f64 a (*.f64 (*.f64 a a) c))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 (*.f64 a a) c))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 a (*.f64 (*.f64 a a) c)) b) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 (/.f64 (*.f64 a (*.f64 a a)) (*.f64 b b)) c) |
(*.f64 (/.f64 (*.f64 a c) b) (/.f64 (*.f64 a a) b)) |
(*.f64 (pow.f64 (/.f64 b (*.f64 a c)) #s(literal -1 binary64)) (pow.f64 (/.f64 b (*.f64 a a)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 b (*.f64 b b)) (fma.f64 a (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c (*.f64 #s(literal -27/16 binary64) (*.f64 a (*.f64 a a)))) (*.f64 b b))))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (fma.f64 a (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c (*.f64 #s(literal -27/16 binary64) (*.f64 a (*.f64 a a)))) (*.f64 b b))) (*.f64 b (*.f64 b b)))) |
(/.f64 (fma.f64 a (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c (*.f64 #s(literal -27/16 binary64) (*.f64 a (*.f64 a a)))) (*.f64 b b))) (*.f64 b (*.f64 b b))) |
(/.f64 (neg.f64 (fma.f64 a (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c (*.f64 #s(literal -27/16 binary64) (*.f64 a (*.f64 a a)))) (*.f64 b b)))) (*.f64 b (*.f64 b b))) |
(/.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -729/512 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a (*.f64 a a))) (*.f64 #s(literal -27/16 binary64) (*.f64 a (*.f64 a a)))) (*.f64 #s(literal -27/16 binary64) (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (*.f64 (*.f64 b (*.f64 b b)) (fma.f64 (*.f64 a (*.f64 a #s(literal -9/8 binary64))) (-.f64 (*.f64 a (*.f64 a #s(literal -9/8 binary64))) (/.f64 (*.f64 c (*.f64 #s(literal -27/16 binary64) (*.f64 a (*.f64 a a)))) (*.f64 b b))) (/.f64 (*.f64 (*.f64 c (*.f64 #s(literal -27/16 binary64) (*.f64 a (*.f64 a a)))) (*.f64 c (*.f64 #s(literal -27/16 binary64) (*.f64 a (*.f64 a a))))) (*.f64 b (*.f64 b (*.f64 b b))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b (*.f64 b b)) (fma.f64 a (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c (*.f64 #s(literal -27/16 binary64) (*.f64 a (*.f64 a a)))) (*.f64 b b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 b (*.f64 b b)) (fma.f64 a (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c (*.f64 #s(literal -27/16 binary64) (*.f64 a (*.f64 a a)))) (*.f64 b b)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (/.f64 (fma.f64 a (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c (*.f64 #s(literal -27/16 binary64) (*.f64 a (*.f64 a a)))) (*.f64 b b))) b))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 b (*.f64 b b)) (fma.f64 a (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c (*.f64 #s(literal -27/16 binary64) (*.f64 a (*.f64 a a)))) (*.f64 b b)))))) |
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 c (*.f64 #s(literal -27/16 binary64) (*.f64 a (*.f64 a a)))) (*.f64 c (*.f64 #s(literal -27/16 binary64) (*.f64 a (*.f64 a a))))) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 #s(literal 81/64 binary64) (*.f64 (*.f64 a a) (*.f64 a a)))) (*.f64 (*.f64 b (*.f64 b b)) (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 a (*.f64 (*.f64 a a) c)) (*.f64 b b)) (*.f64 #s(literal 9/8 binary64) (*.f64 a a))))) |
(/.f64 (/.f64 (fma.f64 a (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c (*.f64 #s(literal -27/16 binary64) (*.f64 a (*.f64 a a)))) (*.f64 b b))) b) (*.f64 b b)) |
(/.f64 (*.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -729/512 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a (*.f64 a a))) (*.f64 #s(literal -27/16 binary64) (*.f64 a (*.f64 a a)))) (*.f64 #s(literal -27/16 binary64) (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 a (*.f64 a #s(literal -9/8 binary64))) (-.f64 (*.f64 a (*.f64 a #s(literal -9/8 binary64))) (/.f64 (*.f64 c (*.f64 #s(literal -27/16 binary64) (*.f64 a (*.f64 a a)))) (*.f64 b b))) (/.f64 (*.f64 (*.f64 c (*.f64 #s(literal -27/16 binary64) (*.f64 a (*.f64 a a)))) (*.f64 c (*.f64 #s(literal -27/16 binary64) (*.f64 a (*.f64 a a))))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b (*.f64 b b)))) |
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 c (*.f64 #s(literal -27/16 binary64) (*.f64 a (*.f64 a a)))) (*.f64 c (*.f64 #s(literal -27/16 binary64) (*.f64 a (*.f64 a a))))) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 #s(literal 81/64 binary64) (*.f64 (*.f64 a a) (*.f64 a a)))) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 a (*.f64 (*.f64 a a) c)) (*.f64 b b)) (*.f64 #s(literal 9/8 binary64) (*.f64 a a))) (*.f64 b (*.f64 b b)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 a (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c (*.f64 #s(literal -27/16 binary64) (*.f64 a (*.f64 a a)))) (*.f64 b b))))) (*.f64 b (*.f64 b b))) |
(/.f64 (neg.f64 (/.f64 (fma.f64 a (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c (*.f64 #s(literal -27/16 binary64) (*.f64 a (*.f64 a a)))) (*.f64 b b))) b)) (*.f64 b (neg.f64 b))) |
(/.f64 (*.f64 (fma.f64 a (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c (*.f64 #s(literal -27/16 binary64) (*.f64 a (*.f64 a a)))) (*.f64 b b))) #s(literal 1 binary64)) (*.f64 b (*.f64 b b))) |
(/.f64 (*.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -729/512 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a (*.f64 a a))) (*.f64 #s(literal -27/16 binary64) (*.f64 a (*.f64 a a)))) (*.f64 #s(literal -27/16 binary64) (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b b)))) (fma.f64 (*.f64 a (*.f64 a #s(literal -9/8 binary64))) (-.f64 (*.f64 a (*.f64 a #s(literal -9/8 binary64))) (/.f64 (*.f64 c (*.f64 #s(literal -27/16 binary64) (*.f64 a (*.f64 a a)))) (*.f64 b b))) (/.f64 (*.f64 (*.f64 c (*.f64 #s(literal -27/16 binary64) (*.f64 a (*.f64 a a)))) (*.f64 c (*.f64 #s(literal -27/16 binary64) (*.f64 a (*.f64 a a))))) (*.f64 b (*.f64 b (*.f64 b b)))))) |
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 c (*.f64 #s(literal -27/16 binary64) (*.f64 a (*.f64 a a)))) (*.f64 c (*.f64 #s(literal -27/16 binary64) (*.f64 a (*.f64 a a))))) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 #s(literal 81/64 binary64) (*.f64 (*.f64 a a) (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b b)))) (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 a (*.f64 (*.f64 a a) c)) (*.f64 b b)) (*.f64 #s(literal 9/8 binary64) (*.f64 a a)))) |
(/.f64 (/.f64 (fma.f64 a (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c (*.f64 #s(literal -27/16 binary64) (*.f64 a (*.f64 a a)))) (*.f64 b b))) (*.f64 b b)) b) |
(/.f64 (/.f64 (/.f64 (fma.f64 a (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c (*.f64 #s(literal -27/16 binary64) (*.f64 a (*.f64 a a)))) (*.f64 b b))) b) b) b) |
(pow.f64 (/.f64 (*.f64 b (*.f64 b b)) (fma.f64 a (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c (*.f64 #s(literal -27/16 binary64) (*.f64 a (*.f64 a a)))) (*.f64 b b)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 b (*.f64 b b)) (fma.f64 a (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c (*.f64 #s(literal -27/16 binary64) (*.f64 a (*.f64 a a)))) (*.f64 b b)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 b b) (/.f64 (fma.f64 a (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c (*.f64 #s(literal -27/16 binary64) (*.f64 a (*.f64 a a)))) (*.f64 b b))) b)) #s(literal -1 binary64)) |
(*.f64 (fma.f64 a (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c (*.f64 #s(literal -27/16 binary64) (*.f64 a (*.f64 a a)))) (*.f64 b b))) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b b)))) |
(*.f64 (neg.f64 (fma.f64 a (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c (*.f64 #s(literal -27/16 binary64) (*.f64 a (*.f64 a a)))) (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b b)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c (*.f64 #s(literal -27/16 binary64) (*.f64 a (*.f64 a a)))) (*.f64 b b))) (*.f64 b (*.f64 b b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) b) (pow.f64 (/.f64 (*.f64 b b) (fma.f64 a (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c (*.f64 #s(literal -27/16 binary64) (*.f64 a (*.f64 a a)))) (*.f64 b b)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 (fma.f64 a (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c (*.f64 #s(literal -27/16 binary64) (*.f64 a (*.f64 a a)))) (*.f64 b b))) b)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b b))) (fma.f64 a (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c (*.f64 #s(literal -27/16 binary64) (*.f64 a (*.f64 a a)))) (*.f64 b b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b b))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c (*.f64 #s(literal -27/16 binary64) (*.f64 a (*.f64 a a)))) (*.f64 b b)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 a (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c (*.f64 #s(literal -27/16 binary64) (*.f64 a (*.f64 a a)))) (*.f64 b b))) b) (/.f64 #s(literal 1 binary64) (*.f64 b b))) |
(*.f64 (pow.f64 (/.f64 (*.f64 b (*.f64 b b)) (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -729/512 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a (*.f64 a a))) (*.f64 #s(literal -27/16 binary64) (*.f64 a (*.f64 a a)))) (*.f64 #s(literal -27/16 binary64) (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a (*.f64 a #s(literal -9/8 binary64))) (-.f64 (*.f64 a (*.f64 a #s(literal -9/8 binary64))) (/.f64 (*.f64 c (*.f64 #s(literal -27/16 binary64) (*.f64 a (*.f64 a a)))) (*.f64 b b))) (/.f64 (*.f64 (*.f64 c (*.f64 #s(literal -27/16 binary64) (*.f64 a (*.f64 a a)))) (*.f64 c (*.f64 #s(literal -27/16 binary64) (*.f64 a (*.f64 a a))))) (*.f64 b (*.f64 b (*.f64 b b))))))) |
(*.f64 (pow.f64 (/.f64 (*.f64 b (*.f64 b b)) (-.f64 (/.f64 (*.f64 (*.f64 c (*.f64 #s(literal -27/16 binary64) (*.f64 a (*.f64 a a)))) (*.f64 c (*.f64 #s(literal -27/16 binary64) (*.f64 a (*.f64 a a))))) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 #s(literal 81/64 binary64) (*.f64 (*.f64 a a) (*.f64 a a))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 a (*.f64 (*.f64 a a) c)) (*.f64 b b)) (*.f64 #s(literal 9/8 binary64) (*.f64 a a))))) |
Compiled 39 378 to 3 105 computations (92.1% saved)
46 alts after pruning (41 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 257 | 28 | 1 285 |
| Fresh | 27 | 13 | 40 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 287 | 46 | 1 333 |
| Status | Accuracy | Program |
|---|---|---|
| 56.3% | (/.f64 (fma.f64 b #s(literal -1/3 binary64) (neg.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) #s(literal -1/3 binary64)))) a) | |
| 56.1% | (/.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))) b) a) #s(literal 3 binary64)) | |
| ✓ | 56.0% | (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal -3 binary64)) a) |
| 99.1% | (/.f64 (/.f64 #s(approx (- (* b b) (+ (* -3 (* a c)) (* b b))) (*.f64 (*.f64 c #s(literal 3 binary64)) a)) (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))))) #s(literal -3 binary64)) | |
| 99.1% | (/.f64 (/.f64 #s(approx (- (* b b) (+ (* -3 (* a c)) (* b b))) (*.f64 c (*.f64 a #s(literal 3 binary64)))) a) (*.f64 #s(literal -3 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) | |
| ✓ | 99.1% | (/.f64 (/.f64 #s(approx (- (* b b) (+ (* -3 (* a c)) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))))) #s(literal -3 binary64)) |
| 88.3% | (/.f64 (/.f64 #s(approx (- (* b b) (+ (* -3 (* a c)) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (*.f64 a #s(approx (+ b (sqrt (+ (* -3 (* a c)) (* b b)))) (fma.f64 c (fma.f64 #s(literal -3/2 binary64) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c (*.f64 a a))) (*.f64 b (*.f64 b b)))) (*.f64 b #s(literal 2 binary64)))))) #s(literal -3 binary64)) | |
| 64.0% | (/.f64 (/.f64 #s(approx (- (* b b) (+ (* -3 (* a c)) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (*.f64 a #s(approx (+ b (sqrt (+ (* -3 (* a c)) (* b b)))) (*.f64 b #s(literal 2 binary64))))) #s(literal -3 binary64)) | |
| 55.4% | (/.f64 (-.f64 (*.f64 b #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) #s(literal -1/3 binary64))) a) | |
| 55.9% | (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) | |
| 56.1% | (/.f64 (-.f64 (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))) b) (*.f64 a #s(literal 3 binary64))) | |
| 56.0% | (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) b) #s(literal 1/3 binary64)) a) | |
| 56.1% | (/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))) b) #s(literal 1/3 binary64)) a) | |
| 99.1% | (/.f64 (*.f64 #s(approx (- (* b b) (+ (* -3 (* a c)) (* b b))) (*.f64 c (*.f64 a #s(literal 3 binary64)))) #s(literal -1/3 binary64)) (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) | |
| 99.2% | (/.f64 (neg.f64 #s(approx (- (* b b) (+ (* -3 (* a c)) (* b b))) (*.f64 c (*.f64 a #s(literal 3 binary64))))) (*.f64 #s(literal -3 binary64) (neg.f64 (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))))) | |
| 64.0% | (/.f64 #s(approx (/ (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b))))) (* b b)) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b (* b b)))) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b b))) (*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 a c) b))) (*.f64 #s(literal 3 binary64) a)) | |
| 81.8% | (/.f64 #s(approx (/ (- (* b b) (+ (* -3 (* a c)) (* b b))) (* a (+ b (sqrt (+ (* -3 (* a c)) (* b b)))))) (/.f64 (fma.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) #s(literal 9/8 binary64) (*.f64 c #s(literal 3/2 binary64))) b)) #s(literal -3 binary64)) | |
| 64.0% | (/.f64 #s(approx (/ (- (* b b) (+ (* -3 (* a c)) (* b b))) (* a (+ b (sqrt (+ (* -3 (* a c)) (* b b)))))) (/.f64 (*.f64 c #s(literal 3/2 binary64)) b)) #s(literal -3 binary64)) | |
| 81.8% | (/.f64 #s(approx (/ (- (* b b) (+ (* -3 (* a c)) (* b b))) (* a (+ b (sqrt (+ (* -3 (* a c)) (* b b)))))) (*.f64 c (fma.f64 (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #s(literal 9/8 binary64) (/.f64 #s(literal 3/2 binary64) b)))) #s(literal -3 binary64)) | |
| 81.8% | (/.f64 #s(approx (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (/.f64 #s(approx (+ (* c 3/2) (/ (* 9/8 (* a (* c c))) (* b b))) (*.f64 c (fma.f64 #s(literal 9/8 binary64) (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal 3/2 binary64)))) b)) #s(literal -3 binary64)) | |
| 64.0% | (/.f64 #s(approx (/ (- b (sqrt (+ (* -3 (* a c)) (* b b)))) -3) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a c)) b)) a) | |
| 99.3% | (/.f64 #s(approx (- (* b b) (+ (* -3 (* a c)) (* b b))) (*.f64 c (*.f64 a #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal -3 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) | |
| 64.0% | (/.f64 #s(approx (+ (neg b) (sqrt (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))))) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 64.0% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c #s(approx (+ (* c (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5)))) (/ (* a -3/2) b)) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) (*.f64 #s(literal 3 binary64) a)) | |
| 55.9% | (/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) b) #s(literal 1/3 binary64)))) | |
| 55.9% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -3 binary64) (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) a)) | |
| 99.1% | (/.f64 #s(literal -1/3 binary64) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))) (/.f64 a #s(approx (- (* b b) (+ (* -3 (* a c)) (* b b))) (*.f64 c (*.f64 a #s(literal 3 binary64))))))) | |
| 56.0% | (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) b) a) #s(literal 1/3 binary64)) | |
| 99.0% | (*.f64 (/.f64 #s(approx (- (* b b) (+ (* -3 (* a c)) (* b b))) (*.f64 c (*.f64 a #s(literal 3 binary64)))) (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) #s(literal -1/3 binary64)) | |
| 56.0% | (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))) b) #s(literal 1/3 binary64))) | |
| 56.0% | (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) b)) | |
| 56.1% | (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))) b)) | |
| 56.0% | (*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -3 binary64))) | |
| 81.6% | (*.f64 #s(approx (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (/.f64 (fma.f64 #s(literal 9/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal 3/2 binary64))) b)) #s(literal -1/3 binary64)) | |
| 99.1% | (*.f64 #s(approx (- (* b b) (+ (* -3 (* a c)) (* b b))) (*.f64 c (*.f64 a #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -3 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))))) | |
| 99.0% | (*.f64 #s(approx (- (* b b) (+ (* -3 (* a c)) (* b b))) (*.f64 c (*.f64 a #s(literal 3 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) #s(literal -1/3 binary64))) | |
| 81.9% | #s(approx (/ (/ (- (* b b) (+ (* -3 (* a c)) (* b b))) (* a (+ b (sqrt (+ (* -3 (* a c)) (* b b)))))) -3) (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))) | |
| 81.9% | #s(approx (/ (/ (- (* b b) (+ (* -3 (* a c)) (* b b))) (* a (+ b (sqrt (+ (* -3 (* a c)) (* b b)))))) -3) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b)) | |
| 81.8% | #s(approx (/ (/ (- (* b b) (+ (* -3 (* a c)) (* b b))) (* a (+ b (sqrt (+ (* -3 (* a c)) (* b b)))))) -3) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b)))) | |
| 64.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1 binary64) c))) | |
| 81.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (+ (* (* c (* a c)) (/ -3/8 (* b b))) (* c -1/2)) (+ (* -9/16 (/ (* a (* a (* c (* c c)))) (* b (* b (* b b))))) (/ (* (* (* a (* a (* a a))) (* (* c (* c (* c c))) 405/64)) -1/6) (* (* b (* b b)) (* (* b (* b b)) a))))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)))) b)) | |
| ✓ | 64.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
| 64.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 c b)))) | |
| 64.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) b))) | |
| ✓ | 64.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
| ✓ | 64.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
Compiled 5 441 to 1 361 computations (75% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) b))) |
(/.f64 #s(approx (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (/.f64 (*.f64 c #s(literal 3/2 binary64)) b)) #s(literal -3 binary64)) |
(/.f64 #s(approx (/ (- (* b b) (+ (* -3 (* a c)) (* b b))) (* a (+ b (sqrt (+ (* -3 (* a c)) (* b b)))))) (/.f64 (*.f64 #s(literal 3/2 binary64) c) b)) #s(literal -3 binary64)) |
(/.f64 #s(approx (/ (- (* b b) (+ (* -3 (* a c)) (* b b))) (* a (+ b (sqrt (+ (* -3 (* a c)) (* b b)))))) (/.f64 (*.f64 c #s(literal 3/2 binary64)) b)) #s(literal -3 binary64)) |
(/.f64 #s(approx (/ (- b (sqrt (+ (* -3 (* a c)) (* b b)))) -3) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a c)) b)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1 binary64) c))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c #s(approx (+ (* c (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5)))) (/ (* a -3/2) b)) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))))) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (/ (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b))))) (* b b)) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b (* b b)))) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b b))) (*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 a c) b))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 #s(approx (- (* b b) (+ (* -3 (* a c)) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (*.f64 a #s(approx (+ b (sqrt (+ (* -3 (* a c)) (* b b)))) (*.f64 b #s(literal 2 binary64))))) #s(literal -3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* -9/16 (/ (* a (* a (* c (* c c)))) (pow b 4))) (+ (* -1/6 (* (* (pow a 4) (pow c 4)) (/ 405/64 (* a (pow b 6))))) (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (+ (* (* c (* a c)) (/ -3/8 (* b b))) (* c -1/2)) (+ (* -9/16 (/ (* a (* a (* c (* c c)))) (* b (* b (* b b))))) (/ (* (* (* a (* a (* a a))) (* (* c (* c (* c c))) 405/64)) -1/6) (* (* b (* b b)) (* (* b (* b b)) a))))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)))) b)) |
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))) b)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) b)) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) b) a) #s(literal 1/3 binary64)) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))) b) #s(literal 1/3 binary64)) a) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) b) #s(literal 1/3 binary64)) a) |
(/.f64 (-.f64 (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))) b) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b)) |
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1/2 binary64) b)))) |
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 #s(literal -1/2 binary64) c)) b)) |
#s(approx (/ (/ (- (* b b) (+ (* -3 (* a c)) (* b b))) (* a (+ b (sqrt (+ (* -3 (* a c)) (* b b)))))) -3) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b)))) |
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#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 a b)) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 a #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1/2 binary64) b)))) |
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 c (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) (*.f64 b a)) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 b (*.f64 b b))))) (/.f64 #s(literal -1/2 binary64) b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* -9/16 (/ (* a (* a (* c (* c c)))) (pow b 4))) (+ (* -1/6 (* (* (pow a 4) (pow c 4)) (/ 405/64 (* a (pow b 6))))) (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)))) (*.f64 (pow.f64 c #s(literal 4 binary64)) (fma.f64 #s(literal -135/128 binary64) (/.f64 (*.f64 a (*.f64 a a)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a a) (*.f64 (pow.f64 b #s(literal 4 binary64)) c)) (fma.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 (*.f64 c c) (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 c c)))))))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 a (fma.f64 a (fma.f64 (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) |
(/.f64 #s(approx (/ (- (* b b) (+ (* -3 (* a c)) (* b b))) (* a (+ b (sqrt (+ (* -3 (* a c)) (* b b)))))) (fma.f64 a (fma.f64 a (fma.f64 (*.f64 #s(literal -3 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 7 binary64))) #s(literal -135/128 binary64)) (/.f64 (*.f64 #s(literal 27/16 binary64) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal 9/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 #s(literal 3/2 binary64) c) b))) #s(literal -3 binary64)) |
(/.f64 #s(approx (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 c (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) (*.f64 b a)) (/.f64 (*.f64 #s(literal 27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal 9/8 binary64) a) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 3/2 binary64) b)))) #s(literal -3 binary64)) |
(/.f64 #s(approx (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (fma.f64 a (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) (/.f64 (*.f64 #s(literal 27/16 binary64) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal 9/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 c #s(literal 3/2 binary64)) b))) #s(literal -3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* -9/16 (/ (* a (* a (* c (* c c)))) (pow b 4))) (+ (* -1/6 (* (* (pow a 4) (pow c 4)) (/ 405/64 (* a (pow b 6))))) (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)))) (*.f64 (*.f64 a (*.f64 a a)) (fma.f64 #s(literal -135/128 binary64) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) (*.f64 a a))) (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 a (*.f64 a a))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 c (*.f64 c c))) (*.f64 (pow.f64 b #s(literal 4 binary64)) a))))))) b)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 a (fma.f64 a (fma.f64 a (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 c #s(literal -3/2 binary64)) b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 a (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 c #s(literal -1/2 binary64)) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64)))) b)) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (*.f64 a (pow.f64 b #s(literal 6 binary64))))) (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))))) b)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) #s(literal -27/16 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 a (*.f64 c #s(literal -3/2 binary64)) (/.f64 (*.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 a a)) (*.f64 b b))))) b)) (*.f64 #s(literal 3 binary64) a)) |
| Outputs |
|---|
(/.f64 #s(approx (- (* b b) (+ (* -3 (* a c)) (* b b))) (*.f64 c (*.f64 a #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal -3 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) |
5 calls:
| 83.0ms | b |
| 46.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 43.0ms | a |
| 41.0ms | c |
| 41.0ms | (*.f64 #s(literal 3 binary64) a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 1 | a |
| 99.3% | 1 | b |
| 99.3% | 1 | c |
| 99.3% | 1 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 99.3% | 1 | (*.f64 #s(literal 3 binary64) a) |
Compiled 38 to 26 computations (31.6% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) b))) |
(/.f64 #s(approx (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (/.f64 (*.f64 c #s(literal 3/2 binary64)) b)) #s(literal -3 binary64)) |
(/.f64 #s(approx (/ (- (* b b) (+ (* -3 (* a c)) (* b b))) (* a (+ b (sqrt (+ (* -3 (* a c)) (* b b)))))) (/.f64 (*.f64 #s(literal 3/2 binary64) c) b)) #s(literal -3 binary64)) |
(/.f64 #s(approx (/ (- (* b b) (+ (* -3 (* a c)) (* b b))) (* a (+ b (sqrt (+ (* -3 (* a c)) (* b b)))))) (/.f64 (*.f64 c #s(literal 3/2 binary64)) b)) #s(literal -3 binary64)) |
(/.f64 #s(approx (/ (- b (sqrt (+ (* -3 (* a c)) (* b b)))) -3) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a c)) b)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1 binary64) c))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c #s(approx (+ (* c (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5)))) (/ (* a -3/2) b)) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))))) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (/ (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b))))) (* b b)) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b (* b b)))) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b b))) (*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 a c) b))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 #s(approx (- (* b b) (+ (* -3 (* a c)) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (*.f64 a #s(approx (+ b (sqrt (+ (* -3 (* a c)) (* b b)))) (*.f64 b #s(literal 2 binary64))))) #s(literal -3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* -9/16 (/ (* a (* a (* c (* c c)))) (pow b 4))) (+ (* -1/6 (* (* (pow a 4) (pow c 4)) (/ 405/64 (* a (pow b 6))))) (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (+ (* (* c (* a c)) (/ -3/8 (* b b))) (* c -1/2)) (+ (* -9/16 (/ (* a (* a (* c (* c c)))) (* b (* b (* b b))))) (/ (* (* (* a (* a (* a a))) (* (* c (* c (* c c))) 405/64)) -1/6) (* (* b (* b b)) (* (* b (* b b)) a))))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)))) b)) |
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))) b)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) b)) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) b) a) #s(literal 1/3 binary64)) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))) b) #s(literal 1/3 binary64)) a) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) b) #s(literal 1/3 binary64)) a) |
(/.f64 (-.f64 (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))) b) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b)) |
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1/2 binary64) b)))) |
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 #s(literal -1/2 binary64) c)) b)) |
#s(approx (/ (/ (- (* b b) (+ (* -3 (* a c)) (* b b))) (* a (+ b (sqrt (+ (* -3 (* a c)) (* b b)))))) -3) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b)))) |
#s(approx (/ (/ (- (* b b) (+ (* -3 (* a c)) (* b b))) (* a (+ b (sqrt (+ (* -3 (* a c)) (* b b)))))) -3) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 #s(literal -1/2 binary64) c)) b)) |
#s(approx (/ (/ (- (* b b) (+ (* -3 (* a c)) (* b b))) (* a (+ b (sqrt (+ (* -3 (* a c)) (* b b)))))) -3) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))) b) #s(literal 1/3 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) b) #s(literal 1/3 binary64))) |
(/.f64 (-.f64 (*.f64 b #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) #s(literal -1/3 binary64))) a) |
(/.f64 (fma.f64 b #s(literal -1/3 binary64) (neg.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) #s(literal -1/3 binary64)))) a) |
(/.f64 #s(literal -1/3 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))))) |
(/.f64 (/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* a (* -3 c)) (* b b)) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) a) #s(literal -3 binary64)) |
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal -3 binary64)) a) |
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))) b) a) #s(literal 3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 c (/.f64 #s(literal -1/2 binary64) b) (/.f64 (*.f64 (*.f64 a (*.f64 c c)) #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b))))) |
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (fma.f64 #s(literal -1/2 binary64) (/.f64 c b) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b (*.f64 b b))))) |
#s(approx (/ (/ (- (* b b) (+ (* -3 (* a c)) (* b b))) (* a (+ b (sqrt (+ (* -3 (* a c)) (* b b)))))) -3) (fma.f64 #s(literal -1/2 binary64) (/.f64 c b) (/.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c c)) (*.f64 b (*.f64 b b))))) |
#s(approx (/ (/ (- (* b b) (+ (* -3 (* a c)) (* b b))) (* a (+ b (sqrt (+ (* -3 (* a c)) (* b b)))))) -3) (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))) |
(*.f64 #s(approx (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (/.f64 (fma.f64 #s(literal 9/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal 3/2 binary64))) b)) #s(literal -1/3 binary64)) |
(/.f64 #s(approx (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (/.f64 #s(approx (+ (* c 3/2) (/ (* 9/8 (* a (* c c))) (* b b))) (*.f64 c (fma.f64 #s(literal 9/8 binary64) (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal 3/2 binary64)))) b)) #s(literal -3 binary64)) |
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -3 binary64))) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -3 binary64) (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) a)) |
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) b) #s(literal 1/3 binary64)))) |
(/.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (/.f64 #s(literal 1 binary64) a)) #s(literal -3 binary64)) |
(/.f64 #s(approx (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b (*.f64 b b)))) #s(literal 9/8 binary64) (/.f64 #s(literal 3/2 binary64) b)))) #s(literal -3 binary64)) |
(/.f64 #s(approx (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (/.f64 (fma.f64 c #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal 9/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b)) #s(literal -3 binary64)) |
(/.f64 #s(approx (/ (- (* b b) (+ (* -3 (* a c)) (* b b))) (* a (+ b (sqrt (+ (* -3 (* a c)) (* b b)))))) (*.f64 c (fma.f64 #s(literal 9/8 binary64) (/.f64 (*.f64 a c) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 3/2 binary64) b)))) #s(literal -3 binary64)) |
(/.f64 #s(approx (/ (- (* b b) (+ (* -3 (* a c)) (* b b))) (* a (+ b (sqrt (+ (* -3 (* a c)) (* b b)))))) (*.f64 c (fma.f64 (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #s(literal 9/8 binary64) (/.f64 #s(literal 3/2 binary64) b)))) #s(literal -3 binary64)) |
(/.f64 #s(approx (/ (- (* b b) (+ (* -3 (* a c)) (* b b))) (* a (+ b (sqrt (+ (* -3 (* a c)) (* b b)))))) (/.f64 (fma.f64 #s(literal 9/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 #s(literal 3/2 binary64) c)) b)) #s(literal -3 binary64)) |
(/.f64 #s(approx (/ (- (* b b) (+ (* -3 (* a c)) (* b b))) (* a (+ b (sqrt (+ (* -3 (* a c)) (* b b)))))) (/.f64 (fma.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) #s(literal 9/8 binary64) (*.f64 c #s(literal 3/2 binary64))) b)) #s(literal -3 binary64)) |
(*.f64 (/.f64 #s(approx (- (* b b) (+ (* -3 (* a c)) (* b b))) (*.f64 c (*.f64 a #s(literal 3 binary64)))) (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) #s(literal -1/3 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 #s(approx (- (* b b) (+ (* -3 (* a c)) (* b b))) (*.f64 c (*.f64 a #s(literal 3 binary64)))) (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) #s(literal -1/3 binary64)) |
5 calls:
| 54.0ms | c |
| 32.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 22.0ms | (*.f64 #s(literal 3 binary64) a) |
| 19.0ms | a |
| 17.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 1 | a |
| 99.0% | 1 | b |
| 99.0% | 1 | c |
| 99.0% | 1 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 99.0% | 1 | (*.f64 #s(literal 3 binary64) a) |
Compiled 38 to 26 computations (31.6% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) b))) |
(/.f64 #s(approx (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (/.f64 (*.f64 c #s(literal 3/2 binary64)) b)) #s(literal -3 binary64)) |
(/.f64 #s(approx (/ (- (* b b) (+ (* -3 (* a c)) (* b b))) (* a (+ b (sqrt (+ (* -3 (* a c)) (* b b)))))) (/.f64 (*.f64 #s(literal 3/2 binary64) c) b)) #s(literal -3 binary64)) |
(/.f64 #s(approx (/ (- (* b b) (+ (* -3 (* a c)) (* b b))) (* a (+ b (sqrt (+ (* -3 (* a c)) (* b b)))))) (/.f64 (*.f64 c #s(literal 3/2 binary64)) b)) #s(literal -3 binary64)) |
(/.f64 #s(approx (/ (- b (sqrt (+ (* -3 (* a c)) (* b b)))) -3) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a c)) b)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1 binary64) c))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c #s(approx (+ (* c (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5)))) (/ (* a -3/2) b)) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))))) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (/ (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b))))) (* b b)) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b (* b b)))) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b b))) (*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 a c) b))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 #s(approx (- (* b b) (+ (* -3 (* a c)) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (*.f64 a #s(approx (+ b (sqrt (+ (* -3 (* a c)) (* b b)))) (*.f64 b #s(literal 2 binary64))))) #s(literal -3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* -9/16 (/ (* a (* a (* c (* c c)))) (pow b 4))) (+ (* -1/6 (* (* (pow a 4) (pow c 4)) (/ 405/64 (* a (pow b 6))))) (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (+ (* (* c (* a c)) (/ -3/8 (* b b))) (* c -1/2)) (+ (* -9/16 (/ (* a (* a (* c (* c c)))) (* b (* b (* b b))))) (/ (* (* (* a (* a (* a a))) (* (* c (* c (* c c))) 405/64)) -1/6) (* (* b (* b b)) (* (* b (* b b)) a))))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)))) b)) |
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))) b)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) b)) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) b) a) #s(literal 1/3 binary64)) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))) b) #s(literal 1/3 binary64)) a) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) b) #s(literal 1/3 binary64)) a) |
(/.f64 (-.f64 (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))) b) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b)) |
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1/2 binary64) b)))) |
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 #s(literal -1/2 binary64) c)) b)) |
#s(approx (/ (/ (- (* b b) (+ (* -3 (* a c)) (* b b))) (* a (+ b (sqrt (+ (* -3 (* a c)) (* b b)))))) -3) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b)))) |
#s(approx (/ (/ (- (* b b) (+ (* -3 (* a c)) (* b b))) (* a (+ b (sqrt (+ (* -3 (* a c)) (* b b)))))) -3) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 #s(literal -1/2 binary64) c)) b)) |
#s(approx (/ (/ (- (* b b) (+ (* -3 (* a c)) (* b b))) (* a (+ b (sqrt (+ (* -3 (* a c)) (* b b)))))) -3) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))) b) #s(literal 1/3 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) b) #s(literal 1/3 binary64))) |
(/.f64 (-.f64 (*.f64 b #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) #s(literal -1/3 binary64))) a) |
(/.f64 (fma.f64 b #s(literal -1/3 binary64) (neg.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) #s(literal -1/3 binary64)))) a) |
(/.f64 #s(literal -1/3 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))))) |
(/.f64 (/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* a (* -3 c)) (* b b)) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) a) #s(literal -3 binary64)) |
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal -3 binary64)) a) |
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))) b) a) #s(literal 3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 c (/.f64 #s(literal -1/2 binary64) b) (/.f64 (*.f64 (*.f64 a (*.f64 c c)) #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b))))) |
#s(approx (/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3) (fma.f64 #s(literal -1/2 binary64) (/.f64 c b) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b (*.f64 b b))))) |
#s(approx (/ (/ (- (* b b) (+ (* -3 (* a c)) (* b b))) (* a (+ b (sqrt (+ (* -3 (* a c)) (* b b)))))) -3) (fma.f64 #s(literal -1/2 binary64) (/.f64 c b) (/.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c c)) (*.f64 b (*.f64 b b))))) |
#s(approx (/ (/ (- (* b b) (+ (* -3 (* a c)) (* b b))) (* a (+ b (sqrt (+ (* -3 (* a c)) (* b b)))))) -3) (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))) |
(*.f64 #s(approx (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (/.f64 (fma.f64 #s(literal 9/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal 3/2 binary64))) b)) #s(literal -1/3 binary64)) |
(/.f64 #s(approx (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (/.f64 #s(approx (+ (* c 3/2) (/ (* 9/8 (* a (* c c))) (* b b))) (*.f64 c (fma.f64 #s(literal 9/8 binary64) (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal 3/2 binary64)))) b)) #s(literal -3 binary64)) |
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -3 binary64))) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -3 binary64) (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) a)) |
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) b) #s(literal 1/3 binary64)))) |
(/.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (/.f64 #s(literal 1 binary64) a)) #s(literal -3 binary64)) |
(/.f64 #s(approx (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (*.f64 c (fma.f64 (*.f64 a (/.f64 c (*.f64 b (*.f64 b b)))) #s(literal 9/8 binary64) (/.f64 #s(literal 3/2 binary64) b)))) #s(literal -3 binary64)) |
(/.f64 #s(approx (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (/.f64 (fma.f64 c #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal 9/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b)) #s(literal -3 binary64)) |
(/.f64 #s(approx (/ (- (* b b) (+ (* -3 (* a c)) (* b b))) (* a (+ b (sqrt (+ (* -3 (* a c)) (* b b)))))) (*.f64 c (fma.f64 #s(literal 9/8 binary64) (/.f64 (*.f64 a c) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 3/2 binary64) b)))) #s(literal -3 binary64)) |
(/.f64 #s(approx (/ (- (* b b) (+ (* -3 (* a c)) (* b b))) (* a (+ b (sqrt (+ (* -3 (* a c)) (* b b)))))) (*.f64 c (fma.f64 (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) #s(literal 9/8 binary64) (/.f64 #s(literal 3/2 binary64) b)))) #s(literal -3 binary64)) |
(/.f64 #s(approx (/ (- (* b b) (+ (* -3 (* a c)) (* b b))) (* a (+ b (sqrt (+ (* -3 (* a c)) (* b b)))))) (/.f64 (fma.f64 #s(literal 9/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 #s(literal 3/2 binary64) c)) b)) #s(literal -3 binary64)) |
(/.f64 #s(approx (/ (- (* b b) (+ (* -3 (* a c)) (* b b))) (* a (+ b (sqrt (+ (* -3 (* a c)) (* b b)))))) (/.f64 (fma.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) #s(literal 9/8 binary64) (*.f64 c #s(literal 3/2 binary64))) b)) #s(literal -3 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b)) |
5 calls:
| 36.0ms | b |
| 29.0ms | c |
| 20.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 20.0ms | (*.f64 #s(literal 3 binary64) a) |
| 17.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.9% | 1 | a |
| 86.4% | 2 | b |
| 86.3% | 2 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 81.9% | 1 | (*.f64 #s(literal 3 binary64) a) |
| 81.9% | 1 | c |
Compiled 38 to 26 computations (31.6% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) b))) |
(/.f64 #s(approx (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (/.f64 (*.f64 c #s(literal 3/2 binary64)) b)) #s(literal -3 binary64)) |
(/.f64 #s(approx (/ (- (* b b) (+ (* -3 (* a c)) (* b b))) (* a (+ b (sqrt (+ (* -3 (* a c)) (* b b)))))) (/.f64 (*.f64 #s(literal 3/2 binary64) c) b)) #s(literal -3 binary64)) |
(/.f64 #s(approx (/ (- (* b b) (+ (* -3 (* a c)) (* b b))) (* a (+ b (sqrt (+ (* -3 (* a c)) (* b b)))))) (/.f64 (*.f64 c #s(literal 3/2 binary64)) b)) #s(literal -3 binary64)) |
(/.f64 #s(approx (/ (- b (sqrt (+ (* -3 (* a c)) (* b b)))) -3) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a c)) b)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1 binary64) c))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c #s(approx (+ (* c (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5)))) (/ (* a -3/2) b)) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))))) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (/ (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b))))) (* b b)) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b (* b b)))) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b b))) (*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 a c) b))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 #s(approx (- (* b b) (+ (* -3 (* a c)) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (*.f64 a #s(approx (+ b (sqrt (+ (* -3 (* a c)) (* b b)))) (*.f64 b #s(literal 2 binary64))))) #s(literal -3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* -9/16 (/ (* a (* a (* c (* c c)))) (pow b 4))) (+ (* -1/6 (* (* (pow a 4) (pow c 4)) (/ 405/64 (* a (pow b 6))))) (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (+ (* (* c (* a c)) (/ -3/8 (* b b))) (* c -1/2)) (+ (* -9/16 (/ (* a (* a (* c (* c c)))) (* b (* b (* b b))))) (/ (* (* (* a (* a (* a a))) (* (* c (* c (* c c))) 405/64)) -1/6) (* (* b (* b b)) (* (* b (* b b)) a))))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)))) b)) |
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))) b)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) b)) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) b) a) #s(literal 1/3 binary64)) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))) b) #s(literal 1/3 binary64)) a) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) b) #s(literal 1/3 binary64)) a) |
(/.f64 (-.f64 (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))) b) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b)))) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* -9/16 (/ (* a (* a (* c (* c c)))) (pow b 4))) (+ (* -1/6 (* (* (pow a 4) (pow c 4)) (/ 405/64 (* a (pow b 6))))) (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)))) b)) |
1 calls:
| 9.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.4% | 2 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) b))) |
(/.f64 #s(approx (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (/.f64 (*.f64 c #s(literal 3/2 binary64)) b)) #s(literal -3 binary64)) |
(/.f64 #s(approx (/ (- (* b b) (+ (* -3 (* a c)) (* b b))) (* a (+ b (sqrt (+ (* -3 (* a c)) (* b b)))))) (/.f64 (*.f64 #s(literal 3/2 binary64) c) b)) #s(literal -3 binary64)) |
(/.f64 #s(approx (/ (- (* b b) (+ (* -3 (* a c)) (* b b))) (* a (+ b (sqrt (+ (* -3 (* a c)) (* b b)))))) (/.f64 (*.f64 c #s(literal 3/2 binary64)) b)) #s(literal -3 binary64)) |
(/.f64 #s(approx (/ (- b (sqrt (+ (* -3 (* a c)) (* b b)))) -3) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a c)) b)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1 binary64) c))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c #s(approx (+ (* c (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5)))) (/ (* a -3/2) b)) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))))) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (/ (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b))))) (* b b)) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b (* b b)))) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b b))) (*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 a c) b))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 #s(approx (- (* b b) (+ (* -3 (* a c)) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (*.f64 a #s(approx (+ b (sqrt (+ (* -3 (* a c)) (* b b)))) (*.f64 b #s(literal 2 binary64))))) #s(literal -3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* -9/16 (/ (* a (* a (* c (* c c)))) (pow b 4))) (+ (* -1/6 (* (* (pow a 4) (pow c 4)) (/ 405/64 (* a (pow b 6))))) (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (+ (* (* c (* a c)) (/ -3/8 (* b b))) (* c -1/2)) (+ (* -9/16 (/ (* a (* a (* c (* c c)))) (* b (* b (* b b))))) (/ (* (* (* a (* a (* a a))) (* (* c (* c (* c c))) 405/64)) -1/6) (* (* b (* b b)) (* (* b (* b b)) a))))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)))) b)) |
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* -9/16 (/ (* a (* a (* c (* c c)))) (pow b 4))) (+ (* -1/6 (* (* (pow a 4) (pow c 4)) (/ 405/64 (* a (pow b 6))))) (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)))) b)) |
1 calls:
| 6.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.3% | 2 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) b))) |
(/.f64 #s(approx (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (/.f64 (*.f64 c #s(literal 3/2 binary64)) b)) #s(literal -3 binary64)) |
(/.f64 #s(approx (/ (- (* b b) (+ (* -3 (* a c)) (* b b))) (* a (+ b (sqrt (+ (* -3 (* a c)) (* b b)))))) (/.f64 (*.f64 #s(literal 3/2 binary64) c) b)) #s(literal -3 binary64)) |
(/.f64 #s(approx (/ (- (* b b) (+ (* -3 (* a c)) (* b b))) (* a (+ b (sqrt (+ (* -3 (* a c)) (* b b)))))) (/.f64 (*.f64 c #s(literal 3/2 binary64)) b)) #s(literal -3 binary64)) |
(/.f64 #s(approx (/ (- b (sqrt (+ (* -3 (* a c)) (* b b)))) -3) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a c)) b)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1 binary64) c))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c #s(approx (+ (* c (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5)))) (/ (* a -3/2) b)) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))))) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (/ (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b))))) (* b b)) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b (* b b)))) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b b))) (*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 a c) b))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 #s(approx (- (* b b) (+ (* -3 (* a c)) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (*.f64 a #s(approx (+ b (sqrt (+ (* -3 (* a c)) (* b b)))) (*.f64 b #s(literal 2 binary64))))) #s(literal -3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* -9/16 (/ (* a (* a (* c (* c c)))) (pow b 4))) (+ (* -1/6 (* (* (pow a 4) (pow c 4)) (/ 405/64 (* a (pow b 6))))) (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (+ (* (* c (* a c)) (/ -3/8 (* b b))) (* c -1/2)) (+ (* -9/16 (/ (* a (* a (* c (* c c)))) (* b (* b (* b b))))) (/ (* (* (* a (* a (* a a))) (* (* c (* c (* c c))) 405/64)) -1/6) (* (* b (* b b)) (* (* b (* b b)) a))))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)))) b)) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* -9/16 (/ (* a (* a (* c (* c c)))) (pow b 4))) (+ (* -1/6 (* (* (pow a 4) (pow c 4)) (/ 405/64 (* a (pow b 6))))) (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)))) b)) |
5 calls:
| 39.0ms | a |
| 7.0ms | b |
| 5.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 5.0ms | c |
| 5.0ms | (*.f64 #s(literal 3 binary64) a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.8% | 1 | a |
| 81.8% | 1 | (*.f64 #s(literal 3 binary64) a) |
| 81.8% | 1 | c |
| 81.8% | 1 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 81.8% | 1 | b |
Compiled 38 to 26 computations (31.6% saved)
Total -0.2b remaining (-0.7%)
Threshold costs -0.2b (-0.7%)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) b))) |
(/.f64 #s(approx (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) (/.f64 (*.f64 c #s(literal 3/2 binary64)) b)) #s(literal -3 binary64)) |
(/.f64 #s(approx (/ (- (* b b) (+ (* -3 (* a c)) (* b b))) (* a (+ b (sqrt (+ (* -3 (* a c)) (* b b)))))) (/.f64 (*.f64 #s(literal 3/2 binary64) c) b)) #s(literal -3 binary64)) |
(/.f64 #s(approx (/ (- (* b b) (+ (* -3 (* a c)) (* b b))) (* a (+ b (sqrt (+ (* -3 (* a c)) (* b b)))))) (/.f64 (*.f64 c #s(literal 3/2 binary64)) b)) #s(literal -3 binary64)) |
(/.f64 #s(approx (/ (- b (sqrt (+ (* -3 (* a c)) (* b b)))) -3) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a c)) b)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1 binary64) c))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 c #s(approx (+ (* c (+ (* -9/8 (* a (/ a (* b (* b b))))) (/ (* (* (* a (* a a)) -27/16) c) (pow b 5)))) (/ (* a -3/2) b)) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))))) (/.f64 (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (/ (- (* (sqrt (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b))))) (* b b)) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b (* b b)))) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b b))) (*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 a c) b))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 #s(approx (- (* b b) (+ (* -3 (* a c)) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c))) (*.f64 a #s(approx (+ b (sqrt (+ (* -3 (* a c)) (* b b)))) (*.f64 b #s(literal 2 binary64))))) #s(literal -3 binary64)) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
5 calls:
| 22.0ms | a |
| 5.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 5.0ms | c |
| 5.0ms | (*.f64 #s(literal 3 binary64) a) |
| 5.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.1% | 1 | b |
| 64.1% | 1 | c |
| 64.1% | 1 | a |
| 64.1% | 1 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 64.1% | 1 | (*.f64 #s(literal 3 binary64) a) |
Compiled 38 to 26 computations (31.6% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 2.0ms | 6.454935001853796 | 6.765206252589448 |
| 1.0ms | 15× | 0 | valid |
| 0.0ms | 2× | 0 | invalid |
| 0.0ms | 1× | 1 | valid |
Compiled 64 to 44 computations (31.3% saved)
ival-div: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-sqrt: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-neg: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.454935001853796 | 6.765206252589448 |
Compiled 63 to 43 computations (31.7% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.454935001853796 | 6.765206252589448 |
Compiled 62 to 43 computations (30.6% saved)
| 1× | egg-herbie |
| 36× | *-commutative_binary64 |
| 10× | +-commutative_binary64 |
| 8× | sub-neg_binary64 |
| 4× | neg-sub0_binary64 |
| 4× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 106 | 486 |
| 1 | 127 | 486 |
| 2 | 135 | 486 |
| 3 | 139 | 486 |
| 4 | 141 | 486 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 #s(approx (- (* b b) (+ (* -3 (* a c)) (* b b))) (*.f64 c (*.f64 a #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal -3 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) |
(*.f64 (/.f64 #s(approx (- (* b b) (+ (* -3 (* a c)) (* b b))) (*.f64 c (*.f64 a #s(literal 3 binary64)))) (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) #s(literal -1/3 binary64)) |
(if (<=.f64 b #s(literal 7543529375845581/1125899906842624 binary64)) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))) b)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b))) |
(if (<=.f64 b #s(literal 7543529375845581/1125899906842624 binary64)) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))) b)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* -9/16 (/ (* a (* a (* c (* c c)))) (pow b 4))) (+ (* -1/6 (* (* (pow a 4) (pow c 4)) (/ 405/64 (* a (pow b 6))))) (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)))) b))) |
(if (<=.f64 b #s(literal 7543529375845581/1125899906842624 binary64)) (*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* -9/16 (/ (* a (* a (* c (* c c)))) (pow b 4))) (+ (* -1/6 (* (* (pow a 4) (pow c 4)) (/ 405/64 (* a (pow b 6))))) (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)))) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* -9/16 (/ (* a (* a (* c (* c c)))) (pow b 4))) (+ (* -1/6 (* (* (pow a 4) (pow c 4)) (/ 405/64 (* a (pow b 6))))) (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
| Outputs |
|---|
(/.f64 #s(approx (- (* b b) (+ (* -3 (* a c)) (* b b))) (*.f64 c (*.f64 a #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal -3 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) |
(*.f64 (/.f64 #s(approx (- (* b b) (+ (* -3 (* a c)) (* b b))) (*.f64 c (*.f64 a #s(literal 3 binary64)))) (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) #s(literal -1/3 binary64)) |
(if (<=.f64 b #s(literal 7543529375845581/1125899906842624 binary64)) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))) b)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b))) |
(if (<=.f64 b #s(literal 7543529375845581/1125899906842624 binary64)) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 #s(approx (/ (+ (* -9 (* a (* c (* a c)))) (* b (* b (* b b)))) (+ (* 3 (* a c)) (* b b))) (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))) b)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* -9/16 (/ (* a (* a (* c (* c c)))) (pow b 4))) (+ (* -1/6 (* (* (pow a 4) (pow c 4)) (/ 405/64 (* a (pow b 6))))) (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)))) b))) |
(if (<=.f64 b #s(literal 7543529375845581/1125899906842624 binary64)) (*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* -9/16 (/ (* a (* a (* c (* c c)))) (pow b 4))) (+ (* -1/6 (* (* (pow a 4) (pow c 4)) (/ 405/64 (* a (pow b 6))))) (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)))) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* -9/16 (/ (* a (* a (* c (* c c)))) (pow b 4))) (+ (* -1/6 (* (* (pow a 4) (pow c 4)) (/ 405/64 (* a (pow b 6))))) (+ (* a (/ (* (* c c) -3/8) (* b b))) (* c -1/2)))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
| 11 360× | lower-fma.f64 |
| 11 360× | lower-fma.f32 |
| 8 162× | lower-fma.f64 |
| 8 162× | lower-fma.f32 |
| 7 310× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 470 | 2458 |
| 1 | 1445 | 2441 |
| 2 | 4896 | 2418 |
| 0 | 8064 | 2302 |
| 0 | 95 | 633 |
| 0 | 142 | 595 |
| 1 | 578 | 573 |
| 2 | 4542 | 573 |
| 0 | 8478 | 564 |
| 0 | 2602 | 24856 |
| 1 | 7402 | 24726 |
| 0 | 8283 | 23794 |
| 0 | 1118 | 17533 |
| 1 | 3608 | 17423 |
| 0 | 8348 | 16692 |
| 0 | 12 | 46 |
| 0 | 20 | 46 |
| 1 | 71 | 44 |
| 2 | 525 | 43 |
| 3 | 6836 | 43 |
| 0 | 8125 | 40 |
| 0 | 84 | 572 |
| 0 | 149 | 524 |
| 1 | 555 | 504 |
| 2 | 4201 | 504 |
| 0 | 8794 | 504 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 407 to 182 computations (55.3% saved)
Compiled 394 to 124 computations (68.5% saved)
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