
Time bar (total: 14.6s)
| 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 |
| 6.8% | 0% | 0% | 100% | 0% | 0% | 0% | 7 |
| 15.9% | 0% | 0% | 100% | 0% | 0% | 0% | 8 |
| 23.1% | 0% | 0% | 100% | 0% | 0% | 0% | 9 |
| 36.5% | 0% | 0% | 100% | 0% | 0% | 0% | 10 |
| 45.4% | 0% | 0% | 100% | 0% | 0% | 0% | 11 |
| 52.3% | 0% | 0% | 100% | 0% | 0% | 0% | 12 |
Compiled 41 to 26 computations (36.6% saved)
| 1.3s | 6 754× | 1 | valid |
| 356.0ms | 1 502× | 0 | valid |
| 123.0ms | 1 134× | 0 | invalid |
ival-<: 257.0ms (18.3% of total)ival-mult: 248.0ms (17.7% of total)adjust: 204.0ms (14.6% of total)const: 169.0ms (12.1% of total)ival-sqrt: 141.0ms (10.1% of total)ival-div: 109.0ms (7.8% of total)ival-sub: 87.0ms (6.2% of total)ival-add: 78.0ms (5.6% of total)ival-neg: 62.0ms (4.4% of total)ival-and: 32.0ms (2.3% of total)exact: 10.0ms (0.7% of total)ival-assert: 3.0ms (0.2% 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)) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 249 | 1 | (3.412012572931659e+28 17562680499953754000.0 17766706.8884167) | 0 | - | (+.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 | 250 | 2 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 249 | 1 |
| - | 1 | 5 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 249 | 0 | 1 |
| - | 1 | 2 | 3 |
| number | freq |
|---|---|
| 0 | 6 |
| 1 | 250 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 66.0ms | 414× | 1 | valid |
| 8.0ms | 98× | 0 | valid |
Compiled 176 to 52 computations (70.5% saved)
ival-mult: 16.0ms (33.8% of total)adjust: 7.0ms (14.8% of total)ival-sqrt: 7.0ms (14.8% of total)ival-div: 6.0ms (12.7% of total)ival-add: 4.0ms (8.5% of total)ival-sub: 4.0ms (8.5% of total)ival-neg: 2.0ms (4.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)Compiled 3 to 3 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 18.1% | (/.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)) |
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 | 99.8% | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) |
| ✓ | accuracy | 99.6% | (*.f64 (*.f64 #s(literal 3 binary64) a) c) |
| ✓ | accuracy | 99.4% | (/.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 | 18.3% | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
| 36.0ms | 207× | 1 | valid |
| 4.0ms | 49× | 0 | valid |
Compiled 68 to 14 computations (79.4% saved)
ival-mult: 6.0ms (26% of total)adjust: 4.0ms (17.3% of total)ival-sub: 4.0ms (17.3% of total)ival-div: 3.0ms (13% of total)ival-sqrt: 3.0ms (13% of total)ival-add: 2.0ms (8.7% of total)ival-neg: 1.0ms (4.3% 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 | |
|---|---|---|---|---|
| 6.0ms | a | @ | -inf | (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) |
| 3.0ms | c | @ | 0 | (/ (+ (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× | 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 (*.f64 b #s(literal -1/3 binary64)) (*.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 (*.f64 b #s(literal -1/3 binary64)) (*.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 (/.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)) (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 (*.f64 b #s(literal -1/3 binary64)) (*.f64 a c)))))) |
(* -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 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 #s(literal 3 binary64)))) 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))) |
| 1× | batch-egg-rewrite |
| 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)
18 alts after pruning (18 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 536 | 18 | 554 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 537 | 18 | 555 |
| Status | Accuracy | Program |
|---|---|---|
| 18.4% | (/.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)) | |
| 17.9% | (/.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)) | |
| 18.1% | (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) | |
| ▶ | 18.4% | (/.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)) |
| 18.1% | (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 3 binary64) a)) | |
| ▶ | 18.1% | (/.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)) |
| 95.1% | (/.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)) | |
| 89.7% | (/.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)) | |
| 95.2% | (/.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)) | |
| 17.7% | (-.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))) | |
| 18.1% | (*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) | |
| ▶ | 95.5% | #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))))) |
| 97.6% | #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)) | |
| 95.8% | #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)) | |
| 97.2% | #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)))) | |
| ▶ | 97.9% | #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)))) |
| 95.5% | #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)))) | |
| ▶ | 90.3% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
Compiled 1 008 to 554 computations (45% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) |
| ✓ | cost-diff | 0 | (/.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))))) |
| ✓ | cost-diff | 1536 | (/.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)) |
| ✓ | cost-diff | 3456 | (-.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)))))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (*.f64 a (*.f64 c c)) #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -1/2 binary64) b) |
| ✓ | cost-diff | 0 | #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))))) |
| ✓ | cost-diff | 640 | (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)))) |
| ✓ | cost-diff | 0 | (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) |
| ✓ | cost-diff | 0 | (neg.f64 b) |
| ✓ | cost-diff | 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)) |
| ✓ | cost-diff | 128 | (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) |
| ✓ | 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 | 0 | (*.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))) |
| ✓ | cost-diff | 0 | #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)))) |
| ✓ | cost-diff | 320 | (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)))) |
| ✓ | cost-diff | 704 | (/.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)) |
| 7 520× | lower-fma.f32 |
| 7 508× | lower-fma.f64 |
| 4 422× | lower-*.f32 |
| 4 390× | lower-*.f64 |
| 4 034× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 66 | 658 |
| 0 | 113 | 639 |
| 1 | 221 | 630 |
| 2 | 566 | 625 |
| 3 | 1759 | 623 |
| 4 | 4332 | 567 |
| 5 | 6210 | 566 |
| 0 | 8054 | 559 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#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)))) |
(*.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))) |
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)) |
(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)))) |
(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)))) |
#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 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) c)) |
(/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) |
(pow.f64 a #s(literal 4 binary64)) |
a |
#s(literal 4 binary64) |
(pow.f64 b #s(literal 6 binary64)) |
b |
#s(literal 6 binary64) |
(*.f64 #s(literal 405/64 binary64) c) |
#s(literal 405/64 binary64) |
(*.f64 a b) |
(/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64))) |
(*.f64 (*.f64 a a) #s(literal -9/16 binary64)) |
(*.f64 a a) |
#s(literal -9/16 binary64) |
(pow.f64 b #s(literal 5 binary64)) |
#s(literal 5 binary64) |
(/.f64 (*.f64 a #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b))) |
(*.f64 a #s(literal -3/8 binary64)) |
#s(literal -3/8 binary64) |
(*.f64 b (*.f64 b b)) |
(*.f64 b b) |
(/.f64 #s(literal -1/2 binary64) b) |
#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 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) |
(neg.f64 b) |
b |
(sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) |
(fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) |
(*.f64 a (*.f64 #s(literal -3 binary64) c)) |
a |
(*.f64 #s(literal -3 binary64) c) |
#s(literal -3 binary64) |
c |
(*.f64 #s(literal 3 binary64) 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))))) |
(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)))) |
c |
(/.f64 #s(literal -1/2 binary64) b) |
#s(literal -1/2 binary64) |
b |
(/.f64 (*.f64 (*.f64 a (*.f64 c c)) #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b))) |
(*.f64 (*.f64 a (*.f64 c c)) #s(literal -3/8 binary64)) |
(*.f64 a (*.f64 c c)) |
a |
(*.f64 c c) |
#s(literal -3/8 binary64) |
(*.f64 b (*.f64 b b)) |
(*.f64 b b) |
(/.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)) |
(-.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 (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 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) |
b |
(+.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 (*.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) |
#s(literal 3 binary64) |
| Outputs |
|---|
#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 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (fma.f64 c (fma.f64 c (fma.f64 (*.f64 a a) (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 c #s(literal -135/128 binary64))) (*.f64 a (pow.f64 b #s(literal 7 binary64))))) (/.f64 (*.f64 a #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1/2 binary64) 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))) |
(*.f64 c (fma.f64 c (fma.f64 c (fma.f64 (*.f64 a a) (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 c #s(literal -135/128 binary64))) (*.f64 a (pow.f64 b #s(literal 7 binary64))))) (/.f64 (*.f64 a #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1/2 binary64) b))) |
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)) |
(fma.f64 c (fma.f64 c (fma.f64 (*.f64 a a) (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 c #s(literal -135/128 binary64))) (*.f64 a (pow.f64 b #s(literal 7 binary64))))) (/.f64 (*.f64 a #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1/2 binary64) b)) |
(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)))) |
(fma.f64 c (fma.f64 (*.f64 a a) (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 c #s(literal -135/128 binary64))) (*.f64 a (pow.f64 b #s(literal 7 binary64))))) (/.f64 (*.f64 a #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))) |
(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)))) |
(fma.f64 (*.f64 a a) (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 c #s(literal -135/128 binary64))) (*.f64 a (pow.f64 b #s(literal 7 binary64))))) |
#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 c (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 405/64 binary64))) (*.f64 a (pow.f64 b #s(literal 7 binary64)))) |
(*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) c)) |
(/.f64 (*.f64 c (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 405/64 binary64))) (pow.f64 b #s(literal 6 binary64))) |
(/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) |
(pow.f64 a #s(literal 4 binary64)) |
a |
#s(literal 4 binary64) |
(pow.f64 b #s(literal 6 binary64)) |
b |
#s(literal 6 binary64) |
(*.f64 #s(literal 405/64 binary64) c) |
(*.f64 c #s(literal 405/64 binary64)) |
#s(literal 405/64 binary64) |
(*.f64 a b) |
(*.f64 b a) |
(/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64))) |
(/.f64 (*.f64 a (*.f64 a #s(literal -9/16 binary64))) (pow.f64 b #s(literal 5 binary64))) |
(*.f64 (*.f64 a a) #s(literal -9/16 binary64)) |
(*.f64 a (*.f64 a #s(literal -9/16 binary64))) |
(*.f64 a a) |
#s(literal -9/16 binary64) |
(pow.f64 b #s(literal 5 binary64)) |
#s(literal 5 binary64) |
(/.f64 (*.f64 a #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b))) |
(*.f64 a #s(literal -3/8 binary64)) |
#s(literal -3/8 binary64) |
(*.f64 b (*.f64 b b)) |
(*.f64 b b) |
(/.f64 #s(literal -1/2 binary64) b) |
#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 (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 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) |
(-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) |
(neg.f64 b) |
b |
(sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) |
(sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))) |
(fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) |
(fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64)))) |
(*.f64 a (*.f64 #s(literal -3 binary64) c)) |
(*.f64 a (*.f64 c #s(literal -3 binary64))) |
a |
(*.f64 #s(literal -3 binary64) c) |
(*.f64 c #s(literal -3 binary64)) |
#s(literal -3 binary64) |
c |
(*.f64 #s(literal 3 binary64) 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 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) (fma.f64 a (*.f64 c (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) #s(literal -1/2 binary64)))) |
(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)))) |
(*.f64 (/.f64 c b) (fma.f64 a (*.f64 c (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) #s(literal -1/2 binary64))) |
c |
(/.f64 #s(literal -1/2 binary64) b) |
#s(literal -1/2 binary64) |
b |
(/.f64 (*.f64 (*.f64 a (*.f64 c c)) #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b))) |
(/.f64 (*.f64 a (*.f64 c (*.f64 c #s(literal -3/8 binary64)))) (*.f64 b (*.f64 b b))) |
(*.f64 (*.f64 a (*.f64 c c)) #s(literal -3/8 binary64)) |
(*.f64 a (*.f64 c (*.f64 c #s(literal -3/8 binary64)))) |
(*.f64 a (*.f64 c c)) |
a |
(*.f64 c c) |
#s(literal -3/8 binary64) |
(*.f64 b (*.f64 b b)) |
(*.f64 b b) |
(/.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)) |
(/.f64 c (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))))) |
(-.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 a (*.f64 c #s(literal -3 binary64))) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))))) |
(/.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 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64)))) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))))) |
(fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) |
(fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64)))) |
a |
(*.f64 #s(literal -3 binary64) c) |
(*.f64 c #s(literal -3 binary64)) |
#s(literal -3 binary64) |
c |
(*.f64 b b) |
b |
(+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) |
(+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64)))))) |
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) |
(sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))) |
(/.f64 (*.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 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))))) |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) |
| ✓ | accuracy | 99.7% | (/.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))))) |
| ✓ | accuracy | 99.4% | (/.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)) |
| ✓ | accuracy | 18.3% | (-.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)))))) |
| ✓ | accuracy | 99.6% | (*.f64 (*.f64 a (*.f64 c c)) #s(literal -3/8 binary64)) |
| ✓ | accuracy | 99.6% | (*.f64 b (*.f64 b b)) |
| ✓ | accuracy | 99.5% | (/.f64 (*.f64 (*.f64 a (*.f64 c c)) #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b))) |
| ✓ | accuracy | 95.8% | #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))))) |
| ✓ | accuracy | 99.9% | (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) |
| ✓ | accuracy | 99.6% | (*.f64 a (*.f64 #s(literal -3 binary64) c)) |
| ✓ | accuracy | 99.4% | (/.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)) |
| ✓ | accuracy | 18.3% | (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) |
| ✓ | accuracy | 100.0% | (/.f64 c b) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
| ✓ | accuracy | 90.3% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
| ✓ | accuracy | 99.4% | (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) c)) |
| ✓ | accuracy | 99.4% | (/.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)) |
| ✓ | accuracy | 99.4% | (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64))) |
| ✓ | accuracy | 98.3% | #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)))) |
| 192.0ms | 209× | 1 | valid |
| 20.0ms | 47× | 0 | valid |
Compiled 616 to 66 computations (89.3% saved)
ival-mult: 35.0ms (24.4% of total)ival-div: 32.0ms (22.3% of total)ival-add: 27.0ms (18.8% of total)adjust: 19.0ms (13.3% of total)ival-sqrt: 10.0ms (7% of total)ival-pow: 10.0ms (7% of total)ival-sub: 4.0ms (2.8% of total)const: 4.0ms (2.8% 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 (/.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)) (patch (/.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)) #<representation binary64>) () ()) |
#s(alt (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)))) (patch (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)))) #<representation binary64>) () ()) |
#s(alt #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)))) (patch #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)))) #<representation binary64>) () ()) |
#s(alt (*.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))) (patch (*.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))) #<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 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) #<representation binary64>) () ()) |
#s(alt (/.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)) (patch (/.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)) #<representation binary64>) () ()) |
#s(alt (neg.f64 b) (patch (neg.f64 b) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (patch (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) #<representation binary64>) () ()) |
#s(alt (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)))) (patch (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)))) #<representation binary64>) () ()) |
#s(alt #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))))) (patch #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))))) #<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 a (*.f64 c c)) #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b))) (patch (/.f64 (*.f64 (*.f64 a (*.f64 c c)) #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b))) #<representation binary64>) () ()) |
#s(alt (-.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)))))) (patch (-.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)))))) #<representation binary64>) () ()) |
#s(alt (/.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)) (patch (/.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)) #<representation binary64>) () ()) |
#s(alt (/.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))))) (patch (/.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))))) #<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 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64))) (patch (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) c)) (patch (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) c)) #<representation binary64>) () ()) |
#s(alt (*.f64 a (*.f64 #s(literal -3 binary64) c)) (patch (*.f64 a (*.f64 #s(literal -3 binary64) c)) #<representation binary64>) () ()) |
#s(alt (*.f64 b (*.f64 b b)) (patch (*.f64 b (*.f64 b b)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 a (*.f64 c c)) #s(literal -3/8 binary64)) (patch (*.f64 (*.f64 a (*.f64 c c)) #s(literal -3/8 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (patch (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 405/64 (/ (* (pow a 3) c) (pow b 7))) (taylor 0 a) (#s(alt (/.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)) (patch (/.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)) #<representation binary64>) () ())) ()) |
#s(alt (* 405/64 (/ (* (pow a 3) c) (pow b 7))) (taylor 0 a) (#s(alt (/.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)) (patch (/.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)) #<representation binary64>) () ())) ()) |
#s(alt (* 405/64 (/ (* (pow a 3) c) (pow b 7))) (taylor 0 a) (#s(alt (/.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)) (patch (/.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)) #<representation binary64>) () ())) ()) |
#s(alt (* 405/64 (/ (* (pow a 3) c) (pow b 7))) (taylor 0 a) (#s(alt (/.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)) (patch (/.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)) #<representation binary64>) () ())) ()) |
#s(alt (* 405/64 (/ (* (pow a 3) c) (pow b 7))) (taylor inf a) (#s(alt (/.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)) (patch (/.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)) #<representation binary64>) () ())) ()) |
#s(alt (* 405/64 (/ (* (pow a 3) c) (pow b 7))) (taylor inf a) (#s(alt (/.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)) (patch (/.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)) #<representation binary64>) () ())) ()) |
#s(alt (* 405/64 (/ (* (pow a 3) c) (pow b 7))) (taylor inf a) (#s(alt (/.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)) (patch (/.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)) #<representation binary64>) () ())) ()) |
#s(alt (* 405/64 (/ (* (pow a 3) c) (pow b 7))) (taylor inf a) (#s(alt (/.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)) (patch (/.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)) #<representation binary64>) () ())) ()) |
#s(alt (* 405/64 (/ (* (pow a 3) c) (pow b 7))) (taylor -inf a) (#s(alt (/.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)) (patch (/.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)) #<representation binary64>) () ())) ()) |
#s(alt (* 405/64 (/ (* (pow a 3) c) (pow b 7))) (taylor -inf a) (#s(alt (/.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)) (patch (/.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)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* (pow b 3) (- (* 1/2 (/ 1 (pow b 2))) (* 2/3 (/ 1 (* a c)))))) (taylor -inf b) (#s(alt (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (patch (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow b 3) (- (+ (* -1 (/ (+ (* -3/4 (* a c)) (* 3/8 (* a c))) (pow b 4))) (* 1/2 (/ 1 (pow b 2)))) (* 2/3 (/ 1 (* a c)))))) (taylor -inf b) (#s(alt (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (patch (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow b 3) (- (+ (* -1 (/ (+ (* -3/4 (* a (* c (+ (* -3/4 (* a c)) (* 3/8 (* a c)))))) (+ (* -2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (pow c 2)))) (* 9/16 (* (pow a 2) (pow c 2))))) (pow b 6))) (* 1/2 (/ 1 (pow b 2)))) (+ (* -3/4 (/ (* a c) (pow b 4))) (+ (* 3/8 (/ (* a c) (pow b 4))) (* 2/3 (/ 1 (* a c)))))))) (taylor -inf b) (#s(alt (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (patch (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 b) (taylor 0 a) (#s(alt (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (patch (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3/8 (/ (* a c) b)) (* 1/2 b)) (taylor 0 a) (#s(alt (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (patch (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 b) (* a (- (* 9/16 (/ (* a (pow c 2)) (pow b 3))) (* -3/8 (/ c b))))) (taylor 0 a) (#s(alt (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (patch (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 b) (* a (- (* a (- (* -1 (* a (+ (* -27/32 (/ (pow c 3) (pow b 5))) (* -27/128 (/ (pow c 3) (pow b 5)))))) (* -9/16 (/ (pow c 2) (pow b 3))))) (* -3/8 (/ c b))))) (taylor 0 a) (#s(alt (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (patch (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3))) (taylor inf a) (#s(alt (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (patch (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (/ (pow b 3) (* c (pow (sqrt -3) 2)))) (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -3)))) a) (taylor inf a) (#s(alt (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (patch (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -3) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -3)))) (/ (pow b 3) (* c (pow (sqrt -3) 2)))) a) (taylor inf a) (#s(alt (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (patch (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -3) 3)))))) (sqrt -3)))) (* -1/2 (/ (* (pow a 2) (pow b 5)) (* (pow c 2) (pow (sqrt -3) 4))))) (pow a 3))) (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (/ (pow b 3) (* c (pow (sqrt -3) 2)))))) a) (taylor inf a) (#s(alt (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (patch (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (taylor -inf a) (#s(alt (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (patch (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ (pow b 3) (* c (pow (sqrt 3) 2)))) (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) a)) (taylor -inf a) (#s(alt (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (patch (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) (* -1 (/ (* a (pow b 3)) (* c (pow (sqrt 3) 2))))) a)) (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) a)) (taylor -inf a) (#s(alt (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (patch (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* a (pow b 5)) (* (pow c 2) (pow (sqrt 3) 4))))) (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))))) a)) (* -1 (/ (* a (pow b 3)) (* c (pow (sqrt 3) 2))))) a)) (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) a)) (taylor -inf a) (#s(alt (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (patch (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 b) (taylor 0 c) (#s(alt (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (patch (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3/8 (/ (* a c) b)) (* 1/2 b)) (taylor 0 c) (#s(alt (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (patch (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 b) (* c (- (* 9/16 (/ (* (pow a 2) c) (pow b 3))) (* -3/8 (/ a b))))) (taylor 0 c) (#s(alt (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (patch (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 b) (* c (- (* c (- (* -1 (* c (+ (* -27/32 (/ (pow a 3) (pow b 5))) (* -27/128 (/ (pow a 3) (pow b 5)))))) (* -9/16 (/ (pow a 2) (pow b 3))))) (* -3/8 (/ a b))))) (taylor 0 c) (#s(alt (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (patch (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3))) (taylor inf c) (#s(alt (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (patch (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (/ (pow b 3) (* a (pow (sqrt -3) 2)))) (* (sqrt (/ c a)) (/ (pow b 2) (sqrt -3)))) c) (taylor inf c) (#s(alt (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (patch (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 4) (pow (sqrt -3) 3))))) (pow c 2))) (* (sqrt (/ c a)) (/ (pow b 2) (sqrt -3)))) (/ (pow b 3) (* a (pow (sqrt -3) 2)))) c) (taylor inf c) (#s(alt (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (patch (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 4) (pow (sqrt -3) 3)))))) (sqrt -3)))) (* -1/2 (/ (* (pow b 5) (pow c 2)) (* (pow a 2) (pow (sqrt -3) 4))))) (pow c 3))) (* (sqrt (/ c a)) (/ (pow b 2) (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 4) (pow (sqrt -3) 3)))) (/ (pow b 3) (* a (pow (sqrt -3) 2)))))) c) (taylor inf c) (#s(alt (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (patch (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (taylor -inf c) (#s(alt (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (patch (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ (pow b 3) (* a (pow (sqrt 3) 2)))) (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) c)) (taylor -inf c) (#s(alt (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (patch (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) (* -1 (/ (* (pow b 3) c) (* a (pow (sqrt 3) 2))))) c)) (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) c)) (taylor -inf c) (#s(alt (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (patch (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow b 5) c) (* (pow a 2) (pow (sqrt 3) 4))))) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))))) c)) (* -1 (/ (* (pow b 3) c) (* a (pow (sqrt 3) 2))))) c)) (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) c)) (taylor -inf c) (#s(alt (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (patch (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #<representation binary64>) () ())) ()) |
192 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | c | @ | 0 | (* c (+ (* c (+ (* c (+ (* -1/6 (/ (* (/ (pow a 4) (pow b 6)) (* 405/64 c)) (* a b))) (/ (* (* a a) -9/16) (pow b 5)))) (/ (* a -3/8) (* b (* b b))))) (/ -1/2 b))) |
| 5.0ms | a | @ | 0 | (+ (* c (/ -1/2 b)) (/ (* (* a (* c c)) -3/8) (* b (* b b)))) |
| 4.0ms | c | @ | inf | (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) |
| 4.0ms | b | @ | 0 | (/ (* (/ (pow a 4) (pow b 6)) (* 405/64 c)) (* a b)) |
| 2.0ms | c | @ | 0 | (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) |
| 1× | egg-herbie |
| 7 722× | lower-*.f64 |
| 7 722× | lower-*.f32 |
| 6 054× | lower-fma.f64 |
| 6 054× | lower-fma.f32 |
| 3 090× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1706 | 16956 |
| 1 | 5735 | 16440 |
| 0 | 8189 | 15879 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
(* -9/16 (/ (pow a 2) (pow b 5))) |
(* (pow a 2) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5))))) |
(* (pow a 2) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5))))) |
(* (pow a 2) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5))))) |
(* -135/128 (/ (* (pow a 3) c) (pow b 7))) |
(* (pow a 3) (- (* -135/128 (/ c (pow b 7))) (* 9/16 (/ 1 (* a (pow b 5)))))) |
(* (pow a 3) (- (* -135/128 (/ c (pow b 7))) (* 9/16 (/ 1 (* a (pow b 5)))))) |
(* (pow a 3) (- (* -135/128 (/ c (pow b 7))) (* 9/16 (/ 1 (* a (pow b 5)))))) |
(* -135/128 (/ (* (pow a 3) c) (pow b 7))) |
(* -1 (* (pow a 3) (+ (* 135/128 (/ c (pow b 7))) (* 9/16 (/ 1 (* a (pow b 5))))))) |
(* -1 (* (pow a 3) (+ (* 135/128 (/ c (pow b 7))) (* 9/16 (/ 1 (* a (pow b 5))))))) |
(* -1 (* (pow a 3) (+ (* 135/128 (/ c (pow b 7))) (* 9/16 (/ 1 (* a (pow b 5))))))) |
(* -135/128 (/ (* (pow a 3) c) (pow b 7))) |
(/ (+ (* -135/128 (* (pow a 3) c)) (* -9/16 (* (pow a 2) (pow b 2)))) (pow b 7)) |
(/ (+ (* -135/128 (* (pow a 3) c)) (* -9/16 (* (pow a 2) (pow b 2)))) (pow b 7)) |
(/ (+ (* -135/128 (* (pow a 3) c)) (* -9/16 (* (pow a 2) (pow b 2)))) (pow b 7)) |
(* -9/16 (/ (pow a 2) (pow b 5))) |
(/ (+ (* -135/128 (/ (* (pow a 3) c) (pow b 2))) (* -9/16 (pow a 2))) (pow b 5)) |
(/ (+ (* -135/128 (/ (* (pow a 3) c) (pow b 2))) (* -9/16 (pow a 2))) (pow b 5)) |
(/ (+ (* -135/128 (/ (* (pow a 3) c) (pow b 2))) (* -9/16 (pow a 2))) (pow b 5)) |
(* -9/16 (/ (pow a 2) (pow b 5))) |
(* -1 (/ (+ (* 9/16 (pow a 2)) (* 135/128 (/ (* (pow a 3) c) (pow b 2)))) (pow b 5))) |
(* -1 (/ (+ (* 9/16 (pow a 2)) (* 135/128 (/ (* (pow a 3) c) (pow b 2)))) (pow b 5))) |
(* -1 (/ (+ (* 9/16 (pow a 2)) (* 135/128 (/ (* (pow a 3) c) (pow b 2)))) (pow b 5))) |
(* -9/16 (/ (pow a 2) (pow b 5))) |
(+ (* -135/128 (/ (* (pow a 3) c) (pow b 7))) (* -9/16 (/ (pow a 2) (pow b 5)))) |
(+ (* -135/128 (/ (* (pow a 3) c) (pow b 7))) (* -9/16 (/ (pow a 2) (pow b 5)))) |
(+ (* -135/128 (/ (* (pow a 3) c) (pow b 7))) (* -9/16 (/ (pow a 2) (pow b 5)))) |
(* -135/128 (/ (* (pow a 3) c) (pow b 7))) |
(* c (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -9/16 (/ (pow a 2) (* (pow b 5) c))))) |
(* c (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -9/16 (/ (pow a 2) (* (pow b 5) c))))) |
(* c (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -9/16 (/ (pow a 2) (* (pow b 5) c))))) |
(* -135/128 (/ (* (pow a 3) c) (pow b 7))) |
(* -1 (* c (+ (* 9/16 (/ (pow a 2) (* (pow b 5) c))) (* 135/128 (/ (pow a 3) (pow b 7)))))) |
(* -1 (* c (+ (* 9/16 (/ (pow a 2) (* (pow b 5) c))) (* 135/128 (/ (pow a 3) (pow b 7)))))) |
(* -1 (* c (+ (* 9/16 (/ (pow a 2) (* (pow b 5) c))) (* 135/128 (/ (pow a 3) (pow b 7)))))) |
(* 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)) |
(* 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 (+ (* -135/128 (/ (* (pow a 3) c) (pow b 7))) (* -9/16 (/ (pow a 2) (pow b 5))))))) (* 1/2 (/ 1 b)))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -9/16 (/ (pow a 2) (* (pow b 5) c))))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (+ (* -9/16 (/ (pow a 2) (* (pow b 5) c))) (* -3/8 (/ a (* (pow b 3) (pow c 2))))))) |
(* (pow c 4) (- (+ (* -135/128 (/ (pow a 3) (pow b 7))) (+ (* -9/16 (/ (pow a 2) (* (pow b 5) c))) (* -3/8 (/ a (* (pow b 3) (pow c 2)))))) (* 1/2 (/ 1 (* b (pow c 3)))))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -9/16 (/ (pow a 2) (* (pow b 5) c))))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -1 (/ (+ (* 3/8 (/ a (* (pow b 3) c))) (* 9/16 (/ (pow a 2) (pow b 5)))) c)))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -1 (/ (+ (* -1 (/ (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* 9/16 (/ (pow a 2) (pow b 5)))) c)))) |
(* -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 (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))))))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 5)))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 3))))))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 5)))) (+ (* -1/2 (/ c (* (pow a 3) b))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 3)))))))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7))) |
(* -1 (* (pow a 3) (+ (* 9/16 (/ (pow c 3) (* a (pow b 5)))) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -3/8 (/ (pow c 2) (* a (pow b 3))))) a)) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5)))) a)) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7))) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* -9/16 (* (pow a 2) (* (pow b 2) (pow c 3))))) (pow b 7)) |
(/ (+ (* -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 7)) |
(/ (+ (* -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 7)) |
(* -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) |
(/ (+ (* -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)))))) b) |
(* -1/2 (/ c b)) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b)) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 1/2 c) (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b)) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 1/2 c) (+ (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (* 135/128 (/ (* (pow a 3) (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 (* (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) |
(* (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) |
(* (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)))))))) |
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)))))))) |
(* -1/2 (/ c b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3)) |
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3)) |
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3)) |
(* -1/2 (/ c b)) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(* -1/2 (/ c b)) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b)) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b)) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b)) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3))))) |
(* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3))))) |
(* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3))))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))))) |
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))))) |
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a 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))))))) |
(/ -1/2 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) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(* -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))) (* 3 (* a (+ (* -27/32 (/ (pow c 4) (pow b 7))) (* -27/128 (/ (pow c 4) (pow b 7)))))))))))) |
(* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) |
(+ (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (* 3 (/ b (pow (sqrt -3) 2)))) |
(+ (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* 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)))) (+ (* 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)) (/ (sqrt -1) (sqrt 3)))) |
(+ (* -3 (/ b (pow (sqrt 3) 2))) (* 3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3))))) |
(+ (* -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))))) |
(+ (* -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))))) |
(* -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))) (* 3 (* c (+ (* -27/32 (/ (pow a 4) (pow b 7))) (* -27/128 (/ (pow a 4) (pow b 7)))))))))))) |
(* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) |
(+ (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (* 3 (/ b (pow (sqrt -3) 2)))) |
(+ (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* 3 (/ b (pow (sqrt -3) 2))) (* 3 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow c 2))))) |
(+ (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* 3 (/ b (pow (sqrt -3) 2))) (+ (* 3 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (* -1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -3) 4))))) (pow c 3))) (* 3 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow c 2)))))) |
(* 3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) |
(+ (* -3 (/ b (pow (sqrt 3) 2))) (* 3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* 3 (/ (* b c) (pow (sqrt 3) 2))) (* 3 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) c))) c)) (* 3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -3 (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) (* 3 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt 3) 4))))) c))) c)) (* 3 (/ (* b c) (pow (sqrt 3) 2)))) c)) (* 3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3))))) |
(* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) |
(+ (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (* 3 (/ b (pow (sqrt -3) 2)))) |
(+ (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (* b (+ (* 3 (* b (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -3) 3))))))) (* 3 (/ 1 (pow (sqrt -3) 2)))))) |
(+ (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (* b (+ (* b (+ (* -3 (* b (- (* 1/2 (/ 1 (* a (* c (pow (sqrt -3) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -3) 3))))) (sqrt -3))))))) (* 3 (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -3) 3)))))))) (* 3 (/ 1 (pow (sqrt -3) 2)))))) |
(* -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))) (* 3 (/ (+ (* -27/32 (* (pow a 4) (pow c 4))) (* -27/128 (* (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))) (* 3 (/ (+ (* -3/4 (* (pow a 2) (pow c 2))) (* 3/8 (* (pow a 2) (pow c 2)))) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (+ (* 3 (/ (+ (* -3/4 (* a (* c (+ (* -3/4 (* (pow a 2) (pow c 2))) (* 3/8 (* (pow a 2) (pow c 2))))))) (+ (* -2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a c))) (* 9/16 (* (pow a 3) (pow c 3))))) (pow b 6))) (* 3 (/ (+ (* -3/4 (* (pow a 2) (pow c 2))) (* 3/8 (* (pow a 2) (pow c 2)))) (pow b 4)))))))) |
(* -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)))) |
(* -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 b) |
(+ (* 1/2 b) (* a (- (* -3/2 (/ c b)) (* -3/8 (/ c b))))) |
(+ (* 1/2 b) (* a (- (+ (* -3/2 (/ c b)) (* -1 (* a (+ (* -3/4 (/ (* c (- (* -3/2 (/ c b)) (* -3/8 (/ c b)))) (pow b 2))) (* -9/32 (/ (pow c 2) (pow b 3))))))) (* -3/8 (/ c b))))) |
(+ (* 1/2 b) (* a (- (+ (* -3/2 (/ c b)) (* a (- (* -1 (* a (+ (* -9/16 (/ (* (pow c 2) (- (* -3/2 (/ c b)) (* -3/8 (/ c b)))) (pow b 4))) (+ (* -27/64 (/ (pow c 3) (pow b 5))) (* 3/4 (/ (* c (+ (* -3/4 (/ (* c (- (* -3/2 (/ c b)) (* -3/8 (/ c b)))) (pow b 2))) (* -9/32 (/ (pow c 2) (pow b 3))))) (pow b 2))))))) (+ (* -3/4 (/ (* c (- (* -3/2 (/ c b)) (* -3/8 (/ c b)))) (pow b 2))) (* -9/32 (/ (pow c 2) (pow b 3))))))) (* -3/8 (/ c b))))) |
(* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) |
(- (+ (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* -3 (/ b (pow (sqrt -3) 2)))) |
(- (+ (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (/ (+ (* -3/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ a c)) (/ (* b (- (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -3))) (* -3 (/ (* a b) (pow (sqrt -3) 2))))) (sqrt -3)))) (pow a 2))) (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3))))) (* -3 (/ b (pow (sqrt -3) 2)))) |
(- (+ (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -3/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ a c)) (/ (* b (- (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -3))) (* -3 (/ (* a b) (pow (sqrt -3) 2))))) (sqrt -3))))) (sqrt -3)))) (* 1/2 (/ (* a (* (pow b 2) (- (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -3))) (* -3 (/ (* a b) (pow (sqrt -3) 2)))))) (* c (pow (sqrt -3) 2))))) (pow a 3))) (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3))))) (+ (* -3 (/ b (pow (sqrt -3) 2))) (+ (* -3/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* b (- (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -3))) (* -3 (/ (* a b) (pow (sqrt -3) 2))))) (sqrt -3)))))) |
(* 3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) |
(+ (* -1 (/ (- (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))) (* -3 (/ (* a b) (pow (sqrt 3) 2)))) a)) (* 3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (- (+ (* 3/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (- (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))) (* -3 (/ (* a b) (pow (sqrt 3) 2)))))) (sqrt 3))) (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) (* -3 (/ (* a b) (pow (sqrt 3) 2)))) a)) (* 3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* 3/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ a c)) (/ (* b (* (sqrt -1) (- (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))) (* -3 (/ (* a b) (pow (sqrt 3) 2)))))) (sqrt 3)))))) (sqrt 3)))) (* -1/2 (/ (* (pow b 2) (- (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))) (* -3 (/ (* a b) (pow (sqrt 3) 2))))) (* c (pow (sqrt 3) 2))))) (+ (* 3/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ a c)) (/ (* b (* (sqrt -1) (- (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))) (* -3 (/ (* a b) (pow (sqrt 3) 2)))))) (sqrt 3))))) a)) (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* -3 (/ (* a b) (pow (sqrt 3) 2)))) a)) (* 3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3))))) |
(* 1/2 b) |
(+ (* 1/2 b) (* c (- (* -3/2 (/ a b)) (* -3/8 (/ a b))))) |
(+ (* 1/2 b) (* c (- (+ (* -3/2 (/ a b)) (* -1 (* c (+ (* -3/4 (/ (* a (- (* -3/2 (/ a b)) (* -3/8 (/ a b)))) (pow b 2))) (* -9/32 (/ (pow a 2) (pow b 3))))))) (* -3/8 (/ a b))))) |
(+ (* 1/2 b) (* c (- (+ (* -3/2 (/ a b)) (* c (- (* -1 (* c (+ (* -9/16 (/ (* (pow a 2) (- (* -3/2 (/ a b)) (* -3/8 (/ a b)))) (pow b 4))) (+ (* -27/64 (/ (pow a 3) (pow b 5))) (* 3/4 (/ (* a (+ (* -3/4 (/ (* a (- (* -3/2 (/ a b)) (* -3/8 (/ a b)))) (pow b 2))) (* -9/32 (/ (pow a 2) (pow b 3))))) (pow b 2))))))) (+ (* -3/4 (/ (* a (- (* -3/2 (/ a b)) (* -3/8 (/ a b)))) (pow b 2))) (* -9/32 (/ (pow a 2) (pow b 3))))))) (* -3/8 (/ a b))))) |
(* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) |
(- (+ (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* -3 (/ b (pow (sqrt -3) 2)))) |
(- (+ (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (/ (+ (* -3/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ c a)) (/ (* b (- (* (sqrt (/ c a)) (/ (pow b 2) (sqrt -3))) (* -3 (/ (* b c) (pow (sqrt -3) 2))))) (sqrt -3)))) (pow c 2))) (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3))))) (* -3 (/ b (pow (sqrt -3) 2)))) |
(- (+ (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -3/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ c a)) (/ (* b (- (* (sqrt (/ c a)) (/ (pow b 2) (sqrt -3))) (* -3 (/ (* b c) (pow (sqrt -3) 2))))) (sqrt -3))))) (sqrt -3)))) (* 1/2 (/ (* (pow b 2) (* c (- (* (sqrt (/ c a)) (/ (pow b 2) (sqrt -3))) (* -3 (/ (* b c) (pow (sqrt -3) 2)))))) (* a (pow (sqrt -3) 2))))) (pow c 3))) (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3))))) (+ (* -3 (/ b (pow (sqrt -3) 2))) (+ (* -3/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* b (- (* (sqrt (/ c a)) (/ (pow b 2) (sqrt -3))) (* -3 (/ (* b c) (pow (sqrt -3) 2))))) (sqrt -3)))))) |
(* 3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) |
(+ (* -1 (/ (- (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))) (* -3 (/ (* b c) (pow (sqrt 3) 2)))) c)) (* 3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (- (+ (* 3/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (- (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))) (* -3 (/ (* b c) (pow (sqrt 3) 2)))))) (sqrt 3))) (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) (* -3 (/ (* b c) (pow (sqrt 3) 2)))) c)) (* 3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* 3/2 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ c a)) (/ (* b (* (sqrt -1) (- (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))) (* -3 (/ (* b c) (pow (sqrt 3) 2)))))) (sqrt 3)))))) (sqrt 3)))) (* -1/2 (/ (* (pow b 2) (- (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))) (* -3 (/ (* b c) (pow (sqrt 3) 2))))) (* a (pow (sqrt 3) 2))))) (+ (* 3/2 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ c a)) (/ (* b (* (sqrt -1) (- (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))) (* -3 (/ (* b c) (pow (sqrt 3) 2)))))) (sqrt 3))))) c)) (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* -3 (/ (* b c) (pow (sqrt 3) 2)))) c)) (* 3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3))))) |
(* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) |
(+ (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (* 3 (/ b (pow (sqrt -3) 2)))) |
(+ (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (* b (+ (* b (- (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))) (+ (* -3/2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -3) 3)))) (* 3 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -3) 3))))))) (* 3 (/ 1 (pow (sqrt -3) 2)))))) |
(+ (* -3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (* b (+ (* b (- (+ (* -1 (* b (+ (* 3/2 (/ 1 (* a (* c (pow (sqrt -3) 4))))) (* (sqrt (/ 1 (* a c))) (/ (- (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))) (+ (* -3/2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -3) 3)))) (* 3 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -3) 3)))))) (sqrt -3)))))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (+ (* -3/2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -3) 3)))) (* 3 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -3) 3))))))) (* 3 (/ 1 (pow (sqrt -3) 2)))))) |
(* 1/2 b) |
(* b (- (+ 1/2 (* -3/2 (/ (* a c) (pow b 2)))) (* -3/8 (/ (* a c) (pow b 2))))) |
(* b (- (+ 1/2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -1 (/ (+ (* -3/4 (* a (* c (- (* -3/2 (* a c)) (* -3/8 (* a c)))))) (* -9/32 (* (pow a 2) (pow c 2)))) (pow b 4))))) (* -3/8 (/ (* a c) (pow b 2))))) |
(* b (- (+ 1/2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -1 (/ (+ (* -9/16 (* (pow a 2) (* (pow c 2) (- (* -3/2 (* a c)) (* -3/8 (* a c)))))) (+ (* -27/64 (* (pow a 3) (pow c 3))) (* 3/4 (* a (* c (+ (* -3/4 (* a (* c (- (* -3/2 (* a c)) (* -3/8 (* a c)))))) (* -9/32 (* (pow a 2) (pow c 2))))))))) (pow b 6))))) (+ (* -3/4 (/ (* a (* c (- (* -3/2 (* a c)) (* -3/8 (* a c))))) (pow b 4))) (+ (* -3/8 (/ (* a c) (pow b 2))) (* -9/32 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* 2/3 (/ (pow b 3) (* a c))) |
(* -1 (* (pow b 3) (- (* 5/2 (/ 1 (pow b 2))) (* 2/3 (/ 1 (* a c)))))) |
(* -1 (* (pow b 3) (- (+ (* -1 (/ (+ (* -3/4 (* a c)) (* 15/8 (* a c))) (pow b 4))) (* 5/2 (/ 1 (pow b 2)))) (* 2/3 (/ 1 (* a c)))))) |
(* -1 (* (pow b 3) (- (+ (* -1 (/ (+ (* -3/4 (* a (* c (+ (* -3/4 (* a c)) (* 15/8 (* a c)))))) (+ (* -2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (pow c 2)))) (* 45/16 (* (pow a 2) (pow c 2))))) (pow b 6))) (* 5/2 (/ 1 (pow b 2)))) (+ (* -3/4 (/ (* a c) (pow b 4))) (+ (* 15/8 (/ (* a c) (pow b 4))) (* 2/3 (/ 1 (* a 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)) |
(* 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))))) |
(* -9/16 (/ (pow a 2) (pow b 5))) |
(* -9/16 (/ (pow a 2) (pow b 5))) |
(* -9/16 (/ (pow a 2) (pow b 5))) |
(* -9/16 (/ (pow a 2) (pow b 5))) |
(* -9/16 (/ (pow a 2) (pow b 5))) |
(* -9/16 (/ (pow a 2) (pow b 5))) |
(* -9/16 (/ (pow a 2) (pow b 5))) |
(* -9/16 (/ (pow a 2) (pow b 5))) |
(* -9/16 (/ (pow a 2) (pow b 5))) |
(* -9/16 (/ (pow a 2) (pow b 5))) |
(* -9/16 (/ (pow a 2) (pow b 5))) |
(* -9/16 (/ (pow a 2) (pow b 5))) |
(* -9/16 (/ (pow a 2) (pow b 5))) |
(* -9/16 (/ (pow a 2) (pow b 5))) |
(* -9/16 (/ (pow a 2) (pow b 5))) |
(* -9/16 (/ (pow a 2) (pow b 5))) |
(* -9/16 (/ (pow a 2) (pow b 5))) |
(* -9/16 (/ (pow a 2) (pow b 5))) |
(* -9/16 (/ (pow a 2) (pow b 5))) |
(* -9/16 (/ (pow a 2) (pow b 5))) |
(* -9/16 (/ (pow a 2) (pow b 5))) |
(* -9/16 (/ (pow a 2) (pow b 5))) |
(* -9/16 (/ (pow a 2) (pow b 5))) |
(* -9/16 (/ (pow a 2) (pow b 5))) |
(* 405/64 (/ (* (pow a 4) c) (pow b 6))) |
(* 405/64 (/ (* (pow a 4) c) (pow b 6))) |
(* 405/64 (/ (* (pow a 4) c) (pow b 6))) |
(* 405/64 (/ (* (pow a 4) c) (pow b 6))) |
(* 405/64 (/ (* (pow a 4) c) (pow b 6))) |
(* 405/64 (/ (* (pow a 4) c) (pow b 6))) |
(* 405/64 (/ (* (pow a 4) c) (pow b 6))) |
(* 405/64 (/ (* (pow a 4) c) (pow b 6))) |
(* 405/64 (/ (* (pow a 4) c) (pow b 6))) |
(* 405/64 (/ (* (pow a 4) c) (pow b 6))) |
(* 405/64 (/ (* (pow a 4) c) (pow b 6))) |
(* 405/64 (/ (* (pow a 4) c) (pow b 6))) |
(* 405/64 (/ (* (pow a 4) c) (pow b 6))) |
(* 405/64 (/ (* (pow a 4) c) (pow b 6))) |
(* 405/64 (/ (* (pow a 4) c) (pow b 6))) |
(* 405/64 (/ (* (pow a 4) c) (pow b 6))) |
(* 405/64 (/ (* (pow a 4) c) (pow b 6))) |
(* 405/64 (/ (* (pow a 4) c) (pow b 6))) |
(* 405/64 (/ (* (pow a 4) c) (pow b 6))) |
(* 405/64 (/ (* (pow a 4) c) (pow b 6))) |
(* 405/64 (/ (* (pow a 4) c) (pow b 6))) |
(* 405/64 (/ (* (pow a 4) c) (pow b 6))) |
(* 405/64 (/ (* (pow a 4) c) (pow b 6))) |
(* 405/64 (/ (* (pow a 4) c) (pow b 6))) |
(* 405/64 (/ (* (pow a 4) c) (pow b 6))) |
(* 405/64 (/ (* (pow a 4) c) (pow b 6))) |
(* 405/64 (/ (* (pow a 4) c) (pow b 6))) |
(* 405/64 (/ (* (pow a 4) c) (pow b 6))) |
(* 405/64 (/ (* (pow a 4) c) (pow b 6))) |
(* 405/64 (/ (* (pow a 4) c) (pow b 6))) |
(* 405/64 (/ (* (pow a 4) c) (pow b 6))) |
(* 405/64 (/ (* (pow a 4) c) (pow b 6))) |
(* 405/64 (/ (* (pow a 4) c) (pow b 6))) |
(* 405/64 (/ (* (pow a 4) c) (pow b 6))) |
(* 405/64 (/ (* (pow a 4) c) (pow b 6))) |
(* 405/64 (/ (* (pow a 4) c) (pow b 6))) |
(* -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)) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(* -3/8 (* a (pow c 2))) |
(* -3/8 (* a (pow c 2))) |
(* -3/8 (* a (pow c 2))) |
(* -3/8 (* a (pow c 2))) |
(* -3/8 (* a (pow c 2))) |
(* -3/8 (* a (pow c 2))) |
(* -3/8 (* a (pow c 2))) |
(* -3/8 (* a (pow c 2))) |
(* -3/8 (* a (pow c 2))) |
(* -3/8 (* a (pow c 2))) |
(* -3/8 (* a (pow c 2))) |
(* -3/8 (* a (pow c 2))) |
(* -3/8 (* a (pow c 2))) |
(* -3/8 (* a (pow c 2))) |
(* -3/8 (* a (pow c 2))) |
(* -3/8 (* a (pow c 2))) |
(* -3/8 (* a (pow c 2))) |
(* -3/8 (* a (pow c 2))) |
(* -3/8 (* a (pow c 2))) |
(* -3/8 (* a (pow c 2))) |
(* -3/8 (* a (pow c 2))) |
(* -3/8 (* a (pow c 2))) |
(* -3/8 (* a (pow c 2))) |
(* -3/8 (* a (pow c 2))) |
(* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3))) |
(* (pow b 2) (+ (* -1 (/ b (* a (* c (pow (sqrt -3) 2))))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))) |
(* (pow b 2) (+ (* b (- (* -1 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))))) (/ 1 (* a (* c (pow (sqrt -3) 2)))))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))) |
(* (pow b 2) (+ (* b (- (* b (- (* b (- (* 1/2 (/ 1 (* (pow a 2) (* (pow c 2) (pow (sqrt -3) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))) (sqrt -3)))))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))))) (/ 1 (* a (* c (pow (sqrt -3) 2)))))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))) |
(* 1/2 b) |
(* b (+ 1/2 (* 3/8 (/ (* a c) (pow b 2))))) |
(* b (- (+ 1/2 (* 9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (* -3/8 (/ (* a c) (pow b 2))))) |
(* b (- (+ 1/2 (* -1 (/ (+ (* -27/32 (* (pow a 3) (pow c 3))) (* -27/128 (* (pow a 3) (pow c 3)))) (pow b 6)))) (+ (* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -3/8 (/ (* a c) (pow b 2)))))) |
(* 2/3 (/ (pow b 3) (* a c))) |
(* -1 (* (pow b 3) (- (* 1/2 (/ 1 (pow b 2))) (* 2/3 (/ 1 (* a c)))))) |
(* -1 (* (pow b 3) (- (+ (* -1 (/ (+ (* -3/4 (* a c)) (* 3/8 (* a c))) (pow b 4))) (* 1/2 (/ 1 (pow b 2)))) (* 2/3 (/ 1 (* a c)))))) |
(* -1 (* (pow b 3) (- (+ (* -1 (/ (+ (* -3/4 (* a (* c (+ (* -3/4 (* a c)) (* 3/8 (* a c)))))) (+ (* -2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (pow c 2)))) (* 9/16 (* (pow a 2) (pow c 2))))) (pow b 6))) (* 1/2 (/ 1 (pow b 2)))) (+ (* -3/4 (/ (* a c) (pow b 4))) (+ (* 3/8 (/ (* a c) (pow b 4))) (* 2/3 (/ 1 (* a c)))))))) |
(* 1/2 b) |
(+ (* 3/8 (/ (* a c) b)) (* 1/2 b)) |
(+ (* 1/2 b) (* a (- (* 9/16 (/ (* a (pow c 2)) (pow b 3))) (* -3/8 (/ c b))))) |
(+ (* 1/2 b) (* a (- (* a (- (* -1 (* a (+ (* -27/32 (/ (pow c 3) (pow b 5))) (* -27/128 (/ (pow c 3) (pow b 5)))))) (* -9/16 (/ (pow c 2) (pow b 3))))) (* -3/8 (/ c b))))) |
(* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3))) |
(/ (+ (* -1 (/ (pow b 3) (* c (pow (sqrt -3) 2)))) (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -3)))) a) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -3) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -3)))) (/ (pow b 3) (* c (pow (sqrt -3) 2)))) a) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -3) 3)))))) (sqrt -3)))) (* -1/2 (/ (* (pow a 2) (pow b 5)) (* (pow c 2) (pow (sqrt -3) 4))))) (pow a 3))) (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (/ (pow b 3) (* c (pow (sqrt -3) 2)))))) a) |
(* -1 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) |
(* -1 (/ (+ (* -1 (/ (pow b 3) (* c (pow (sqrt 3) 2)))) (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) a)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) (* -1 (/ (* a (pow b 3)) (* c (pow (sqrt 3) 2))))) a)) (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) a)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* a (pow b 5)) (* (pow c 2) (pow (sqrt 3) 4))))) (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))))) a)) (* -1 (/ (* a (pow b 3)) (* c (pow (sqrt 3) 2))))) a)) (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) a)) |
(* 1/2 b) |
(+ (* 3/8 (/ (* a c) b)) (* 1/2 b)) |
(+ (* 1/2 b) (* c (- (* 9/16 (/ (* (pow a 2) c) (pow b 3))) (* -3/8 (/ a b))))) |
(+ (* 1/2 b) (* c (- (* c (- (* -1 (* c (+ (* -27/32 (/ (pow a 3) (pow b 5))) (* -27/128 (/ (pow a 3) (pow b 5)))))) (* -9/16 (/ (pow a 2) (pow b 3))))) (* -3/8 (/ a b))))) |
(* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3))) |
(/ (+ (* -1 (/ (pow b 3) (* a (pow (sqrt -3) 2)))) (* (sqrt (/ c a)) (/ (pow b 2) (sqrt -3)))) c) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 4) (pow (sqrt -3) 3))))) (pow c 2))) (* (sqrt (/ c a)) (/ (pow b 2) (sqrt -3)))) (/ (pow b 3) (* a (pow (sqrt -3) 2)))) c) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 4) (pow (sqrt -3) 3)))))) (sqrt -3)))) (* -1/2 (/ (* (pow b 5) (pow c 2)) (* (pow a 2) (pow (sqrt -3) 4))))) (pow c 3))) (* (sqrt (/ c a)) (/ (pow b 2) (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 4) (pow (sqrt -3) 3)))) (/ (pow b 3) (* a (pow (sqrt -3) 2)))))) c) |
(* -1 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) |
(* -1 (/ (+ (* -1 (/ (pow b 3) (* a (pow (sqrt 3) 2)))) (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) c)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) (* -1 (/ (* (pow b 3) c) (* a (pow (sqrt 3) 2))))) c)) (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) c)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow b 5) c) (* (pow a 2) (pow (sqrt 3) 4))))) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))))) c)) (* -1 (/ (* (pow b 3) c) (* a (pow (sqrt 3) 2))))) c)) (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) c)) |
| Outputs |
|---|
(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64))) |
(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64))) |
(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64))) |
(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64))) |
(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64))) |
(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64))) |
(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64))) |
(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64))) |
(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64))) |
(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64))) |
(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64))) |
(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64))) |
(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64))) |
(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
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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 |
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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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(* -1/2 (/ c b)) |
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(* -1/2 (/ c b)) |
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(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 b b)) (sqrt.f64 #s(literal -3 binary64))) |
(/ (+ (* -1 (/ (pow b 3) (* a (pow (sqrt -3) 2)))) (* (sqrt (/ c a)) (/ (pow b 2) (sqrt -3)))) c) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 b (*.f64 b b)) a))) c) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 4) (pow (sqrt -3) 3))))) (pow c 2))) (* (sqrt (/ c a)) (/ (pow b 2) (sqrt -3)))) (/ (pow b 3) (* a (pow (sqrt -3) 2)))) c) |
(/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a))))) #s(literal -1/2 binary64)) (*.f64 c c))) (fma.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 b (*.f64 b b)) a)))) c) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 4) (pow (sqrt -3) 3)))))) (sqrt -3)))) (* -1/2 (/ (* (pow b 5) (pow c 2)) (* (pow a 2) (pow (sqrt -3) 4))))) (pow c 3))) (* (sqrt (/ c a)) (/ (pow b 2) (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 4) (pow (sqrt -3) 3)))) (/ (pow b 3) (* a (pow (sqrt -3) 2)))))) c) |
(/.f64 (-.f64 (-.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b b)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (fma.f64 (/.f64 (*.f64 b (*.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a))))) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -3 binary64))) (neg.f64 (sqrt.f64 (/.f64 c a))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 b #s(literal 5 binary64)) (*.f64 c c))) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 4 binary64))))) (*.f64 c (*.f64 c c)))) (-.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64)))) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a #s(literal -3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) c))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64))))))) c) |
(* -1 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) |
(neg.f64 (*.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))))) |
(* -1 (/ (+ (* -1 (/ (pow b 3) (* a (pow (sqrt 3) 2)))) (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) c)) |
(neg.f64 (/.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 b (*.f64 b b)) a))) c)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) (* -1 (/ (* (pow b 3) c) (* a (pow (sqrt 3) 2))))) c)) (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) c)) |
(neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64))) (/.f64 (fma.f64 (*.f64 (/.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)))) (sqrt.f64 (/.f64 c (*.f64 a (*.f64 a a))))) #s(literal -1/2 binary64) (/.f64 (*.f64 c (*.f64 b (*.f64 b b))) (*.f64 a #s(literal 3 binary64)))) c)) c)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow b 5) c) (* (pow a 2) (pow (sqrt 3) 4))))) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))))) c)) (* -1 (/ (* (pow b 3) c) (* a (pow (sqrt 3) 2))))) c)) (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) c)) |
(neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64))) (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (/.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)))) (sqrt.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a))))) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal 3 binary64))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 c (pow.f64 b #s(literal 5 binary64))) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.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)))) (sqrt.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a)))))))) c)) (/.f64 (*.f64 c (*.f64 b (*.f64 b b))) (*.f64 a #s(literal 3 binary64)))) c)) c)) |
| 1× | batch-egg-rewrite |
| 4 764× | lower-*.f32 |
| 4 732× | lower-*.f64 |
| 4 004× | lower-fma.f32 |
| 3 992× | lower-fma.f64 |
| 3 168× | lower-pow.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 66 | 443 |
| 0 | 113 | 408 |
| 1 | 452 | 399 |
| 2 | 4173 | 399 |
| 0 | 8613 | 399 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.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)) |
(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)))) |
#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)))) |
(*.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 (/ (+ (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 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) |
(/.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)) |
(neg.f64 b) |
(sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) |
(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 (/ (+ (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))))) |
(/.f64 #s(literal -1/2 binary64) b) |
(/.f64 (*.f64 (*.f64 a (*.f64 c c)) #s(literal -3/8 binary64)) (*.f64 b (*.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 (/.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)) |
(/.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 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) |
(/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64))) |
(*.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 (*.f64 #s(literal -3 binary64) c)) |
(*.f64 b (*.f64 b b)) |
(*.f64 (*.f64 a (*.f64 c c)) #s(literal -3/8 binary64)) |
(/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (*.f64 a b) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b)))) |
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 a b)) |
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 a (neg.f64 b))) |
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (neg.f64 (*.f64 a (neg.f64 b)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 a b) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 a b) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 a (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 (*.f64 a b) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))) |
(/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) |
(/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 a b) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))) |
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 a (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))) b) |
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 a a) (*.f64 a a))) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (/.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a a) (*.f64 a a))) (*.f64 a b))) |
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) #s(literal 1 binary64)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) |
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 a (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))) (neg.f64 b)) |
(/.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) b) a) |
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) #s(literal 1 binary64)) (*.f64 a b)) |
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 a (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))) (*.f64 #s(literal 405/64 binary64) c)) b) |
(/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (/.f64 (*.f64 #s(literal 405/64 binary64) c) (*.f64 a b))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) |
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 a a) (*.f64 a a))) (/.f64 (*.f64 #s(literal 405/64 binary64) c) (*.f64 a b))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 405/64 binary64) c) (*.f64 a b))) (/.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a a) (*.f64 a a)))) |
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (/.f64 #s(literal 1 binary64) (*.f64 a b))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) |
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (/.f64 (*.f64 #s(literal 405/64 binary64) c) b)) a) |
(pow.f64 (*.f64 (/.f64 (*.f64 a b) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (/.f64 (*.f64 a b) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 b (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 a (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))) #s(literal -1 binary64)) |
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (/.f64 (*.f64 #s(literal 405/64 binary64) c) (*.f64 a b)))) |
(*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (/.f64 (*.f64 #s(literal 405/64 binary64) c) (*.f64 a b))) |
(*.f64 (*.f64 #s(literal 405/64 binary64) c) (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (*.f64 a b)))) |
(*.f64 (*.f64 #s(literal 405/64 binary64) c) (/.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 a b))) |
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (*.f64 a b))) |
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (*.f64 a (neg.f64 b)))) |
(*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 a (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))) (/.f64 (*.f64 #s(literal 405/64 binary64) c) b)) |
(*.f64 (/.f64 (*.f64 #s(literal 405/64 binary64) c) b) (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 a (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 a (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a b)) (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))) |
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(/.f64 (*.f64 (/.f64 (-.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))) #s(literal 1 binary64)) (*.f64 a #s(literal 3 binary64))) |
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(*.f64 (pow.f64 (/.f64 (pow.f64 b #s(literal 5/2 binary64)) a) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 b #s(literal 5/2 binary64)) (*.f64 a #s(literal -9/16 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (pow.f64 b #s(literal 5/2 binary64)) (*.f64 a a)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 b #s(literal 5/2 binary64)) #s(literal -9/16 binary64)) #s(literal -1 binary64))) |
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(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))) |
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(/.f64 (*.f64 #s(literal 405/64 binary64) c) (/.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a a) (*.f64 a a)))) |
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(pow.f64 (/.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c))) #s(literal -1 binary64)) |
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(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 405/64 binary64)) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (neg.f64 c)) |
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(*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 #s(literal 405/64 binary64) c) (*.f64 b (*.f64 b b)))) |
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(*.f64 (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) c) #s(literal 405/64 binary64)) |
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(neg.f64 (*.f64 a (*.f64 #s(literal 3 binary64) c))) |
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(*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) a) |
(*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a c)) c) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))) (*.f64 b b))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (*.f64 b b) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) |
(/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))) |
(/.f64 (*.f64 b b) (neg.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) |
(/.f64 (neg.f64 (*.f64 b b)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))) (*.f64 b b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))) (*.f64 b b)) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))) (*.f64 b b)))) |
(pow.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))) (*.f64 b b)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))) (*.f64 b b)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 b (/.f64 b (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) |
(*.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) |
(*.f64 (neg.f64 (*.f64 b b)) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))) (*.f64 b b)) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal -1 binary64))) |
(*.f64 (/.f64 b (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))) b) |
(*.f64 (/.f64 (*.f64 b b) (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) (-.f64 (fma.f64 b b (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) (*.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) |
(*.f64 (/.f64 (*.f64 b b) (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))) |
Compiled 73 451 to 4 879 computations (93.4% saved)
41 alts after pruning (38 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 694 | 32 | 1 726 |
| Fresh | 7 | 6 | 13 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 703 | 41 | 1 744 |
| Status | Accuracy | Program |
|---|---|---|
| 19.9% | (fma.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))) (*.f64 a #s(literal 3 binary64))) (neg.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))))) | |
| 20.9% | (fma.f64 (/.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))) (/.f64 #s(literal 1/3 binary64) a) (neg.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))))) | |
| 19.6% | (fma.f64 (/.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) a) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))) #s(literal 3 binary64)) (neg.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))))) | |
| ▶ | 19.6% | (fma.f64 (/.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))) a) (neg.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))))) |
| 19.7% | (/.f64 (fma.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))) (/.f64 (*.f64 b b) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) (*.f64 #s(literal 3 binary64) a)) | |
| 20.2% | (/.f64 (fma.f64 (*.f64 b b) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) (/.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) (*.f64 #s(literal 3 binary64) a)) | |
| 19.8% | (/.f64 (fma.f64 (sqrt.f64 (*.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) (fma.f64 a (*.f64 #s(literal 3 binary64) c) (*.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)) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) | |
| 18.6% | (/.f64 (fma.f64 (neg.f64 b) (/.f64 b (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))) (/.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) (*.f64 #s(literal 3 binary64) a)) | |
| 18.4% | (/.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)) | |
| 17.9% | (/.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)) | |
| 18.1% | (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) a) #s(literal 3 binary64)) | |
| ▶ | 18.7% | (/.f64 (-.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 b b)) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) |
| ✓ | 18.4% | (/.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)) |
| 19.2% | (/.f64 (-.f64 (/.f64 (/.f64 (*.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))) (+.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 b b)))) (/.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))) (+.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a)) | |
| 18.4% | (/.f64 (-.f64 (*.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))) (*.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) (*.f64 (*.f64 a #s(literal 3 binary64)) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))))) | |
| 18.2% | (/.f64 (-.f64 (*.f64 (/.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))) (*.f64 a #s(literal 3 binary64))) (*.f64 (*.f64 a #s(literal 3 binary64)) (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))))) (*.f64 (*.f64 a #s(literal 3 binary64)) (*.f64 a #s(literal 3 binary64)))) | |
| 18.1% | (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) (*.f64 a #s(literal 3 binary64))) | |
| 13.6% | (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (+ (* b b) (* a (* -3 c)))) (fma.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 a c) b) b))) (*.f64 #s(literal 3 binary64) a)) | |
| 18.7% | (/.f64 (*.f64 (-.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 b b)) (/.f64 #s(literal 1/3 binary64) a)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))) | |
| 18.1% | (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) a) | |
| 89.7% | (/.f64 #s(approx (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 95.1% | (/.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)) | |
| 18.1% | (/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)))) | |
| 18.7% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 b b))) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) | |
| 18.3% | (-.f64 (/.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))))) | |
| 17.7% | (-.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))) | |
| 18.1% | (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64))) | |
| 18.1% | (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)) | |
| 18.1% | (*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) | |
| 18.1% | (*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))) | |
| ▶ | 95.8% | #s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b)) |
| ▶ | 98.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))) (*.f64 c c) (/.f64 c (*.f64 b #s(literal -2 binary64))))) |
| ✓ | 95.5% | #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))))) |
| 96.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 a (*.f64 #s(literal -3/8 binary64) (*.f64 c c))) (*.f64 (*.f64 a (*.f64 c c)) #s(literal 3/8 binary64))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (*.f64 c c) (/.f64 #s(literal 1/4 binary64) (*.f64 b b)))) (-.f64 (/.f64 (*.f64 a (*.f64 #s(literal -3/8 binary64) (*.f64 c c))) (*.f64 b (*.f64 b b))) (/.f64 c (*.f64 b #s(literal -2 binary64)))))) | |
| 89.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) | |
| 97.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 c (fma.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))) (/.f64 #s(literal -1/2 binary64) b)) c)) | |
| ▶ | 90.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -1/2 binary64) b) c)) |
| 95.5% | #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)))) | |
| ✓ | 90.3% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
| 95.3% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* c (/ -1/2 b)) (/ (* (* a (* c c)) -3/8) (* b (* b b)))) (*.f64 (*.f64 c c) (-.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) (*.f64 c b)))))) | |
| 95.3% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* c (/ -1/2 b)) (/ (* (* a (* c c)) -3/8) (* b (* b b)))) (*.f64 a (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 a b)) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))))))) |
Compiled 2 898 to 1 280 computations (55.8% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) #s(literal 3 binary64)) |
| ✓ | cost-diff | 128 | (neg.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))))) |
| ✓ | cost-diff | 384 | (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))) a) |
| ✓ | cost-diff | 4672 | (fma.f64 (/.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))) a) (neg.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal -3 binary64) (*.f64 a c)) |
| ✓ | cost-diff | 0 | (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 b b)) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) |
| ✓ | cost-diff | 896 | (-.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 b b)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b)) |
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) |
| ✓ | cost-diff | 0 | #s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b)) |
| ✓ | cost-diff | 320 | (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -1/2 binary64) b) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 #s(literal -1/2 binary64) b) c) |
| ✓ | cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -1/2 binary64) b) c)) |
| ✓ | cost-diff | 0 | (fma.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))) |
| ✓ | cost-diff | 0 | (fma.f64 (fma.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))) (*.f64 c c) (/.f64 c (*.f64 b #s(literal -2 binary64)))) |
| ✓ | cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))) (*.f64 c c) (/.f64 c (*.f64 b #s(literal -2 binary64))))) |
| ✓ | cost-diff | 2176 | (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) |
| 8 360× | lower-fma.f32 |
| 8 348× | lower-fma.f64 |
| 5 422× | lower-*.f32 |
| 5 380× | lower-*.f64 |
| 2 992× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 75 | 880 |
| 0 | 125 | 850 |
| 1 | 288 | 752 |
| 2 | 963 | 661 |
| 3 | 4191 | 644 |
| 4 | 5269 | 644 |
| 0 | 8220 | 636 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))) (*.f64 c c) (/.f64 c (*.f64 b #s(literal -2 binary64))))) |
(fma.f64 (fma.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))) (*.f64 c c) (/.f64 c (*.f64 b #s(literal -2 binary64)))) |
(fma.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))) |
a |
(/.f64 #s(literal -3/8 binary64) (*.f64 b (*.f64 b b))) |
#s(literal -3/8 binary64) |
(*.f64 b (*.f64 b b)) |
b |
(*.f64 b b) |
(*.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))) |
c |
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) |
(/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) |
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) |
(*.f64 (*.f64 a a) (*.f64 a a)) |
(*.f64 a a) |
(*.f64 #s(literal 405/64 binary64) c) |
#s(literal 405/64 binary64) |
(*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b)) |
(*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) |
(*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) |
(*.f64 a b) |
#s(literal -1/6 binary64) |
(/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) |
(*.f64 (*.f64 a a) #s(literal -9/16 binary64)) |
#s(literal -9/16 binary64) |
(*.f64 c c) |
(/.f64 c (*.f64 b #s(literal -2 binary64))) |
(*.f64 b #s(literal -2 binary64)) |
#s(literal -2 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -1/2 binary64) b) c)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) b) c) |
(/.f64 #s(literal -1/2 binary64) b) |
#s(literal -1/2 binary64) |
b |
c |
#s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b)) |
(/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) |
(fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) |
c |
#s(literal -1/2 binary64) |
(/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b)) |
(*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) |
#s(literal -3/8 binary64) |
(*.f64 a (*.f64 c c)) |
a |
(*.f64 c c) |
(*.f64 b b) |
b |
(/.f64 (-.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 b b)) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) |
(-.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 b b)) |
(fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) |
b |
(*.f64 #s(literal -3 binary64) (*.f64 a c)) |
#s(literal -3 binary64) |
(*.f64 a c) |
a |
c |
(*.f64 b b) |
(*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))) |
(*.f64 a #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))) |
(sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) |
(fma.f64 (/.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))) a) (neg.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))))) |
(/.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) #s(literal 3 binary64)) |
(fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) |
b |
(*.f64 #s(literal -3 binary64) (*.f64 a c)) |
#s(literal -3 binary64) |
(*.f64 a c) |
a |
c |
#s(literal 3 binary64) |
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))) a) |
(/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))) |
#s(literal 1 binary64) |
(+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))) |
(sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) |
(neg.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))))) |
(/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) |
(*.f64 b b) |
(*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))) |
(*.f64 a #s(literal 3 binary64)) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))) (*.f64 c c) (/.f64 c (*.f64 b #s(literal -2 binary64))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 c (*.f64 (/.f64 (*.f64 a a) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 (/.f64 (*.f64 a a) b) (/.f64 (*.f64 c #s(literal -135/128 binary64)) (*.f64 b a)) #s(literal -9/16 binary64))))) (*.f64 c c) (/.f64 c (*.f64 b #s(literal -2 binary64))))) |
(fma.f64 (fma.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))) (*.f64 c c) (/.f64 c (*.f64 b #s(literal -2 binary64)))) |
(fma.f64 (fma.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 c (*.f64 (/.f64 (*.f64 a a) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 (/.f64 (*.f64 a a) b) (/.f64 (*.f64 c #s(literal -135/128 binary64)) (*.f64 b a)) #s(literal -9/16 binary64))))) (*.f64 c c) (/.f64 c (*.f64 b #s(literal -2 binary64)))) |
(fma.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))) |
(fma.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 c (*.f64 (/.f64 (*.f64 a a) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 (/.f64 (*.f64 a a) b) (/.f64 (*.f64 c #s(literal -135/128 binary64)) (*.f64 b a)) #s(literal -9/16 binary64))))) |
a |
(/.f64 #s(literal -3/8 binary64) (*.f64 b (*.f64 b b))) |
#s(literal -3/8 binary64) |
(*.f64 b (*.f64 b b)) |
b |
(*.f64 b b) |
(*.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))))) |
(*.f64 c (*.f64 (/.f64 (*.f64 a a) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 (/.f64 (*.f64 a a) b) (/.f64 (*.f64 c #s(literal -135/128 binary64)) (*.f64 b a)) #s(literal -9/16 binary64)))) |
c |
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) |
(*.f64 (/.f64 (*.f64 a a) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 (/.f64 (*.f64 a a) b) (/.f64 (*.f64 c #s(literal -135/128 binary64)) (*.f64 b a)) #s(literal -9/16 binary64))) |
(/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) |
(/.f64 (*.f64 a (*.f64 c (*.f64 #s(literal 405/64 binary64) (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b a)))))) |
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) |
(*.f64 a (*.f64 c (*.f64 #s(literal 405/64 binary64) (*.f64 a (*.f64 a a))))) |
(*.f64 (*.f64 a a) (*.f64 a a)) |
(*.f64 a (*.f64 a (*.f64 a a))) |
(*.f64 a a) |
(*.f64 #s(literal 405/64 binary64) c) |
(*.f64 c #s(literal 405/64 binary64)) |
#s(literal 405/64 binary64) |
(*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b)) |
(*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b a))))) |
(*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) |
(*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) |
(*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) |
(*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))) |
(*.f64 a b) |
(*.f64 b a) |
#s(literal -1/6 binary64) |
(/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) |
(/.f64 (*.f64 a (*.f64 a #s(literal -9/16 binary64))) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))) |
(*.f64 (*.f64 a a) #s(literal -9/16 binary64)) |
(*.f64 a (*.f64 a #s(literal -9/16 binary64))) |
#s(literal -9/16 binary64) |
(*.f64 c c) |
(/.f64 c (*.f64 b #s(literal -2 binary64))) |
(*.f64 b #s(literal -2 binary64)) |
#s(literal -2 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -1/2 binary64) b) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) b) c) |
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b) |
(/.f64 #s(literal -1/2 binary64) b) |
#s(literal -1/2 binary64) |
b |
c |
#s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b)) |
#s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 (*.f64 c (fma.f64 (*.f64 a c) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) #s(literal -1/2 binary64))) b)) |
(/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) |
(/.f64 (*.f64 c (fma.f64 (*.f64 a c) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) #s(literal -1/2 binary64))) b) |
(fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) |
(*.f64 c (fma.f64 (*.f64 a c) (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) #s(literal -1/2 binary64))) |
c |
#s(literal -1/2 binary64) |
(/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b)) |
(/.f64 (*.f64 a (*.f64 #s(literal -3/8 binary64) (*.f64 c c))) (*.f64 b b)) |
(*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) |
(*.f64 a (*.f64 #s(literal -3/8 binary64) (*.f64 c c))) |
#s(literal -3/8 binary64) |
(*.f64 a (*.f64 c c)) |
a |
(*.f64 c c) |
(*.f64 b b) |
b |
(/.f64 (-.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 b b)) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) |
(/.f64 (*.f64 #s(literal 3 binary64) (*.f64 a c)) (*.f64 a (*.f64 #s(literal -3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))))) |
(-.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 b b)) |
(*.f64 a (*.f64 c #s(literal -3 binary64))) |
(fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) |
(fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)) |
b |
(*.f64 #s(literal -3 binary64) (*.f64 a c)) |
(*.f64 a (*.f64 c #s(literal -3 binary64))) |
#s(literal -3 binary64) |
(*.f64 a c) |
a |
c |
(*.f64 b b) |
(*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))) |
(*.f64 #s(literal 3 binary64) (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))))) |
(*.f64 a #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
(+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))) |
(+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))) |
(sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) |
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) |
(fma.f64 (/.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))) a) (neg.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))))) |
(/.f64 (*.f64 #s(literal 3 binary64) (*.f64 a c)) (*.f64 a (*.f64 #s(literal -3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))))) |
(/.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) #s(literal 3 binary64)) |
(/.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)) #s(literal 3 binary64)) |
(fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) |
(fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)) |
b |
(*.f64 #s(literal -3 binary64) (*.f64 a c)) |
(*.f64 a (*.f64 c #s(literal -3 binary64))) |
#s(literal -3 binary64) |
(*.f64 a c) |
a |
c |
#s(literal 3 binary64) |
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))) a) |
(/.f64 #s(literal 1 binary64) (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))))) |
(/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))) |
(/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))) |
#s(literal 1 binary64) |
(+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))) |
(+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))) |
(sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) |
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) |
(neg.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))))) |
(/.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))))) |
(/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) |
(/.f64 (*.f64 b b) (*.f64 #s(literal 3 binary64) (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))))) |
(*.f64 b b) |
(*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))) |
(*.f64 #s(literal 3 binary64) (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))))) |
(*.f64 a #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) a) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.5% | (/.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) #s(literal 3 binary64)) |
| ✓ | accuracy | 99.5% | (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) |
| ✓ | accuracy | 99.5% | (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))) |
| ✓ | accuracy | 20.2% | (fma.f64 (/.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))) a) (neg.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))))) |
| ✓ | accuracy | 99.5% | (*.f64 #s(literal -3 binary64) (*.f64 a c)) |
| ✓ | accuracy | 99.5% | (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))) |
| ✓ | accuracy | 99.5% | (/.f64 (-.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 b b)) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) |
| ✓ | accuracy | 18.7% | (-.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 b b)) |
| ✓ | accuracy | 99.6% | (*.f64 a (*.f64 c c)) |
| ✓ | accuracy | 99.6% | (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) |
| ✓ | accuracy | 99.4% | (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b)) |
| ✓ | accuracy | 95.8% | #s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal -1/2 binary64) b) |
| ✓ | accuracy | 99.6% | (*.f64 (/.f64 #s(literal -1/2 binary64) b) c) |
| ✓ | accuracy | 90.3% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -1/2 binary64) b) c)) |
| ✓ | accuracy | 99.4% | (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) |
| ✓ | accuracy | 99.4% | (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) |
| ✓ | accuracy | 99.2% | (*.f64 (*.f64 a a) (*.f64 a a)) |
| ✓ | accuracy | 98.3% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))) (*.f64 c c) (/.f64 c (*.f64 b #s(literal -2 binary64))))) |
| 460.0ms | 215× | 1 | valid |
| 19.0ms | 41× | 0 | valid |
Compiled 823 to 78 computations (90.5% saved)
ival-mult: 249.0ms (59.7% of total)adjust: 61.0ms (14.6% of total)ival-div: 40.0ms (9.6% of total)ival-add: 34.0ms (8.1% of total)ival-sqrt: 18.0ms (4.3% of total)ival-sub: 6.0ms (1.4% of total)const: 4.0ms (1% of total)ival-neg: 3.0ms (0.7% of total)exact: 1.0ms (0.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (patch (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))) (*.f64 c c) (/.f64 c (*.f64 b #s(literal -2 binary64))))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))) (*.f64 c c) (/.f64 c (*.f64 b #s(literal -2 binary64))))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))) (*.f64 c c) (/.f64 c (*.f64 b #s(literal -2 binary64)))) (patch (fma.f64 (fma.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))) (*.f64 c c) (/.f64 c (*.f64 b #s(literal -2 binary64)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))) (patch (fma.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -1/2 binary64) b) c)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -1/2 binary64) b) c)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal -1/2 binary64) b) c) (patch (*.f64 (/.f64 #s(literal -1/2 binary64) b) c) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1/2 binary64) b) (patch (/.f64 #s(literal -1/2 binary64) b) #<representation binary64>) () ()) |
#s(alt (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) (patch (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b)) (patch #s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) (patch (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b)) (patch (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b)) #<representation binary64>) () ()) |
#s(alt (-.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 b b)) (patch (-.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 b b)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 b b)) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) (patch (/.f64 (-.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 b b)) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) #<representation binary64>) () ()) |
#s(alt (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) (patch (fma.f64 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 (fma.f64 (/.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))) a) (neg.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))))) (patch (fma.f64 (/.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))) a) (neg.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))))) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))) a) (patch (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))) a) #<representation binary64>) () ()) |
#s(alt (neg.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))))) (patch (neg.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))))) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) #s(literal 3 binary64)) (patch (/.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 a a) (*.f64 a a)) (patch (*.f64 (*.f64 a a) (*.f64 a a)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (patch (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) (patch (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (patch (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) #<representation binary64>) () ()) |
#s(alt (*.f64 a (*.f64 c c)) (patch (*.f64 a (*.f64 c c)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))) (patch (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) (patch (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -9/16 (/ (pow a 2) (pow b 5))) (taylor 0 a) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (patch (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5))))) (taylor 0 a) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (patch (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5))))) (taylor 0 a) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (patch (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5))))) (taylor 0 a) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (patch (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) #<representation binary64>) () ())) ()) |
#s(alt (* -135/128 (/ (* (pow a 3) c) (pow b 7))) (taylor inf a) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (patch (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 3) (- (* -135/128 (/ c (pow b 7))) (* 9/16 (/ 1 (* a (pow b 5)))))) (taylor inf a) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (patch (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 3) (- (* -135/128 (/ c (pow b 7))) (* 9/16 (/ 1 (* a (pow b 5)))))) (taylor inf a) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (patch (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 3) (- (* -135/128 (/ c (pow b 7))) (* 9/16 (/ 1 (* a (pow b 5)))))) (taylor inf a) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (patch (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) #<representation binary64>) () ())) ()) |
#s(alt (* -135/128 (/ (* (pow a 3) c) (pow b 7))) (taylor -inf a) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (patch (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow a 3) (+ (* 135/128 (/ c (pow b 7))) (* 9/16 (/ 1 (* a (pow b 5))))))) (taylor -inf a) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (patch (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow a 3) (+ (* 135/128 (/ c (pow b 7))) (* 9/16 (/ 1 (* a (pow b 5))))))) (taylor -inf a) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (patch (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow a 3) (+ (* 135/128 (/ c (pow b 7))) (* 9/16 (/ 1 (* a (pow b 5))))))) (taylor -inf a) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (patch (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) #<representation binary64>) () ())) ()) |
#s(alt (* -9/16 (/ (pow a 2) (pow b 5))) (taylor 0 c) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (patch (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -135/128 (/ (* (pow a 3) c) (pow b 7))) (* -9/16 (/ (pow a 2) (pow b 5)))) (taylor 0 c) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (patch (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -135/128 (/ (* (pow a 3) c) (pow b 7))) (* -9/16 (/ (pow a 2) (pow b 5)))) (taylor 0 c) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (patch (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -135/128 (/ (* (pow a 3) c) (pow b 7))) (* -9/16 (/ (pow a 2) (pow b 5)))) (taylor 0 c) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (patch (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) #<representation binary64>) () ())) ()) |
#s(alt (* -135/128 (/ (* (pow a 3) c) (pow b 7))) (taylor inf c) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (patch (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -9/16 (/ (pow a 2) (* (pow b 5) c))))) (taylor inf c) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (patch (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -9/16 (/ (pow a 2) (* (pow b 5) c))))) (taylor inf c) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (patch (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -9/16 (/ (pow a 2) (* (pow b 5) c))))) (taylor inf c) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (patch (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))))))) (taylor 0 a) (#s(alt (fma.f64 (fma.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))) (*.f64 c c) (/.f64 c (*.f64 b #s(literal -2 binary64)))) (patch (fma.f64 (fma.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))) (*.f64 c c) (/.f64 c (*.f64 b #s(literal -2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7))) (taylor inf a) (#s(alt (fma.f64 (fma.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))) (*.f64 c c) (/.f64 c (*.f64 b #s(literal -2 binary64)))) (patch (fma.f64 (fma.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))) (*.f64 c c) (/.f64 c (*.f64 b #s(literal -2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) (taylor inf a) (#s(alt (fma.f64 (fma.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))) (*.f64 c c) (/.f64 c (*.f64 b #s(literal -2 binary64)))) (patch (fma.f64 (fma.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))) (*.f64 c c) (/.f64 c (*.f64 b #s(literal -2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 5)))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 3))))))) (taylor inf a) (#s(alt (fma.f64 (fma.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))) (*.f64 c c) (/.f64 c (*.f64 b #s(literal -2 binary64)))) (patch (fma.f64 (fma.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))) (*.f64 c c) (/.f64 c (*.f64 b #s(literal -2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 5)))) (+ (* -1/2 (/ c (* (pow a 3) b))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 3)))))))) (taylor inf a) (#s(alt (fma.f64 (fma.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))) (*.f64 c c) (/.f64 c (*.f64 b #s(literal -2 binary64)))) (patch (fma.f64 (fma.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))) (*.f64 c c) (/.f64 c (*.f64 b #s(literal -2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7))) (taylor -inf a) (#s(alt (fma.f64 (fma.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))) (*.f64 c c) (/.f64 c (*.f64 b #s(literal -2 binary64)))) (patch (fma.f64 (fma.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))) (*.f64 c c) (/.f64 c (*.f64 b #s(literal -2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow a 3) (+ (* 9/16 (/ (pow c 3) (* a (pow b 5)))) (* 135/128 (/ (pow c 4) (pow b 7)))))) (taylor -inf a) (#s(alt (fma.f64 (fma.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))) (*.f64 c c) (/.f64 c (*.f64 b #s(literal -2 binary64)))) (patch (fma.f64 (fma.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))) (*.f64 c c) (/.f64 c (*.f64 b #s(literal -2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -3/8 (/ (pow c 2) (* a (pow b 3))))) a)) (* 135/128 (/ (pow c 4) (pow b 7)))))) (taylor -inf a) (#s(alt (fma.f64 (fma.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))) (*.f64 c c) (/.f64 c (*.f64 b #s(literal -2 binary64)))) (patch (fma.f64 (fma.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))) (*.f64 c c) (/.f64 c (*.f64 b #s(literal -2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5)))) a)) (* 135/128 (/ (pow c 4) (pow b 7)))))) (taylor -inf a) (#s(alt (fma.f64 (fma.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))) (*.f64 c c) (/.f64 c (*.f64 b #s(literal -2 binary64)))) (patch (fma.f64 (fma.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))) (*.f64 c c) (/.f64 c (*.f64 b #s(literal -2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7))) (taylor 0 b) (#s(alt (fma.f64 (fma.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))) (*.f64 c c) (/.f64 c (*.f64 b #s(literal -2 binary64)))) (patch (fma.f64 (fma.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))) (*.f64 c c) (/.f64 c (*.f64 b #s(literal -2 binary64)))) #<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 7)) (taylor 0 b) (#s(alt (fma.f64 (fma.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))) (*.f64 c c) (/.f64 c (*.f64 b #s(literal -2 binary64)))) (patch (fma.f64 (fma.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))) (*.f64 c c) (/.f64 c (*.f64 b #s(literal -2 binary64)))) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) (taylor inf c) (#s(alt (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) (patch (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) (taylor inf c) (#s(alt (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) (patch (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) (taylor inf c) (#s(alt (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) (patch (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (taylor -inf c) (#s(alt (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) (patch (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) (taylor -inf c) (#s(alt (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) (patch (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) #<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 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) (patch (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) (taylor 0 a) (#s(alt (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) (patch (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (taylor inf a) (#s(alt (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) (patch (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -1/2 (/ c a)) (* -3/8 (/ (pow c 2) (pow b 2))))) (taylor inf a) (#s(alt (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) (patch (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -1/2 (/ c a)) (* -3/8 (/ (pow c 2) (pow b 2))))) (taylor inf a) (#s(alt (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) (patch (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -1/2 (/ c a)) (* -3/8 (/ (pow c 2) (pow b 2))))) (taylor inf a) (#s(alt (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) (patch (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (taylor -inf a) (#s(alt (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) (patch (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a))))) (taylor -inf a) (#s(alt (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) (patch (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a))))) (taylor -inf a) (#s(alt (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) (patch (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a))))) (taylor -inf a) (#s(alt (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) (patch (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (taylor 0 b) (#s(alt (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) (patch (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 2)) (taylor 0 b) (#s(alt (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) (patch (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 2)) (taylor 0 b) (#s(alt (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) (patch (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 2)) (taylor 0 b) (#s(alt (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) (patch (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 c) (taylor inf b) (#s(alt (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) (patch (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) (taylor inf b) (#s(alt (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) (patch (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) (taylor inf b) (#s(alt (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) (patch (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) (taylor inf b) (#s(alt (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) (patch (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 c) (taylor -inf b) (#s(alt (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) (patch (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) (taylor -inf b) (#s(alt (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) (patch (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) (taylor -inf b) (#s(alt (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) (patch (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) (taylor -inf b) (#s(alt (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) (patch (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ c b)) (taylor 0 a) (#s(alt #s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b)) (patch #s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) (taylor 0 a) (#s(alt #s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b)) (patch #s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (taylor inf a) (#s(alt #s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b)) (patch #s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b)) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* -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)))))) (taylor 0 b) (#s(alt #s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b)) (patch #s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ c b)) (taylor inf b) (#s(alt #s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b)) (patch #s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) (taylor inf b) (#s(alt #s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b)) (patch #s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b)) #<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 #s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b)) (patch #s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -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) (taylor inf b) (#s(alt #s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b)) (patch #s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b)) #<representation binary64>) () ())) ()) |
#s(alt (* -2/3 (/ b a)) (taylor -inf b) (#s(alt #s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b)) (patch #s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) (taylor -inf b) (#s(alt #s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b)) (patch #s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b)) #<representation binary64>) () ())) ()) |
#s(alt (* -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))))))) (taylor -inf b) (#s(alt #s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b)) (patch #s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b)) #<representation binary64>) () ())) ()) |
#s(alt (* -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)))))))))) (taylor -inf b) (#s(alt #s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b)) (patch #s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ c b)) (taylor 0 c) (#s(alt (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) (patch (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) (patch (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) (patch (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) (patch (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -3/8 (/ (* a (pow c 2)) (pow b 3))) (taylor inf c) (#s(alt (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) (patch (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) (taylor inf c) (#s(alt (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) (patch (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) (taylor inf c) (#s(alt (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) (patch (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) (taylor inf c) (#s(alt (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) (patch (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -3/8 (/ (* a (pow c 2)) (pow b 3))) (taylor -inf c) (#s(alt (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) (patch (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) (taylor -inf c) (#s(alt (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) (patch (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) (taylor -inf c) (#s(alt (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) (patch (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) (taylor -inf c) (#s(alt (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) (patch (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ c b)) (taylor 0 a) (#s(alt (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) (patch (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) (taylor 0 a) (#s(alt (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) (patch (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) (taylor 0 a) (#s(alt (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) (patch (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) (taylor 0 a) (#s(alt (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) (patch (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -3/8 (/ (* a (pow c 2)) (pow b 3))) (taylor inf a) (#s(alt (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) (patch (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3))))) (taylor inf a) (#s(alt (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) (patch (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3))))) (taylor inf a) (#s(alt (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) (patch (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3))))) (taylor inf a) (#s(alt (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) (patch (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -3/8 (/ (* a (pow c 2)) (pow b 3))) (taylor -inf a) (#s(alt (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) (patch (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))))) (taylor -inf a) (#s(alt (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) (patch (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
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#s(alt (* 1/6 (/ b a)) (taylor 0 a) (#s(alt (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) (patch (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 1/8 (/ (* a c) b)) (* 1/6 b)) a) (taylor 0 a) (#s(alt (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) (patch (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 1/6 b) (* a (+ (* 1/8 (/ c b)) (* 3/16 (/ (* a (pow c 2)) (pow b 3)))))) a) (taylor 0 a) (#s(alt (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) (patch (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 1/6 b) (* a (+ (* 1/8 (/ c b)) (* a (+ (* -1/3 (* a (+ (* -27/32 (/ (pow c 3) (pow b 5))) (* -27/128 (/ (pow c 3) (pow b 5)))))) (* 3/16 (/ (pow c 2) (pow b 3)))))))) a) (taylor 0 a) (#s(alt (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) (patch (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (taylor inf a) (#s(alt (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) (patch (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/3 (/ (pow b 3) (* c (pow (sqrt -3) 2)))) (* 1/3 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -3))))) (pow a 2)) (taylor inf a) (#s(alt (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) (patch (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/3 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -3) 3))))) (pow a 2))) (+ (* -1/3 (/ (pow b 3) (* c (pow (sqrt -3) 2)))) (* 1/3 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -3)))))) (pow a 2)) (taylor inf a) (#s(alt (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) (patch (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/3 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -3) 3)))))) (sqrt -3)))) (* -1/2 (/ (* (pow a 2) (pow b 5)) (* (pow c 2) (pow (sqrt -3) 4))))) (pow a 3))) (+ (* -1/3 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -3) 3))))) (pow a 2))) (+ (* -1/3 (/ (pow b 3) (* c (pow (sqrt -3) 2)))) (* 1/3 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -3))))))) (pow a 2)) (taylor inf a) (#s(alt (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) (patch (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (taylor -inf a) (#s(alt (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) (patch (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/3 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (/ (pow b 3) (* c (pow (sqrt 3) 2))))) (pow a 2)) (taylor -inf a) (#s(alt (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) (patch (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (/ (+ (* -1/3 (/ (* a (pow b 3)) (* c (pow (sqrt 3) 2)))) (* -1/3 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a)) (* -1/3 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) (pow a 2)) (taylor -inf a) (#s(alt (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) (patch (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow a 2) (pow b 5)) (* (pow c 2) (pow (sqrt 3) 4))))) a)) (* 1/3 (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))))) a)) (* -1/3 (/ (* a (pow b 3)) (* c (pow (sqrt 3) 2))))) a)) (* -1/3 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) (pow a 2)) (taylor -inf a) (#s(alt (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) (patch (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (/ b a)) (taylor 0 c) (#s(alt (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) (patch (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/8 (/ c b)) (* 1/6 (/ b a))) (taylor 0 c) (#s(alt (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) (patch (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/6 (/ b a)) (* c (+ (* 3/16 (/ (* a c) (pow b 3))) (* 1/8 (/ 1 b))))) (taylor 0 c) (#s(alt (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) (patch (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/6 (/ b a)) (* c (+ (* c (+ (* -1/3 (* c (+ (* -27/32 (/ (pow a 2) (pow b 5))) (* -27/128 (/ (pow a 2) (pow b 5)))))) (* 3/16 (/ a (pow b 3))))) (* 1/8 (/ 1 b))))) (taylor 0 c) (#s(alt (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) (patch (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (taylor inf c) (#s(alt (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) (patch (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/3 (/ (pow b 3) (* (pow a 2) (pow (sqrt -3) 2)))) (* 1/3 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -3))))) c) (taylor inf c) (#s(alt (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) (patch (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/3 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 4) (pow (sqrt -3) 3))))) (pow c 2))) (+ (* -1/3 (/ (pow b 3) (* (pow a 2) (pow (sqrt -3) 2)))) (* 1/3 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -3)))))) c) (taylor inf c) (#s(alt (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) (patch (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/3 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 4) (pow (sqrt -3) 3)))))) (sqrt -3)))) (* -1/2 (/ (* (pow b 5) (pow c 2)) (* (pow a 3) (pow (sqrt -3) 4))))) (pow c 3))) (+ (* -1/3 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 4) (pow (sqrt -3) 3))))) (pow c 2))) (+ (* -1/3 (/ (pow b 3) (* (pow a 2) (pow (sqrt -3) 2)))) (* 1/3 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -3))))))) c) (taylor inf c) (#s(alt (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) (patch (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (taylor -inf c) (#s(alt (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) (patch (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1/3 (/ (pow b 3) (* (pow a 2) (pow (sqrt 3) 2)))) (* 1/3 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (taylor -inf c) (#s(alt (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) (patch (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ (+ (* 1/3 (/ (* (pow b 3) c) (* (pow a 2) (pow (sqrt 3) 2)))) (* 1/3 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) c))) c)) (* 1/3 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (taylor -inf c) (#s(alt (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) (patch (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))))) (* 1/3 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow b 5) (pow c 2)) (* (pow a 3) (pow (sqrt 3) 4))))) c))) c)) (* 1/3 (/ (* (pow b 3) c) (* (pow a 2) (pow (sqrt 3) 2))))) c)) (* 1/3 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (taylor -inf c) (#s(alt (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) (patch (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) #<representation binary64>) () ())) ()) |
207 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 32.0ms | b | @ | inf | (/ (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) b) |
| 20.0ms | a | @ | -inf | (neg (/ (* b b) (* (* a 3) (+ b (sqrt (+ (* b b) (* -3 (* a c)))))))) |
| 6.0ms | b | @ | 0 | (+ (* (/ (+ (* b b) (* -3 (* a c))) 3) (/ (/ 1 (+ b (sqrt (+ (* b b) (* -3 (* a c)))))) a)) (neg (/ (* b b) (* (* a 3) (+ b (sqrt (+ (* b b) (* -3 (* a c))))))))) |
| 4.0ms | b | @ | -inf | (+ (* (/ (+ (* b b) (* -3 (* a c))) 3) (/ (/ 1 (+ b (sqrt (+ (* b b) (* -3 (* a c)))))) a)) (neg (/ (* b b) (* (* a 3) (+ b (sqrt (+ (* b b) (* -3 (* a c))))))))) |
| 3.0ms | b | @ | inf | (+ (* (/ (+ (* b b) (* -3 (* a c))) 3) (/ (/ 1 (+ b (sqrt (+ (* b b) (* -3 (* a c)))))) a)) (neg (/ (* b b) (* (* a 3) (+ b (sqrt (+ (* b b) (* -3 (* a c))))))))) |
| 1× | egg-herbie |
| 6 226× | lower-*.f64 |
| 6 226× | lower-*.f32 |
| 4 334× | lower-fma.f64 |
| 4 334× | lower-fma.f32 |
| 4 024× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 2128 | 20213 |
| 1 | 6156 | 19510 |
| 0 | 8138 | 18866 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -9/16 (/ (pow a 2) (pow b 5))) |
(* (pow a 2) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5))))) |
(* (pow a 2) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5))))) |
(* (pow a 2) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5))))) |
(* -135/128 (/ (* (pow a 3) c) (pow b 7))) |
(* (pow a 3) (- (* -135/128 (/ c (pow b 7))) (* 9/16 (/ 1 (* a (pow b 5)))))) |
(* (pow a 3) (- (* -135/128 (/ c (pow b 7))) (* 9/16 (/ 1 (* a (pow b 5)))))) |
(* (pow a 3) (- (* -135/128 (/ c (pow b 7))) (* 9/16 (/ 1 (* a (pow b 5)))))) |
(* -135/128 (/ (* (pow a 3) c) (pow b 7))) |
(* -1 (* (pow a 3) (+ (* 135/128 (/ c (pow b 7))) (* 9/16 (/ 1 (* a (pow b 5))))))) |
(* -1 (* (pow a 3) (+ (* 135/128 (/ c (pow b 7))) (* 9/16 (/ 1 (* a (pow b 5))))))) |
(* -1 (* (pow a 3) (+ (* 135/128 (/ c (pow b 7))) (* 9/16 (/ 1 (* a (pow b 5))))))) |
(* -9/16 (/ (pow a 2) (pow b 5))) |
(+ (* -135/128 (/ (* (pow a 3) c) (pow b 7))) (* -9/16 (/ (pow a 2) (pow b 5)))) |
(+ (* -135/128 (/ (* (pow a 3) c) (pow b 7))) (* -9/16 (/ (pow a 2) (pow b 5)))) |
(+ (* -135/128 (/ (* (pow a 3) c) (pow b 7))) (* -9/16 (/ (pow a 2) (pow b 5)))) |
(* -135/128 (/ (* (pow a 3) c) (pow b 7))) |
(* c (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -9/16 (/ (pow a 2) (* (pow b 5) c))))) |
(* c (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -9/16 (/ (pow a 2) (* (pow b 5) c))))) |
(* c (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -9/16 (/ (pow a 2) (* (pow b 5) c))))) |
(* -135/128 (/ (* (pow a 3) c) (pow b 7))) |
(* -1 (* c (+ (* 9/16 (/ (pow a 2) (* (pow b 5) c))) (* 135/128 (/ (pow a 3) (pow b 7)))))) |
(* -1 (* c (+ (* 9/16 (/ (pow a 2) (* (pow b 5) c))) (* 135/128 (/ (pow a 3) (pow b 7)))))) |
(* -1 (* c (+ (* 9/16 (/ (pow a 2) (* (pow b 5) c))) (* 135/128 (/ (pow a 3) (pow b 7)))))) |
(* -135/128 (/ (* (pow a 3) c) (pow b 7))) |
(/ (+ (* -135/128 (* (pow a 3) c)) (* -9/16 (* (pow a 2) (pow b 2)))) (pow b 7)) |
(/ (+ (* -135/128 (* (pow a 3) c)) (* -9/16 (* (pow a 2) (pow b 2)))) (pow b 7)) |
(/ (+ (* -135/128 (* (pow a 3) c)) (* -9/16 (* (pow a 2) (pow b 2)))) (pow b 7)) |
(* -9/16 (/ (pow a 2) (pow b 5))) |
(/ (+ (* -135/128 (/ (* (pow a 3) c) (pow b 2))) (* -9/16 (pow a 2))) (pow b 5)) |
(/ (+ (* -135/128 (/ (* (pow a 3) c) (pow b 2))) (* -9/16 (pow a 2))) (pow b 5)) |
(/ (+ (* -135/128 (/ (* (pow a 3) c) (pow b 2))) (* -9/16 (pow a 2))) (pow b 5)) |
(* -9/16 (/ (pow a 2) (pow b 5))) |
(* -1 (/ (+ (* 9/16 (pow a 2)) (* 135/128 (/ (* (pow a 3) c) (pow b 2)))) (pow b 5))) |
(* -1 (/ (+ (* 9/16 (pow a 2)) (* 135/128 (/ (* (pow a 3) c) (pow b 2)))) (pow b 5))) |
(* -1 (/ (+ (* 9/16 (pow a 2)) (* 135/128 (/ (* (pow a 3) c) (pow b 2)))) (pow b 5))) |
(* 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)) (* -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 (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))))))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 5)))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 3))))))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 5)))) (+ (* -1/2 (/ c (* (pow a 3) b))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 3)))))))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7))) |
(* -1 (* (pow a 3) (+ (* 9/16 (/ (pow c 3) (* a (pow b 5)))) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -3/8 (/ (pow c 2) (* a (pow b 3))))) a)) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5)))) a)) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7))) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* -9/16 (* (pow a 2) (* (pow b 2) (pow c 3))))) (pow b 7)) |
(/ (+ (* -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 7)) |
(/ (+ (* -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 7)) |
(* -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) |
(/ (+ (* -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)))))) b) |
(* -1/2 (/ c b)) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b)) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 1/2 c) (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b)) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 1/2 c) (+ (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (* 135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6)))))) b)) |
(* -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 (+ (* -135/128 (/ (* (pow a 3) c) (pow b 7))) (* -9/16 (/ (pow a 2) (pow b 5))))))) (* 1/2 (/ 1 b)))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -9/16 (/ (pow a 2) (* (pow b 5) c))))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (+ (* -9/16 (/ (pow a 2) (* (pow b 5) c))) (* -3/8 (/ a (* (pow b 3) (pow c 2))))))) |
(* (pow c 4) (- (+ (* -135/128 (/ (pow a 3) (pow b 7))) (+ (* -9/16 (/ (pow a 2) (* (pow b 5) c))) (* -3/8 (/ a (* (pow b 3) (pow c 2)))))) (* 1/2 (/ 1 (* b (pow c 3)))))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -9/16 (/ (pow a 2) (* (pow b 5) c))))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -1 (/ (+ (* 3/8 (/ a (* (pow b 3) c))) (* 9/16 (/ (pow a 2) (pow b 5)))) c)))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -1 (/ (+ (* -1 (/ (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* 9/16 (/ (pow a 2) (pow b 5)))) c)))) |
(* -3/8 (/ a (pow b 3))) |
(* a (- (* -9/16 (/ (* a c) (pow b 5))) (* 3/8 (/ 1 (pow b 3))))) |
(* a (- (* a (+ (* -135/128 (/ (* a (pow c 2)) (pow b 7))) (* -9/16 (/ c (pow b 5))))) (* 3/8 (/ 1 (pow b 3))))) |
(* a (- (* a (+ (* -135/128 (/ (* a (pow c 2)) (pow b 7))) (* -9/16 (/ c (pow b 5))))) (* 3/8 (/ 1 (pow b 3))))) |
(* -135/128 (/ (* (pow a 3) (pow c 2)) (pow b 7))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 2) (pow b 7))) (* -9/16 (/ c (* a (pow b 5)))))) |
(* (pow a 3) (- (+ (* -135/128 (/ (pow c 2) (pow b 7))) (* -9/16 (/ c (* a (pow b 5))))) (/ 3/8 (* (pow a 2) (pow b 3))))) |
(* (pow a 3) (- (+ (* -135/128 (/ (pow c 2) (pow b 7))) (* -9/16 (/ c (* a (pow b 5))))) (/ 3/8 (* (pow a 2) (pow b 3))))) |
(* -135/128 (/ (* (pow a 3) (pow c 2)) (pow b 7))) |
(* -1 (* (pow a 3) (+ (* 9/16 (/ c (* a (pow b 5)))) (* 135/128 (/ (pow c 2) (pow b 7)))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (- (* -9/16 (/ c (pow b 5))) (* 3/8 (/ 1 (* a (pow b 3))))) a)) (* 135/128 (/ (pow c 2) (pow b 7)))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (- (* -9/16 (/ c (pow b 5))) (* 3/8 (/ 1 (* a (pow b 3))))) a)) (* 135/128 (/ (pow c 2) (pow b 7)))))) |
(* -135/128 (/ (* (pow a 3) (pow c 2)) (pow b 7))) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 2))) (* -9/16 (* (pow a 2) (* (pow b 2) c)))) (pow b 7)) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 2))) (* (pow b 2) (+ (* -9/16 (* (pow a 2) c)) (* -3/8 (* a (pow b 2)))))) (pow b 7)) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 2))) (* (pow b 2) (+ (* -9/16 (* (pow a 2) c)) (* -3/8 (* a (pow b 2)))))) (pow b 7)) |
(* -3/8 (/ a (pow b 3))) |
(/ (+ (* -9/16 (/ (* (pow a 2) c) (pow b 2))) (* -3/8 a)) (pow b 3)) |
(/ (+ (* -135/128 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (+ (* -9/16 (/ (* (pow a 2) c) (pow b 2))) (* -3/8 a))) (pow b 3)) |
(/ (+ (* -135/128 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (+ (* -9/16 (/ (* (pow a 2) c) (pow b 2))) (* -3/8 a))) (pow b 3)) |
(* -3/8 (/ a (pow b 3))) |
(* -1 (/ (+ (* 3/8 a) (* 9/16 (/ (* (pow a 2) c) (pow b 2)))) (pow b 3))) |
(* -1 (/ (+ (* 3/8 a) (+ (* 9/16 (/ (* (pow a 2) c) (pow b 2))) (* 135/128 (/ (* (pow a 3) (pow c 2)) (pow b 4))))) (pow b 3))) |
(* -1 (/ (+ (* 3/8 a) (+ (* 9/16 (/ (* (pow a 2) c) (pow b 2))) (* 135/128 (/ (* (pow a 3) (pow c 2)) (pow b 4))))) (pow b 3))) |
(* -3/8 (/ a (pow b 3))) |
(+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3)))) |
(+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -135/128 (/ (* (pow a 3) c) (pow b 7))) (* -9/16 (/ (pow a 2) (pow b 5)))))) |
(+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -135/128 (/ (* (pow a 3) c) (pow b 7))) (* -9/16 (/ (pow a 2) (pow b 5)))))) |
(* -135/128 (/ (* (pow a 3) (pow c 2)) (pow b 7))) |
(* (pow c 2) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -9/16 (/ (pow a 2) (* (pow b 5) c))))) |
(* (pow c 2) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (+ (* -9/16 (/ (pow a 2) (* (pow b 5) c))) (* -3/8 (/ a (* (pow b 3) (pow c 2))))))) |
(* (pow c 2) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (+ (* -9/16 (/ (pow a 2) (* (pow b 5) c))) (* -3/8 (/ a (* (pow b 3) (pow c 2))))))) |
(* -135/128 (/ (* (pow a 3) (pow c 2)) (pow b 7))) |
(* (pow c 2) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -9/16 (/ (pow a 2) (* (pow b 5) c))))) |
(* (pow c 2) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -1 (/ (+ (* 3/8 (/ a (* (pow b 3) c))) (* 9/16 (/ (pow a 2) (pow b 5)))) c)))) |
(* (pow c 2) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -1 (/ (+ (* 3/8 (/ a (* (pow b 3) c))) (* 9/16 (/ (pow a 2) (pow b 5)))) 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))))))) |
(* -1/2 (/ 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) |
(* -1/2 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)))) |
(* -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)))) |
(* -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)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3))))) |
(* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3))))) |
(* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3))))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))))) |
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))))) |
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3)) |
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3)) |
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3)) |
(* -1/2 (/ c b)) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(* -1/2 (/ c b)) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b)) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b)) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b)) |
(* -3/8 (/ (* a (pow c 2)) (pow b 2))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 2))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 2))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 2))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 2))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 2))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 2))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 2))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 2))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 2))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 2))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 2))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 2))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 2))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 2))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 2))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 2))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 2))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 2))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 2))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 2))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 2))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 2))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 2))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 2))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 2))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 2))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 2))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 2))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 2))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 2))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 2))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 2))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 2))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 2))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 2))) |
(* -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 (* 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)) |
(* -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 (- (* 1/3 (- (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3))) (+ (* -3/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3))))))) (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (/ 1 (* a (pow (sqrt -3) 2)))))) |
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* b (+ (* b (- (+ (* 1/3 (- (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3))) (+ (* -3/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3))))))) (* b (+ (* -1/3 (+ (* (sqrt (/ 1 (* a c))) (/ (- (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3))) (+ (* -3/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))))) (sqrt -3))) (* 3/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -3) 4))))))) (* 1/3 (/ 1 (* (pow a 2) (* c (pow (sqrt -3) 2)))))))) (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (/ 1 (* a (pow (sqrt -3) 2)))))) |
(/ (- (* 1/3 (- (* -3/2 c) (* -3/8 c))) (* 1/8 c)) b) |
(/ (- (+ (* -1/3 (/ (+ (* -3/4 (* a (* c (- (* -3/2 c) (* -3/8 c))))) (* -9/32 (* a (pow c 2)))) (pow b 2))) (* 1/3 (- (* -3/2 c) (* -3/8 c)))) (+ (* 1/8 c) (* 3/16 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (- (+ (* -1/3 (/ (+ (* -3/4 (* a (* c (- (* -3/2 c) (* -3/8 c))))) (* -9/32 (* a (pow c 2)))) (pow b 2))) (+ (* -1/3 (/ (+ (* -9/16 (* (pow a 2) (* (pow c 2) (- (* -3/2 c) (* -3/8 c))))) (+ (* -27/64 (* (pow a 2) (pow c 3))) (* 3/4 (* a (* c (+ (* -3/4 (* a (* c (- (* -3/2 c) (* -3/8 c))))) (* -9/32 (* a (pow c 2))))))))) (pow b 4))) (* 1/3 (- (* -3/2 c) (* -3/8 c))))) (+ (* -1/3 (/ (+ (* -27/32 (* (pow a 2) (pow c 3))) (* -27/128 (* (pow a 2) (pow c 3)))) (pow b 4))) (+ (* 1/8 c) (* 3/16 (/ (* a (pow c 2)) (pow b 2)))))) b) |
(/ (- (+ (* -1/3 (/ (+ (* -27/32 (* (pow a 3) (* (pow c 3) (- (* -3/2 c) (* -3/8 c))))) (+ (* -1/8 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) a)) (+ (* 9/16 (* (pow a 2) (* (pow c 2) (+ (* -3/4 (* a (* c (- (* -3/2 c) (* -3/8 c))))) (* -9/32 (* a (pow c 2))))))) (* 3/4 (* a (* c (+ (* -9/16 (* (pow a 2) (* (pow c 2) (- (* -3/2 c) (* -3/8 c))))) (+ (* -27/64 (* (pow a 2) (pow c 3))) (* 3/4 (* a (* c (+ (* -3/4 (* a (* c (- (* -3/2 c) (* -3/8 c))))) (* -9/32 (* a (pow c 2))))))))))))))) (pow b 6))) (+ (* -1/3 (/ (+ (* -3/4 (* a (* c (- (* -3/2 c) (* -3/8 c))))) (* -9/32 (* a (pow c 2)))) (pow b 2))) (+ (* -1/3 (/ (+ (* -9/16 (* (pow a 2) (* (pow c 2) (- (* -3/2 c) (* -3/8 c))))) (+ (* -27/64 (* (pow a 2) (pow c 3))) (* 3/4 (* a (* c (+ (* -3/4 (* a (* c (- (* -3/2 c) (* -3/8 c))))) (* -9/32 (* a (pow c 2))))))))) (pow b 4))) (* 1/3 (- (* -3/2 c) (* -3/8 c)))))) (+ (* -1/3 (/ (+ (* -27/32 (* (pow a 2) (pow c 3))) (* -27/128 (* (pow a 2) (pow c 3)))) (pow b 4))) (+ (* -1/3 (/ (+ (* -81/128 (* (pow a 3) (pow c 4))) (+ (* -1/8 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) a)) (* 3/4 (* a (* c (+ (* -27/32 (* (pow a 2) (pow c 3))) (* -27/128 (* (pow a 2) (pow c 3))))))))) (pow b 6))) (+ (* 1/8 c) (* 3/16 (/ (* a (pow c 2)) (pow b 2))))))) b) |
(* -2/3 (/ b a)) |
(* -1 (* b (- (+ (* -1/3 (/ (+ (* -3/4 c) (* 15/8 c)) (pow b 2))) (* 2/3 (/ 1 a))) (* -1/3 (/ (+ (* -3/4 c) (* 3/8 c)) (pow b 2)))))) |
(* -1 (* b (- (+ (* -1/3 (/ (+ (* -3/4 c) (* 15/8 c)) (pow b 2))) (+ (* -1/3 (/ (+ (* -3/4 (* a (* c (+ (* -3/4 c) (* 15/8 c))))) (+ (* -2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 3) (pow c 2)))) (* 45/16 (* a (pow c 2))))) (pow b 4))) (* 2/3 (/ 1 a)))) (+ (* -1/3 (/ (+ (* -3/4 c) (* 3/8 c)) (pow b 2))) (* -1/3 (/ (+ (* -3/4 (* a (* c (+ (* -3/4 c) (* 3/8 c))))) (+ (* -2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 3) (pow c 2)))) (* 9/16 (* a (pow c 2))))) (pow b 4))))))) |
(* -1 (* b (- (+ (* -1/3 (/ (+ (* -9/8 (* (pow a 2) (* (pow c 2) (+ (* -3/4 c) (* 15/8 c))))) (+ (* -3/4 (* a (* c (+ (* -3/4 (* a (* c (+ (* -3/4 c) (* 15/8 c))))) (+ (* -2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 3) (pow c 2)))) (* 45/16 (* a (pow c 2)))))))) (+ (* -2/9 (/ (+ (* 3/2 (* a (* c (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4))))))) (* 243/64 (* (pow a 5) (pow c 5)))) (* (pow a 3) (pow c 2)))) (* 5/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c)))))) (pow b 6))) (+ (* -1/3 (/ (+ (* -3/4 c) (* 15/8 c)) (pow b 2))) (+ (* -1/3 (/ (+ (* -3/4 (* a (* c (+ (* -3/4 c) (* 15/8 c))))) (+ (* -2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 3) (pow c 2)))) (* 45/16 (* a (pow c 2))))) (pow b 4))) (* 2/3 (/ 1 a))))) (+ (* -1/3 (/ (+ (* -9/8 (* (pow a 2) (* (pow c 2) (+ (* -3/4 c) (* 3/8 c))))) (+ (* -3/4 (* a (* c (+ (* -3/4 (* a (* c (+ (* -3/4 c) (* 3/8 c))))) (+ (* -2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 3) (pow c 2)))) (* 9/16 (* a (pow c 2)))))))) (+ (* -2/9 (/ (+ (* 3/2 (* a (* c (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4))))))) (* 243/64 (* (pow a 5) (pow c 5)))) (* (pow a 3) (pow c 2)))) (* 1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c)))))) (pow b 6))) (+ (* -1/3 (/ (+ (* -3/4 c) (* 3/8 c)) (pow b 2))) (* -1/3 (/ (+ (* -3/4 (* a (* c (+ (* -3/4 c) (* 3/8 c))))) (+ (* -2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 3) (pow c 2)))) (* 9/16 (* a (pow c 2))))) (pow b 4)))))))) |
(- (* 1/3 (- (* -3/2 (/ c b)) (* -3/8 (/ c b)))) (* 1/8 (/ c b))) |
(- (+ (* 1/3 (- (* -3/2 (/ c b)) (* -3/8 (/ c b)))) (* a (- (* -1/3 (+ (* -3/4 (/ (* c (- (* -3/2 (/ c b)) (* -3/8 (/ c b)))) (pow b 2))) (* -9/32 (/ (pow c 2) (pow b 3))))) (* 3/16 (/ (pow c 2) (pow b 3)))))) (* 1/8 (/ c b))) |
(- (+ (* 1/3 (- (* -3/2 (/ c b)) (* -3/8 (/ c b)))) (* a (- (+ (* -1/3 (+ (* -3/4 (/ (* c (- (* -3/2 (/ c b)) (* -3/8 (/ c b)))) (pow b 2))) (* -9/32 (/ (pow c 2) (pow b 3))))) (* a (- (* -1/3 (+ (* -9/16 (/ (* (pow c 2) (- (* -3/2 (/ c b)) (* -3/8 (/ c b)))) (pow b 4))) (+ (* -27/64 (/ (pow c 3) (pow b 5))) (* 3/4 (/ (* c (+ (* -3/4 (/ (* c (- (* -3/2 (/ c b)) (* -3/8 (/ c b)))) (pow b 2))) (* -9/32 (/ (pow c 2) (pow b 3))))) (pow b 2)))))) (* -1/3 (+ (* -27/32 (/ (pow c 3) (pow b 5))) (* -27/128 (/ (pow c 3) (pow b 5)))))))) (* 3/16 (/ (pow c 2) (pow b 3)))))) (* 1/8 (/ c b))) |
(- (+ (* 1/3 (- (* -3/2 (/ c b)) (* -3/8 (/ c b)))) (* a (- (+ (* -1/3 (+ (* -3/4 (/ (* c (- (* -3/2 (/ c b)) (* -3/8 (/ c b)))) (pow b 2))) (* -9/32 (/ (pow c 2) (pow b 3))))) (* a (- (+ (* -1/3 (+ (* -9/16 (/ (* (pow c 2) (- (* -3/2 (/ c b)) (* -3/8 (/ c b)))) (pow b 4))) (+ (* -27/64 (/ (pow c 3) (pow b 5))) (* 3/4 (/ (* c (+ (* -3/4 (/ (* c (- (* -3/2 (/ c b)) (* -3/8 (/ c b)))) (pow b 2))) (* -9/32 (/ (pow c 2) (pow b 3))))) (pow b 2)))))) (* a (- (* -1/3 (+ (* -27/32 (/ (* (pow c 3) (- (* -3/2 (/ c b)) (* -3/8 (/ c b)))) (pow b 6))) (+ (* -1/8 (/ (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6)))) b)) (+ (* 9/16 (/ (* (pow c 2) (+ (* -3/4 (/ (* c (- (* -3/2 (/ c b)) (* -3/8 (/ c b)))) (pow b 2))) (* -9/32 (/ (pow c 2) (pow b 3))))) (pow b 4))) (* 3/4 (/ (* c (+ (* -9/16 (/ (* (pow c 2) (- (* -3/2 (/ c b)) (* -3/8 (/ c b)))) (pow b 4))) (+ (* -27/64 (/ (pow c 3) (pow b 5))) (* 3/4 (/ (* c (+ (* -3/4 (/ (* c (- (* -3/2 (/ c b)) (* -3/8 (/ c b)))) (pow b 2))) (* -9/32 (/ (pow c 2) (pow b 3))))) (pow b 2)))))) (pow b 2))))))) (* -1/3 (+ (* -81/128 (/ (pow c 4) (pow b 7))) (+ (* -1/8 (/ (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6)))) b)) (* 3/4 (/ (* c (+ (* -27/32 (/ (pow c 3) (pow b 5))) (* -27/128 (/ (pow c 3) (pow b 5))))) (pow b 2))))))))) (* -1/3 (+ (* -27/32 (/ (pow c 3) (pow b 5))) (* -27/128 (/ (pow c 3) (pow b 5)))))))) (* 3/16 (/ (pow c 2) (pow b 3)))))) (* 1/8 (/ c b))) |
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) |
(/ (- (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (* 1/3 (/ (- (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -3))) (* -3 (/ (* a b) (pow (sqrt -3) 2)))) a))) (* 1/3 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3))))) a) |
(/ (- (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1/3 (/ (+ (* -3/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ a c)) (/ (* b (- (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -3))) (* -3 (/ (* a b) (pow (sqrt -3) 2))))) (sqrt -3)))) (pow a 2))) (* 1/3 (/ (- (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -3))) (* -3 (/ (* a b) (pow (sqrt -3) 2)))) a)))) (+ (* -1/3 (/ (pow b 3) (* a (* c (pow (sqrt -3) 2))))) (* 1/3 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))))) a) |
(/ (- (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1/3 (/ (+ (* -3/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ a c)) (/ (* b (- (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -3))) (* -3 (/ (* a b) (pow (sqrt -3) 2))))) (sqrt -3)))) (pow a 2))) (+ (* -1/3 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -3/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ a c)) (/ (* b (- (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -3))) (* -3 (/ (* a b) (pow (sqrt -3) 2))))) (sqrt -3))))) (sqrt -3)))) (* 1/2 (/ (* a (* (pow b 2) (- (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -3))) (* -3 (/ (* a b) (pow (sqrt -3) 2)))))) (* c (pow (sqrt -3) 2))))) (pow a 3))) (* 1/3 (/ (- (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -3))) (* -3 (/ (* a b) (pow (sqrt -3) 2)))) a))))) (+ (* -1/3 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -3) 3))))) (pow a 3))) (+ (* -1/3 (/ (pow b 3) (* a (* c (pow (sqrt -3) 2))))) (* 1/3 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3))))))) a) |
(* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (- (* -1/3 (- (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))) (* -3 (/ (* a b) (pow (sqrt 3) 2))))) (* -1/3 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (- (+ (* -1 (/ (- (* 1/3 (+ (* 3/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ a c)) (/ (* b (* (sqrt -1) (- (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))) (* -3 (/ (* a b) (pow (sqrt 3) 2)))))) (sqrt 3))))) (* -1/3 (/ (* a (pow b 3)) (* c (pow (sqrt 3) 2))))) a)) (* -1/3 (- (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))) (* -3 (/ (* a b) (pow (sqrt 3) 2)))))) (* -1/3 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/3 (+ (* -1 (* (sqrt (/ a c)) (/ (* b (* (sqrt -1) (+ (* 3/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ a c)) (/ (* b (* (sqrt -1) (- (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))) (* -3 (/ (* a b) (pow (sqrt 3) 2)))))) (sqrt 3)))))) (sqrt 3)))) (* -1/2 (/ (* a (* (pow b 2) (- (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))) (* -3 (/ (* a b) (pow (sqrt 3) 2)))))) (* c (pow (sqrt 3) 2)))))) (* 1/3 (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))))) a)) (* 1/3 (+ (* 3/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ a c)) (/ (* b (* (sqrt -1) (- (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))) (* -3 (/ (* a b) (pow (sqrt 3) 2)))))) (sqrt 3)))))) (* -1/3 (/ (* a (pow b 3)) (* c (pow (sqrt 3) 2))))) a)) (* -1/3 (- (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))) (* -3 (/ (* a b) (pow (sqrt 3) 2)))))) (* -1/3 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) a)) |
(* -1/2 (/ c b)) |
(* c (- (* c (- (* -1/3 (+ (* -9/32 (/ a (pow b 3))) (* 27/32 (/ a (pow b 3))))) (* 3/16 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (- (+ (* -1/3 (+ (* -9/32 (/ a (pow b 3))) (* 27/32 (/ a (pow b 3))))) (* c (- (* -1/3 (+ (* -27/64 (/ (pow a 2) (pow b 5))) (+ (* 81/128 (/ (pow a 2) (pow b 5))) (* 3/4 (/ (* a (+ (* -9/32 (/ a (pow b 3))) (* 27/32 (/ a (pow b 3))))) (pow b 2)))))) (* -1/3 (+ (* -27/32 (/ (pow a 2) (pow b 5))) (* -27/128 (/ (pow a 2) (pow b 5)))))))) (* 3/16 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (- (+ (* -1/3 (+ (* -9/32 (/ a (pow b 3))) (* 27/32 (/ a (pow b 3))))) (* c (- (+ (* -1/3 (+ (* -27/64 (/ (pow a 2) (pow b 5))) (+ (* 81/128 (/ (pow a 2) (pow b 5))) (* 3/4 (/ (* a (+ (* -9/32 (/ a (pow b 3))) (* 27/32 (/ a (pow b 3))))) (pow b 2)))))) (* c (- (* -1/3 (+ (* -1/8 (/ (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6)))) (* a b))) (+ (* 9/16 (/ (* (pow a 2) (+ (* -9/32 (/ a (pow b 3))) (* 27/32 (/ a (pow b 3))))) (pow b 4))) (+ (* 3/4 (/ (* a (+ (* -27/64 (/ (pow a 2) (pow b 5))) (+ (* 81/128 (/ (pow a 2) (pow b 5))) (* 3/4 (/ (* a (+ (* -9/32 (/ a (pow b 3))) (* 27/32 (/ a (pow b 3))))) (pow b 2)))))) (pow b 2))) (* 243/256 (/ (pow a 3) (pow b 7))))))) (* -1/3 (+ (* -81/128 (/ (pow a 3) (pow b 7))) (+ (* -1/8 (/ (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6)))) (* a b))) (* 3/4 (/ (* a (+ (* -27/32 (/ (pow a 2) (pow b 5))) (* -27/128 (/ (pow a 2) (pow b 5))))) (pow b 2))))))))) (* -1/3 (+ (* -27/32 (/ (pow a 2) (pow b 5))) (* -27/128 (/ (pow a 2) (pow b 5)))))))) (* 3/16 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) |
(- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* 1/3 (/ (- (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -3))) (* -3 (/ (* b c) (* a (pow (sqrt -3) 2))))) c))) (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3))))) |
(- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (+ (* -1/3 (/ (+ (* -3/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ c a)) (/ (* b (- (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -3))) (* -3 (/ (* b c) (* a (pow (sqrt -3) 2)))))) (sqrt -3)))) (pow c 2))) (* 1/3 (/ (- (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -3))) (* -3 (/ (* b c) (* a (pow (sqrt -3) 2))))) c)))) (+ (* -1/3 (/ (pow b 3) (* (pow a 2) (* c (pow (sqrt -3) 2))))) (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))))) |
(- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (+ (* -1/3 (/ (+ (* -3/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ c a)) (/ (* b (- (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -3))) (* -3 (/ (* b c) (* a (pow (sqrt -3) 2)))))) (sqrt -3)))) (pow c 2))) (+ (* -1/3 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -3/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ c a)) (/ (* b (- (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -3))) (* -3 (/ (* b c) (* a (pow (sqrt -3) 2)))))) (sqrt -3))))) (sqrt -3)))) (* 1/2 (/ (* (pow b 2) (* c (- (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -3))) (* -3 (/ (* b c) (* a (pow (sqrt -3) 2))))))) (* a (pow (sqrt -3) 2))))) (pow c 3))) (* 1/3 (/ (- (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -3))) (* -3 (/ (* b c) (* a (pow (sqrt -3) 2))))) c))))) (+ (* -1/3 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 4) (pow (sqrt -3) 3))))) (pow c 3))) (+ (* -1/3 (/ (pow b 3) (* (pow a 2) (* c (pow (sqrt -3) 2))))) (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3))))))) |
(* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))) |
(+ (* -1 (/ (- (* 1/3 (- (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))) (* -3 (/ (* b c) (* a (pow (sqrt 3) 2)))))) (* 1/3 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) |
(+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/3 (+ (* 3/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ c a)) (/ (* b (* (sqrt -1) (- (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))) (* -3 (/ (* b c) (* a (pow (sqrt 3) 2))))))) (sqrt 3))))) (* 1/3 (/ (* (pow b 3) c) (* (pow a 2) (pow (sqrt 3) 2))))) c)) (* 1/3 (- (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))) (* -3 (/ (* b c) (* a (pow (sqrt 3) 2))))))) (* 1/3 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) |
(+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/3 (+ (* -1 (* (sqrt (/ c a)) (/ (* b (* (sqrt -1) (+ (* 3/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ c a)) (/ (* b (* (sqrt -1) (- (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))) (* -3 (/ (* b c) (* a (pow (sqrt 3) 2))))))) (sqrt 3)))))) (sqrt 3)))) (* -1/2 (/ (* (pow b 2) (* c (- (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))) (* -3 (/ (* b c) (* a (pow (sqrt 3) 2))))))) (* a (pow (sqrt 3) 2)))))) (* -1/3 (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))))) c)) (* -1/3 (+ (* 3/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ c a)) (/ (* b (* (sqrt -1) (- (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))) (* -3 (/ (* b c) (* a (pow (sqrt 3) 2))))))) (sqrt 3)))))) (* 1/3 (/ (* (pow b 3) c) (* (pow a 2) (pow (sqrt 3) 2))))) c)) (* 1/3 (- (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))) (* -3 (/ (* b c) (* a (pow (sqrt 3) 2))))))) (* 1/3 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) |
(* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3))) |
(+ (* -1 (/ b (* (pow a 2) (* c (pow (sqrt -3) 2))))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))) |
(+ (* b (- (* -1 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))))) (/ 1 (* (pow a 2) (* c (pow (sqrt -3) 2)))))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))) |
(+ (* b (- (* b (- (* b (- (* 1/2 (/ 1 (* (pow a 3) (* (pow c 2) (pow (sqrt -3) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))) (sqrt -3)))))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))))) (/ 1 (* (pow a 2) (* c (pow (sqrt -3) 2)))))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))) |
(/ 1/2 (* a b)) |
(/ (+ (* 3/8 (/ c (pow b 2))) (* 1/2 (/ 1 a))) b) |
(/ (- (+ (* 9/16 (/ (* a (pow c 2)) (pow b 4))) (* 1/2 (/ 1 a))) (* -3/8 (/ c (pow b 2)))) b) |
(/ (- (+ (* -1 (/ (+ (* -27/32 (* (pow a 2) (pow c 3))) (* -27/128 (* (pow a 2) (pow c 3)))) (pow b 6))) (* 1/2 (/ 1 a))) (+ (* -9/16 (/ (* a (pow c 2)) (pow b 4))) (* -3/8 (/ c (pow b 2))))) b) |
(* 2/3 (/ b (* (pow a 2) c))) |
(* -1 (* b (- (* 1/2 (/ 1 (* a (pow b 2)))) (* 2/3 (/ 1 (* (pow a 2) c)))))) |
(* -1 (* b (- (+ (* -1 (/ (+ (* -3/4 c) (* 3/8 c)) (pow b 4))) (/ 1/2 (* a (pow b 2)))) (* 2/3 (/ 1 (* (pow a 2) c)))))) |
(* -1 (* b (- (+ (* -1 (/ (+ (* -3/4 (* a (* c (+ (* -3/4 c) (* 3/8 c))))) (+ (* -2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 3) (pow c 2)))) (* 9/16 (* a (pow c 2))))) (pow b 6))) (/ 1/2 (* a (pow b 2)))) (+ (* -3/4 (/ c (pow b 4))) (+ (* 3/8 (/ c (pow b 4))) (* 2/3 (/ 1 (* (pow a 2) c)))))))) |
(/ 1/2 (* a b)) |
(/ (+ (* 3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))) a) |
(/ (+ (* a (- (* 9/16 (/ (* a (pow c 2)) (pow b 5))) (* -3/8 (/ c (pow b 3))))) (* 1/2 (/ 1 b))) a) |
(/ (+ (* a (- (* a (- (* -1 (* a (+ (* -27/32 (/ (pow c 3) (pow b 7))) (* -27/128 (/ (pow c 3) (pow b 7)))))) (* -9/16 (/ (pow c 2) (pow b 5))))) (* -3/8 (/ c (pow b 3))))) (* 1/2 (/ 1 b))) a) |
(* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3))) |
(/ (+ (* -1 (/ b (* c (pow (sqrt -3) 2)))) (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (pow a 2)) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (/ b (* c (pow (sqrt -3) 2)))) (pow a 2)) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -3) 4))))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (/ b (* c (pow (sqrt -3) 2)))))) (pow a 2)) |
(* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (sqrt -1) (sqrt 3)))) |
(/ (+ (* -1 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) (/ b (* c (pow (sqrt 3) 2)))) (pow a 2)) |
(/ (+ (* -1 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ (* a b) (* c (pow (sqrt 3) 2)))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a))) (pow a 2)) |
(/ (+ (* -1 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ (* a b) (* c (pow (sqrt 3) 2)))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt 3) 4))))) a)) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) a))) a))) (pow a 2)) |
(/ 1/2 (* a b)) |
(+ (* 3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b)))) |
(+ (* c (+ (* 9/16 (/ (* a c) (pow b 5))) (* 3/8 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (* a b)))) |
(+ (* c (+ (* c (- (* -1 (* c (+ (* -27/32 (/ (pow a 2) (pow b 7))) (* -27/128 (/ (pow a 2) (pow b 7)))))) (* -9/16 (/ a (pow b 5))))) (* 3/8 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (* a b)))) |
(* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3))) |
(/ (+ (* -1 (/ b (* (pow a 2) (pow (sqrt -3) 2)))) (* (sqrt (/ c (pow a 3))) (/ 1 (sqrt -3)))) c) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow c 2))) (* (sqrt (/ c (pow a 3))) (/ 1 (sqrt -3)))) (/ b (* (pow a 2) (pow (sqrt -3) 2)))) c) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (* -1/2 (/ (* (pow b 3) (pow c 2)) (* (pow a 3) (pow (sqrt -3) 4))))) (pow c 3))) (* (sqrt (/ c (pow a 3))) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (/ b (* (pow a 2) (pow (sqrt -3) 2)))))) c) |
(* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (sqrt -1) (sqrt 3)))) |
(* -1 (/ (+ (* -1 (/ b (* (pow a 2) (pow (sqrt 3) 2)))) (* (sqrt (/ c (pow a 3))) (/ (sqrt -1) (sqrt 3)))) c)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ c (pow a 5))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c (pow a 5))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) (* -1 (/ (* b c) (* (pow a 2) (pow (sqrt 3) 2))))) c)) (* (sqrt (/ c (pow a 3))) (/ (sqrt -1) (sqrt 3)))) c)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow b 3) c) (* (pow a 3) (pow (sqrt 3) 4))))) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) c)) (* -1 (/ (* b c) (* (pow a 2) (pow (sqrt 3) 2))))) c)) (* (sqrt (/ c (pow a 3))) (/ (sqrt -1) (sqrt 3)))) c)) |
(* -1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) |
(* (pow b 2) (- (* 1/3 (/ b (* (pow a 2) (* c (pow (sqrt -3) 2))))) (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) |
(* (pow b 2) (- (* b (+ (* 1/3 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))))) (* 1/3 (/ 1 (* (pow a 2) (* c (pow (sqrt -3) 2))))))) (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) |
(* (pow b 2) (- (* b (+ (* b (- (* -1/3 (* b (- (* 1/2 (/ 1 (* (pow a 3) (* (pow c 2) (pow (sqrt -3) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))) (sqrt -3))))))) (* -1/3 (+ (* -1 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))))))) (* 1/3 (/ 1 (* (pow a 2) (* c (pow (sqrt -3) 2))))))) (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) |
(* -1/6 (/ b a)) |
(* b (- (* -1/8 (/ c (pow b 2))) (* 1/6 (/ 1 a)))) |
(* b (- (* -3/16 (/ (* a (pow c 2)) (pow b 4))) (+ (* 1/8 (/ c (pow b 2))) (* 1/6 (/ 1 a))))) |
(* b (- (* 1/3 (/ (+ (* -27/32 (* (pow a 2) (pow c 3))) (* -27/128 (* (pow a 2) (pow c 3)))) (pow b 6))) (+ (* 1/8 (/ c (pow b 2))) (+ (* 1/6 (/ 1 a)) (* 3/16 (/ (* a (pow c 2)) (pow b 4))))))) |
(* -2/9 (/ (pow b 3) (* (pow a 2) c))) |
(* -1 (* (pow b 3) (- (* 2/9 (/ 1 (* (pow a 2) c))) (* 1/6 (/ 1 (* a (pow b 2))))))) |
(* -1 (* (pow b 3) (- (+ (* 1/3 (/ (+ (* -3/4 c) (* 3/8 c)) (pow b 4))) (* 2/9 (/ 1 (* (pow a 2) c)))) (/ 1/6 (* a (pow b 2)))))) |
(* -1 (* (pow b 3) (- (+ (* 1/3 (/ (+ (* -3/4 (* a (* c (+ (* -3/4 c) (* 3/8 c))))) (+ (* -2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 3) (pow c 2)))) (* 9/16 (* a (pow c 2))))) (pow b 6))) (* 2/9 (/ 1 (* (pow a 2) c)))) (+ (* -1/3 (/ (+ (* -3/4 c) (* 3/8 c)) (pow b 4))) (/ 1/6 (* a (pow b 2))))))) |
(* -1/6 (/ b a)) |
(/ (- (* -1/8 (/ (* a c) b)) (* 1/6 b)) a) |
(/ (- (* a (- (* -3/16 (/ (* a (pow c 2)) (pow b 3))) (* 1/8 (/ c b)))) (* 1/6 b)) a) |
(/ (- (* a (- (* a (- (* 1/3 (* a (+ (* -27/32 (/ (pow c 3) (pow b 5))) (* -27/128 (/ (pow c 3) (pow b 5)))))) (* 3/16 (/ (pow c 2) (pow b 3))))) (* 1/8 (/ c b)))) (* 1/6 b)) a) |
(* -1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) |
(/ (- (* 1/3 (/ (pow b 3) (* c (pow (sqrt -3) 2)))) (* 1/3 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -3))))) (pow a 2)) |
(/ (- (* 1/3 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -3) 3))))) (pow a 2))) (+ (* -1/3 (/ (pow b 3) (* c (pow (sqrt -3) 2)))) (* 1/3 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -3)))))) (pow a 2)) |
(/ (- (* 1/3 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -3) 3)))))) (sqrt -3)))) (* -1/2 (/ (* (pow a 2) (pow b 5)) (* (pow c 2) (pow (sqrt -3) 4))))) (pow a 3))) (+ (* -1/3 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -3) 3))))) (pow a 2))) (+ (* -1/3 (/ (pow b 3) (* c (pow (sqrt -3) 2)))) (* 1/3 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -3))))))) (pow a 2)) |
(* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) |
(/ (- (* -1/3 (/ (pow b 3) (* c (pow (sqrt 3) 2)))) (* -1/3 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) (pow a 2)) |
(/ (- (* -1 (/ (- (* 1/3 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* -1/3 (/ (* a (pow b 3)) (* c (pow (sqrt 3) 2))))) a)) (* -1/3 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) (pow a 2)) |
(/ (- (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow a 2) (pow b 5)) (* (pow c 2) (pow (sqrt 3) 4))))) a)) (* 1/3 (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))))) a)) (* -1/3 (/ (* a (pow b 3)) (* c (pow (sqrt 3) 2))))) a)) (* -1/3 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) (pow a 2)) |
(* -1/6 (/ b a)) |
(- (* -1/8 (/ c b)) (* 1/6 (/ b a))) |
(- (* c (- (* -3/16 (/ (* a c) (pow b 3))) (* 1/8 (/ 1 b)))) (* 1/6 (/ b a))) |
(- (* c (- (* c (- (* 1/3 (* c (+ (* -27/32 (/ (pow a 2) (pow b 5))) (* -27/128 (/ (pow a 2) (pow b 5)))))) (* 3/16 (/ a (pow b 3))))) (* 1/8 (/ 1 b)))) (* 1/6 (/ b a))) |
(* -1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) |
(/ (- (* 1/3 (/ (pow b 3) (* (pow a 2) (pow (sqrt -3) 2)))) (* 1/3 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -3))))) c) |
(/ (- (* 1/3 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 4) (pow (sqrt -3) 3))))) (pow c 2))) (+ (* -1/3 (/ (pow b 3) (* (pow a 2) (pow (sqrt -3) 2)))) (* 1/3 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -3)))))) c) |
(/ (- (* 1/3 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 4) (pow (sqrt -3) 3)))))) (sqrt -3)))) (* -1/2 (/ (* (pow b 5) (pow c 2)) (* (pow a 3) (pow (sqrt -3) 4))))) (pow c 3))) (+ (* -1/3 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 4) (pow (sqrt -3) 3))))) (pow c 2))) (+ (* -1/3 (/ (pow b 3) (* (pow a 2) (pow (sqrt -3) 2)))) (* 1/3 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -3))))))) c) |
(* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) |
(* -1 (/ (- (* 1/3 (/ (pow b 3) (* (pow a 2) (pow (sqrt 3) 2)))) (* 1/3 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) |
(* -1 (/ (- (* -1 (/ (- (* -1/3 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) c)) (* 1/3 (/ (* (pow b 3) c) (* (pow a 2) (pow (sqrt 3) 2))))) c)) (* 1/3 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/3 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow b 5) (pow c 2)) (* (pow a 3) (pow (sqrt 3) 4))))) c)) (* -1/3 (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))))) c)) (* 1/3 (/ (* (pow b 3) c) (* (pow a 2) (pow (sqrt 3) 2))))) c)) (* 1/3 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) |
(* -1 (* a c)) |
(+ (* -1 (* a c)) (* 1/3 (pow b 2))) |
(+ (* -1 (* a c)) (* 1/3 (pow b 2))) |
(+ (* -1 (* a c)) (* 1/3 (pow b 2))) |
(* 1/3 (pow b 2)) |
(* (pow b 2) (+ 1/3 (* -1 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1/3 (* -1 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1/3 (* -1 (/ (* a c) (pow b 2))))) |
(* 1/3 (pow b 2)) |
(* (pow b 2) (+ 1/3 (* -1 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1/3 (* -1 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1/3 (* -1 (/ (* a c) (pow b 2))))) |
(* 1/3 (pow b 2)) |
(+ (* -1 (* a c)) (* 1/3 (pow b 2))) |
(+ (* -1 (* a c)) (* 1/3 (pow b 2))) |
(+ (* -1 (* a c)) (* 1/3 (pow b 2))) |
(* -1 (* a c)) |
(* a (+ (* -1 c) (* 1/3 (/ (pow b 2) a)))) |
(* a (+ (* -1 c) (* 1/3 (/ (pow b 2) a)))) |
(* a (+ (* -1 c) (* 1/3 (/ (pow b 2) a)))) |
(* -1 (* a c)) |
(* -1 (* a (+ c (* -1/3 (/ (pow b 2) a))))) |
(* -1 (* a (+ c (* -1/3 (/ (pow b 2) a))))) |
(* -1 (* a (+ c (* -1/3 (/ (pow b 2) a))))) |
(* 1/3 (pow b 2)) |
(+ (* -1 (* a c)) (* 1/3 (pow b 2))) |
(+ (* -1 (* a c)) (* 1/3 (pow b 2))) |
(+ (* -1 (* a c)) (* 1/3 (pow b 2))) |
(* -1 (* a c)) |
(* c (+ (* -1 a) (* 1/3 (/ (pow b 2) c)))) |
(* c (+ (* -1 a) (* 1/3 (/ (pow b 2) c)))) |
(* c (+ (* -1 a) (* 1/3 (/ (pow b 2) c)))) |
(* -1 (* a c)) |
(* -1 (* c (+ a (* -1/3 (/ (pow b 2) c))))) |
(* -1 (* c (+ a (* -1/3 (/ (pow b 2) c))))) |
(* -1 (* c (+ a (* -1/3 (/ (pow b 2) c))))) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(* -9/16 (/ (pow a 2) (pow b 5))) |
(* -9/16 (/ (pow a 2) (pow b 5))) |
(* -9/16 (/ (pow a 2) (pow b 5))) |
(* -9/16 (/ (pow a 2) (pow b 5))) |
(* -9/16 (/ (pow a 2) (pow b 5))) |
(* -9/16 (/ (pow a 2) (pow b 5))) |
(* -9/16 (/ (pow a 2) (pow b 5))) |
(* -9/16 (/ (pow a 2) (pow b 5))) |
(* -9/16 (/ (pow a 2) (pow b 5))) |
(* -9/16 (/ (pow a 2) (pow b 5))) |
(* -9/16 (/ (pow a 2) (pow b 5))) |
(* -9/16 (/ (pow a 2) (pow b 5))) |
(* -9/16 (/ (pow a 2) (pow b 5))) |
(* -9/16 (/ (pow a 2) (pow b 5))) |
(* -9/16 (/ (pow a 2) (pow b 5))) |
(* -9/16 (/ (pow a 2) (pow b 5))) |
(* -9/16 (/ (pow a 2) (pow b 5))) |
(* -9/16 (/ (pow a 2) (pow b 5))) |
(* -9/16 (/ (pow a 2) (pow b 5))) |
(* -9/16 (/ (pow a 2) (pow b 5))) |
(* -9/16 (/ (pow a 2) (pow b 5))) |
(* -9/16 (/ (pow a 2) (pow b 5))) |
(* -9/16 (/ (pow a 2) (pow b 5))) |
(* -9/16 (/ (pow a 2) (pow b 5))) |
(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
(* -3/8 (* a (pow c 2))) |
(* -3/8 (* a (pow c 2))) |
(* -3/8 (* a (pow c 2))) |
(* -3/8 (* a (pow c 2))) |
(* -3/8 (* a (pow c 2))) |
(* -3/8 (* a (pow c 2))) |
(* -3/8 (* a (pow c 2))) |
(* -3/8 (* a (pow c 2))) |
(* -3/8 (* a (pow c 2))) |
(* -3/8 (* a (pow c 2))) |
(* -3/8 (* a (pow c 2))) |
(* -3/8 (* a (pow c 2))) |
(* -3/8 (* a (pow c 2))) |
(* -3/8 (* a (pow c 2))) |
(* -3/8 (* a (pow c 2))) |
(* -3/8 (* a (pow c 2))) |
(* -3/8 (* a (pow c 2))) |
(* -3/8 (* a (pow c 2))) |
(* -3/8 (* a (pow c 2))) |
(* -3/8 (* a (pow c 2))) |
(* -3/8 (* a (pow c 2))) |
(* -3/8 (* a (pow c 2))) |
(* -3/8 (* a (pow c 2))) |
(* -3/8 (* a (pow c 2))) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* 6 (* a b)) |
(* a (+ (* -9/2 (/ (* a c) b)) (* 6 b))) |
(* a (+ (* 6 b) (* a (+ (* -9/2 (/ c b)) (* -27/8 (/ (* a (pow c 2)) (pow b 3))))))) |
(* a (+ (* 6 b) (* a (+ (* -9/2 (/ c b)) (* a (+ (* -81/16 (/ (* a (pow c 3)) (pow b 5))) (* -27/8 (/ (pow c 2) (pow b 3))))))))) |
(* 3 (* (sqrt (* (pow a 3) c)) (sqrt -3))) |
(* (pow a 2) (+ (* 3 (* (sqrt (/ c a)) (sqrt -3))) (* 3 (/ b a)))) |
(* (pow a 2) (+ (* 3/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* 3 (* (sqrt (/ c a)) (sqrt -3))) (* 3 (/ b a))))) |
(* (pow a 2) (+ (* -3/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 3/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* 3 (* (sqrt (/ c a)) (sqrt -3))) (* 3 (/ b a)))))) |
(* -3 (* (sqrt (* (pow a 3) c)) (* (sqrt -1) (sqrt 3)))) |
(* (pow a 2) (+ (* -3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* 3 (/ b a)))) |
(* (pow a 2) (+ (* -3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -3 b) (* 3/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)))) |
(* (pow a 2) (+ (* -3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -3 b) (* -1 (/ (+ (* -3/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 3/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a)))) |
(* 3 (* (sqrt (* (pow a 3) c)) (sqrt -3))) |
(+ (* 3 (* a b)) (* 3 (* (sqrt (* (pow a 3) c)) (sqrt -3)))) |
(+ (* 3 (* (sqrt (* (pow a 3) c)) (sqrt -3))) (* b (+ (* 3/2 (* (sqrt (/ a c)) (/ b (sqrt -3)))) (* 3 a)))) |
(+ (* 3 (* (sqrt (* (pow a 3) c)) (sqrt -3))) (* b (+ (* 3 a) (* b (+ (* -3/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ a c)) (/ 1 (sqrt -3))))))))) |
(* 6 (* a b)) |
(* b (+ (* -9/2 (/ (* (pow a 2) c) (pow b 2))) (* 6 a))) |
(* b (+ (* -9/2 (/ (* (pow a 2) c) (pow b 2))) (+ (* -27/8 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 6 a)))) |
(* b (+ (* -81/16 (/ (* (pow a 4) (pow c 3)) (pow b 6))) (+ (* -9/2 (/ (* (pow a 2) c) (pow b 2))) (+ (* -27/8 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 6 a))))) |
(* 9/2 (/ (* (pow a 2) c) b)) |
(* -1 (/ (+ (* -9/2 (* (pow a 2) c)) (* -27/8 (/ (* (pow a 3) (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ (* -81/16 (/ (* (pow a 4) (pow c 3)) (pow b 4))) (+ (* -9/2 (* (pow a 2) c)) (* -27/8 (/ (* (pow a 3) (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (+ (* -81/16 (/ (* (pow a 4) (pow c 3)) (pow b 4))) (+ (* -9/2 (* (pow a 2) c)) (+ (* -27/8 (/ (* (pow a 3) (pow c 2)) (pow b 2))) (* -3/2 (/ (* a (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4))))) (pow b 6)))))) b)) |
(* 6 (* a b)) |
(+ (* -9/2 (/ (* (pow a 2) c) b)) (* 6 (* a b))) |
(+ (* 6 (* a b)) (* c (+ (* -9/2 (/ (pow a 2) b)) (* -27/8 (/ (* (pow a 3) c) (pow b 3)))))) |
(+ (* 6 (* a b)) (* c (+ (* -9/2 (/ (pow a 2) b)) (* c (+ (* -81/16 (/ (* (pow a 4) c) (pow b 5))) (* -27/8 (/ (pow a 3) (pow b 3)))))))) |
(* 3 (* (sqrt (* (pow a 3) c)) (sqrt -3))) |
(* c (+ (* 3 (* (sqrt (/ (pow a 3) c)) (sqrt -3))) (* 3 (/ (* a b) c)))) |
(* c (+ (* 3/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -3)))) (+ (* 3 (* (sqrt (/ (pow a 3) c)) (sqrt -3))) (* 3 (/ (* a b) c))))) |
(* c (+ (* -3/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 3/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -3)))) (+ (* 3 (* (sqrt (/ (pow a 3) c)) (sqrt -3))) (* 3 (/ (* a b) c)))))) |
(* -3 (* (sqrt (* (pow a 3) c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* -3 (/ (* a b) c)) (* 3 (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -3/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 3 (* a b))) c)) (* 3 (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -3/8 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (* a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 3 (* a b))) c)) (* 3 (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 3))))))) |
(* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) |
(* (pow b 2) (+ (* -1/3 (/ b (* (pow a 2) (* c (pow (sqrt -3) 2))))) (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) |
(* (pow b 2) (+ (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))) (* b (- (* -1/3 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))))) (* 1/3 (/ 1 (* (pow a 2) (* c (pow (sqrt -3) 2))))))))) |
(* (pow b 2) (+ (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))) (* b (- (* b (+ (* -1/3 (+ (* -1 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))))) (* 1/3 (* b (- (* 1/2 (/ 1 (* (pow a 3) (* (pow c 2) (pow (sqrt -3) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))) (sqrt -3))))))))) (* 1/3 (/ 1 (* (pow a 2) (* c (pow (sqrt -3) 2))))))))) |
(* 1/6 (/ b a)) |
(* b (+ (* 1/8 (/ c (pow b 2))) (* 1/6 (/ 1 a)))) |
(* b (- (+ (* 3/16 (/ (* a (pow c 2)) (pow b 4))) (* 1/6 (/ 1 a))) (* -1/8 (/ c (pow b 2))))) |
(* b (- (+ (* -1 (/ (+ (* -9/32 (* (pow a 2) (pow c 3))) (* -9/128 (* (pow a 2) (pow c 3)))) (pow b 6))) (* 1/6 (/ 1 a))) (+ (* -3/16 (/ (* a (pow c 2)) (pow b 4))) (* -1/8 (/ c (pow b 2)))))) |
(* 2/9 (/ (pow b 3) (* (pow a 2) c))) |
(* -1 (* (pow b 3) (- (* 1/6 (/ 1 (* a (pow b 2)))) (* 2/9 (/ 1 (* (pow a 2) c)))))) |
(* -1 (* (pow b 3) (- (+ (* -1 (/ (+ (* -1/4 c) (* 1/8 c)) (pow b 4))) (/ 1/6 (* a (pow b 2)))) (* 2/9 (/ 1 (* (pow a 2) c)))))) |
(* -1 (* (pow b 3) (- (+ (* -1 (/ (+ (* -3/4 (* a (* c (+ (* -1/4 c) (* 1/8 c))))) (+ (* -2/27 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 3) (pow c 2)))) (* 3/16 (* a (pow c 2))))) (pow b 6))) (/ 1/6 (* a (pow b 2)))) (+ (* -1/4 (/ c (pow b 4))) (+ (* 1/8 (/ c (pow b 4))) (* 2/9 (/ 1 (* (pow a 2) c)))))))) |
(* 1/6 (/ b a)) |
(/ (+ (* 1/8 (/ (* a c) b)) (* 1/6 b)) a) |
(/ (+ (* 1/6 b) (* a (+ (* 1/8 (/ c b)) (* 3/16 (/ (* a (pow c 2)) (pow b 3)))))) a) |
(/ (+ (* 1/6 b) (* a (+ (* 1/8 (/ c b)) (* a (+ (* -1/3 (* a (+ (* -27/32 (/ (pow c 3) (pow b 5))) (* -27/128 (/ (pow c 3) (pow b 5)))))) (* 3/16 (/ (pow c 2) (pow b 3)))))))) a) |
(* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) |
(/ (+ (* -1/3 (/ (pow b 3) (* c (pow (sqrt -3) 2)))) (* 1/3 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -3))))) (pow a 2)) |
(/ (+ (* -1/3 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -3) 3))))) (pow a 2))) (+ (* -1/3 (/ (pow b 3) (* c (pow (sqrt -3) 2)))) (* 1/3 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -3)))))) (pow a 2)) |
(/ (+ (* -1/3 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -3) 3)))))) (sqrt -3)))) (* -1/2 (/ (* (pow a 2) (pow b 5)) (* (pow c 2) (pow (sqrt -3) 4))))) (pow a 3))) (+ (* -1/3 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 4) (pow (sqrt -3) 3))))) (pow a 2))) (+ (* -1/3 (/ (pow b 3) (* c (pow (sqrt -3) 2)))) (* 1/3 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -3))))))) (pow a 2)) |
(* -1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) |
(/ (+ (* -1/3 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (/ (pow b 3) (* c (pow (sqrt 3) 2))))) (pow a 2)) |
(/ (+ (* -1 (/ (+ (* -1/3 (/ (* a (pow b 3)) (* c (pow (sqrt 3) 2)))) (* -1/3 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a)) (* -1/3 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) (pow a 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow a 2) (pow b 5)) (* (pow c 2) (pow (sqrt 3) 4))))) a)) (* 1/3 (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))))) a)) (* -1/3 (/ (* a (pow b 3)) (* c (pow (sqrt 3) 2))))) a)) (* -1/3 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) (pow a 2)) |
(* 1/6 (/ b a)) |
(+ (* 1/8 (/ c b)) (* 1/6 (/ b a))) |
(+ (* 1/6 (/ b a)) (* c (+ (* 3/16 (/ (* a c) (pow b 3))) (* 1/8 (/ 1 b))))) |
(+ (* 1/6 (/ b a)) (* c (+ (* c (+ (* -1/3 (* c (+ (* -27/32 (/ (pow a 2) (pow b 5))) (* -27/128 (/ (pow a 2) (pow b 5)))))) (* 3/16 (/ a (pow b 3))))) (* 1/8 (/ 1 b))))) |
(* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) |
(/ (+ (* -1/3 (/ (pow b 3) (* (pow a 2) (pow (sqrt -3) 2)))) (* 1/3 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -3))))) c) |
(/ (+ (* -1/3 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 4) (pow (sqrt -3) 3))))) (pow c 2))) (+ (* -1/3 (/ (pow b 3) (* (pow a 2) (pow (sqrt -3) 2)))) (* 1/3 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -3)))))) c) |
(/ (+ (* -1/3 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 4) (pow (sqrt -3) 3)))))) (sqrt -3)))) (* -1/2 (/ (* (pow b 5) (pow c 2)) (* (pow a 3) (pow (sqrt -3) 4))))) (pow c 3))) (+ (* -1/3 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 4) (pow (sqrt -3) 3))))) (pow c 2))) (+ (* -1/3 (/ (pow b 3) (* (pow a 2) (pow (sqrt -3) 2)))) (* 1/3 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -3))))))) c) |
(* -1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) |
(* -1 (/ (+ (* -1/3 (/ (pow b 3) (* (pow a 2) (pow (sqrt 3) 2)))) (* 1/3 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) |
(* -1 (/ (+ (* -1 (/ (+ (* 1/3 (/ (* (pow b 3) c) (* (pow a 2) (pow (sqrt 3) 2)))) (* 1/3 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) c))) c)) (* 1/3 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))))) (* 1/3 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow b 5) (pow c 2)) (* (pow a 3) (pow (sqrt 3) 4))))) c))) c)) (* 1/3 (/ (* (pow b 3) c) (* (pow a 2) (pow (sqrt 3) 2))))) c)) (* 1/3 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) |
| Outputs |
|---|
(* -9/16 (/ (pow a 2) (pow b 5))) |
(/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))) |
(* (pow a 2) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5))))) |
(*.f64 (*.f64 a a) (fma.f64 #s(literal -135/128 binary64) (*.f64 a (/.f64 c (pow.f64 b #s(literal 7 binary64)))) (neg.f64 (/.f64 #s(literal 9/16 binary64) (pow.f64 b #s(literal 5 binary64)))))) |
(* (pow a 2) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5))))) |
(*.f64 (*.f64 a a) (fma.f64 #s(literal -135/128 binary64) (*.f64 a (/.f64 c (pow.f64 b #s(literal 7 binary64)))) (neg.f64 (/.f64 #s(literal 9/16 binary64) (pow.f64 b #s(literal 5 binary64)))))) |
(* (pow a 2) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5))))) |
(*.f64 (*.f64 a a) (fma.f64 #s(literal -135/128 binary64) (*.f64 a (/.f64 c (pow.f64 b #s(literal 7 binary64)))) (neg.f64 (/.f64 #s(literal 9/16 binary64) (pow.f64 b #s(literal 5 binary64)))))) |
(* -135/128 (/ (* (pow a 3) c) (pow b 7))) |
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(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
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(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
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(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
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(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
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(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
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(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
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(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
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(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
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(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
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(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
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(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
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(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
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(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
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(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
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(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
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(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
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(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
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(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
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(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
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(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
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(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
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(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
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(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
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(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
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(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
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(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
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(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
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(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
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(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
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(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
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(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
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(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
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(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
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(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 a (*.f64 a a)) c)) (pow.f64 b #s(literal 7 binary64))) |
(* 405/64 (/ (* (pow a 3) c) (pow b 7))) |
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(/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -3 binary64)))) #s(literal -1/2 binary64)) (*.f64 c c)) (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 c (*.f64 a (*.f64 a a)))) (*.f64 b b)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) #s(literal -3 binary64))))) c) |
(/ (+ (* -1/3 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 4) (pow (sqrt -3) 3)))))) (sqrt -3)))) (* -1/2 (/ (* (pow b 5) (pow c 2)) (* (pow a 3) (pow (sqrt -3) 4))))) (pow c 3))) (+ (* -1/3 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 4) (pow (sqrt -3) 3))))) (pow c 2))) (+ (* -1/3 (/ (pow b 3) (* (pow a 2) (pow (sqrt -3) 2)))) (* 1/3 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -3))))))) c) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 c a))) (/.f64 (*.f64 b (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -3 binary64)))) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 b #s(literal 5 binary64)) (*.f64 c c))) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 4 binary64))))) (*.f64 c (*.f64 c c))) (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -3 binary64)))) #s(literal -1/2 binary64)) (*.f64 c c)) (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 c (*.f64 a (*.f64 a a)))) (*.f64 b b)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) #s(literal -3 binary64)))))) c) |
(* -1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) |
(*.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) c))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64)))) |
(* -1 (/ (+ (* -1/3 (/ (pow b 3) (* (pow a 2) (pow (sqrt 3) 2)))) (* 1/3 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) |
(neg.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c (*.f64 a (*.f64 a a)))) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))) (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) #s(literal 3 binary64)))) c)) |
(* -1 (/ (+ (* -1 (/ (+ (* 1/3 (/ (* (pow b 3) c) (* (pow a 2) (pow (sqrt 3) 2)))) (* 1/3 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) c))) c)) (* 1/3 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) |
(neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c (*.f64 a (*.f64 a a)))) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 c (*.f64 (*.f64 a a) #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64)))) (/.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))))) #s(literal -1/2 binary64)) c))) c)) c)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))))) (* 1/3 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow b 5) (pow c 2)) (* (pow a 3) (pow (sqrt 3) 4))))) c))) c)) (* 1/3 (/ (* (pow b 3) c) (* (pow a 2) (pow (sqrt 3) 2))))) c)) (* 1/3 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) |
(neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c (*.f64 a (*.f64 a a)))) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b (*.f64 b b)) c)) (*.f64 (*.f64 a a) #s(literal 3 binary64))) (/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 c a))) (/.f64 (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64)))) (/.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))))) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 b #s(literal 5 binary64)) (*.f64 c c))) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 4 binary64))))) c) (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64)))) (/.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))))) #s(literal -1/2 binary64)))) c)) c)) c)) |
| 1× | batch-egg-rewrite |
| 5 536× | lower-*.f32 |
| 5 494× | lower-*.f64 |
| 3 834× | lower-fma.f32 |
| 3 822× | lower-fma.f64 |
| 2 946× | lower-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 75 | 616 |
| 0 | 125 | 541 |
| 1 | 555 | 478 |
| 2 | 5795 | 468 |
| 0 | 9130 | 468 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))) (*.f64 c c) (/.f64 c (*.f64 b #s(literal -2 binary64))))) |
(fma.f64 (fma.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))) (*.f64 c c) (/.f64 c (*.f64 b #s(literal -2 binary64)))) |
(fma.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -1/2 binary64) b) c)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) b) c) |
(/.f64 #s(literal -1/2 binary64) b) |
(fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) |
#s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b)) |
(/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b) |
(/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b)) |
(-.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 b b)) |
(/.f64 (-.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 b b)) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) |
(fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) |
(*.f64 #s(literal -3 binary64) (*.f64 a c)) |
(fma.f64 (/.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))) a) (neg.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))) a) |
(neg.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))))) |
(/.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) #s(literal 3 binary64)) |
(*.f64 (*.f64 a a) (*.f64 a a)) |
(/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) |
(/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) |
(*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) |
(*.f64 a (*.f64 c c)) |
(*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))) |
(/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) |
| Outputs |
|---|
(+.f64 (/.f64 (*.f64 a (*.f64 a #s(literal -9/16 binary64))) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 #s(literal 405/64 binary64) c) #s(literal -1/6 binary64))) (*.f64 b (*.f64 a (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))))) |
(+.f64 (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 #s(literal 405/64 binary64) c) #s(literal -1/6 binary64))) (*.f64 b (*.f64 a (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) (/.f64 (*.f64 a (*.f64 a #s(literal -9/16 binary64))) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))) |
(+.f64 (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 #s(literal 405/64 binary64) c) #s(literal -1/6 binary64))) (*.f64 b (*.f64 a (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) (*.f64 (neg.f64 (*.f64 a a)) (/.f64 #s(literal -9/16 binary64) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))))) |
(+.f64 (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 #s(literal 405/64 binary64) c) #s(literal -1/6 binary64))) (*.f64 b (*.f64 a (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) (*.f64 (neg.f64 (/.f64 (*.f64 a a) (*.f64 b b))) (/.f64 #s(literal -9/16 binary64) (*.f64 b (*.f64 b b))))) |
(-.f64 (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 #s(literal 405/64 binary64) c) #s(literal -1/6 binary64))) (*.f64 b (*.f64 a (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) (/.f64 (*.f64 a (*.f64 a #s(literal -9/16 binary64))) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 #s(literal 405/64 binary64) c) #s(literal -1/6 binary64))) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 #s(literal 405/64 binary64) c) #s(literal -1/6 binary64)))) (*.f64 (*.f64 b (*.f64 a (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (*.f64 b (*.f64 a (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))))) (fma.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (/.f64 (*.f64 #s(literal 405/64 binary64) c) (*.f64 b (*.f64 a (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) #s(literal -1/6 binary64)) (/.f64 (*.f64 a (*.f64 a #s(literal -9/16 binary64))) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))))) (/.f64 (/.f64 (*.f64 (*.f64 a (*.f64 a #s(literal -9/16 binary64))) (*.f64 a (*.f64 a #s(literal -9/16 binary64)))) (*.f64 (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))) (fma.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (/.f64 (*.f64 #s(literal 405/64 binary64) c) (*.f64 b (*.f64 a (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) #s(literal -1/6 binary64)) (/.f64 (*.f64 a (*.f64 a #s(literal -9/16 binary64))) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))))) |
(fma.f64 a (*.f64 a (/.f64 #s(literal -9/16 binary64) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 #s(literal 405/64 binary64) c) #s(literal -1/6 binary64))) (*.f64 b (*.f64 a (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))))) |
(fma.f64 a (*.f64 (*.f64 a #s(literal -9/16 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 #s(literal 405/64 binary64) c) #s(literal -1/6 binary64))) (*.f64 b (*.f64 a (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))))) |
(fma.f64 a (/.f64 (*.f64 a #s(literal -9/16 binary64)) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 #s(literal 405/64 binary64) c) #s(literal -1/6 binary64))) (*.f64 b (*.f64 a (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))))) |
(fma.f64 (*.f64 a a) (/.f64 #s(literal -9/16 binary64) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 #s(literal 405/64 binary64) c) #s(literal -1/6 binary64))) (*.f64 b (*.f64 a (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))))) |
(fma.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (/.f64 (*.f64 #s(literal 405/64 binary64) c) (*.f64 b (*.f64 a (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) #s(literal -1/6 binary64)) (/.f64 (*.f64 a (*.f64 a #s(literal -9/16 binary64))) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))) |
(fma.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (/.f64 (*.f64 #s(literal 405/64 binary64) c) (*.f64 b (*.f64 a (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) #s(literal -1/6 binary64)) (*.f64 (neg.f64 (*.f64 a a)) (/.f64 #s(literal -9/16 binary64) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))))) |
(fma.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (/.f64 (*.f64 #s(literal 405/64 binary64) c) (*.f64 b (*.f64 a (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) #s(literal -1/6 binary64)) (*.f64 (neg.f64 (/.f64 (*.f64 a a) (*.f64 b b))) (/.f64 #s(literal -9/16 binary64) (*.f64 b (*.f64 b b))))) |
(fma.f64 (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 #s(literal 405/64 binary64) c)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 a (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) #s(literal -1/6 binary64)) (/.f64 (*.f64 a (*.f64 a #s(literal -9/16 binary64))) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))) |
(fma.f64 (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 #s(literal 405/64 binary64) c)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 a (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) #s(literal -1/6 binary64)) (*.f64 (neg.f64 (*.f64 a a)) (/.f64 #s(literal -9/16 binary64) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))))) |
(fma.f64 (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 #s(literal 405/64 binary64) c)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 a (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) #s(literal -1/6 binary64)) (*.f64 (neg.f64 (/.f64 (*.f64 a a) (*.f64 b b))) (/.f64 #s(literal -9/16 binary64) (*.f64 b (*.f64 b b))))) |
(fma.f64 (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 #s(literal 405/64 binary64) c)))) (/.f64 #s(literal -1/6 binary64) (*.f64 b (*.f64 a (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) (/.f64 (*.f64 a (*.f64 a #s(literal -9/16 binary64))) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))) |
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(-.f64 (fma.f64 (/.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)) (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))))) #s(literal 1/3 binary64) #s(literal 0 binary64)) (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))))) |
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(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 b (/.f64 b (*.f64 a #s(literal 3 binary64))))) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))) |
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(pow.f64 (neg.f64 (/.f64 (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 b b))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 a #s(literal -3 binary64))) (*.f64 b b)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))) (neg.f64 (*.f64 b b))) #s(literal -1 binary64)) |
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(*.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))))) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))))) |
(*.f64 (neg.f64 (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))))) |
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(neg.f64 (/.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)) #s(literal -3 binary64))) |
(/.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)) #s(literal 3 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))) |
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(/.f64 (neg.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) #s(literal -3 binary64)) |
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(/.f64 (*.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)) (fma.f64 a (*.f64 #s(literal 3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) (fma.f64 a (*.f64 #s(literal 3 binary64) c) (*.f64 b b)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))) #s(literal 3 binary64)) |
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(/.f64 (*.f64 (*.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)) (fma.f64 a (*.f64 #s(literal 3 binary64) c) (*.f64 b b))) #s(literal 1/3 binary64)) (fma.f64 a (*.f64 #s(literal 3 binary64) c) (*.f64 b b))) |
(pow.f64 (/.f64 #s(literal 3 binary64) (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 3 binary64) (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)) #s(literal 1/3 binary64))) |
(*.f64 (neg.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) #s(literal -1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) |
(exp.f64 (*.f64 (log.f64 (*.f64 a a)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 a) #s(literal 4 binary64))) |
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 a) (log.f64 (*.f64 a a)))) |
(pow.f64 a #s(literal 4 binary64)) |
(pow.f64 (*.f64 a a) #s(literal 2 binary64)) |
(pow.f64 (*.f64 a (*.f64 a (*.f64 a a))) #s(literal 1 binary64)) |
(*.f64 a (*.f64 a (*.f64 a a))) |
(*.f64 (*.f64 a a) (*.f64 a a)) |
(*.f64 (*.f64 a (*.f64 a a)) a) |
(exp.f64 (*.f64 (log.f64 (*.f64 b (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a #s(literal -9/16 binary64)))))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (*.f64 a (*.f64 a #s(literal -9/16 binary64))) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))) |
(/.f64 (*.f64 a (*.f64 a #s(literal -9/16 binary64))) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))) |
(/.f64 #s(literal 1 binary64) (*.f64 b (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a #s(literal -9/16 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a #s(literal -9/16 binary64))))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a #s(literal -9/16 binary64))) (*.f64 b b)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 b (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a #s(literal -9/16 binary64))))))) |
(/.f64 (*.f64 (*.f64 a a) #s(literal 9/16 binary64)) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))) |
(/.f64 (/.f64 (*.f64 a (*.f64 a #s(literal -9/16 binary64))) (*.f64 b b)) (*.f64 b (*.f64 b b))) |
(/.f64 (*.f64 (*.f64 a (*.f64 a #s(literal -9/16 binary64))) #s(literal 1 binary64)) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))) |
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(/.f64 (neg.f64 (/.f64 (*.f64 a (*.f64 a #s(literal -9/16 binary64))) (*.f64 b b))) (*.f64 b (*.f64 b b))) |
(/.f64 (*.f64 (/.f64 (*.f64 a a) (*.f64 b b)) #s(literal -9/16 binary64)) (*.f64 b (*.f64 b b))) |
(/.f64 (*.f64 (*.f64 a a) (/.f64 #s(literal -9/16 binary64) (*.f64 b (*.f64 b b)))) (*.f64 b b)) |
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(/.f64 (/.f64 (/.f64 (*.f64 a (*.f64 a #s(literal -9/16 binary64))) (*.f64 b b)) (*.f64 b b)) b) |
(pow.f64 (*.f64 b (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a #s(literal -9/16 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 b (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a #s(literal -9/16 binary64))))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
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(*.f64 a (*.f64 a (/.f64 #s(literal -9/16 binary64) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))))) |
(*.f64 a (*.f64 (*.f64 a #s(literal -9/16 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))))) |
(*.f64 a (/.f64 (*.f64 a #s(literal -9/16 binary64)) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))) |
(*.f64 (*.f64 a a) (/.f64 #s(literal -9/16 binary64) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))) |
(*.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a a) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))) |
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(*.f64 (/.f64 #s(literal -9/16 binary64) (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 a a)) |
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(*.f64 (/.f64 #s(literal -9/16 binary64) (*.f64 b b)) (/.f64 (*.f64 a a) (*.f64 b (*.f64 b b)))) |
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(/.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (neg.f64 (*.f64 #s(literal 405/64 binary64) c))) (neg.f64 (*.f64 b (*.f64 a (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))))) |
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(/.f64 (neg.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (neg.f64 (*.f64 #s(literal 405/64 binary64) c)))) (neg.f64 (neg.f64 (*.f64 b (*.f64 a (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))))) |
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(/.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 #s(literal 405/64 binary64) c)))) (*.f64 a (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) b) |
(/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 #s(literal 405/64 binary64) c)))) #s(literal 1 binary64)) (*.f64 b (*.f64 a (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) |
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(pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))) (*.f64 b b)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 b (/.f64 b (*.f64 a #s(literal 3 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 b b)) (*.f64 a #s(literal 3 binary64))) #s(literal -1 binary64)) |
(*.f64 b (/.f64 b (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))))) |
(*.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))))) |
(*.f64 (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))) (/.f64 #s(literal 1/3 binary64) a)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))))) |
(*.f64 (neg.f64 (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 a #s(literal -3 binary64))))) |
(*.f64 (/.f64 b (*.f64 a #s(literal 3 binary64))) (/.f64 b (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))))) (*.f64 b b)) |
(*.f64 (*.f64 b (/.f64 b (*.f64 a #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))))) |
(*.f64 (/.f64 b (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))))) b) |
(*.f64 (/.f64 b (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))) (/.f64 b (*.f64 a #s(literal 3 binary64)))) |
(*.f64 (/.f64 b a) (/.f64 (/.f64 b (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))) #s(literal 3 binary64))) |
(*.f64 (/.f64 b a) (/.f64 b (*.f64 #s(literal 3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))))) |
(*.f64 (/.f64 b #s(literal 3 binary64)) (/.f64 (/.f64 b (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))) a)) |
(*.f64 (/.f64 (*.f64 b b) a) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))) #s(literal 3 binary64))) |
(*.f64 (/.f64 (*.f64 b b) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))))) |
(*.f64 (/.f64 (*.f64 b (/.f64 b (*.f64 a #s(literal 3 binary64)))) (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))))) (-.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (fma.f64 b b (*.f64 b b))) (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))))) |
(*.f64 (/.f64 (*.f64 b (/.f64 b (*.f64 a #s(literal 3 binary64)))) (-.f64 (*.f64 b b) (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))) |
Compiled 114 731 to 5 761 computations (95% saved)
26 alts after pruning (23 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 302 | 11 | 2 313 |
| Fresh | 21 | 12 | 33 |
| Picked | 4 | 1 | 5 |
| Done | 1 | 2 | 3 |
| Total | 2 328 | 26 | 2 354 |
| Status | Accuracy | Program |
|---|---|---|
| 99.2% | (/.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (-.f64 (*.f64 b b) (*.f64 b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) | |
| ▶ | 99.4% | (/.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (-.f64 (*.f64 b b) (*.f64 b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) |
| 19.8% | (/.f64 (fma.f64 (sqrt.f64 (*.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) (fma.f64 a (*.f64 #s(literal 3 binary64) c) (*.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)) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) | |
| 18.1% | (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) a) #s(literal 3 binary64)) | |
| 18.1% | (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) (*.f64 a #s(literal 3 binary64))) | |
| ▶ | 18.1% | (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) a) |
| 89.7% | (/.f64 #s(approx (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 99.2% | (/.f64 #s(approx (- (+ (* b b) (* -3 (* a c))) (* b b)) (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) | |
| 18.1% | (/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)))) | |
| 18.8% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))))) (-.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)) (*.f64 b b))) | |
| 18.1% | (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64))) | |
| 18.1% | (*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) | |
| ▶ | 18.1% | (*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))) |
| ▶ | 95.7% | #s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b))) b)) |
| 95.4% | #s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (*.f64 (*.f64 c c) (-.f64 (*.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) c)))) b)) | |
| 95.8% | #s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)))) b)) | |
| 95.5% | #s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (*.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) b))) | |
| 95.3% | #s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) #s(approx (/ (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) b) (*.f64 (*.f64 c c) (-.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) (*.f64 b c)))))) | |
| 97.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* a (/ -3/8 (* b (* b b)))) (* c (+ (* (/ (* (* (* a a) (* a a)) (* 405/64 c)) (* (* b (* (* b b) (* b (* b b)))) (* a b))) -1/6) (/ (* (* a a) -9/16) (* (* b b) (* b (* b b))))))) (/.f64 (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 (*.f64 a a) c) (*.f64 b b)) (*.f64 #s(literal -3/8 binary64) a)) (*.f64 b (*.f64 b b)))) (*.f64 c c) (/.f64 c (*.f64 b #s(literal -2 binary64))))) | |
| ✓ | 95.5% | #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))))) |
| 90.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (/.f64 c b)))) | |
| ▶ | 89.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
| 97.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 c (fma.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))) (/.f64 #s(literal -1/2 binary64) b)) c)) | |
| ✓ | 90.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -1/2 binary64) b) c)) |
| 95.5% | #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)))) | |
| ✓ | 90.3% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
Compiled 1 160 to 667 computations (42.5% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b))) |
| ✓ | cost-diff | 0 | (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b))) b) |
| ✓ | cost-diff | 0 | #s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b))) b)) |
| ✓ | cost-diff | 320 | (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) |
| ✓ | cost-diff | 0 | (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) |
| ✓ | cost-diff | 0 | (*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))) |
| ✓ | cost-diff | 128 | (neg.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)) |
| ✓ | cost-diff | 320 | (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64))) |
| ✓ | cost-diff | 0 | (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) |
| ✓ | cost-diff | 0 | (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) |
| ✓ | cost-diff | 0 | (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) a) |
| ✓ | 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 a #s(literal -3 binary64)) |
| ✓ | cost-diff | 64 | (fma.f64 (*.f64 a #s(literal -3 binary64)) c (-.f64 (*.f64 b b) (*.f64 b b))) |
| ✓ | cost-diff | 832 | (-.f64 (*.f64 b b) (*.f64 b b)) |
| ✓ | cost-diff | 1152 | (/.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (-.f64 (*.f64 b b) (*.f64 b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) |
| 6 188× | lower-fma.f32 |
| 6 182× | lower-fma.f64 |
| 3 840× | lower-*.f32 |
| 3 816× | lower-*.f64 |
| 2 142× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 504 |
| 0 | 93 | 487 |
| 1 | 203 | 455 |
| 2 | 441 | 445 |
| 3 | 1372 | 429 |
| 4 | 4439 | 429 |
| 0 | 8484 | 421 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (-.f64 (*.f64 b b) (*.f64 b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) |
(fma.f64 (*.f64 a #s(literal -3 binary64)) c (-.f64 (*.f64 b b) (*.f64 b b))) |
(*.f64 a #s(literal -3 binary64)) |
a |
#s(literal -3 binary64) |
c |
(-.f64 (*.f64 b b) (*.f64 b b)) |
(*.f64 b b) |
b |
(*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))) |
(*.f64 a #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))) |
(sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) |
(fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) |
(*.f64 #s(literal -3 binary64) (*.f64 a c)) |
(*.f64 a c) |
#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 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) a) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) |
(-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) |
(sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) |
(fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) |
b |
(*.f64 #s(literal -3 binary64) (*.f64 a c)) |
#s(literal -3 binary64) |
(*.f64 a c) |
a |
c |
#s(literal 1/3 binary64) |
(*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))) |
(neg.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)) |
(-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) |
(sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) |
(fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) |
b |
(*.f64 #s(literal -3 binary64) (*.f64 a c)) |
#s(literal -3 binary64) |
(*.f64 a c) |
a |
c |
(/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64))) |
#s(literal 1 binary64) |
(*.f64 a #s(literal -3 binary64)) |
#s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b))) b)) |
(/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b))) b) |
#s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b))) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) |
#s(literal -1/2 binary64) |
(*.f64 (*.f64 b b) c) |
(*.f64 b b) |
b |
c |
(*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) |
#s(literal -3/8 binary64) |
(*.f64 a (*.f64 c c)) |
a |
(*.f64 c c) |
| Outputs |
|---|
(/.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (-.f64 (*.f64 b b) (*.f64 b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) |
(/.f64 c (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) |
(fma.f64 (*.f64 a #s(literal -3 binary64)) c (-.f64 (*.f64 b b) (*.f64 b b))) |
(*.f64 a (*.f64 #s(literal -3 binary64) c)) |
(*.f64 a #s(literal -3 binary64)) |
a |
#s(literal -3 binary64) |
c |
(-.f64 (*.f64 b b) (*.f64 b b)) |
#s(literal 0 binary64) |
(*.f64 b b) |
b |
(*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))) |
(*.f64 a (*.f64 #s(literal 3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) |
(*.f64 a #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))) |
(+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) |
(sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) |
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) |
(fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) |
(fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) |
(*.f64 #s(literal -3 binary64) (*.f64 a c)) |
(*.f64 a (*.f64 #s(literal -3 binary64) c)) |
(*.f64 a c) |
#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 (*.f64 c #s(literal -1/2 binary64)) b)) |
(/.f64 #s(literal -1/2 binary64) (/.f64 b c)) |
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b) |
#s(literal -1/2 binary64) |
(/.f64 b c) |
b |
c |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) a) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) b) #s(literal 1/3 binary64)) |
(-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) |
(-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) |
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) |
(fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) |
(fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) |
b |
(*.f64 #s(literal -3 binary64) (*.f64 a c)) |
(*.f64 a (*.f64 #s(literal -3 binary64) c)) |
#s(literal -3 binary64) |
(*.f64 a c) |
a |
c |
#s(literal 1/3 binary64) |
(*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) |
(neg.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)) |
(-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) |
(-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) |
(-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) |
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) |
(fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) |
(fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) |
b |
(*.f64 #s(literal -3 binary64) (*.f64 a c)) |
(*.f64 a (*.f64 #s(literal -3 binary64) c)) |
#s(literal -3 binary64) |
(*.f64 a c) |
a |
c |
(/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64))) |
(/.f64 #s(literal -1/3 binary64) a) |
#s(literal 1 binary64) |
(*.f64 a #s(literal -3 binary64)) |
#s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b))) b)) |
#s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 (*.f64 c (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) (*.f64 (*.f64 a c) #s(literal -3/8 binary64)))) (*.f64 b b))) b)) |
(/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b))) b) |
(/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 (*.f64 c (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) (*.f64 (*.f64 a c) #s(literal -3/8 binary64)))) (*.f64 b b))) b) |
#s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b))) |
#s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 (*.f64 c (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) (*.f64 (*.f64 a c) #s(literal -3/8 binary64)))) (*.f64 b b))) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b)) |
(/.f64 (*.f64 c (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) (*.f64 (*.f64 a c) #s(literal -3/8 binary64)))) (*.f64 b b)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) |
(*.f64 c (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) (*.f64 (*.f64 a c) #s(literal -3/8 binary64)))) |
#s(literal -1/2 binary64) |
(*.f64 (*.f64 b b) c) |
(*.f64 c (*.f64 b b)) |
(*.f64 b b) |
b |
c |
(*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) |
(*.f64 a (*.f64 #s(literal -3/8 binary64) (*.f64 c c))) |
#s(literal -3/8 binary64) |
(*.f64 a (*.f64 c c)) |
a |
(*.f64 c c) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (*.f64 a (*.f64 c c)) |
| ✓ | accuracy | 99.9% | (*.f64 (*.f64 b b) c) |
| ✓ | accuracy | 99.9% | (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b)) |
| ✓ | accuracy | 95.8% | #s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b))) b)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) |
| ✓ | accuracy | 99.9% | (*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))) |
| ✓ | accuracy | 99.9% | (*.f64 #s(literal -3 binary64) (*.f64 a c)) |
| ✓ | accuracy | 94.3% | (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) |
| ✓ | accuracy | 99.9% | (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) a) |
| ✓ | accuracy | 99.9% | (*.f64 #s(literal -3 binary64) (*.f64 a c)) |
| ✓ | accuracy | 99.9% | (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) |
| ✓ | accuracy | 94.3% | (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) |
| ✓ | accuracy | 100.0% | (/.f64 b c) |
| ✓ | accuracy | 99.9% | (/.f64 #s(literal -1/2 binary64) (/.f64 b c)) |
| ✓ | accuracy | 91.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
| ✓ | accuracy | 99.9% | (fma.f64 (*.f64 a #s(literal -3 binary64)) c (-.f64 (*.f64 b b) (*.f64 b b))) |
| ✓ | accuracy | 99.9% | (/.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (-.f64 (*.f64 b b) (*.f64 b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) |
| ✓ | accuracy | 99.9% | (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))) |
| ✓ | accuracy | 99.9% | (*.f64 #s(literal -3 binary64) (*.f64 a c)) |
| 107.0ms | 207× | 1 | exit |
| 18.0ms | 49× | 0 | valid |
Compiled 444 to 59 computations (86.7% saved)
ival-mult: 32.0ms (33.8% of total)adjust: 20.0ms (21.1% of total)ival-div: 17.0ms (18% of total)ival-add: 9.0ms (9.5% of total)ival-sqrt: 5.0ms (5.3% of total)ival-sub: 4.0ms (4.2% of total)const: 4.0ms (4.2% of total)ival-neg: 2.0ms (2.1% of total)exact: 1.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (-.f64 (*.f64 b b) (*.f64 b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) (patch (/.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (-.f64 (*.f64 b b) (*.f64 b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 b b) (*.f64 b b)) (patch (-.f64 (*.f64 b b) (*.f64 b b)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 a #s(literal -3 binary64)) c (-.f64 (*.f64 b b) (*.f64 b b))) (patch (fma.f64 (*.f64 a #s(literal -3 binary64)) c (-.f64 (*.f64 b b) (*.f64 b b))) #<representation binary64>) () ()) |
#s(alt (*.f64 a #s(literal -3 binary64)) (patch (*.f64 a #s(literal -3 binary64)) #<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 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) a) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) (patch (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) (patch (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64))) #<representation binary64>) () ()) |
#s(alt (neg.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)) (patch (neg.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))) (patch (*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (patch (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b))) b)) (patch #s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b))) b)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b))) b) (patch (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b))) b) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b))) (patch #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b))) #<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 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))) (patch (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b)) (patch (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 b b) c) (patch (*.f64 (*.f64 b b) c) #<representation binary64>) () ()) |
#s(alt (*.f64 a (*.f64 c c)) (patch (*.f64 a (*.f64 c c)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1/2 (/ c b)) (taylor 0 a) (#s(alt (/.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (-.f64 (*.f64 b b) (*.f64 b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) (patch (/.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (-.f64 (*.f64 b b) (*.f64 b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) (taylor 0 a) (#s(alt (/.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (-.f64 (*.f64 b b) (*.f64 b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) (patch (/.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (-.f64 (*.f64 b b) (*.f64 b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) #<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 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (-.f64 (*.f64 b b) (*.f64 b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) (patch (/.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (-.f64 (*.f64 b b) (*.f64 b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) #<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 (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ()) |
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#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 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (taylor inf c) (#s(alt (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 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 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 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 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 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 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (taylor -inf c) (#s(alt (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) a) #<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 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) a) #<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 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) a) #<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 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (taylor 0 b) (#s(alt (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/3 b) (* 1/3 (* (sqrt (* a c)) (sqrt -3)))) (taylor 0 b) (#s(alt (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1/3))) (taylor 0 b) (#s(alt (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 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))) (taylor 0 b) (#s(alt (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ (* a c) b)) (taylor inf b) (#s(alt (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) (taylor inf b) (#s(alt (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -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) (taylor inf b) (#s(alt (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -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) (taylor inf b) (#s(alt (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -2/3 b) (taylor -inf b) (#s(alt (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ 2/3 (* -1/2 (/ (* a c) (pow b 2)))))) (taylor -inf b) (#s(alt (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ 2/3 (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) (taylor -inf b) (#s(alt (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -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)))))))) (taylor -inf b) (#s(alt (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ (* a c) b)) (taylor 0 a) (#s(alt (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))) (taylor 0 a) (#s(alt (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -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 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (taylor inf a) (#s(alt (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) (taylor inf a) (#s(alt (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 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)))))) (taylor inf a) (#s(alt (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) (taylor -inf a) (#s(alt (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b a))))) (taylor -inf a) (#s(alt (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1/2 (/ (* a c) b)) (taylor 0 c) (#s(alt (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/2 (/ a b)) (* -3/8 (/ (* (pow a 2) c) (pow b 3))))) (taylor 0 c) (#s(alt (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/2 (/ a b)) (* c (+ (* -9/16 (/ (* (pow a 3) c) (pow b 5))) (* -3/8 (/ (pow a 2) (pow b 3))))))) (taylor 0 c) (#s(alt (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 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)))))))) (taylor 0 c) (#s(alt (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (taylor inf c) (#s(alt (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (* 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)))))) (taylor inf c) (#s(alt (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (taylor 0 a) (#s(alt (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (patch (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (taylor 0 a) (#s(alt (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (patch (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -3/8 (* a (pow c 2))) (taylor inf a) (#s(alt (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (patch (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -1/2 (/ (* (pow b 2) c) a)) (* -3/8 (pow c 2)))) (taylor inf a) (#s(alt (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (patch (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) #<representation binary64>) () ())) ()) |
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#s(alt (* a (+ (* -1/2 (/ (* (pow b 2) c) a)) (* -3/8 (pow c 2)))) (taylor inf a) (#s(alt (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (patch (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* a (+ (* 3/8 (pow c 2)) (* 1/2 (/ (* (pow b 2) c) a))))) (taylor -inf a) (#s(alt (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (patch (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* 3/8 (pow c 2)) (* 1/2 (/ (* (pow b 2) c) a))))) (taylor -inf a) (#s(alt (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (patch (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* 3/8 (pow c 2)) (* 1/2 (/ (* (pow b 2) c) a))))) (taylor -inf a) (#s(alt (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (patch (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) #<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 #s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b))) b)) (patch #s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b))) b)) #<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 #s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b))) b)) (patch #s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b))) b)) #<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))) (* a (+ (* -27/32 (/ (pow c 4) (pow b 7))) (* -27/128 (/ (pow c 4) (pow b 7)))))))))) (taylor 0 a) (#s(alt #s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b))) b)) (patch #s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b))) b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (taylor inf a) (#s(alt #s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b))) b)) (patch #s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b))) b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (/ b (pow (sqrt -3) 2))) a) (taylor inf a) (#s(alt #s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b))) b)) (patch #s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b))) b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -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) (taylor inf a) (#s(alt #s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b))) b)) (patch #s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b))) b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -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) (taylor inf a) (#s(alt #s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b))) b)) (patch #s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b))) b)) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))) (taylor -inf a) (#s(alt #s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b))) b)) (patch #s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b))) b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (/ b (pow (sqrt 3) 2))) a)) (taylor -inf a) (#s(alt #s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b))) b)) (patch #s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b))) b)) #<representation binary64>) () ())) ()) |
#s(alt (* -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)) (taylor -inf a) (#s(alt #s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b))) b)) (patch #s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b))) b)) #<representation binary64>) () ())) ()) |
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#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b))) b) (patch (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b))) b) (patch (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b))) b) (patch (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) (taylor inf c) (#s(alt (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b))) b) (patch (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) (taylor inf c) (#s(alt (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b))) b) (patch (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) (taylor inf c) (#s(alt (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b))) b) (patch (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -3/8 (/ (* a (pow c 2)) (pow b 3))) (taylor -inf c) (#s(alt (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b))) b) (patch (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) (taylor -inf c) (#s(alt (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b))) b) (patch (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) (taylor -inf c) (#s(alt (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b))) b) (patch (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) (taylor -inf c) (#s(alt (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b))) b) (patch (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ c b)) (taylor 0 a) (#s(alt (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b))) b) (patch (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) (taylor 0 a) (#s(alt (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b))) b) (patch (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow b 2) c) (taylor -inf c) (#s(alt (*.f64 (*.f64 b b) c) (patch (*.f64 (*.f64 b b) c) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) c) (taylor -inf c) (#s(alt (*.f64 (*.f64 b b) c) (patch (*.f64 (*.f64 b b) c) #<representation binary64>) () ())) ()) |
#s(alt (* (pow b 2) c) (taylor -inf c) (#s(alt (*.f64 (*.f64 b b) c) (patch (*.f64 (*.f64 b b) c) #<representation binary64>) () ())) ()) |
#s(alt (* a (pow c 2)) (taylor 0 a) (#s(alt (*.f64 a (*.f64 c c)) (patch (*.f64 a (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (* a (pow c 2)) (taylor 0 a) (#s(alt (*.f64 a (*.f64 c c)) (patch (*.f64 a (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (* a (pow c 2)) (taylor 0 a) (#s(alt (*.f64 a (*.f64 c c)) (patch (*.f64 a (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (* a (pow c 2)) (taylor 0 a) (#s(alt (*.f64 a (*.f64 c c)) (patch (*.f64 a (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (* a (pow c 2)) (taylor inf a) (#s(alt (*.f64 a (*.f64 c c)) (patch (*.f64 a (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (* a (pow c 2)) (taylor inf a) (#s(alt (*.f64 a (*.f64 c c)) (patch (*.f64 a (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (* a (pow c 2)) (taylor inf a) (#s(alt (*.f64 a (*.f64 c c)) (patch (*.f64 a (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (* a (pow c 2)) (taylor inf a) (#s(alt (*.f64 a (*.f64 c c)) (patch (*.f64 a (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (* a (pow c 2)) (taylor -inf a) (#s(alt (*.f64 a (*.f64 c c)) (patch (*.f64 a (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (* a (pow c 2)) (taylor -inf a) (#s(alt (*.f64 a (*.f64 c c)) (patch (*.f64 a (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (* a (pow c 2)) (taylor -inf a) (#s(alt (*.f64 a (*.f64 c c)) (patch (*.f64 a (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (* a (pow c 2)) (taylor -inf a) (#s(alt (*.f64 a (*.f64 c c)) (patch (*.f64 a (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (* a (pow c 2)) (taylor 0 c) (#s(alt (*.f64 a (*.f64 c c)) (patch (*.f64 a (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (* a (pow c 2)) (taylor 0 c) (#s(alt (*.f64 a (*.f64 c c)) (patch (*.f64 a (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (* a (pow c 2)) (taylor 0 c) (#s(alt (*.f64 a (*.f64 c c)) (patch (*.f64 a (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (* a (pow c 2)) (taylor 0 c) (#s(alt (*.f64 a (*.f64 c c)) (patch (*.f64 a (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (* a (pow c 2)) (taylor inf c) (#s(alt (*.f64 a (*.f64 c c)) (patch (*.f64 a (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (* a (pow c 2)) (taylor inf c) (#s(alt (*.f64 a (*.f64 c c)) (patch (*.f64 a (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (* a (pow c 2)) (taylor inf c) (#s(alt (*.f64 a (*.f64 c c)) (patch (*.f64 a (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (* a (pow c 2)) (taylor inf c) (#s(alt (*.f64 a (*.f64 c c)) (patch (*.f64 a (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (* a (pow c 2)) (taylor -inf c) (#s(alt (*.f64 a (*.f64 c c)) (patch (*.f64 a (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (* a (pow c 2)) (taylor -inf c) (#s(alt (*.f64 a (*.f64 c c)) (patch (*.f64 a (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (* a (pow c 2)) (taylor -inf c) (#s(alt (*.f64 a (*.f64 c c)) (patch (*.f64 a (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (* a (pow c 2)) (taylor -inf c) (#s(alt (*.f64 a (*.f64 c c)) (patch (*.f64 a (*.f64 c c)) #<representation binary64>) () ())) ()) |
174 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | c | @ | inf | (+ (* -1/2 (* (* b b) c)) (* -3/8 (* a (* c c)))) |
| 0.0ms | c | @ | inf | (neg (- (sqrt (+ (* b b) (* -3 (* a c)))) b)) |
| 0.0ms | b | @ | inf | (* (- (sqrt (+ (* b b) (* -3 (* a c)))) b) 1/3) |
| 0.0ms | a | @ | -inf | (* (- (sqrt (+ (* b b) (* -3 (* a c)))) b) 1/3) |
| 0.0ms | a | @ | 0 | (/ (+ (* -1/2 (* (* b b) c)) (* -3/8 (* a (* c c)))) (* b b)) |
| 1× | egg-herbie |
| 7 882× | lower-*.f64 |
| 7 882× | lower-*.f32 |
| 7 106× | lower-fma.f64 |
| 7 106× | lower-fma.f32 |
| 4 940× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1262 | 13672 |
| 1 | 4219 | 13397 |
| 0 | 8446 | 12843 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -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)))) |
(* -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)))))))))) |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
(* -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) |
(* -3 a) |
(* -3 a) |
(* -3 a) |
(* -3 a) |
(* -3 a) |
(* -3 a) |
(* -3 a) |
(* -3 a) |
(* -3 a) |
(* -3 a) |
(* -3 a) |
(* -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) |
(* 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))))))) |
(* (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)))))) |
(* (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)))))))) |
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)))))))) |
(/ -1/3 a) |
(/ -1/3 a) |
(/ -1/3 a) |
(/ -1/3 a) |
(/ -1/3 a) |
(/ -1/3 a) |
(/ -1/3 a) |
(/ -1/3 a) |
(/ -1/3 a) |
(/ -1/3 a) |
(/ -1/3 a) |
(/ -1/3 a) |
(* -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)))))) |
(* 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))))))) |
(* -3/8 (* a (pow c 2))) |
(+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) |
(+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) |
(+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) |
(* -1/2 (* (pow b 2) c)) |
(* (pow b 2) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) |
(* (pow b 2) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) |
(* (pow b 2) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) |
(* -1/2 (* (pow b 2) c)) |
(* (pow b 2) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) |
(* (pow b 2) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) |
(* (pow b 2) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) |
(* -1/2 (* (pow b 2) c)) |
(* c (+ (* -1/2 (pow b 2)) (* -3/8 (* a c)))) |
(* c (+ (* -1/2 (pow b 2)) (* -3/8 (* a c)))) |
(* c (+ (* -1/2 (pow b 2)) (* -3/8 (* a c)))) |
(* -3/8 (* a (pow c 2))) |
(* (pow c 2) (+ (* -1/2 (/ (pow b 2) c)) (* -3/8 a))) |
(* (pow c 2) (+ (* -1/2 (/ (pow b 2) c)) (* -3/8 a))) |
(* (pow c 2) (+ (* -1/2 (/ (pow b 2) c)) (* -3/8 a))) |
(* -3/8 (* a (pow c 2))) |
(* (pow c 2) (+ (* -1/2 (/ (pow b 2) c)) (* -3/8 a))) |
(* (pow c 2) (+ (* -1/2 (/ (pow b 2) c)) (* -3/8 a))) |
(* (pow c 2) (+ (* -1/2 (/ (pow b 2) c)) (* -3/8 a))) |
(* -1/2 (* (pow b 2) c)) |
(+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) |
(+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) |
(+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) |
(* -3/8 (* a (pow c 2))) |
(* a (+ (* -1/2 (/ (* (pow b 2) c) a)) (* -3/8 (pow c 2)))) |
(* a (+ (* -1/2 (/ (* (pow b 2) c) a)) (* -3/8 (pow c 2)))) |
(* a (+ (* -1/2 (/ (* (pow b 2) c) a)) (* -3/8 (pow c 2)))) |
(* -3/8 (* a (pow c 2))) |
(* -1 (* a (+ (* 3/8 (pow c 2)) (* 1/2 (/ (* (pow b 2) c) a))))) |
(* -1 (* a (+ (* 3/8 (pow c 2)) (* 1/2 (/ (* (pow b 2) c) a))))) |
(* -1 (* a (+ (* 3/8 (pow c 2)) (* 1/2 (/ (* (pow b 2) c) 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)))) |
(* -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)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3))))) |
(* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3))))) |
(* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3))))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))))) |
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))))) |
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3)) |
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3)) |
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3)) |
(* -1/2 (/ c b)) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(* -1/2 (/ c b)) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b)) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b)) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b)) |
(* -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)))) |
(* -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)) |
(* 6 (* a b)) |
(* a (+ (* -9/2 (/ (* a c) b)) (* 6 b))) |
(* a (+ (* 6 b) (* a (+ (* -9/2 (/ c b)) (* -27/8 (/ (* a (pow c 2)) (pow b 3))))))) |
(* a (+ (* 6 b) (* a (+ (* -9/2 (/ c b)) (* a (+ (* -81/16 (/ (* a (pow c 3)) (pow b 5))) (* -27/8 (/ (pow c 2) (pow b 3))))))))) |
(* 3 (* (sqrt (* (pow a 3) c)) (sqrt -3))) |
(* (pow a 2) (+ (* 3 (* (sqrt (/ c a)) (sqrt -3))) (* 3 (/ b a)))) |
(* (pow a 2) (+ (* 3/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* 3 (* (sqrt (/ c a)) (sqrt -3))) (* 3 (/ b a))))) |
(* (pow a 2) (+ (* -3/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 3/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* 3 (* (sqrt (/ c a)) (sqrt -3))) (* 3 (/ b a)))))) |
(* -3 (* (sqrt (* (pow a 3) c)) (* (sqrt -1) (sqrt 3)))) |
(* (pow a 2) (+ (* -3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* 3 (/ b a)))) |
(* (pow a 2) (+ (* -3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -3 b) (* 3/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)))) |
(* (pow a 2) (+ (* -3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -3 b) (* -1 (/ (+ (* -3/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 3/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a)))) |
(* 3 (* (sqrt (* (pow a 3) c)) (sqrt -3))) |
(+ (* 3 (* a b)) (* 3 (* (sqrt (* (pow a 3) c)) (sqrt -3)))) |
(+ (* 3 (* (sqrt (* (pow a 3) c)) (sqrt -3))) (* b (+ (* 3/2 (* (sqrt (/ a c)) (/ b (sqrt -3)))) (* 3 a)))) |
(+ (* 3 (* (sqrt (* (pow a 3) c)) (sqrt -3))) (* b (+ (* 3 a) (* b (+ (* -3/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ a c)) (/ 1 (sqrt -3))))))))) |
(* 6 (* a b)) |
(* b (+ (* -9/2 (/ (* (pow a 2) c) (pow b 2))) (* 6 a))) |
(* b (+ (* -9/2 (/ (* (pow a 2) c) (pow b 2))) (+ (* -27/8 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 6 a)))) |
(* b (+ (* -81/16 (/ (* (pow a 4) (pow c 3)) (pow b 6))) (+ (* -9/2 (/ (* (pow a 2) c) (pow b 2))) (+ (* -27/8 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 6 a))))) |
(* 9/2 (/ (* (pow a 2) c) b)) |
(* -1 (/ (+ (* -9/2 (* (pow a 2) c)) (* -27/8 (/ (* (pow a 3) (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ (* -81/16 (/ (* (pow a 4) (pow c 3)) (pow b 4))) (+ (* -9/2 (* (pow a 2) c)) (* -27/8 (/ (* (pow a 3) (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (+ (* -81/16 (/ (* (pow a 4) (pow c 3)) (pow b 4))) (+ (* -9/2 (* (pow a 2) c)) (+ (* -27/8 (/ (* (pow a 3) (pow c 2)) (pow b 2))) (* -3/2 (/ (* a (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4))))) (pow b 6)))))) b)) |
(* 6 (* a b)) |
(+ (* -9/2 (/ (* (pow a 2) c) b)) (* 6 (* a b))) |
(+ (* 6 (* a b)) (* c (+ (* -9/2 (/ (pow a 2) b)) (* -27/8 (/ (* (pow a 3) c) (pow b 3)))))) |
(+ (* 6 (* a b)) (* c (+ (* -9/2 (/ (pow a 2) b)) (* c (+ (* -81/16 (/ (* (pow a 4) c) (pow b 5))) (* -27/8 (/ (pow a 3) (pow b 3)))))))) |
(* 3 (* (sqrt (* (pow a 3) c)) (sqrt -3))) |
(* c (+ (* 3 (* (sqrt (/ (pow a 3) c)) (sqrt -3))) (* 3 (/ (* a b) c)))) |
(* c (+ (* 3/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -3)))) (+ (* 3 (* (sqrt (/ (pow a 3) c)) (sqrt -3))) (* 3 (/ (* a b) c))))) |
(* c (+ (* -3/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 3/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -3)))) (+ (* 3 (* (sqrt (/ (pow a 3) c)) (sqrt -3))) (* 3 (/ (* a b) c)))))) |
(* -3 (* (sqrt (* (pow a 3) c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* -3 (/ (* a b) c)) (* 3 (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -3/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 3 (* a b))) c)) (* 3 (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -3/8 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (* a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 3 (* a b))) c)) (* 3 (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 3))))))) |
(* -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)))) |
(* -1/2 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))))) |
(* (pow b 2) c) |
(* (pow b 2) c) |
(* (pow b 2) c) |
(* (pow b 2) c) |
(* (pow b 2) c) |
(* (pow b 2) c) |
(* (pow b 2) c) |
(* (pow b 2) c) |
(* (pow b 2) c) |
(* (pow b 2) c) |
(* (pow b 2) c) |
(* (pow b 2) c) |
(* (pow b 2) c) |
(* (pow b 2) c) |
(* (pow b 2) c) |
(* (pow b 2) c) |
(* (pow b 2) c) |
(* (pow b 2) c) |
(* (pow b 2) c) |
(* (pow b 2) c) |
(* (pow b 2) c) |
(* (pow b 2) c) |
(* (pow b 2) c) |
(* (pow b 2) c) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
| Outputs |
|---|
(* -1/2 (/ c b)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 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)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 c b) (*.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)))))) |
(+ (* -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)))))))))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 c b) (*.f64 a (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (*.f64 a (fma.f64 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 -9/16 binary64) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64)))))))) |
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) |
(/.f64 (sqrt.f64 (/.f64 c a)) (neg.f64 (sqrt.f64 #s(literal -3 binary64)))) |
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (/ b (pow (sqrt -3) 2))) a) |
(/.f64 (-.f64 (/.f64 b #s(literal -3 binary64)) (/.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -3 binary64)))) 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) |
(/.f64 (-.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (/.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64)))) (/.f64 b #s(literal -3 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (/.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64)))))) (/.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -3 binary64)))) 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) |
(/.f64 (-.f64 (-.f64 (fma.f64 (/.f64 (*.f64 b (*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) c)) (*.f64 b b)) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64)))) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -3 binary64))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (pow.f64 a #s(literal 5 binary64)))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 c a) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 4 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (/.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64)))) (/.f64 b #s(literal -3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (/.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64)))))) (/.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -3 binary64)))) a) |
(* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (/ b (pow (sqrt 3) 2))) a)) |
(/.f64 (-.f64 (/.f64 b #s(literal 3 binary64)) (/.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))) (neg.f64 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)) |
(/.f64 (neg.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 (-.f64 (/.f64 (*.f64 b a) #s(literal -3 binary64)) (/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) c)) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64)))) #s(literal -1/2 binary64)) a)) a))) (neg.f64 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)) |
(/.f64 (neg.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 (-.f64 (/.f64 (*.f64 b a) #s(literal -3 binary64)) (/.f64 (-.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) c))) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) c)) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64)))) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal 3 binary64))) (neg.f64 (sqrt.f64 (/.f64 a c))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 a a)) (*.f64 c (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 4 binary64)))))) a)) (/.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) c)) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64))))) a)) a))) (neg.f64 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 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b (*.f64 b b)))) (/.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 #s(literal -9/16 binary64) (/.f64 (*.f64 c (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -3/8 binary64) a) (*.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))) (* c (+ (* -27/32 (/ (pow a 3) (pow b 7))) (* -27/128 (/ (pow a 3) (pow b 7))))))))) (* 1/2 (/ 1 b)))) |
(*.f64 c (fma.f64 c (fma.f64 c (fma.f64 c (*.f64 (/.f64 (*.f64 a (*.f64 a a)) (pow.f64 b #s(literal 7 binary64))) #s(literal -135/128 binary64)) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1/2 binary64) b))) |
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) |
(/.f64 (sqrt.f64 (/.f64 c a)) (neg.f64 (sqrt.f64 #s(literal -3 binary64)))) |
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (/ b (* a (pow (sqrt -3) 2)))) |
(-.f64 (/.f64 b (*.f64 a #s(literal -3 binary64))) (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)))) |
(- (+ (* -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))))) |
(+.f64 (-.f64 (/.f64 (sqrt.f64 (/.f64 c a)) (neg.f64 (sqrt.f64 #s(literal -3 binary64)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a)))))) (*.f64 c c))) (/.f64 b (*.f64 a #s(literal -3 binary64)))) |
(- (+ (* -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)))))) |
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(*.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 b c)) (neg.f64 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)))))) |
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(* -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)))))) |
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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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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 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/2 binary64) #s(literal 1 binary64)) (neg.f64 b)) |
(* -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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b |
(+ b (* -3/2 (/ (* a c) b))) |
(fma.f64 (/.f64 (*.f64 c a) b) #s(literal -3/2 binary64) b) |
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) |
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(+ 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 (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64))) #s(literal -27/16 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)) b) |
(* (sqrt (* a c)) (sqrt -3)) |
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a))) |
(* 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))))) |
(*.f64 a (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64))))) #s(literal -1/8 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)))))) |
(* 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)))))) |
(*.f64 a (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64))))) #s(literal -1/8 binary64) (fma.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))))) (/.f64 (pow.f64 b #s(literal 6 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 c (*.f64 a (*.f64 a a))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64))))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (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)))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (neg.f64 a)) |
(* -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)))))))) |
(neg.f64 (*.f64 a (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 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 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 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 c (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))))))))) |
b |
(+ b (* -3/2 (/ (* a c) b))) |
(fma.f64 (/.f64 (*.f64 c a) b) #s(literal -3/2 binary64) b) |
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))) |
(fma.f64 c (fma.f64 (/.f64 (*.f64 c (*.f64 a a)) (*.f64 b (*.f64 b b))) #s(literal -9/8 binary64) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) b) |
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))) |
(fma.f64 c (fma.f64 c (fma.f64 (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (pow.f64 b #s(literal 5 binary64))) #s(literal -27/16 binary64) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 b (*.f64 b b)))) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) b) |
(* (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)))) |
(*.f64 c (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 a c)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64)))))) |
(* 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))))) |
(*.f64 c (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (pow.f64 b #s(literal 4 binary64))) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 a c)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))))))) |
(* 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)))))) |
(*.f64 c (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (pow.f64 b #s(literal 4 binary64))) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64)))) #s(literal -1/8 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))))) (pow.f64 b #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))) (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 a c)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64)))))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (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 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))) (*.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))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (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 (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))) (*.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)))) (+ (* 1/16 (* (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)))))))) |
(neg.f64 (*.f64 c (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))) (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))))))))) |
(/ -1/3 a) |
(/.f64 #s(literal -1/3 binary64) a) |
(/ -1/3 a) |
(/.f64 #s(literal -1/3 binary64) a) |
(/ -1/3 a) |
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(* 6 (* a b)) |
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(* (pow b 2) c) |
(*.f64 c (*.f64 b b)) |
(* (pow b 2) c) |
(*.f64 c (*.f64 b b)) |
(* (pow b 2) c) |
(*.f64 c (*.f64 b b)) |
(* (pow b 2) c) |
(*.f64 c (*.f64 b b)) |
(* (pow b 2) c) |
(*.f64 c (*.f64 b b)) |
(* (pow b 2) c) |
(*.f64 c (*.f64 b b)) |
(* (pow b 2) c) |
(*.f64 c (*.f64 b b)) |
(* (pow b 2) c) |
(*.f64 c (*.f64 b b)) |
(* (pow b 2) c) |
(*.f64 c (*.f64 b b)) |
(* (pow b 2) c) |
(*.f64 c (*.f64 b b)) |
(* (pow b 2) c) |
(*.f64 c (*.f64 b b)) |
(* a (pow c 2)) |
(*.f64 a (*.f64 c c)) |
(* a (pow c 2)) |
(*.f64 a (*.f64 c c)) |
(* a (pow c 2)) |
(*.f64 a (*.f64 c c)) |
(* a (pow c 2)) |
(*.f64 a (*.f64 c c)) |
(* a (pow c 2)) |
(*.f64 a (*.f64 c c)) |
(* a (pow c 2)) |
(*.f64 a (*.f64 c c)) |
(* a (pow c 2)) |
(*.f64 a (*.f64 c c)) |
(* a (pow c 2)) |
(*.f64 a (*.f64 c c)) |
(* a (pow c 2)) |
(*.f64 a (*.f64 c c)) |
(* a (pow c 2)) |
(*.f64 a (*.f64 c c)) |
(* a (pow c 2)) |
(*.f64 a (*.f64 c c)) |
(* a (pow c 2)) |
(*.f64 a (*.f64 c c)) |
(* a (pow c 2)) |
(*.f64 a (*.f64 c c)) |
(* a (pow c 2)) |
(*.f64 a (*.f64 c c)) |
(* a (pow c 2)) |
(*.f64 a (*.f64 c c)) |
(* a (pow c 2)) |
(*.f64 a (*.f64 c c)) |
(* a (pow c 2)) |
(*.f64 a (*.f64 c c)) |
(* a (pow c 2)) |
(*.f64 a (*.f64 c c)) |
(* a (pow c 2)) |
(*.f64 a (*.f64 c c)) |
(* a (pow c 2)) |
(*.f64 a (*.f64 c c)) |
(* a (pow c 2)) |
(*.f64 a (*.f64 c c)) |
(* a (pow c 2)) |
(*.f64 a (*.f64 c c)) |
(* a (pow c 2)) |
(*.f64 a (*.f64 c c)) |
(* a (pow c 2)) |
(*.f64 a (*.f64 c c)) |
| 1× | batch-egg-rewrite |
| 4 250× | lower-/.f32 |
| 4 236× | lower-/.f64 |
| 3 632× | lower-fma.f32 |
| 3 626× | lower-fma.f64 |
| 3 458× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 376 |
| 0 | 93 | 348 |
| 1 | 439 | 314 |
| 2 | 3508 | 314 |
| 0 | 9954 | 311 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (-.f64 (*.f64 b b) (*.f64 b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) |
(-.f64 (*.f64 b b) (*.f64 b b)) |
(fma.f64 (*.f64 a #s(literal -3 binary64)) c (-.f64 (*.f64 b b) (*.f64 b b))) |
(*.f64 a #s(literal -3 binary64)) |
(/.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 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) a) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) |
(-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) |
(sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) |
(/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64))) |
(neg.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)) |
(*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) |
#s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b))) b)) |
(/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b))) b) |
#s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b))) |
(*.f64 #s(literal -3 binary64) (*.f64 a c)) |
(*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b)) |
(*.f64 (*.f64 b b) c) |
(*.f64 a (*.f64 c c)) |
| Outputs |
|---|
(+.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (*.f64 a (*.f64 #s(literal 3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))) (neg.f64 (/.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 a #s(literal -3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) a)) |
(-.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) a) (/.f64 #s(literal 0 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 (/.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) a) (/.f64 (/.f64 #s(literal 0 binary64) (*.f64 a (*.f64 #s(literal -3 binary64) c))) (*.f64 a (*.f64 #s(literal 3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) a) (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 a (*.f64 #s(literal 3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) (*.f64 a (*.f64 #s(literal -3 binary64) c))))) |
(-.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (*.f64 a (*.f64 #s(literal 3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))) (/.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))))) |
(-.f64 (/.f64 (*.f64 b b) (*.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 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (*.f64 a (*.f64 #s(literal 3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 a #s(literal -3 binary64))) (/.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) a)) |
(-.f64 (/.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))))) #s(literal -3 binary64)) (neg.f64 a)) (/.f64 (/.f64 (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #s(literal -3 binary64)) (neg.f64 a))) |
(-.f64 (/.f64 #s(literal 0 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 (*.f64 #s(literal 1/3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) a)) |
(-.f64 (/.f64 #s(literal 0 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 (*.f64 a (*.f64 #s(literal 3 binary64) c)) (*.f64 a (*.f64 #s(literal 3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))))) |
(-.f64 (/.f64 #s(literal 0 binary64) a) (/.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) a)) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 a #s(literal -3 binary64))) (/.f64 b (*.f64 a #s(literal -3 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 (+.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 a (*.f64 #s(literal -3 binary64) c))) (*.f64 a #s(literal -3 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (*.f64 a (*.f64 #s(literal -3 binary64) c))) (*.f64 a #s(literal -3 binary64)))) |
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c))))) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (/.f64 (*.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (*.f64 a #s(literal -3 binary64))) (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (/.f64 (*.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (*.f64 a #s(literal -3 binary64)))) |
(-.f64 (/.f64 (/.f64 (/.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c)))) (*.f64 a (*.f64 #s(literal -3 binary64) c))) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (*.f64 a #s(literal -3 binary64))) (/.f64 (/.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 #s(literal -3 binary64) c))) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (*.f64 a #s(literal -3 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 (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))) (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 a #s(literal -3 binary64))) (/.f64 (/.f64 (*.f64 b (*.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 a #s(literal -3 binary64)))) |
(-.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 0 binary64)) (*.f64 a #s(literal -3 binary64))) (/.f64 b (*.f64 a #s(literal -3 binary64)))) |
(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal 3 binary64))) (/.f64 (neg.f64 b) (*.f64 a #s(literal 3 binary64)))) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 (+.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 a (*.f64 #s(literal -3 binary64) c))) (*.f64 a #s(literal 3 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (*.f64 a (*.f64 #s(literal -3 binary64) c))) (*.f64 a #s(literal 3 binary64)))) |
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c))))) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (/.f64 (*.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (*.f64 a #s(literal 3 binary64))) (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (/.f64 (*.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (*.f64 a #s(literal 3 binary64)))) |
(-.f64 (/.f64 (/.f64 (/.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c)))) (*.f64 a (*.f64 #s(literal -3 binary64) c))) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64))) (/.f64 (/.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 #s(literal -3 binary64) c))) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (*.f64 a #s(literal 3 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 (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))) (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 a #s(literal 3 binary64))) (/.f64 (/.f64 (*.f64 b (*.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 a #s(literal 3 binary64)))) |
(-.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 0 binary64)) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64)))) |
(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -3 binary64))) (/.f64 (neg.f64 b) (*.f64 a #s(literal -3 binary64)))) |
(-.f64 (/.f64 (*.f64 (+.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 a #s(literal 3 binary64)) (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (/.f64 (*.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (*.f64 (*.f64 a #s(literal 3 binary64)) (*.f64 a (*.f64 #s(literal -3 binary64) c))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 a)) (/.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) a)) |
(-.f64 (/.f64 (*.f64 (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 a #s(literal 3 binary64)) (fma.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 b (*.f64 b b)) (*.f64 (*.f64 a #s(literal 3 binary64)) (fma.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 (/.f64 (*.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c))))) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (*.f64 (*.f64 a #s(literal 3 binary64)) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (/.f64 (*.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 a (*.f64 #s(literal -3 binary64) c)))))) (/.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (*.f64 (*.f64 a #s(literal 3 binary64)) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (/.f64 (*.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 a (*.f64 #s(literal -3 binary64) c))))))) |
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#s(literal 0 binary64) |
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(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -27/512 binary64) (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -1/8 binary64))))) (neg.f64 (*.f64 (*.f64 b b) (fma.f64 (*.f64 (*.f64 a c) (*.f64 c #s(literal -3/8 binary64))) (-.f64 (*.f64 (*.f64 a c) (*.f64 c #s(literal -3/8 binary64))) (*.f64 c (*.f64 (*.f64 b b) #s(literal -1/2 binary64)))) (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal 1/4 binary64))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal 1/4 binary64))) (*.f64 #s(literal 9/64 binary64) (*.f64 (*.f64 c (*.f64 a c)) (*.f64 c (*.f64 a c)))))) (neg.f64 (*.f64 (*.f64 b b) (fma.f64 c (*.f64 (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 (*.f64 c (*.f64 a c)) #s(literal 3/8 binary64)))))) |
(/.f64 (*.f64 (fma.f64 a (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 c (*.f64 (*.f64 b b) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) (*.f64 b b)) |
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -27/512 binary64) (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -1/8 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (fma.f64 (*.f64 (*.f64 a c) (*.f64 c #s(literal -3/8 binary64))) (-.f64 (*.f64 (*.f64 a c) (*.f64 c #s(literal -3/8 binary64))) (*.f64 c (*.f64 (*.f64 b b) #s(literal -1/2 binary64)))) (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal 1/4 binary64))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal 1/4 binary64))) (*.f64 #s(literal 9/64 binary64) (*.f64 (*.f64 c (*.f64 a c)) (*.f64 c (*.f64 a c))))) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (fma.f64 c (*.f64 (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 (*.f64 c (*.f64 a c)) #s(literal 3/8 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -27/512 binary64) (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -1/8 binary64)))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 a c) (*.f64 c #s(literal -3/8 binary64))) (-.f64 (*.f64 (*.f64 a c) (*.f64 c #s(literal -3/8 binary64))) (*.f64 c (*.f64 (*.f64 b b) #s(literal -1/2 binary64)))) (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal 1/4 binary64)))) (*.f64 b b)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal 1/4 binary64))) (*.f64 #s(literal 9/64 binary64) (*.f64 (*.f64 c (*.f64 a c)) (*.f64 c (*.f64 a c))))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 c (*.f64 (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 (*.f64 c (*.f64 a c)) #s(literal 3/8 binary64))) (*.f64 b b)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 c (*.f64 a c)) #s(literal 3/8 binary64) (neg.f64 (*.f64 c (*.f64 (*.f64 b b) #s(literal -1/2 binary64))))))) (neg.f64 (*.f64 b b))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (fma.f64 a (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 c (*.f64 (*.f64 b b) #s(literal -1/2 binary64)))) b))) (neg.f64 (neg.f64 b))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 a (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 c (*.f64 (*.f64 b b) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) (neg.f64 (*.f64 b b))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -27/512 binary64) (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -1/8 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) (neg.f64 (fma.f64 (*.f64 (*.f64 a c) (*.f64 c #s(literal -3/8 binary64))) (-.f64 (*.f64 (*.f64 a c) (*.f64 c #s(literal -3/8 binary64))) (*.f64 c (*.f64 (*.f64 b b) #s(literal -1/2 binary64)))) (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal 1/4 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal 1/4 binary64))) (*.f64 #s(literal 9/64 binary64) (*.f64 (*.f64 c (*.f64 a c)) (*.f64 c (*.f64 a c))))) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) (neg.f64 (fma.f64 c (*.f64 (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 (*.f64 c (*.f64 a c)) #s(literal 3/8 binary64))))) |
(pow.f64 (/.f64 (*.f64 b b) (fma.f64 a (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 c (*.f64 (*.f64 b b) #s(literal -1/2 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 b b) (fma.f64 a (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 c (*.f64 (*.f64 b b) #s(literal -1/2 binary64))))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 b (/.f64 (fma.f64 a (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 c (*.f64 (*.f64 b b) #s(literal -1/2 binary64)))) b)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 c (*.f64 (*.f64 b b) #s(literal -1/2 binary64)))) (*.f64 b b))) |
(*.f64 (fma.f64 a (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 c (*.f64 (*.f64 b b) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 b b))) |
(*.f64 (fma.f64 (*.f64 c (*.f64 a c)) #s(literal 3/8 binary64) (neg.f64 (*.f64 c (*.f64 (*.f64 b b) #s(literal -1/2 binary64))))) (/.f64 #s(literal -1 binary64) (*.f64 b b))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (fma.f64 a (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 c (*.f64 (*.f64 b b) #s(literal -1/2 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 c (*.f64 (*.f64 b b) #s(literal -1/2 binary64))))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (fma.f64 a (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 c (*.f64 (*.f64 b b) #s(literal -1/2 binary64)))) b)) |
(*.f64 (/.f64 (fma.f64 a (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 c (*.f64 (*.f64 b b) #s(literal -1/2 binary64)))) b) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 (pow.f64 (/.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -27/512 binary64) (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -1/8 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 a c) (*.f64 c #s(literal -3/8 binary64))) (-.f64 (*.f64 (*.f64 a c) (*.f64 c #s(literal -3/8 binary64))) (*.f64 c (*.f64 (*.f64 b b) #s(literal -1/2 binary64)))) (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal 1/4 binary64)))))) |
(*.f64 (pow.f64 (/.f64 (*.f64 b b) (-.f64 (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal 1/4 binary64))) (*.f64 #s(literal 9/64 binary64) (*.f64 (*.f64 c (*.f64 a c)) (*.f64 c (*.f64 a c)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 c (*.f64 (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 (*.f64 c (*.f64 a c)) #s(literal 3/8 binary64))))) |
(*.f64 c (*.f64 b b)) |
(*.f64 b (*.f64 c b)) |
(*.f64 (*.f64 b b) c) |
(*.f64 (*.f64 c b) b) |
(*.f64 a (*.f64 c c)) |
(*.f64 c (*.f64 a c)) |
(*.f64 (*.f64 a c) c) |
(*.f64 (*.f64 c c) a) |
Compiled 128 530 to 6 815 computations (94.7% saved)
33 alts after pruning (28 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 3 102 | 22 | 3 124 |
| Fresh | 12 | 6 | 18 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 3 117 | 33 | 3 150 |
| Status | Accuracy | Program |
|---|---|---|
| 99.3% | (/.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (-.f64 (*.f64 b b) (*.f64 b b))) (fma.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) a) #s(literal 3 binary64) (*.f64 b (*.f64 a #s(literal 3 binary64))))) | |
| 19.2% | (/.f64 (fma.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 1/3 binary64) (*.f64 (neg.f64 b) #s(literal 1/3 binary64))) a) | |
| 99.3% | (/.f64 (/.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) a) (*.f64 #s(literal 3 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) | |
| 98.8% | (/.f64 (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 a c) (*.f64 a c))) (*.f64 a (*.f64 #s(literal -3 binary64) c))) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) | |
| 18.1% | (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) (*.f64 a #s(literal 3 binary64))) | |
| 17.8% | (/.f64 (+.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 1/3 binary64)) (*.f64 (neg.f64 b) #s(literal 1/3 binary64))) a) | |
| ✓ | 18.1% | (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) a) |
| 13.6% | (/.f64 (*.f64 (-.f64 #s(approx (sqrt (+ (* b b) (* -3 (* a c)))) (fma.f64 (/.f64 (*.f64 c a) b) #s(literal -3/2 binary64) b)) b) #s(literal 1/3 binary64)) a) | |
| 99.0% | (/.f64 (*.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) #s(literal 1/3 binary64)) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a)) | |
| 99.4% | (/.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) | |
| 99.2% | (/.f64 (*.f64 (*.f64 #s(literal -3 binary64) c) a) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) | |
| 99.3% | (/.f64 (neg.f64 (/.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 a #s(literal -3 binary64)))) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) | |
| 89.7% | (/.f64 #s(approx (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 89.9% | (/.f64 #s(approx (* (- (sqrt (+ (* b b) (* -3 (* a c)))) b) 1/3) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) b)) a) | |
| 99.1% | (*.f64 (/.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 a (*.f64 #s(literal -3 binary64) c))) | |
| 18.1% | (*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) | |
| 18.1% | (*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))) | |
| 18.1% | (*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)) (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -3 binary64))) | |
| 89.6% | (*.f64 #s(approx (neg (- (sqrt (+ (* b b) (* -3 (* a c)))) b)) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))) | |
| 95.4% | #s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) (*.f64 c b) (*.f64 (*.f64 a c) (*.f64 c #s(literal -3/8 binary64)))) (*.f64 b b))) b)) | |
| 95.7% | #s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 #s(approx (+ (* -1/2 (* (* b b) c)) (* -3/8 (* a (* c c)))) (*.f64 c (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) (*.f64 #s(literal -3/8 binary64) (*.f64 c a))))) (*.f64 b b))) b)) | |
| 95.4% | #s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (*.f64 (*.f64 c c) (fma.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal -1/2 binary64) c)))) b)) | |
| 95.8% | #s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)))) b)) | |
| 95.5% | #s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (*.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) b))) | |
| 95.5% | #s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (*.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)))) | |
| 95.3% | #s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) #s(approx (/ (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) b) (*.f64 (*.f64 c c) (fma.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) (*.f64 c b)))))) | |
| ✓ | 95.5% | #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))))) |
| 89.9% | #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))) | |
| 90.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (/.f64 c b)))) | |
| ✓ | 89.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
| 89.8% | #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))) | |
| ✓ | 90.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -1/2 binary64) b) c)) |
| ✓ | 90.3% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
Compiled 2 896 to 781 computations (73% 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 (/.f64 #s(literal -1/2 binary64) b) c)) |
#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 (* (- (sqrt (+ (* b b) (* -3 (* a c)))) b) 1/3) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) b)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 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 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (*.f64 (-.f64 #s(approx (sqrt (+ (* b b) (* -3 (* a c)))) (fma.f64 (/.f64 (*.f64 c a) b) #s(literal -3/2 binary64) b)) b) #s(literal 1/3 binary64)) a) |
(*.f64 #s(approx (neg (- (sqrt (+ (* b b) (* -3 (* a c)))) b)) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))) |
#s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)))) b)) |
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#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 a (*.f64 #s(literal -3/8 binary64) (*.f64 c c))) (*.f64 (*.f64 a (*.f64 c c)) #s(literal 3/8 binary64))) (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))) (*.f64 (*.f64 c c) (/.f64 #s(literal 1/4 binary64) (*.f64 b b)))) (-.f64 (/.f64 (*.f64 a (*.f64 #s(literal -3/8 binary64) (*.f64 c c))) (*.f64 b (*.f64 b b))) (/.f64 c (*.f64 b #s(literal -2 binary64)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 c (fma.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))) (/.f64 #s(literal -1/2 binary64) b)) c)) |
#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)))) |
(/.f64 (-.f64 (*.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))) (*.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) (*.f64 (*.f64 a #s(literal 3 binary64)) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 a (/.f64 #s(literal -3/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 (*.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b)))) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))))))) (*.f64 c c) (/.f64 c (*.f64 b #s(literal -2 binary64))))) |
#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)) |
(/.f64 (fma.f64 (sqrt.f64 (*.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) (fma.f64 a (*.f64 #s(literal 3 binary64) c) (*.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)) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (/.f64 (/.f64 (*.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))) (+.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 b b)))) (/.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))) (+.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.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 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)))) |
| Outputs |
|---|
(/.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) |
5 calls:
| 178.0ms | b |
| 39.0ms | a |
| 27.0ms | c |
| 24.0ms | (*.f64 #s(literal 3 binary64) a) |
| 24.0ms | (/.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)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 1 | a |
| 99.4% | 1 | b |
| 99.4% | 1 | c |
| 99.4% | 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)) |
| 99.4% | 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 (/.f64 #s(literal -1/2 binary64) b) c)) |
#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 (* (- (sqrt (+ (* b b) (* -3 (* a c)))) b) 1/3) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) b)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 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 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (*.f64 (-.f64 #s(approx (sqrt (+ (* b b) (* -3 (* a c)))) (fma.f64 (/.f64 (*.f64 c a) b) #s(literal -3/2 binary64) b)) b) #s(literal 1/3 binary64)) a) |
(*.f64 #s(approx (neg (- (sqrt (+ (* b b) (* -3 (* a c)))) b)) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))) |
#s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)))) b)) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (+ (* b b) (* a (* -3 c)))) (fma.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 a c) 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 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) a) |
(/.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 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) (*.f64 a #s(literal 3 binary64))) |
(/.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)) |
#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 (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (*.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 (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) 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 a (*.f64 #s(literal -3 binary64) 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 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64))) |
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 1/3 binary64) (*.f64 (neg.f64 b) #s(literal 1/3 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 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) a) #s(literal 3 binary64)) |
(*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))) |
(/.f64 (+.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 1/3 binary64)) (*.f64 (neg.f64 b) #s(literal 1/3 binary64))) a) |
#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 (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) #s(approx (/ (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) b) (*.f64 (*.f64 c c) (fma.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) (*.f64 c b)))))) |
#s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (*.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) b))) |
#s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 #s(approx (+ (* -1/2 (* (* b b) c)) (* -3/8 (* a (* c c)))) (*.f64 c (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) (*.f64 #s(literal -3/8 binary64) (*.f64 c a))))) (*.f64 b b))) b)) |
#s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (*.f64 (*.f64 c c) (fma.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal -1/2 binary64) c)))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* c (/ -1/2 b)) (/ (* (* a (* c c)) -3/8) (* b (* b b)))) (*.f64 (*.f64 c c) (-.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) (*.f64 c b)))))) |
#s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) #s(approx (/ (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) b) (*.f64 (*.f64 c c) (-.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) (*.f64 b c)))))) |
#s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (*.f64 (*.f64 c c) (-.f64 (*.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) c)))) b)) |
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* c (/ -1/2 b)) (/ (* (* a (* c c)) -3/8) (* b (* b b)))) (*.f64 a (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 a b)) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))))))) |
#s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b))) b)) |
#s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) (*.f64 c b) (*.f64 (*.f64 a c) (*.f64 c #s(literal -3/8 binary64)))) (*.f64 b b))) b)) |
(*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)) (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -3 binary64))) |
(/.f64 #s(approx (- (+ (* b b) (* -3 (* a c))) (* b b)) (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) |
(/.f64 (*.f64 (*.f64 #s(literal -3 binary64) c) a) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) |
| Outputs |
|---|
(/.f64 #s(approx (- (+ (* b b) (* -3 (* a c))) (* b b)) (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) |
5 calls:
| 16.0ms | (/.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)) |
| 15.0ms | c |
| 15.0ms | a |
| 13.0ms | b |
| 13.0ms | (*.f64 #s(literal 3 binary64) a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 1 | a |
| 99.2% | 1 | b |
| 99.2% | 1 | c |
| 99.2% | 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)) |
| 99.2% | 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 (/.f64 #s(literal -1/2 binary64) b) c)) |
#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 (* (- (sqrt (+ (* b b) (* -3 (* a c)))) b) 1/3) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) b)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 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 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (*.f64 (-.f64 #s(approx (sqrt (+ (* b b) (* -3 (* a c)))) (fma.f64 (/.f64 (*.f64 c a) b) #s(literal -3/2 binary64) b)) b) #s(literal 1/3 binary64)) a) |
(*.f64 #s(approx (neg (- (sqrt (+ (* b b) (* -3 (* a c)))) b)) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))) |
#s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)))) b)) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (+ (* b b) (* a (* -3 c)))) (fma.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 a c) 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 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) a) |
(/.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 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) (*.f64 a #s(literal 3 binary64))) |
(/.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)) |
#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 (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (*.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 (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) 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 a (*.f64 #s(literal -3 binary64) 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 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64))) |
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 1/3 binary64) (*.f64 (neg.f64 b) #s(literal 1/3 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 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) a) #s(literal 3 binary64)) |
(*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))) |
(/.f64 (+.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 1/3 binary64)) (*.f64 (neg.f64 b) #s(literal 1/3 binary64))) a) |
#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 (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) #s(approx (/ (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) b) (*.f64 (*.f64 c c) (fma.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) (*.f64 c b)))))) |
#s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (*.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) b))) |
#s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 #s(approx (+ (* -1/2 (* (* b b) c)) (* -3/8 (* a (* c c)))) (*.f64 c (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) (*.f64 #s(literal -3/8 binary64) (*.f64 c a))))) (*.f64 b b))) b)) |
#s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (*.f64 (*.f64 c c) (fma.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal -1/2 binary64) c)))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* c (/ -1/2 b)) (/ (* (* a (* c c)) -3/8) (* b (* b b)))) (*.f64 (*.f64 c c) (-.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) (*.f64 c b)))))) |
#s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) #s(approx (/ (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) b) (*.f64 (*.f64 c c) (-.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) (*.f64 b c)))))) |
#s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (*.f64 (*.f64 c c) (-.f64 (*.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) c)))) b)) |
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* c (/ -1/2 b)) (/ (* (* a (* c c)) -3/8) (* b (* b b)))) (*.f64 a (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 a b)) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))))))) |
#s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))) (*.f64 b b))) b)) |
#s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) (*.f64 c b) (*.f64 (*.f64 a c) (*.f64 c #s(literal -3/8 binary64)))) (*.f64 b b))) b)) |
(*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)) (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -3 binary64))) |
| Outputs |
|---|
#s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) b)) |
5 calls:
| 41.0ms | (*.f64 #s(literal 3 binary64) a) |
| 15.0ms | b |
| 14.0ms | a |
| 12.0ms | c |
| 11.0ms | (/.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)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.8% | 1 | a |
| 95.8% | 1 | b |
| 95.8% | 1 | c |
| 95.8% | 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)) |
| 95.8% | 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 (/.f64 #s(literal -1/2 binary64) b) c)) |
#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 (* (- (sqrt (+ (* b b) (* -3 (* a c)))) b) 1/3) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) b)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 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 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (*.f64 (-.f64 #s(approx (sqrt (+ (* b b) (* -3 (* a c)))) (fma.f64 (/.f64 (*.f64 c a) b) #s(literal -3/2 binary64) b)) b) #s(literal 1/3 binary64)) a) |
(*.f64 #s(approx (neg (- (sqrt (+ (* b b) (* -3 (* a c)))) b)) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))) |
#s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)))) b)) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (+ (* b b) (* a (* -3 c)))) (fma.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 a c) 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 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) a) |
(/.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 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) (*.f64 a #s(literal 3 binary64))) |
(/.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)) |
#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 (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (*.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)))) |
| Outputs |
|---|
#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:
| 12.0ms | b |
| 8.0ms | c |
| 7.0ms | (*.f64 #s(literal 3 binary64) a) |
| 7.0ms | a |
| 6.0ms | (/.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)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.8% | 1 | a |
| 95.8% | 1 | b |
| 95.8% | 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)) |
| 95.8% | 1 | (*.f64 #s(literal 3 binary64) a) |
| 95.8% | 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 (/.f64 #s(literal -1/2 binary64) b) c)) |
#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 (* (- (sqrt (+ (* b b) (* -3 (* a c)))) b) 1/3) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) b)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 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 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (*.f64 (-.f64 #s(approx (sqrt (+ (* b b) (* -3 (* a c)))) (fma.f64 (/.f64 (*.f64 c a) b) #s(literal -3/2 binary64) b)) b) #s(literal 1/3 binary64)) a) |
(*.f64 #s(approx (neg (- (sqrt (+ (* b b) (* -3 (* a c)))) b)) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))) |
#s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)))) b)) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (+ (* b b) (* a (* -3 c)))) (fma.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 a c) 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 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64)) a) |
(/.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 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) (*.f64 a #s(literal 3 binary64))) |
(/.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)) |
#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 |
|---|
#s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)))) b)) |
5 calls:
| 8.0ms | c |
| 6.0ms | (*.f64 #s(literal 3 binary64) a) |
| 6.0ms | b |
| 6.0ms | a |
| 6.0ms | (/.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)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.8% | 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)) |
| 95.8% | 1 | a |
| 95.8% | 1 | b |
| 95.8% | 1 | c |
| 95.8% | 1 | (*.f64 #s(literal 3 binary64) a) |
Compiled 38 to 26 computations (31.6% saved)
Total -49.1b remaining (-791.8%)
Threshold costs -49.1b (-791.8%)
| 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 (/.f64 #s(literal -1/2 binary64) b) c)) |
#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 (* (- (sqrt (+ (* b b) (* -3 (* a c)))) b) 1/3) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c a)) b)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 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 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (*.f64 (-.f64 #s(approx (sqrt (+ (* b b) (* -3 (* a c)))) (fma.f64 (/.f64 (*.f64 c a) b) #s(literal -3/2 binary64) b)) b) #s(literal 1/3 binary64)) a) |
(*.f64 #s(approx (neg (- (sqrt (+ (* b b) (* -3 (* a c)))) b)) (/.f64 (*.f64 (*.f64 c a) #s(literal 3/2 binary64)) b)) (/.f64 #s(literal 1 binary64) (*.f64 a #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:
| 5.0ms | a |
| 4.0ms | c |
| 4.0ms | b |
| 4.0ms | (*.f64 #s(literal 3 binary64) a) |
| 3.0ms | (/.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)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.3% | 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)) |
| 90.3% | 1 | c |
| 90.3% | 1 | a |
| 90.3% | 1 | b |
| 90.3% | 1 | (*.f64 #s(literal 3 binary64) a) |
Compiled 38 to 26 computations (31.6% saved)
| 1× | egg-herbie |
| 26× | *-commutative_binary64 |
| 2× | +-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 70 | 247 |
| 1 | 84 | 247 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) |
(/.f64 #s(approx (- (+ (* b b) (* -3 (* a c))) (* b b)) (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) |
#s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) 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 (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (*.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 (*.f64 (*.f64 a #s(literal -3 binary64)) c) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) |
(/.f64 #s(approx (- (+ (* b b) (* -3 (* a c))) (* b b)) (*.f64 #s(literal -3 binary64) (*.f64 a c))) (*.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))))) |
#s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (*.f64 b b))) 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 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b)) |
#s(approx (/ (- (/ (+ (* a (* -3 c)) (* b b)) (+ b (sqrt (+ (* a (* -3 c)) (* b b))))) (/ (* b b) (+ b (sqrt (+ (* a (* -3 c)) (* b b)))))) (* 3 a)) (/.f64 #s(approx (+ (* c -1/2) (/ (* -3/8 (* a (* c c))) (* b b))) (*.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 |
| 7 722× | lower-*.f64 |
| 7 722× | lower-*.f32 |
| 6 828× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 470 | 2458 |
| 1 | 1445 | 2441 |
| 2 | 4896 | 2418 |
| 0 | 8064 | 2302 |
| 0 | 1706 | 16956 |
| 1 | 5735 | 16440 |
| 0 | 8189 | 15879 |
| 0 | 75 | 616 |
| 0 | 125 | 541 |
| 1 | 555 | 478 |
| 2 | 5795 | 468 |
| 0 | 9130 | 468 |
| 0 | 12 | 46 |
| 0 | 20 | 46 |
| 1 | 71 | 44 |
| 2 | 525 | 43 |
| 3 | 6836 | 43 |
| 0 | 8125 | 40 |
| 0 | 62 | 376 |
| 0 | 93 | 348 |
| 1 | 439 | 314 |
| 2 | 3508 | 314 |
| 0 | 9954 | 311 |
| 0 | 2128 | 20213 |
| 1 | 6156 | 19510 |
| 0 | 8138 | 18866 |
| 0 | 66 | 443 |
| 0 | 113 | 408 |
| 1 | 452 | 399 |
| 2 | 4173 | 399 |
| 0 | 8613 | 399 |
| 1× | fuel |
| 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× | 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 |
Compiled 375 to 154 computations (58.9% saved)
Compiled 244 to 98 computations (59.8% saved)
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