
Time bar (total: 11.8s)
| 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 | 5 255× | 1 | valid |
| 423.0ms | 3 001× | 0 | valid |
| 225.0ms | 1 183× | 0 | invalid |
ival-mult: 329.0ms (21.3% of total)const: 279.0ms (18.1% of total)ival-sqrt: 180.0ms (11.7% of total)adjust: 169.0ms (10.9% of total)ival-<: 150.0ms (9.7% of total)ival-div: 149.0ms (9.6% of total)ival-add: 99.0ms (6.4% of total)ival-sub: 88.0ms (5.7% of total)ival-neg: 54.0ms (3.5% of total)ival-and: 34.0ms (2.2% of total)exact: 10.0ms (0.6% of total)ival-assert: 4.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 241 | 1 | (0.0038982110698887536 71845624.39580974 6626729667989641.0) | 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 | 242 | 3 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 242 | 1 |
| - | 0 | 13 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 242 | 1 | 0 |
| - | 0 | 2 | 11 |
| number | freq |
|---|---|
| 0 | 14 |
| 1 | 242 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 56.0ms | 346× | 1 | valid |
| 14.0ms | 166× | 0 | valid |
Compiled 156 to 40 computations (74.4% saved)
ival-mult: 12.0ms (26.4% of total)ival-div: 9.0ms (19.8% of total)adjust: 6.0ms (13.2% of total)ival-sqrt: 6.0ms (13.2% of total)ival-add: 4.0ms (8.8% of total)ival-sub: 4.0ms (8.8% of total)ival-neg: 3.0ms (6.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
| 1 562× | div-sub |
| 1 088× | lower-fma.f64 |
| 1 088× | lower-fma.f32 |
| 996× | sub-neg |
| 712× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 158 |
| 1 | 152 | 144 |
| 2 | 433 | 144 |
| 3 | 1173 | 144 |
| 4 | 3171 | 144 |
| 5 | 6061 | 144 |
| 0 | 12 | 17 |
| 0 | 20 | 17 |
| 1 | 36 | 16 |
| 2 | 73 | 16 |
| 3 | 156 | 16 |
| 4 | 236 | 16 |
| 5 | 374 | 16 |
| 6 | 650 | 16 |
| 7 | 1103 | 16 |
| 8 | 2241 | 16 |
| 9 | 2510 | 16 |
| 10 | 2621 | 16 |
| 11 | 2676 | 16 |
| 12 | 2677 | 16 |
| 13 | 2677 | 16 |
| 0 | 2677 | 15 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| Outputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
Compiled 20 to 12 computations (40% saved)
Compiled 3 to 3 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 30.3% | (/.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 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) |
(neg.f64 b) |
b |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
(*.f64 b b) |
(*.f64 (*.f64 #s(literal 3 binary64) a) c) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(*.f64 #s(literal 3 binary64) a) |
(*.f64 a #s(literal 3 binary64)) |
#s(literal 3 binary64) |
a |
c |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.13671875 | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) | |
| accuracy | 0.265625 | (*.f64 (*.f64 #s(literal 3 binary64) a) c) | |
| accuracy | 0.4264450195368841 | (/.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 | 44.54867370714094 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
| 37.0ms | 173× | 1 | valid |
| 19.0ms | 83× | 0 | valid |
Compiled 68 to 14 computations (79.4% saved)
ival-mult: 17.0ms (53.4% of total)adjust: 3.0ms (9.4% of total)ival-div: 3.0ms (9.4% of total)ival-sqrt: 3.0ms (9.4% of total)ival-add: 2.0ms (6.3% of total)ival-sub: 2.0ms (6.3% of total)ival-neg: 1.0ms (3.1% 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 (* -3/2 (/ (* a c) b)) (taylor 0 c) (#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 (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) (taylor 0 c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.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 (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))) (taylor 0 c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.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 (* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) (taylor 0 c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.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 (pow b 2) (taylor 0 c) (#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 (+ (* -3 (* a c)) (pow b 2)) (taylor 0 c) (#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 (+ (* -3 (* a c)) (pow b 2)) (taylor 0 c) (#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 (+ (* -3 (* a c)) (pow b 2)) (taylor 0 c) (#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 (* -1/2 (/ c b)) (taylor 0 c) (#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 (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#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 (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.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 (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.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 (* 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 (* (sqrt (* a c)) (sqrt -3)) (taylor inf c) (#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 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) (taylor inf c) (#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 (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))) (taylor inf c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.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 (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c))) (taylor inf c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.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 (* a c)) (taylor inf c) (#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 (* c (- (/ (pow b 2) c) (* 3 a))) (taylor inf c) (#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 (* c (- (/ (pow b 2) c) (* 3 a))) (taylor inf c) (#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 (* c (- (/ (pow b 2) c) (* 3 a))) (taylor inf c) (#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 (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (taylor inf c) (#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 (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) (taylor inf c) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.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>) () ())) ()) |
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#s(alt (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (taylor -inf a) (#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 (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) (taylor -inf a) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.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 (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) (taylor -inf a) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.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 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) (taylor -inf a) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.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 (* 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 -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 -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 -inf a) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) a) c) (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | b | @ | inf | ((+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (- (* b b) (* (* 3 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg b) (* (* 3 a) c)) |
| 3.0ms | c | @ | inf | ((+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (- (* b b) (* (* 3 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg b) (* (* 3 a) c)) |
| 2.0ms | c | @ | 0 | ((+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (- (* b b) (* (* 3 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg b) (* (* 3 a) c)) |
| 2.0ms | c | @ | -inf | ((+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (- (* b b) (* (* 3 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg b) (* (* 3 a) c)) |
| 2.0ms | a | @ | inf | ((+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (- (* b b) (* (* 3 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg 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 | 4890 | 2418 |
| 0 | 8056 | 2302 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -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)))))))) |
(pow b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(* -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)))) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* (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))) |
(* -3 (* a c)) |
(* c (- (/ (pow b 2) c) (* 3 a))) |
(* c (- (/ (pow b 2) c) (* 3 a))) |
(* c (- (/ (pow b 2) c) (* 3 a))) |
(* 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))))))) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a 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)) |
(* -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 -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 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* (sqrt (* a c)) (sqrt -3)) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(* -3 (* a c)) |
(- (pow b 2) (* 3 (* a c))) |
(- (pow b 2) (* 3 (* a c))) |
(- (pow b 2) (* 3 (* a 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 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -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) |
(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))))) |
(* -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) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 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)))))))) |
(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))))) |
(* -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 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -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)))))))) |
(pow b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (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))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* (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))) |
(* -3 (* a c)) |
(* a (- (/ (pow b 2) a) (* 3 c))) |
(* a (- (/ (pow b 2) a) (* 3 c))) |
(* a (- (/ (pow b 2) a) (* 3 c))) |
(* 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)))))) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* -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 (* 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)))) |
(* -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))))) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
| Outputs |
|---|
(* -3/2 (/ (* a c) b)) |
(*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a) |
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) |
(*.f64 (fma.f64 (*.f64 c #s(literal -9/8 binary64)) (/.f64 (*.f64 a a) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) a) #s(literal -27/16 binary64)) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (*.f64 (*.f64 b b) b))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c) |
(* 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)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (*.f64 (*.f64 a a) a) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (*.f64 (*.f64 b b) b))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c) |
(pow b 2) |
(*.f64 b b) |
(+ (* -3 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b)) |
(+ (* -3 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b)) |
(+ (* -3 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b)) |
(* -1/2 (/ c b)) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(*.f64 (fma.f64 (*.f64 c #s(literal -3/8 binary64)) (/.f64 a (*.f64 (*.f64 b b) b)) (/.f64 #s(literal -1/2 binary64) b)) c) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c) |
(* 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 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) c) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) (*.f64 b a))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c) |
(* 3 (* a c)) |
(*.f64 #s(literal 3 binary64) (*.f64 c a)) |
(* 3 (* a c)) |
(*.f64 #s(literal 3 binary64) (*.f64 c a)) |
(* 3 (* a c)) |
(*.f64 #s(literal 3 binary64) (*.f64 c a)) |
(* 3 (* a c)) |
(*.f64 #s(literal 3 binary64) (*.f64 c a)) |
(* (sqrt (* a c)) (sqrt -3)) |
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (neg.f64 b) c)) c) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))) |
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(pow b 2) |
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(*.f64 (neg.f64 b) (fma.f64 (*.f64 (*.f64 c c) (/.f64 a (pow.f64 b #s(literal 4 binary64)))) #s(literal -3/8 binary64) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) 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))))))) |
(*.f64 (neg.f64 b) (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (*.f64 (*.f64 c c) (/.f64 a (pow.f64 b #s(literal 4 binary64)))) #s(literal -3/8 binary64) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -3/2 (/ (* a c) b)) |
(*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a) |
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(*.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -27/16 binary64) a) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a) |
(* 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)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -27/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a) |
(pow b 2) |
(*.f64 b b) |
(+ (* -3 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b)) |
(+ (* -3 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b)) |
(+ (* -3 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b)) |
(* -1/2 (/ c b)) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(fma.f64 (*.f64 #s(literal -3/8 binary64) a) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(fma.f64 (fma.f64 (*.f64 a #s(literal -9/16 binary64)) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(+ (* -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))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(* 3 (* a c)) |
(*.f64 #s(literal 3 binary64) (*.f64 c a)) |
(* 3 (* a c)) |
(*.f64 #s(literal 3 binary64) (*.f64 c a)) |
(* 3 (* a c)) |
(*.f64 #s(literal 3 binary64) (*.f64 c a)) |
(* 3 (* a c)) |
(*.f64 #s(literal 3 binary64) (*.f64 c a)) |
(* (sqrt (* a c)) (sqrt -3)) |
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a))) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (neg.f64 b) a)) a) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64))))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (neg.f64 b) a))) 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))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) (*.f64 (pow.f64 a #s(literal 5 binary64)) c)))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/24 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64))))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (neg.f64 b) a)))) a) |
(* -3 (* a c)) |
(*.f64 #s(literal -3 binary64) (*.f64 c a)) |
(* a (- (/ (pow b 2) a) (* 3 c))) |
(*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a) |
(* a (- (/ (pow b 2) a) (* 3 c))) |
(*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a) |
(* a (- (/ (pow b 2) a) (* 3 c))) |
(*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a)) (*.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 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64))))) #s(literal 1/6 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a)) (*.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 #s(literal 1/72 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) (*.f64 (pow.f64 a #s(literal 5 binary64)) c)))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -3 binary64))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64))))) #s(literal 1/6 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 (/.f64 b a) #s(literal -1/3 binary64))))) |
(* 3 (* a c)) |
(*.f64 #s(literal 3 binary64) (*.f64 c a)) |
(* 3 (* a c)) |
(*.f64 #s(literal 3 binary64) (*.f64 c a)) |
(* 3 (* a c)) |
(*.f64 #s(literal 3 binary64) (*.f64 c a)) |
(* 3 (* a c)) |
(*.f64 #s(literal 3 binary64) (*.f64 c a)) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 (*.f64 c a)))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (/.f64 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)))))) |
(*.f64 (neg.f64 a) (-.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (neg.f64 b)) a))) |
(* -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)))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) a) c))) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal 3 binary64))) #s(literal -1/24 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 a c)))) a) b) a))) |
(* -3 (* a c)) |
(*.f64 #s(literal -3 binary64) (*.f64 c a)) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c)))) |
(*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c)))) |
(*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c)))) |
(*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (*.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 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (/.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))))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 #s(literal 1/3 binary64) b)) (neg.f64 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))))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal 1/3 binary64) b (/.f64 (fma.f64 #s(literal 1/72 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) a) c))) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 a c)))) (neg.f64 a))) (neg.f64 a))) |
(* 3 (* a c)) |
(*.f64 #s(literal 3 binary64) (*.f64 c a)) |
(* 3 (* a c)) |
(*.f64 #s(literal 3 binary64) (*.f64 c a)) |
(* 3 (* a c)) |
(*.f64 #s(literal 3 binary64) (*.f64 c a)) |
(* 3 (* a c)) |
(*.f64 #s(literal 3 binary64) (*.f64 c a)) |
| 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 (/.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (fma.f64 (*.f64 b b) b (*.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))))) |
(*.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 (*.f64 b b) b)) (-.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (fma.f64 b b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (neg.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))))) |
(*.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 (*.f64 b b) b)) (fma.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) b)) b (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (fma.f64 b b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))))) (fma.f64 (*.f64 (*.f64 b b) b) b (fma.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (fma.f64 b b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (*.f64 b b))))) |
(*.f64 (/.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))))) (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 (*.f64 b b) b))) |
(*.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) |
(*.f64 (fma.f64 (*.f64 b b) b (*.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))))))) |
(*.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (/.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
(*.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(*.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
(*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))))))) |
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(/.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) (*.f64 (*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) a) (fma.f64 b b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b) b) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 c a) #s(literal 9 binary64)) c) a (*.f64 (*.f64 (*.f64 b b) b) b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 (*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) a) (fma.f64 (*.f64 (*.f64 b b) b) b (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (fma.f64 b b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b) b) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 c a) #s(literal 9 binary64)) c) a (*.f64 (*.f64 (*.f64 b b) b) b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal 3 binary64)) a) (fma.f64 (*.f64 b b) b (*.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) #s(literal 3 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -3 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) |
(/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) a)) |
(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
(/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 c a) #s(literal 9 binary64)) c) a (*.f64 (*.f64 (*.f64 b b) b) b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b) b) (*.f64 (*.f64 b b) b))) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal 3 binary64)) a) (fma.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b) b)))) |
(/.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64)) (neg.f64 a)) |
(/.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (neg.f64 (*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) a))) |
(/.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 (*.f64 #s(literal -3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) |
(/.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
(/.f64 (fma.f64 (*.f64 b b) b (*.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (neg.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal 3 binary64)) a))) |
(/.f64 (fma.f64 (*.f64 b b) b (*.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (*.f64 (*.f64 #s(literal -3 binary64) a) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))))) |
(/.f64 (fma.f64 (*.f64 b b) b (*.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (*.f64 (*.f64 a #s(literal 3 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))))))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (neg.f64 (neg.f64 a))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) |
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal -3 binary64) a)) |
(/.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 #s(literal -3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
(/.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 #s(literal -3 binary64) a))) |
(/.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) a)) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (*.f64 #s(literal -3 binary64) a))) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 (*.f64 b b) b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 #s(literal -3 binary64) a) (neg.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))))))) |
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 (*.f64 b b) b)) (*.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))))) (*.f64 #s(literal -3 binary64) a))) |
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal 3 binary64)) a)) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (/.f64 #s(literal 1/3 binary64) a)))) |
(neg.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (/.f64 #s(literal 1/3 binary64) a))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 (/.f64 #s(literal 1/3 binary64) a) b)) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) a) b (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a) (*.f64 b (/.f64 #s(literal 1/3 binary64) a))) |
(fma.f64 b (/.f64 #s(literal 1/3 binary64) a) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a))) |
(-.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) a)) (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) a))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -3 binary64) a)) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (/.f64 #s(literal 1/3 binary64) a))) |
(-.f64 (/.f64 (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (*.f64 a #s(literal 3 binary64))) (/.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (*.f64 a #s(literal 3 binary64)))) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 a #s(literal 3 binary64))) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (/.f64 #s(literal 1/3 binary64) a))) |
(-.f64 #s(literal 0 binary64) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (/.f64 #s(literal 1/3 binary64) a))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a)) (*.f64 b (/.f64 #s(literal 1/3 binary64) a))) |
(+.f64 (*.f64 b (/.f64 #s(literal 1/3 binary64) a)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a))) |
(+.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 (/.f64 #s(literal 1/3 binary64) a) b)) |
(+.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) b) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(*.f64 (pow.f64 b #s(literal 1/2 binary64)) (pow.f64 b #s(literal 1/2 binary64))) |
(*.f64 #s(literal -1 binary64) b) |
(*.f64 #s(literal 1 binary64) b) |
(*.f64 (*.f64 (*.f64 b b) b) (/.f64 #s(literal 1 binary64) (*.f64 b b))) |
(*.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 b #s(literal -1 binary64)) |
(*.f64 b #s(literal 1 binary64)) |
(pow.f64 b #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 b b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 (*.f64 b b) b))) |
(/.f64 (*.f64 (*.f64 b b) b) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 b b) #s(literal 0 binary64)))) |
(/.f64 (*.f64 (*.f64 b b) b) (*.f64 b b)) |
(/.f64 (*.f64 b b) b) |
(neg.f64 b) |
(fma.f64 (pow.f64 b #s(literal 1/2 binary64)) (pow.f64 b #s(literal 1/2 binary64)) #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 (*.f64 (*.f64 b b) b) (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) b) #s(literal 0 binary64)) |
(fma.f64 b #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 b #s(literal 1 binary64) #s(literal 0 binary64)) |
(-.f64 (/.f64 #s(literal 0 binary64) b) b) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 b b)) b) |
(-.f64 #s(literal 0 binary64) b) |
(exp.f64 (*.f64 (log.f64 b) #s(literal 1 binary64))) |
(+.f64 #s(literal 0 binary64) b) |
(+.f64 b #s(literal 0 binary64)) |
b |
(*.f64 (*.f64 c #s(literal 3 binary64)) a) |
(*.f64 (*.f64 c a) #s(literal 3 binary64)) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(*.f64 (*.f64 a #s(literal 3 binary64)) c) |
(*.f64 a (*.f64 c #s(literal 3 binary64))) |
(*.f64 #s(literal 3 binary64) (*.f64 c a)) |
Compiled 20 413 to 1 847 computations (91% saved)
34 alts after pruning (34 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 520 | 34 | 554 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 521 | 34 | 555 |
| Status | Accuracy | Program |
|---|---|---|
| 30.2% | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 b b) b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) | |
| 29.7% | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 (*.f64 (*.f64 b b) b) b))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 29.9% | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 c a)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b) b))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 (*.f64 b b) b))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) | |
| 29.9% | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 c a)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b) b))) b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 (*.f64 b b) b) b))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 30.3% | (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64)) | |
| 30.3% | (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) | |
| 30.3% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) | |
| 30.2% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 b (/.f64 b c))) c)))) (*.f64 #s(literal 3 binary64) a)) | |
| 30.3% | (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))))))) (*.f64 #s(literal 3 binary64) a)) | |
| 30.3% | (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(literal 3 binary64)) | |
| 30.3% | (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) | |
| 94.8% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) a) #s(literal -27/16 binary64)) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (fma.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (*.f64 c (/.f64 c (*.f64 b b))) (fma.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) #s(literal -1/2 binary64) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 90.5% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 94.7% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (*.f64 (*.f64 a a) a) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (*.f64 (*.f64 b b) b))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) (*.f64 #s(literal 3 binary64) a)) | |
| 93.1% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) a) #s(literal -27/16 binary64)) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (*.f64 (*.f64 b b) b))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) (*.f64 #s(literal 3 binary64) a)) | |
| 90.5% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)) (*.f64 #s(literal 3 binary64) a)) | |
| 81.9% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a)) | |
| 30.3% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) | |
| 30.3% | (/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) a)) | |
| ▶ | 29.7% | (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64)))) |
| 30.3% | (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64)) | |
| 30.3% | (*.f64 (/.f64 (*.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a)) (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) | |
| 30.3% | (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) | |
| 30.3% | (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) | |
| 28.5% | (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) a))) | |
| ▶ | 95.3% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
| 93.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (*.f64 a #s(literal -9/16 binary64)) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) | |
| 91.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) | |
| ▶ | 91.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) b)) |
| 93.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c))) b)) | |
| 95.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) c) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) (*.f64 b a))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)) | |
| ▶ | 93.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)) |
| 90.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 c #s(literal -3/8 binary64)) (/.f64 a (*.f64 (*.f64 b b) b)) (/.f64 #s(literal -1/2 binary64) b)) c)) | |
| ▶ | 82.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
Compiled 2 334 to 1 234 computations (47.1% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)) | |
| cost-diff | 320 | (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) | |
| cost-diff | 0 | (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) | |
| cost-diff | 0 | (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) | |
| cost-diff | 1024 | (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64)))) | |
| cost-diff | 0 | (*.f64 #s(literal -3/8 binary64) a) | |
| cost-diff | 0 | (/.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) b) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) b)) | |
| cost-diff | 320 | (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) | |
| cost-diff | 0 | (/.f64 c b) | |
| cost-diff | 0 | (*.f64 (/.f64 c b) #s(literal -1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) | |
| cost-diff | 320 | (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) | |
| cost-diff | 320 | (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) | |
| cost-diff | 704 | (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) |
| 17 636× | lower-fma.f32 |
| 17 622× | lower-fma.f64 |
| 5 546× | lower-*.f32 |
| 5 510× | lower-*.f64 |
| 2 714× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 67 | 640 |
| 0 | 116 | 640 |
| 1 | 212 | 608 |
| 2 | 486 | 585 |
| 3 | 1266 | 571 |
| 4 | 2612 | 569 |
| 5 | 3566 | 569 |
| 6 | 4131 | 569 |
| 7 | 5236 | 569 |
| 0 | 8507 | 556 |
| 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 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) |
(*.f64 #s(literal -1/6 binary64) a) |
#s(literal -1/6 binary64) |
a |
(*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) |
(/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) |
(pow.f64 c #s(literal 4 binary64)) |
c |
#s(literal 4 binary64) |
(pow.f64 b #s(literal 6 binary64)) |
b |
#s(literal 6 binary64) |
(/.f64 #s(literal 405/64 binary64) b) |
#s(literal 405/64 binary64) |
(*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64)) |
(*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) |
(*.f64 c c) |
(/.f64 c (pow.f64 b #s(literal 5 binary64))) |
(pow.f64 b #s(literal 5 binary64)) |
#s(literal 5 binary64) |
#s(literal -9/16 binary64) |
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b)) |
(*.f64 (*.f64 c c) #s(literal -3/8 binary64)) |
#s(literal -3/8 binary64) |
(*.f64 (*.f64 b b) b) |
(*.f64 b b) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(/.f64 c b) |
#s(literal -1/2 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(/.f64 c b) |
c |
b |
#s(literal -1/2 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) b)) |
(/.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) b) |
(fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) |
(*.f64 #s(literal -3/8 binary64) a) |
#s(literal -3/8 binary64) |
a |
(*.f64 c (/.f64 c (*.f64 b b))) |
c |
(/.f64 c (*.f64 b b)) |
(*.f64 b b) |
b |
(*.f64 #s(literal -1/2 binary64) c) |
#s(literal -1/2 binary64) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64)))) |
(/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
(*.f64 #s(literal -3 binary64) c) |
#s(literal -3 binary64) |
c |
a |
(*.f64 b b) |
b |
(*.f64 a #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(/.f64 b (*.f64 a #s(literal 3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c) |
(fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) |
(fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) |
(*.f64 c #s(literal -9/16 binary64)) |
c |
#s(literal -9/16 binary64) |
(*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) |
a |
(/.f64 a (pow.f64 b #s(literal 5 binary64))) |
(pow.f64 b #s(literal 5 binary64)) |
b |
#s(literal 5 binary64) |
(*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) |
(/.f64 a (*.f64 (*.f64 b b) b)) |
(*.f64 (*.f64 b b) b) |
(*.f64 b b) |
#s(literal -3/8 binary64) |
(/.f64 #s(literal -1/2 binary64) b) |
#s(literal -1/2 binary64) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 a a) (fma.f64 #s(literal -135/128 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) a) (pow.f64 b #s(literal 7 binary64))) (*.f64 (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) (*.f64 (*.f64 c c) c))) (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) a) c #s(literal -1/2 binary64)) (/.f64 c b)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(fma.f64 (*.f64 a a) (fma.f64 #s(literal -135/128 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) a) (pow.f64 b #s(literal 7 binary64))) (*.f64 (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) (*.f64 (*.f64 c c) c))) (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) a) c #s(literal -1/2 binary64)) (/.f64 c b))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) |
(fma.f64 (*.f64 (/.f64 #s(literal -135/128 binary64) (pow.f64 b #s(literal 7 binary64))) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 c c) (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64)) c (/.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 b b) b))))) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) |
(fma.f64 #s(literal -135/128 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) a) (pow.f64 b #s(literal 7 binary64))) (*.f64 (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) (*.f64 (*.f64 c c) c))) |
(*.f64 #s(literal -1/6 binary64) a) |
#s(literal -1/6 binary64) |
a |
(*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64))) |
(/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) |
(pow.f64 c #s(literal 4 binary64)) |
c |
#s(literal 4 binary64) |
(pow.f64 b #s(literal 6 binary64)) |
b |
#s(literal 6 binary64) |
(/.f64 #s(literal 405/64 binary64) b) |
#s(literal 405/64 binary64) |
(*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64)) |
(*.f64 (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) (*.f64 (*.f64 c c) c)) |
(*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) |
(*.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 5 binary64))) c) c) |
(*.f64 c c) |
(/.f64 c (pow.f64 b #s(literal 5 binary64))) |
(pow.f64 b #s(literal 5 binary64)) |
#s(literal 5 binary64) |
#s(literal -9/16 binary64) |
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b)) |
(*.f64 (/.f64 c (*.f64 (*.f64 b b) b)) (*.f64 #s(literal -3/8 binary64) c)) |
(*.f64 (*.f64 c c) #s(literal -3/8 binary64)) |
(*.f64 #s(literal -3/8 binary64) (*.f64 c c)) |
#s(literal -3/8 binary64) |
(*.f64 (*.f64 b b) b) |
(*.f64 b b) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
(/.f64 c b) |
#s(literal -1/2 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c 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 (/.f64 c b) #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
(/.f64 c b) |
c |
b |
#s(literal -1/2 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) a) c #s(literal -1/2 binary64)) (/.f64 c b))) |
(/.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) b) |
(*.f64 (fma.f64 (*.f64 (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) a) c #s(literal -1/2 binary64)) (/.f64 c b)) |
(fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) |
(*.f64 (fma.f64 (*.f64 (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) a) c #s(literal -1/2 binary64)) c) |
(*.f64 #s(literal -3/8 binary64) a) |
#s(literal -3/8 binary64) |
a |
(*.f64 c (/.f64 c (*.f64 b b))) |
(*.f64 (/.f64 c (*.f64 b b)) c) |
c |
(/.f64 c (*.f64 b b)) |
(*.f64 b b) |
b |
(*.f64 #s(literal -1/2 binary64) c) |
#s(literal -1/2 binary64) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64)))) |
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal -3 binary64) a)) |
(/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
(*.f64 #s(literal -3 binary64) c) |
#s(literal -3 binary64) |
c |
a |
(*.f64 b b) |
b |
(*.f64 a #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(/.f64 b (*.f64 a #s(literal 3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 c a) (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64)) c (/.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 b b) b))) (/.f64 #s(literal -1/2 binary64) b)) c)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c) |
(*.f64 (fma.f64 (*.f64 c a) (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64)) c (/.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 b b) b))) (/.f64 #s(literal -1/2 binary64) b)) c) |
(fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) |
(fma.f64 (*.f64 c a) (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64)) c (/.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 b b) b))) (/.f64 #s(literal -1/2 binary64) b)) |
(fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) |
(*.f64 (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64)) c (/.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 b b) b))) a) |
(*.f64 c #s(literal -9/16 binary64)) |
(*.f64 #s(literal -9/16 binary64) c) |
c |
#s(literal -9/16 binary64) |
(*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) |
(*.f64 (/.f64 a (pow.f64 b #s(literal 5 binary64))) a) |
a |
(/.f64 a (pow.f64 b #s(literal 5 binary64))) |
(pow.f64 b #s(literal 5 binary64)) |
b |
#s(literal 5 binary64) |
(*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) |
(/.f64 a (*.f64 (*.f64 b b) b)) |
(*.f64 (*.f64 b b) b) |
(*.f64 b b) |
#s(literal -3/8 binary64) |
(/.f64 #s(literal -1/2 binary64) b) |
#s(literal -1/2 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.2734375 | (/.f64 a (pow.f64 b #s(literal 5 binary64))) | |
| accuracy | 0.28125 | (*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c) | |
| accuracy | 0.30078125 | (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) | |
| accuracy | 3.9036991513200228 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)) | |
| accuracy | 0.140625 | (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) | |
| accuracy | 0.26400375976844204 | (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) | |
| accuracy | 0.26953125 | (/.f64 b (*.f64 a #s(literal 3 binary64))) | |
| accuracy | 44.73465598285286 | (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64)))) | |
| accuracy | 0.0859375 | (/.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) b) | |
| accuracy | 0.23828125 | (/.f64 c (*.f64 b b)) | |
| accuracy | 0.25 | (*.f64 c (/.f64 c (*.f64 b b))) | |
| accuracy | 5.706814698925362 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) b)) | |
| accuracy | 0 | (/.f64 c b) | |
| accuracy | 0 | (*.f64 (/.f64 c b) #s(literal -1/2 binary64)) | |
| accuracy | 11.369357148007731 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) | |
| accuracy | 0.33431625976844204 | (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) | |
| accuracy | 0.34212875976844204 | (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) | |
| accuracy | 0.344413769536884 | (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b)) | |
| accuracy | 2.9041678785258607 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
| 201.0ms | 186× | 1 | valid |
| 35.0ms | 70× | 0 | valid |
Compiled 561 to 71 computations (87.3% saved)
ival-mult: 64.0ms (39.3% of total)ival-div: 31.0ms (19% of total)ival-pow: 20.0ms (12.3% of total)adjust: 16.0ms (9.8% of total)ival-add: 14.0ms (8.6% of total)ival-sqrt: 7.0ms (4.3% of total)ival-sub: 4.0ms (2.5% of total)const: 4.0ms (2.5% of total)exact: 1.0ms (0.6% of total)ival-neg: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (patch (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) (patch (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) (patch (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 c b) #s(literal -1/2 binary64)) (patch (*.f64 (/.f64 c b) #s(literal -1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 c b) (patch (/.f64 c b) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) (patch (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) b)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) b) (patch (/.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) b) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -3/8 binary64) a) (patch (*.f64 #s(literal -3/8 binary64) a) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64)))) (patch (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (patch (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) (patch (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c) (patch (*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) (patch (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b)) (patch (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b)) #<representation binary64>) () ()) |
#s(alt (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (patch (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 c (/.f64 c (*.f64 b b))) (patch (*.f64 c (/.f64 c (*.f64 b b))) #<representation binary64>) () ()) |
#s(alt (/.f64 c (*.f64 b b)) (patch (/.f64 c (*.f64 b b)) #<representation binary64>) () ()) |
#s(alt (/.f64 b (*.f64 a #s(literal 3 binary64))) (patch (/.f64 b (*.f64 a #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) (patch (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 a (pow.f64 b #s(literal 5 binary64))) (patch (/.f64 a (pow.f64 b #s(literal 5 binary64))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 405/64 (/ (pow c 4) (pow b 7))) (taylor 0 c) (#s(alt (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (patch (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) #<representation binary64>) () ())) ()) |
#s(alt (* 405/64 (/ (pow c 4) (pow b 7))) (taylor 0 c) (#s(alt (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (patch (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) #<representation binary64>) () ())) ()) |
#s(alt (* 405/64 (/ (pow c 4) (pow b 7))) (taylor 0 c) (#s(alt (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (patch (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) #<representation binary64>) () ())) ()) |
#s(alt (* 405/64 (/ (pow c 4) (pow b 7))) (taylor 0 c) (#s(alt (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (patch (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) #<representation binary64>) () ())) ()) |
#s(alt (* -3/8 (/ (pow c 2) (pow b 3))) (taylor 0 c) (#s(alt (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) (patch (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (- (* -9/16 (/ (* a c) (pow b 5))) (* 3/8 (/ 1 (pow b 3))))) (taylor 0 c) (#s(alt (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) (patch (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (- (* c (+ (* -135/128 (/ (* (pow a 2) c) (pow b 7))) (* -9/16 (/ a (pow b 5))))) (* 3/8 (/ 1 (pow b 3))))) (taylor 0 c) (#s(alt (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) (patch (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (- (* c (+ (* -135/128 (/ (* (pow a 2) c) (pow b 7))) (* -9/16 (/ a (pow b 5))))) (* 3/8 (/ 1 (pow b 3))))) (taylor 0 c) (#s(alt (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) (patch (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) #<representation binary64>) () ())) ()) |
#s(alt (* -9/16 (/ (pow c 3) (pow b 5))) (taylor 0 c) (#s(alt (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) (patch (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5))))) (taylor 0 c) (#s(alt (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) (patch (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5))))) (taylor 0 c) (#s(alt (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) (patch (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5))))) (taylor 0 c) (#s(alt (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) (patch (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ c b)) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ c b)) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -3/8 (/ (pow c 2) (* a (pow b 3)))))) (taylor -inf a) (#s(alt (*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c) (patch (*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5))))) (taylor -inf a) (#s(alt (*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c) (patch (*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5))))) (taylor -inf a) (#s(alt (*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c) (patch (*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c) #<representation binary64>) () ())) ()) |
#s(alt (* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 5))) (taylor -inf a) (#s(alt (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) (patch (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (* -9/16 (/ (pow c 2) (pow b 5))) (* -3/8 (/ c (* a (pow b 3)))))) (taylor -inf a) (#s(alt (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) (patch (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b)))) a)) (* -9/16 (/ (pow c 2) (pow b 5))))) (taylor -inf a) (#s(alt (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) (patch (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b)))) a)) (* -9/16 (/ (pow c 2) (pow b 5))))) (taylor -inf a) (#s(alt (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) (patch (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ b a)) (taylor -inf a) (#s(alt (/.f64 b (*.f64 a #s(literal 3 binary64))) (patch (/.f64 b (*.f64 a #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ b a)) (taylor -inf a) (#s(alt (/.f64 b (*.f64 a #s(literal 3 binary64))) (patch (/.f64 b (*.f64 a #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ b a)) (taylor -inf a) (#s(alt (/.f64 b (*.f64 a #s(literal 3 binary64))) (patch (/.f64 b (*.f64 a #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ b a)) (taylor -inf a) (#s(alt (/.f64 b (*.f64 a #s(literal 3 binary64))) (patch (/.f64 b (*.f64 a #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -3/8 (/ a (pow b 3))) (taylor -inf a) (#s(alt (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) (patch (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -3/8 (/ a (pow b 3))) (taylor -inf a) (#s(alt (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) (patch (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -3/8 (/ a (pow b 3))) (taylor -inf a) (#s(alt (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) (patch (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -3/8 (/ a (pow b 3))) (taylor -inf a) (#s(alt (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) (patch (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ a (pow b 5)) (taylor -inf a) (#s(alt (/.f64 a (pow.f64 b #s(literal 5 binary64))) (patch (/.f64 a (pow.f64 b #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ a (pow b 5)) (taylor -inf a) (#s(alt (/.f64 a (pow.f64 b #s(literal 5 binary64))) (patch (/.f64 a (pow.f64 b #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ a (pow b 5)) (taylor -inf a) (#s(alt (/.f64 a (pow.f64 b #s(literal 5 binary64))) (patch (/.f64 a (pow.f64 b #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ a (pow b 5)) (taylor -inf a) (#s(alt (/.f64 a (pow.f64 b #s(literal 5 binary64))) (patch (/.f64 a (pow.f64 b #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 43.0ms | a | @ | 0 | ((* (/ (pow c 4) (pow b 6)) (/ 405/64 b)) (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (* (* (* c c) (/ c (pow b 5))) -9/16)) a) (/ (* (* c c) -3/8) (* (* b b) b))) (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (* (* (* c c) (/ c (pow b 5))) -9/16)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (/ c b) -1/2) (/ c b) (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (* -3/8 a) (- (/ (sqrt (+ (* (* -3 c) a) (* b b))) (* a 3)) (/ b (* a 3))) (/ (sqrt (+ (* (* -3 c) a) (* b b))) (* a 3)) (sqrt (+ (* (* -3 c) a) (* b b))) (+ (* (* -3 c) a) (* b b)) (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) c) (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/ (* (* c c) -3/8) (* (* b b) b)) (/ (pow c 4) (pow b 6)) (* c (/ c (* b b))) (/ c (* b b)) (/ b (* a 3)) (* (/ a (* (* b b) b)) -3/8) (/ a (pow b 5))) |
| 19.0ms | b | @ | inf | ((* (/ (pow c 4) (pow b 6)) (/ 405/64 b)) (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (* (* (* c c) (/ c (pow b 5))) -9/16)) a) (/ (* (* c c) -3/8) (* (* b b) b))) (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (* (* (* c c) (/ c (pow b 5))) -9/16)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (/ c b) -1/2) (/ c b) (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (* -3/8 a) (- (/ (sqrt (+ (* (* -3 c) a) (* b b))) (* a 3)) (/ b (* a 3))) (/ (sqrt (+ (* (* -3 c) a) (* b b))) (* a 3)) (sqrt (+ (* (* -3 c) a) (* b b))) (+ (* (* -3 c) a) (* b b)) (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) c) (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/ (* (* c c) -3/8) (* (* b b) b)) (/ (pow c 4) (pow b 6)) (* c (/ c (* b b))) (/ c (* b b)) (/ b (* a 3)) (* (/ a (* (* b b) b)) -3/8) (/ a (pow b 5))) |
| 15.0ms | c | @ | 0 | ((* (/ (pow c 4) (pow b 6)) (/ 405/64 b)) (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (* (* (* c c) (/ c (pow b 5))) -9/16)) a) (/ (* (* c c) -3/8) (* (* b b) b))) (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (* (* (* c c) (/ c (pow b 5))) -9/16)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (/ c b) -1/2) (/ c b) (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (* -3/8 a) (- (/ (sqrt (+ (* (* -3 c) a) (* b b))) (* a 3)) (/ b (* a 3))) (/ (sqrt (+ (* (* -3 c) a) (* b b))) (* a 3)) (sqrt (+ (* (* -3 c) a) (* b b))) (+ (* (* -3 c) a) (* b b)) (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) c) (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/ (* (* c c) -3/8) (* (* b b) b)) (/ (pow c 4) (pow b 6)) (* c (/ c (* b b))) (/ c (* b b)) (/ b (* a 3)) (* (/ a (* (* b b) b)) -3/8) (/ a (pow b 5))) |
| 15.0ms | c | @ | -inf | ((* (/ (pow c 4) (pow b 6)) (/ 405/64 b)) (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (* (* (* c c) (/ c (pow b 5))) -9/16)) a) (/ (* (* c c) -3/8) (* (* b b) b))) (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (* (* (* c c) (/ c (pow b 5))) -9/16)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (/ c b) -1/2) (/ c b) (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (* -3/8 a) (- (/ (sqrt (+ (* (* -3 c) a) (* b b))) (* a 3)) (/ b (* a 3))) (/ (sqrt (+ (* (* -3 c) a) (* b b))) (* a 3)) (sqrt (+ (* (* -3 c) a) (* b b))) (+ (* (* -3 c) a) (* b b)) (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) c) (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/ (* (* c c) -3/8) (* (* b b) b)) (/ (pow c 4) (pow b 6)) (* c (/ c (* b b))) (/ c (* b b)) (/ b (* a 3)) (* (/ a (* (* b b) b)) -3/8) (/ a (pow b 5))) |
| 15.0ms | b | @ | 0 | ((* (/ (pow c 4) (pow b 6)) (/ 405/64 b)) (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (* (* (* c c) (/ c (pow b 5))) -9/16)) a) (/ (* (* c c) -3/8) (* (* b b) b))) (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (* (* (* c c) (/ c (pow b 5))) -9/16)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (/ c b) -1/2) (/ c b) (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (* -3/8 a) (- (/ (sqrt (+ (* (* -3 c) a) (* b b))) (* a 3)) (/ b (* a 3))) (/ (sqrt (+ (* (* -3 c) a) (* b b))) (* a 3)) (sqrt (+ (* (* -3 c) a) (* b b))) (+ (* (* -3 c) a) (* b b)) (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) c) (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/ (* (* c c) -3/8) (* (* b b) b)) (/ (pow c 4) (pow b 6)) (* c (/ c (* b b))) (/ c (* b b)) (/ b (* a 3)) (* (/ a (* (* b b) b)) -3/8) (/ a (pow b 5))) |
| 1× | egg-herbie |
| 12 496× | lower-fma.f64 |
| 12 496× | lower-fma.f32 |
| 9 060× | lower-*.f64 |
| 9 060× | lower-*.f32 |
| 3 886× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 858 | 14103 |
| 1 | 2679 | 13963 |
| 0 | 8414 | 13398 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* (pow c 2) (- (* -9/16 (/ (* a c) (pow b 5))) (* 3/8 (/ 1 (pow b 3))))) |
(* (pow c 2) (- (* c (+ (* -135/128 (/ (* (pow a 2) c) (pow b 7))) (* -9/16 (/ a (pow b 5))))) (* 3/8 (/ 1 (pow b 3))))) |
(* (pow c 2) (- (* c (+ (* -135/128 (/ (* (pow a 2) c) (pow b 7))) (* -9/16 (/ a (pow b 5))))) (* 3/8 (/ 1 (pow b 3))))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5))))) |
(* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5))))) |
(* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5))))) |
(* -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)))) |
(* -1/2 (/ 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)))) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ 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)) |
(* -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)))) |
(* -1/2 (/ 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)))) |
(* -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 (/ b a)) |
(+ (* -1/2 (/ c b)) (* 1/3 (/ b a))) |
(+ (* 1/3 (/ b a)) (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))) |
(+ (* 1/3 (/ b a)) (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))) |
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)))))))) |
(pow b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(* -3/8 (/ a (pow b 3))) |
(+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3)))) |
(+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3)))) |
(+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 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)))) |
(* -1/2 (/ 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 (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(/ -1/2 b) |
(- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))) |
(- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))) |
(- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 2) (pow b 2)) |
(/ (pow c 2) (pow b 2)) |
(/ (pow c 2) (pow b 2)) |
(/ (pow c 2) (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -9/16 (/ a (* (pow b 5) c))))) |
(* (pow c 4) (- (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -9/16 (/ a (* (pow b 5) c)))) (/ 3/8 (* (pow b 3) (pow c 2))))) |
(* (pow c 4) (- (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -9/16 (/ a (* (pow b 5) c)))) (/ 3/8 (* (pow b 3) (pow c 2))))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c))))) |
(* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c))))) |
(* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c))))) |
(* 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 -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))))))) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(* -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)))) |
(* 1/3 (* (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))))))) |
(* -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))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (- (+ (* 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 (/ b (* a c))))) |
(* 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 (/ b (* a c))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(* 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 (+ (* -1/24 (* (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)))))) |
(* c (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/48 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -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)))))) |
(* -3 (* a c)) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(* -9/16 (/ (* (pow a 2) c) (pow b 5))) |
(* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c))))) |
(* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c))))) |
(* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c))))) |
(* 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))))))) |
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5))) |
(* (pow c 3) (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c))))) |
(* (pow c 3) (- (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))) (/ 1/2 (* b (pow c 2))))) |
(* (pow c 3) (- (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))) (/ 1/2 (* b (pow c 2))))) |
(* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 5))) |
(* (pow c 2) (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c))))) |
(* (pow c 2) (- (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))) (/ 1/2 (* b (pow c 2))))) |
(* (pow c 2) (- (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))) (/ 1/2 (* b (pow c 2))))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 2) (pow b 2)) |
(/ (pow c 2) (pow b 2)) |
(/ (pow c 2) (pow b 2)) |
(/ (pow c 2) (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -9/16 (/ a (* (pow b 5) c))))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -1 (/ (+ (* 9/16 (/ a (pow b 5))) (* 3/8 (/ 1 (* (pow b 3) c)))) c)))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -1 (/ (+ (* 9/16 (/ a (pow b 5))) (* 3/8 (/ 1 (* (pow b 3) c)))) c)))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c))))) |
(* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c))))) |
(* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c))))) |
(* -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 (/ 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)) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(* -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)))) |
(* -1/3 (* (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)) (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))))) |
(* -1/3 (* (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 (/ (- (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (/ b a))) 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 (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))) |
(* -1 (* c (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/48 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (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)))))))) |
(* -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)))) |
(* -9/16 (/ (* (pow a 2) c) (pow b 5))) |
(* -1 (* c (+ (* 3/8 (/ a (* (pow b 3) c))) (* 9/16 (/ (pow a 2) (pow b 5)))))) |
(* -1 (* c (+ (* 3/8 (/ a (* (pow b 3) c))) (* 9/16 (/ (pow a 2) (pow b 5)))))) |
(* -1 (* c (+ (* 3/8 (/ a (* (pow b 3) c))) (* 9/16 (/ (pow a 2) (pow b 5)))))) |
(* -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))))))) |
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5))) |
(* -1 (* (pow c 3) (+ (* 3/8 (/ a (* (pow b 3) c))) (* 9/16 (/ (pow a 2) (pow b 5)))))) |
(* -1 (* (pow c 3) (+ (* -1 (/ (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* 9/16 (/ (pow a 2) (pow b 5)))))) |
(* -1 (* (pow c 3) (+ (* -1 (/ (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* 9/16 (/ (pow a 2) (pow b 5)))))) |
(* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 5))) |
(* (pow c 2) (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c))))) |
(* (pow c 2) (+ (* -1 (/ (+ (* 3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* -9/16 (/ (pow a 2) (pow b 5))))) |
(* (pow c 2) (+ (* -1 (/ (+ (* 3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* -9/16 (/ (pow a 2) (pow b 5))))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 2) (pow b 2)) |
(/ (pow c 2) (pow b 2)) |
(/ (pow c 2) (pow b 2)) |
(/ (pow c 2) (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7))) |
(/ (+ (* -135/128 (* (pow a 2) (pow c 4))) (* -9/16 (* a (* (pow b 2) (pow c 3))))) (pow b 7)) |
(/ (+ (* -135/128 (* (pow a 2) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2)))))) (pow b 7)) |
(/ (+ (* -135/128 (* (pow a 2) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2)))))) (pow b 7)) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(/ (+ (* -135/128 (* a (pow c 4))) (* -9/16 (* (pow b 2) (pow c 3)))) (pow b 7)) |
(/ (+ (* -135/128 (* a (pow c 4))) (* -9/16 (* (pow b 2) (pow c 3)))) (pow b 7)) |
(/ (+ (* -135/128 (* a (pow c 4))) (* -9/16 (* (pow b 2) (pow c 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))))) |
(* 1/3 (* (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 b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(* -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)) |
(* 1/3 (* (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))))) |
(* -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)) |
(* 1/3 (* (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))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -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 -3))) (* (pow b 2) (+ (* -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 (* (sqrt (/ c a)) (sqrt -3))) (* (pow b 2) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/48 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5))))))))) |
(* (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))))))))) |
(* -3 (* a c)) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(* -9/16 (/ (* (pow a 2) c) (pow b 5))) |
(/ (+ (* -9/16 (* (pow a 2) c)) (* -3/8 (* a (pow b 2)))) (pow b 5)) |
(/ (+ (* -9/16 (* (pow a 2) c)) (* -3/8 (* a (pow b 2)))) (pow b 5)) |
(/ (+ (* -9/16 (* (pow a 2) c)) (* -3/8 (* a (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))))) |
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5))) |
(/ (+ (* -9/16 (* (pow a 2) (pow c 3))) (* -3/8 (* a (* (pow b 2) (pow c 2))))) (pow b 5)) |
(/ (+ (* -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 5)) |
(/ (+ (* -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 5)) |
(* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 5))) |
(/ (+ (* -9/16 (* (pow a 2) (pow c 2))) (* -3/8 (* a (* (pow b 2) c)))) (pow b 5)) |
(/ (+ (* -9/16 (* (pow a 2) (pow c 2))) (* (pow b 2) (+ (* -1/2 (pow b 2)) (* -3/8 (* a c))))) (pow b 5)) |
(/ (+ (* -9/16 (* (pow a 2) (pow c 2))) (* (pow b 2) (+ (* -1/2 (pow b 2)) (* -3/8 (* a c))))) (pow b 5)) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 2) (pow b 2)) |
(/ (pow c 2) (pow b 2)) |
(/ (pow c 2) (pow b 2)) |
(/ (pow c 2) (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(* 1/3 (/ b a)) |
(* 1/3 (/ b a)) |
(* 1/3 (/ b a)) |
(* 1/3 (/ b a)) |
(* -3/8 (/ a (pow b 3))) |
(* -3/8 (/ a (pow b 3))) |
(* -3/8 (/ a (pow b 3))) |
(* -3/8 (/ a (pow b 3))) |
(/ a (pow b 5)) |
(/ a (pow b 5)) |
(/ a (pow b 5)) |
(/ a (pow b 5)) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/ (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2))) (pow b 3)) |
(/ (+ (* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 4))) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2)))) (pow b 3)) |
(/ (+ (* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 4))) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2)))) (pow b 3)) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(/ (+ (* -135/128 (/ (* a (pow c 4)) (pow b 2))) (* -9/16 (pow c 3))) (pow b 5)) |
(/ (+ (* -135/128 (/ (* a (pow c 4)) (pow b 2))) (* -9/16 (pow c 3))) (pow b 5)) |
(/ (+ (* -135/128 (/ (* a (pow c 4)) (pow b 2))) (* -9/16 (pow c 3))) (pow b 5)) |
(* -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) |
(* -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) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(* -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) (* -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) |
(* -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)) |
(/ (+ (* -1/2 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) |
(* 1/3 (/ b a)) |
(* b (+ (* -1/2 (/ c (pow b 2))) (* 1/3 (/ 1 a)))) |
(* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 1/3 (/ 1 a))))) |
(* 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))) (* 1/3 (/ 1 a)))))) |
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))))))) |
(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))))) |
(* -3/8 (/ a (pow b 3))) |
(/ (+ (* -9/16 (/ (* (pow a 2) c) (pow b 2))) (* -3/8 a)) (pow b 3)) |
(/ (+ (* -9/16 (/ (* (pow a 2) c) (pow b 2))) (* -3/8 a)) (pow b 3)) |
(/ (+ (* -9/16 (/ (* (pow a 2) c) (pow b 2))) (* -3/8 a)) (pow b 3)) |
(* -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) |
(* -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))))) b) |
(/ -1/2 b) |
(/ (- (* -3/8 (/ (* a c) (pow b 2))) 1/2) b) |
(/ (- (+ (* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -3/8 (/ (* a c) (pow b 2)))) 1/2) b) |
(/ (- (+ (* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -3/8 (/ (* a c) (pow b 2)))) 1/2) b) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 2) (pow b 2)) |
(/ (pow c 2) (pow b 2)) |
(/ (pow c 2) (pow b 2)) |
(/ (pow c 2) (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(* 1/3 (/ b a)) |
(* 1/3 (/ b a)) |
(* 1/3 (/ b a)) |
(* 1/3 (/ b a)) |
(* -3/8 (/ a (pow b 3))) |
(* -3/8 (/ a (pow b 3))) |
(* -3/8 (/ a (pow b 3))) |
(* -3/8 (/ a (pow b 3))) |
(/ a (pow b 5)) |
(/ a (pow b 5)) |
(/ a (pow b 5)) |
(/ a (pow b 5)) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -1 (/ (+ (* 3/8 (pow c 2)) (* 9/16 (/ (* a (pow c 3)) (pow b 2)))) (pow b 3))) |
(* -1 (/ (+ (* 3/8 (pow c 2)) (+ (* 9/16 (/ (* a (pow c 3)) (pow b 2))) (* 135/128 (/ (* (pow a 2) (pow c 4)) (pow b 4))))) (pow b 3))) |
(* -1 (/ (+ (* 3/8 (pow c 2)) (+ (* 9/16 (/ (* a (pow c 3)) (pow b 2))) (* 135/128 (/ (* (pow a 2) (pow c 4)) (pow b 4))))) (pow b 3))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -1 (/ (+ (* 9/16 (pow c 3)) (* 135/128 (/ (* a (pow c 4)) (pow b 2)))) (pow b 5))) |
(* -1 (/ (+ (* 9/16 (pow c 3)) (* 135/128 (/ (* a (pow c 4)) (pow b 2)))) (pow b 5))) |
(* -1 (/ (+ (* 9/16 (pow c 3)) (* 135/128 (/ (* a (pow c 4)) (pow b 2)))) (pow b 5))) |
(* -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))))))) |
(* -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)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(* -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)))) |
(* -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 (/ (+ (* 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)) |
(* -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))))))) |
(* -1/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 1/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 1/3 (/ 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))) (* 1/3 (/ 1 a))))))) |
(* -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)))))))) |
(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))))) |
(* -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)))) (pow b 3))) |
(* -1 (/ (+ (* 3/8 a) (* 9/16 (/ (* (pow a 2) c) (pow b 2)))) (pow b 3))) |
(* -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 (/ (+ (* 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))))) b)) |
(/ -1/2 b) |
(* -1 (/ (+ 1/2 (* 3/8 (/ (* a c) (pow b 2)))) b)) |
(* -1 (/ (+ 1/2 (+ (* 3/8 (/ (* a c) (pow b 2))) (* 9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4))))) b)) |
(* -1 (/ (+ 1/2 (+ (* 3/8 (/ (* a c) (pow b 2))) (* 9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4))))) b)) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 2) (pow b 2)) |
(/ (pow c 2) (pow b 2)) |
(/ (pow c 2) (pow b 2)) |
(/ (pow c 2) (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(* 1/3 (/ b a)) |
(* 1/3 (/ b a)) |
(* 1/3 (/ b a)) |
(* 1/3 (/ b a)) |
(* -3/8 (/ a (pow b 3))) |
(* -3/8 (/ a (pow b 3))) |
(* -3/8 (/ a (pow b 3))) |
(* -3/8 (/ a (pow b 3))) |
(/ a (pow b 5)) |
(/ a (pow b 5)) |
(/ a (pow b 5)) |
(/ a (pow b 5)) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))) |
(+ (* -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)))))) |
(+ (* -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)))))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))) |
(+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))) |
(+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))) |
(* -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))))))) |
(* -1/2 (/ 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))))))) |
(* -1/2 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))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) 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) |
(* -3/8 a) |
(* -3/8 a) |
(* -3/8 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 (/ b a)) |
(/ (+ (* -1/2 (/ (* a c) b)) (* 1/3 b)) a) |
(/ (+ (* 1/3 b) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))) a) |
(/ (+ (* 1/3 b) (* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))))) a) |
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)))))))) |
(pow b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(* -3/8 (/ a (pow b 3))) |
(* a (- (* -9/16 (/ (* a c) (pow b 5))) (* 3/8 (/ 1 (pow b 3))))) |
(* a (- (* -9/16 (/ (* a c) (pow b 5))) (* 3/8 (/ 1 (pow b 3))))) |
(* a (- (* -9/16 (/ (* a c) (pow b 5))) (* 3/8 (/ 1 (pow b 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 (+ (* -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))))))) |
(* -1/2 (/ 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 (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(/ -1/2 b) |
(- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))) |
(- (* a (+ (* -9/16 (/ (* a (pow c 2)) (pow b 5))) (* -3/8 (/ c (pow b 3))))) (* 1/2 (/ 1 b))) |
(- (* a (+ (* -9/16 (/ (* a (pow c 2)) (pow b 5))) (* -3/8 (/ c (pow b 3))))) (* 1/2 (/ 1 b))) |
(* 1/3 (/ b a)) |
(* 1/3 (/ b a)) |
(* 1/3 (/ b a)) |
(* 1/3 (/ b a)) |
(* -3/8 (/ a (pow b 3))) |
(* -3/8 (/ a (pow b 3))) |
(* -3/8 (/ a (pow b 3))) |
(* -3/8 (/ a (pow b 3))) |
(/ a (pow b 5)) |
(/ a (pow b 5)) |
(/ a (pow b 5)) |
(/ a (pow b 5)) |
(* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7))) |
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
(* (pow a 2) (+ (* -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 2) (+ (* -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))))))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* a (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
(* a (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
(* a (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
(* 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 -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)))))) |
(* -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))))) |
(* 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)))))) |
(* -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) |
(* -3/8 a) |
(* -3/8 a) |
(* -3/8 a) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(- (+ (* 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 (/ b a))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -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))))) |
(+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/48 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -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)))))) |
(* -3 (* a c)) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(* -9/16 (/ (* (pow a 2) c) (pow b 5))) |
(* (pow a 2) (- (* -9/16 (/ c (pow b 5))) (* 3/8 (/ 1 (* a (pow b 3)))))) |
(* (pow a 2) (- (* -9/16 (/ c (pow b 5))) (* 3/8 (/ 1 (* a (pow b 3)))))) |
(* (pow a 2) (- (* -9/16 (/ c (pow b 5))) (* 3/8 (/ 1 (* a (pow b 3)))))) |
(* 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)))))) |
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -3/8 (/ (pow c 2) (* a (pow b 3)))))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (+ (* -1/2 (/ c (* (pow a 2) b))) (* -3/8 (/ (pow c 2) (* a (pow b 3))))))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (+ (* -1/2 (/ c (* (pow a 2) b))) (* -3/8 (/ (pow c 2) (* a (pow b 3))))))) |
(* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 5))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 2) (pow b 5))) (* -3/8 (/ c (* a (pow b 3)))))) |
(* (pow a 2) (- (+ (* -9/16 (/ (pow c 2) (pow b 5))) (* -3/8 (/ c (* a (pow b 3))))) (/ 1/2 (* (pow a 2) b)))) |
(* (pow a 2) (- (+ (* -9/16 (/ (pow c 2) (pow b 5))) (* -3/8 (/ c (* a (pow b 3))))) (/ 1/2 (* (pow a 2) b)))) |
(* 1/3 (/ b a)) |
(* 1/3 (/ b a)) |
(* 1/3 (/ b a)) |
(* 1/3 (/ b a)) |
(* -3/8 (/ a (pow b 3))) |
(* -3/8 (/ a (pow b 3))) |
(* -3/8 (/ a (pow b 3))) |
(* -3/8 (/ a (pow b 3))) |
(/ a (pow b 5)) |
(/ a (pow b 5)) |
(/ a (pow b 5)) |
(/ a (pow b 5)) |
(* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7))) |
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -1 (/ (+ (* 3/8 (/ (pow c 2) (* a (pow b 3)))) (* 9/16 (/ (pow c 3) (pow b 5)))) a)))) |
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -1 (/ (+ (* 3/8 (/ (pow c 2) (* a (pow b 3)))) (* 9/16 (/ (pow c 3) (pow b 5)))) a)))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -1 (* a (+ (* 9/16 (/ (pow c 3) (* a (pow b 5)))) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(* -1 (* a (+ (* 9/16 (/ (pow c 3) (* a (pow b 5)))) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(* -1 (* a (+ (* 9/16 (/ (pow c 3) (* a (pow b 5)))) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(* -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))))) |
(* -1/3 (* (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))))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 2))) |
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a))))) |
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a))))) |
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a))))) |
(* -1/3 (* (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))))) |
(* -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) |
(* -3/8 a) |
(* -3/8 a) |
(* -3/8 a) |
(* -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))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (+ (* -1/48 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (* 1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 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)))))))) |
(* -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)))) |
(* -9/16 (/ (* (pow a 2) c) (pow b 5))) |
(* (pow a 2) (- (* -9/16 (/ c (pow b 5))) (* 3/8 (/ 1 (* a (pow b 3)))))) |
(* (pow a 2) (- (* -9/16 (/ c (pow b 5))) (* 3/8 (/ 1 (* a (pow b 3)))))) |
(* (pow a 2) (- (* -9/16 (/ c (pow b 5))) (* 3/8 (/ 1 (* a (pow b 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))))) |
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -3/8 (/ (pow c 2) (* a (pow b 3)))))) |
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5))))) |
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5))))) |
(* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 5))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 2) (pow b 5))) (* -3/8 (/ c (* a (pow b 3)))))) |
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b)))) a)) (* -9/16 (/ (pow c 2) (pow b 5))))) |
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b)))) a)) (* -9/16 (/ (pow c 2) (pow b 5))))) |
(* 1/3 (/ b a)) |
(* 1/3 (/ b a)) |
(* 1/3 (/ b a)) |
(* 1/3 (/ b a)) |
(* -3/8 (/ a (pow b 3))) |
(* -3/8 (/ a (pow b 3))) |
(* -3/8 (/ a (pow b 3))) |
(* -3/8 (/ a (pow b 3))) |
(/ a (pow b 5)) |
(/ a (pow b 5)) |
(/ a (pow b 5)) |
(/ a (pow b 5)) |
| Outputs |
|---|
(* 405/64 (/ (pow c 4) (pow b 7))) |
(/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 7 binary64))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 7 binary64))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 7 binary64))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 7 binary64))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b)) |
(* (pow c 2) (- (* -9/16 (/ (* a c) (pow b 5))) (* 3/8 (/ 1 (pow b 3))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 b b) b))) (*.f64 c c)) |
(* (pow c 2) (- (* c (+ (* -135/128 (/ (* (pow a 2) c) (pow b 7))) (* -9/16 (/ a (pow b 5))))) (* 3/8 (/ 1 (pow b 3))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -135/128 binary64) a) a) (/.f64 c (pow.f64 b #s(literal 7 binary64))) (*.f64 (/.f64 a (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64))) c (/.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 b b) b))) (*.f64 c c)) |
(* (pow c 2) (- (* c (+ (* -135/128 (/ (* (pow a 2) c) (pow b 7))) (* -9/16 (/ a (pow b 5))))) (* 3/8 (/ 1 (pow b 3))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -135/128 binary64) a) a) (/.f64 c (pow.f64 b #s(literal 7 binary64))) (*.f64 (/.f64 a (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64))) c (/.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 b b) b))) (*.f64 c c)) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(/.f64 (*.f64 (*.f64 (*.f64 c c) c) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64))) |
(* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) a) (/.f64 c (pow.f64 b #s(literal 7 binary64))) (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64)))) (*.f64 (*.f64 c c) c)) |
(* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) a) (/.f64 c (pow.f64 b #s(literal 7 binary64))) (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64)))) (*.f64 (*.f64 c c) c)) |
(* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) a) (/.f64 c (pow.f64 b #s(literal 7 binary64))) (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64)))) (*.f64 (*.f64 c c) c)) |
(* -1/2 (/ c b)) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -9/16 binary64) a) a) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c) |
(* 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 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) c) (/.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 a b)) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c) |
(* -1/2 (/ c b)) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -9/16 binary64) a) a) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c) |
(* 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 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) c) (/.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 a b)) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c) |
(* -1/2 (/ c b)) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(* -1/2 (/ c b)) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(* -1/2 (/ c b)) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(* -1/2 (/ c b)) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(/ c b) |
(/.f64 c b) |
(/ c b) |
(/.f64 c b) |
(/ c b) |
(/.f64 c b) |
(/ c b) |
(/.f64 c b) |
(* -1/2 c) |
(*.f64 #s(literal -1/2 binary64) c) |
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2)) |
(*.f64 (fma.f64 (*.f64 a #s(literal -3/8 binary64)) (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64)) c) |
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2)) |
(*.f64 (fma.f64 (*.f64 a #s(literal -3/8 binary64)) (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64)) c) |
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2)) |
(*.f64 (fma.f64 (*.f64 a #s(literal -3/8 binary64)) (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64)) c) |
(* -1/2 (/ c b)) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -9/16 binary64) a) a) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c) |
(* 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 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) c) (/.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 a b)) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c) |
(* -1/2 (/ c b)) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c) |
(* -1/2 (/ c b)) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -9/16 binary64) a) a) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c) |
(* 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 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) c) (/.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 a b)) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c) |
(* 1/3 (/ b a)) |
(*.f64 (/.f64 b a) #s(literal 1/3 binary64)) |
(+ (* -1/2 (/ c b)) (* 1/3 (/ b a))) |
(fma.f64 (/.f64 b a) #s(literal 1/3 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(+ (* 1/3 (/ b a)) (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c (*.f64 (/.f64 b a) #s(literal 1/3 binary64))) |
(+ (* 1/3 (/ b a)) (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -9/16 binary64) a) a) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c (*.f64 (/.f64 b a) #s(literal 1/3 binary64))) |
b |
(+ b (* -3/2 (/ (* a c) b))) |
(fma.f64 (*.f64 #s(literal -3/2 binary64) a) (/.f64 c b) b) |
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) c) (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c 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 (fma.f64 (fma.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 (*.f64 a a) a)) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (*.f64 (*.f64 b b) b))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c b) |
(pow b 2) |
(*.f64 b b) |
(+ (* -3 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)) |
(+ (* -3 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)) |
(+ (* -3 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)) |
(* -3/8 (/ a (pow b 3))) |
(*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) |
(+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3)))) |
(fma.f64 (*.f64 (*.f64 #s(literal -9/16 binary64) a) a) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) |
(+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3)))) |
(fma.f64 (*.f64 (*.f64 #s(literal -9/16 binary64) a) a) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) |
(+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3)))) |
(fma.f64 (*.f64 (*.f64 #s(literal -9/16 binary64) a) a) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) |
(* -1/2 (/ c b)) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -9/16 binary64) a) a) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c) |
(* 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 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) c) (/.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 a b)) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c) |
(* -1/2 (/ c b)) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -9/16 binary64) a) a) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -9/16 binary64) a) a) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c) |
(/ -1/2 b) |
(/.f64 #s(literal -1/2 binary64) b) |
(- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))) |
(fma.f64 (/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) |
(- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -9/16 binary64) a) a) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) |
(- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -9/16 binary64) a) a) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b)) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
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(* -3/8 a) |
(*.f64 a #s(literal -3/8 binary64)) |
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(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
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b |
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(pow b 2) |
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(/ -1/2 b) |
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(- (* a (+ (* -9/16 (/ (* a (pow c 2)) (pow b 5))) (* -3/8 (/ c (pow b 3))))) (* 1/2 (/ 1 b))) |
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(* 1/3 (/ b a)) |
(*.f64 (/.f64 b a) #s(literal 1/3 binary64)) |
(* 1/3 (/ b a)) |
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(* 1/3 (/ b a)) |
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(* 1/3 (/ b a)) |
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(* -3/8 (/ a (pow b 3))) |
(*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) |
(* -3/8 (/ a (pow b 3))) |
(*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) |
(* -3/8 (/ a (pow b 3))) |
(*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) |
(* -3/8 (/ a (pow b 3))) |
(*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) |
(/ a (pow b 5)) |
(/.f64 a (pow.f64 b #s(literal 5 binary64))) |
(/ a (pow b 5)) |
(/.f64 a (pow.f64 b #s(literal 5 binary64))) |
(/ a (pow b 5)) |
(/.f64 a (pow.f64 b #s(literal 5 binary64))) |
(/ a (pow b 5)) |
(/.f64 a (pow.f64 b #s(literal 5 binary64))) |
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(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
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(* (pow a 2) (+ (* -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))))))) |
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(* (pow a 2) (+ (* -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))))))) |
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(fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal 1/3 binary64) b (/.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a c) c) c))) (*.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 a c)))) (neg.f64 a))) (neg.f64 a))) |
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5))) |
(*.f64 (*.f64 a #s(literal -9/16 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 a c) c) c) (pow.f64 b #s(literal 5 binary64)))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -3/8 (/ (pow c 2) (* a (pow b 3)))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 c c) (*.f64 (*.f64 (*.f64 b b) a) b)) #s(literal -3/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 c c) c) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 a a)) |
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) c) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (/.f64 (fma.f64 (/.f64 c (*.f64 a b)) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b))) (neg.f64 a))) (*.f64 a a)) |
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) c) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (/.f64 (fma.f64 (/.f64 c (*.f64 a b)) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b))) (neg.f64 a))) (*.f64 a a)) |
(* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 5))) |
(*.f64 (*.f64 a #s(literal -9/16 binary64)) (/.f64 (*.f64 (*.f64 a c) c) (pow.f64 b #s(literal 5 binary64)))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 2) (pow b 5))) (* -3/8 (/ c (* a (pow b 3)))))) |
(*.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) a) b)) #s(literal -3/8 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 a a)) |
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b)))) a)) (* -9/16 (/ (pow c 2) (pow b 5))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (/.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 b b) b)) #s(literal 3/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 a b))) (neg.f64 a))) (*.f64 a a)) |
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b)))) a)) (* -9/16 (/ (pow c 2) (pow b 5))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (/.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 b b) b)) #s(literal 3/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 a b))) (neg.f64 a))) (*.f64 a a)) |
(* 1/3 (/ b a)) |
(*.f64 (/.f64 b a) #s(literal 1/3 binary64)) |
(* 1/3 (/ b a)) |
(*.f64 (/.f64 b a) #s(literal 1/3 binary64)) |
(* 1/3 (/ b a)) |
(*.f64 (/.f64 b a) #s(literal 1/3 binary64)) |
(* 1/3 (/ b a)) |
(*.f64 (/.f64 b a) #s(literal 1/3 binary64)) |
(* -3/8 (/ a (pow b 3))) |
(*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) |
(* -3/8 (/ a (pow b 3))) |
(*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) |
(* -3/8 (/ a (pow b 3))) |
(*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) |
(* -3/8 (/ a (pow b 3))) |
(*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) |
(/ a (pow b 5)) |
(/.f64 a (pow.f64 b #s(literal 5 binary64))) |
(/ a (pow b 5)) |
(/.f64 a (pow.f64 b #s(literal 5 binary64))) |
(/ a (pow b 5)) |
(/.f64 a (pow.f64 b #s(literal 5 binary64))) |
(/ a (pow b 5)) |
(/.f64 a (pow.f64 b #s(literal 5 binary64))) |
| 5 026× | lower-*.f32 |
| 4 990× | lower-*.f64 |
| 4 162× | lower-fma.f32 |
| 4 148× | lower-fma.f64 |
| 3 090× | lower-pow.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 67 | 453 |
| 0 | 116 | 433 |
| 1 | 442 | 411 |
| 2 | 3626 | 403 |
| 0 | 8333 | 403 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(/.f64 c b) |
(fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) b)) |
(/.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) b) |
(*.f64 #s(literal -3/8 binary64) a) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64)))) |
(/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
(fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c) |
(fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) |
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b)) |
(/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) |
(*.f64 c (/.f64 c (*.f64 b b))) |
(/.f64 c (*.f64 b b)) |
(/.f64 b (*.f64 a #s(literal 3 binary64))) |
(*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) |
(/.f64 a (pow.f64 b #s(literal 5 binary64))) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (*.f64 (*.f64 b b) b)) (/.f64 (/.f64 #s(literal 405/64 binary64) b) (*.f64 (*.f64 b b) b))) |
(*.f64 (*.f64 (/.f64 #s(literal 405/64 binary64) b) (*.f64 (*.f64 (*.f64 c c) c) c)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))) |
(*.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))) |
(*.f64 (/.f64 #s(literal 405/64 binary64) b) (/.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))) |
(*.f64 #s(literal 405/64 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))))) |
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))) (/.f64 #s(literal 405/64 binary64) b)) |
(*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 (/.f64 #s(literal 405/64 binary64) b) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))) |
(*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))) |
(*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))) (/.f64 #s(literal 405/64 binary64) b))) |
(pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) (*.f64 (/.f64 #s(literal 405/64 binary64) b) (*.f64 (*.f64 (*.f64 c c) c) c))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 b (/.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (*.f64 b #s(literal 64/405 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 c c) c) c))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 c c) c) c)) (*.f64 b #s(literal 64/405 binary64))) #s(literal -1 binary64)) |
(/.f64 (/.f64 (*.f64 (/.f64 #s(literal 405/64 binary64) b) (*.f64 (*.f64 (*.f64 c c) c) c)) (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 b b) b)) |
(/.f64 (*.f64 #s(literal -405/64 binary64) (/.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))) (neg.f64 b)) |
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 c c) c) c)) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))) |
(/.f64 (*.f64 (/.f64 #s(literal 405/64 binary64) b) #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 c c) c) c))) |
(/.f64 (*.f64 (/.f64 #s(literal 405/64 binary64) b) (neg.f64 (*.f64 (*.f64 (*.f64 c c) c) c))) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))) |
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))) #s(literal 1 binary64)) (*.f64 b #s(literal 64/405 binary64))) |
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))) #s(literal -405/64 binary64)) (neg.f64 b)) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 405/64 binary64) b) (*.f64 (*.f64 (*.f64 c c) c) c))) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))) |
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))) (neg.f64 b)) |
(/.f64 (neg.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64)))) (neg.f64 (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 c c) c) c))) (*.f64 (*.f64 b #s(literal 64/405 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) c)) (*.f64 (*.f64 b #s(literal 64/405 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))) |
(/.f64 (*.f64 #s(literal -405/64 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 c c) c) c))) (*.f64 (neg.f64 b) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))) |
(/.f64 (*.f64 #s(literal -405/64 binary64) (*.f64 (*.f64 (*.f64 c c) c) c)) (*.f64 (neg.f64 b) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 c c) c) c))) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b))) |
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 c c) c) c)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) (*.f64 b #s(literal 64/405 binary64)))) |
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 c c) c) c)) #s(literal -405/64 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) (neg.f64 b))) |
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 c c) c) c)) #s(literal 405/64 binary64)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b))) |
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) (*.f64 b #s(literal 64/405 binary64)))) |
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) #s(literal -405/64 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) (neg.f64 b))) |
(/.f64 (*.f64 (/.f64 #s(literal 405/64 binary64) b) (*.f64 (*.f64 (*.f64 c c) c) c)) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))) |
(/.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))) b) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) (*.f64 (/.f64 #s(literal 405/64 binary64) b) (*.f64 (*.f64 (*.f64 c c) c) c)))) |
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b #s(literal 64/405 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 c c) c) c)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 c c) c) c)) (*.f64 b #s(literal 64/405 binary64)))) |
(/.f64 #s(literal -405/64 binary64) (*.f64 (neg.f64 b) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 c c) c) c)))) |
(/.f64 #s(literal -405/64 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 c c) c) c)) (neg.f64 b))) |
(/.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) #s(literal 405/64 binary64))) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b))) |
(/.f64 (/.f64 #s(literal 405/64 binary64) b) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 c c) c) c))) |
(/.f64 #s(literal 405/64 binary64) (*.f64 b (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 c c) c) c)))) |
(/.f64 #s(literal 405/64 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 c c) c) c)) b)) |
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))) (*.f64 b #s(literal 64/405 binary64))) |
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(*.f64 c (*.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -3/8 binary64) b))) |
(*.f64 c (*.f64 (*.f64 #s(literal -3/8 binary64) c) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) b)))) |
(*.f64 c (*.f64 c (/.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 b b) b)))) |
(pow.f64 (/.f64 b (*.f64 #s(literal -3/8 binary64) (*.f64 (/.f64 c (*.f64 b b)) c))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (*.f64 b b) (/.f64 b (*.f64 #s(literal -3/8 binary64) (*.f64 c c)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (*.f64 b b) (/.f64 b (*.f64 #s(literal -3/8 binary64) (*.f64 c c)))) #s(literal -1 binary64)) |
(/.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) b) (*.f64 b b)) |
(/.f64 (*.f64 (*.f64 c c) (/.f64 #s(literal -3/8 binary64) b)) (*.f64 b b)) |
(/.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) b) |
(/.f64 (neg.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 (/.f64 c (*.f64 b b)) c))) (neg.f64 b)) |
(/.f64 (neg.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 c c))) (*.f64 (*.f64 b b) b)) |
(/.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) #s(literal 1 binary64)) (*.f64 (*.f64 b b) b)) |
(/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 (/.f64 c (*.f64 b b)) c)) b) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 b b) (/.f64 b (*.f64 #s(literal -3/8 binary64) (*.f64 c c)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 #s(literal -3/8 binary64) (*.f64 (/.f64 c (*.f64 b b)) c)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 b b) (/.f64 b (*.f64 #s(literal -3/8 binary64) (*.f64 c c)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (/.f64 b (*.f64 #s(literal -3/8 binary64) (*.f64 c c))))) |
(/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b)) |
(/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b)) |
(neg.f64 (*.f64 (/.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 b b) b)) (*.f64 c c))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 b b) (/.f64 b (*.f64 #s(literal -3/8 binary64) (*.f64 c c))))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (*.f64 b b) b) (*.f64 c c)) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 b b) b) (*.f64 c c)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) b)) (pow.f64 (/.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 c c) c) c)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) c)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))) (*.f64 (*.f64 (*.f64 c c) c) c)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))) |
(*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 c c) c) c)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))) |
(*.f64 (*.f64 c c) (/.f64 (*.f64 c c) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))) |
(*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))))) |
(*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))) |
(pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 c c) c) c)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 c c) c) c)) #s(literal -1 binary64)) |
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 b b) b)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 (*.f64 c c) c) c))) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))) |
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 c c) c) c)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 c c) c) c)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 c c) c) c))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 c c) c) c)) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))) |
(/.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))) |
(neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))) |
(exp.f64 (-.f64 (*.f64 (log.f64 c) #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 b)) #s(literal 3 binary64)))) |
(exp.f64 (neg.f64 (-.f64 (*.f64 (log.f64 b) #s(literal 6 binary64)) (*.f64 (log.f64 c) #s(literal 4 binary64))))) |
(exp.f64 (+.f64 (neg.f64 (*.f64 (log.f64 b) #s(literal 6 binary64))) (*.f64 (log.f64 c) #s(literal 4 binary64)))) |
(exp.f64 (fma.f64 (log.f64 c) #s(literal 4 binary64) (neg.f64 (*.f64 (log.f64 b) #s(literal 6 binary64))))) |
(exp.f64 (*.f64 (-.f64 (*.f64 (log.f64 b) #s(literal 6 binary64)) (*.f64 (log.f64 c) #s(literal 4 binary64))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 c c) c) c))) #s(literal -1 binary64))) |
(exp.f64 (-.f64 (*.f64 (log.f64 c) #s(literal 4 binary64)) (*.f64 (log.f64 b) #s(literal 6 binary64)))) |
(*.f64 (/.f64 (neg.f64 c) b) (/.f64 (neg.f64 c) b)) |
(*.f64 (/.f64 c (neg.f64 b)) (/.f64 c (neg.f64 b))) |
(*.f64 (/.f64 c (*.f64 b b)) c) |
(*.f64 (/.f64 c b) (/.f64 c b)) |
(*.f64 (*.f64 c c) (/.f64 #s(literal 1 binary64) (*.f64 b b))) |
(*.f64 c (/.f64 c (*.f64 b b))) |
(pow.f64 (*.f64 (/.f64 b c) (/.f64 b c)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 b b) (*.f64 c c)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 b c) #s(literal -2 binary64)) |
(pow.f64 (/.f64 c b) #s(literal 2 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) c) (*.f64 b (/.f64 b c))) |
(/.f64 (*.f64 (neg.f64 c) c) (*.f64 (neg.f64 b) b)) |
(/.f64 (*.f64 (/.f64 c b) c) b) |
(/.f64 (*.f64 c (/.f64 c b)) b) |
(/.f64 (*.f64 c (neg.f64 c)) (*.f64 (neg.f64 b) b)) |
(/.f64 (*.f64 c #s(literal 1 binary64)) (*.f64 b (/.f64 b c))) |
(/.f64 (/.f64 (*.f64 c c) b) b) |
(/.f64 (neg.f64 (*.f64 c c)) (*.f64 (neg.f64 b) b)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 c c))) |
(/.f64 (*.f64 c c) (*.f64 b b)) |
(/.f64 c (*.f64 b (/.f64 b c))) |
(exp.f64 (-.f64 (*.f64 (log.f64 c) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (pow.f64 (/.f64 #s(literal 1 binary64) c) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) c) |
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 c b)) |
(*.f64 #s(literal 1 binary64) (/.f64 c (*.f64 b b))) |
(*.f64 (neg.f64 c) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 b) b))) |
(*.f64 (/.f64 c b) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 c (/.f64 #s(literal 1 binary64) (*.f64 b b))) |
(pow.f64 (*.f64 (/.f64 b c) b) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 b (/.f64 b c)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 b (/.f64 c b)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 b (/.f64 b c)) #s(literal -1 binary64)) |
(/.f64 (*.f64 c #s(literal 1 binary64)) (*.f64 b b)) |
(/.f64 (neg.f64 (neg.f64 c)) (*.f64 b b)) |
(/.f64 (neg.f64 (/.f64 c b)) (neg.f64 b)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 b (/.f64 b c)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b (/.f64 b c)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 c b))) |
(/.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b c))) |
(/.f64 (neg.f64 c) (*.f64 (neg.f64 b) b)) |
(/.f64 (/.f64 c b) b) |
(/.f64 c (*.f64 b b)) |
(neg.f64 (/.f64 (neg.f64 c) (*.f64 b b))) |
(neg.f64 (/.f64 c (*.f64 (neg.f64 b) b))) |
(exp.f64 (*.f64 (log.f64 (*.f64 b (/.f64 b c))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 #s(literal 3 binary64) b) #s(literal -1 binary64))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 b a)) |
(*.f64 (/.f64 b a) #s(literal 1/3 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 b (*.f64 #s(literal -3 binary64) a))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) b) |
(*.f64 #s(literal 1 binary64) (/.f64 b (*.f64 #s(literal 3 binary64) a))) |
(*.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a))) |
(*.f64 b (/.f64 #s(literal 1/3 binary64) a)) |
(pow.f64 (/.f64 #s(literal 3 binary64) (/.f64 b a)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) b) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) b) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 b))) (*.f64 #s(literal -3 binary64) a)) |
(/.f64 (/.f64 b #s(literal 3 binary64)) a) |
(/.f64 (neg.f64 (/.f64 b a)) #s(literal -3 binary64)) |
(/.f64 (neg.f64 (neg.f64 b)) (neg.f64 (*.f64 #s(literal -3 binary64) a))) |
(/.f64 (*.f64 b #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 b a) #s(literal 3 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) b))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (/.f64 b a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) b) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) a) b)) |
(/.f64 (neg.f64 b) (*.f64 #s(literal -3 binary64) a)) |
(/.f64 b (*.f64 #s(literal 3 binary64) a)) |
(neg.f64 (/.f64 b (*.f64 #s(literal -3 binary64) a))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -3 binary64) a)) (/.f64 b (*.f64 #s(literal -3 binary64) a))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) b)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) (/.f64 a b)) |
(*.f64 (/.f64 a b) (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) |
(*.f64 (/.f64 a (*.f64 b b)) (/.f64 #s(literal -3/8 binary64) b)) |
(*.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a (*.f64 b b))) |
(*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) |
(*.f64 (*.f64 #s(literal -3/8 binary64) a) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) b))) |
(*.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 (*.f64 b b) b))) |
(*.f64 a (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) |
(*.f64 a (/.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 b b) b))) |
(pow.f64 (/.f64 (*.f64 (*.f64 b b) b) (*.f64 #s(literal -3/8 binary64) a)) #s(literal -1 binary64)) |
(/.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 b b)) b) |
(/.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (*.f64 b b)) |
(/.f64 (*.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64)) b) |
(/.f64 (*.f64 (neg.f64 a) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b)) |
(/.f64 (*.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 b b))) b) |
(/.f64 (*.f64 #s(literal -3/8 binary64) (neg.f64 a)) (*.f64 (*.f64 b b) b)) |
(/.f64 (neg.f64 (*.f64 #s(literal -3/8 binary64) a)) (*.f64 (*.f64 b b) b)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 b b) b) (*.f64 #s(literal -3/8 binary64) a))) |
(/.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 (*.f64 b b) b)) |
(/.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 (*.f64 b b) b) a)) |
(*.f64 (pow.f64 b #s(literal -5/2 binary64)) (pow.f64 (/.f64 (pow.f64 b #s(literal 5/2 binary64)) a) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) a) |
(*.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b)))) |
(*.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))))) |
(*.f64 a (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b)))) |
(pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b)) a) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b)) a) #s(literal -1 binary64)) |
(/.f64 (*.f64 a #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) |
(/.f64 (/.f64 a (pow.f64 b #s(literal 5/2 binary64))) (pow.f64 b #s(literal 5/2 binary64))) |
(/.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b)) a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b)) a) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b)) a)) |
(/.f64 (neg.f64 a) (neg.f64 (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b)))) |
(/.f64 a (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) |
(neg.f64 (/.f64 (neg.f64 a) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b)))) |
(neg.f64 (/.f64 a (neg.f64 (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b)) a)) #s(literal -1 binary64))) |
Compiled 59 640 to 3 491 computations (94.1% saved)
63 alts after pruning (60 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 536 | 46 | 1 582 |
| Fresh | 15 | 14 | 29 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 553 | 63 | 1 616 |
| Status | Accuracy | Program |
|---|---|---|
| 32.4% | (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) a) #s(literal 1/3 binary64) (/.f64 b (*.f64 #s(literal -3 binary64) a))) | |
| 32.7% | (fma.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (/.f64 b (*.f64 #s(literal -3 binary64) a))) | |
| ▶ | 31.9% | (fma.f64 (neg.f64 b) (/.f64 #s(literal 1/3 binary64) a) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))))) |
| 31.7% | (/.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (*.f64 (*.f64 #s(literal -3 binary64) a) b)) (*.f64 #s(literal 9 binary64) (*.f64 a a))) | |
| 31.1% | (/.f64 (/.f64 (-.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (*.f64 b b)) (*.f64 #s(literal 9 binary64) (*.f64 a a))) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))) | |
| 30.8% | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 (*.f64 a a) a) #s(literal 27 binary64))) (fma.f64 (/.f64 b (*.f64 #s(literal 3 binary64) a)) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)) (/.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (*.f64 #s(literal 9 binary64) (*.f64 a a))))) | |
| 30.2% | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 b b) b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) | |
| 29.7% | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 (*.f64 (*.f64 b b) b) b))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 29.9% | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 c a)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b) b))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 (*.f64 b b) b))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) | |
| 29.9% | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 c a)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b) b))) b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 (*.f64 b b) b) b))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 30.3% | (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b) a) #s(literal 3 binary64)) | |
| 29.9% | (/.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) #s(literal 3 binary64)) (/.f64 b #s(literal 3 binary64))) a) | |
| 30.1% | (/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) a) (/.f64 (*.f64 #s(literal 3 binary64) a) b)) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 #s(literal 3 binary64) a) b))) | |
| 30.3% | (/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) a) (*.f64 #s(literal 3 binary64) a)) (*.f64 #s(literal 3 binary64) b)) (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) a))) | |
| 29.5% | (/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) a) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (/.f64 b a))) #s(literal 9 binary64)) | |
| 29.7% | (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (/.f64 (*.f64 #s(literal 3 binary64) a) b)) (*.f64 (*.f64 #s(literal 3 binary64) a) #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) a) (/.f64 (*.f64 #s(literal 3 binary64) a) b))) | |
| 30.0% | (/.f64 (-.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal -3 binary64) a)) (*.f64 (*.f64 #s(literal -3 binary64) a) (neg.f64 b))) (*.f64 #s(literal 9 binary64) (*.f64 a a))) | |
| 31.2% | (/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))))) | |
| 30.2% | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)) (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) b)) (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))) | |
| 30.3% | (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) | |
| 29.8% | (/.f64 (-.f64 (neg.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) a)) (neg.f64 (/.f64 b a))) #s(literal -3 binary64)) | |
| 30.4% | (/.f64 (-.f64 #s(literal 3 binary64) (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (/.f64 b a))) (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) #s(literal 3 binary64))) | |
| 30.3% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) | |
| 30.2% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 b (/.f64 b c))) c)))) (*.f64 #s(literal 3 binary64) a)) | |
| 30.3% | (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))))))) (*.f64 #s(literal 3 binary64) a)) | |
| 30.3% | (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(literal 3 binary64)) | |
| 31.1% | (/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))))) | |
| 30.3% | (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b) #s(literal 1/3 binary64)) a) | |
| 94.7% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (*.f64 (*.f64 a a) a) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (*.f64 (*.f64 b b) b))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) (*.f64 #s(literal 3 binary64) a)) | |
| 81.9% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a)) | |
| 30.3% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) | |
| 30.3% | (/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) a)) | |
| 30.5% | (-.f64 (/.f64 (/.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (*.f64 #s(literal 9 binary64) (*.f64 a a))) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))) (/.f64 (/.f64 (*.f64 b b) (*.f64 #s(literal 9 binary64) (*.f64 a a))) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)))) | |
| ✓ | 29.7% | (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64)))) |
| 29.2% | (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (*.f64 (/.f64 b a) #s(literal 1/3 binary64))) | |
| 31.1% | (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (*.f64 b b) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))))) | |
| ▶ | 31.1% | (*.f64 (/.f64 (-.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (*.f64 b b)) (*.f64 #s(literal 9 binary64) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)))) |
| 30.8% | (*.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 (*.f64 a a) a) #s(literal 27 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 b (*.f64 #s(literal 3 binary64) a)) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)) (/.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (*.f64 #s(literal 9 binary64) (*.f64 a a)))))) | |
| 30.3% | (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64)) | |
| 30.2% | (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b) #s(literal 1/3 binary64))) | |
| 30.3% | (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)) | |
| ▶ | 30.3% | (*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a))) |
| ▶ | 95.3% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
| 92.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 b c)) #s(literal -1 binary64))) #s(literal -1/2 binary64)))) | |
| 91.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 a #s(literal -3/8 binary64)) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) | |
| 93.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (* (* (* c c) (/ c (pow b 5))) -9/16)) a) (/ (* (* c c) -3/8) (* (* b b) b))) (/.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) c) c (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 a c) c) c) #s(literal -9/16 binary64)) (*.f64 b b))) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) | |
| ✓ | 91.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) b)) |
| 90.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) (/.f64 (fma.f64 (*.f64 (*.f64 b c) b) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) c) #s(literal -3/8 binary64))) (*.f64 b b))) b)) | |
| 90.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) (*.f64 (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) c)) (*.f64 c c))) b)) | |
| 91.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) (*.f64 (fma.f64 (*.f64 a #s(literal -3/8 binary64)) (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64)) c)) b)) | |
| 82.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) | |
| 95.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) c) (/.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 a b)) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)) | |
| 90.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c)) | |
| 90.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (*.f64 #s(literal -1/2 binary64) c)) (/.f64 #s(literal 1 binary64) b))) | |
| 93.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 #s(approx (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -9/16 binary64) a) a) (/.f64 c (*.f64 b b)) (*.f64 a #s(literal -3/8 binary64))) (*.f64 (*.f64 b b) b))) c (/.f64 #s(literal -1/2 binary64) b)) c)) | |
| ✓ | 82.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
| 93.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) (*.f64 (*.f64 a c) #s(literal -3/8 binary64))) b) b (*.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -9/16 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c)) | |
| 93.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -9/16 binary64) a) a) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (*.f64 a #s(literal -3/8 binary64)) (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64))) b)) c)) | |
| 90.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 a #s(literal -3/8 binary64)) (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64)) b)) c)) | |
| ▶ | 82.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) |
| 90.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (/.f64 (fma.f64 (*.f64 (*.f64 b c) b) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) c) #s(literal -3/8 binary64))) (*.f64 (*.f64 b b) b)))) | |
| 90.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (*.f64 (fma.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a))) | |
| 90.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (*.f64 (fma.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 b c))) (*.f64 c c)))) |
Compiled 3 969 to 2 061 computations (48.1% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (-.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (*.f64 b b)) (*.f64 #s(literal 9 binary64) (*.f64 a a))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))) | |
| cost-diff | 896 | (-.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (*.f64 b b)) | |
| cost-diff | 1024 | (*.f64 (/.f64 (-.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (*.f64 b b)) (*.f64 #s(literal 9 binary64) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)))) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) | |
| cost-diff | 0 | (/.f64 #s(literal 1/3 binary64) a) | |
| cost-diff | 0 | (neg.f64 b) | |
| cost-diff | 1024 | (fma.f64 (neg.f64 b) (/.f64 #s(literal 1/3 binary64) a) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))))) | |
| cost-diff | 0 | (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b) | |
| cost-diff | 0 | (*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a))) | |
| cost-diff | 128 | (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)) | |
| cost-diff | 320 | (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a)) | |
| cost-diff | 0 | (/.f64 #s(literal -1/2 binary64) b) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) | |
| cost-diff | 320 | (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b))))) | |
| cost-diff | 320 | (fma.f64 (fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) | |
| cost-diff | 960 | (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) |
| 4 960× | lower-*.f32 |
| 4 914× | lower-*.f64 |
| 4 856× | lower-fma.f32 |
| 4 846× | lower-fma.f64 |
| 3 670× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 80 | 828 |
| 0 | 129 | 821 |
| 1 | 270 | 716 |
| 2 | 759 | 631 |
| 3 | 3247 | 593 |
| 4 | 6067 | 591 |
| 0 | 8985 | 581 |
| 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 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) |
(fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) |
(/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) |
c |
(*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b)) |
(*.f64 (*.f64 b b) b) |
(*.f64 b b) |
b |
(*.f64 (*.f64 c c) #s(literal -9/16 binary64)) |
(*.f64 c c) |
#s(literal -9/16 binary64) |
(*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b))))) |
(*.f64 a #s(literal -1/6 binary64)) |
a |
#s(literal -1/6 binary64) |
(*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))) |
(*.f64 (*.f64 (*.f64 c c) c) c) |
(*.f64 (*.f64 c c) c) |
(/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b))) |
#s(literal 405/64 binary64) |
(*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)) |
(*.f64 (*.f64 (*.f64 b b) b) b) |
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b)) |
(*.f64 (*.f64 c c) #s(literal -3/8 binary64)) |
#s(literal -3/8 binary64) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(/.f64 c b) |
#s(literal -1/2 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) |
(*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c) |
#s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) |
(/.f64 #s(literal -1/2 binary64) b) |
#s(literal -1/2 binary64) |
b |
c |
(*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a))) |
(neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) |
(fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) |
(*.f64 a c) |
a |
c |
#s(literal -3 binary64) |
(*.f64 b b) |
b |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a)) |
#s(literal 1 binary64) |
(*.f64 #s(literal -3 binary64) a) |
(fma.f64 (neg.f64 b) (/.f64 #s(literal 1/3 binary64) a) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))))) |
(neg.f64 b) |
b |
(/.f64 #s(literal 1/3 binary64) a) |
#s(literal 1/3 binary64) |
a |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) |
(sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) |
(fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) |
(*.f64 a c) |
c |
#s(literal -3 binary64) |
(*.f64 b b) |
(*.f64 (/.f64 (-.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (*.f64 b b)) (*.f64 #s(literal 9 binary64) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)))) |
(/.f64 (-.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (*.f64 b b)) (*.f64 #s(literal 9 binary64) (*.f64 a a))) |
(-.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (*.f64 b b)) |
(fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) |
(*.f64 a c) |
a |
c |
#s(literal -3 binary64) |
(*.f64 b b) |
b |
(*.f64 #s(literal 9 binary64) (*.f64 a a)) |
#s(literal 9 binary64) |
(*.f64 a a) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))) |
#s(literal 1 binary64) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)) |
(/.f64 #s(literal 1/3 binary64) a) |
#s(literal 1/3 binary64) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 a a) (*.f64 (*.f64 (*.f64 c c) c) (fma.f64 c (*.f64 (/.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b))) a) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b)))) (*.f64 (/.f64 c b) (fma.f64 (*.f64 #s(literal -3/8 binary64) (/.f64 c (*.f64 b b))) a #s(literal -1/2 binary64))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(fma.f64 (*.f64 a a) (*.f64 (*.f64 (*.f64 c c) c) (fma.f64 c (*.f64 (/.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b))) a) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b)))) (*.f64 (/.f64 c b) (fma.f64 (*.f64 #s(literal -3/8 binary64) (/.f64 c (*.f64 b b))) a #s(literal -1/2 binary64)))) |
(fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) |
(fma.f64 (*.f64 (*.f64 (*.f64 c c) c) (fma.f64 c (*.f64 (/.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b))) a) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b)))) a (*.f64 (*.f64 c (/.f64 c (*.f64 (*.f64 b b) b))) #s(literal -3/8 binary64))) |
(fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) |
(*.f64 (*.f64 (*.f64 c c) c) (fma.f64 c (*.f64 (/.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b))) a) (/.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b)))) |
(/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) |
(/.f64 c (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b)) |
c |
(*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b)) |
(*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b) |
(*.f64 (*.f64 b b) b) |
(*.f64 b b) |
b |
(*.f64 (*.f64 c c) #s(literal -9/16 binary64)) |
(*.f64 #s(literal -9/16 binary64) (*.f64 c c)) |
(*.f64 c c) |
#s(literal -9/16 binary64) |
(*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b))))) |
(/.f64 (*.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 (*.f64 c c) c) c)) a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b))) |
(*.f64 a #s(literal -1/6 binary64)) |
(*.f64 #s(literal -1/6 binary64) a) |
a |
#s(literal -1/6 binary64) |
(*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))) |
(*.f64 (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b))) (*.f64 (*.f64 (*.f64 c c) c) c)) |
(*.f64 (*.f64 (*.f64 c c) c) c) |
(*.f64 (*.f64 c c) c) |
(/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b))) |
(/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b))) |
#s(literal 405/64 binary64) |
(*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)) |
(*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b)) |
(*.f64 (*.f64 (*.f64 b b) b) b) |
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b)) |
(*.f64 (*.f64 c (/.f64 c (*.f64 (*.f64 b b) b))) #s(literal -3/8 binary64)) |
(*.f64 (*.f64 c c) #s(literal -3/8 binary64)) |
(*.f64 #s(literal -3/8 binary64) (*.f64 c c)) |
#s(literal -3/8 binary64) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
(/.f64 c b) |
#s(literal -1/2 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) |
(*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c) |
#s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) |
(/.f64 #s(literal -1/2 binary64) b) |
#s(literal -1/2 binary64) |
b |
c |
(*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))) b)) |
(neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)) |
(-.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b)))) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b) |
(-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) |
(sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))) |
(fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) |
(fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b)) |
(*.f64 a c) |
(*.f64 c a) |
a |
c |
#s(literal -3 binary64) |
(*.f64 b b) |
b |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a)) |
(/.f64 #s(literal -1/3 binary64) a) |
#s(literal 1 binary64) |
(*.f64 #s(literal -3 binary64) a) |
(fma.f64 (neg.f64 b) (/.f64 #s(literal 1/3 binary64) a) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))) b)) |
(neg.f64 b) |
b |
(/.f64 #s(literal 1/3 binary64) a) |
#s(literal 1/3 binary64) |
a |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b)))) |
(sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) |
(sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))) |
(fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) |
(fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b)) |
(*.f64 a c) |
(*.f64 c a) |
c |
#s(literal -3 binary64) |
(*.f64 b b) |
(*.f64 (/.f64 (-.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (*.f64 b b)) (*.f64 #s(literal 9 binary64) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)))) |
(*.f64 (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 9 binary64) a) (+.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))) b))) (*.f64 (*.f64 #s(literal -3 binary64) a) c)) |
(/.f64 (-.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (*.f64 b b)) (*.f64 #s(literal 9 binary64) (*.f64 a a))) |
(/.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) (*.f64 (*.f64 a a) #s(literal 9 binary64))) |
(-.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (*.f64 b b)) |
(*.f64 (*.f64 #s(literal -3 binary64) a) c) |
(fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) |
(fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b)) |
(*.f64 a c) |
(*.f64 c a) |
a |
c |
#s(literal -3 binary64) |
(*.f64 b b) |
b |
(*.f64 #s(literal 9 binary64) (*.f64 a a)) |
(*.f64 (*.f64 a a) #s(literal 9 binary64)) |
#s(literal 9 binary64) |
(*.f64 a a) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))) |
(/.f64 (*.f64 a #s(literal 3 binary64)) (+.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))) b)) |
#s(literal 1 binary64) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)) |
(*.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))) b) (/.f64 #s(literal 1/3 binary64) a)) |
(/.f64 #s(literal 1/3 binary64) a) |
#s(literal 1/3 binary64) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b) |
(+.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) |
(sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.32421875 | (/.f64 (-.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (*.f64 b b)) (*.f64 #s(literal 9 binary64) (*.f64 a a))) | |
| accuracy | 0.3287887695368841 | (*.f64 (/.f64 (-.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (*.f64 b b)) (*.f64 #s(literal 9 binary64) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)))) | |
| accuracy | 0.375 | (/.f64 #s(literal 1/3 binary64) a) | |
| accuracy | 44.119733907334094 | (-.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (*.f64 b b)) | |
| accuracy | 0.13671875 | (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) | |
| accuracy | 0.28353500976844204 | (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) | |
| accuracy | 0.375 | (/.f64 #s(literal 1/3 binary64) a) | |
| accuracy | 43.47858690102386 | (fma.f64 (neg.f64 b) (/.f64 #s(literal 1/3 binary64) a) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))))) | |
| accuracy | 0.13671875 | (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) | |
| accuracy | 0.28125 | (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a)) | |
| accuracy | 0.38509750976844204 | (*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a))) | |
| accuracy | 44.54867370714094 | (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b) | |
| accuracy | 0 | (/.f64 #s(literal -1/2 binary64) b) | |
| accuracy | 0.28125 | (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c) | |
| accuracy | 3.9036991513200228 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) | |
| accuracy | 11.358063123812544 | #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) | |
| accuracy | 0.3522262695368841 | (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b)) | |
| accuracy | 0.35775375976844204 | (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b))))) | |
| accuracy | 0.390625 | (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)) | |
| accuracy | 2.9041678785258607 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
| 225.0ms | 186× | 1 | valid |
| 50.0ms | 70× | 0 | valid |
Compiled 748 to 80 computations (89.3% saved)
ival-mult: 102.0ms (44.9% of total)ival-div: 51.0ms (22.4% of total)const: 19.0ms (8.4% of total)adjust: 17.0ms (7.5% of total)ival-add: 17.0ms (7.5% of total)ival-sub: 7.0ms (3.1% of total)ival-sqrt: 6.0ms (2.6% of total)ival-neg: 4.0ms (1.8% of total)ival-pow: 3.0ms (1.3% of total)exact: 1.0ms (0.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) (patch (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) (patch (fma.f64 (fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b))))) (patch (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b))))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c) (patch (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) (patch #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1/2 binary64) b) (patch (/.f64 #s(literal -1/2 binary64) b) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a)) (patch (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a)) #<representation binary64>) () ()) |
#s(alt (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)) (patch (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a))) (patch (*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a))) #<representation binary64>) () ()) |
#s(alt (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b) #<representation binary64>) () ()) |
#s(alt (fma.f64 (neg.f64 b) (/.f64 #s(literal 1/3 binary64) a) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))))) (patch (fma.f64 (neg.f64 b) (/.f64 #s(literal 1/3 binary64) a) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))))) #<representation binary64>) () ()) |
#s(alt (neg.f64 b) (patch (neg.f64 b) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1/3 binary64) a) (patch (/.f64 #s(literal 1/3 binary64) a) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (patch (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (-.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (*.f64 b b)) (*.f64 #s(literal 9 binary64) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)))) (patch (*.f64 (/.f64 (-.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (*.f64 b b)) (*.f64 #s(literal 9 binary64) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)))) #<representation binary64>) () ()) |
#s(alt (-.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (*.f64 b b)) (patch (-.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (*.f64 b b)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (*.f64 b b)) (*.f64 #s(literal 9 binary64) (*.f64 a a))) (patch (/.f64 (-.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (*.f64 b b)) (*.f64 #s(literal 9 binary64) (*.f64 a a))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)) (patch (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b)) (patch (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (patch (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -9/16 (/ (pow c 3) (pow b 5))) (taylor 0 c) (#s(alt (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) (patch (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5))))) (taylor 0 c) (#s(alt (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) (patch (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5))))) (taylor 0 c) (#s(alt (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) (patch (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5))))) (taylor 0 c) (#s(alt (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) (patch (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ c b)) (taylor 0 c) (#s(alt (fma.f64 (fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) (patch (fma.f64 (fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (fma.f64 (fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) (patch (fma.f64 (fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (fma.f64 (fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) (patch (fma.f64 (fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 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)))) (taylor 0 c) (#s(alt (fma.f64 (fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) (patch (fma.f64 (fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (taylor 0 c) (#s(alt (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b))))) (patch (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b))))) #<representation binary64>) () ())) ()) |
#s(alt (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (taylor 0 c) (#s(alt (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b))))) (patch (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b))))) #<representation binary64>) () ())) ()) |
#s(alt (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (taylor 0 c) (#s(alt (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b))))) (patch (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b))))) #<representation binary64>) () ())) ()) |
#s(alt (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (taylor 0 c) (#s(alt (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b))))) (patch (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ c b)) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ c b)) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) #<representation binary64>) () ())) ()) |
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 19.0ms | b | @ | inf | ((+ (* (/ c (* (* (* b b) b) (* b b))) (* (* c c) -9/16)) (* (* a -1/6) (* (* (* (* c c) c) c) (/ 405/64 (* (* (* b b) b) (* (* (* b b) b) b)))))) (+ (* (+ (* (+ (* (/ c (* (* (* b b) b) (* b b))) (* (* c c) -9/16)) (* (* a -1/6) (* (* (* (* c c) c) c) (/ 405/64 (* (* (* b b) b) (* (* (* b b) b) b)))))) a) (/ (* (* c c) -3/8) (* (* b b) b))) a) (* (/ c b) -1/2)) (* (* a -1/6) (* (* (* (* c c) c) c) (/ 405/64 (* (* (* b b) b) (* (* (* b b) b) b))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) c) (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/ -1/2 b) (/ 1 (* -3 a)) (neg (- (sqrt (+ (* (* a c) -3) (* b b))) b)) (* (neg (- (sqrt (+ (* (* a c) -3) (* b b))) b)) (/ 1 (* -3 a))) (- (sqrt (+ (* (* a c) -3) (* b b))) b) (+ (* (neg b) (/ 1/3 a)) (* (/ 1/3 a) (sqrt (+ (* (* a c) -3) (* b b))))) (neg b) (/ 1/3 a) (* (/ 1/3 a) (sqrt (+ (* (* a c) -3) (* b b)))) (* (/ (- (+ (* (* a c) -3) (* b b)) (* b b)) (* 9 (* a a))) (/ 1 (* (/ 1/3 a) (+ (sqrt (+ (* (* a c) -3) (* b b))) b)))) (- (+ (* (* a c) -3) (* b b)) (* b b)) (/ 1 (* (/ 1/3 a) (+ (sqrt (+ (* (* a c) -3) (* b b))) b))) (/ (- (+ (* (* a c) -3) (* b b)) (* b b)) (* 9 (* a a))) (* (* (* b b) b) (* (* (* b b) b) b)) (* (* (* b b) b) (* b b)) (+ (* (* a c) -3) (* b b))) |
| 13.0ms | c | @ | 0 | ((+ (* (/ c (* (* (* b b) b) (* b b))) (* (* c c) -9/16)) (* (* a -1/6) (* (* (* (* c c) c) c) (/ 405/64 (* (* (* b b) b) (* (* (* b b) b) b)))))) (+ (* (+ (* (+ (* (/ c (* (* (* b b) b) (* b b))) (* (* c c) -9/16)) (* (* a -1/6) (* (* (* (* c c) c) c) (/ 405/64 (* (* (* b b) b) (* (* (* b b) b) b)))))) a) (/ (* (* c c) -3/8) (* (* b b) b))) a) (* (/ c b) -1/2)) (* (* a -1/6) (* (* (* (* c c) c) c) (/ 405/64 (* (* (* b b) b) (* (* (* b b) b) b))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) c) (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/ -1/2 b) (/ 1 (* -3 a)) (neg (- (sqrt (+ (* (* a c) -3) (* b b))) b)) (* (neg (- (sqrt (+ (* (* a c) -3) (* b b))) b)) (/ 1 (* -3 a))) (- (sqrt (+ (* (* a c) -3) (* b b))) b) (+ (* (neg b) (/ 1/3 a)) (* (/ 1/3 a) (sqrt (+ (* (* a c) -3) (* b b))))) (neg b) (/ 1/3 a) (* (/ 1/3 a) (sqrt (+ (* (* a c) -3) (* b b)))) (* (/ (- (+ (* (* a c) -3) (* b b)) (* b b)) (* 9 (* a a))) (/ 1 (* (/ 1/3 a) (+ (sqrt (+ (* (* a c) -3) (* b b))) b)))) (- (+ (* (* a c) -3) (* b b)) (* b b)) (/ 1 (* (/ 1/3 a) (+ (sqrt (+ (* (* a c) -3) (* b b))) b))) (/ (- (+ (* (* a c) -3) (* b b)) (* b b)) (* 9 (* a a))) (* (* (* b b) b) (* (* (* b b) b) b)) (* (* (* b b) b) (* b b)) (+ (* (* a c) -3) (* b b))) |
| 11.0ms | a | @ | -inf | ((+ (* (/ c (* (* (* b b) b) (* b b))) (* (* c c) -9/16)) (* (* a -1/6) (* (* (* (* c c) c) c) (/ 405/64 (* (* (* b b) b) (* (* (* b b) b) b)))))) (+ (* (+ (* (+ (* (/ c (* (* (* b b) b) (* b b))) (* (* c c) -9/16)) (* (* a -1/6) (* (* (* (* c c) c) c) (/ 405/64 (* (* (* b b) b) (* (* (* b b) b) b)))))) a) (/ (* (* c c) -3/8) (* (* b b) b))) a) (* (/ c b) -1/2)) (* (* a -1/6) (* (* (* (* c c) c) c) (/ 405/64 (* (* (* b b) b) (* (* (* b b) b) b))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) c) (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/ -1/2 b) (/ 1 (* -3 a)) (neg (- (sqrt (+ (* (* a c) -3) (* b b))) b)) (* (neg (- (sqrt (+ (* (* a c) -3) (* b b))) b)) (/ 1 (* -3 a))) (- (sqrt (+ (* (* a c) -3) (* b b))) b) (+ (* (neg b) (/ 1/3 a)) (* (/ 1/3 a) (sqrt (+ (* (* a c) -3) (* b b))))) (neg b) (/ 1/3 a) (* (/ 1/3 a) (sqrt (+ (* (* a c) -3) (* b b)))) (* (/ (- (+ (* (* a c) -3) (* b b)) (* b b)) (* 9 (* a a))) (/ 1 (* (/ 1/3 a) (+ (sqrt (+ (* (* a c) -3) (* b b))) b)))) (- (+ (* (* a c) -3) (* b b)) (* b b)) (/ 1 (* (/ 1/3 a) (+ (sqrt (+ (* (* a c) -3) (* b b))) b))) (/ (- (+ (* (* a c) -3) (* b b)) (* b b)) (* 9 (* a a))) (* (* (* b b) b) (* (* (* b b) b) b)) (* (* (* b b) b) (* b b)) (+ (* (* a c) -3) (* b b))) |
| 9.0ms | a | @ | inf | ((+ (* (/ c (* (* (* b b) b) (* b b))) (* (* c c) -9/16)) (* (* a -1/6) (* (* (* (* c c) c) c) (/ 405/64 (* (* (* b b) b) (* (* (* b b) b) b)))))) (+ (* (+ (* (+ (* (/ c (* (* (* b b) b) (* b b))) (* (* c c) -9/16)) (* (* a -1/6) (* (* (* (* c c) c) c) (/ 405/64 (* (* (* b b) b) (* (* (* b b) b) b)))))) a) (/ (* (* c c) -3/8) (* (* b b) b))) a) (* (/ c b) -1/2)) (* (* a -1/6) (* (* (* (* c c) c) c) (/ 405/64 (* (* (* b b) b) (* (* (* b b) b) b))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) c) (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/ -1/2 b) (/ 1 (* -3 a)) (neg (- (sqrt (+ (* (* a c) -3) (* b b))) b)) (* (neg (- (sqrt (+ (* (* a c) -3) (* b b))) b)) (/ 1 (* -3 a))) (- (sqrt (+ (* (* a c) -3) (* b b))) b) (+ (* (neg b) (/ 1/3 a)) (* (/ 1/3 a) (sqrt (+ (* (* a c) -3) (* b b))))) (neg b) (/ 1/3 a) (* (/ 1/3 a) (sqrt (+ (* (* a c) -3) (* b b)))) (* (/ (- (+ (* (* a c) -3) (* b b)) (* b b)) (* 9 (* a a))) (/ 1 (* (/ 1/3 a) (+ (sqrt (+ (* (* a c) -3) (* b b))) b)))) (- (+ (* (* a c) -3) (* b b)) (* b b)) (/ 1 (* (/ 1/3 a) (+ (sqrt (+ (* (* a c) -3) (* b b))) b))) (/ (- (+ (* (* a c) -3) (* b b)) (* b b)) (* 9 (* a a))) (* (* (* b b) b) (* (* (* b b) b) b)) (* (* (* b b) b) (* b b)) (+ (* (* a c) -3) (* b b))) |
| 9.0ms | c | @ | -inf | ((+ (* (/ c (* (* (* b b) b) (* b b))) (* (* c c) -9/16)) (* (* a -1/6) (* (* (* (* c c) c) c) (/ 405/64 (* (* (* b b) b) (* (* (* b b) b) b)))))) (+ (* (+ (* (+ (* (/ c (* (* (* b b) b) (* b b))) (* (* c c) -9/16)) (* (* a -1/6) (* (* (* (* c c) c) c) (/ 405/64 (* (* (* b b) b) (* (* (* b b) b) b)))))) a) (/ (* (* c c) -3/8) (* (* b b) b))) a) (* (/ c b) -1/2)) (* (* a -1/6) (* (* (* (* c c) c) c) (/ 405/64 (* (* (* b b) b) (* (* (* b b) b) b))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) c) (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/ -1/2 b) (/ 1 (* -3 a)) (neg (- (sqrt (+ (* (* a c) -3) (* b b))) b)) (* (neg (- (sqrt (+ (* (* a c) -3) (* b b))) b)) (/ 1 (* -3 a))) (- (sqrt (+ (* (* a c) -3) (* b b))) b) (+ (* (neg b) (/ 1/3 a)) (* (/ 1/3 a) (sqrt (+ (* (* a c) -3) (* b b))))) (neg b) (/ 1/3 a) (* (/ 1/3 a) (sqrt (+ (* (* a c) -3) (* b b)))) (* (/ (- (+ (* (* a c) -3) (* b b)) (* b b)) (* 9 (* a a))) (/ 1 (* (/ 1/3 a) (+ (sqrt (+ (* (* a c) -3) (* b b))) b)))) (- (+ (* (* a c) -3) (* b b)) (* b b)) (/ 1 (* (/ 1/3 a) (+ (sqrt (+ (* (* a c) -3) (* b b))) b))) (/ (- (+ (* (* a c) -3) (* b b)) (* b b)) (* 9 (* a a))) (* (* (* b b) b) (* (* (* b b) b) b)) (* (* (* b b) b) (* b b)) (+ (* (* a c) -3) (* b b))) |
| 1× | egg-herbie |
| 7 550× | lower-*.f64 |
| 7 550× | lower-*.f32 |
| 6 222× | lower-fma.f64 |
| 6 222× | lower-fma.f32 |
| 3 852× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1446 | 14374 |
| 1 | 4719 | 14066 |
| 0 | 8271 | 13492 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5))))) |
(* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5))))) |
(* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5))))) |
(* -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 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -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)))) |
(* -1/2 (/ 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)))) |
(* -1/2 (/ 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 (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(/ -1/2 b) |
(- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))) |
(- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))) |
(- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))) |
(* 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)))) |
(* -1/2 (/ 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)))) |
(* -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)))))))) |
(+ (* -1/3 (/ b a)) (* 1/3 (/ b a))) |
(+ (* -1/2 (/ c b)) (+ (* -1/3 (/ b a)) (* 1/3 (/ b a)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/3 (/ b a)) (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))))) |
(+ (* -1/3 (/ b a)) (+ (* 1/3 (/ b a)) (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))))) |
(* 1/3 (/ b a)) |
(+ (* -1/2 (/ c b)) (* 1/3 (/ b a))) |
(+ (* 1/3 (/ b a)) (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))) |
(+ (* 1/3 (/ b a)) (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 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 (+ (* -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)))) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* 3/2 (/ a b)) |
(+ (* 9/8 (/ (* (pow a 2) c) (pow b 3))) (* 3/2 (/ a b))) |
(+ (* 3/2 (/ a b)) (* c (+ (* 9/8 (/ (pow a 2) (pow b 3))) (* 27/16 (/ (* (pow a 3) c) (pow b 5)))))) |
(+ (* 3/2 (/ a b)) (* c (+ (* 9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -3 (* c (+ (* -27/32 (/ (pow a 4) (pow b 7))) (* -27/128 (/ (pow a 4) (pow b 7)))))) (* 27/16 (/ (pow a 3) (pow b 5)))))))) |
(* -1/3 (/ c a)) |
(* -1/3 (/ c a)) |
(* -1/3 (/ c a)) |
(* -1/3 (/ c a)) |
(pow b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c))))) |
(* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c))))) |
(* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c))))) |
(* -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 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* 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 -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))))))) |
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5))) |
(* (pow c 3) (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c))))) |
(* (pow c 3) (- (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))) (/ 1/2 (* b (pow c 2))))) |
(* (pow c 3) (- (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))) (/ 1/2 (* b (pow c 2))))) |
(* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 5))) |
(* (pow c 2) (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c))))) |
(* (pow c 2) (- (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))) (/ 1/2 (* b (pow c 2))))) |
(* (pow c 2) (- (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))) (/ 1/2 (* b (pow c 2))))) |
(* -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))))) |
(* 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))))))) |
(* (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))) |
(* 1/3 (* (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 -3))) |
(* 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 (+ (* -1/24 (* (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)))))) |
(* c (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/48 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (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)))) (* -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)))))) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* 3 (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) |
(/ (+ (* -3 (/ b (pow (sqrt -3) 2))) (* 3 (* (sqrt (* a c)) (/ 1 (sqrt -3))))) c) |
(/ (+ (* -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)))))) c) |
(/ (+ (* -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)) (/ 1 (sqrt -3))))))) c) |
(* -1/3 (/ c a)) |
(* -1/3 (/ c a)) |
(* -1/3 (/ c a)) |
(* -1/3 (/ c a)) |
(* -3 (* a c)) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c))))) |
(* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c))))) |
(* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c))))) |
(* -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)))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -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 (/ 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))))))) |
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5))) |
(* -1 (* (pow c 3) (+ (* 3/8 (/ a (* (pow b 3) c))) (* 9/16 (/ (pow a 2) (pow b 5)))))) |
(* -1 (* (pow c 3) (+ (* -1 (/ (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* 9/16 (/ (pow a 2) (pow b 5)))))) |
(* -1 (* (pow c 3) (+ (* -1 (/ (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* 9/16 (/ (pow a 2) (pow b 5)))))) |
(* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 5))) |
(* (pow c 2) (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c))))) |
(* (pow c 2) (+ (* -1 (/ (+ (* 3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* -9/16 (/ (pow a 2) (pow b 5))))) |
(* (pow c 2) (+ (* -1 (/ (+ (* 3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* -9/16 (/ (pow a 2) (pow b 5))))) |
(* (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 -1) (sqrt 3)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* (sqrt (* 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 -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 (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))) |
(* -1 (* c (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/48 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 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)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) |
(* -1 (/ (+ (* -3 (/ b (pow (sqrt 3) 2))) (* 3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3))))) c)) |
(* -1 (/ (+ (* -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))))) c)) |
(* -1 (/ (+ (* -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))))) c)) |
(* -1/3 (/ c a)) |
(* -1/3 (/ c a)) |
(* -1/3 (/ c a)) |
(* -1/3 (/ c 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)))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(/ (+ (* -135/128 (* a (pow c 4))) (* -9/16 (* (pow b 2) (pow c 3)))) (pow b 7)) |
(/ (+ (* -135/128 (* a (pow c 4))) (* -9/16 (* (pow b 2) (pow c 3)))) (pow b 7)) |
(/ (+ (* -135/128 (* a (pow c 4))) (* -9/16 (* (pow b 2) (pow c 3)))) (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)) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (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))))) |
(* 1/3 (* (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))))) |
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5))) |
(/ (+ (* -9/16 (* (pow a 2) (pow c 3))) (* -3/8 (* a (* (pow b 2) (pow c 2))))) (pow b 5)) |
(/ (+ (* -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 5)) |
(/ (+ (* -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 5)) |
(* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 5))) |
(/ (+ (* -9/16 (* (pow a 2) (pow c 2))) (* -3/8 (* a (* (pow b 2) c)))) (pow b 5)) |
(/ (+ (* -9/16 (* (pow a 2) (pow c 2))) (* (pow b 2) (+ (* -1/2 (pow b 2)) (* -3/8 (* a c))))) (pow b 5)) |
(/ (+ (* -9/16 (* (pow a 2) (pow c 2))) (* (pow b 2) (+ (* -1/2 (pow b 2)) (* -3/8 (* a c))))) (pow b 5)) |
(/ -1/2 b) |
(/ -1/2 b) |
(/ -1/2 b) |
(/ -1/2 b) |
(* -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))) |
(* 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))))) |
(* (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))) |
(* 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 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -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 -3))) (* (pow b 2) (+ (* -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 (* (sqrt (/ c a)) (sqrt -3))) (* (pow b 2) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/48 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5))))))))) |
(* -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)))))) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* 3 (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) |
(+ (* -3 (/ b (* c (pow (sqrt -3) 2)))) (* 3 (* (sqrt (/ a c)) (/ 1 (sqrt -3))))) |
(+ (* 3 (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (* b (- (* -3 (* b (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))))) (* 3 (/ 1 (* c (pow (sqrt -3) 2))))))) |
(+ (* 3 (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (* b (- (* b (+ (* -3 (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))))) (* 3 (* b (- (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -3) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))) (sqrt -3))))))))) (* 3 (/ 1 (* c (pow (sqrt -3) 2))))))) |
(* -1/3 (/ c a)) |
(* -1/3 (/ c a)) |
(* -1/3 (/ c a)) |
(* -1/3 (/ c a)) |
(pow b 7) |
(pow b 7) |
(pow b 7) |
(pow b 7) |
(pow b 5) |
(pow b 5) |
(pow b 5) |
(pow b 5) |
(* -3 (* a c)) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(/ (+ (* -135/128 (/ (* a (pow c 4)) (pow b 2))) (* -9/16 (pow c 3))) (pow b 5)) |
(/ (+ (* -135/128 (/ (* a (pow c 4)) (pow b 2))) (* -9/16 (pow c 3))) (pow b 5)) |
(/ (+ (* -135/128 (/ (* a (pow c 4)) (pow b 2))) (* -9/16 (pow c 3))) (pow b 5)) |
(* -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) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (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) |
(/ (+ (* -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) |
(* -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) |
(* -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))))) b) |
(/ -1/2 b) |
(/ (- (* -3/8 (/ (* a c) (pow b 2))) 1/2) b) |
(/ (- (+ (* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -3/8 (/ (* a c) (pow b 2)))) 1/2) b) |
(/ (- (+ (* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -3/8 (/ (* a c) (pow b 2)))) 1/2) b) |
(/ -1/2 b) |
(/ -1/2 b) |
(/ -1/2 b) |
(/ -1/2 b) |
(* 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) |
(* -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) |
(* -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) |
(* -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) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* 1/3 (/ b a)) |
(* b (+ (* -1/2 (/ c (pow b 2))) (* 1/3 (/ 1 a)))) |
(* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 1/3 (/ 1 a))))) |
(* 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))) (* 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) |
(/ (+ (* -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) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* 3/2 (/ a b)) |
(/ (+ (* 9/8 (/ (* (pow a 2) c) (pow b 2))) (* 3/2 a)) b) |
(/ (+ (* 9/8 (/ (* (pow a 2) c) (pow b 2))) (+ (* 3/2 a) (* 27/16 (/ (* (pow a 3) (pow c 2)) (pow b 4))))) b) |
(/ (+ (* -3 (/ (+ (* -27/32 (* (pow a 4) (pow c 3))) (* -27/128 (* (pow a 4) (pow c 3)))) (pow b 6))) (+ (* 9/8 (/ (* (pow a 2) c) (pow b 2))) (+ (* 3/2 a) (* 27/16 (/ (* (pow a 3) (pow c 2)) (pow b 4)))))) b) |
(* -1/3 (/ c a)) |
(* -1/3 (/ c a)) |
(* -1/3 (/ c a)) |
(* -1/3 (/ c a)) |
(pow b 7) |
(pow b 7) |
(pow b 7) |
(pow b 7) |
(pow b 5) |
(pow b 5) |
(pow b 5) |
(pow b 5) |
(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 c 3) (pow b 5))) |
(* -1 (/ (+ (* 9/16 (pow c 3)) (* 135/128 (/ (* a (pow c 4)) (pow b 2)))) (pow b 5))) |
(* -1 (/ (+ (* 9/16 (pow c 3)) (* 135/128 (/ (* a (pow c 4)) (pow b 2)))) (pow b 5))) |
(* -1 (/ (+ (* 9/16 (pow c 3)) (* 135/128 (/ (* a (pow c 4)) (pow b 2)))) (pow b 5))) |
(* -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)) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -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))))))) |
(* -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 (/ (+ (* 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))))) b)) |
(/ -1/2 b) |
(* -1 (/ (+ 1/2 (* 3/8 (/ (* a c) (pow b 2)))) b)) |
(* -1 (/ (+ 1/2 (+ (* 3/8 (/ (* a c) (pow b 2))) (* 9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4))))) b)) |
(* -1 (/ (+ 1/2 (+ (* 3/8 (/ (* a c) (pow b 2))) (* 9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4))))) b)) |
(/ -1/2 b) |
(/ -1/2 b) |
(/ -1/2 b) |
(/ -1/2 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)))))))) |
(* -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))))))) |
(* -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)))))))) |
(* -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 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 1/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 1/3 (/ 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))) (* 1/3 (/ 1 a))))))) |
(* -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)))))))))) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* 2 (/ b c)) |
(* -1 (* b (- (* 3/2 (/ a (pow b 2))) (* 2 (/ 1 c))))) |
(* -1 (* b (- (+ (* -3 (/ (+ (* -3/4 (* (pow a 2) c)) (* 3/8 (* (pow a 2) c))) (pow b 4))) (* 3/2 (/ a (pow b 2)))) (* 2 (/ 1 c))))) |
(* -1 (* b (- (+ (* -3 (/ (+ (* -3/4 (* a (* c (+ (* -3/4 (* (pow a 2) c)) (* 3/8 (* (pow a 2) c)))))) (+ (* -2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow c 2)))) (* 9/16 (* (pow a 3) (pow c 2))))) (pow b 6))) (+ (* -3 (/ (+ (* -3/4 (* (pow a 2) c)) (* 3/8 (* (pow a 2) c))) (pow b 4))) (* 3/2 (/ a (pow b 2))))) (* 2 (/ 1 c))))) |
(* -1/3 (/ c a)) |
(* -1/3 (/ c a)) |
(* -1/3 (/ c a)) |
(* -1/3 (/ c a)) |
(pow b 7) |
(pow b 7) |
(pow b 7) |
(pow b 7) |
(pow b 5) |
(pow b 5) |
(pow b 5) |
(pow b 5) |
(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 c 3) (pow b 5))) |
(+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))) |
(+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))) |
(+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))) |
(* -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 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -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))))))) |
(* -1/2 (/ 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))))))) |
(* -1/2 (/ 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 (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(/ -1/2 b) |
(- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))) |
(- (* a (+ (* -9/16 (/ (* a (pow c 2)) (pow b 5))) (* -3/8 (/ c (pow b 3))))) (* 1/2 (/ 1 b))) |
(- (* a (+ (* -9/16 (/ (* a (pow c 2)) (pow b 5))) (* -3/8 (/ c (pow b 3))))) (* 1/2 (/ 1 b))) |
(/ -1/3 a) |
(/ -1/3 a) |
(/ -1/3 a) |
(/ -1/3 a) |
(* 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)))) |
(* -1/2 (/ 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))))))) |
(* -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)))))))) |
(/ (+ (* -1/3 b) (* 1/3 b)) a) |
(/ (+ (* -1/2 (/ (* a c) b)) (+ (* -1/3 b) (* 1/3 b))) a) |
(/ (+ (* -1/3 b) (+ (* 1/3 b) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))))) a) |
(/ (+ (* -1/3 b) (+ (* 1/3 b) (* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))))) a) |
(/ 1/3 a) |
(/ 1/3 a) |
(/ 1/3 a) |
(/ 1/3 a) |
(* 1/3 (/ b a)) |
(/ (+ (* -1/2 (/ (* a c) b)) (* 1/3 b)) a) |
(/ (+ (* 1/3 b) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))) a) |
(/ (+ (* 1/3 b) (* 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)) |
(+ (* -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)))))))))) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* 3/2 (/ a b)) |
(* a (+ (* 9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b)))) |
(* a (+ (* a (+ (* 9/8 (/ c (pow b 3))) (* 27/16 (/ (* a (pow c 2)) (pow b 5))))) (* 3/2 (/ 1 b)))) |
(* a (+ (* a (+ (* 9/8 (/ c (pow b 3))) (* a (+ (* -3 (* a (+ (* -27/32 (/ (pow c 3) (pow b 7))) (* -27/128 (/ (pow c 3) (pow b 7)))))) (* 27/16 (/ (pow c 2) (pow b 5))))))) (* 3/2 (/ 1 b)))) |
(* -1/3 (/ c a)) |
(* -1/3 (/ c a)) |
(* -1/3 (/ c a)) |
(* -1/3 (/ c a)) |
(pow b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* a (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
(* a (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
(* a (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (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 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* 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 -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)))))) |
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -3/8 (/ (pow c 2) (* a (pow b 3)))))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (+ (* -1/2 (/ c (* (pow a 2) b))) (* -3/8 (/ (pow c 2) (* a (pow b 3))))))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (+ (* -1/2 (/ c (* (pow a 2) b))) (* -3/8 (/ (pow c 2) (* a (pow b 3))))))) |
(* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 5))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 2) (pow b 5))) (* -3/8 (/ c (* a (pow b 3)))))) |
(* (pow a 2) (- (+ (* -9/16 (/ (pow c 2) (pow b 5))) (* -3/8 (/ c (* a (pow b 3))))) (/ 1/2 (* (pow a 2) b)))) |
(* (pow a 2) (- (+ (* -9/16 (/ (pow c 2) (pow b 5))) (* -3/8 (/ c (* a (pow b 3))))) (/ 1/2 (* (pow a 2) b)))) |
(/ -1/3 a) |
(/ -1/3 a) |
(/ -1/3 a) |
(/ -1/3 a) |
(* -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))))) |
(* 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)))))) |
(* (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))) |
(* 1/3 (* (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 a) |
(/ 1/3 a) |
(/ 1/3 a) |
(/ 1/3 a) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -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))))) |
(+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/48 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* -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) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* 3 (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) |
(+ (* -3 (/ b (* c (pow (sqrt -3) 2)))) (* 3 (* (sqrt (/ a c)) (/ 1 (sqrt -3))))) |
(- (+ (* -1 (/ (+ (* -3 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow a 2))) (* 3 (* (sqrt (/ a c)) (/ 1 (sqrt -3))))) (* 3 (/ b (* c (pow (sqrt -3) 2))))) |
(- (+ (* -1 (/ (+ (* -3/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -3) 4)))) (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -3 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3))))) (pow a 3))) (* 3 (* (sqrt (/ a c)) (/ 1 (sqrt -3))))) (+ (* -3 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* 3/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3 (/ b (* c (pow (sqrt -3) 2))))))) |
(* -1/3 (/ c a)) |
(* -1/3 (/ c a)) |
(* -1/3 (/ c a)) |
(* -1/3 (/ c a)) |
(* -3 (* a c)) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -1 (* a (+ (* 9/16 (/ (pow c 3) (* a (pow b 5)))) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(* -1 (* a (+ (* 9/16 (/ (pow c 3) (* a (pow b 5)))) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(* -1 (* a (+ (* 9/16 (/ (pow c 3) (* a (pow b 5)))) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(* -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 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -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))))) |
(* -1/3 (* (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))))) |
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -3/8 (/ (pow c 2) (* a (pow b 3)))))) |
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5))))) |
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5))))) |
(* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 5))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 2) (pow b 5))) (* -3/8 (/ c (* a (pow b 3)))))) |
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b)))) a)) (* -9/16 (/ (pow c 2) (pow b 5))))) |
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b)))) a)) (* -9/16 (/ (pow c 2) (pow b 5))))) |
(/ -1/3 a) |
(/ -1/3 a) |
(/ -1/3 a) |
(/ -1/3 a) |
(* (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)))))) |
(* -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 (* (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)))))) |
(* -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))))) |
(/ 1/3 a) |
(/ 1/3 a) |
(/ 1/3 a) |
(/ 1/3 a) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (+ (* -1/48 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (* 1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))))) |
(* (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)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) |
(+ (* -3 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) (* 3 (/ b (* c (pow (sqrt 3) 2))))) |
(+ (* -3 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (- (+ (* -3/2 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) (* 3 (/ (* a b) (* c (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) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* 3/2 (/ (* a (pow b 3)) (* (pow c 2) (pow (sqrt 3) 4))))) (+ (* -3/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) a)) (* 3 (/ (* a b) (* c (pow (sqrt 3) 2))))) a))) |
(* -1/3 (/ c a)) |
(* -1/3 (/ c a)) |
(* -1/3 (/ c a)) |
(* -1/3 (/ c 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)))) |
| Outputs |
|---|
(* -9/16 (/ (pow c 3) (pow b 5))) |
(*.f64 (/.f64 (*.f64 (*.f64 c c) c) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64)) |
(* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5))))) |
(*.f64 (fma.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 7 binary64)))) #s(literal -135/128 binary64) (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64)))) (*.f64 (*.f64 c c) c)) |
(* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5))))) |
(*.f64 (fma.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 7 binary64)))) #s(literal -135/128 binary64) (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64)))) (*.f64 (*.f64 c c) c)) |
(* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5))))) |
(*.f64 (fma.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 7 binary64)))) #s(literal -135/128 binary64) (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64)))) (*.f64 (*.f64 c c) c)) |
(* -1/2 (/ c b)) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 #s(literal -1/2 binary64) b)) c) |
(* 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)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)) (pow.f64 b #s(literal 7 binary64)))) c (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) a) #s(literal -135/128 binary64)) (pow.f64 b #s(literal 7 binary64))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) a) #s(literal -135/128 binary64)) (pow.f64 b #s(literal 7 binary64))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) a) #s(literal -135/128 binary64)) (pow.f64 b #s(literal 7 binary64))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) a) #s(literal -135/128 binary64)) (pow.f64 b #s(literal 7 binary64))) |
(* -1/2 (/ c b)) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
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(* -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 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (*.f64 a c)) (/.f64 (-.f64 (/.f64 (*.f64 a b) #s(literal -3 binary64)) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 (*.f64 a a) a) c)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #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 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (*.f64 a c)) (/.f64 (-.f64 (/.f64 (*.f64 a b) #s(literal -3 binary64)) (/.f64 (fma.f64 (neg.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (*.f64 (*.f64 a a) a) c)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (*.f64 (*.f64 a a) a) c))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64))) (/.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 a c))) (/.f64 (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 (*.f64 a a) a) c)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 b b) b)) (*.f64 (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 4 binary64)) c)) #s(literal -1/2 binary64))) (neg.f64 a)))) a)) a))) (neg.f64 a)) |
(* -3 (* a c)) |
(*.f64 #s(literal -3 binary64) (*.f64 a c)) |
(* -3 (* a c)) |
(*.f64 #s(literal -3 binary64) (*.f64 a c)) |
(* -3 (* a c)) |
(*.f64 #s(literal -3 binary64) (*.f64 a c)) |
(* -3 (* a c)) |
(*.f64 #s(literal -3 binary64) (*.f64 a c)) |
(* -3 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) |
(*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 (/.f64 a c))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) |
(+ (* -3 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) (* 3 (/ b (* c (pow (sqrt 3) 2))))) |
(fma.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 a c))) #s(literal -3 binary64) (neg.f64 (/.f64 (neg.f64 b) c))) |
(+ (* -3 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (- (+ (* -3/2 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) (* 3 (/ (* a b) (* c (pow (sqrt 3) 2))))) a))) |
(fma.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 (/.f64 a c))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 a (*.f64 (*.f64 c c) c))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) #s(literal 3/2 binary64) (neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a b) c)))) (neg.f64 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) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* 3/2 (/ (* a (pow b 3)) (* (pow c 2) (pow (sqrt 3) 4))))) (+ (* -3/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) a)) (* 3 (/ (* a b) (* c (pow (sqrt 3) 2))))) a))) |
(fma.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 (/.f64 a c))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (/.f64 (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) #s(literal 3/2 binary64))) (sqrt.f64 #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) b) a) (*.f64 (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 4 binary64)) (*.f64 c c))) #s(literal 3/2 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) #s(literal -3/2 binary64)))) (neg.f64 a)) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a b) c))) (neg.f64 a))) |
(* -1/3 (/ c a)) |
(*.f64 (/.f64 c a) #s(literal -1/3 binary64)) |
(* -1/3 (/ c a)) |
(*.f64 (/.f64 c a) #s(literal -1/3 binary64)) |
(* -1/3 (/ c a)) |
(*.f64 (/.f64 c a) #s(literal -1/3 binary64)) |
(* -1/3 (/ c a)) |
(*.f64 (/.f64 c a) #s(literal -1/3 binary64)) |
(* -3 (* a c)) |
(*.f64 #s(literal -3 binary64) (*.f64 a c)) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(*.f64 (neg.f64 a) (fma.f64 #s(literal 3 binary64) c (/.f64 (*.f64 b b) (neg.f64 a)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(*.f64 (neg.f64 a) (fma.f64 #s(literal 3 binary64) c (/.f64 (*.f64 b b) (neg.f64 a)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(*.f64 (neg.f64 a) (fma.f64 #s(literal 3 binary64) c (/.f64 (*.f64 b b) (neg.f64 a)))) |
| 5 082× | lower-*.f32 |
| 5 036× | lower-*.f64 |
| 4 568× | lower-fma.f32 |
| 4 558× | lower-fma.f64 |
| 3 168× | lower-pow.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 80 | 531 |
| 0 | 129 | 476 |
| 1 | 501 | 398 |
| 2 | 4264 | 388 |
| 0 | 8683 | 377 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) |
(*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c) |
#s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) |
(/.f64 #s(literal -1/2 binary64) b) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a)) |
(neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)) |
(*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a))) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b) |
(fma.f64 (neg.f64 b) (/.f64 #s(literal 1/3 binary64) a) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))))) |
(neg.f64 b) |
(/.f64 #s(literal 1/3 binary64) a) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) |
(*.f64 (/.f64 (-.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (*.f64 b b)) (*.f64 #s(literal 9 binary64) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)))) |
(-.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (*.f64 b b)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))) |
(/.f64 (-.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (*.f64 b b)) (*.f64 #s(literal 9 binary64) (*.f64 a a))) |
(*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)) |
(*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b)) |
(fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) |
| Outputs |
|---|
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) c) #s(literal -9/16 binary64)) (*.f64 (*.f64 (*.f64 c c) c) #s(literal -9/16 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -405/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b))) (*.f64 (*.f64 (*.f64 c c) c) c)) (*.f64 #s(literal -1/6 binary64) a)) (*.f64 #s(literal -1/6 binary64) a)) (*.f64 (/.f64 #s(literal -405/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b))) (*.f64 (*.f64 (*.f64 c c) c) c)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 c (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b)) #s(literal -9/16 binary64)) (*.f64 c c) (*.f64 (neg.f64 a) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 c c) c) c)) (/.f64 #s(literal -405/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b)))))))) |
(*.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal -405/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b))) (*.f64 (*.f64 (*.f64 c c) c) c)) a) #s(literal 3 binary64)) #s(literal -1/216 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (*.f64 c c)) (*.f64 #s(literal -729/4096 binary64) (*.f64 (*.f64 c c) c))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 b b) b)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal -405/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b))) (*.f64 (*.f64 (*.f64 c c) c) c)) (*.f64 #s(literal -1/6 binary64) a)) (-.f64 (*.f64 (*.f64 (/.f64 #s(literal -405/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b))) (*.f64 (*.f64 (*.f64 c c) c) c)) (*.f64 #s(literal -1/6 binary64) a)) (*.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 c c)) (/.f64 c (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b)))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) c) #s(literal -9/16 binary64)) (*.f64 (*.f64 (*.f64 c c) c) #s(literal -9/16 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b)))))) |
(pow.f64 (/.f64 (fma.f64 (*.f64 (/.f64 c (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b)) #s(literal -9/16 binary64)) (*.f64 c c) (*.f64 (neg.f64 a) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 c c) c) c)) (/.f64 #s(literal -405/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b)))))) (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) c) #s(literal -9/16 binary64)) (*.f64 (*.f64 (*.f64 c c) c) #s(literal -9/16 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -405/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b))) (*.f64 (*.f64 (*.f64 c c) c) c)) (*.f64 #s(literal -1/6 binary64) a)) (*.f64 #s(literal -1/6 binary64) a)) (*.f64 (/.f64 #s(literal -405/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b))) (*.f64 (*.f64 (*.f64 c c) c) c))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal -405/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b))) (*.f64 (*.f64 (*.f64 c c) c) c)) (*.f64 #s(literal -1/6 binary64) a)) (-.f64 (*.f64 (*.f64 (/.f64 #s(literal -405/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b))) (*.f64 (*.f64 (*.f64 c c) c) c)) (*.f64 #s(literal -1/6 binary64) a)) (*.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 c c)) (/.f64 c (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b)))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) c) #s(literal -9/16 binary64)) (*.f64 (*.f64 (*.f64 c c) c) #s(literal -9/16 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b)))) (fma.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal -405/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b))) (*.f64 (*.f64 (*.f64 c c) c) c)) a) #s(literal 3 binary64)) #s(literal -1/216 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (*.f64 c c)) (*.f64 #s(literal -729/4096 binary64) (*.f64 (*.f64 c c) c))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 b b) b))))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -405/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b))) (*.f64 (*.f64 (*.f64 c c) c) c)) (*.f64 #s(literal -1/6 binary64) a)) (*.f64 #s(literal -1/6 binary64) a)) (*.f64 (/.f64 #s(literal -405/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b))) (*.f64 (*.f64 (*.f64 c c) c) c))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) c) #s(literal -9/16 binary64)) (*.f64 (*.f64 (*.f64 c c) c) #s(literal -9/16 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b)))) (-.f64 (*.f64 (*.f64 (/.f64 #s(literal -405/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (*.f64 b b) b))) (*.f64 (*.f64 (*.f64 c c) c) c)) (*.f64 #s(literal -1/6 binary64) a)) (*.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 c c)) (/.f64 c (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b))))) |
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(*.f64 (*.f64 (fma.f64 (*.f64 a c) #s(literal 3 binary64) (*.f64 b b)) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a c) #s(literal 3 binary64) (*.f64 b b)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 9 binary64) (*.f64 (*.f64 (*.f64 b b) b) b)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 (neg.f64 b) b)))) |
(*.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) (*.f64 (*.f64 #s(literal 27 binary64) (*.f64 (*.f64 a a) a)) (*.f64 (*.f64 c c) c))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) c) a) (fma.f64 (*.f64 a c) #s(literal 3 binary64) (*.f64 b b)) (*.f64 (*.f64 (*.f64 b b) b) b)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 27 binary64) (*.f64 (*.f64 a a) a)) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 9 binary64) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -3 binary64))))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) |
(pow.f64 (/.f64 (fma.f64 (*.f64 a c) #s(literal 3 binary64) (*.f64 b b)) (*.f64 (fma.f64 (*.f64 a c) #s(literal 3 binary64) (*.f64 b b)) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) c) a) (fma.f64 (*.f64 a c) #s(literal 3 binary64) (*.f64 b b)) (*.f64 (*.f64 (*.f64 b b) b) b)) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) (*.f64 (*.f64 #s(literal 27 binary64) (*.f64 (*.f64 a a) a)) (*.f64 (*.f64 c c) c)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 (neg.f64 b) b)) (fma.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 9 binary64) (*.f64 (*.f64 (*.f64 b b) b) b))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 9 binary64) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -3 binary64))))) (fma.f64 (*.f64 #s(literal 27 binary64) (*.f64 (*.f64 a a) a)) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) #s(literal 2 binary64)) |
(pow.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 a c) #s(literal 3 binary64) (*.f64 b b)) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (neg.f64 (fma.f64 (*.f64 a c) #s(literal 3 binary64) (*.f64 b b)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) (*.f64 (*.f64 #s(literal 27 binary64) (*.f64 (*.f64 a a) a)) (*.f64 (*.f64 c c) c)))) (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) c) a) (fma.f64 (*.f64 a c) #s(literal 3 binary64) (*.f64 b b)) (*.f64 (*.f64 (*.f64 b b) b) b)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 9 binary64) (*.f64 (*.f64 (*.f64 b b) b) b))) (neg.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 (neg.f64 b) b)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 27 binary64) (*.f64 (*.f64 a a) a)) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))) (neg.f64 (fma.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 9 binary64) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -3 binary64))))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 a c) #s(literal 3 binary64) (*.f64 b b)) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (-.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -3 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 a c) #s(literal 3 binary64) (*.f64 b b)) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (fma.f64 (*.f64 a c) #s(literal 3 binary64) (*.f64 b b))) |
(/.f64 (fma.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 9 binary64) (*.f64 (*.f64 (*.f64 b b) b) b)) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 (neg.f64 b) b))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) (*.f64 (*.f64 #s(literal 27 binary64) (*.f64 (*.f64 a a) a)) (*.f64 (*.f64 c c) c))) (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) c) a) (fma.f64 (*.f64 a c) #s(literal 3 binary64) (*.f64 b b)) (*.f64 (*.f64 (*.f64 b b) b) b))) |
(/.f64 (fma.f64 (*.f64 #s(literal 27 binary64) (*.f64 (*.f64 a a) a)) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))) (fma.f64 (*.f64 (*.f64 b b) b) b (-.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 9 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 a c) #s(literal -3 binary64)) b) b)))) |
(/.f64 (fma.f64 (*.f64 #s(literal 27 binary64) (*.f64 (*.f64 a a) a)) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))) (fma.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 9 binary64) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 a c) #s(literal 3 binary64) (*.f64 b b)) (*.f64 (fma.f64 (*.f64 a c) #s(literal 3 binary64) (*.f64 b b)) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) c) a) (fma.f64 (*.f64 a c) #s(literal 3 binary64) (*.f64 b b)) (*.f64 (*.f64 (*.f64 b b) b) b)) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) (*.f64 (*.f64 #s(literal 27 binary64) (*.f64 (*.f64 a a) a)) (*.f64 (*.f64 c c) c))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 (neg.f64 b) b)) (fma.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 9 binary64) (*.f64 (*.f64 (*.f64 b b) b) b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 9 binary64) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -3 binary64))))) (fma.f64 (*.f64 #s(literal 27 binary64) (*.f64 (*.f64 a a) a)) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))))) |
(fma.f64 (*.f64 (neg.f64 b) #s(literal -1 binary64)) b (*.f64 (*.f64 a c) #s(literal -3 binary64))) |
(fma.f64 (*.f64 #s(literal 3 binary64) a) (neg.f64 c) (*.f64 b b)) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
(fma.f64 (neg.f64 c) (*.f64 #s(literal 3 binary64) a) (*.f64 b b)) |
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 b) b) (*.f64 (*.f64 a c) #s(literal -3 binary64))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) c) a) (*.f64 b b)) |
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 (*.f64 a c) #s(literal -3 binary64))) |
(fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) |
(fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) |
(fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)) |
(fma.f64 #s(literal 1 binary64) (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -3 binary64))) |
(fma.f64 #s(literal 3 binary64) (neg.f64 (*.f64 a c)) (*.f64 b b)) |
(fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) |
(fma.f64 (*.f64 b b) #s(literal 1 binary64) (*.f64 (*.f64 a c) #s(literal -3 binary64))) |
(fma.f64 b b (*.f64 (*.f64 a c) #s(literal -3 binary64))) |
(fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)) |
(sqrt.f64 (*.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (fma.f64 (*.f64 a c) #s(literal 3 binary64) (*.f64 b b))) (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 9 binary64)) (fma.f64 (*.f64 a c) #s(literal 3 binary64) (*.f64 b b)))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) c) a) (fma.f64 (*.f64 a c) #s(literal 3 binary64) (*.f64 b b)) (*.f64 (*.f64 (*.f64 b b) b) b))) (/.f64 (*.f64 (*.f64 #s(literal 27 binary64) (*.f64 (*.f64 a a) a)) (*.f64 (*.f64 c c) c)) (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) c) a) (fma.f64 (*.f64 a c) #s(literal 3 binary64) (*.f64 b b)) (*.f64 (*.f64 (*.f64 b b) b) b)))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 9 binary64)) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 (neg.f64 b) b))) (/.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 (neg.f64 b) b)))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) c) a)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) |
(+.f64 (*.f64 (*.f64 a c) #s(literal -3 binary64)) (*.f64 b b)) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -3 binary64))) |
Compiled 65 907 to 4 150 computations (93.7% saved)
55 alts after pruning (51 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 684 | 23 | 1 707 |
| Fresh | 27 | 28 | 55 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 715 | 55 | 1 770 |
| Status | Accuracy | Program |
|---|---|---|
| 32.4% | (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) a) #s(literal 1/3 binary64) (/.f64 b (*.f64 #s(literal -3 binary64) a))) | |
| 31.5% | (fma.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (*.f64 b (/.f64 #s(literal -1/3 binary64) a))) | |
| 31.5% | (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (/.f64 #s(literal 1 binary64) a) (*.f64 b (/.f64 #s(literal -1/3 binary64) a))) | |
| 31.2% | (fma.f64 (*.f64 #s(literal 1/3 binary64) (neg.f64 b)) (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))))) | |
| 31.6% | (fma.f64 (neg.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1/3 binary64)) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))))) | |
| 31.9% | (fma.f64 b (/.f64 #s(literal -1/3 binary64) a) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))))) | |
| 31.5% | (fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (neg.f64 b)) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))))) | |
| 98.9% | (/.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) #s(literal 0 binary64)) (*.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b) (/.f64 #s(literal 1/3 binary64) a)) (*.f64 (*.f64 a a) #s(literal 9 binary64)))) | |
| ▶ | 32.0% | (/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) a (*.f64 a (*.f64 #s(literal 1/3 binary64) (neg.f64 b)))) (*.f64 a a)) |
| 31.2% | (/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (neg.f64 b)) a (*.f64 a (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))))) (*.f64 a a)) | |
| 30.3% | (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b) a) #s(literal 3 binary64)) | |
| 98.9% | (/.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)) (fma.f64 (*.f64 a c) #s(literal -3 binary64) #s(literal 0 binary64))) #s(literal 9 binary64)) (*.f64 a a)) | |
| 29.9% | (/.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) #s(literal 3 binary64)) (/.f64 b #s(literal 3 binary64))) a) | |
| 29.5% | (/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) a) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (/.f64 b a))) #s(literal 9 binary64)) | |
| 30.3% | (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) | |
| 29.8% | (/.f64 (-.f64 (neg.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) a)) (neg.f64 (/.f64 b a))) #s(literal -3 binary64)) | |
| 30.3% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) | |
| 30.2% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 b (/.f64 b c))) c)))) (*.f64 #s(literal 3 binary64) a)) | |
| 98.9% | (/.f64 (*.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) #s(literal 0 binary64)) (*.f64 #s(literal 3 binary64) a)) (*.f64 (*.f64 (*.f64 a a) #s(literal 9 binary64)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))) | |
| 98.9% | (/.f64 (*.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) #s(literal 0 binary64)) #s(literal 1/9 binary64)) (*.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b) (/.f64 #s(literal 1/3 binary64) a)) (*.f64 a a))) | |
| 30.3% | (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(literal 3 binary64)) | |
| 30.3% | (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b) #s(literal 1/3 binary64)) a) | |
| 98.9% | (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) #s(literal 0 binary64)) #s(literal 1/9 binary64)) (*.f64 #s(literal 3 binary64) a)) (*.f64 (*.f64 a a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))) | |
| 81.9% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a)) | |
| 30.3% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) | |
| 30.3% | (/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) a)) | |
| ✓ | 29.7% | (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64)))) |
| 29.2% | (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (*.f64 (/.f64 b a) #s(literal 1/3 binary64))) | |
| ▶ | 99.1% | (*.f64 (/.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) #s(literal 0 binary64)) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a))) |
| 30.3% | (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64)) | |
| 30.2% | (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b) #s(literal 1/3 binary64))) | |
| 30.3% | (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)) | |
| 30.3% | (*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)) (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -3 binary64))) | |
| 30.3% | (*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)) (/.f64 #s(literal 1 binary64) (/.f64 a #s(literal -1/3 binary64)))) | |
| 30.3% | (*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -3 binary64)))) b)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a))) | |
| 99.1% | (*.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a))) | |
| 99.1% | (*.f64 #s(approx (/ (- (+ (* (* a c) -3) (* b b)) (* b b)) (* 9 (* a a))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)))) | |
| 81.8% | (*.f64 #s(approx (neg (- (sqrt (+ (* (* a c) -3) (* b b))) b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a))) | |
| 91.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) | |
| ✓ | 91.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) b)) |
| 90.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) (/.f64 (fma.f64 (*.f64 (*.f64 b c) b) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) c) #s(literal -3/8 binary64))) (*.f64 b b))) b)) | |
| 90.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) (*.f64 (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) c)) (*.f64 c c))) b)) | |
| 91.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) (*.f64 (fma.f64 (*.f64 a #s(literal -3/8 binary64)) (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64)) c)) b)) | |
| 82.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) | |
| ▶ | 90.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c)) |
| 90.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (*.f64 #s(literal -1/2 binary64) c)) (/.f64 #s(literal 1 binary64) b))) | |
| 93.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 #s(approx (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -9/16 binary64) a) a) (/.f64 c (*.f64 b b)) (*.f64 a #s(literal -3/8 binary64))) (*.f64 (*.f64 b b) b))) c (/.f64 #s(literal -1/2 binary64) b)) c)) | |
| ✓ | 82.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
| 90.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 a #s(literal -3/8 binary64)) (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64)) b)) c)) | |
| ✓ | 82.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) |
| 90.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (/.f64 (fma.f64 (*.f64 (*.f64 b c) b) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) c) #s(literal -3/8 binary64))) (*.f64 (*.f64 b b) b)))) | |
| ▶ | 90.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (*.f64 (fma.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a))) |
| 90.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (*.f64 (fma.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 b c))) (*.f64 c c)))) | |
| 82.2% | #s(approx (+ (* (neg b) (/ 1/3 a)) (* (/ 1/3 a) (sqrt (+ (* (* a c) -3) (* b b))))) (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64) #s(literal 0 binary64)) a)) | |
| ▶ | 3.2% | #s(approx (+ (* (neg b) (/ 1/3 a)) (* (/ 1/3 a) (sqrt (+ (* (* a c) -3) (* b b))))) #s(literal 0 binary64)) |
Compiled 2 311 to 1 467 computations (36.5% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) | |
| cost-diff | 128 | (*.f64 #s(literal 1/3 binary64) (neg.f64 b)) | |
| cost-diff | 512 | (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) a (*.f64 a (*.f64 #s(literal 1/3 binary64) (neg.f64 b)))) | |
| cost-diff | 640 | (/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) a (*.f64 a (*.f64 #s(literal 1/3 binary64) (neg.f64 b)))) (*.f64 a a)) | |
| cost-diff | 0 | #s(approx (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (*.f64 (fma.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a)) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (*.f64 (fma.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a))) | |
| cost-diff | 320 | (fma.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) | |
| cost-diff | 640 | (*.f64 (fma.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a) | |
| cost-diff | 0 | (/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) | |
| cost-diff | 0 | (fma.f64 (/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c)) | |
| cost-diff | 320 | (*.f64 (fma.f64 (/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c) | |
| cost-diff | 0 | #s(approx (+ (* (neg b) (/ 1/3 a)) (* (/ 1/3 a) (sqrt (+ (* (* a c) -3) (* b b))))) #s(literal 0 binary64)) | |
| cost-diff | 64 | (fma.f64 (*.f64 a c) #s(literal -3 binary64) #s(literal 0 binary64)) | |
| cost-diff | 128 | (/.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) #s(literal 0 binary64)) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))) | |
| cost-diff | 320 | (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a)) | |
| cost-diff | 1536 | (*.f64 (/.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) #s(literal 0 binary64)) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a))) |
| 3 698× | lower-*.f32 |
| 3 670× | lower-*.f64 |
| 2 784× | lower-fma.f32 |
| 2 774× | lower-fma.f64 |
| 2 018× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 67 | 493 |
| 0 | 102 | 482 |
| 1 | 205 | 443 |
| 2 | 531 | 430 |
| 3 | 1846 | 417 |
| 4 | 4705 | 415 |
| 5 | 6959 | 415 |
| 0 | 8205 | 412 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) #s(literal 0 binary64)) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a))) |
(/.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) #s(literal 0 binary64)) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))) |
(fma.f64 (*.f64 a c) #s(literal -3 binary64) #s(literal 0 binary64)) |
(*.f64 a c) |
a |
c |
#s(literal -3 binary64) |
#s(literal 0 binary64) |
(neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) |
(fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) |
(*.f64 b b) |
b |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a)) |
#s(literal 1 binary64) |
(*.f64 #s(literal -3 binary64) a) |
#s(approx (+ (* (neg b) (/ 1/3 a)) (* (/ 1/3 a) (sqrt (+ (* (* a c) -3) (* b b))))) #s(literal 0 binary64)) |
#s(literal 0 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c)) |
(*.f64 (fma.f64 (/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c) |
(fma.f64 (/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) |
(/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) |
(*.f64 a c) |
a |
c |
(*.f64 (*.f64 b b) b) |
(*.f64 b b) |
b |
#s(literal -3/8 binary64) |
(/.f64 #s(literal -1/2 binary64) b) |
#s(literal -1/2 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (*.f64 (fma.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a))) |
#s(approx (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (*.f64 (fma.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a)) |
(*.f64 (fma.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a) |
(fma.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) |
(/.f64 c (*.f64 a b)) |
c |
(*.f64 a b) |
a |
b |
#s(literal -1/2 binary64) |
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b)) |
(*.f64 (*.f64 c c) #s(literal -3/8 binary64)) |
(*.f64 c c) |
#s(literal -3/8 binary64) |
(*.f64 (*.f64 b b) b) |
(*.f64 b b) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) a (*.f64 a (*.f64 #s(literal 1/3 binary64) (neg.f64 b)))) (*.f64 a a)) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) a (*.f64 a (*.f64 #s(literal 1/3 binary64) (neg.f64 b)))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) |
#s(literal 1/3 binary64) |
(sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) |
(fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) |
(*.f64 a c) |
a |
c |
#s(literal -3 binary64) |
(*.f64 b b) |
b |
(*.f64 a (*.f64 #s(literal 1/3 binary64) (neg.f64 b))) |
(*.f64 #s(literal 1/3 binary64) (neg.f64 b)) |
(neg.f64 b) |
(*.f64 a a) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) #s(literal 0 binary64)) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a))) |
(/.f64 (neg.f64 c) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
(/.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) #s(literal 0 binary64)) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))) |
(/.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
(fma.f64 (*.f64 a c) #s(literal -3 binary64) #s(literal 0 binary64)) |
(*.f64 (*.f64 #s(literal -3 binary64) a) c) |
(*.f64 a c) |
(*.f64 c a) |
a |
c |
#s(literal -3 binary64) |
#s(literal 0 binary64) |
(neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)) |
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
(*.f64 b b) |
b |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a)) |
(/.f64 #s(literal -1/3 binary64) a) |
#s(literal 1 binary64) |
(*.f64 #s(literal -3 binary64) a) |
#s(approx (+ (* (neg b) (/ 1/3 a)) (* (/ 1/3 a) (sqrt (+ (* (* a c) -3) (* b b))))) #s(literal 0 binary64)) |
#s(literal 0 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) (fma.f64 (*.f64 (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) a) c #s(literal -1/2 binary64)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c) |
(*.f64 (/.f64 c b) (fma.f64 (*.f64 (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) a) c #s(literal -1/2 binary64))) |
(fma.f64 (/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) |
(fma.f64 (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) |
(/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) |
(*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) c) |
(*.f64 a c) |
(*.f64 c a) |
a |
c |
(*.f64 (*.f64 b b) b) |
(*.f64 b b) |
b |
#s(literal -3/8 binary64) |
(/.f64 #s(literal -1/2 binary64) b) |
#s(literal -1/2 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (*.f64 (fma.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (*.f64 (/.f64 c b) (fma.f64 (*.f64 (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) a) c #s(literal -1/2 binary64))))) |
#s(approx (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (*.f64 (fma.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a)) |
#s(approx (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (*.f64 (/.f64 c b) (fma.f64 (*.f64 (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) a) c #s(literal -1/2 binary64)))) |
(*.f64 (fma.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a) |
(*.f64 (/.f64 c b) (fma.f64 (*.f64 (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) a) c #s(literal -1/2 binary64))) |
(fma.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) |
(*.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 b a))) c) |
(/.f64 c (*.f64 a b)) |
(/.f64 c (*.f64 b a)) |
c |
(*.f64 a b) |
(*.f64 b a) |
a |
b |
#s(literal -1/2 binary64) |
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b)) |
(*.f64 (*.f64 (/.f64 c (*.f64 (*.f64 b b) b)) c) #s(literal -3/8 binary64)) |
(*.f64 (*.f64 c c) #s(literal -3/8 binary64)) |
(*.f64 c c) |
#s(literal -3/8 binary64) |
(*.f64 (*.f64 b b) b) |
(*.f64 b b) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) a (*.f64 a (*.f64 #s(literal 1/3 binary64) (neg.f64 b)))) (*.f64 a a)) |
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (/.f64 #s(literal -1/3 binary64) a)) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) a (*.f64 a (*.f64 #s(literal 1/3 binary64) (neg.f64 b)))) |
(*.f64 (*.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) |
#s(literal 1/3 binary64) |
(sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
(*.f64 a c) |
(*.f64 c a) |
a |
c |
#s(literal -3 binary64) |
(*.f64 b b) |
b |
(*.f64 a (*.f64 #s(literal 1/3 binary64) (neg.f64 b))) |
(*.f64 #s(literal -1/3 binary64) (*.f64 b a)) |
(*.f64 #s(literal 1/3 binary64) (neg.f64 b)) |
(*.f64 #s(literal -1/3 binary64) b) |
(neg.f64 b) |
(*.f64 a a) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.30078125 | (/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) a (*.f64 a (*.f64 #s(literal 1/3 binary64) (neg.f64 b)))) (*.f64 a a)) | |
| accuracy | 0.328125 | (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) | |
| accuracy | 0.34765625 | (*.f64 #s(literal 1/3 binary64) (neg.f64 b)) | |
| accuracy | 43.49540123344519 | (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) a (*.f64 a (*.f64 #s(literal 1/3 binary64) (neg.f64 b)))) | |
| accuracy | 0.2734375 | (*.f64 (fma.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a) | |
| accuracy | 0.28515625 | (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) | |
| accuracy | 0.344413769536884 | (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b)) | |
| accuracy | 5.706814698925362 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (*.f64 (fma.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a))) | |
| accuracy | 0.26171875 | (*.f64 (*.f64 b b) b) | |
| accuracy | 0.26953125 | (*.f64 (fma.f64 (/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c) | |
| accuracy | 0.32650375976844204 | (/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) | |
| accuracy | 5.706814698925362 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c)) | |
| accuracy | 61.95082216890454 | #s(approx (+ (* (neg b) (/ 1/3 a)) (* (/ 1/3 a) (sqrt (+ (* (* a c) -3) (* b b))))) #s(literal 0 binary64)) | |
| accuracy | 0.27734375 | (fma.f64 (*.f64 a c) #s(literal -3 binary64) #s(literal 0 binary64)) | |
| accuracy | 0.28125 | (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a)) | |
| accuracy | 0.32421875 | (/.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) #s(literal 0 binary64)) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))) | |
| accuracy | 0.38509750976844204 | (*.f64 (/.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) #s(literal 0 binary64)) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a))) |
| 145.0ms | 186× | 1 | valid |
| 28.0ms | 70× | 0 | valid |
Compiled 437 to 63 computations (85.6% saved)
ival-mult: 53.0ms (39.7% of total)ival-div: 31.0ms (23.2% of total)ival-add: 16.0ms (12% of total)adjust: 14.0ms (10.5% of total)const: 6.0ms (4.5% of total)ival-sqrt: 6.0ms (4.5% of total)ival-neg: 3.0ms (2.2% of total)ival-sub: 2.0ms (1.5% of total)exact: 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 (fma.f64 (*.f64 a c) #s(literal -3 binary64) #s(literal 0 binary64)) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a))) (patch (*.f64 (/.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) #s(literal 0 binary64)) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a)) (patch (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) #s(literal 0 binary64)) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))) (patch (/.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) #s(literal 0 binary64)) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 a c) #s(literal -3 binary64) #s(literal 0 binary64)) (patch (fma.f64 (*.f64 a c) #s(literal -3 binary64) #s(literal 0 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (neg b) (/ 1/3 a)) (* (/ 1/3 a) (sqrt (+ (* (* a c) -3) (* b b))))) #s(literal 0 binary64)) (patch #s(approx (+ (* (neg b) (/ 1/3 a)) (* (/ 1/3 a) (sqrt (+ (* (* a c) -3) (* b b))))) #s(literal 0 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c) (patch (*.f64 (fma.f64 (/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) (patch (fma.f64 (/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) (patch (/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a) (patch (*.f64 (fma.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) (patch (fma.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (*.f64 (fma.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (*.f64 (fma.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (*.f64 (fma.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a)) (patch #s(approx (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (*.f64 (fma.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) a (*.f64 a (*.f64 #s(literal 1/3 binary64) (neg.f64 b)))) (*.f64 a a)) (patch (/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) a (*.f64 a (*.f64 #s(literal 1/3 binary64) (neg.f64 b)))) (*.f64 a a)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) a (*.f64 a (*.f64 #s(literal 1/3 binary64) (neg.f64 b)))) (patch (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) a (*.f64 a (*.f64 #s(literal 1/3 binary64) (neg.f64 b)))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/3 binary64) (neg.f64 b)) (patch (*.f64 #s(literal 1/3 binary64) (neg.f64 b)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (patch (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 b b) b) (patch (*.f64 (*.f64 b b) b) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b)) (patch (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (patch (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1/2 (/ c b)) (taylor 0 c) (#s(alt (*.f64 (/.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) #s(literal 0 binary64)) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a))) (patch (*.f64 (/.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) #s(literal 0 binary64)) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a))) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (*.f64 (/.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) #s(literal 0 binary64)) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a))) (patch (*.f64 (/.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) #s(literal 0 binary64)) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a))) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (*.f64 (/.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) #s(literal 0 binary64)) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a))) (patch (*.f64 (/.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) #s(literal 0 binary64)) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a))) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* c (+ (* -27/32 (/ (pow a 3) (pow b 7))) (* -27/128 (/ (pow a 3) (pow b 7))))))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (*.f64 (/.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) #s(literal 0 binary64)) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a))) (patch (*.f64 (/.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) #s(literal 0 binary64)) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a))) #<representation binary64>) () ())) ()) |
#s(alt (* 3/2 (/ (* a c) b)) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) #s(literal 0 binary64)) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))) (patch (/.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) #s(literal 0 binary64)) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* 9/8 (/ (* (pow a 2) c) (pow b 3))) (* 3/2 (/ a b)))) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) #s(literal 0 binary64)) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))) (patch (/.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) #s(literal 0 binary64)) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* 3/2 (/ a b)) (* c (+ (* 9/8 (/ (pow a 2) (pow b 3))) (* 27/16 (/ (* (pow a 3) c) (pow b 5))))))) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) #s(literal 0 binary64)) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))) (patch (/.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) #s(literal 0 binary64)) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* 3/2 (/ a b)) (* c (+ (* 9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -3 (* c (+ (* -27/32 (/ (pow a 4) (pow b 7))) (* -27/128 (/ (pow a 4) (pow b 7)))))) (* 27/16 (/ (pow a 3) (pow b 5))))))))) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) #s(literal 0 binary64)) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))) (patch (/.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) #s(literal 0 binary64)) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (* a c)) (taylor 0 c) (#s(alt (fma.f64 (*.f64 a c) #s(literal -3 binary64) #s(literal 0 binary64)) (patch (fma.f64 (*.f64 a c) #s(literal -3 binary64) #s(literal 0 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (* a c)) (taylor 0 c) (#s(alt (fma.f64 (*.f64 a c) #s(literal -3 binary64) #s(literal 0 binary64)) (patch (fma.f64 (*.f64 a c) #s(literal -3 binary64) #s(literal 0 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (* a c)) (taylor 0 c) (#s(alt (fma.f64 (*.f64 a c) #s(literal -3 binary64) #s(literal 0 binary64)) (patch (fma.f64 (*.f64 a c) #s(literal -3 binary64) #s(literal 0 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (* a c)) (taylor 0 c) (#s(alt (fma.f64 (*.f64 a c) #s(literal -3 binary64) #s(literal 0 binary64)) (patch (fma.f64 (*.f64 a c) #s(literal -3 binary64) #s(literal 0 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/3 (/ b a)) (* 1/3 (/ b a))) (taylor 0 c) (#s(alt #s(approx (+ (* (neg b) (/ 1/3 a)) (* (/ 1/3 a) (sqrt (+ (* (* a c) -3) (* b b))))) #s(literal 0 binary64)) (patch #s(approx (+ (* (neg b) (/ 1/3 a)) (* (/ 1/3 a) (sqrt (+ (* (* a c) -3) (* b b))))) #s(literal 0 binary64)) #<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 (fma.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a) (patch (*.f64 (fma.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a) #<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 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a) (patch (*.f64 (fma.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a) #<representation binary64>) () ())) ()) |
#s(alt (* -3/8 (/ (pow c 2) (pow b 3))) (taylor inf c) (#s(alt (fma.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) (patch (fma.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* (pow c 2) (+ (* 3/8 (/ 1 (pow b 3))) (* 1/2 (/ 1 (* a (* b c))))))) (taylor inf c) (#s(alt (fma.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) (patch (fma.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) #<representation binary64>) () ())) ()) |
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#s(alt (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) (taylor inf c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (*.f64 (fma.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (*.f64 (fma.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a))) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) (taylor 0 a) (#s(alt (*.f64 (fma.f64 (/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c) (patch (*.f64 (fma.f64 (/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) 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 (*.f64 a c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c) (patch (*.f64 (fma.f64 (/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c) #<representation binary64>) () ())) ()) |
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#s(alt (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))) (taylor 0 a) (#s(alt (fma.f64 (/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) (patch (fma.f64 (/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) #<representation binary64>) () ())) ()) |
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#s(alt (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))) (taylor 0 a) (#s(alt (fma.f64 (/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) (patch (fma.f64 (/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* a c) (pow b 3)) (taylor 0 a) (#s(alt (/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) (patch (/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) (taylor 0 a) (#s(alt (*.f64 (fma.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a) (patch (*.f64 (fma.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a) #<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 c (*.f64 a b)) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a) (patch (*.f64 (fma.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ c (* a b))) (taylor 0 a) (#s(alt (fma.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) (patch (fma.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) a) (taylor 0 a) (#s(alt (fma.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) (patch (fma.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) a) (taylor 0 a) (#s(alt (fma.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) (patch (fma.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) a) (taylor 0 a) (#s(alt (fma.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) (patch (fma.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ c b)) (taylor 0 a) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (*.f64 (fma.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (*.f64 (fma.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) (taylor 0 a) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (*.f64 (fma.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (*.f64 (fma.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) (taylor 0 a) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (*.f64 (fma.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (*.f64 (fma.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a))) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) (taylor 0 a) (#s(alt #s(approx (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (*.f64 (fma.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a)) (patch #s(approx (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (*.f64 (fma.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a)) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) (taylor 0 a) (#s(alt #s(approx (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (*.f64 (fma.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a)) (patch #s(approx (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (*.f64 (fma.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a)) #<representation binary64>) () ())) ()) |
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#s(alt (* -3/8 (/ (pow c 2) (pow b 3))) (taylor -inf a) (#s(alt (fma.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) (patch (fma.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3)))) (taylor -inf a) (#s(alt (fma.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) (patch (fma.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3)))) (taylor -inf a) (#s(alt (fma.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) (patch (fma.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3)))) (taylor -inf a) (#s(alt (fma.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) (patch (fma.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (taylor -inf a) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (*.f64 (fma.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (*.f64 (fma.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) (taylor -inf a) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (*.f64 (fma.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (*.f64 (fma.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) (taylor -inf a) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (*.f64 (fma.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (*.f64 (fma.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) (taylor -inf a) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (*.f64 (fma.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (*.f64 (fma.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a))) #<representation binary64>) () ())) ()) |
#s(alt (* -3/8 (/ (* a (pow c 2)) (pow b 3))) (taylor -inf a) (#s(alt #s(approx (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (*.f64 (fma.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a)) (patch #s(approx (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (*.f64 (fma.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))))) (taylor -inf a) (#s(alt #s(approx (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (*.f64 (fma.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a)) (patch #s(approx (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (*.f64 (fma.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))))) (taylor -inf a) (#s(alt #s(approx (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (*.f64 (fma.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a)) (patch #s(approx (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (*.f64 (fma.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))))) (taylor -inf a) (#s(alt #s(approx (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (*.f64 (fma.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a)) (patch #s(approx (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (*.f64 (fma.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (taylor -inf a) (#s(alt (/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) a (*.f64 a (*.f64 #s(literal 1/3 binary64) (neg.f64 b)))) (*.f64 a a)) (patch (/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) a (*.f64 a (*.f64 #s(literal 1/3 binary64) (neg.f64 b)))) (*.f64 a a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) (taylor -inf a) (#s(alt (/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) a (*.f64 a (*.f64 #s(literal 1/3 binary64) (neg.f64 b)))) (*.f64 a a)) (patch (/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) a (*.f64 a (*.f64 #s(literal 1/3 binary64) (neg.f64 b)))) (*.f64 a a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) (taylor -inf a) (#s(alt (/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) a (*.f64 a (*.f64 #s(literal 1/3 binary64) (neg.f64 b)))) (*.f64 a a)) (patch (/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) a (*.f64 a (*.f64 #s(literal 1/3 binary64) (neg.f64 b)))) (*.f64 a a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) (taylor -inf a) (#s(alt (/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) a (*.f64 a (*.f64 #s(literal 1/3 binary64) (neg.f64 b)))) (*.f64 a a)) (patch (/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) a (*.f64 a (*.f64 #s(literal 1/3 binary64) (neg.f64 b)))) (*.f64 a a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (* (sqrt (* (pow a 3) c)) (* (sqrt -1) (sqrt 3)))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) a (*.f64 a (*.f64 #s(literal 1/3 binary64) (neg.f64 b)))) (patch (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) a (*.f64 a (*.f64 #s(literal 1/3 binary64) (neg.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) a (*.f64 a (*.f64 #s(literal 1/3 binary64) (neg.f64 b)))) (patch (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) a (*.f64 a (*.f64 #s(literal 1/3 binary64) (neg.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) a (*.f64 a (*.f64 #s(literal 1/3 binary64) (neg.f64 b)))) (patch (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) a (*.f64 a (*.f64 #s(literal 1/3 binary64) (neg.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) a (*.f64 a (*.f64 #s(literal 1/3 binary64) (neg.f64 b)))) (patch (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) a (*.f64 a (*.f64 #s(literal 1/3 binary64) (neg.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) (taylor -inf a) (#s(alt (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (patch (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) (taylor -inf a) (#s(alt (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (patch (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) (taylor -inf a) (#s(alt (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (patch (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/48 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))) (taylor -inf a) (#s(alt (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (patch (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | b | @ | inf | ((* (/ (+ (* (* a c) -3) 0) (neg (+ (sqrt (+ (* (* a c) -3) (* b b))) b))) (/ 1 (* -3 a))) (/ 1 (* -3 a)) (/ (+ (* (* a c) -3) 0) (neg (+ (sqrt (+ (* (* a c) -3) (* b b))) b))) (+ (* (* a c) -3) 0) (+ (* (neg b) (/ 1/3 a)) (* (/ 1/3 a) (sqrt (+ (* (* a c) -3) (* b b))))) (* (+ (* (/ (* a c) (* (* b b) b)) -3/8) (/ -1/2 b)) c) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (/ (* a c) (* (* b b) b)) -3/8) (/ -1/2 b)) (/ (* a c) (* (* b b) b)) (* (+ (* (/ c (* a b)) -1/2) (/ (* (* c c) -3/8) (* (* b b) b))) a) (+ (* (/ c (* a b)) -1/2) (/ (* (* c c) -3/8) (* (* b b) b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (/ (+ (* (* 1/3 (sqrt (+ (* (* a c) -3) (* b b)))) a) (* a (* 1/3 (neg b)))) (* a a)) (+ (* (* 1/3 (sqrt (+ (* (* a c) -3) (* b b)))) a) (* a (* 1/3 (neg b)))) (* 1/3 (neg b)) (* 1/3 (sqrt (+ (* (* a c) -3) (* b b)))) (* (* b b) b) (/ (* (* c c) -3/8) (* (* b b) b)) (* (* c c) -3/8)) |
| 8.0ms | c | @ | -inf | ((* (/ (+ (* (* a c) -3) 0) (neg (+ (sqrt (+ (* (* a c) -3) (* b b))) b))) (/ 1 (* -3 a))) (/ 1 (* -3 a)) (/ (+ (* (* a c) -3) 0) (neg (+ (sqrt (+ (* (* a c) -3) (* b b))) b))) (+ (* (* a c) -3) 0) (+ (* (neg b) (/ 1/3 a)) (* (/ 1/3 a) (sqrt (+ (* (* a c) -3) (* b b))))) (* (+ (* (/ (* a c) (* (* b b) b)) -3/8) (/ -1/2 b)) c) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (/ (* a c) (* (* b b) b)) -3/8) (/ -1/2 b)) (/ (* a c) (* (* b b) b)) (* (+ (* (/ c (* a b)) -1/2) (/ (* (* c c) -3/8) (* (* b b) b))) a) (+ (* (/ c (* a b)) -1/2) (/ (* (* c c) -3/8) (* (* b b) b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (/ (+ (* (* 1/3 (sqrt (+ (* (* a c) -3) (* b b)))) a) (* a (* 1/3 (neg b)))) (* a a)) (+ (* (* 1/3 (sqrt (+ (* (* a c) -3) (* b b)))) a) (* a (* 1/3 (neg b)))) (* 1/3 (neg b)) (* 1/3 (sqrt (+ (* (* a c) -3) (* b b)))) (* (* b b) b) (/ (* (* c c) -3/8) (* (* b b) b)) (* (* c c) -3/8)) |
| 6.0ms | a | @ | inf | ((* (/ (+ (* (* a c) -3) 0) (neg (+ (sqrt (+ (* (* a c) -3) (* b b))) b))) (/ 1 (* -3 a))) (/ 1 (* -3 a)) (/ (+ (* (* a c) -3) 0) (neg (+ (sqrt (+ (* (* a c) -3) (* b b))) b))) (+ (* (* a c) -3) 0) (+ (* (neg b) (/ 1/3 a)) (* (/ 1/3 a) (sqrt (+ (* (* a c) -3) (* b b))))) (* (+ (* (/ (* a c) (* (* b b) b)) -3/8) (/ -1/2 b)) c) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (/ (* a c) (* (* b b) b)) -3/8) (/ -1/2 b)) (/ (* a c) (* (* b b) b)) (* (+ (* (/ c (* a b)) -1/2) (/ (* (* c c) -3/8) (* (* b b) b))) a) (+ (* (/ c (* a b)) -1/2) (/ (* (* c c) -3/8) (* (* b b) b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (/ (+ (* (* 1/3 (sqrt (+ (* (* a c) -3) (* b b)))) a) (* a (* 1/3 (neg b)))) (* a a)) (+ (* (* 1/3 (sqrt (+ (* (* a c) -3) (* b b)))) a) (* a (* 1/3 (neg b)))) (* 1/3 (neg b)) (* 1/3 (sqrt (+ (* (* a c) -3) (* b b)))) (* (* b b) b) (/ (* (* c c) -3/8) (* (* b b) b)) (* (* c c) -3/8)) |
| 6.0ms | c | @ | inf | ((* (/ (+ (* (* a c) -3) 0) (neg (+ (sqrt (+ (* (* a c) -3) (* b b))) b))) (/ 1 (* -3 a))) (/ 1 (* -3 a)) (/ (+ (* (* a c) -3) 0) (neg (+ (sqrt (+ (* (* a c) -3) (* b b))) b))) (+ (* (* a c) -3) 0) (+ (* (neg b) (/ 1/3 a)) (* (/ 1/3 a) (sqrt (+ (* (* a c) -3) (* b b))))) (* (+ (* (/ (* a c) (* (* b b) b)) -3/8) (/ -1/2 b)) c) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (/ (* a c) (* (* b b) b)) -3/8) (/ -1/2 b)) (/ (* a c) (* (* b b) b)) (* (+ (* (/ c (* a b)) -1/2) (/ (* (* c c) -3/8) (* (* b b) b))) a) (+ (* (/ c (* a b)) -1/2) (/ (* (* c c) -3/8) (* (* b b) b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (/ (+ (* (* 1/3 (sqrt (+ (* (* a c) -3) (* b b)))) a) (* a (* 1/3 (neg b)))) (* a a)) (+ (* (* 1/3 (sqrt (+ (* (* a c) -3) (* b b)))) a) (* a (* 1/3 (neg b)))) (* 1/3 (neg b)) (* 1/3 (sqrt (+ (* (* a c) -3) (* b b)))) (* (* b b) b) (/ (* (* c c) -3/8) (* (* b b) b)) (* (* c c) -3/8)) |
| 6.0ms | b | @ | -inf | ((* (/ (+ (* (* a c) -3) 0) (neg (+ (sqrt (+ (* (* a c) -3) (* b b))) b))) (/ 1 (* -3 a))) (/ 1 (* -3 a)) (/ (+ (* (* a c) -3) 0) (neg (+ (sqrt (+ (* (* a c) -3) (* b b))) b))) (+ (* (* a c) -3) 0) (+ (* (neg b) (/ 1/3 a)) (* (/ 1/3 a) (sqrt (+ (* (* a c) -3) (* b b))))) (* (+ (* (/ (* a c) (* (* b b) b)) -3/8) (/ -1/2 b)) c) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (/ (* a c) (* (* b b) b)) -3/8) (/ -1/2 b)) (/ (* a c) (* (* b b) b)) (* (+ (* (/ c (* a b)) -1/2) (/ (* (* c c) -3/8) (* (* b b) b))) a) (+ (* (/ c (* a b)) -1/2) (/ (* (* c c) -3/8) (* (* b b) b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (/ (+ (* (* 1/3 (sqrt (+ (* (* a c) -3) (* b b)))) a) (* a (* 1/3 (neg b)))) (* a a)) (+ (* (* 1/3 (sqrt (+ (* (* a c) -3) (* b b)))) a) (* a (* 1/3 (neg b)))) (* 1/3 (neg b)) (* 1/3 (sqrt (+ (* (* a c) -3) (* b b)))) (* (* b b) b) (/ (* (* c c) -3/8) (* (* b b) b)) (* (* c c) -3/8)) |
| 1× | egg-herbie |
| 8 798× | lower-fma.f64 |
| 8 798× | lower-fma.f32 |
| 6 808× | lower-*.f64 |
| 6 808× | lower-*.f32 |
| 6 016× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1085 | 12215 |
| 1 | 3574 | 11823 |
| 0 | 8213 | 11318 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -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)))) |
(* 3/2 (/ (* a c) b)) |
(* c (+ (* 9/8 (/ (* (pow a 2) c) (pow b 3))) (* 3/2 (/ a b)))) |
(* c (+ (* 3/2 (/ a b)) (* c (+ (* 9/8 (/ (pow a 2) (pow b 3))) (* 27/16 (/ (* (pow a 3) c) (pow b 5))))))) |
(* c (+ (* 3/2 (/ a b)) (* c (+ (* 9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -3 (* c (+ (* -27/32 (/ (pow a 4) (pow b 7))) (* -27/128 (/ (pow a 4) (pow b 7)))))) (* 27/16 (/ (pow a 3) (pow b 5))))))))) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(+ (* -1/3 (/ b a)) (* 1/3 (/ b a))) |
(+ (* -1/2 (/ c b)) (+ (* -1/3 (/ b a)) (* 1/3 (/ b a)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/3 (/ b a)) (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))))) |
(+ (* -1/3 (/ b a)) (+ (* 1/3 (/ b a)) (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))))) |
(* -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)))) |
(* -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)))) |
(/ -1/2 b) |
(- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))) |
(- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))) |
(- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))) |
(/ (* a c) (pow b 3)) |
(/ (* a c) (pow b 3)) |
(/ (* a c) (pow b 3)) |
(/ (* a c) (pow b 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)))) |
(* -1/2 (/ c (* a b))) |
(* c (- (* -3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b))))) |
(* c (- (* -3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b))))) |
(* c (- (* -3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a 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 (+ (* -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)))) |
(* -1/2 (/ 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)))) |
(/ (+ (* -1/3 (* a b)) (* 1/3 (* a b))) (pow a 2)) |
(+ (* -1/2 (/ c b)) (+ (* -1/3 (/ b a)) (* 1/3 (/ b a)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/3 (/ b a)) (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))))) |
(+ (* -1/3 (/ b a)) (+ (* 1/3 (/ b a)) (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))))) |
(+ (* -1/3 (* a b)) (* 1/3 (* a b))) |
(+ (* -1/2 (/ (* (pow a 2) c) b)) (+ (* -1/3 (* a b)) (* 1/3 (* a b)))) |
(+ (* -1/3 (* a b)) (+ (* 1/3 (* a b)) (* c (+ (* -1/2 (/ (pow a 2) b)) (* -3/8 (/ (* (pow a 3) c) (pow b 3))))))) |
(+ (* -1/3 (* a b)) (+ (* 1/3 (* a b)) (* c (+ (* -1/2 (/ (pow a 2) b)) (* c (+ (* -9/16 (/ (* (pow a 4) c) (pow b 5))) (* -3/8 (/ (pow a 3) (pow b 3))))))))) |
(* 1/3 b) |
(+ (* -1/2 (/ (* a c) b)) (* 1/3 b)) |
(+ (* 1/3 b) (* c (+ (* -1/2 (/ a b)) (* -3/8 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ (* 1/3 b) (* c (+ (* -1/2 (/ a b)) (* c (+ (* -9/16 (/ (* (pow a 3) c) (pow b 5))) (* -3/8 (/ (pow a 2) (pow b 3)))))))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (pow c 2)) |
(* -3/8 (pow c 2)) |
(* -3/8 (pow c 2)) |
(* -3/8 (pow c 2)) |
(* -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)))))) |
(* 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)) (/ 1 (sqrt -3))))))) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* 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))))))) |
(* -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))))) |
(* 1/3 (* (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))))))) |
(* -3/8 (/ (* a c) (pow b 3))) |
(* c (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) |
(* c (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) |
(* c (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) |
(/ (* a c) (pow b 3)) |
(/ (* a c) (pow b 3)) |
(/ (* a c) (pow b 3)) |
(/ (* a c) (pow b 3)) |
(* -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 (/ (pow c 2) (pow b 3))) |
(* -1 (* (pow c 2) (+ (* 3/8 (/ 1 (pow b 3))) (* 1/2 (/ 1 (* a (* b c))))))) |
(* -1 (* (pow c 2) (+ (* 3/8 (/ 1 (pow b 3))) (* 1/2 (/ 1 (* a (* b c))))))) |
(* -1 (* (pow c 2) (+ (* 3/8 (/ 1 (pow b 3))) (* 1/2 (/ 1 (* a (* b c))))))) |
(* 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))))))) |
(* -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))))) |
(* 1/3 (* (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 (* (pow a 3) c)) (sqrt -3))) |
(* c (+ (* -1/3 (/ (* a b) c)) (* 1/3 (* (sqrt (/ (pow a 3) c)) (sqrt -3))))) |
(* c (+ (* -1/3 (/ (* a b) c)) (+ (* 1/6 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ (pow a 3) c)) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ (* a b) c)) (+ (* -1/24 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ (pow a 3) c)) (sqrt -3))))))) |
(* 1/3 (* (sqrt (* a c)) (sqrt -3))) |
(* c (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3))))) |
(* 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)))))) |
(* c (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/48 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3))))))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (pow c 2)) |
(* -3/8 (pow c 2)) |
(* -3/8 (pow c 2)) |
(* -3/8 (pow c 2)) |
(* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))) |
(+ (* -1 (/ b (* a (pow (sqrt 3) 2)))) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) |
(+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) (* -1 (/ (* b c) (* a (pow (sqrt 3) 2))))) c)) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow b 3) c) (* (pow a 2) (pow (sqrt 3) 4))))) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) c)) (* -1 (/ (* b c) (* a (pow (sqrt 3) 2))))) c)) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) |
(* -3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) |
(+ (* -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 (/ (+ (* -3 (/ (* b c) (pow (sqrt 3) 2))) (* -1 (/ (+ (* -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)) (* 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 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -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)) (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))))) |
(* -1/3 (* (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 c) (pow b 3))) |
(* -1 (* c (+ (* 3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))) |
(* -1 (* c (+ (* 3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))) |
(* -1 (* c (+ (* 3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))) |
(/ (* a c) (pow b 3)) |
(/ (* a c) (pow b 3)) |
(/ (* a c) (pow b 3)) |
(/ (* a c) (pow b 3)) |
(* -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 (/ (pow c 2) (pow b 3))) |
(* -1 (* (pow c 2) (+ (* 3/8 (/ 1 (pow b 3))) (* 1/2 (/ 1 (* a (* b c))))))) |
(* -1 (* (pow c 2) (+ (* 3/8 (/ 1 (pow b 3))) (* 1/2 (/ 1 (* a (* b c))))))) |
(* -1 (* (pow c 2) (+ (* 3/8 (/ 1 (pow b 3))) (* 1/2 (/ 1 (* a (* b c))))))) |
(* -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)) (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))))) |
(* -1/3 (* (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 (* (pow a 3) c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ (* a b) c))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (* a b)) (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (* a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (* a b))) c)) (* 1/3 (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
(* -1 (* c (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/48 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (pow c 2)) |
(* -3/8 (pow c 2)) |
(* -3/8 (pow c 2)) |
(* -3/8 (pow c 2)) |
(* -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)))))) |
(* 3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) |
(+ (* -3 (/ b (pow (sqrt -3) 2))) (* 3 (* (sqrt (* a c)) (/ 1 (sqrt -3))))) |
(+ (* 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 (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -3) 3)))))) (* 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 (pow (sqrt -3) 2)))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(* -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)) |
(* 1/3 (* (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))))) |
(* -3/8 (/ (* a c) (pow b 3))) |
(/ (+ (* -1/2 (pow b 2)) (* -3/8 (* a c))) (pow b 3)) |
(/ (+ (* -1/2 (pow b 2)) (* -3/8 (* a c))) (pow b 3)) |
(/ (+ (* -1/2 (pow b 2)) (* -3/8 (* a c))) (pow b 3)) |
(/ (* a c) (pow b 3)) |
(/ (* a c) (pow b 3)) |
(/ (* a c) (pow b 3)) |
(/ (* a c) (pow b 3)) |
(* -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)) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/ (+ (* -1/2 (/ (* (pow b 2) c) a)) (* -3/8 (pow c 2))) (pow b 3)) |
(/ (+ (* -1/2 (/ (* (pow b 2) c) a)) (* -3/8 (pow c 2))) (pow b 3)) |
(/ (+ (* -1/2 (/ (* (pow b 2) c) a)) (* -3/8 (pow c 2))) (pow b 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))))) |
(* -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)) |
(* 1/3 (* (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))))) |
(* 1/3 (* (sqrt (* (pow a 3) c)) (sqrt -3))) |
(+ (* -1/3 (* a b)) (* 1/3 (* (sqrt (* (pow a 3) c)) (sqrt -3)))) |
(+ (* 1/3 (* (sqrt (* (pow a 3) c)) (sqrt -3))) (* b (+ (* -1/3 a) (* 1/6 (* (sqrt (/ a c)) (/ b (sqrt -3))))))) |
(+ (* 1/3 (* (sqrt (* (pow a 3) c)) (sqrt -3))) (* b (+ (* -1/3 a) (* b (+ (* -1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ a c)) (/ 1 (sqrt -3))))))))) |
(* -1/3 b) |
(* -1/3 b) |
(* -1/3 b) |
(* -1/3 b) |
(* 1/3 (* (sqrt (* a c)) (sqrt -3))) |
(+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (* a c)) (sqrt -3)))) |
(+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* (pow b 2) (+ (* -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 (* (sqrt (* a c)) (sqrt -3))) (* (pow b 2) (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/48 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5))))))))) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -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) |
(* 3/2 (/ (* a c) b)) |
(/ (+ (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 3/2 (* a c))) b) |
(/ (+ (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* 3/2 (* a c)) (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))))) b) |
(/ (+ (* -3 (/ (+ (* -27/32 (* (pow a 4) (pow c 4))) (* -27/128 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* 3/2 (* a c)) (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4)))))) b) |
(* -1/2 (/ 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) |
(* -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)) |
(/ (+ (* -1/2 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) |
(/ -1/2 b) |
(/ (- (* -3/8 (/ (* a c) (pow b 2))) 1/2) b) |
(/ (- (* -3/8 (/ (* a c) (pow b 2))) 1/2) b) |
(/ (- (* -3/8 (/ (* a c) (pow b 2))) 1/2) b) |
(/ (* a c) (pow b 3)) |
(/ (* a c) (pow b 3)) |
(/ (* a c) (pow b 3)) |
(/ (* a c) (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 (* a b))) |
(/ (+ (* -1/2 (/ c a)) (* -3/8 (/ (pow c 2) (pow b 2)))) b) |
(/ (+ (* -1/2 (/ c a)) (* -3/8 (/ (pow c 2) (pow b 2)))) b) |
(/ (+ (* -1/2 (/ c a)) (* -3/8 (/ (pow c 2) (pow b 2)))) b) |
(* -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) |
(* -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) |
(/ (* b (+ (* -1/3 a) (* 1/3 a))) (pow a 2)) |
(* b (+ (* -1/2 (/ c (pow b 2))) (+ (/ -1/3 a) (/ 1/3 a)))) |
(* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (+ (/ -1/3 a) (/ 1/3 a))))) |
(* 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))) (+ (/ -1/3 a) (/ 1/3 a)))))) |
(* b (+ (* -1/3 a) (* 1/3 a))) |
(* b (+ (* -1/2 (/ (* (pow a 2) c) (pow b 2))) (+ (* -1/3 a) (* 1/3 a)))) |
(* b (+ (* -1/2 (/ (* (pow a 2) c) (pow b 2))) (+ (* -3/8 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (+ (* -1/3 a) (* 1/3 a))))) |
(* b (+ (* -9/16 (/ (* (pow a 4) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ (* (pow a 2) c) (pow b 2))) (+ (* -3/8 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (+ (* -1/3 a) (* 1/3 a)))))) |
(* -1/3 b) |
(* -1/3 b) |
(* -1/3 b) |
(* -1/3 b) |
(* 1/3 b) |
(* b (+ 1/3 (* -1/2 (/ (* a c) (pow b 2))))) |
(* b (+ 1/3 (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1/3 (+ (* -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))))))) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (- (+ (* -1 (/ (+ (* -3/8 (* a (pow c 2))) (* 3/4 (* a (pow c 2)))) (pow b 4))) (* 2/3 (/ 1 a))) (* 1/2 (/ c (pow b 2)))))) |
(* -1 (* b (- (+ (* -1 (/ (+ (* -3/4 (* a (* c (+ (* -3/8 (* a (pow c 2))) (* 3/4 (* a (pow c 2))))))) (+ (* -9/16 (* (pow a 2) (pow c 3))) (* 2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))))) (pow b 6))) (* 2/3 (/ 1 a))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (+ (* 1/2 (/ c (pow b 2))) (* 3/4 (/ (* a (pow c 2)) (pow b 4)))))))) |
(* 2 b) |
(* -1 (* b (- (* 3/2 (/ (* a c) (pow b 2))) 2))) |
(* -1 (* b (- (+ (* 3/2 (/ (* a c) (pow b 2))) (* 3 (/ (+ (* -3/8 (* (pow a 2) (pow c 2))) (* 3/4 (* (pow a 2) (pow c 2)))) (pow b 4)))) 2))) |
(* -1 (* b (- (+ (* 3/2 (/ (* a c) (pow b 2))) (+ (* 3 (/ (+ (* -3/4 (* a (* c (+ (* -3/8 (* (pow a 2) (pow c 2))) (* 3/4 (* (pow a 2) (pow c 2))))))) (+ (* -9/16 (* (pow a 3) (pow c 3))) (* 2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a c))))) (pow b 6))) (* 3 (/ (+ (* -3/8 (* (pow a 2) (pow c 2))) (* 3/4 (* (pow a 2) (pow c 2)))) (pow b 4))))) 2))) |
(* -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 (/ (+ (* 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)) |
(* -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 b) |
(* -1 (/ (+ 1/2 (* 3/8 (/ (* a c) (pow b 2)))) b)) |
(* -1 (/ (+ 1/2 (* 3/8 (/ (* a c) (pow b 2)))) b)) |
(* -1 (/ (+ 1/2 (* 3/8 (/ (* a c) (pow b 2)))) b)) |
(/ (* a c) (pow b 3)) |
(/ (* a c) (pow b 3)) |
(/ (* a c) (pow b 3)) |
(/ (* a c) (pow b 3)) |
(* -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 (* a b))) |
(* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a))) b)) |
(* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a))) b)) |
(* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a))) 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 (/ (+ (* 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)) |
(* -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))))))) |
(* -2/3 (* a b)) |
(* -1 (* b (+ (* -1/2 (/ (* (pow a 2) c) (pow b 2))) (* 2/3 a)))) |
(* -1 (* b (+ (* -1/2 (/ (* (pow a 2) c) (pow b 2))) (+ (* -3/8 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 2/3 a))))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 4) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ (* (pow a 2) c) (pow b 2))) (+ (* -3/8 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 2/3 a)))))) |
(* -1/3 b) |
(* -1/3 b) |
(* -1/3 b) |
(* -1/3 b) |
(* -1/3 b) |
(* -1 (* b (+ 1/3 (* -1/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1/3 (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1/3 (+ (* -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)))))))) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 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 (+ (* -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)))))))))) |
(/ -1/3 a) |
(/ -1/3 a) |
(/ -1/3 a) |
(/ -1/3 a) |
(* 3/2 (/ (* a c) b)) |
(* a (+ (* 9/8 (/ (* a (pow c 2)) (pow b 3))) (* 3/2 (/ c b)))) |
(* a (+ (* 3/2 (/ c b)) (* a (+ (* 9/8 (/ (pow c 2) (pow b 3))) (* 27/16 (/ (* a (pow c 3)) (pow b 5))))))) |
(* a (+ (* 3/2 (/ c b)) (* a (+ (* 9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -3 (* a (+ (* -27/32 (/ (pow c 4) (pow b 7))) (* -27/128 (/ (pow c 4) (pow b 7)))))) (* 27/16 (/ (pow c 3) (pow b 5))))))))) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(/ (+ (* -1/3 b) (* 1/3 b)) a) |
(/ (+ (* -1/2 (/ (* a c) b)) (+ (* -1/3 b) (* 1/3 b))) a) |
(/ (+ (* -1/3 b) (+ (* 1/3 b) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))))) a) |
(/ (+ (* -1/3 b) (+ (* 1/3 b) (* 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)) |
(+ (* -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)))) |
(* -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))))))) |
(/ -1/2 b) |
(- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))) |
(- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))) |
(- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))) |
(/ (* a c) (pow b 3)) |
(/ (* a c) (pow b 3)) |
(/ (* a c) (pow b 3)) |
(/ (* a c) (pow b 3)) |
(* -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)))) |
(* -1/2 (/ c (* a b))) |
(/ (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) a) |
(/ (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) a) |
(/ (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) 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))))))) |
(* -1/2 (/ 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)))) |
(/ (+ (* -1/3 b) (* 1/3 b)) a) |
(/ (+ (* -1/2 (/ (* a c) b)) (+ (* -1/3 b) (* 1/3 b))) a) |
(/ (+ (* -1/3 b) (+ (* 1/3 b) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))))) a) |
(/ (+ (* -1/3 b) (+ (* 1/3 b) (* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))))) a) |
(* a (+ (* -1/3 b) (* 1/3 b))) |
(* a (+ (* -1/2 (/ (* a c) b)) (+ (* -1/3 b) (* 1/3 b)))) |
(* a (+ (* -1/3 b) (+ (* 1/3 b) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))))) |
(* a (+ (* -1/3 b) (+ (* 1/3 b) (* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))))))) |
(* 1/3 b) |
(+ (* -1/2 (/ (* a c) b)) (* 1/3 b)) |
(+ (* 1/3 b) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ (* 1/3 b) (* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))))) |
(* -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) |
(/ -1/3 a) |
(/ -1/3 a) |
(/ -1/3 a) |
(/ -1/3 a) |
(* 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)) (/ 1 (sqrt -3))))))) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* 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)))))) |
(* -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))))) |
(* 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)))))) |
(* -3/8 (/ (* a c) (pow b 3))) |
(* a (- (* -3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b))))) |
(* a (- (* -3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b))))) |
(* a (- (* -3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b))))) |
(/ (* a c) (pow b 3)) |
(/ (* a c) (pow b 3)) |
(/ (* a c) (pow b 3)) |
(/ (* a c) (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 (/ (pow c 2) (pow b 3))) |
(+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3)))) |
(+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3)))) |
(+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3)))) |
(* 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)))))) |
(* -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))))) |
(* 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 (* (pow a 3) c)) (sqrt -3))) |
(* (pow a 2) (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(* (pow a 2) (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* (pow a 2) (+ (* -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 -3))) |
(* a (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(* 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)))))) |
(* a (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/48 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))) |
(* (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)) |
(/ -1/3 a) |
(/ -1/3 a) |
(/ -1/3 a) |
(/ -1/3 a) |
(* -3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) |
(+ (* -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 (/ (+ (* -3 (/ (* a b) (pow (sqrt 3) 2))) (* -1 (/ (+ (* -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)) (* 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 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -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))))) |
(* -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 -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))))) |
(* -3/8 (/ (* a c) (pow b 3))) |
(* -1 (* a (+ (* 3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b)))))) |
(* -1 (* a (+ (* 3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b)))))) |
(* -1 (* a (+ (* 3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b)))))) |
(/ (* a c) (pow b 3)) |
(/ (* a c) (pow b 3)) |
(/ (* a c) (pow b 3)) |
(/ (* a c) (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 (/ (pow c 2) (pow b 3))) |
(+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3)))) |
(+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3)))) |
(+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 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))))) |
(* -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 -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))))) |
(* -1/3 (* (sqrt (* (pow a 3) c)) (* (sqrt -1) (sqrt 3)))) |
(* (pow a 2) (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))) |
(* (pow a 2) (+ (* -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)))))) |
(* (pow a 2) (+ (* -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)))))) |
(* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* a (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
(* -1 (* a (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/48 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))) |
| Outputs |
|---|
(* -1/2 (/ c b)) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 #s(literal -1/2 binary64) b)) c) |
(* 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 (fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 a a) a) (pow.f64 b #s(literal 7 binary64))) #s(literal -135/128 binary64)) c (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c) |
(* 3/2 (/ (* a c) b)) |
(*.f64 (*.f64 a (/.f64 c b)) #s(literal 3/2 binary64)) |
(* c (+ (* 9/8 (/ (* (pow a 2) c) (pow b 3))) (* 3/2 (/ a b)))) |
(*.f64 (fma.f64 (/.f64 a b) #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal 9/8 binary64) (*.f64 (*.f64 a a) c)) (*.f64 (*.f64 b b) b))) c) |
(* c (+ (* 3/2 (/ a b)) (* c (+ (* 9/8 (/ (pow a 2) (pow b 3))) (* 27/16 (/ (* (pow a 3) c) (pow b 5))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal 27/16 binary64) (/.f64 (*.f64 #s(literal 9/8 binary64) (*.f64 a a)) (*.f64 (*.f64 b b) b))) c (*.f64 (/.f64 a b) #s(literal 3/2 binary64))) c) |
(* c (+ (* 3/2 (/ a b)) (* c (+ (* 9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -3 (* c (+ (* -27/32 (/ (pow a 4) (pow b 7))) (* -27/128 (/ (pow a 4) (pow b 7)))))) (* 27/16 (/ (pow a 3) (pow b 5))))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 7 binary64))) #s(literal -135/128 binary64)) (/.f64 (*.f64 #s(literal 27/16 binary64) (*.f64 (*.f64 a a) a)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 #s(literal 9/8 binary64) (*.f64 a a)) (*.f64 (*.f64 b b) b))) c (*.f64 (/.f64 a b) #s(literal 3/2 binary64))) c) |
(* -3 (* a c)) |
(*.f64 #s(literal -3 binary64) (*.f64 a c)) |
(* -3 (* a c)) |
(*.f64 #s(literal -3 binary64) (*.f64 a c)) |
(* -3 (* a c)) |
(*.f64 #s(literal -3 binary64) (*.f64 a c)) |
(* -3 (* a c)) |
(*.f64 #s(literal -3 binary64) (*.f64 a c)) |
(+ (* -1/3 (/ b a)) (* 1/3 (/ b a))) |
#s(literal 0 binary64) |
(+ (* -1/2 (/ c b)) (+ (* -1/3 (/ b a)) (* 1/3 (/ b a)))) |
(fma.f64 (/.f64 c b) #s(literal -1/2 binary64) #s(literal 0 binary64)) |
(+ (* -1/3 (/ b a)) (+ (* 1/3 (/ b a)) (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c #s(literal 0 binary64)) |
(+ (* -1/3 (/ b a)) (+ (* 1/3 (/ b a)) (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 #s(literal -1/2 binary64) b)) c #s(literal 0 binary64)) |
(* -1/2 (/ c b)) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c) |
(* -1/2 (/ c b)) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 #s(literal -1/2 binary64) b)) c) |
(* 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 (fma.f64 (fma.f64 (fma.f64 (*.f64 c (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c) |
(/ -1/2 b) |
(/.f64 #s(literal -1/2 binary64) b) |
(- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))) |
(fma.f64 (/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) |
(- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))) |
(fma.f64 (/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) |
(- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))) |
(fma.f64 (/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) |
(/ (* a c) (pow b 3)) |
(/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) |
(/ (* a c) (pow b 3)) |
(/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) |
(/ (* a c) (pow b 3)) |
(/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) |
(/ (* a c) (pow b 3)) |
(/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) |
(* -1/2 (/ c b)) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c) |
(* -1/2 (/ c (* a b))) |
(*.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64)) |
(* c (- (* -3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b))))) |
(*.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 a b))) c) |
(* c (- (* -3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b))))) |
(*.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 a b))) c) |
(* c (- (* -3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b))))) |
(*.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 a b))) c) |
(* -1/2 (/ c b)) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 #s(literal -1/2 binary64) b)) c) |
(* 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 (fma.f64 (fma.f64 (fma.f64 (*.f64 c (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a b))) #s(literal -1/6 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c) |
(* -1/2 (/ c b)) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c) |
(/ (+ (* -1/3 (* a b)) (* 1/3 (* a b))) (pow a 2)) |
(/.f64 #s(literal 0 binary64) (*.f64 a a)) |
(+ (* -1/2 (/ c b)) (+ (* -1/3 (/ b a)) (* 1/3 (/ b a)))) |
(fma.f64 (/.f64 c b) #s(literal -1/2 binary64) #s(literal 0 binary64)) |
(+ (* -1/3 (/ b a)) (+ (* 1/3 (/ b a)) (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c #s(literal 0 binary64)) |
(+ (* -1/3 (/ b a)) (+ (* 1/3 (/ b a)) (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 #s(literal -1/2 binary64) b)) c #s(literal 0 binary64)) |
(+ (* -1/3 (* a b)) (* 1/3 (* a b))) |
#s(literal 0 binary64) |
(+ (* -1/2 (/ (* (pow a 2) c) b)) (+ (* -1/3 (* a b)) (* 1/3 (* a b)))) |
(fma.f64 (/.f64 (*.f64 (*.f64 a a) c) b) #s(literal -1/2 binary64) #s(literal 0 binary64)) |
(+ (* -1/3 (* a b)) (+ (* 1/3 (* a b)) (* c (+ (* -1/2 (/ (pow a 2) b)) (* -3/8 (/ (* (pow a 3) c) (pow b 3))))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) a) (/.f64 c (*.f64 (*.f64 b b) b))) #s(literal -3/8 binary64) (*.f64 (/.f64 (*.f64 a a) b) #s(literal -1/2 binary64))) c #s(literal 0 binary64)) |
(+ (* -1/3 (* a b)) (+ (* 1/3 (* a b)) (* c (+ (* -1/2 (/ (pow a 2) b)) (* c (+ (* -9/16 (/ (* (pow a 4) c) (pow b 5))) (* -3/8 (/ (pow a 3) (pow b 3))))))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -1/2 binary64))) c #s(literal 0 binary64)) |
(* 1/3 b) |
(*.f64 #s(literal 1/3 binary64) b) |
(+ (* -1/2 (/ (* a c) b)) (* 1/3 b)) |
(fma.f64 #s(literal 1/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64))) |
(+ (* 1/3 b) (* c (+ (* -1/2 (/ a b)) (* -3/8 (/ (* (pow a 2) c) (pow b 3)))))) |
(fma.f64 (fma.f64 (/.f64 a b) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 a a) c)) (*.f64 (*.f64 b b) b))) c (*.f64 #s(literal 1/3 binary64) b)) |
(+ (* 1/3 b) (* c (+ (* -1/2 (/ a b)) (* c (+ (* -9/16 (/ (* (pow a 3) c) (pow b 5))) (* -3/8 (/ (pow a 2) (pow b 3)))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a a)) (*.f64 (*.f64 b b) b))) c (*.f64 (/.f64 a b) #s(literal -1/2 binary64))) c (*.f64 #s(literal 1/3 binary64) b)) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b)) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b)) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b)) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b)) |
(* -3/8 (pow c 2)) |
(*.f64 (*.f64 c c) #s(literal -3/8 binary64)) |
(* -3/8 (pow c 2)) |
(*.f64 (*.f64 c c) #s(literal -3/8 binary64)) |
(* -3/8 (pow c 2)) |
(*.f64 (*.f64 c c) #s(literal -3/8 binary64)) |
(* -3/8 (pow c 2)) |
(*.f64 (*.f64 c c) #s(literal -3/8 binary64)) |
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) |
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(*.f64 (neg.f64 a) (fma.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c (*.f64 a b)) #s(literal 1/2 binary64)))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(*.f64 #s(literal -1/3 binary64) (fma.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (/.f64 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))))) |
(-.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (*.f64 (*.f64 b b) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (*.f64 #s(literal 1/3 binary64) b)) 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))))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal 1/3 binary64) b (/.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (*.f64 b b) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))))) (neg.f64 a))) (neg.f64 a))) |
(* -3/8 (/ (* a c) (pow b 3))) |
(/.f64 (*.f64 (*.f64 a c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b)) |
(* -1 (* a (+ (* 3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b)))))) |
(*.f64 (neg.f64 a) (fma.f64 #s(literal 3/8 binary64) (/.f64 c (*.f64 (*.f64 b b) b)) (/.f64 #s(literal 1/2 binary64) (*.f64 a b)))) |
(* -1 (* a (+ (* 3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b)))))) |
(*.f64 (neg.f64 a) (fma.f64 #s(literal 3/8 binary64) (/.f64 c (*.f64 (*.f64 b b) b)) (/.f64 #s(literal 1/2 binary64) (*.f64 a b)))) |
(* -1 (* a (+ (* 3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b)))))) |
(*.f64 (neg.f64 a) (fma.f64 #s(literal 3/8 binary64) (/.f64 c (*.f64 (*.f64 b b) b)) (/.f64 #s(literal 1/2 binary64) (*.f64 a b)))) |
(/ (* a c) (pow b 3)) |
(/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) |
(/ (* a c) (pow b 3)) |
(/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) |
(/ (* a c) (pow b 3)) |
(/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) |
(/ (* a c) (pow b 3)) |
(/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(/.f64 (*.f64 (*.f64 (*.f64 c c) a) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b)) |
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))))) |
(*.f64 (neg.f64 a) (fma.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c (*.f64 a b)) #s(literal 1/2 binary64)))) |
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))))) |
(*.f64 (neg.f64 a) (fma.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c (*.f64 a b)) #s(literal 1/2 binary64)))) |
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))))) |
(*.f64 (neg.f64 a) (fma.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c (*.f64 a b)) #s(literal 1/2 binary64)))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b)) |
(+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3)))) |
(fma.f64 (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (*.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64))) |
(+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3)))) |
(fma.f64 (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (*.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64))) |
(+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3)))) |
(fma.f64 (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (*.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(*.f64 #s(literal -1/3 binary64) (fma.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (/.f64 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))))) |
(-.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (*.f64 (*.f64 b b) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (*.f64 #s(literal 1/3 binary64) b)) 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))))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal 1/3 binary64) b (/.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (*.f64 b b) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))))) (neg.f64 a))) (neg.f64 a))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(/.f64 (*.f64 (*.f64 (*.f64 c c) a) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b)) |
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))))) |
(*.f64 (neg.f64 a) (fma.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c (*.f64 a b)) #s(literal 1/2 binary64)))) |
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))))) |
(*.f64 (neg.f64 a) (fma.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c (*.f64 a b)) #s(literal 1/2 binary64)))) |
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))))) |
(*.f64 (neg.f64 a) (fma.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c (*.f64 a b)) #s(literal 1/2 binary64)))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(*.f64 #s(literal -1/3 binary64) (fma.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (/.f64 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))))) |
(-.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (*.f64 (*.f64 b b) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (*.f64 #s(literal 1/3 binary64) b)) 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))))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal 1/3 binary64) b (/.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (*.f64 b b) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))))) (neg.f64 a))) (neg.f64 a))) |
(* -1/3 (* (sqrt (* (pow a 3) c)) (* (sqrt -1) (sqrt 3)))) |
(*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (*.f64 (*.f64 (*.f64 a a) a) c))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))) |
(* (pow a 2) (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))) |
(*.f64 (*.f64 #s(literal -1/3 binary64) (fma.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (/.f64 b a))) (*.f64 a a)) |
(* (pow a 2) (+ (* -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 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (*.f64 (*.f64 b b) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (*.f64 #s(literal 1/3 binary64) b)) a)) (*.f64 a a)) |
(* (pow a 2) (+ (* -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 (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal 1/3 binary64) b (/.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 c c) c) a)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (*.f64 b b) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))))) (neg.f64 a))) (neg.f64 a))) (*.f64 a a)) |
(* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (*.f64 a c))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))) |
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (*.f64 (*.f64 b b) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))))))) |
(* -1 (* a (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 (*.f64 c c) c)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) #s(literal -1/24 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (*.f64 (*.f64 b b) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))))))) |
(* -1 (* a (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/48 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 7 binary64)) (pow.f64 c #s(literal 5 binary64))))) (/.f64 (*.f64 (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)))) #s(literal 1/48 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 (*.f64 c c) c)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) #s(literal -1/24 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (*.f64 (*.f64 b b) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))))))))) |
| 4 302× | lower-fma.f32 |
| 4 292× | lower-fma.f64 |
| 4 254× | lower-*.f32 |
| 4 226× | lower-*.f64 |
| 3 974× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 67 | 360 |
| 0 | 102 | 333 |
| 1 | 405 | 311 |
| 2 | 3580 | 303 |
| 0 | 8922 | 300 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) #s(literal 0 binary64)) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a)) |
(/.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) #s(literal 0 binary64)) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))) |
(fma.f64 (*.f64 a c) #s(literal -3 binary64) #s(literal 0 binary64)) |
#s(approx (+ (* (neg b) (/ 1/3 a)) (* (/ 1/3 a) (sqrt (+ (* (* a c) -3) (* b b))))) #s(literal 0 binary64)) |
(*.f64 (fma.f64 (/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c)) |
(fma.f64 (/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) |
(/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) |
(*.f64 (fma.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a) |
(fma.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (*.f64 (fma.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a))) |
#s(approx (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (*.f64 (fma.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a)) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) a (*.f64 a (*.f64 #s(literal 1/3 binary64) (neg.f64 b)))) (*.f64 a a)) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) a (*.f64 a (*.f64 #s(literal 1/3 binary64) (neg.f64 b)))) |
(*.f64 #s(literal 1/3 binary64) (neg.f64 b)) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) |
(*.f64 (*.f64 b b) b) |
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b)) |
(*.f64 (*.f64 c c) #s(literal -3/8 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) c) a (*.f64 b b))) b))) |
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(fma.f64 (*.f64 #s(literal -3 binary64) a) c #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) a) c) #s(literal 0 binary64)) |
(fma.f64 #s(literal -3 binary64) (*.f64 (*.f64 c a) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 #s(literal -3 binary64) (*.f64 (neg.f64 c) a) #s(literal 0 binary64)) |
(fma.f64 #s(literal -3 binary64) (*.f64 c a) #s(literal 0 binary64)) |
(fma.f64 (*.f64 c a) #s(literal 3 binary64) #s(literal 0 binary64)) |
(fma.f64 (*.f64 c a) #s(literal -3 binary64) #s(literal 0 binary64)) |
(fma.f64 c (*.f64 #s(literal 3 binary64) a) #s(literal 0 binary64)) |
(fma.f64 c (*.f64 #s(literal -3 binary64) a) #s(literal 0 binary64)) |
(fma.f64 a (*.f64 (*.f64 #s(literal -3 binary64) c) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 a (*.f64 #s(literal 3 binary64) c) #s(literal 0 binary64)) |
(fma.f64 a (neg.f64 (*.f64 #s(literal -3 binary64) c)) #s(literal 0 binary64)) |
(fma.f64 a (*.f64 #s(literal -3 binary64) c) #s(literal 0 binary64)) |
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(-.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) #s(literal 0 binary64)) |
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) |
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(*.f64 b (*.f64 (neg.f64 b) b)) |
(*.f64 b (*.f64 b b)) |
(pow.f64 (exp.f64 (log.f64 (neg.f64 b))) #s(literal 3 binary64)) |
(pow.f64 (exp.f64 (log.f64 b)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (neg.f64 b) #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 b #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 b b) #s(literal 3/2 binary64)) |
(pow.f64 (neg.f64 b) #s(literal 3 binary64)) |
(pow.f64 b #s(literal 3 binary64)) |
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) (*.f64 (*.f64 b b) b)) (pow.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b))) #s(literal 3 binary64))) |
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) (pow.f64 (+.f64 #s(literal 0 binary64) b) #s(literal 3 binary64))) |
(neg.f64 (*.f64 (*.f64 b b) b)) |
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 b b) b)) |
(exp.f64 (*.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)) #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 b)) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (log.f64 b) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 b b) #s(literal -3/8 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 b (*.f64 c c)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 b (*.f64 c c)) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 b b) #s(literal -3/8 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 c c) b) (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) |
(*.f64 (/.f64 #s(literal -3/8 binary64) (*.f64 b b)) (/.f64 (*.f64 c c) b)) |
(*.f64 (/.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 b b) b)) (*.f64 c c)) |
(*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 (/.f64 c (*.f64 b b)) c)) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 #s(literal -3/8 binary64) (*.f64 (/.f64 c (*.f64 b b)) c))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (pow.f64 (/.f64 b (*.f64 (*.f64 c c) #s(literal -3/8 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) b)) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 3/8 binary64) (*.f64 c c))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 c c) #s(literal -3/8 binary64))) |
(*.f64 (/.f64 c b) (pow.f64 (/.f64 (*.f64 b b) (*.f64 #s(literal -3/8 binary64) c)) #s(literal -1 binary64))) |
(*.f64 (/.f64 c b) (/.f64 (*.f64 #s(literal -3/8 binary64) c) (*.f64 b b))) |
(*.f64 (/.f64 #s(literal -3/8 binary64) b) (*.f64 (/.f64 c (*.f64 b b)) c)) |
(*.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 c c)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) b))) |
(*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) (/.f64 #s(literal -3/8 binary64) b)) |
(*.f64 (/.f64 c (*.f64 b b)) (pow.f64 (/.f64 b (*.f64 #s(literal -3/8 binary64) c)) #s(literal -1 binary64))) |
(*.f64 (/.f64 c (*.f64 b b)) (*.f64 c (/.f64 #s(literal -3/8 binary64) b))) |
(*.f64 (/.f64 c (*.f64 b b)) (/.f64 (*.f64 #s(literal -3/8 binary64) c) b)) |
(*.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) b))) |
(*.f64 (*.f64 c c) (/.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 b b) b))) |
(*.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b))) |
(*.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 c c) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) b)))) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 b b) b)) (*.f64 c c))) |
(*.f64 c (/.f64 (*.f64 #s(literal -3/8 binary64) c) (*.f64 (*.f64 b b) b))) |
(*.f64 c (*.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -3/8 binary64) b))) |
(*.f64 c (*.f64 (*.f64 #s(literal -3/8 binary64) c) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) b)))) |
(*.f64 c (*.f64 c (/.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 b b) b)))) |
(pow.f64 (/.f64 b (*.f64 #s(literal -3/8 binary64) (*.f64 (/.f64 c (*.f64 b b)) c))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (*.f64 b b) (/.f64 b (*.f64 (*.f64 c c) #s(literal -3/8 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (*.f64 b b) (/.f64 b (*.f64 (*.f64 c c) #s(literal -3/8 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (*.f64 c c) (/.f64 #s(literal -3/8 binary64) b))) (*.f64 (neg.f64 b) b)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64))) (neg.f64 b)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 (/.f64 c (*.f64 b b)) c)))) (neg.f64 (neg.f64 b))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 c c)))) (*.f64 (*.f64 b b) b)) |
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b)) (*.f64 (neg.f64 b) b)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 b b) b)) |
(/.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (*.f64 b b)) |
(/.f64 (*.f64 (*.f64 c c) (/.f64 #s(literal -3/8 binary64) b)) (*.f64 b b)) |
(/.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) b) |
(/.f64 (neg.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 (/.f64 c (*.f64 b b)) c))) (neg.f64 b)) |
(/.f64 (neg.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 c c))) (*.f64 (*.f64 b b) b)) |
(/.f64 (*.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 b b) b)) |
(/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 (/.f64 c (*.f64 b b)) c)) b) |
(/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b (*.f64 #s(literal -3/8 binary64) (*.f64 (/.f64 c (*.f64 b b)) c))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 b b) (/.f64 b (*.f64 (*.f64 c c) #s(literal -3/8 binary64)))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 b b) (/.f64 b (*.f64 (*.f64 c c) #s(literal -3/8 binary64)))))) |
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (*.f64 b b) (/.f64 b (*.f64 (*.f64 c c) #s(literal -3/8 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 #s(literal -3/8 binary64) (*.f64 (/.f64 c (*.f64 b b)) c)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 b b) (/.f64 b (*.f64 (*.f64 c c) #s(literal -3/8 binary64)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (/.f64 b (*.f64 (*.f64 c c) #s(literal -3/8 binary64))))) |
(neg.f64 (*.f64 (/.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 b b) b)) (*.f64 c c))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 b b) (/.f64 b (*.f64 (*.f64 c c) #s(literal -3/8 binary64))))) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal -3/8 binary64) c) c) |
(*.f64 (*.f64 c c) #s(literal -3/8 binary64)) |
(*.f64 #s(literal -3/8 binary64) (*.f64 c c)) |
(*.f64 c (*.f64 #s(literal -3/8 binary64) c)) |
Compiled 39 574 to 3 161 computations (92% saved)
57 alts after pruning (51 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 358 | 11 | 1 369 |
| Fresh | 6 | 40 | 46 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 367 | 57 | 1 424 |
| Status | Accuracy | Program |
|---|---|---|
| 32.4% | (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) a) #s(literal 1/3 binary64) (/.f64 b (*.f64 #s(literal -3 binary64) a))) | |
| 31.5% | (fma.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (*.f64 b (/.f64 #s(literal -1/3 binary64) a))) | |
| 31.5% | (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (/.f64 #s(literal 1 binary64) a) (*.f64 b (/.f64 #s(literal -1/3 binary64) a))) | |
| 31.2% | (fma.f64 (*.f64 #s(literal 1/3 binary64) (neg.f64 b)) (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))))) | |
| 31.6% | (fma.f64 (neg.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1/3 binary64)) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))))) | |
| 31.9% | (fma.f64 b (/.f64 #s(literal -1/3 binary64) a) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))))) | |
| 31.5% | (fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (neg.f64 b)) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))))) | |
| 98.9% | (/.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) #s(literal 0 binary64)) (*.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b) (/.f64 #s(literal 1/3 binary64) a)) (*.f64 (*.f64 a a) #s(literal 9 binary64)))) | |
| 32.0% | (/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) a (*.f64 a (*.f64 #s(literal -1/3 binary64) b))) (*.f64 a a)) | |
| 31.2% | (/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (neg.f64 b)) a (*.f64 a (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))))) (*.f64 a a)) | |
| 30.3% | (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b) a) #s(literal 3 binary64)) | |
| 98.9% | (/.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)) (fma.f64 (*.f64 a c) #s(literal -3 binary64) #s(literal 0 binary64))) #s(literal 9 binary64)) (*.f64 a a)) | |
| 29.9% | (/.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) #s(literal 3 binary64)) (/.f64 b #s(literal 3 binary64))) a) | |
| 30.3% | (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) | |
| 29.8% | (/.f64 (-.f64 (neg.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) a)) (neg.f64 (/.f64 b a))) #s(literal -3 binary64)) | |
| 30.3% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) | |
| 30.2% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 b (/.f64 b c))) c)))) (*.f64 #s(literal 3 binary64) a)) | |
| 98.9% | (/.f64 (*.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) #s(literal 0 binary64)) #s(literal 1/9 binary64)) (*.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b) (/.f64 #s(literal 1/3 binary64) a)) (*.f64 a a))) | |
| 30.3% | (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(literal 3 binary64)) | |
| 30.3% | (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b) #s(literal 1/3 binary64)) a) | |
| 98.9% | (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) #s(literal 0 binary64)) #s(literal 1/9 binary64)) (*.f64 #s(literal 3 binary64) a)) (*.f64 (*.f64 a a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))) | |
| 81.9% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a)) | |
| 30.3% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) | |
| 30.3% | (/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) a)) | |
| ✓ | 29.7% | (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64)))) |
| 29.2% | (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (*.f64 (/.f64 b a) #s(literal 1/3 binary64))) | |
| 99.0% | (*.f64 (/.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) #s(literal 0 binary64)) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))) (/.f64 #s(literal -1/3 binary64) a)) | |
| 98.8% | (*.f64 (/.f64 (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 c a) (*.f64 c a)) #s(literal 9 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a))) | |
| 30.3% | (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64)) | |
| 99.2% | (*.f64 (/.f64 (*.f64 (*.f64 #s(literal -3 binary64) c) a) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a))) | |
| 99.3% | (*.f64 (/.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a))) | |
| 30.2% | (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b) #s(literal 1/3 binary64))) | |
| 30.3% | (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)) | |
| 30.3% | (*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)) (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -3 binary64))) | |
| 30.3% | (*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)) (/.f64 #s(literal 1 binary64) (/.f64 a #s(literal -1/3 binary64)))) | |
| 30.3% | (*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -3 binary64)))) b)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a))) | |
| 99.1% | (*.f64 #s(approx (/ (- (+ (* (* a c) -3) (* b b)) (* b b)) (* 9 (* a a))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)))) | |
| 81.8% | (*.f64 #s(approx (/ (+ (* (* a c) -3) 0) (neg (+ (sqrt (+ (* (* a c) -3) (* b b))) b))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a))) | |
| 82.2% | #s(approx (/ (+ (* (* 1/3 (sqrt (+ (* (* a c) -3) (* b b)))) a) (* a (* 1/3 (neg b)))) (* a a)) (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64) #s(literal 0 binary64)) a)) | |
| ✓ | 91.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) b)) |
| 90.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) (/.f64 (fma.f64 (*.f64 (*.f64 b c) b) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) c) #s(literal -3/8 binary64))) (*.f64 b b))) b)) | |
| 90.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) (*.f64 (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) c)) (*.f64 c c))) b)) | |
| 91.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) (*.f64 (fma.f64 (*.f64 a #s(literal -3/8 binary64)) (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64)) c)) b)) | |
| 82.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) | |
| ✓ | 90.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c)) |
| 90.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (*.f64 #s(literal -1/2 binary64) c)) (/.f64 #s(literal 1 binary64) b))) | |
| 93.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 #s(approx (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -9/16 binary64) a) a) (/.f64 c (*.f64 b b)) (*.f64 a #s(literal -3/8 binary64))) (*.f64 (*.f64 b b) b))) c (/.f64 #s(literal -1/2 binary64) b)) c)) | |
| ✓ | 82.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
| 90.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (/ (* a c) (* (* b b) b)) -3/8) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) (*.f64 (*.f64 a c) #s(literal -3/8 binary64))) (*.f64 (*.f64 b b) b))) c)) | |
| 90.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 a #s(literal -3/8 binary64)) (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64)) b)) c)) | |
| ✓ | 82.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) |
| 90.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (/.f64 (fma.f64 (*.f64 (*.f64 b c) b) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) c) #s(literal -3/8 binary64))) (*.f64 (*.f64 b b) b)))) | |
| 90.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (/.f64 (fma.f64 (*.f64 (*.f64 b b) c) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 c c) a) #s(literal -3/8 binary64))) (*.f64 (*.f64 b b) b)))) | |
| 90.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (*.f64 (fma.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 b c))) (*.f64 c c)))) | |
| 90.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (*.f64 #s(approx (+ (* (/ c (* a b)) -1/2) (/ (* (* c c) -3/8) (* (* b b) b))) (*.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 a b))) c)) a))) | |
| 82.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (*.f64 #s(approx (+ (* (/ c (* a b)) -1/2) (/ (* (* c c) -3/8) (* (* b b) b))) (*.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64))) a))) | |
| ✓ | 3.2% | #s(approx (+ (* (neg b) (/ 1/3 a)) (* (/ 1/3 a) (sqrt (+ (* (* a c) -3) (* b b))))) #s(literal 0 binary64)) |
Compiled 4 285 to 1 281 computations (70.1% saved)
| Inputs |
|---|
#s(approx (+ (* (neg b) (/ 1/3 a)) (* (/ 1/3 a) (sqrt (+ (* (* a c) -3) (* b b))))) #s(literal 0 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c 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 b c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (*.f64 #s(approx (+ (* (/ c (* a b)) -1/2) (/ (* (* c c) -3/8) (* (* b b) b))) (*.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64))) a))) |
#s(approx (+ (* (neg b) (/ 1/3 a)) (* (/ 1/3 a) (sqrt (+ (* (* a c) -3) (* b b))))) (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64) #s(literal 0 binary64)) a)) |
#s(approx (/ (+ (* (* 1/3 (sqrt (+ (* (* a c) -3) (* b b)))) a) (* a (* 1/3 (neg b)))) (* a a)) (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64) #s(literal 0 binary64)) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 #s(approx (neg (- (sqrt (+ (* (* a c) -3) (* b b))) b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a))) |
(*.f64 #s(approx (/ (+ (* (* a c) -3) 0) (neg (+ (sqrt (+ (* (* a c) -3) (* b b))) b))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 a #s(literal -3/8 binary64)) (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64)) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) (*.f64 (fma.f64 (*.f64 a #s(literal -3/8 binary64)) (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64)) c)) b)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b) #s(literal 1/3 binary64)) a) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (/ (* a c) (* (* b b) b)) -3/8) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) (*.f64 (*.f64 a c) #s(literal -3/8 binary64))) (*.f64 (*.f64 b b) b))) c)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 c #s(literal -3/8 binary64)) (/.f64 a (*.f64 (*.f64 b b) b)) (/.f64 #s(literal -1/2 binary64) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) 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 #s(literal 1 binary64) a) (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b) #s(literal 1/3 binary64))) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64)) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b) a) #s(literal 3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (/.f64 (fma.f64 (*.f64 (*.f64 b b) c) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 c c) a) #s(literal -3/8 binary64))) (*.f64 (*.f64 b b) b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (/.f64 (fma.f64 (*.f64 (*.f64 b c) b) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) c) #s(literal -3/8 binary64))) (*.f64 (*.f64 b b) b)))) |
(*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -3 binary64)))) b)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a))) |
(*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (*.f64 #s(approx (+ (* (/ c (* a b)) -1/2) (/ (* (* c c) -3/8) (* (* b b) b))) (*.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 a b))) c)) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (*.f64 (fma.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 b c))) (*.f64 c c)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (*.f64 #s(literal -1/2 binary64) c)) (/.f64 #s(literal 1 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 a #s(literal -3/8 binary64)) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) (*.f64 (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) c)) (*.f64 c c))) b)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) a)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(literal 3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (*.f64 (fma.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) (/.f64 (fma.f64 (*.f64 (*.f64 b c) b) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) c) #s(literal -3/8 binary64))) (*.f64 b b))) b)) |
(*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)) (/.f64 #s(literal 1 binary64) (/.f64 a #s(literal -1/3 binary64)))) |
(*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)) (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -3 binary64))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 b (/.f64 b c))) c)))) (*.f64 #s(literal 3 binary64) a)) |
(fma.f64 b (/.f64 #s(literal -1/3 binary64) a) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (*.f64 b (/.f64 #s(literal -1/3 binary64) a))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (/.f64 b (*.f64 #s(literal -3 binary64) a))) |
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) a) #s(literal 1/3 binary64) (/.f64 b (*.f64 #s(literal -3 binary64) a))) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (*.f64 (/.f64 b a) #s(literal 1/3 binary64))) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64)))) |
(fma.f64 (neg.f64 b) (/.f64 #s(literal 1/3 binary64) a) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))))) |
(/.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) #s(literal 3 binary64)) (/.f64 b #s(literal 3 binary64))) a) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) a (*.f64 a (*.f64 #s(literal -1/3 binary64) b))) (*.f64 a a)) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (/.f64 #s(literal 1 binary64) a) (*.f64 b (/.f64 #s(literal -1/3 binary64) a))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (neg.f64 b)) a (*.f64 a (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))))) (*.f64 a a)) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) a (*.f64 a (*.f64 #s(literal 1/3 binary64) (neg.f64 b)))) (*.f64 a a)) |
(/.f64 (-.f64 (neg.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) a)) (neg.f64 (/.f64 b a))) #s(literal -3 binary64)) |
(fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (neg.f64 b)) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))))) |
(fma.f64 (neg.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1/3 binary64)) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))))) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) (neg.f64 b)) (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))))) |
(/.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (*.f64 (*.f64 #s(literal -3 binary64) a) b)) (*.f64 #s(literal 9 binary64) (*.f64 a a))) |
(*.f64 (/.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) #s(literal 0 binary64)) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))) (/.f64 #s(literal -1/3 binary64) a)) |
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) a) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (/.f64 b a))) #s(literal 9 binary64)) |
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a))) |
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal -3 binary64) c) a) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a))) |
(*.f64 (/.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) #s(literal 0 binary64)) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal -3 binary64) a)) (*.f64 (*.f64 #s(literal -3 binary64) a) (neg.f64 b))) (*.f64 #s(literal 9 binary64) (*.f64 a a))) |
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) #s(literal 0 binary64)) #s(literal 1/9 binary64)) (*.f64 #s(literal 3 binary64) a)) (*.f64 (*.f64 a a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))) |
(/.f64 (*.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) #s(literal 0 binary64)) (*.f64 #s(literal 3 binary64) a)) (*.f64 (*.f64 (*.f64 a a) #s(literal 9 binary64)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))) |
(/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) a) (*.f64 #s(literal 3 binary64) a)) (*.f64 #s(literal 3 binary64) b)) (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) a))) |
(*.f64 #s(approx (/ (- (+ (* (* a c) -3) (* b b)) (* b b)) (* 9 (* a a))) (*.f64 (/.f64 c a) #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)))) |
(*.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 #s(approx (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -9/16 binary64) a) a) (/.f64 c (*.f64 b b)) (*.f64 a #s(literal -3/8 binary64))) (*.f64 (*.f64 b b) b))) c (/.f64 #s(literal -1/2 binary64) b)) c)) |
(/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) #s(literal 0 binary64)) #s(literal 1/9 binary64)) (*.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b) (/.f64 #s(literal 1/3 binary64) a)) (*.f64 a a))) |
(/.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) #s(literal 0 binary64)) (*.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b) (/.f64 #s(literal 1/3 binary64) a)) (*.f64 (*.f64 a a) #s(literal 9 binary64)))) |
(/.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)) (fma.f64 (*.f64 a c) #s(literal -3 binary64) #s(literal 0 binary64))) #s(literal 9 binary64)) (*.f64 a a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (* (* (* c c) (/ c (pow b 5))) -9/16)) a) (/ (* (* c c) -3/8) (* (* b b) b))) (/.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) c) c (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 a c) c) c) #s(literal -9/16 binary64)) (*.f64 b b))) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) a) (/.f64 (*.f64 #s(literal 3 binary64) a) b)) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 #s(literal 3 binary64) a) b))) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (/.f64 (*.f64 #s(literal 3 binary64) a) b)) (*.f64 (*.f64 #s(literal 3 binary64) a) #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) a) (/.f64 (*.f64 #s(literal 3 binary64) a) b))) |
(/.f64 (/.f64 (-.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (*.f64 b b)) (*.f64 #s(literal 9 binary64) (*.f64 a a))) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))) |
(*.f64 (/.f64 (*.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a)) (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
(*.f64 (/.f64 (-.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (*.f64 b b)) (*.f64 #s(literal 9 binary64) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)))) |
(*.f64 (/.f64 (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 c a) (*.f64 c a)) #s(literal 9 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a))) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) a))) |
(/.f64 (-.f64 #s(literal 3 binary64) (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (/.f64 b a))) (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) #s(literal 3 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)) (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) b)) (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))) |
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 (*.f64 (*.f64 b b) b) b))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 b b) b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))))))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) (*.f64 (*.f64 a c) #s(literal -3/8 binary64))) b) b (*.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -9/16 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -9/16 binary64) a) a) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (*.f64 a #s(literal -3/8 binary64)) (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64))) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b))) (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (*.f64 (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 405/64 binary64) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 b b) b) b)))))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
(-.f64 (/.f64 (/.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (*.f64 #s(literal 9 binary64) (*.f64 a a))) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))) (/.f64 (/.f64 (*.f64 b b) (*.f64 #s(literal 9 binary64) (*.f64 a a))) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (*.f64 a #s(literal -9/16 binary64)) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (*.f64 b b) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))))) |
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 (*.f64 a a) a) #s(literal 27 binary64))) (fma.f64 (/.f64 b (*.f64 #s(literal 3 binary64) a)) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)) (/.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (*.f64 #s(literal 9 binary64) (*.f64 a a))))) |
(*.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 (*.f64 a a) a) #s(literal 27 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 b (*.f64 #s(literal 3 binary64) a)) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)) (/.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (*.f64 #s(literal 9 binary64) (*.f64 a a)))))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) a) #s(literal -27/16 binary64)) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (*.f64 (*.f64 b b) b))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 c a)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b) b))) b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 (*.f64 b b) b) b))) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 c a)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b) b))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 (*.f64 b b) b))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) c) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) (*.f64 b a))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) c) (/.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 a b)) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (*.f64 (*.f64 a a) a) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (*.f64 (*.f64 b b) b))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) a) #s(literal -27/16 binary64)) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (fma.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (*.f64 c (/.f64 c (*.f64 b b))) (fma.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) #s(literal -1/2 binary64) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))))) b)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 b c)) #s(literal -1 binary64))) #s(literal -1/2 binary64)))) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a))) |
5 calls:
| 74.0ms | (*.f64 #s(literal 3 binary64) a) |
| 60.0ms | c |
| 55.0ms | (/.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)) |
| 53.0ms | b |
| 31.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 1 | a |
| 99.3% | 1 | b |
| 99.3% | 1 | c |
| 99.3% | 1 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 99.3% | 1 | (*.f64 #s(literal 3 binary64) a) |
Compiled 38 to 26 computations (31.6% saved)
| Inputs |
|---|
#s(approx (+ (* (neg b) (/ 1/3 a)) (* (/ 1/3 a) (sqrt (+ (* (* a c) -3) (* b b))))) #s(literal 0 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c 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 b c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (*.f64 #s(approx (+ (* (/ c (* a b)) -1/2) (/ (* (* c c) -3/8) (* (* b b) b))) (*.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64))) a))) |
#s(approx (+ (* (neg b) (/ 1/3 a)) (* (/ 1/3 a) (sqrt (+ (* (* a c) -3) (* b b))))) (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64) #s(literal 0 binary64)) a)) |
#s(approx (/ (+ (* (* 1/3 (sqrt (+ (* (* a c) -3) (* b b)))) a) (* a (* 1/3 (neg b)))) (* a a)) (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64) #s(literal 0 binary64)) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 #s(approx (neg (- (sqrt (+ (* (* a c) -3) (* b b))) b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a))) |
(*.f64 #s(approx (/ (+ (* (* a c) -3) 0) (neg (+ (sqrt (+ (* (* a c) -3) (* b b))) b))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 a #s(literal -3/8 binary64)) (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64)) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) (*.f64 (fma.f64 (*.f64 a #s(literal -3/8 binary64)) (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64)) c)) b)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b) #s(literal 1/3 binary64)) a) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (/ (* a c) (* (* b b) b)) -3/8) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) (*.f64 (*.f64 a c) #s(literal -3/8 binary64))) (*.f64 (*.f64 b b) b))) c)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 c #s(literal -3/8 binary64)) (/.f64 a (*.f64 (*.f64 b b) b)) (/.f64 #s(literal -1/2 binary64) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) 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 #s(literal 1 binary64) a) (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b) #s(literal 1/3 binary64))) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64)) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b) a) #s(literal 3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (/.f64 (fma.f64 (*.f64 (*.f64 b b) c) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 c c) a) #s(literal -3/8 binary64))) (*.f64 (*.f64 b b) b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (/.f64 (fma.f64 (*.f64 (*.f64 b c) b) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) c) #s(literal -3/8 binary64))) (*.f64 (*.f64 b b) b)))) |
(*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -3 binary64)))) b)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a))) |
(*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (*.f64 #s(approx (+ (* (/ c (* a b)) -1/2) (/ (* (* c c) -3/8) (* (* b b) b))) (*.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 a b))) c)) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (*.f64 (fma.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 b c))) (*.f64 c c)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (*.f64 #s(literal -1/2 binary64) c)) (/.f64 #s(literal 1 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 a #s(literal -3/8 binary64)) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) (*.f64 (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) c)) (*.f64 c c))) b)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) a)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(literal 3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (*.f64 (fma.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) (/.f64 (fma.f64 (*.f64 (*.f64 b c) b) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) c) #s(literal -3/8 binary64))) (*.f64 b b))) b)) |
(*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)) (/.f64 #s(literal 1 binary64) (/.f64 a #s(literal -1/3 binary64)))) |
(*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)) (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -3 binary64))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 b (/.f64 b c))) c)))) (*.f64 #s(literal 3 binary64) a)) |
(fma.f64 b (/.f64 #s(literal -1/3 binary64) a) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (*.f64 b (/.f64 #s(literal -1/3 binary64) a))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (/.f64 b (*.f64 #s(literal -3 binary64) a))) |
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) a) #s(literal 1/3 binary64) (/.f64 b (*.f64 #s(literal -3 binary64) a))) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (*.f64 (/.f64 b a) #s(literal 1/3 binary64))) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64)))) |
(fma.f64 (neg.f64 b) (/.f64 #s(literal 1/3 binary64) a) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))))) |
(/.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) #s(literal 3 binary64)) (/.f64 b #s(literal 3 binary64))) a) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) a (*.f64 a (*.f64 #s(literal -1/3 binary64) b))) (*.f64 a a)) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (/.f64 #s(literal 1 binary64) a) (*.f64 b (/.f64 #s(literal -1/3 binary64) a))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (neg.f64 b)) a (*.f64 a (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))))) (*.f64 a a)) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) a (*.f64 a (*.f64 #s(literal 1/3 binary64) (neg.f64 b)))) (*.f64 a a)) |
(/.f64 (-.f64 (neg.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) a)) (neg.f64 (/.f64 b a))) #s(literal -3 binary64)) |
(fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (neg.f64 b)) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))))) |
(fma.f64 (neg.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1/3 binary64)) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))))) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) (neg.f64 b)) (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))))) |
(/.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (*.f64 (*.f64 #s(literal -3 binary64) a) b)) (*.f64 #s(literal 9 binary64) (*.f64 a a))) |
(*.f64 (/.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) #s(literal 0 binary64)) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))) (/.f64 #s(literal -1/3 binary64) a)) |
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) a) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (/.f64 b a))) #s(literal 9 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) #s(literal 0 binary64)) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))) (/.f64 #s(literal -1/3 binary64) a)) |
5 calls:
| 52.0ms | (*.f64 #s(literal 3 binary64) a) |
| 33.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 20.0ms | a |
| 18.0ms | c |
| 18.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 1 | a |
| 99.0% | 1 | b |
| 99.0% | 1 | c |
| 99.0% | 1 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 99.0% | 1 | (*.f64 #s(literal 3 binary64) a) |
Compiled 38 to 26 computations (31.6% saved)
| Inputs |
|---|
#s(approx (+ (* (neg b) (/ 1/3 a)) (* (/ 1/3 a) (sqrt (+ (* (* a c) -3) (* b b))))) #s(literal 0 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c 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 b c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (*.f64 #s(approx (+ (* (/ c (* a b)) -1/2) (/ (* (* c c) -3/8) (* (* b b) b))) (*.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64))) a))) |
#s(approx (+ (* (neg b) (/ 1/3 a)) (* (/ 1/3 a) (sqrt (+ (* (* a c) -3) (* b b))))) (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64) #s(literal 0 binary64)) a)) |
#s(approx (/ (+ (* (* 1/3 (sqrt (+ (* (* a c) -3) (* b b)))) a) (* a (* 1/3 (neg b)))) (* a a)) (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64) #s(literal 0 binary64)) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 #s(approx (neg (- (sqrt (+ (* (* a c) -3) (* b b))) b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a))) |
(*.f64 #s(approx (/ (+ (* (* a c) -3) 0) (neg (+ (sqrt (+ (* (* a c) -3) (* b b))) b))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 a #s(literal -3/8 binary64)) (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64)) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) (*.f64 (fma.f64 (*.f64 a #s(literal -3/8 binary64)) (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64)) c)) b)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b) #s(literal 1/3 binary64)) a) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (/ (* a c) (* (* b b) b)) -3/8) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) (*.f64 (*.f64 a c) #s(literal -3/8 binary64))) (*.f64 (*.f64 b b) b))) c)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 c #s(literal -3/8 binary64)) (/.f64 a (*.f64 (*.f64 b b) b)) (/.f64 #s(literal -1/2 binary64) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) 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 #s(literal 1 binary64) a) (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b) #s(literal 1/3 binary64))) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64)) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b) a) #s(literal 3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (/.f64 (fma.f64 (*.f64 (*.f64 b b) c) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 c c) a) #s(literal -3/8 binary64))) (*.f64 (*.f64 b b) b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (/.f64 (fma.f64 (*.f64 (*.f64 b c) b) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) c) #s(literal -3/8 binary64))) (*.f64 (*.f64 b b) b)))) |
(*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -3 binary64)))) b)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a))) |
(*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (*.f64 #s(approx (+ (* (/ c (* a b)) -1/2) (/ (* (* c c) -3/8) (* (* b b) b))) (*.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 a b))) c)) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (*.f64 (fma.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 b c))) (*.f64 c c)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (*.f64 #s(literal -1/2 binary64) c)) (/.f64 #s(literal 1 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 a #s(literal -3/8 binary64)) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) (*.f64 (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) c)) (*.f64 c c))) b)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) a)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(literal 3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (*.f64 (fma.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) (/.f64 (fma.f64 (*.f64 (*.f64 b c) b) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) c) #s(literal -3/8 binary64))) (*.f64 b b))) b)) |
(*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)) (/.f64 #s(literal 1 binary64) (/.f64 a #s(literal -1/3 binary64)))) |
(*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)) (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -3 binary64))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 b (/.f64 b c))) c)))) (*.f64 #s(literal 3 binary64) a)) |
(fma.f64 b (/.f64 #s(literal -1/3 binary64) a) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (*.f64 b (/.f64 #s(literal -1/3 binary64) a))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (/.f64 b (*.f64 #s(literal -3 binary64) a))) |
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) a) #s(literal 1/3 binary64) (/.f64 b (*.f64 #s(literal -3 binary64) a))) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (*.f64 (/.f64 b a) #s(literal 1/3 binary64))) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64)))) |
(fma.f64 (neg.f64 b) (/.f64 #s(literal 1/3 binary64) a) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))))) |
(/.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) #s(literal 3 binary64)) (/.f64 b #s(literal 3 binary64))) a) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) a (*.f64 a (*.f64 #s(literal -1/3 binary64) b))) (*.f64 a a)) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (/.f64 #s(literal 1 binary64) a) (*.f64 b (/.f64 #s(literal -1/3 binary64) a))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (neg.f64 b)) a (*.f64 a (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))))) (*.f64 a a)) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) a (*.f64 a (*.f64 #s(literal 1/3 binary64) (neg.f64 b)))) (*.f64 a a)) |
(/.f64 (-.f64 (neg.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) a)) (neg.f64 (/.f64 b a))) #s(literal -3 binary64)) |
(fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (neg.f64 b)) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))))) |
(fma.f64 (neg.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1/3 binary64)) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))))) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) (neg.f64 b)) (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))))) |
(/.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (*.f64 (*.f64 #s(literal -3 binary64) a) b)) (*.f64 #s(literal 9 binary64) (*.f64 a a))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) b)) |
5 calls:
| 49.0ms | a |
| 49.0ms | c |
| 42.0ms | b |
| 34.0ms | (*.f64 #s(literal 3 binary64) a) |
| 17.0ms | (/.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 |
|---|---|---|
| 91.0% | 1 | a |
| 91.0% | 1 | b |
| 91.0% | 1 | c |
| 91.0% | 1 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 91.0% | 1 | (*.f64 #s(literal 3 binary64) a) |
Compiled 38 to 26 computations (31.6% saved)
| Inputs |
|---|
#s(approx (+ (* (neg b) (/ 1/3 a)) (* (/ 1/3 a) (sqrt (+ (* (* a c) -3) (* b b))))) #s(literal 0 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c 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 b c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (*.f64 #s(approx (+ (* (/ c (* a b)) -1/2) (/ (* (* c c) -3/8) (* (* b b) b))) (*.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64))) a))) |
#s(approx (+ (* (neg b) (/ 1/3 a)) (* (/ 1/3 a) (sqrt (+ (* (* a c) -3) (* b b))))) (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64) #s(literal 0 binary64)) a)) |
#s(approx (/ (+ (* (* 1/3 (sqrt (+ (* (* a c) -3) (* b b)))) a) (* a (* 1/3 (neg b)))) (* a a)) (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64) #s(literal 0 binary64)) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 #s(approx (neg (- (sqrt (+ (* (* a c) -3) (* b b))) b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a))) |
(*.f64 #s(approx (/ (+ (* (* a c) -3) 0) (neg (+ (sqrt (+ (* (* a c) -3) (* b b))) b))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 a #s(literal -3/8 binary64)) (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64)) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) (*.f64 (fma.f64 (*.f64 a #s(literal -3/8 binary64)) (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64)) c)) b)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b)) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b) #s(literal 1/3 binary64)) a) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (/ (* a c) (* (* b b) b)) -3/8) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) (*.f64 (*.f64 a c) #s(literal -3/8 binary64))) (*.f64 (*.f64 b b) b))) c)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 c #s(literal -3/8 binary64)) (/.f64 a (*.f64 (*.f64 b b) b)) (/.f64 #s(literal -1/2 binary64) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 (*.f64 a c) (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) c)) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) (*.f64 (fma.f64 (*.f64 a #s(literal -3/8 binary64)) (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64)) c)) b)) |
5 calls:
| 22.0ms | a |
| 7.0ms | (*.f64 #s(literal 3 binary64) a) |
| 7.0ms | b |
| 7.0ms | c |
| 7.0ms | (/.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 |
|---|---|---|
| 91.0% | 1 | c |
| 91.0% | 1 | b |
| 91.0% | 1 | a |
| 91.0% | 1 | (*.f64 #s(literal 3 binary64) a) |
| 91.0% | 1 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
Compiled 38 to 26 computations (31.6% saved)
| Inputs |
|---|
#s(approx (+ (* (neg b) (/ 1/3 a)) (* (/ 1/3 a) (sqrt (+ (* (* a c) -3) (* b b))))) #s(literal 0 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c 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 b c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (*.f64 #s(approx (+ (* (/ c (* a b)) -1/2) (/ (* (* c c) -3/8) (* (* b b) b))) (*.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64))) a))) |
#s(approx (+ (* (neg b) (/ 1/3 a)) (* (/ 1/3 a) (sqrt (+ (* (* a c) -3) (* b b))))) (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64) #s(literal 0 binary64)) a)) |
#s(approx (/ (+ (* (* 1/3 (sqrt (+ (* (* a c) -3) (* b b)))) a) (* a (* 1/3 (neg b)))) (* a a)) (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64) #s(literal 0 binary64)) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 #s(approx (neg (- (sqrt (+ (* (* a c) -3) (* b b))) b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a))) |
(*.f64 #s(approx (/ (+ (* (* a c) -3) 0) (neg (+ (sqrt (+ (* (* a c) -3) (* b b))) b))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 a #s(literal -3/8 binary64)) (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64)) b)) c)) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 a #s(literal -3/8 binary64)) (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64)) b)) c)) |
5 calls:
| 9.0ms | c |
| 4.0ms | b |
| 4.0ms | a |
| 4.0ms | (*.f64 #s(literal 3 binary64) a) |
| 4.0ms | (/.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 |
|---|---|---|
| 90.7% | 1 | b |
| 90.7% | 1 | c |
| 90.7% | 1 | a |
| 90.7% | 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)) |
| 90.7% | 1 | (*.f64 #s(literal 3 binary64) a) |
Compiled 38 to 26 computations (31.6% saved)
| Inputs |
|---|
#s(approx (+ (* (neg b) (/ 1/3 a)) (* (/ 1/3 a) (sqrt (+ (* (* a c) -3) (* b b))))) #s(literal 0 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c 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 b c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (/ (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) b) (*.f64 #s(approx (+ (* (/ c (* a b)) -1/2) (/ (* (* c c) -3/8) (* (* b b) b))) (*.f64 (/.f64 c (*.f64 a b)) #s(literal -1/2 binary64))) a))) |
#s(approx (+ (* (neg b) (/ 1/3 a)) (* (/ 1/3 a) (sqrt (+ (* (* a c) -3) (* b b))))) (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64) #s(literal 0 binary64)) a)) |
#s(approx (/ (+ (* (* 1/3 (sqrt (+ (* (* a c) -3) (* b b)))) a) (* a (* 1/3 (neg b)))) (* a a)) (/.f64 (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64) #s(literal 0 binary64)) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 #s(approx (neg (- (sqrt (+ (* (* a c) -3) (* b b))) b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a))) |
(*.f64 #s(approx (/ (+ (* (* a c) -3) 0) (neg (+ (sqrt (+ (* (* a c) -3) (* b b))) b))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
5 calls:
| 29.0ms | c |
| 4.0ms | (*.f64 #s(literal 3 binary64) a) |
| 4.0ms | a |
| 4.0ms | b |
| 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 |
|---|---|---|
| 82.2% | 1 | b |
| 82.2% | 1 | a |
| 82.2% | 1 | c |
| 82.2% | 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)) |
| 82.2% | 1 | (*.f64 #s(literal 3 binary64) a) |
Compiled 38 to 26 computations (31.6% saved)
| Inputs |
|---|
#s(approx (+ (* (neg b) (/ 1/3 a)) (* (/ 1/3 a) (sqrt (+ (* (* a c) -3) (* b b))))) #s(literal 0 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) |
5 calls:
| 2.0ms | (*.f64 #s(literal 3 binary64) a) |
| 2.0ms | c |
| 2.0ms | a |
| 2.0ms | (/.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)) |
| 2.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.0% | 1 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 82.0% | 1 | b |
| 82.0% | 1 | c |
| 82.0% | 1 | a |
| 82.0% | 1 | (*.f64 #s(literal 3 binary64) a) |
Compiled 38 to 26 computations (31.6% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (+ (* (neg b) (/ 1/3 a)) (* (/ 1/3 a) (sqrt (+ (* (* a c) -3) (* b b))))) #s(literal 0 binary64)) |
| Outputs |
|---|
#s(approx (+ (* (neg b) (/ 1/3 a)) (* (/ 1/3 a) (sqrt (+ (* (* a c) -3) (* b b))))) #s(literal 0 binary64)) |
5 calls:
| 11.0ms | a |
| 1.0ms | (*.f64 #s(literal 3 binary64) a) |
| 1.0ms | b |
| 1.0ms | (/.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)) |
| 1.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 3.2% | 1 | c |
| 3.2% | 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)) |
| 3.2% | 1 | b |
| 3.2% | 1 | a |
| 3.2% | 1 | (*.f64 #s(literal 3 binary64) a) |
Compiled 38 to 26 computations (31.6% saved)
| 1× | egg-herbie |
| 104× | neg-mul-1_binary64 |
| 78× | unsub-neg_binary64 |
| 62× | *-commutative_binary64 |
| 44× | distribute-lft-neg-in_binary64 |
| 44× | distribute-rgt-neg-in_binary64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 87 | 286 |
| 1 | 112 | 286 |
| 2 | 136 | 286 |
| 3 | 170 | 286 |
| 4 | 202 | 286 |
| 5 | 222 | 285 |
| 6 | 236 | 285 |
| 7 | 306 | 285 |
| 8 | 408 | 285 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a))) |
(*.f64 (/.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) #s(literal 0 binary64)) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))) (/.f64 #s(literal -1/3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) (*.f64 (fma.f64 (*.f64 a #s(literal -3/8 binary64)) (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64)) c)) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 a #s(literal -3/8 binary64)) (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64)) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) |
#s(approx (+ (* (neg b) (/ 1/3 a)) (* (/ 1/3 a) (sqrt (+ (* (* a c) -3) (* b b))))) #s(literal 0 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) a))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 a #s(literal -3 binary64))) (/.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) b))) |
(*.f64 (/.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) #s(literal 0 binary64)) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) b))) (/.f64 #s(literal -1/3 binary64) a)) |
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (/.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) #s(literal 0 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 (/.f64 c (*.f64 b b)) c) (*.f64 #s(literal -1/2 binary64) c)) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) (*.f64 (fma.f64 (*.f64 a #s(literal -3/8 binary64)) (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64)) c)) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -3/8 a) (* c (/ c (* b b)))) (* -1/2 c)) (*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64)) c)) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 a #s(literal -3/8 binary64)) (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64)) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64)) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (* (* b b) b)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) |
#s(approx (+ (* (neg b) (/ 1/3 a)) (* (/ 1/3 a) (sqrt (+ (* (* a c) -3) (* b b))))) #s(literal 0 binary64)) |
| 12 496× | lower-fma.f64 |
| 12 496× | lower-fma.f32 |
| 11 360× | lower-fma.f64 |
| 11 360× | lower-fma.f32 |
| 9 060× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1446 | 14374 |
| 1 | 4719 | 14066 |
| 0 | 8271 | 13492 |
| 0 | 858 | 14103 |
| 1 | 2679 | 13963 |
| 0 | 8414 | 13398 |
| 0 | 67 | 360 |
| 0 | 102 | 333 |
| 1 | 405 | 311 |
| 2 | 3580 | 303 |
| 0 | 8922 | 300 |
| 0 | 67 | 453 |
| 0 | 116 | 433 |
| 1 | 442 | 411 |
| 2 | 3626 | 403 |
| 0 | 8333 | 403 |
| 0 | 80 | 531 |
| 0 | 129 | 476 |
| 1 | 501 | 398 |
| 2 | 4264 | 388 |
| 0 | 8683 | 377 |
| 0 | 12 | 46 |
| 0 | 20 | 46 |
| 1 | 71 | 44 |
| 2 | 525 | 43 |
| 3 | 6836 | 43 |
| 0 | 8125 | 40 |
| 0 | 470 | 2458 |
| 1 | 1445 | 2441 |
| 2 | 4890 | 2418 |
| 0 | 8056 | 2302 |
| 1× | fuel |
| 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× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 443 to 212 computations (52.1% saved)
Compiled 266 to 104 computations (60.9% saved)
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