
Time bar (total: 11.0s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 2 |
| 50% | 49.9% | 49.9% | 0.2% | 0% | 0% | 0% | 3 |
| 50% | 49.9% | 49.9% | 0.2% | 0% | 0% | 0% | 4 |
| 50% | 49.9% | 49.9% | 0.2% | 0% | 0% | 0% | 5 |
| 50% | 49.9% | 49.9% | 0.2% | 0% | 0% | 0% | 6 |
| 75% | 74.9% | 25% | 0.2% | 0% | 0% | 0% | 7 |
| 75% | 74.9% | 25% | 0.2% | 0% | 0% | 0% | 8 |
| 75% | 74.9% | 25% | 0.2% | 0% | 0% | 0% | 9 |
| 75% | 74.9% | 25% | 0.2% | 0% | 0% | 0% | 10 |
| 87.5% | 87.3% | 12.5% | 0.2% | 0% | 0% | 0% | 11 |
| 87.5% | 87.3% | 12.5% | 0.2% | 0% | 0% | 0% | 12 |
Compiled 17 to 14 computations (17.6% saved)
| 948.0ms | 8 027× | 0 | valid |
| 47.0ms | 229× | 1 | valid |
ival-div: 142.0ms (32% of total)ival-mult: 125.0ms (28.2% of total)ival-tanh: 83.0ms (18.7% of total)ival-sub: 40.0ms (9% of total)ival-add: 38.0ms (8.6% of total)adjust: 6.0ms (1.4% of total)ival-true: 6.0ms (1.4% of total)ival-assert: 3.0ms (0.7% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 17 | 1 | (-1.2681050045592582e-151 1.3645445811647623e-280 -1.8042926439755263e-44 6.469600628447247e-215) | 1 | (2.633518825293588e-45 -1.0215862444127773e+274 -5.5355380419537444e-241 4.775574817130868e-42) | (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
| 0 | 0 | - | 0 | - | (/.f64 x y) |
| 0 | 0 | - | 0 | - | (/.f64 t y) |
| 0 | 0 | - | 0 | - | t |
| 0 | 0 | - | 0 | - | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 0 | 0 | - | 0 | - | (tanh.f64 (/.f64 x y)) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (tanh.f64 (/.f64 t y)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
| 0 | 0 | - | 0 | - | (*.f64 y z) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
*.f64 | (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) | n*o | 13 | 0 |
*.f64 | (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) | o*u | 2 | 0 |
| ↳ | (*.f64 y z) | overflow | 33 | |
| ↳ | (/.f64 t y) | underflow | 29 | |
| ↳ | (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) | underflow | 43 | |
| ↳ | (tanh.f64 (/.f64 x y)) | underflow | 26 | |
| ↳ | (/.f64 x y) | underflow | 26 | |
| ↳ | (tanh.f64 (/.f64 t y)) | underflow | 29 | |
*.f64 | (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) | n*u | 1 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 16 | 0 |
| - | 0 | 240 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 16 | 0 | 0 |
| - | 0 | 0 | 240 |
| number | freq |
|---|---|
| 0 | 240 |
| 1 | 16 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 41.0ms | 436× | 0 | valid |
| 17.0ms | 64× | 2 | valid |
| 2.0ms | 12× | 1 | valid |
Compiled 139 to 40 computations (71.2% saved)
ival-div: 10.0ms (28.6% of total)ival-mult: 10.0ms (28.6% of total)ival-tanh: 6.0ms (17.1% of total)ival-sub: 3.0ms (8.6% of total)adjust: 3.0ms (8.6% of total)ival-add: 3.0ms (8.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
| 12 492× | lower-fma.f64 |
| 12 492× | lower-fma.f32 |
| 3 782× | lower-*.f32 |
| 3 778× | lower-*.f64 |
| 2 164× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 76 | 226 |
| 1 | 399 | 224 |
| 2 | 1184 | 210 |
| 3 | 4721 | 210 |
| 0 | 12 | 15 |
| 0 | 20 | 15 |
| 1 | 62 | 15 |
| 2 | 165 | 15 |
| 3 | 427 | 15 |
| 4 | 1658 | 15 |
| 5 | 6383 | 15 |
| 0 | 8408 | 14 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| Outputs |
|---|
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) x) |
(abs y)
Compiled 19 to 12 computations (36.8% saved)
Compiled 4 to 4 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 94.1% | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
Compiled 19 to 12 computations (36.8% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) | |
| cost-diff | 0 | (*.f64 y z) | |
| cost-diff | 0 | (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) | |
| cost-diff | 128 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 12 492× | lower-fma.f64 |
| 12 492× | lower-fma.f32 |
| 3 782× | lower-*.f32 |
| 3 778× | lower-*.f64 |
| 2 164× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 58 |
| 0 | 20 | 58 |
| 1 | 62 | 58 |
| 2 | 165 | 58 |
| 3 | 427 | 58 |
| 4 | 1658 | 58 |
| 5 | 6383 | 58 |
| 0 | 8408 | 57 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
x |
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
(*.f64 y z) |
y |
z |
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
(tanh.f64 (/.f64 t y)) |
(/.f64 t y) |
t |
(tanh.f64 (/.f64 x y)) |
(/.f64 x y) |
| Outputs |
|---|
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) x) |
x |
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)) |
(*.f64 y z) |
(*.f64 z y) |
y |
z |
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
(tanh.f64 (/.f64 t y)) |
(/.f64 t y) |
t |
(tanh.f64 (/.f64 x y)) |
(/.f64 x y) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0078125 | (tanh.f64 (/.f64 t y)) | |
| accuracy | 0.01171875 | (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) | |
| accuracy | 0.01171875 | (tanh.f64 (/.f64 x y)) | |
| accuracy | 3.9528819226554828 | (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
| 54.0ms | 6× | 1 | valid |
| 42.0ms | 218× | 0 | valid |
| 13.0ms | 32× | 2 | valid |
Compiled 60 to 14 computations (76.7% saved)
adjust: 55.0ms (59.7% of total)ival-sub: 14.0ms (15.2% of total)ival-div: 8.0ms (8.7% of total)ival-mult: 7.0ms (7.6% of total)ival-tanh: 5.0ms (5.4% of total)ival-add: 3.0ms (3.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (patch (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (patch (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #<representation binary64>) () ()) |
#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ()) |
#s(alt (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (patch (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) #<representation binary64>) () ()) |
#s(alt (tanh.f64 (/.f64 x y)) (patch (tanh.f64 (/.f64 x y)) #<representation binary64>) () ()) |
#s(alt (tanh.f64 (/.f64 t y)) (patch (tanh.f64 (/.f64 t y)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (taylor 0 t) (#s(alt (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (patch (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor 0 t) (#s(alt (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (patch (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor 0 t) (#s(alt (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (patch (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor 0 t) (#s(alt (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (patch (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #<representation binary64>) () ())) ()) |
#s(alt (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (taylor 0 t) (#s(alt (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (patch (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (taylor 0 t) (#s(alt (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (patch (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (taylor 0 t) (#s(alt (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (patch (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (taylor 0 t) (#s(alt (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (patch (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (taylor 0 t) (#s(alt (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (patch (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y)) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (taylor 0 t) (#s(alt (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (patch (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (taylor 0 t) (#s(alt (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (patch (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (taylor 0 t) (#s(alt (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (patch (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (/ t y) (taylor 0 t) (#s(alt (tanh.f64 (/.f64 t y)) (patch (tanh.f64 (/.f64 t y)) #<representation binary64>) () ())) ()) |
#s(alt (* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y))) (taylor 0 t) (#s(alt (tanh.f64 (/.f64 t y)) (patch (tanh.f64 (/.f64 t y)) #<representation binary64>) () ())) ()) |
#s(alt (* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) (taylor 0 t) (#s(alt (tanh.f64 (/.f64 t y)) (patch (tanh.f64 (/.f64 t y)) #<representation binary64>) () ())) ()) |
#s(alt (* t (+ (* (pow t 2) (- (* (pow t 2) (+ (* -17/315 (/ (pow t 2) (pow y 7))) (* 2/15 (/ 1 (pow y 5))))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) (taylor 0 t) (#s(alt (tanh.f64 (/.f64 t y)) (patch (tanh.f64 (/.f64 t y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor inf t) (#s(alt (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (patch (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor inf t) (#s(alt (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (patch (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor inf t) (#s(alt (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (patch (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor inf t) (#s(alt (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (patch (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #<representation binary64>) () ())) ()) |
#s(alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (taylor inf t) (#s(alt (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (patch (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #<representation binary64>) () ())) ()) |
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12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 12.0ms | y | @ | -inf | ((+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ x y)) (tanh (/ t y))) |
| 7.0ms | z | @ | inf | ((+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ x y)) (tanh (/ t y))) |
| 7.0ms | t | @ | 0 | ((+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ x y)) (tanh (/ t y))) |
| 6.0ms | y | @ | inf | ((+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ x y)) (tanh (/ t y))) |
| 5.0ms | z | @ | 0 | ((+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ x y)) (tanh (/ t y))) |
| 1× | egg-herbie |
| 13 018× | lower-fma.f64 |
| 13 018× | lower-fma.f32 |
| 4 518× | lower-*.f64 |
| 4 518× | lower-*.f32 |
| 3 606× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 495 | 10076 |
| 1 | 1678 | 7475 |
| 2 | 7001 | 7473 |
| 0 | 8025 | 7285 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
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(/ x y) |
(* -1 (/ (+ (* -1 x) (* -1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (- (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) (* -1/2 (pow x 3))) y)) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (+ (* 1/12 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))))) (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (* 1/2 (* x (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))) y)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))) (* -1/2 (pow x 3))) y)) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) y)) |
(/ t y) |
(* -1 (/ (+ (* -1 t) (* -1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y))) y)) |
(* -1 (/ (+ (* -1 t) (* -1 (/ (+ (* -1 (/ (- (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))) (* -1/2 (pow t 3))) y)) (* 1/2 (+ (* -1 (pow t 2)) (pow t 2)))) y))) y)) |
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(+ (* x (+ 1 (+ (* -1 z) (* 1/3 (/ (* (pow x 2) z) (pow y 2)))))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))) |
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(+ (* x (+ (* -1 z) (* (pow x 2) (+ (* -2/15 (/ (* (pow x 2) z) (pow y 4))) (* 1/3 (/ z (pow y 2))))))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))) |
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(- (+ (* x (- (* (pow x 2) (+ (* -2/15 (/ (pow x 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))) |
(/ x y) |
(* x (+ (* -1/3 (/ (pow x 2) (pow y 3))) (/ 1 y))) |
(* x (+ (* (pow x 2) (- (* 2/15 (/ (pow x 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) |
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x |
(* x (+ 1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x))) |
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x |
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| Outputs |
|---|
(+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
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(+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(fma.f64 (*.f64 z y) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (fma.f64 t z x)) |
(+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
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(+ x (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
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(* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) |
(*.f64 (*.f64 z y) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))) |
(+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(fma.f64 (*.f64 z y) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (*.f64 t z)) |
(+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(fma.f64 (*.f64 z y) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (*.f64 (fma.f64 (*.f64 (*.f64 t t) #s(literal -1/3 binary64)) (/.f64 z (*.f64 y y)) z) t)) |
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(fma.f64 (*.f64 z y) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 t t)) (/.f64 z (pow.f64 y #s(literal 4 binary64))) (*.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64))) (*.f64 t t) z) t)) |
(- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
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(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y)) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(-.f64 (+.f64 (/.f64 t y) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) |
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(- (+ (* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(-.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 2/15 binary64) (pow.f64 y #s(literal 5 binary64))) t) t (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 y y) y))) (*.f64 t t) (/.f64 #s(literal 1 binary64) y)) t (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) |
(/ t y) |
(/.f64 t y) |
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(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))) |
x |
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
(*.f64 (fma.f64 (neg.f64 y) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (/.f64 z x)) #s(literal -1 binary64)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
(*.f64 (fma.f64 (neg.f64 y) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (/.f64 z x)) #s(literal -1 binary64)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
(*.f64 (fma.f64 (neg.f64 y) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (/.f64 z x)) #s(literal -1 binary64)) (neg.f64 x)) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(*.f64 (*.f64 z y) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(*.f64 (*.f64 z y) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(*.f64 (*.f64 z y) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(*.f64 (*.f64 z y) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))) |
| 5 094× | lower-*.f32 |
| 5 090× | lower-*.f64 |
| 4 102× | lower-/.f32 |
| 4 098× | lower-/.f64 |
| 2 936× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 48 |
| 0 | 20 | 48 |
| 1 | 99 | 48 |
| 2 | 871 | 48 |
| 0 | 8208 | 47 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
(*.f64 y z) |
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
(tanh.f64 (/.f64 x y)) |
(tanh.f64 (/.f64 t y)) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) (neg.f64 x)))) |
(*.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) (neg.f64 x)) (*.f64 x x))))) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y))))) |
(*.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)) #s(literal 2 binary64)) (fma.f64 x x (*.f64 (neg.f64 (*.f64 x (*.f64 z y))) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))))) |
(*.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) (neg.f64 x)) (*.f64 x x)))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) x)) |
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(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 t y)))))) (neg.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 t y))) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (/.f64 t y))))) (neg.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 t y))) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 (/.f64 t y)))) (neg.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 (/.f64 t y))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 t y))) #s(literal 1 binary64))) (*.f64 (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 t y))) #s(literal 1 binary64)) (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 t y))))) (pow.f64 (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 t y))) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 t y))) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 t y))) #s(literal 1 binary64))) (*.f64 (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 t y))) #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 t y))) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (/.f64 t y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) (exp.f64 (/.f64 (neg.f64 t) y)))) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 t y))))) (neg.f64 (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 t y))) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (/.f64 t y)))) (neg.f64 (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 t y))) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 (/.f64 t y))) (*.f64 #s(literal -2 binary64) (cosh.f64 (/.f64 t y)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 t y))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 t y)))) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 t y))) #s(literal 1 binary64))) |
(/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (/.f64 t y))) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 t y))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 t y))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 t y)))) |
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 t y))))) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 t y))) #s(literal 1 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (/.f64 t y)))) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 t y))) #s(literal 1 binary64)))) |
(neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 (/.f64 t y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))))) |
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 t y)))) (neg.f64 (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 t y))) #s(literal 1 binary64))))) |
(neg.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (/.f64 t y))) (neg.f64 (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 t y))) #s(literal 1 binary64))))) |
(neg.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y))) (*.f64 #s(literal -2 binary64) (cosh.f64 (/.f64 t y))))) |
(fma.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 t y))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 t y))) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 t y))) #s(literal 1 binary64))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 t y))) #s(literal 1 binary64))) (neg.f64 (/.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 t y))) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 t y))) #s(literal 1 binary64))))) |
(fma.f64 (exp.f64 (/.f64 t y)) (/.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 (/.f64 t y)))) (neg.f64 (/.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 t y))) #s(literal 1 binary64))) (/.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 t y))) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 t y))) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 t y))) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 t y))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 t y))) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (exp.f64 (/.f64 t y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))) (/.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 t y))) #s(literal 1 binary64))) (neg.f64 (/.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 t y))) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 t y))) #s(literal 1 binary64))))) |
(+.f64 (/.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 t y))) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 t y))) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 t y))) #s(literal 1 binary64))))) |
(+.f64 (/.f64 (exp.f64 (/.f64 t y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))) (neg.f64 (/.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))))) |
Compiled 22 911 to 1 945 computations (91.5% saved)
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 502 | 10 | 512 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 503 | 10 | 513 |
| Status | Accuracy | Program |
|---|---|---|
| 97.7% | (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) | |
| ▶ | 98.5% | (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) |
| ▶ | 44.4% | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) (/.f64 x y)))))) |
| 63.7% | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) | |
| ▶ | 64.6% | (+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 45.9% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) | |
| ▶ | 22.8% | (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 (neg.f64 z) (-.f64 t x) (/.f64 (fma.f64 #s(literal 0 binary64) z (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y))) y))))) |
| 21.3% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z (fma.f64 z (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64) (*.f64 (*.f64 t t) t)))) (*.f64 y y)) (/.f64 #s(literal 0 binary64) y)) x))) | |
| ▶ | 60.0% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) |
| 25.6% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (*.f64 z y) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (fma.f64 (fma.f64 (*.f64 (*.f64 t t) #s(literal -1/3 binary64)) (/.f64 z (*.f64 y y)) z) t x))) |
Compiled 556 to 302 computations (45.7% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 y z) | |
| cost-diff | 0 | (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) (/.f64 x y))))) | |
| cost-diff | 128 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) (/.f64 x y)))))) | |
| cost-diff | 320 | (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) (/.f64 x y)) | |
| cost-diff | 0 | (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) | |
| cost-diff | 0 | (*.f64 y z) | |
| cost-diff | 0 | (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) | |
| cost-diff | 128 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))) | |
| cost-diff | 128 | (neg.f64 (fma.f64 (neg.f64 z) (-.f64 t x) (/.f64 (fma.f64 #s(literal 0 binary64) z (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y))) y))) | |
| cost-diff | 384 | (fma.f64 #s(literal 0 binary64) z (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y))) | |
| cost-diff | 384 | (/.f64 (fma.f64 #s(literal 0 binary64) z (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y))) y) | |
| cost-diff | 1152 | (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) | |
| cost-diff | 0 | (-.f64 t x) | |
| cost-diff | 0 | (fma.f64 (-.f64 t x) z x) | |
| cost-diff | 0 | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) | |
| cost-diff | 0 | (tanh.f64 (/.f64 t y)) | |
| cost-diff | 0 | (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) | |
| cost-diff | 0 | (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) | |
| cost-diff | 0 | (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) |
| 7 648× | lower-fma.f32 |
| 7 638× | lower-fma.f64 |
| 6 040× | lower-*.f32 |
| 6 008× | lower-*.f64 |
| 1 698× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 684 |
| 0 | 106 | 679 |
| 1 | 219 | 595 |
| 2 | 512 | 542 |
| 3 | 1528 | 532 |
| 4 | 5296 | 532 |
| 0 | 8655 | 512 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) |
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) |
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
(tanh.f64 (/.f64 t y)) |
(/.f64 t y) |
t |
y |
(tanh.f64 (/.f64 x y)) |
(/.f64 x y) |
x |
z |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) |
(fma.f64 (-.f64 t x) z x) |
(-.f64 t x) |
t |
x |
z |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 (neg.f64 z) (-.f64 t x) (/.f64 (fma.f64 #s(literal 0 binary64) z (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y))) y))))) |
x |
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 (neg.f64 z) (-.f64 t x) (/.f64 (fma.f64 #s(literal 0 binary64) z (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y))) y)))) |
(neg.f64 (fma.f64 (neg.f64 z) (-.f64 t x) (/.f64 (fma.f64 #s(literal 0 binary64) z (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y))) y))) |
(fma.f64 (neg.f64 z) (-.f64 t x) (/.f64 (fma.f64 #s(literal 0 binary64) z (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y))) y)) |
(neg.f64 z) |
z |
(-.f64 t x) |
t |
(/.f64 (fma.f64 #s(literal 0 binary64) z (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y))) y) |
(fma.f64 #s(literal 0 binary64) z (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y))) |
#s(literal 0 binary64) |
(*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y)) |
(-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 x x)) |
#s(literal -1/2 binary64) |
(*.f64 x x) |
(*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64)) |
(*.f64 (*.f64 t t) t) |
(*.f64 t t) |
#s(literal 1/3 binary64) |
(*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x)) |
#s(literal -1/6 binary64) |
(*.f64 (*.f64 x x) x) |
(/.f64 z y) |
y |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
x |
(*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
(*.f64 y z) |
y |
z |
(-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
#s(approx (tanh (/ t y)) (/.f64 t y)) |
(/.f64 t y) |
t |
(tanh.f64 (/.f64 x y)) |
(/.f64 x y) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) (/.f64 x y)))))) |
x |
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) (/.f64 x y))))) |
(*.f64 y z) |
y |
z |
(-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) (/.f64 x y)))) |
(tanh.f64 (/.f64 t y)) |
(/.f64 t y) |
t |
#s(approx (tanh (/ x y)) (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) (/.f64 x y))) |
(fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) (/.f64 x y)) |
(*.f64 x #s(literal -1/3 binary64)) |
#s(literal -1/3 binary64) |
(*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) |
(/.f64 x (*.f64 (*.f64 y y) y)) |
(*.f64 (*.f64 y y) y) |
(*.f64 y y) |
(/.f64 x y) |
| Outputs |
|---|
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) |
(fma.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x) |
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) |
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
(tanh.f64 (/.f64 t y)) |
(/.f64 t y) |
t |
y |
(tanh.f64 (/.f64 x y)) |
(/.f64 x y) |
x |
z |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) |
(fma.f64 (-.f64 t x) z x) |
(-.f64 t x) |
t |
x |
z |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 (neg.f64 z) (-.f64 t x) (/.f64 (fma.f64 #s(literal 0 binary64) z (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y))) y))))) |
(+.f64 #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (fma.f64 (/.f64 z (*.f64 y y)) (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 t t) t) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64))) (*.f64 (-.f64 t x) z))) x) |
x |
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 (neg.f64 z) (-.f64 t x) (/.f64 (fma.f64 #s(literal 0 binary64) z (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y))) y)))) |
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (fma.f64 (/.f64 z (*.f64 y y)) (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 t t) t) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64))) (*.f64 (-.f64 t x) z))) |
(neg.f64 (fma.f64 (neg.f64 z) (-.f64 t x) (/.f64 (fma.f64 #s(literal 0 binary64) z (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y))) y))) |
(fma.f64 (/.f64 z (*.f64 y y)) (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 t t) t) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64))) (*.f64 (-.f64 t x) z)) |
(fma.f64 (neg.f64 z) (-.f64 t x) (/.f64 (fma.f64 #s(literal 0 binary64) z (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y))) y)) |
(fma.f64 (-.f64 x t) z (*.f64 (/.f64 z (*.f64 y y)) (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 t t) t))))) |
(neg.f64 z) |
z |
(-.f64 t x) |
t |
(/.f64 (fma.f64 #s(literal 0 binary64) z (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y))) y) |
(*.f64 (/.f64 z (*.f64 y y)) (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 t t) t)))) |
(fma.f64 #s(literal 0 binary64) z (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y))) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 t t) t))) y) z) |
#s(literal 0 binary64) |
(*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 t t) t))) y) z) |
(-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) |
(fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 t t) t))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) x (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 t t) t))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(*.f64 x x) |
(*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 t t) t)) |
(*.f64 (*.f64 t t) t) |
(*.f64 t t) |
#s(literal 1/3 binary64) |
(*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x)) |
(*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64)) |
#s(literal -1/6 binary64) |
(*.f64 (*.f64 x x) x) |
(/.f64 z y) |
y |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) x) |
x |
(*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
(*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)) |
(*.f64 y z) |
(*.f64 z y) |
y |
z |
(-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
#s(approx (tanh (/ t y)) (/.f64 t y)) |
(/.f64 t y) |
t |
(tanh.f64 (/.f64 x y)) |
(/.f64 x y) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) (/.f64 x y)))))) |
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (*.f64 (fma.f64 (*.f64 (/.f64 x (*.f64 y y)) #s(literal -1/3 binary64)) x #s(literal 1 binary64)) (/.f64 x y)))) (*.f64 z y) x) |
x |
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) (/.f64 x y))))) |
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (*.f64 (fma.f64 (*.f64 (/.f64 x (*.f64 y y)) #s(literal -1/3 binary64)) x #s(literal 1 binary64)) (/.f64 x y)))) (*.f64 z y)) |
(*.f64 y z) |
(*.f64 z y) |
y |
z |
(-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) (/.f64 x y)))) |
(-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (*.f64 (fma.f64 (*.f64 (/.f64 x (*.f64 y y)) #s(literal -1/3 binary64)) x #s(literal 1 binary64)) (/.f64 x y)))) |
(tanh.f64 (/.f64 t y)) |
(/.f64 t y) |
t |
#s(approx (tanh (/ x y)) (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) (/.f64 x y))) |
#s(approx (tanh (/ x y)) (*.f64 (fma.f64 (*.f64 (/.f64 x (*.f64 y y)) #s(literal -1/3 binary64)) x #s(literal 1 binary64)) (/.f64 x y))) |
(fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) (/.f64 x y)) |
(*.f64 (fma.f64 (*.f64 (/.f64 x (*.f64 y y)) #s(literal -1/3 binary64)) x #s(literal 1 binary64)) (/.f64 x y)) |
(*.f64 x #s(literal -1/3 binary64)) |
(*.f64 #s(literal -1/3 binary64) x) |
#s(literal -1/3 binary64) |
(*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) |
(*.f64 (/.f64 x (*.f64 (*.f64 y y) y)) x) |
(/.f64 x (*.f64 (*.f64 y y) y)) |
(*.f64 (*.f64 y y) y) |
(*.f64 y y) |
(/.f64 x y) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 4.371136560729819 | (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) | |
| accuracy | 5.919907234956825 | (/.f64 x (*.f64 (*.f64 y y) y)) | |
| accuracy | 9.355429181562732 | (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) (/.f64 x y)) | |
| accuracy | 30.915469641152065 | #s(approx (tanh (/ x y)) (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) (/.f64 x y))) | |
| accuracy | 0.01171875 | (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) | |
| accuracy | 0.01171875 | (tanh.f64 (/.f64 x y)) | |
| accuracy | 3.9528819226554828 | (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) | |
| accuracy | 31.215617094863354 | #s(approx (tanh (/ t y)) (/.f64 t y)) | |
| accuracy | 4.341306072750451 | (/.f64 (fma.f64 #s(literal 0 binary64) z (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y))) y) | |
| accuracy | 10.124751826655725 | (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y)) | |
| accuracy | 20.667869669849882 | (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) | |
| accuracy | 42.10508731856283 | #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 (neg.f64 z) (-.f64 t x) (/.f64 (fma.f64 #s(literal 0 binary64) z (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y))) y)))) | |
| accuracy | 0 | (fma.f64 (-.f64 t x) z x) | |
| accuracy | 0 | (-.f64 t x) | |
| accuracy | 25.58060264491775 | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) | |
| accuracy | 0.0078125 | (tanh.f64 (/.f64 t y)) | |
| accuracy | 0.01171875 | (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) | |
| accuracy | 0.01171875 | (tanh.f64 (/.f64 x y)) | |
| accuracy | 1.5694729874156887 | (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) |
| 127.0ms | 218× | 0 | valid |
| 29.0ms | 32× | 2 | valid |
| 4.0ms | 6× | 1 | valid |
Compiled 533 to 51 computations (90.4% saved)
ival-mult: 37.0ms (34.1% of total)const: 34.0ms (31.4% of total)ival-div: 13.0ms (12% of total)ival-add: 9.0ms (8.3% of total)adjust: 5.0ms (4.6% of total)ival-sub: 4.0ms (3.7% of total)ival-tanh: 4.0ms (3.7% of total)ival-neg: 2.0ms (1.8% 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 (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) (patch (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) (patch (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) #<representation binary64>) () ()) |
#s(alt (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (patch (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) #<representation binary64>) () ()) |
#s(alt (tanh.f64 (/.f64 t y)) (patch (tanh.f64 (/.f64 t y)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) (patch #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (-.f64 t x) z x) (patch (fma.f64 (-.f64 t x) z x) #<representation binary64>) () ()) |
#s(alt (-.f64 t x) (patch (-.f64 t x) #<representation binary64>) () ()) |
#s(alt (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (patch (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 #s(literal 0 binary64) z (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y))) y) (patch (/.f64 (fma.f64 #s(literal 0 binary64) z (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y))) y) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 0 binary64) z (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y))) (patch (fma.f64 #s(literal 0 binary64) z (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y))) #<representation binary64>) () ()) |
#s(alt (neg.f64 (fma.f64 (neg.f64 z) (-.f64 t x) (/.f64 (fma.f64 #s(literal 0 binary64) z (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y))) y))) (patch (neg.f64 (fma.f64 (neg.f64 z) (-.f64 t x) (/.f64 (fma.f64 #s(literal 0 binary64) z (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y))) y))) #<representation binary64>) () ()) |
#s(alt (+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (patch (+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (patch (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #<representation binary64>) () ()) |
#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (patch (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) (/.f64 x y)) (patch (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) (/.f64 x y)) #<representation binary64>) () ()) |
#s(alt (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) (/.f64 x y)))))) (patch (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) (/.f64 x y)))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) (/.f64 x y))))) (patch (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) (/.f64 x y))))) #<representation binary64>) () ()) |
#s(alt (tanh.f64 (/.f64 x y)) (patch (tanh.f64 (/.f64 x y)) #<representation binary64>) () ()) |
#s(alt #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 (neg.f64 z) (-.f64 t x) (/.f64 (fma.f64 #s(literal 0 binary64) z (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y))) y)))) (patch #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 (neg.f64 z) (-.f64 t x) (/.f64 (fma.f64 #s(literal 0 binary64) z (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y))) y)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y)) (patch (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y)) #<representation binary64>) () ()) |
#s(alt #s(approx (tanh (/ t y)) (/.f64 t y)) (patch #s(approx (tanh (/ t y)) (/.f64 t y)) #<representation binary64>) () ()) |
#s(alt #s(approx (tanh (/ x y)) (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) (/.f64 x y))) (patch #s(approx (tanh (/ x y)) (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) (/.f64 x y))) #<representation binary64>) () ()) |
#s(alt (/.f64 x (*.f64 (*.f64 y y) y)) (patch (/.f64 x (*.f64 (*.f64 y y) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) (patch (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (taylor 0 t) (#s(alt (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) (patch (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor 0 t) (#s(alt (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) (patch (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor 0 t) (#s(alt (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) (patch (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor 0 t) (#s(alt (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) (patch (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (taylor 0 t) (#s(alt (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) (patch (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) #<representation binary64>) () ())) ()) |
#s(alt (+ t (* y (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (taylor 0 t) (#s(alt (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) (patch (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (+ 1 (* -1/3 (/ (pow t 2) (pow y 2))))) (* y (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (taylor 0 t) (#s(alt (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) (patch (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (+ 1 (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 4))) (* 1/3 (/ 1 (pow y 2))))))) (* y (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (taylor 0 t) (#s(alt (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) (patch (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) #<representation binary64>) () ())) ()) |
#s(alt (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (taylor 0 t) (#s(alt (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (patch (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y)) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (taylor 0 t) (#s(alt (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (patch (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (taylor 0 t) (#s(alt (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (patch (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (taylor 0 t) (#s(alt (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (patch (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (/ t y) (taylor 0 t) (#s(alt (tanh.f64 (/.f64 t y)) (patch (tanh.f64 (/.f64 t y)) #<representation binary64>) () ())) ()) |
#s(alt (* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y))) (taylor 0 t) (#s(alt (tanh.f64 (/.f64 t y)) (patch (tanh.f64 (/.f64 t y)) #<representation binary64>) () ())) ()) |
#s(alt (* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) (taylor 0 t) (#s(alt (tanh.f64 (/.f64 t y)) (patch (tanh.f64 (/.f64 t y)) #<representation binary64>) () ())) ()) |
#s(alt (* t (+ (* (pow t 2) (- (* (pow t 2) (+ (* -17/315 (/ (pow t 2) (pow y 7))) (* 2/15 (/ 1 (pow y 5))))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) (taylor 0 t) (#s(alt (tanh.f64 (/.f64 t y)) (patch (tanh.f64 (/.f64 t y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (taylor 0 t) (#s(alt #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) (patch #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor 0 t) (#s(alt #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) (patch #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor 0 t) (#s(alt #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) (patch #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor 0 t) (#s(alt #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) (patch #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* x z))) (taylor 0 t) (#s(alt (fma.f64 (-.f64 t x) z x) (patch (fma.f64 (-.f64 t x) z x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1 (* x z)) (* t z))) (taylor 0 t) (#s(alt (fma.f64 (-.f64 t x) z x) (patch (fma.f64 (-.f64 t x) z x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1 (* x z)) (* t z))) (taylor 0 t) (#s(alt (fma.f64 (-.f64 t x) z x) (patch (fma.f64 (-.f64 t x) z x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1 (* x z)) (* t z))) (taylor 0 t) (#s(alt (fma.f64 (-.f64 t x) z x) (patch (fma.f64 (-.f64 t x) z x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 t) (#s(alt (-.f64 t x) (patch (-.f64 t x) #<representation binary64>) () ())) ()) |
#s(alt (- t x) (taylor 0 t) (#s(alt (-.f64 t x) (patch (-.f64 t x) #<representation binary64>) () ())) ()) |
#s(alt (- t x) (taylor 0 t) (#s(alt (-.f64 t x) (patch (-.f64 t x) #<representation binary64>) () ())) ()) |
#s(alt (- t x) (taylor 0 t) (#s(alt (-.f64 t x) (patch (-.f64 t x) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1/2 (pow x 3)) (* -1/6 (pow x 3))) (taylor 0 t) (#s(alt (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (patch (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -1/2 (pow x 3)) (* 1/3 (pow t 3))) (* -1/6 (pow x 3))) (taylor 0 t) (#s(alt (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (patch (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -1/2 (pow x 3)) (* 1/3 (pow t 3))) (* -1/6 (pow x 3))) (taylor 0 t) (#s(alt (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (patch (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -1/2 (pow x 3)) (* 1/3 (pow t 3))) (* -1/6 (pow x 3))) (taylor 0 t) (#s(alt (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (patch (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* z (- (* -1/2 (pow x 3)) (* -1/6 (pow x 3)))) (pow y 2)) (taylor 0 t) (#s(alt (/.f64 (fma.f64 #s(literal 0 binary64) z (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y))) y) (patch (/.f64 (fma.f64 #s(literal 0 binary64) z (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y))) y) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/3 (/ (* (pow t 3) z) (pow y 2))) (/ (* z (- (* -1/2 (pow x 3)) (* -1/6 (pow x 3)))) (pow y 2))) (taylor 0 t) (#s(alt (/.f64 (fma.f64 #s(literal 0 binary64) z (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y))) y) (patch (/.f64 (fma.f64 #s(literal 0 binary64) z (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y))) y) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/3 (/ (* (pow t 3) z) (pow y 2))) (/ (* z (- (* -1/2 (pow x 3)) (* -1/6 (pow x 3)))) (pow y 2))) (taylor 0 t) (#s(alt (/.f64 (fma.f64 #s(literal 0 binary64) z (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y))) y) (patch (/.f64 (fma.f64 #s(literal 0 binary64) z (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y))) y) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/3 (/ (* (pow t 3) z) (pow y 2))) (/ (* z (- (* -1/2 (pow x 3)) (* -1/6 (pow x 3)))) (pow y 2))) (taylor 0 t) (#s(alt (/.f64 (fma.f64 #s(literal 0 binary64) z (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y))) y) (patch (/.f64 (fma.f64 #s(literal 0 binary64) z (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y))) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* z (- (* -1/2 (pow x 3)) (* -1/6 (pow x 3)))) y) (taylor 0 t) (#s(alt (fma.f64 #s(literal 0 binary64) z (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y))) (patch (fma.f64 #s(literal 0 binary64) z (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/3 (/ (* (pow t 3) z) y)) (/ (* z (- (* -1/2 (pow x 3)) (* -1/6 (pow x 3)))) y)) (taylor 0 t) (#s(alt (fma.f64 #s(literal 0 binary64) z (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y))) (patch (fma.f64 #s(literal 0 binary64) z (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y))) #<representation binary64>) () ())) ()) |
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#s(alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (taylor -inf x) (#s(alt #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 (neg.f64 z) (-.f64 t x) (/.f64 (fma.f64 #s(literal 0 binary64) z (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y))) y)))) (patch #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 (neg.f64 z) (-.f64 t x) (/.f64 (fma.f64 #s(literal 0 binary64) z (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y))) y)))) #<representation binary64>) () ())) ()) |
#s(alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (taylor -inf x) (#s(alt #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 (neg.f64 z) (-.f64 t x) (/.f64 (fma.f64 #s(literal 0 binary64) z (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y))) y)))) (patch #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 (neg.f64 z) (-.f64 t x) (/.f64 (fma.f64 #s(literal 0 binary64) z (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y))) y)))) #<representation binary64>) () ())) ()) |
#s(alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (taylor -inf x) (#s(alt #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 (neg.f64 z) (-.f64 t x) (/.f64 (fma.f64 #s(literal 0 binary64) z (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y))) y)))) (patch #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 (neg.f64 z) (-.f64 t x) (/.f64 (fma.f64 #s(literal 0 binary64) z (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y))) y)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (/ (* (pow x 3) z) y)) (taylor -inf x) (#s(alt (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y)) (patch (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (+ (* -1/3 (/ (* (pow t 3) z) (* (pow x 3) y))) (* 1/3 (/ z y))))) (taylor -inf x) (#s(alt (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y)) (patch (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (+ (* -1/3 (/ (* (pow t 3) z) (* (pow x 3) y))) (* 1/3 (/ z y))))) (taylor -inf x) (#s(alt (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y)) (patch (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (+ (* -1/3 (/ (* (pow t 3) z) (* (pow x 3) y))) (* 1/3 (/ z y))))) (taylor -inf x) (#s(alt (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y)) (patch (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (taylor -inf x) (#s(alt #s(approx (tanh (/ x y)) (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) (/.f64 x y))) (patch #s(approx (tanh (/ x y)) (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (taylor -inf x) (#s(alt #s(approx (tanh (/ x y)) (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) (/.f64 x y))) (patch #s(approx (tanh (/ x y)) (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (taylor -inf x) (#s(alt #s(approx (tanh (/ x y)) (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) (/.f64 x y))) (patch #s(approx (tanh (/ x y)) (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (taylor -inf x) (#s(alt #s(approx (tanh (/ x y)) (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) (/.f64 x y))) (patch #s(approx (tanh (/ x y)) (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 3)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 (*.f64 y y) y)) (patch (/.f64 x (*.f64 (*.f64 y y) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 3)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 (*.f64 y y) y)) (patch (/.f64 x (*.f64 (*.f64 y y) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 3)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 (*.f64 y y) y)) (patch (/.f64 x (*.f64 (*.f64 y y) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 3)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 (*.f64 y y) y)) (patch (/.f64 x (*.f64 (*.f64 y y) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (pow y 3)) (taylor -inf x) (#s(alt (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) (patch (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (pow y 3)) (taylor -inf x) (#s(alt (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) (patch (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (pow y 3)) (taylor -inf x) (#s(alt (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) (patch (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (pow y 3)) (taylor -inf x) (#s(alt (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) (patch (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 34.0ms | y | @ | -inf | ((+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z) x) (* (- (tanh (/ t y)) (tanh (/ x y))) y) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (- t x) (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y) (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (- (tanh (/ t y)) (tanh (/ x y))) (+ (* (* x -1/3) (* x (/ x (* (* y y) y)))) (/ x y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (tanh (/ x y)) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y)) (tanh (/ t y)) (tanh (/ x y)) (/ x (* (* y y) y)) (* x (/ x (* (* y y) y)))) |
| 33.0ms | z | @ | inf | ((+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z) x) (* (- (tanh (/ t y)) (tanh (/ x y))) y) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (- t x) (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y) (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (- (tanh (/ t y)) (tanh (/ x y))) (+ (* (* x -1/3) (* x (/ x (* (* y y) y)))) (/ x y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (tanh (/ x y)) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y)) (tanh (/ t y)) (tanh (/ x y)) (/ x (* (* y y) y)) (* x (/ x (* (* y y) y)))) |
| 22.0ms | t | @ | -inf | ((+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z) x) (* (- (tanh (/ t y)) (tanh (/ x y))) y) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (- t x) (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y) (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (- (tanh (/ t y)) (tanh (/ x y))) (+ (* (* x -1/3) (* x (/ x (* (* y y) y)))) (/ x y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (tanh (/ x y)) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y)) (tanh (/ t y)) (tanh (/ x y)) (/ x (* (* y y) y)) (* x (/ x (* (* y y) y)))) |
| 9.0ms | x | @ | -inf | ((+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z) x) (* (- (tanh (/ t y)) (tanh (/ x y))) y) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (- t x) (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y) (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (- (tanh (/ t y)) (tanh (/ x y))) (+ (* (* x -1/3) (* x (/ x (* (* y y) y)))) (/ x y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (tanh (/ x y)) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y)) (tanh (/ t y)) (tanh (/ x y)) (/ x (* (* y y) y)) (* x (/ x (* (* y y) y)))) |
| 6.0ms | x | @ | inf | ((+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z) x) (* (- (tanh (/ t y)) (tanh (/ x y))) y) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (- t x) (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y) (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (- (tanh (/ t y)) (tanh (/ x y))) (+ (* (* x -1/3) (* x (/ x (* (* y y) y)))) (/ x y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (tanh (/ x y)) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y)) (tanh (/ t y)) (tanh (/ x y)) (/ x (* (* y y) y)) (* x (/ x (* (* y y) y)))) |
| 1× | egg-herbie |
| 14 070× | lower-fma.f64 |
| 14 070× | lower-fma.f32 |
| 5 390× | lower-+.f64 |
| 5 390× | lower-+.f32 |
| 5 330× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 794 | 37534 |
| 1 | 2659 | 28528 |
| 0 | 9068 | 27731 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(* y (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(+ t (* y (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) |
(+ (* t (+ 1 (* -1/3 (/ (pow t 2) (pow y 2))))) (* y (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) |
(+ (* t (+ 1 (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 4))) (* 1/3 (/ 1 (pow y 2))))))) (* y (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) |
(- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y)) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
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(* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) |
(* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) |
(* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
x |
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
(* -1 (* x (- z 1))) |
(* -1 (* x (- (+ z (* -1 (/ (* t z) x))) 1))) |
(* -1 (* x (- (+ z (* -1 (/ (* t z) x))) 1))) |
(* -1 (* x (- (+ z (* -1 (/ (* t z) x))) 1))) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ t x))))) |
(* -1 (* x (+ 1 (* -1 (/ t x))))) |
(* -1 (* x (+ 1 (* -1 (/ t x))))) |
(* -1/3 (pow x 3)) |
(* -1 (* (pow x 3) (+ 1/3 (* -1/3 (/ (pow t 3) (pow x 3)))))) |
(* -1 (* (pow x 3) (+ 1/3 (* -1/3 (/ (pow t 3) (pow x 3)))))) |
(* -1 (* (pow x 3) (+ 1/3 (* -1/3 (/ (pow t 3) (pow x 3)))))) |
(* -1/3 (/ (* (pow x 3) z) (pow y 2))) |
(* -1 (* (pow x 3) (+ (* -1/3 (/ (* (pow t 3) z) (* (pow x 3) (pow y 2)))) (* 1/3 (/ z (pow y 2)))))) |
(* -1 (* (pow x 3) (+ (* -1/3 (/ (* (pow t 3) z) (* (pow x 3) (pow y 2)))) (* 1/3 (/ z (pow y 2)))))) |
(* -1 (* (pow x 3) (+ (* -1/3 (/ (* (pow t 3) z) (* (pow x 3) (pow y 2)))) (* 1/3 (/ z (pow y 2)))))) |
(* -1/3 (/ (* (pow x 3) z) y)) |
(* -1 (* (pow x 3) (+ (* -1/3 (/ (* (pow t 3) z) (* (pow x 3) y))) (* 1/3 (/ z y))))) |
(* -1 (* (pow x 3) (+ (* -1/3 (/ (* (pow t 3) z) (* (pow x 3) y))) (* 1/3 (/ z y))))) |
(* -1 (* (pow x 3) (+ (* -1/3 (/ (* (pow t 3) z) (* (pow x 3) y))) (* 1/3 (/ z y))))) |
(* 1/3 (/ (* (pow x 3) z) (pow y 2))) |
(* -1 (* (pow x 3) (- (/ z (pow x 2)) (* 1/3 (/ z (pow y 2)))))) |
(* -1 (* (pow x 3) (- (+ (* -1 (/ (* t z) (pow x 3))) (* 1/3 (/ (* (pow t 3) z) (* (pow x 3) (pow y 2))))) (+ (* -1 (/ z (pow x 2))) (* 1/3 (/ z (pow y 2))))))) |
(* -1 (* (pow x 3) (- (+ (* -1 (/ (* t z) (pow x 3))) (* 1/3 (/ (* (pow t 3) z) (* (pow x 3) (pow y 2))))) (+ (* -1 (/ z (pow x 2))) (* 1/3 (/ z (pow y 2))))))) |
x |
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(* -1/3 (/ (pow x 3) (pow y 3))) |
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow y 3))) (/ 1 (* (pow x 2) y))))) |
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow y 3))) (/ 1 (* (pow x 2) y))))) |
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow y 3))) (/ 1 (* (pow x 2) y))))) |
x |
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* -1/3 (/ (* (pow x 3) z) y)) |
(* -1 (* (pow x 3) (+ (* -1/3 (/ (* (pow t 3) z) (* (pow x 3) y))) (* 1/3 (/ z y))))) |
(* -1 (* (pow x 3) (+ (* -1/3 (/ (* (pow t 3) z) (* (pow x 3) y))) (* 1/3 (/ z y))))) |
(* -1 (* (pow x 3) (+ (* -1/3 (/ (* (pow t 3) z) (* (pow x 3) y))) (* 1/3 (/ z y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/ x (pow y 3)) |
(/ x (pow y 3)) |
(/ x (pow y 3)) |
(/ x (pow y 3)) |
(/ (pow x 2) (pow y 3)) |
(/ (pow x 2) (pow y 3)) |
(/ (pow x 2) (pow y 3)) |
(/ (pow x 2) (pow y 3)) |
| Outputs |
|---|
(+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(fma.f64 (*.f64 z y) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) x) |
(+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(fma.f64 (*.f64 z y) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (fma.f64 t z x)) |
(+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(fma.f64 (*.f64 z y) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (fma.f64 (fma.f64 (*.f64 (*.f64 t t) #s(literal -1/3 binary64)) (/.f64 z (*.f64 y y)) z) t x)) |
(+ x (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(fma.f64 (*.f64 z y) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 t t)) (/.f64 z (pow.f64 y #s(literal 4 binary64))) (*.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64))) (*.f64 t t) z) t x)) |
(* y (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) y) |
(+ t (* y (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) y t) |
(+ (* t (+ 1 (* -1/3 (/ (pow t 2) (pow y 2))))) (* y (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) y (fma.f64 (*.f64 t #s(literal -1/3 binary64)) (/.f64 (*.f64 t t) (*.f64 y y)) t)) |
(+ (* t (+ 1 (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 4))) (* 1/3 (/ 1 (pow y 2))))))) (* y (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) y (fma.f64 (*.f64 (*.f64 t t) t) (fma.f64 (/.f64 (*.f64 t t) (pow.f64 y #s(literal 4 binary64))) #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) t)) |
(- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y)) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(-.f64 (+.f64 (/.f64 t y) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) |
(- (+ (* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(-.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 t t) (*.f64 (*.f64 y y) y)) #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) y)) t (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) |
(- (+ (* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(-.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 t t) (pow.f64 y #s(literal 5 binary64))) #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 y y) y))) (*.f64 t t) (/.f64 #s(literal 1 binary64) y)) t (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) |
(/ t y) |
(/.f64 t y) |
(* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y))) |
(*.f64 (fma.f64 (/.f64 (*.f64 t t) (*.f64 (*.f64 y y) y)) #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) y)) t) |
(* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) |
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(*.f64 (*.f64 z y) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(*.f64 (*.f64 z y) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))) |
(* -1/3 (/ (* (pow x 3) z) y)) |
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) z) x) y) #s(literal -1/3 binary64)) |
(* -1 (* (pow x 3) (+ (* -1/3 (/ (* (pow t 3) z) (* (pow x 3) y))) (* 1/3 (/ z y))))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 t t) t) z) (*.f64 (*.f64 y x) (*.f64 x x))) #s(literal -1/3 binary64) (*.f64 (/.f64 z y) #s(literal 1/3 binary64)))) |
(* -1 (* (pow x 3) (+ (* -1/3 (/ (* (pow t 3) z) (* (pow x 3) y))) (* 1/3 (/ z y))))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 t t) t) z) (*.f64 (*.f64 y x) (*.f64 x x))) #s(literal -1/3 binary64) (*.f64 (/.f64 z y) #s(literal 1/3 binary64)))) |
(* -1 (* (pow x 3) (+ (* -1/3 (/ (* (pow t 3) z) (* (pow x 3) y))) (* 1/3 (/ z y))))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 t t) t) z) (*.f64 (*.f64 y x) (*.f64 x x))) #s(literal -1/3 binary64) (*.f64 (/.f64 z y) #s(literal 1/3 binary64)))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))) |
(/ x (pow y 3)) |
(/.f64 x (*.f64 (*.f64 y y) y)) |
(/ x (pow y 3)) |
(/.f64 x (*.f64 (*.f64 y y) y)) |
(/ x (pow y 3)) |
(/.f64 x (*.f64 (*.f64 y y) y)) |
(/ x (pow y 3)) |
(/.f64 x (*.f64 (*.f64 y y) y)) |
(/ (pow x 2) (pow y 3)) |
(/.f64 (*.f64 x x) (*.f64 (*.f64 y y) y)) |
(/ (pow x 2) (pow y 3)) |
(/.f64 (*.f64 x x) (*.f64 (*.f64 y y) y)) |
(/ (pow x 2) (pow y 3)) |
(/.f64 (*.f64 x x) (*.f64 (*.f64 y y) y)) |
(/ (pow x 2) (pow y 3)) |
(/.f64 (*.f64 x x) (*.f64 (*.f64 y y) y)) |
| 4 184× | lower-*.f32 |
| 4 152× | lower-*.f64 |
| 3 812× | lower-/.f32 |
| 3 806× | lower-fma.f32 |
| 3 802× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 446 |
| 0 | 104 | 401 |
| 1 | 410 | 389 |
| 2 | 3378 | 389 |
| 0 | 8667 | 375 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) |
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) |
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
(tanh.f64 (/.f64 t y)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) |
(fma.f64 (-.f64 t x) z x) |
(-.f64 t x) |
(-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) |
(/.f64 (fma.f64 #s(literal 0 binary64) z (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y))) y) |
(fma.f64 #s(literal 0 binary64) z (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y))) |
(neg.f64 (fma.f64 (neg.f64 z) (-.f64 t x) (/.f64 (fma.f64 #s(literal 0 binary64) z (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y))) y))) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
(*.f64 y z) |
(-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
(fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) (/.f64 x y)) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) (/.f64 x y)))))) |
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) (/.f64 x y))))) |
(tanh.f64 (/.f64 x y)) |
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 (neg.f64 z) (-.f64 t x) (/.f64 (fma.f64 #s(literal 0 binary64) z (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y))) y)))) |
(*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y)) |
#s(approx (tanh (/ t y)) (/.f64 t y)) |
#s(approx (tanh (/ x y)) (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) (/.f64 x y))) |
(/.f64 x (*.f64 (*.f64 y y) y)) |
(*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x)))) |
(*.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (fma.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x)) (*.f64 x x)))) |
(*.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64))))) |
(pow.f64 (/.f64 (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (*.f64 x x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (fma.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x)) (*.f64 x x)) (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64))) (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (fma.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x)) (*.f64 x x))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (fma.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x)) (*.f64 x x)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64))) (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (*.f64 x x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (fma.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x)) (*.f64 x x)) (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64))) (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64)))))) |
(/.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (fma.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x)) (*.f64 x x))) |
(/.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (fma.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x)) (*.f64 x x)) (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64))) (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64))))) |
(fma.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y x) |
(fma.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x) |
(fma.f64 z (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) x) |
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(fma.f64 z (*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) x (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 t t) t))))) #s(literal 0 binary64)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (/.f64 z y) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) x (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 t t) t))))))) (neg.f64 (*.f64 (/.f64 z y) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) x (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 t t) t))))))) |
(+.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/2 binary64)) (/.f64 z y)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 t t) t) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y))) |
(+.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) x (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 t t) t))) (/.f64 z y)) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)) (/.f64 z y))) |
(+.f64 (*.f64 (/.f64 z y) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/2 binary64))) (*.f64 (/.f64 z y) (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 t t) t) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x))))) |
(+.f64 (*.f64 (/.f64 z y) (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) x (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 t t) t)))) (*.f64 (/.f64 z y) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)))) |
(+.f64 #s(literal 0 binary64) (*.f64 (/.f64 z y) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) x (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 t t) t)))))) |
(+.f64 (*.f64 (/.f64 z y) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) x (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 t t) t))))) #s(literal 0 binary64)) |
#s(approx (tanh (/ t y)) (/.f64 t y)) |
#s(approx (tanh (/ x y)) (*.f64 x (fma.f64 (*.f64 (/.f64 x (*.f64 (*.f64 y y) y)) x) #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 x y)) |
(*.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y)) x) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y y))) |
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (*.f64 y y)))) |
(*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (*.f64 y y) y))) |
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))) |
(pow.f64 (/.f64 y (/.f64 x (*.f64 y y))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 y y) y) x) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (*.f64 y y) y) x) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (/.f64 x (*.f64 y y)))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (*.f64 (neg.f64 y) (*.f64 y y))))) |
(/.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (*.f64 (neg.f64 y) (*.f64 y y))) |
(/.f64 (neg.f64 (/.f64 x (*.f64 y y))) (neg.f64 y)) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (*.f64 (neg.f64 y) (*.f64 y y)))) |
(/.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 y y) y)) |
(/.f64 (/.f64 x (*.f64 y y)) y) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (/.f64 x (*.f64 y y))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 (*.f64 y y) y) x) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 y y) y) x))) |
(/.f64 (neg.f64 x) (*.f64 (neg.f64 y) (*.f64 y y))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 (*.f64 y y) y) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x (*.f64 y y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 y y) y) x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) y) x)) |
(/.f64 (/.f64 (neg.f64 x) y) (neg.f64 (*.f64 y y))) |
(/.f64 (/.f64 x y) (*.f64 y y)) |
(/.f64 x (*.f64 (*.f64 y y) y)) |
(neg.f64 (/.f64 (neg.f64 x) (*.f64 (*.f64 y y) y))) |
(neg.f64 (/.f64 x (*.f64 (neg.f64 y) (*.f64 y y)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (*.f64 y y) y) x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 x (*.f64 y y)) (/.f64 x y)) |
(*.f64 (/.f64 x (*.f64 (*.f64 y y) y)) x) |
(*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))) |
(*.f64 (/.f64 x y) (/.f64 x (*.f64 y y))) |
(*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) |
(pow.f64 (/.f64 (*.f64 (*.f64 y y) y) (*.f64 x x)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 (*.f64 x x) y)) (neg.f64 (*.f64 y y))) |
(/.f64 (neg.f64 (*.f64 (/.f64 x (*.f64 y y)) x)) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 x (/.f64 x (*.f64 y y)))) (neg.f64 y)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 x x))) (neg.f64 (*.f64 (neg.f64 y) (*.f64 y y)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) x)) (neg.f64 (*.f64 (neg.f64 y) (*.f64 y y)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 (*.f64 (*.f64 y y) y) x))) |
(/.f64 (neg.f64 (*.f64 x (neg.f64 x))) (neg.f64 (*.f64 (neg.f64 y) (*.f64 y y)))) |
(/.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 (*.f64 y y) y) x))) |
(/.f64 (/.f64 (*.f64 x x) y) (*.f64 y y)) |
(/.f64 (*.f64 (/.f64 x (*.f64 y y)) x) y) |
(/.f64 (*.f64 x (/.f64 x (*.f64 y y))) y) |
(/.f64 (neg.f64 (/.f64 (*.f64 x x) (*.f64 y y))) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 x x)) (*.f64 (neg.f64 y) (*.f64 y y))) |
(/.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 y) (*.f64 y y))) |
(/.f64 (*.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 (*.f64 y y) y) x)) |
(/.f64 (*.f64 x (neg.f64 x)) (*.f64 (neg.f64 y) (*.f64 y y))) |
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 y y) y) x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 y y) y) (*.f64 x x)))) |
(/.f64 (/.f64 (*.f64 x x) (*.f64 y y)) y) |
(/.f64 (neg.f64 x) (neg.f64 (/.f64 (*.f64 (*.f64 y y) y) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) y) (*.f64 x x))) |
(/.f64 (*.f64 x x) (*.f64 (*.f64 y y) y)) |
(/.f64 x (/.f64 (*.f64 (*.f64 y y) y) x)) |
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal 3 binary64)))) |
Compiled 82 693 to 4 656 computations (94.4% saved)
25 alts after pruning (23 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 770 | 21 | 1 791 |
| Fresh | 3 | 2 | 5 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 776 | 25 | 1 801 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 98.5% | (fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) z x) |
| 64.6% | (fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) x) | |
| ✓ | 98.5% | (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) |
| 68.3% | (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) | |
| 48.7% | (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (*.f64 x (fma.f64 (*.f64 (/.f64 x (*.f64 (*.f64 y y) y)) x) #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) y))))) z) y x) | |
| ▶ | 50.2% | (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x) |
| 59.3% | (+.f64 x (fma.f64 (*.f64 z y) #s(approx (tanh (/ t y)) (/.f64 t y)) (*.f64 (*.f64 z y) (neg.f64 (tanh.f64 (/.f64 x y)))))) | |
| 41.8% | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (/.f64 (/.f64 (*.f64 x x) (*.f64 y y)) y) (/.f64 x y)))))) | |
| 63.7% | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) | |
| 45.9% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) | |
| ▶ | 21.5% | (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 t t))) t) (*.f64 t t))))) |
| 22.0% | (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (*.f64 (*.f64 t t) t) #s(literal -1/3 binary64)) (/.f64 z (*.f64 y y)))))) | |
| ▶ | 15.9% | (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 x x)) (/.f64 z (*.f64 y y)))))) |
| 27.3% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) (-.f64 t x)) (fma.f64 x (+.f64 x t) (*.f64 t t))) z x)) | |
| 41.3% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (+.f64 x t)) z x)) | |
| ✓ | 60.0% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) |
| 41.3% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 x t))) z x)) | |
| 30.0% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (-.f64 t x) z) z) (-.f64 t x))) (-.f64 x (*.f64 (-.f64 t x) z)))) | |
| 30.7% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (*.f64 (fma.f64 (-.f64 t x) z x) (fma.f64 (-.f64 t x) z (neg.f64 x))) (fma.f64 (-.f64 t x) z (neg.f64 x)))) | |
| 57.0% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 (-.f64 (/.f64 (*.f64 t z) x) z) x x))) | |
| 49.9% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (-.f64 x (*.f64 z x)))) | |
| 48.4% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (fma.f64 (neg.f64 x) (/.f64 z t) (+.f64 (/.f64 x t) z)) t))) | |
| 46.4% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 (+.f64 (/.f64 x z) t) x) z))) | |
| 26.3% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))) | |
| ▶ | 18.9% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z))) |
Compiled 959 to 499 computations (48% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 t t))) t) (*.f64 t t))) | |
| cost-diff | 0 | #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 t t))) t) (*.f64 t t)))) | |
| cost-diff | 0 | (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 t t))) t) (*.f64 t t))))) | |
| cost-diff | 320 | (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 t t))) t) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 x x)) (/.f64 z (*.f64 y y))) | |
| cost-diff | 0 | #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 x x)) (/.f64 z (*.f64 y y)))) | |
| cost-diff | 0 | #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 x x)) (/.f64 z (*.f64 y y))))) | |
| cost-diff | 0 | (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 x x)) (/.f64 z (*.f64 y y)))))) | |
| cost-diff | 0 | (/.f64 (-.f64 t x) y) | |
| cost-diff | 0 | #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) | |
| cost-diff | 0 | (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) | |
| cost-diff | 0 | (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x) | |
| cost-diff | 0 | (*.f64 t z) | |
| cost-diff | 0 | #s(approx (+ (* (- t x) z) x) (*.f64 t z)) | |
| cost-diff | 0 | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z))) | |
| cost-diff | 0 | (/.f64 t y) | |
| cost-diff | 0 | (tanh.f64 (/.f64 t y)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) z x) | |
| cost-diff | 320 | (fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) |
| 6 004× | lower-fma.f32 |
| 5 996× | lower-fma.f64 |
| 5 570× | lower-*.f32 |
| 5 548× | lower-*.f64 |
| 1 646× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 674 |
| 0 | 102 | 658 |
| 1 | 227 | 579 |
| 2 | 569 | 543 |
| 3 | 1698 | 543 |
| 4 | 5486 | 542 |
| 0 | 8552 | 527 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) z x) |
(fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) |
(tanh.f64 (/.f64 t y)) |
(/.f64 t y) |
t |
y |
(*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y) |
(neg.f64 (tanh.f64 (/.f64 x y))) |
(tanh.f64 (/.f64 x y)) |
(/.f64 x y) |
x |
z |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z))) |
#s(approx (+ (* (- t x) z) x) (*.f64 t z)) |
(*.f64 t z) |
t |
z |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x) |
(*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) |
(/.f64 (-.f64 t x) y) |
(-.f64 t x) |
t |
x |
y |
z |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 x x)) (/.f64 z (*.f64 y y)))))) |
x |
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 x x)) (/.f64 z (*.f64 y y))))) |
#s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 x x)) (/.f64 z (*.f64 y y)))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 x x)) (/.f64 z (*.f64 y y))) |
(*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 x x)) |
(*.f64 #s(literal 1/3 binary64) x) |
#s(literal 1/3 binary64) |
(*.f64 x x) |
(/.f64 z (*.f64 y y)) |
z |
(*.f64 y y) |
y |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 t t))) t) (*.f64 t t))))) |
x |
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 t t))) t) (*.f64 t t)))) |
#s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 t t))) t) (*.f64 t t))) |
(*.f64 (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 t t))) t) (*.f64 t t)) |
(*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 t t))) t) |
(fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 t t))) |
(/.f64 z (*.f64 y y)) |
z |
(*.f64 y y) |
y |
#s(literal -1/3 binary64) |
(/.f64 z (*.f64 t t)) |
(*.f64 t t) |
t |
| Outputs |
|---|
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) z x) |
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) x) |
(fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) |
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) |
(tanh.f64 (/.f64 t y)) |
(/.f64 t y) |
t |
y |
(*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y) |
(*.f64 (neg.f64 y) (tanh.f64 (/.f64 x y))) |
(neg.f64 (tanh.f64 (/.f64 x y))) |
(tanh.f64 (/.f64 x y)) |
(/.f64 x y) |
x |
z |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 z t))) |
#s(approx (+ (* (- t x) z) x) (*.f64 t z)) |
#s(approx (+ (* (- t x) z) x) (*.f64 z t)) |
(*.f64 t z) |
(*.f64 z t) |
t |
z |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x) |
(fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 z y) x) |
(*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) |
(/.f64 (-.f64 t x) y) |
(-.f64 t x) |
t |
x |
y |
z |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 x x)) (/.f64 z (*.f64 y y)))))) |
(+.f64 #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (*.f64 (*.f64 z x) x) #s(literal 1/3 binary64)) (/.f64 x (*.f64 y y))))) x) |
x |
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 x x)) (/.f64 z (*.f64 y y))))) |
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (*.f64 (*.f64 z x) x) #s(literal 1/3 binary64)) (/.f64 x (*.f64 y y))))) |
#s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 x x)) (/.f64 z (*.f64 y y)))) |
#s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (*.f64 (*.f64 z x) x) #s(literal 1/3 binary64)) (/.f64 x (*.f64 y y)))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 x x)) (/.f64 z (*.f64 y y))) |
(*.f64 (*.f64 (*.f64 (*.f64 z x) x) #s(literal 1/3 binary64)) (/.f64 x (*.f64 y y))) |
(*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) x) |
#s(literal 1/3 binary64) |
(*.f64 x x) |
(/.f64 z (*.f64 y y)) |
z |
(*.f64 y y) |
y |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 t t))) t) (*.f64 t t))))) |
(+.f64 #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (fma.f64 (*.f64 (/.f64 z (*.f64 y y)) t) #s(literal -1/3 binary64) (/.f64 z t)) (*.f64 t t)))) x) |
x |
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 t t))) t) (*.f64 t t)))) |
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (fma.f64 (*.f64 (/.f64 z (*.f64 y y)) t) #s(literal -1/3 binary64) (/.f64 z t)) (*.f64 t t)))) |
#s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 t t))) t) (*.f64 t t))) |
#s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (fma.f64 (*.f64 (/.f64 z (*.f64 y y)) t) #s(literal -1/3 binary64) (/.f64 z t)) (*.f64 t t))) |
(*.f64 (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 t t))) t) (*.f64 t t)) |
(*.f64 (fma.f64 (*.f64 (/.f64 z (*.f64 y y)) t) #s(literal -1/3 binary64) (/.f64 z t)) (*.f64 t t)) |
(*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 t t))) t) |
(fma.f64 (*.f64 (/.f64 z (*.f64 y y)) t) #s(literal -1/3 binary64) (/.f64 z t)) |
(fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 t t))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 t t))) |
(/.f64 z (*.f64 y y)) |
z |
(*.f64 y y) |
y |
#s(literal -1/3 binary64) |
(/.f64 z (*.f64 t t)) |
(*.f64 t t) |
t |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 11.523237654242639 | (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 t t))) t) | |
| accuracy | 15.341339889379137 | (*.f64 (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 t t))) t) (*.f64 t t)) | |
| accuracy | 27.524505637011252 | #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 t t))) t) (*.f64 t t))) | |
| accuracy | 42.10508731856283 | #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 t t))) t) (*.f64 t t)))) | |
| accuracy | 7.303034376246913 | (/.f64 z (*.f64 y y)) | |
| accuracy | 14.777744285444937 | (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 x x)) (/.f64 z (*.f64 y y))) | |
| accuracy | 38.134334921528854 | #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 x x)) (/.f64 z (*.f64 y y)))) | |
| accuracy | 42.10508731856283 | #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 x x)) (/.f64 z (*.f64 y y))))) | |
| accuracy | 0.00390625 | (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x) | |
| accuracy | 0.01171875 | (/.f64 (-.f64 t x) y) | |
| accuracy | 1.5694729874156887 | (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) | |
| accuracy | 40.89895887476097 | #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) | |
| accuracy | 0 | (*.f64 t z) | |
| accuracy | 25.58060264491775 | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z))) | |
| accuracy | 36.01391505060336 | #s(approx (+ (* (- t x) z) x) (*.f64 t z)) | |
| accuracy | 0.0078125 | (tanh.f64 (/.f64 t y)) | |
| accuracy | 0.01171875 | (tanh.f64 (/.f64 x y)) | |
| accuracy | 1.2876329410947556 | (fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) | |
| accuracy | 6.423764522101811 | (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y) |
| 134.0ms | 218× | 0 | valid |
| 69.0ms | 32× | 2 | valid |
| 5.0ms | 6× | 1 | valid |
Compiled 382 to 62 computations (83.8% saved)
ival-mult: 41.0ms (31.9% of total)ival-sub: 33.0ms (25.7% of total)ival-div: 14.0ms (10.9% of total)ival-add: 11.0ms (8.6% of total)const: 10.0ms (7.8% of total)ival-neg: 8.0ms (6.2% of total)adjust: 6.0ms (4.7% of total)ival-tanh: 3.0ms (2.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) (patch (fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) z x) (patch (fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) z x) #<representation binary64>) () ()) |
#s(alt (tanh.f64 (/.f64 t y)) (patch (tanh.f64 (/.f64 t y)) #<representation binary64>) () ()) |
#s(alt (/.f64 t y) (patch (/.f64 t y) #<representation binary64>) () ()) |
#s(alt #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z))) (patch #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (- t x) z) x) (*.f64 t z)) (patch #s(approx (+ (* (- t x) z) x) (*.f64 t z)) #<representation binary64>) () ()) |
#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x) (patch (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) (patch (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) #<representation binary64>) () ()) |
#s(alt #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (patch #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 t x) y) (patch (/.f64 (-.f64 t x) y) #<representation binary64>) () ()) |
#s(alt (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 x x)) (/.f64 z (*.f64 y y)))))) (patch (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 x x)) (/.f64 z (*.f64 y y)))))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 x x)) (/.f64 z (*.f64 y y))))) (patch #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 x x)) (/.f64 z (*.f64 y y))))) #<representation binary64>) () ()) |
#s(alt #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 x x)) (/.f64 z (*.f64 y y)))) (patch #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 x x)) (/.f64 z (*.f64 y y)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 x x)) (/.f64 z (*.f64 y y))) (patch (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 x x)) (/.f64 z (*.f64 y y))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 t t))) t) (patch (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 t t))) t) #<representation binary64>) () ()) |
#s(alt (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 t t))) t) (*.f64 t t))))) (patch (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 t t))) t) (*.f64 t t))))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 t t))) t) (*.f64 t t)))) (patch #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 t t))) t) (*.f64 t t)))) #<representation binary64>) () ()) |
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#s(alt (tanh.f64 (/.f64 x y)) (patch (tanh.f64 (/.f64 x y)) #<representation binary64>) () ()) |
#s(alt (/.f64 z (*.f64 y y)) (patch (/.f64 z (*.f64 y y)) #<representation binary64>) () ()) |
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| Outputs |
|---|
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#s(alt (* -1 (* (pow x 3) (- (/ z (pow x 2)) (* 1/3 (/ z (pow y 2)))))) (taylor -inf x) (#s(alt #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 t t))) t) (*.f64 t t))) (patch #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 t t))) t) (*.f64 t t))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- (+ (* -1 (/ (* t z) (pow x 3))) (* 1/3 (/ (* (pow t 3) z) (* (pow x 3) (pow y 2))))) (+ (* -1 (/ z (pow x 2))) (* 1/3 (/ z (pow y 2))))))) (taylor -inf x) (#s(alt #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 t t))) t) (*.f64 t t))) (patch #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 t t))) t) (*.f64 t t))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- (+ (* -1 (/ (* t z) (pow x 3))) (* 1/3 (/ (* (pow t 3) z) (* (pow x 3) (pow y 2))))) (+ (* -1 (/ z (pow x 2))) (* 1/3 (/ z (pow y 2))))))) (taylor -inf x) (#s(alt #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 t t))) t) (*.f64 t t))) (patch #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 t t))) t) (*.f64 t t))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (taylor -inf x) (#s(alt (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y) (patch (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (taylor -inf x) (#s(alt (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y) (patch (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (taylor -inf x) (#s(alt (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y) (patch (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (taylor -inf x) (#s(alt (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y) (patch (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (taylor -inf x) (#s(alt (tanh.f64 (/.f64 x y)) (patch (tanh.f64 (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (taylor -inf x) (#s(alt (tanh.f64 (/.f64 x y)) (patch (tanh.f64 (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (taylor -inf x) (#s(alt (tanh.f64 (/.f64 x y)) (patch (tanh.f64 (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (taylor -inf x) (#s(alt (tanh.f64 (/.f64 x y)) (patch (tanh.f64 (/.f64 x y)) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 36.0ms | z | @ | -inf | ((+ (* (tanh (/ t y)) y) (* (neg (tanh (/ x y))) y)) (+ (* (+ (* (tanh (/ t y)) y) (* (neg (tanh (/ x y))) y)) z) x) (tanh (/ t y)) (/ t y) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (* t z) (+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z) x) (* (- (tanh (/ t y)) (tanh (/ x y))) y) (- (tanh (/ t y)) (tanh (/ x y))) (/ (- t x) y) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (* (* (* 1/3 x) (* x x)) (/ z (* y y))) (* (+ (* (/ z (* y y)) -1/3) (/ z (* t t))) t) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (* (neg (tanh (/ x y))) y) (tanh (/ x y)) (/ z (* y y)) (* (* (+ (* (/ z (* y y)) -1/3) (/ z (* t t))) t) (* t t))) |
| 32.0ms | y | @ | -inf | ((+ (* (tanh (/ t y)) y) (* (neg (tanh (/ x y))) y)) (+ (* (+ (* (tanh (/ t y)) y) (* (neg (tanh (/ x y))) y)) z) x) (tanh (/ t y)) (/ t y) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (* t z) (+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z) x) (* (- (tanh (/ t y)) (tanh (/ x y))) y) (- (tanh (/ t y)) (tanh (/ x y))) (/ (- t x) y) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (* (* (* 1/3 x) (* x x)) (/ z (* y y))) (* (+ (* (/ z (* y y)) -1/3) (/ z (* t t))) t) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (* (neg (tanh (/ x y))) y) (tanh (/ x y)) (/ z (* y y)) (* (* (+ (* (/ z (* y y)) -1/3) (/ z (* t t))) t) (* t t))) |
| 16.0ms | x | @ | -inf | ((+ (* (tanh (/ t y)) y) (* (neg (tanh (/ x y))) y)) (+ (* (+ (* (tanh (/ t y)) y) (* (neg (tanh (/ x y))) y)) z) x) (tanh (/ t y)) (/ t y) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (* t z) (+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z) x) (* (- (tanh (/ t y)) (tanh (/ x y))) y) (- (tanh (/ t y)) (tanh (/ x y))) (/ (- t x) y) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (* (* (* 1/3 x) (* x x)) (/ z (* y y))) (* (+ (* (/ z (* y y)) -1/3) (/ z (* t t))) t) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (* (neg (tanh (/ x y))) y) (tanh (/ x y)) (/ z (* y y)) (* (* (+ (* (/ z (* y y)) -1/3) (/ z (* t t))) t) (* t t))) |
| 8.0ms | t | @ | inf | ((+ (* (tanh (/ t y)) y) (* (neg (tanh (/ x y))) y)) (+ (* (+ (* (tanh (/ t y)) y) (* (neg (tanh (/ x y))) y)) z) x) (tanh (/ t y)) (/ t y) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (* t z) (+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z) x) (* (- (tanh (/ t y)) (tanh (/ x y))) y) (- (tanh (/ t y)) (tanh (/ x y))) (/ (- t x) y) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (* (* (* 1/3 x) (* x x)) (/ z (* y y))) (* (+ (* (/ z (* y y)) -1/3) (/ z (* t t))) t) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (* (neg (tanh (/ x y))) y) (tanh (/ x y)) (/ z (* y y)) (* (* (+ (* (/ z (* y y)) -1/3) (/ z (* t t))) t) (* t t))) |
| 7.0ms | z | @ | 0 | ((+ (* (tanh (/ t y)) y) (* (neg (tanh (/ x y))) y)) (+ (* (+ (* (tanh (/ t y)) y) (* (neg (tanh (/ x y))) y)) z) x) (tanh (/ t y)) (/ t y) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (* t z) (+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z) x) (* (- (tanh (/ t y)) (tanh (/ x y))) y) (- (tanh (/ t y)) (tanh (/ x y))) (/ (- t x) y) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (* (* (* 1/3 x) (* x x)) (/ z (* y y))) (* (+ (* (/ z (* y y)) -1/3) (/ z (* t t))) t) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (* (neg (tanh (/ x y))) y) (tanh (/ x y)) (/ z (* y y)) (* (* (+ (* (/ z (* y y)) -1/3) (/ z (* t t))) t) (* t t))) |
| 1× | egg-herbie |
| 13 136× | lower-fma.f64 |
| 13 136× | lower-fma.f32 |
| 6 934× | lower-+.f64 |
| 6 934× | lower-+.f32 |
| 4 710× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 914 | 34950 |
| 1 | 3051 | 30466 |
| 0 | 9025 | 29682 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(+ t (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (* t (+ 1 (* -1/3 (/ (pow t 2) (pow y 2)))))) |
(+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (* t (+ 1 (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 4))) (* 1/3 (/ 1 (pow y 2)))))))) |
(+ x (* -1 (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(+ x (+ (* -1 (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (* t z))) |
(+ x (+ (* -1 (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))))) |
(+ x (+ (* -1 (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))))) |
(/ t y) |
(* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y))) |
(* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) |
(* t (+ (* (pow t 2) (- (* (pow t 2) (+ (* -17/315 (/ (pow t 2) (pow y 7))) (* 2/15 (/ 1 (pow y 5))))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t y) |
(+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (* -1 (* x z))) |
(+ x (+ (* -1 (* x z)) (* t z))) |
(+ x (+ (* -1 (* x z)) (* t z))) |
(+ x (+ (* -1 (* x z)) (* t z))) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(* y (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(+ t (* y (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) |
(+ (* t (+ 1 (* -1/3 (/ (pow t 2) (pow y 2))))) (* y (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) |
(+ (* t (+ 1 (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 4))) (* 1/3 (/ 1 (pow y 2))))))) (* y (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) |
(- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y)) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(- (+ (* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(- (+ (* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(* -1 (/ x y)) |
(+ (* -1 (/ x y)) (/ t y)) |
(+ (* -1 (/ x y)) (/ t y)) |
(+ (* -1 (/ x y)) (/ t y)) |
(+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) |
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(/ z (pow y 2)) |
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(/ t y) |
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(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
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(* 1/3 (/ (* (pow x 3) z) (pow y 2))) |
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(* (pow x 3) (- (* -1 (/ (+ (* -1 (* t z)) (* 1/3 (/ (* (pow t 3) z) (pow y 2)))) (pow x 3))) (+ (* -1/3 (/ z (pow y 2))) (/ z (pow x 2))))) |
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(* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) |
(+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) |
(+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) |
(+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) |
x |
(* -1 (* x (- (* -1 (/ (* z (+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* z (+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* z (+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
(* -1 (* x (- z 1))) |
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(* -1 (* x (- (+ z (* -1 (/ (* t z) x))) 1))) |
(* -1 (* x (- (+ z (* -1 (/ (* t z) x))) 1))) |
x |
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
(* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) |
(* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) |
(* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) |
(* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
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(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(* -1 (/ x y)) |
(* -1 (* x (+ (* -1 (/ t (* x y))) (/ 1 y)))) |
(* -1 (* x (+ (* -1 (/ t (* x y))) (/ 1 y)))) |
(* -1 (* x (+ (* -1 (/ t (* x y))) (/ 1 y)))) |
x |
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
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(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* 1/3 (/ (* (pow x 3) z) (pow y 2))) |
(* -1 (* (pow x 3) (- (/ z (pow x 2)) (* 1/3 (/ z (pow y 2)))))) |
(* -1 (* (pow x 3) (- (+ (* -1 (/ (* t z) (pow x 3))) (* 1/3 (/ (* (pow t 3) z) (* (pow x 3) (pow y 2))))) (+ (* -1 (/ z (pow x 2))) (* 1/3 (/ z (pow y 2))))))) |
(* -1 (* (pow x 3) (- (+ (* -1 (/ (* t z) (pow x 3))) (* 1/3 (/ (* (pow t 3) z) (* (pow x 3) (pow y 2))))) (+ (* -1 (/ z (pow x 2))) (* 1/3 (/ z (pow y 2))))))) |
(* 1/3 (/ (* (pow x 3) z) (pow y 2))) |
(* 1/3 (/ (* (pow x 3) z) (pow y 2))) |
(* 1/3 (/ (* (pow x 3) z) (pow y 2))) |
(* 1/3 (/ (* (pow x 3) z) (pow y 2))) |
x |
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* 1/3 (/ (* (pow x 3) z) (pow y 2))) |
(* -1 (* (pow x 3) (- (/ z (pow x 2)) (* 1/3 (/ z (pow y 2)))))) |
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(* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
| Outputs |
|---|
(* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(*.f64 (neg.f64 y) (/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) |
(+ t (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(fma.f64 (neg.f64 y) (/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))) t) |
(+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (* t (+ 1 (* -1/3 (/ (pow t 2) (pow y 2)))))) |
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(+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (* t (+ 1 (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 4))) (* 1/3 (/ 1 (pow y 2)))))))) |
(fma.f64 (neg.f64 y) (/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))) (*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 t t) (pow.f64 y #s(literal 4 binary64))) #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (*.f64 t t) #s(literal 1 binary64)) t)) |
(+ x (* -1 (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
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(+ x (+ (* -1 (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (* t z))) |
(fma.f64 (neg.f64 y) (/.f64 (*.f64 z (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))) (fma.f64 z t x)) |
(+ x (+ (* -1 (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))))) |
(fma.f64 (neg.f64 y) (/.f64 (*.f64 z (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))) (fma.f64 (fma.f64 (*.f64 (*.f64 t t) (/.f64 z (*.f64 y y))) #s(literal -1/3 binary64) z) t x)) |
(+ x (+ (* -1 (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))))) |
(fma.f64 (neg.f64 y) (/.f64 (*.f64 z (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 t t) (/.f64 z (pow.f64 y #s(literal 4 binary64)))) #s(literal 2/15 binary64) (*.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64))) (*.f64 t t) z) t x)) |
(/ t y) |
(/.f64 t y) |
(* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y))) |
(*.f64 (fma.f64 (/.f64 (*.f64 t t) (*.f64 (*.f64 y y) y)) #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) y)) t) |
(* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 t t) (pow.f64 y #s(literal 5 binary64))) #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 y y) y))) (*.f64 t t) (/.f64 #s(literal 1 binary64) y)) t) |
(* t (+ (* (pow t 2) (- (* (pow t 2) (+ (* -17/315 (/ (pow t 2) (pow y 7))) (* 2/15 (/ 1 (pow y 5))))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 t t) (pow.f64 y #s(literal 7 binary64))) #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (pow.f64 y #s(literal 5 binary64)))) (*.f64 t t) (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 y y) y))) (*.f64 t t) (/.f64 #s(literal 1 binary64) y)) t) |
(/ t y) |
(/.f64 t y) |
(/ t y) |
(/.f64 t y) |
(/ t y) |
(/.f64 t y) |
(/ t y) |
(/.f64 t y) |
(+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(fma.f64 (*.f64 y z) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) x) |
(+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
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(*.f64 (*.f64 y z) (-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(*.f64 (*.f64 y z) (-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(*.f64 (*.f64 y z) (-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))) |
(* 1/3 (/ (* (pow x 3) z) (pow y 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) (/.f64 z (*.f64 y y))) #s(literal 1/3 binary64)) |
(* -1 (* (pow x 3) (- (/ z (pow x 2)) (* 1/3 (/ z (pow y 2)))))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 x x)))) |
(* -1 (* (pow x 3) (- (+ (* -1 (/ (* t z) (pow x 3))) (* 1/3 (/ (* (pow t 3) z) (* (pow x 3) (pow y 2))))) (+ (* -1 (/ z (pow x 2))) (* 1/3 (/ z (pow y 2))))))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 t t) t) z) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 y y))) #s(literal 1/3 binary64) (fma.f64 (neg.f64 t) (/.f64 z (*.f64 (*.f64 x x) x)) (neg.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal 1/3 binary64) (/.f64 z (*.f64 (neg.f64 x) x))))))) |
(* -1 (* (pow x 3) (- (+ (* -1 (/ (* t z) (pow x 3))) (* 1/3 (/ (* (pow t 3) z) (* (pow x 3) (pow y 2))))) (+ (* -1 (/ z (pow x 2))) (* 1/3 (/ z (pow y 2))))))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 t t) t) z) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 y y))) #s(literal 1/3 binary64) (fma.f64 (neg.f64 t) (/.f64 z (*.f64 (*.f64 x x) x)) (neg.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal 1/3 binary64) (/.f64 z (*.f64 (neg.f64 x) x))))))) |
(* 1/3 (/ (* (pow x 3) z) (pow y 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) (/.f64 z (*.f64 y y))) #s(literal 1/3 binary64)) |
(* 1/3 (/ (* (pow x 3) z) (pow y 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) (/.f64 z (*.f64 y y))) #s(literal 1/3 binary64)) |
(* 1/3 (/ (* (pow x 3) z) (pow y 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) (/.f64 z (*.f64 y y))) #s(literal 1/3 binary64)) |
(* 1/3 (/ (* (pow x 3) z) (pow y 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) (/.f64 z (*.f64 y y))) #s(literal 1/3 binary64)) |
x |
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
(fma.f64 (/.f64 (*.f64 (*.f64 y z) (-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))) (neg.f64 x)) (neg.f64 x) x) |
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
(fma.f64 (/.f64 (*.f64 (*.f64 y z) (-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))) (neg.f64 x)) (neg.f64 x) x) |
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
(fma.f64 (/.f64 (*.f64 (*.f64 y z) (-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))) (neg.f64 x)) (neg.f64 x) x) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(*.f64 (*.f64 y z) (-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(*.f64 (*.f64 y z) (-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(*.f64 (*.f64 y z) (-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(*.f64 (*.f64 y z) (-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))) |
(* 1/3 (/ (* (pow x 3) z) (pow y 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) (/.f64 z (*.f64 y y))) #s(literal 1/3 binary64)) |
(* -1 (* (pow x 3) (- (/ z (pow x 2)) (* 1/3 (/ z (pow y 2)))))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 x x)))) |
(* -1 (* (pow x 3) (- (+ (* -1 (/ (* t z) (pow x 3))) (* 1/3 (/ (* (pow t 3) z) (* (pow x 3) (pow y 2))))) (+ (* -1 (/ z (pow x 2))) (* 1/3 (/ z (pow y 2))))))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 t t) t) z) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 y y))) #s(literal 1/3 binary64) (fma.f64 (neg.f64 t) (/.f64 z (*.f64 (*.f64 x x) x)) (neg.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal 1/3 binary64) (/.f64 z (*.f64 (neg.f64 x) x))))))) |
(* -1 (* (pow x 3) (- (+ (* -1 (/ (* t z) (pow x 3))) (* 1/3 (/ (* (pow t 3) z) (* (pow x 3) (pow y 2))))) (+ (* -1 (/ z (pow x 2))) (* 1/3 (/ z (pow y 2))))))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 t t) t) z) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 y y))) #s(literal 1/3 binary64) (fma.f64 (neg.f64 t) (/.f64 z (*.f64 (*.f64 x x) x)) (neg.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal 1/3 binary64) (/.f64 z (*.f64 (neg.f64 x) x))))))) |
(* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(*.f64 (neg.f64 y) (/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) |
(* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(*.f64 (neg.f64 y) (/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) |
(* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(*.f64 (neg.f64 y) (/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) |
(* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(*.f64 (neg.f64 y) (/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))) |
| 4 510× | lower-*.f32 |
| 4 488× | lower-*.f64 |
| 4 236× | lower-/.f32 |
| 4 226× | lower-/.f64 |
| 3 932× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 600 |
| 0 | 102 | 532 |
| 1 | 428 | 507 |
| 2 | 3736 | 507 |
| 0 | 9365 | 493 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) |
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) z x) |
(tanh.f64 (/.f64 t y)) |
(/.f64 t y) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z))) |
#s(approx (+ (* (- t x) z) x) (*.f64 t z)) |
(*.f64 t z) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x) |
(*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) |
(/.f64 (-.f64 t x) y) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 x x)) (/.f64 z (*.f64 y y)))))) |
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 x x)) (/.f64 z (*.f64 y y))))) |
#s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 x x)) (/.f64 z (*.f64 y y)))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 x x)) (/.f64 z (*.f64 y y))) |
(*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 t t))) t) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 t t))) t) (*.f64 t t))))) |
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 t t))) t) (*.f64 t t)))) |
#s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 t t))) t) (*.f64 t t))) |
(*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y) |
(tanh.f64 (/.f64 x y)) |
(/.f64 z (*.f64 y y)) |
(*.f64 (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 t t))) t) (*.f64 t t)) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (tanh.f64 (/.f64 x y)) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (neg.f64 (tanh.f64 (/.f64 x y))))))) |
(*.f64 (+.f64 (pow.f64 (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y)) (-.f64 (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y)) (*.f64 (tanh.f64 (/.f64 t y)) y)) (pow.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) #s(literal 2 binary64))))) |
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) |
(*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
(pow.f64 (/.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (neg.f64 (tanh.f64 (/.f64 x y))))) (-.f64 (pow.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (tanh.f64 (/.f64 x y)) y) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y)) (-.f64 (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y)) (*.f64 (tanh.f64 (/.f64 t y)) y)) (pow.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
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(/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) z) (*.f64 #s(literal -1/3 binary64) z)) (*.f64 (*.f64 y y) (*.f64 y y))) (/.f64 (*.f64 z z) (*.f64 (*.f64 t t) (*.f64 t t)))) (*.f64 (*.f64 t t) t))) (neg.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 z (*.f64 y y))) (/.f64 z (*.f64 t t))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/27 binary64) (/.f64 (*.f64 (*.f64 z z) z) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))) (/.f64 (*.f64 (*.f64 z z) z) (*.f64 (*.f64 (*.f64 t t) t) (*.f64 (*.f64 t t) t)))) (*.f64 (*.f64 t t) t))) (neg.f64 (fma.f64 (/.f64 z (*.f64 t t)) (-.f64 (/.f64 z (*.f64 t t)) (*.f64 #s(literal -1/3 binary64) (/.f64 z (*.f64 y y)))) (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) z) (*.f64 #s(literal -1/3 binary64) z)) (*.f64 (*.f64 y y) (*.f64 y y)))))) |
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) z) (*.f64 #s(literal -1/3 binary64) z)) (*.f64 (*.f64 y y) (*.f64 y y))) (/.f64 (*.f64 z z) (*.f64 (*.f64 t t) (*.f64 t t)))) (*.f64 (*.f64 t t) t)) (-.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 z (*.f64 y y))) (/.f64 z (*.f64 t t)))) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/27 binary64) (/.f64 (*.f64 (*.f64 z z) z) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))) (/.f64 (*.f64 (*.f64 z z) z) (*.f64 (*.f64 (*.f64 t t) t) (*.f64 (*.f64 t t) t)))) (*.f64 (*.f64 t t) t)) (fma.f64 (/.f64 z (*.f64 t t)) (-.f64 (/.f64 z (*.f64 t t)) (*.f64 #s(literal -1/3 binary64) (/.f64 z (*.f64 y y)))) (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) z) (*.f64 #s(literal -1/3 binary64) z)) (*.f64 (*.f64 y y) (*.f64 y y))))) |
Compiled 49 217 to 2 380 computations (95.2% saved)
27 alts after pruning (22 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 284 | 14 | 1 298 |
| Fresh | 10 | 8 | 18 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 296 | 27 | 1 323 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 98.5% | (fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) z x) |
| 47.5% | (fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (*.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/3 binary64) #s(literal -1 binary64)) x))) z x) | |
| ▶ | 76.5% | (fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z x) |
| 68.7% | (fma.f64 (fma.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) z x) | |
| ▶ | 64.6% | (fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) x) |
| ✓ | 98.5% | (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) |
| 48.7% | (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (*.f64 x (fma.f64 (*.f64 (/.f64 x (*.f64 (*.f64 y y) y)) x) #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) y))))) z) y x) | |
| 25.3% | (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y))) y) z x) | |
| 25.2% | (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y))) y) z x) | |
| 49.7% | (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x)))) y) z x) | |
| 50.1% | (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))) y) z x) | |
| ▶ | 41.6% | (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) y) z x) |
| 58.3% | (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) y) z x) | |
| 46.6% | (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 (-.f64 (/.f64 t (*.f64 x y)) (/.f64 #s(literal 1 binary64) y)) x))) y) z x) | |
| 45.9% | (fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x) | |
| 59.3% | (+.f64 x (fma.f64 (*.f64 z y) #s(approx (tanh (/ t y)) (/.f64 t y)) (*.f64 (*.f64 z y) (neg.f64 (tanh.f64 (/.f64 x y)))))) | |
| 63.7% | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) | |
| ▶ | 21.7% | (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64)) z) y) y)))) |
| ✓ | 15.9% | (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 x x)) (/.f64 z (*.f64 y y)))))) |
| 49.9% | (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 #s(approx (* (+ (* (/ z (* y y)) -1/3) (/ z (* t t))) t) (/.f64 z t)) (*.f64 t t))))) | |
| 61.4% | (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) #s(approx (* (* (+ (* (/ z (* y y)) -1/3) (/ z (* t t))) t) (* t t)) (*.f64 z t))))) | |
| 27.3% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) (-.f64 t x)) (fma.f64 x (+.f64 x t) (*.f64 t t))) z x)) | |
| ✓ | 60.0% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) |
| 30.7% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (*.f64 (fma.f64 (-.f64 t x) z x) (fma.f64 (-.f64 t x) z (neg.f64 x))) (fma.f64 (-.f64 t x) z (neg.f64 x)))) | |
| 49.9% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (-.f64 x (*.f64 z x)))) | |
| ▶ | 26.3% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))) |
| ✓ | 18.9% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z))) |
Compiled 931 to 494 computations (46.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 t y) | |
| cost-diff | 0 | #s(approx (tanh (/ t y)) (/.f64 t y)) | |
| cost-diff | 0 | (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) | |
| cost-diff | 0 | (fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) x) | |
| cost-diff | 0 | #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64)) z) y) y)) | |
| cost-diff | 0 | #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64)) z) y) y))) | |
| cost-diff | 0 | (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64)) z) y) y)))) | |
| cost-diff | 384 | (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64)) z) y) y) | |
| cost-diff | 0 | #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y)) | |
| cost-diff | 0 | #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) | |
| cost-diff | 0 | (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) y) | |
| cost-diff | 0 | (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) y) z x) | |
| cost-diff | 0 | (-.f64 t x) | |
| cost-diff | 0 | (*.f64 (-.f64 t x) z) | |
| cost-diff | 0 | #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)) | |
| cost-diff | 0 | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))) | |
| cost-diff | 0 | (/.f64 t y) | |
| cost-diff | 0 | (tanh.f64 (/.f64 t y)) | |
| cost-diff | 0 | (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z x) |
| 9 374× | lower-fma.f32 |
| 9 366× | lower-fma.f64 |
| 5 604× | lower-*.f32 |
| 5 590× | lower-*.f64 |
| 2 146× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 71 | 500 |
| 0 | 99 | 494 |
| 1 | 216 | 448 |
| 2 | 545 | 430 |
| 3 | 1695 | 430 |
| 4 | 5842 | 430 |
| 0 | 8293 | 421 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z x) |
(fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) |
(tanh.f64 (/.f64 t y)) |
(/.f64 t y) |
t |
y |
#s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)) |
(neg.f64 x) |
x |
z |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))) |
#s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)) |
(*.f64 (-.f64 t x) z) |
(-.f64 t x) |
t |
x |
z |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) y) z x) |
(*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) y) |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) |
#s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y)) |
(/.f64 (neg.f64 x) y) |
(neg.f64 x) |
x |
y |
z |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64)) z) y) y)))) |
x |
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64)) z) y) y))) |
#s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64)) z) y) y)) |
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64)) z) y) y) |
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64)) z) y) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64)) z) |
(*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64)) |
(*.f64 (*.f64 x x) x) |
(*.f64 x x) |
#s(literal 1/3 binary64) |
z |
y |
(fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) x) |
(-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
#s(approx (tanh (/ t y)) (/.f64 t y)) |
(/.f64 t y) |
t |
y |
(tanh.f64 (/.f64 x y)) |
(/.f64 x y) |
x |
(*.f64 z y) |
z |
| Outputs |
|---|
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z x) |
(fma.f64 z (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) x) |
(fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) |
(tanh.f64 (/.f64 t y)) |
(/.f64 t y) |
t |
y |
#s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)) |
(neg.f64 x) |
x |
z |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))) |
#s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)) |
(*.f64 (-.f64 t x) z) |
(-.f64 t x) |
t |
x |
z |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) y) z x) |
(fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y) x) |
(*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) y) |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) |
#s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y)) |
(/.f64 (neg.f64 x) y) |
(neg.f64 x) |
x |
y |
z |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64)) z) y) y)))) |
(+.f64 #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (*.f64 (*.f64 (*.f64 z x) x) x)))) x) |
x |
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64)) z) y) y))) |
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (*.f64 (*.f64 (*.f64 z x) x) x)))) |
#s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64)) z) y) y)) |
#s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (*.f64 (*.f64 (*.f64 z x) x) x))) |
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64)) z) y) y) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (*.f64 (*.f64 (*.f64 z x) x) x)) |
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64)) z) y) |
(*.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) x) y) z) #s(literal 1/3 binary64)) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64)) z) |
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) x) z) x) |
(*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64)) |
(*.f64 (*.f64 x x) x) |
(*.f64 x x) |
#s(literal 1/3 binary64) |
z |
y |
(fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) x) |
(-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
#s(approx (tanh (/ t y)) (/.f64 t y)) |
(/.f64 t y) |
t |
y |
(tanh.f64 (/.f64 x y)) |
(/.f64 x y) |
x |
(*.f64 z y) |
z |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.01171875 | (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) | |
| accuracy | 0.01171875 | (tanh.f64 (/.f64 x y)) | |
| accuracy | 3.8020094559081072 | (fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) x) | |
| accuracy | 31.215617094863354 | #s(approx (tanh (/ t y)) (/.f64 t y)) | |
| accuracy | 4.709633440898166 | (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64)) z) y) y) | |
| accuracy | 5.587168371816725 | (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64)) z) | |
| accuracy | 38.134334921528854 | #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64)) z) y) y)) | |
| accuracy | 42.10508731856283 | #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64)) z) y) y))) | |
| accuracy | 0.00390625 | (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) y) z x) | |
| accuracy | 1.5694729874156887 | (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) y) | |
| accuracy | 30.574023146163913 | #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y)) | |
| accuracy | 40.89895887476097 | #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) | |
| accuracy | 0 | (-.f64 t x) | |
| accuracy | 0 | (*.f64 (-.f64 t x) z) | |
| accuracy | 22.101936977866682 | #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)) | |
| accuracy | 25.58060264491775 | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))) | |
| accuracy | 0.00390625 | (fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z x) | |
| accuracy | 0.0078125 | (tanh.f64 (/.f64 t y)) | |
| accuracy | 1.2876329410947556 | (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) | |
| accuracy | 30.030302755578145 | #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)) |
| 151.0ms | 218× | 0 | valid |
| 32.0ms | 32× | 2 | valid |
| 4.0ms | 6× | 1 | valid |
Compiled 302 to 59 computations (80.5% saved)
ival-mult: 85.0ms (52.4% of total)ival-div: 41.0ms (25.3% of total)ival-add: 12.0ms (7.4% of total)const: 7.0ms (4.3% of total)adjust: 6.0ms (3.7% of total)ival-neg: 5.0ms (3.1% of total)ival-sub: 4.0ms (2.5% of total)ival-tanh: 3.0ms (1.8% 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 (fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z x) (patch (fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z x) #<representation binary64>) () ()) |
#s(alt (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) (patch (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) #<representation binary64>) () ()) |
#s(alt (tanh.f64 (/.f64 t y)) (patch (tanh.f64 (/.f64 t y)) #<representation binary64>) () ()) |
#s(alt (/.f64 t y) (patch (/.f64 t y) #<representation binary64>) () ()) |
#s(alt #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))) (patch #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)) (patch #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 t x) z) (patch (*.f64 (-.f64 t x) z) #<representation binary64>) () ()) |
#s(alt (-.f64 t x) (patch (-.f64 t x) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) y) z x) (patch (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) y) z x) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) y) (patch (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) y) #<representation binary64>) () ()) |
#s(alt #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (patch #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y)) (patch #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64)) z) y) y) (patch (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64)) z) y) y) #<representation binary64>) () ()) |
#s(alt (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64)) z) y) y)))) (patch (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64)) z) y) y)))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64)) z) y) y))) (patch #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64)) z) y) y))) #<representation binary64>) () ()) |
#s(alt #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64)) z) y) y)) (patch #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64)) z) y) y)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) x) (patch (fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) x) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (patch (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) #<representation binary64>) () ()) |
#s(alt #s(approx (tanh (/ t y)) (/.f64 t y)) (patch #s(approx (tanh (/ t y)) (/.f64 t y)) #<representation binary64>) () ()) |
#s(alt #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)) (patch #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64)) z) (patch (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64)) z) #<representation binary64>) () ()) |
#s(alt (tanh.f64 (/.f64 x y)) (patch (tanh.f64 (/.f64 x y)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (+ x (* -1 (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (taylor 0 t) (#s(alt (fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z x) (patch (fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1 (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (* t z))) (taylor 0 t) (#s(alt (fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z x) (patch (fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1 (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))))) (taylor 0 t) (#s(alt (fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z x) (patch (fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1 (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))))) (taylor 0 t) (#s(alt (fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z x) (patch (fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (taylor 0 t) (#s(alt (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) (patch (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (+ t (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (taylor 0 t) (#s(alt (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) (patch (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (* t (+ 1 (* -1/3 (/ (pow t 2) (pow y 2)))))) (taylor 0 t) (#s(alt (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) (patch (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (* t (+ 1 (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 4))) (* 1/3 (/ 1 (pow y 2)))))))) (taylor 0 t) (#s(alt (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) (patch (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (/ t y) (taylor 0 t) (#s(alt (tanh.f64 (/.f64 t y)) (patch (tanh.f64 (/.f64 t y)) #<representation binary64>) () ())) ()) |
#s(alt (* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y))) (taylor 0 t) (#s(alt (tanh.f64 (/.f64 t y)) (patch (tanh.f64 (/.f64 t y)) #<representation binary64>) () ())) ()) |
#s(alt (* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) (taylor 0 t) (#s(alt (tanh.f64 (/.f64 t y)) (patch (tanh.f64 (/.f64 t y)) #<representation binary64>) () ())) ()) |
#s(alt (* t (+ (* (pow t 2) (- (* (pow t 2) (+ (* -17/315 (/ (pow t 2) (pow y 7))) (* 2/15 (/ 1 (pow y 5))))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) (taylor 0 t) (#s(alt (tanh.f64 (/.f64 t y)) (patch (tanh.f64 (/.f64 t y)) #<representation binary64>) () ())) ()) |
#s(alt (/ t y) (taylor 0 t) (#s(alt (/.f64 t y) (patch (/.f64 t y) #<representation binary64>) () ())) ()) |
#s(alt (/ t y) (taylor 0 t) (#s(alt (/.f64 t y) (patch (/.f64 t y) #<representation binary64>) () ())) ()) |
#s(alt (/ t y) (taylor 0 t) (#s(alt (/.f64 t y) (patch (/.f64 t y) #<representation binary64>) () ())) ()) |
#s(alt (/ t y) (taylor 0 t) (#s(alt (/.f64 t y) (patch (/.f64 t y) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (taylor 0 t) (#s(alt #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))) (patch #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor 0 t) (#s(alt #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))) (patch #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor 0 t) (#s(alt #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))) (patch #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor 0 t) (#s(alt #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))) (patch #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* x z))) (taylor 0 t) (#s(alt #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)) (patch #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1 (* x z)) (* t z))) (taylor 0 t) (#s(alt #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)) (patch #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1 (* x z)) (* t z))) (taylor 0 t) (#s(alt #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)) (patch #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1 (* x z)) (* t z))) (taylor 0 t) (#s(alt #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)) (patch #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x z)) (taylor 0 t) (#s(alt (*.f64 (-.f64 t x) z) (patch (*.f64 (-.f64 t x) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* x z)) (* t z)) (taylor 0 t) (#s(alt (*.f64 (-.f64 t x) z) (patch (*.f64 (-.f64 t x) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* x z)) (* t z)) (taylor 0 t) (#s(alt (*.f64 (-.f64 t x) z) (patch (*.f64 (-.f64 t x) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* x z)) (* t z)) (taylor 0 t) (#s(alt (*.f64 (-.f64 t x) z) (patch (*.f64 (-.f64 t x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 t) (#s(alt (-.f64 t x) (patch (-.f64 t x) #<representation binary64>) () ())) ()) |
#s(alt (- t x) (taylor 0 t) (#s(alt (-.f64 t x) (patch (-.f64 t x) #<representation binary64>) () ())) ()) |
#s(alt (- t x) (taylor 0 t) (#s(alt (-.f64 t x) (patch (-.f64 t x) #<representation binary64>) () ())) ()) |
#s(alt (- t x) (taylor 0 t) (#s(alt (-.f64 t x) (patch (-.f64 t x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (taylor 0 t) (#s(alt (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) y) z x) (patch (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) y) z x) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* (pow x 3) (- (+ (* -1 (/ (* t z) (pow x 3))) (* 1/3 (/ (* (pow t 3) z) (* (pow x 3) (pow y 2))))) (+ (* -1 (/ z (pow x 2))) (* 1/3 (/ z (pow y 2))))))) (taylor -inf x) (#s(alt #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64)) z) y) y)) (patch #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64)) z) y) y)) #<representation binary64>) () ())) ()) |
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#s(alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (taylor -inf x) (#s(alt (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (patch (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) #<representation binary64>) () ())) ()) |
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#s(alt (* 1/3 (* (pow x 3) z)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64)) z) (patch (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (* (pow x 3) z)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64)) z) (patch (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (* (pow x 3) z)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64)) z) (patch (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (taylor -inf x) (#s(alt (tanh.f64 (/.f64 x y)) (patch (tanh.f64 (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (taylor -inf x) (#s(alt (tanh.f64 (/.f64 x y)) (patch (tanh.f64 (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (taylor -inf x) (#s(alt (tanh.f64 (/.f64 x y)) (patch (tanh.f64 (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (taylor -inf x) (#s(alt (tanh.f64 (/.f64 x y)) (patch (tanh.f64 (/.f64 x y)) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 32.0ms | z | @ | 0 | ((+ (* (+ (* (tanh (/ t y)) y) (* (neg (tanh (/ x y))) y)) z) x) (+ (* (tanh (/ t y)) y) (* (neg (tanh (/ x y))) y)) (tanh (/ t y)) (/ t y) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (* (- t x) z) (- t x) (+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z) x) (* (- (tanh (/ t y)) (tanh (/ x y))) y) (- (tanh (/ t y)) (tanh (/ x y))) (/ (- t x) y) (/ (/ (* (* (* (* x x) x) 1/3) z) y) y) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (+ (* (- (tanh (/ t y)) (tanh (/ x y))) (* z y)) x) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (* (neg (tanh (/ x y))) y) (* (* (* (* x x) x) 1/3) z) (tanh (/ x y))) |
| 6.0ms | z | @ | -inf | ((+ (* (+ (* (tanh (/ t y)) y) (* (neg (tanh (/ x y))) y)) z) x) (+ (* (tanh (/ t y)) y) (* (neg (tanh (/ x y))) y)) (tanh (/ t y)) (/ t y) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (* (- t x) z) (- t x) (+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z) x) (* (- (tanh (/ t y)) (tanh (/ x y))) y) (- (tanh (/ t y)) (tanh (/ x y))) (/ (- t x) y) (/ (/ (* (* (* (* x x) x) 1/3) z) y) y) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (+ (* (- (tanh (/ t y)) (tanh (/ x y))) (* z y)) x) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (* (neg (tanh (/ x y))) y) (* (* (* (* x x) x) 1/3) z) (tanh (/ x y))) |
| 5.0ms | y | @ | inf | ((+ (* (+ (* (tanh (/ t y)) y) (* (neg (tanh (/ x y))) y)) z) x) (+ (* (tanh (/ t y)) y) (* (neg (tanh (/ x y))) y)) (tanh (/ t y)) (/ t y) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (* (- t x) z) (- t x) (+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z) x) (* (- (tanh (/ t y)) (tanh (/ x y))) y) (- (tanh (/ t y)) (tanh (/ x y))) (/ (- t x) y) (/ (/ (* (* (* (* x x) x) 1/3) z) y) y) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (+ (* (- (tanh (/ t y)) (tanh (/ x y))) (* z y)) x) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (* (neg (tanh (/ x y))) y) (* (* (* (* x x) x) 1/3) z) (tanh (/ x y))) |
| 5.0ms | z | @ | inf | ((+ (* (+ (* (tanh (/ t y)) y) (* (neg (tanh (/ x y))) y)) z) x) (+ (* (tanh (/ t y)) y) (* (neg (tanh (/ x y))) y)) (tanh (/ t y)) (/ t y) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (* (- t x) z) (- t x) (+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z) x) (* (- (tanh (/ t y)) (tanh (/ x y))) y) (- (tanh (/ t y)) (tanh (/ x y))) (/ (- t x) y) (/ (/ (* (* (* (* x x) x) 1/3) z) y) y) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (+ (* (- (tanh (/ t y)) (tanh (/ x y))) (* z y)) x) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (* (neg (tanh (/ x y))) y) (* (* (* (* x x) x) 1/3) z) (tanh (/ x y))) |
| 5.0ms | y | @ | 0 | ((+ (* (+ (* (tanh (/ t y)) y) (* (neg (tanh (/ x y))) y)) z) x) (+ (* (tanh (/ t y)) y) (* (neg (tanh (/ x y))) y)) (tanh (/ t y)) (/ t y) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (* (- t x) z) (- t x) (+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z) x) (* (- (tanh (/ t y)) (tanh (/ x y))) y) (- (tanh (/ t y)) (tanh (/ x y))) (/ (- t x) y) (/ (/ (* (* (* (* x x) x) 1/3) z) y) y) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (+ (* (- (tanh (/ t y)) (tanh (/ x y))) (* z y)) x) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (* (neg (tanh (/ x y))) y) (* (* (* (* x x) x) 1/3) z) (tanh (/ x y))) |
| 1× | egg-herbie |
| 13 296× | lower-fma.f64 |
| 13 296× | lower-fma.f32 |
| 6 960× | lower-+.f64 |
| 6 960× | lower-+.f32 |
| 4 620× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 904 | 32674 |
| 1 | 3035 | 28340 |
| 0 | 9008 | 27619 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (* -1 (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(+ x (+ (* -1 (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (* t z))) |
(+ x (+ (* -1 (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))))) |
(+ x (+ (* -1 (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))))) |
(* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(+ t (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (* t (+ 1 (* -1/3 (/ (pow t 2) (pow y 2)))))) |
(+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (* t (+ 1 (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 4))) (* 1/3 (/ 1 (pow y 2)))))))) |
(/ t y) |
(* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y))) |
(* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) |
(* t (+ (* (pow t 2) (- (* (pow t 2) (+ (* -17/315 (/ (pow t 2) (pow y 7))) (* 2/15 (/ 1 (pow y 5))))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t y) |
(+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (* -1 (* x z))) |
(+ x (+ (* -1 (* x z)) (* t z))) |
(+ x (+ (* -1 (* x z)) (* t z))) |
(+ x (+ (* -1 (* x z)) (* t z))) |
(* -1 (* x z)) |
(+ (* -1 (* x z)) (* t z)) |
(+ (* -1 (* x z)) (* t z)) |
(+ (* -1 (* x z)) (* t z)) |
(* -1 x) |
(- t x) |
(- t x) |
(- t x) |
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(+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
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(* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) |
(* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) |
(* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) |
(* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(* -1 (/ x y)) |
(* -1 (* x (+ (* -1 (/ t (* x y))) (/ 1 y)))) |
(* -1 (* x (+ (* -1 (/ t (* x y))) (/ 1 y)))) |
(* -1 (* x (+ (* -1 (/ t (* x y))) (/ 1 y)))) |
(* 1/3 (/ (* (pow x 3) z) (pow y 2))) |
(* 1/3 (/ (* (pow x 3) z) (pow y 2))) |
(* 1/3 (/ (* (pow x 3) z) (pow y 2))) |
(* 1/3 (/ (* (pow x 3) z) (pow y 2))) |
x |
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* 1/3 (/ (* (pow x 3) z) (pow y 2))) |
(* -1 (* (pow x 3) (- (/ z (pow x 2)) (* 1/3 (/ z (pow y 2)))))) |
(* -1 (* (pow x 3) (- (+ (* -1 (/ (* t z) (pow x 3))) (* 1/3 (/ (* (pow t 3) z) (* (pow x 3) (pow y 2))))) (+ (* -1 (/ z (pow x 2))) (* 1/3 (/ z (pow y 2))))))) |
(* -1 (* (pow x 3) (- (+ (* -1 (/ (* t z) (pow x 3))) (* 1/3 (/ (* (pow t 3) z) (* (pow x 3) (pow y 2))))) (+ (* -1 (/ z (pow x 2))) (* 1/3 (/ z (pow y 2))))))) |
x |
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(* 1/3 (* (pow x 3) z)) |
(* 1/3 (* (pow x 3) z)) |
(* 1/3 (* (pow x 3) z)) |
(* 1/3 (* (pow x 3) z)) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
| Outputs |
|---|
(+ x (* -1 (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(fma.f64 (neg.f64 y) (/.f64 (*.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) z) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))) x) |
(+ x (+ (* -1 (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (* t z))) |
(fma.f64 (neg.f64 y) (/.f64 (*.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) z) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))) (fma.f64 t z x)) |
(+ x (+ (* -1 (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))))) |
(fma.f64 (neg.f64 y) (/.f64 (*.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) z) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))) (fma.f64 (fma.f64 (*.f64 (*.f64 t t) (/.f64 z (*.f64 y y))) #s(literal -1/3 binary64) z) t x)) |
(+ x (+ (* -1 (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))))) |
(fma.f64 (neg.f64 y) (/.f64 (*.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) z) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 t t) (/.f64 z (pow.f64 y #s(literal 4 binary64)))) #s(literal 2/15 binary64) (*.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64))) (*.f64 t t) z) t x)) |
(* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(*.f64 (neg.f64 y) (/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) |
(+ t (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(fma.f64 (neg.f64 y) (/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))) t) |
(+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (* t (+ 1 (* -1/3 (/ (pow t 2) (pow y 2)))))) |
(fma.f64 (neg.f64 y) (/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))) (*.f64 (fma.f64 (/.f64 (*.f64 t t) (*.f64 y y)) #s(literal -1/3 binary64) #s(literal 1 binary64)) t)) |
(+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (* t (+ 1 (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 4))) (* 1/3 (/ 1 (pow y 2)))))))) |
(fma.f64 (neg.f64 y) (/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))) (*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 t t) (pow.f64 y #s(literal 4 binary64))) #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (*.f64 t t) #s(literal 1 binary64)) t)) |
(/ t y) |
(/.f64 t y) |
(* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y))) |
(*.f64 (fma.f64 (/.f64 (*.f64 t t) (*.f64 (*.f64 y y) y)) #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) y)) t) |
(* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 t t) (pow.f64 y #s(literal 5 binary64))) #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 y y) y))) (*.f64 t t) (/.f64 #s(literal 1 binary64) y)) t) |
(* t (+ (* (pow t 2) (- (* (pow t 2) (+ (* -17/315 (/ (pow t 2) (pow y 7))) (* 2/15 (/ 1 (pow y 5))))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 t t) (pow.f64 y #s(literal 7 binary64))) #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (pow.f64 y #s(literal 5 binary64)))) (*.f64 t t) (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 y y) y))) (*.f64 t t) (/.f64 #s(literal 1 binary64) y)) t) |
(/ t y) |
(/.f64 t y) |
(/ t y) |
(/.f64 t y) |
(/ t y) |
(/.f64 t y) |
(/ t y) |
(/.f64 t y) |
(+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(fma.f64 (*.f64 y z) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) x) |
(+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(fma.f64 (*.f64 y z) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (fma.f64 t z x)) |
(+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(fma.f64 (*.f64 y z) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (fma.f64 (fma.f64 (*.f64 (*.f64 t t) (/.f64 z (*.f64 y y))) #s(literal -1/3 binary64) z) t x)) |
(+ x (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(fma.f64 (*.f64 y z) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 t t) (/.f64 z (pow.f64 y #s(literal 4 binary64)))) #s(literal 2/15 binary64) (*.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64))) (*.f64 t t) z) t x)) |
(+ x (* -1 (* x z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(+ x (+ (* -1 (* x z)) (* t z))) |
(fma.f64 (-.f64 t x) z x) |
(+ x (+ (* -1 (* x z)) (* t z))) |
(fma.f64 (-.f64 t x) z x) |
(+ x (+ (* -1 (* x z)) (* t z))) |
(fma.f64 (-.f64 t x) z x) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
(+ (* -1 (* x z)) (* t z)) |
(*.f64 (-.f64 t x) z) |
(+ (* -1 (* x z)) (* t z)) |
(*.f64 (-.f64 t x) z) |
(+ (* -1 (* x z)) (* t z)) |
(*.f64 (-.f64 t x) z) |
(* -1 x) |
(neg.f64 x) |
(- t x) |
(-.f64 t x) |
(- t x) |
(-.f64 t x) |
(- t x) |
(-.f64 t x) |
(+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(fma.f64 (*.f64 y z) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) x) |
(+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(fma.f64 (*.f64 y z) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (fma.f64 t z x)) |
(+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(fma.f64 (*.f64 y z) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (fma.f64 (fma.f64 (*.f64 (*.f64 t t) (/.f64 z (*.f64 y y))) #s(literal -1/3 binary64) z) t x)) |
(+ x (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(fma.f64 (*.f64 y z) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 t t) (/.f64 z (pow.f64 y #s(literal 4 binary64)))) #s(literal 2/15 binary64) (*.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64))) (*.f64 t t) z) t x)) |
(* y (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) y) |
(+ t (* y (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) |
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x |
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(-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* -1 (* x (+ (* -1 (/ t (* x y))) (/ 1 y)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 t (*.f64 y x))) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (/ t (* x y))) (/ 1 y)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 t (*.f64 y x))) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (/ t (* x y))) (/ 1 y)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 t (*.f64 y x))) (neg.f64 x)) |
(* 1/3 (/ (* (pow x 3) z) (pow y 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) (/.f64 z (*.f64 y y))) #s(literal 1/3 binary64)) |
(* 1/3 (/ (* (pow x 3) z) (pow y 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) (/.f64 z (*.f64 y y))) #s(literal 1/3 binary64)) |
(* 1/3 (/ (* (pow x 3) z) (pow y 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) (/.f64 z (*.f64 y y))) #s(literal 1/3 binary64)) |
(* 1/3 (/ (* (pow x 3) z) (pow y 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) (/.f64 z (*.f64 y y))) #s(literal 1/3 binary64)) |
x |
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
(fma.f64 (/.f64 (*.f64 (*.f64 y z) (-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))) (neg.f64 x)) (neg.f64 x) x) |
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
(fma.f64 (/.f64 (*.f64 (*.f64 y z) (-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))) (neg.f64 x)) (neg.f64 x) x) |
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
(fma.f64 (/.f64 (*.f64 (*.f64 y z) (-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))) (neg.f64 x)) (neg.f64 x) x) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(*.f64 (*.f64 y z) (-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(*.f64 (*.f64 y z) (-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(*.f64 (*.f64 y z) (-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(*.f64 (*.f64 y z) (-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))) |
(* 1/3 (/ (* (pow x 3) z) (pow y 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) (/.f64 z (*.f64 y y))) #s(literal 1/3 binary64)) |
(* -1 (* (pow x 3) (- (/ z (pow x 2)) (* 1/3 (/ z (pow y 2)))))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 x x)))) |
(* -1 (* (pow x 3) (- (+ (* -1 (/ (* t z) (pow x 3))) (* 1/3 (/ (* (pow t 3) z) (* (pow x 3) (pow y 2))))) (+ (* -1 (/ z (pow x 2))) (* 1/3 (/ z (pow y 2))))))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 t t) t) z) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 y y))) #s(literal 1/3 binary64) (fma.f64 (neg.f64 t) (/.f64 z (*.f64 (*.f64 x x) x)) (neg.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))))))) |
(* -1 (* (pow x 3) (- (+ (* -1 (/ (* t z) (pow x 3))) (* 1/3 (/ (* (pow t 3) z) (* (pow x 3) (pow y 2))))) (+ (* -1 (/ z (pow x 2))) (* 1/3 (/ z (pow y 2))))))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 t t) t) z) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 y y))) #s(literal 1/3 binary64) (fma.f64 (neg.f64 t) (/.f64 z (*.f64 (*.f64 x x) x)) (neg.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 (neg.f64 x) x))))))) |
x |
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
(fma.f64 (/.f64 (*.f64 (*.f64 y z) (-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))) (neg.f64 x)) (neg.f64 x) x) |
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
(fma.f64 (/.f64 (*.f64 (*.f64 y z) (-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))) (neg.f64 x)) (neg.f64 x) x) |
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
(fma.f64 (/.f64 (*.f64 (*.f64 y z) (-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))) (neg.f64 x)) (neg.f64 x) x) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) |
(* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(*.f64 (neg.f64 y) (/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) |
(* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(*.f64 (neg.f64 y) (/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) |
(* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(*.f64 (neg.f64 y) (/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) |
(* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(*.f64 (neg.f64 y) (/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) |
(* 1/3 (* (pow x 3) z)) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) z) #s(literal 1/3 binary64)) |
(* 1/3 (* (pow x 3) z)) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) z) #s(literal 1/3 binary64)) |
(* 1/3 (* (pow x 3) z)) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) z) #s(literal 1/3 binary64)) |
(* 1/3 (* (pow x 3) z)) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) z) #s(literal 1/3 binary64)) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))) |
| 4 190× | lower-*.f32 |
| 4 176× | lower-*.f64 |
| 3 874× | lower-/.f32 |
| 3 864× | lower-/.f64 |
| 3 740× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 71 | 439 |
| 0 | 100 | 405 |
| 1 | 419 | 393 |
| 2 | 3482 | 393 |
| 0 | 8677 | 384 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z x) |
(fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) |
(tanh.f64 (/.f64 t y)) |
(/.f64 t y) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))) |
#s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)) |
(*.f64 (-.f64 t x) z) |
(-.f64 t x) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) y) z x) |
(*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) y) |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) |
#s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y)) |
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64)) z) y) y) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64)) z) y) y)))) |
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64)) z) y) y))) |
#s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64)) z) y) y)) |
(fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) x) |
(-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
#s(approx (tanh (/ t y)) (/.f64 t y)) |
#s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64)) z) |
(tanh.f64 (/.f64 x y)) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (*.f64 z (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)))) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) (neg.f64 x)))) |
(*.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 z (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 z (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))))) (pow.f64 (*.f64 z (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)))) #s(literal 2 binary64))))) |
(pow.f64 (/.f64 (fma.f64 z (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) (neg.f64 x)) (-.f64 (pow.f64 (*.f64 z (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)))) #s(literal 2 binary64)) (*.f64 x x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 z (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))))) (pow.f64 (*.f64 z (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)))) #s(literal 2 binary64))) (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 z (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)))) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)))) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 z (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)))) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (fma.f64 z (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) (neg.f64 x))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 z (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (*.f64 z (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))))) (pow.f64 (*.f64 z (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)))) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)))) #s(literal 2 binary64))) (-.f64 x (*.f64 z (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)))) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 z (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) (neg.f64 x)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 z (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (*.f64 z (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)))) #s(literal 2 binary64)) (*.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) (*.f64 z x)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 z (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 z (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))))) (pow.f64 (*.f64 z (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 z (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)))) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 z (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) (neg.f64 x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 z (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) (neg.f64 x)) (-.f64 (pow.f64 (*.f64 z (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)))) #s(literal 2 binary64)) (*.f64 x x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 z (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))))) (pow.f64 (*.f64 z (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)))) #s(literal 2 binary64))) (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 z (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)))) #s(literal 3 binary64)))))) |
(/.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 z (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)))) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 z (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)))) #s(literal 2 binary64)) (*.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) (*.f64 z x))))) |
(/.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 z (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)))) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 z (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))))) (pow.f64 (*.f64 z (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)))) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) (neg.f64 x)) (-.f64 (pow.f64 (*.f64 z (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)))) #s(literal 2 binary64)) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 z (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))))) (pow.f64 (*.f64 z (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)))) #s(literal 2 binary64))) (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 z (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)))) #s(literal 3 binary64))))) |
(fma.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 z (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 z (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))))) |
(fma.f64 #s(literal 1 binary64) x (*.f64 z (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))))) |
(fma.f64 z (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) x) |
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z x) |
(-.f64 (/.f64 (pow.f64 (*.f64 z (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)))) #s(literal 2 binary64)) (fma.f64 z (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 z (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) (neg.f64 x)))) |
(+.f64 (*.f64 z (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)))) x) |
(+.f64 x (*.f64 z (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) #s(literal 2 binary64)) (*.f64 #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))))) |
(*.f64 (fma.f64 (*.f64 #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)) (pow.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)) (-.f64 #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)) (*.f64 (tanh.f64 (/.f64 t y)) y)) (pow.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) #s(literal 2 binary64))))) |
(pow.f64 (/.f64 (-.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) (-.f64 (pow.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) #s(literal 2 binary64)) (*.f64 #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)) (-.f64 #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)) (*.f64 (tanh.f64 (/.f64 t y)) y)) (pow.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) #s(literal 2 binary64))) (fma.f64 (*.f64 #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)) (pow.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) (pow.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)) (*.f64 (tanh.f64 (/.f64 t y)) y)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) #s(literal 2 binary64)) (*.f64 #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)))))) (neg.f64 (neg.f64 (-.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)) (pow.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)) (-.f64 #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)) (*.f64 (tanh.f64 (/.f64 t y)) y)) (pow.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) (pow.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) #s(literal 2 binary64))) (-.f64 #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)) (*.f64 (tanh.f64 (/.f64 t y)) y))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) #s(literal 2 binary64)) (*.f64 #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))))) (neg.f64 (-.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)) (pow.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) #s(literal 2 binary64)) (*.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)) (pow.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)) (-.f64 #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)) (*.f64 (tanh.f64 (/.f64 t y)) y)) (pow.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) #s(literal 2 binary64)) (*.f64 #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)))) (-.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) (-.f64 (pow.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) #s(literal 2 binary64)) (*.f64 #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)) (-.f64 #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)) (*.f64 (tanh.f64 (/.f64 t y)) y)) (pow.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) #s(literal 2 binary64))) (fma.f64 (*.f64 #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)) (pow.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) #s(literal 3 binary64)))))) |
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(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 x y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))))) |
(-.f64 (/.f64 (exp.f64 (/.f64 x y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (/.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y))))) |
Compiled 42 938 to 1 883 computations (95.6% saved)
32 alts after pruning (22 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 144 | 9 | 1 153 |
| Fresh | 4 | 13 | 17 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 5 | 5 |
| Total | 1 148 | 32 | 1 180 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 98.5% | (fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) z x) |
| 47.5% | (fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (*.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/3 binary64) #s(literal -1 binary64)) x))) z x) | |
| ✓ | 76.5% | (fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z x) |
| 68.7% | (fma.f64 (fma.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) z x) | |
| ✓ | 64.6% | (fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) x) |
| ✓ | 98.5% | (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) |
| 48.7% | (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (*.f64 x (fma.f64 (*.f64 (/.f64 x (*.f64 (*.f64 y y) y)) x) #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) y))))) z) y x) | |
| 25.3% | (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y))) y) z x) | |
| 25.2% | (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y))) y) z x) | |
| 49.7% | (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x)))) y) z x) | |
| 50.1% | (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))) y) z x) | |
| 41.6% | (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) z) y x) | |
| ✓ | 41.6% | (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) y) z x) |
| 58.3% | (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) y) z x) | |
| 46.6% | (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 (-.f64 (/.f64 t (*.f64 y x)) (/.f64 #s(literal 1 binary64) y)) x))) y) z x) | |
| 45.9% | (fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x) | |
| 41.6% | (fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) x) | |
| 24.6% | (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y)) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y)))) (*.f64 z y))) (-.f64 x (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y)))) | |
| 25.3% | (/.f64 (*.f64 (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y) x) (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y) (neg.f64 x))) (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y) (neg.f64 x))) | |
| 59.3% | (+.f64 x (fma.f64 (*.f64 z y) #s(approx (tanh (/ t y)) (/.f64 t y)) (*.f64 (*.f64 z y) (neg.f64 (tanh.f64 (/.f64 x y)))))) | |
| ✓ | 21.7% | (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64)) z) y) y)))) |
| ✓ | 15.9% | (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 x x)) (/.f64 z (*.f64 y y)))))) |
| 49.9% | (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 #s(approx (* (+ (* (/ z (* y y)) -1/3) (/ z (* t t))) t) (/.f64 z t)) (*.f64 t t))))) | |
| 61.4% | (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) #s(approx (* (* (+ (* (/ z (* y y)) -1/3) (/ z (* t t))) t) (* t t)) (*.f64 z t))))) | |
| 25.2% | (*.f64 (*.f64 (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y) x) (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y) (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y) (neg.f64 x)))) | |
| ✓ | 60.0% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) |
| 20.4% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (/.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) z) (+.f64 x t)))) | |
| 49.9% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (-.f64 x (*.f64 z x)))) | |
| 13.0% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) (-.f64 t x)) (fma.f64 x (+.f64 x t) (*.f64 t t))) z))) | |
| ✓ | 26.3% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))) |
| 10.5% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- t x) (neg.f64 x)) z))) | |
| ✓ | 18.9% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z))) |
Compiled 1 650 to 550 computations (66.7% saved)
| Inputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- t x) (neg.f64 x)) z))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (-.f64 x (*.f64 z x)))) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) #s(approx (* (* (+ (* (/ z (* y y)) -1/3) (/ z (* t t))) t) (* t t)) (*.f64 z t))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 (+.f64 (/.f64 x z) t) x) z))) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) y) z x) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 #s(approx (* (+ (* (/ z (* y y)) -1/3) (/ z (* t t))) t) (/.f64 z t)) (*.f64 t t))))) |
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) x) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) y) z x) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) z) y x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 (-.f64 (/.f64 (*.f64 t z) x) z) x x))) |
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (/.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) z) (+.f64 x t)))) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))) y) z x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (+.f64 x t)) z x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 x t))) z x)) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x)))) y) z x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (fma.f64 (neg.f64 x) (/.f64 z t) (+.f64 (/.f64 x t) z)) t))) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 x x)) (/.f64 z (*.f64 y y)))))) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (*.f64 (*.f64 t t) t) #s(literal -1/3 binary64)) (/.f64 z (*.f64 y y)))))) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y))) y) z x) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64)) z) y) y)))) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 (-.f64 (/.f64 t (*.f64 x y)) (/.f64 #s(literal 1 binary64) y)) x))) y) z x) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 (-.f64 (/.f64 t (*.f64 y x)) (/.f64 #s(literal 1 binary64) y)) x))) y) z x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (*.f64 (fma.f64 (-.f64 t x) z x) (fma.f64 (-.f64 t x) z (neg.f64 x))) (fma.f64 (-.f64 t x) z (neg.f64 x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (-.f64 t x) z) z) (-.f64 t x))) (-.f64 x (*.f64 (-.f64 t x) z)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) (-.f64 t x)) (fma.f64 x (+.f64 x t) (*.f64 t t))) z))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) (-.f64 t x)) (fma.f64 x (+.f64 x t) (*.f64 t t))) z x)) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 t t))) t) (*.f64 t t))))) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y))) y) z x) |
(/.f64 (*.f64 (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y) x) (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y) (neg.f64 x))) (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y) (neg.f64 x))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y)) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y)))) (*.f64 z y))) (-.f64 x (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y)))) |
(*.f64 (*.f64 (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y) x) (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y) (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y) (neg.f64 x)))) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 (neg.f64 z) (-.f64 t x) (/.f64 (fma.f64 #s(literal 0 binary64) z (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y))) y))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z (fma.f64 z (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64) (*.f64 (*.f64 t t) t)))) (*.f64 y y)) (/.f64 #s(literal 0 binary64) y)) x))) |
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z x) |
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) |
(fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) x) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) |
(fma.f64 (fma.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) z x) |
(+.f64 x (fma.f64 (*.f64 z y) #s(approx (tanh (/ t y)) (/.f64 t y)) (*.f64 (*.f64 z y) (neg.f64 (tanh.f64 (/.f64 x y)))))) |
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (*.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/3 binary64) #s(literal -1 binary64)) x))) z x) |
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (*.f64 x (fma.f64 (*.f64 (/.f64 x (*.f64 (*.f64 y y) y)) x) #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) y))))) z) y x) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) (/.f64 x y)))))) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (/.f64 (/.f64 (*.f64 x x) (*.f64 y y)) y) (/.f64 x y)))))) |
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) |
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) z x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (*.f64 z y) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (fma.f64 (fma.f64 (*.f64 (*.f64 t t) #s(literal -1/3 binary64)) (/.f64 z (*.f64 y y)) z) t x))) |
| Outputs |
|---|
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) z x) |
5 calls:
| 76.0ms | z |
| 29.0ms | x |
| 21.0ms | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 19.0ms | y |
| 16.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.5% | 1 | x |
| 98.5% | 1 | y |
| 98.5% | 1 | z |
| 98.5% | 1 | t |
| 98.5% | 1 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
Compiled 39 to 28 computations (28.2% saved)
| Inputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- t x) (neg.f64 x)) z))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (-.f64 x (*.f64 z x)))) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) #s(approx (* (* (+ (* (/ z (* y y)) -1/3) (/ z (* t t))) t) (* t t)) (*.f64 z t))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 (+.f64 (/.f64 x z) t) x) z))) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) y) z x) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 #s(approx (* (+ (* (/ z (* y y)) -1/3) (/ z (* t t))) t) (/.f64 z t)) (*.f64 t t))))) |
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) x) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) y) z x) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) z) y x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 (-.f64 (/.f64 (*.f64 t z) x) z) x x))) |
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (/.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) z) (+.f64 x t)))) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))) y) z x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (+.f64 x t)) z x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 x t))) z x)) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x)))) y) z x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (fma.f64 (neg.f64 x) (/.f64 z t) (+.f64 (/.f64 x t) z)) t))) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 x x)) (/.f64 z (*.f64 y y)))))) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (*.f64 (*.f64 t t) t) #s(literal -1/3 binary64)) (/.f64 z (*.f64 y y)))))) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y))) y) z x) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64)) z) y) y)))) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 (-.f64 (/.f64 t (*.f64 x y)) (/.f64 #s(literal 1 binary64) y)) x))) y) z x) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 (-.f64 (/.f64 t (*.f64 y x)) (/.f64 #s(literal 1 binary64) y)) x))) y) z x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (*.f64 (fma.f64 (-.f64 t x) z x) (fma.f64 (-.f64 t x) z (neg.f64 x))) (fma.f64 (-.f64 t x) z (neg.f64 x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (-.f64 t x) z) z) (-.f64 t x))) (-.f64 x (*.f64 (-.f64 t x) z)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) (-.f64 t x)) (fma.f64 x (+.f64 x t) (*.f64 t t))) z))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) (-.f64 t x)) (fma.f64 x (+.f64 x t) (*.f64 t t))) z x)) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 t t))) t) (*.f64 t t))))) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y))) y) z x) |
(/.f64 (*.f64 (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y) x) (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y) (neg.f64 x))) (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y) (neg.f64 x))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y)) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y)))) (*.f64 z y))) (-.f64 x (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y)))) |
(*.f64 (*.f64 (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y) x) (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y) (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y) (neg.f64 x)))) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 (neg.f64 z) (-.f64 t x) (/.f64 (fma.f64 #s(literal 0 binary64) z (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y))) y))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z (fma.f64 z (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64) (*.f64 (*.f64 t t) t)))) (*.f64 y y)) (/.f64 #s(literal 0 binary64) y)) x))) |
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z x) |
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) |
(fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) x) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) |
(fma.f64 (fma.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) z x) |
(+.f64 x (fma.f64 (*.f64 z y) #s(approx (tanh (/ t y)) (/.f64 t y)) (*.f64 (*.f64 z y) (neg.f64 (tanh.f64 (/.f64 x y)))))) |
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (*.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/3 binary64) #s(literal -1 binary64)) x))) z x) |
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (*.f64 x (fma.f64 (*.f64 (/.f64 x (*.f64 (*.f64 y y) y)) x) #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) y))))) z) y x) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) (/.f64 x y)))))) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (/.f64 (/.f64 (*.f64 x x) (*.f64 y y)) y) (/.f64 x y)))))) |
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) |
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| Outputs |
|---|
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) |
5 calls:
| 75.0ms | y |
| 23.0ms | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 16.0ms | z |
| 15.0ms | t |
| 15.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.5% | 1 | x |
| 98.5% | 1 | y |
| 98.5% | 1 | z |
| 98.5% | 1 | t |
| 98.5% | 1 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
Compiled 39 to 28 computations (28.2% saved)
| Inputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- t x) (neg.f64 x)) z))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (-.f64 x (*.f64 z x)))) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) #s(approx (* (* (+ (* (/ z (* y y)) -1/3) (/ z (* t t))) t) (* t t)) (*.f64 z t))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 (+.f64 (/.f64 x z) t) x) z))) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) y) z x) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 #s(approx (* (+ (* (/ z (* y y)) -1/3) (/ z (* t t))) t) (/.f64 z t)) (*.f64 t t))))) |
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) x) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) y) z x) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) z) y x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 (-.f64 (/.f64 (*.f64 t z) x) z) x x))) |
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (/.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) z) (+.f64 x t)))) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))) y) z x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (+.f64 x t)) z x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 x t))) z x)) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x)))) y) z x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (fma.f64 (neg.f64 x) (/.f64 z t) (+.f64 (/.f64 x t) z)) t))) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 x x)) (/.f64 z (*.f64 y y)))))) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (*.f64 (*.f64 t t) t) #s(literal -1/3 binary64)) (/.f64 z (*.f64 y y)))))) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y))) y) z x) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64)) z) y) y)))) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 (-.f64 (/.f64 t (*.f64 x y)) (/.f64 #s(literal 1 binary64) y)) x))) y) z x) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 (-.f64 (/.f64 t (*.f64 y x)) (/.f64 #s(literal 1 binary64) y)) x))) y) z x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (*.f64 (fma.f64 (-.f64 t x) z x) (fma.f64 (-.f64 t x) z (neg.f64 x))) (fma.f64 (-.f64 t x) z (neg.f64 x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (-.f64 t x) z) z) (-.f64 t x))) (-.f64 x (*.f64 (-.f64 t x) z)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) (-.f64 t x)) (fma.f64 x (+.f64 x t) (*.f64 t t))) z))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) (-.f64 t x)) (fma.f64 x (+.f64 x t) (*.f64 t t))) z x)) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 t t))) t) (*.f64 t t))))) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y))) y) z x) |
(/.f64 (*.f64 (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y) x) (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y) (neg.f64 x))) (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y) (neg.f64 x))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y)) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y)))) (*.f64 z y))) (-.f64 x (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y)))) |
(*.f64 (*.f64 (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y) x) (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y) (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y) (neg.f64 x)))) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 (neg.f64 z) (-.f64 t x) (/.f64 (fma.f64 #s(literal 0 binary64) z (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y))) y))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z (fma.f64 z (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64) (*.f64 (*.f64 t t) t)))) (*.f64 y y)) (/.f64 #s(literal 0 binary64) y)) x))) |
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z x) |
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) |
(fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) x) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) |
(fma.f64 (fma.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) z x) |
(+.f64 x (fma.f64 (*.f64 z y) #s(approx (tanh (/ t y)) (/.f64 t y)) (*.f64 (*.f64 z y) (neg.f64 (tanh.f64 (/.f64 x y)))))) |
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (*.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/3 binary64) #s(literal -1 binary64)) x))) z x) |
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (*.f64 x (fma.f64 (*.f64 (/.f64 x (*.f64 (*.f64 y y) y)) x) #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) y))))) z) y x) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) (/.f64 x y)))))) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (/.f64 (/.f64 (*.f64 x x) (*.f64 y y)) y) (/.f64 x y)))))) |
| Outputs |
|---|
(fma.f64 (fma.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) z x) |
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z x) |
(fma.f64 (fma.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) z x) |
5 calls:
| 33.0ms | x |
| 21.0ms | t |
| 17.0ms | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 15.0ms | z |
| 14.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.9% | 3 | x |
| 76.5% | 1 | y |
| 81.0% | 3 | z |
| 84.2% | 3 | t |
| 83.2% | 3 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
Compiled 39 to 28 computations (28.2% saved)
| Inputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- t x) (neg.f64 x)) z))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (-.f64 x (*.f64 z x)))) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) #s(approx (* (* (+ (* (/ z (* y y)) -1/3) (/ z (* t t))) t) (* t t)) (*.f64 z t))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 (+.f64 (/.f64 x z) t) x) z))) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) y) z x) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 #s(approx (* (+ (* (/ z (* y y)) -1/3) (/ z (* t t))) t) (/.f64 z t)) (*.f64 t t))))) |
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) x) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) y) z x) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) z) y x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 (-.f64 (/.f64 (*.f64 t z) x) z) x x))) |
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (/.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) z) (+.f64 x t)))) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))) y) z x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (+.f64 x t)) z x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 x t))) z x)) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x)))) y) z x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (fma.f64 (neg.f64 x) (/.f64 z t) (+.f64 (/.f64 x t) z)) t))) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 x x)) (/.f64 z (*.f64 y y)))))) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (*.f64 (*.f64 t t) t) #s(literal -1/3 binary64)) (/.f64 z (*.f64 y y)))))) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y))) y) z x) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64)) z) y) y)))) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 (-.f64 (/.f64 t (*.f64 x y)) (/.f64 #s(literal 1 binary64) y)) x))) y) z x) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 (-.f64 (/.f64 t (*.f64 y x)) (/.f64 #s(literal 1 binary64) y)) x))) y) z x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (*.f64 (fma.f64 (-.f64 t x) z x) (fma.f64 (-.f64 t x) z (neg.f64 x))) (fma.f64 (-.f64 t x) z (neg.f64 x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (-.f64 t x) z) z) (-.f64 t x))) (-.f64 x (*.f64 (-.f64 t x) z)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) (-.f64 t x)) (fma.f64 x (+.f64 x t) (*.f64 t t))) z))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) (-.f64 t x)) (fma.f64 x (+.f64 x t) (*.f64 t t))) z x)) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 t t))) t) (*.f64 t t))))) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y))) y) z x) |
(/.f64 (*.f64 (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y) x) (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y) (neg.f64 x))) (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y) (neg.f64 x))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y)) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y)))) (*.f64 z y))) (-.f64 x (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y)))) |
(*.f64 (*.f64 (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y) x) (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y) (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y) (neg.f64 x)))) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 (neg.f64 z) (-.f64 t x) (/.f64 (fma.f64 #s(literal 0 binary64) z (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y))) y))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z (fma.f64 z (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64) (*.f64 (*.f64 t t) t)))) (*.f64 y y)) (/.f64 #s(literal 0 binary64) y)) x))) |
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z x) |
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) |
(fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) x) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) |
| Outputs |
|---|
(fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) x) |
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z x) |
(fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) x) |
1 calls:
| 22.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.2% | 3 | x |
Compiled 5 to 4 computations (20% saved)
| Inputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- t x) (neg.f64 x)) z))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (-.f64 x (*.f64 z x)))) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) #s(approx (* (* (+ (* (/ z (* y y)) -1/3) (/ z (* t t))) t) (* t t)) (*.f64 z t))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 (+.f64 (/.f64 x z) t) x) z))) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) y) z x) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 #s(approx (* (+ (* (/ z (* y y)) -1/3) (/ z (* t t))) t) (/.f64 z t)) (*.f64 t t))))) |
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) x) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) y) z x) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) z) y x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 (-.f64 (/.f64 (*.f64 t z) x) z) x x))) |
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (/.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) z) (+.f64 x t)))) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))) y) z x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (+.f64 x t)) z x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 x t))) z x)) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x)))) y) z x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (fma.f64 (neg.f64 x) (/.f64 z t) (+.f64 (/.f64 x t) z)) t))) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 x x)) (/.f64 z (*.f64 y y)))))) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (*.f64 (*.f64 t t) t) #s(literal -1/3 binary64)) (/.f64 z (*.f64 y y)))))) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y))) y) z x) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64)) z) y) y)))) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 (-.f64 (/.f64 t (*.f64 x y)) (/.f64 #s(literal 1 binary64) y)) x))) y) z x) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 (-.f64 (/.f64 t (*.f64 y x)) (/.f64 #s(literal 1 binary64) y)) x))) y) z x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (*.f64 (fma.f64 (-.f64 t x) z x) (fma.f64 (-.f64 t x) z (neg.f64 x))) (fma.f64 (-.f64 t x) z (neg.f64 x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (-.f64 t x) z) z) (-.f64 t x))) (-.f64 x (*.f64 (-.f64 t x) z)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) (-.f64 t x)) (fma.f64 x (+.f64 x t) (*.f64 t t))) z))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) (-.f64 t x)) (fma.f64 x (+.f64 x t) (*.f64 t t))) z x)) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 t t))) t) (*.f64 t t))))) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y))) y) z x) |
(/.f64 (*.f64 (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y) x) (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y) (neg.f64 x))) (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y) (neg.f64 x))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y)) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y)))) (*.f64 z y))) (-.f64 x (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y)))) |
(*.f64 (*.f64 (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y) x) (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y) (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y) (neg.f64 x)))) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 (neg.f64 z) (-.f64 t x) (/.f64 (fma.f64 #s(literal 0 binary64) z (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y))) y))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z (fma.f64 z (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64) (*.f64 (*.f64 t t) t)))) (*.f64 y y)) (/.f64 #s(literal 0 binary64) y)) x))) |
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z x) |
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) |
| Outputs |
|---|
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) #s(approx (* (* (+ (* (/ z (* y y)) -1/3) (/ z (* t t))) t) (* t t)) (*.f64 z t))))) |
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z x) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) #s(approx (* (* (+ (* (/ z (* y y)) -1/3) (/ z (* t t))) t) (* t t)) (*.f64 z t))))) |
3 calls:
| 15.0ms | t |
| 12.0ms | x |
| 12.0ms | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.5% | 1 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 76.5% | 1 | t |
| 81.0% | 3 | x |
Compiled 29 to 20 computations (31% saved)
| Inputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- t x) (neg.f64 x)) z))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (-.f64 x (*.f64 z x)))) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) #s(approx (* (* (+ (* (/ z (* y y)) -1/3) (/ z (* t t))) t) (* t t)) (*.f64 z t))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 (+.f64 (/.f64 x z) t) x) z))) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) y) z x) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 #s(approx (* (+ (* (/ z (* y y)) -1/3) (/ z (* t t))) t) (/.f64 z t)) (*.f64 t t))))) |
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) x) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) y) z x) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) z) y x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 (-.f64 (/.f64 (*.f64 t z) x) z) x x))) |
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (/.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) z) (+.f64 x t)))) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))) y) z x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (+.f64 x t)) z x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 x t))) z x)) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x)))) y) z x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (fma.f64 (neg.f64 x) (/.f64 z t) (+.f64 (/.f64 x t) z)) t))) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 x x)) (/.f64 z (*.f64 y y)))))) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (*.f64 (*.f64 t t) t) #s(literal -1/3 binary64)) (/.f64 z (*.f64 y y)))))) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y))) y) z x) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64)) z) y) y)))) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 (-.f64 (/.f64 t (*.f64 x y)) (/.f64 #s(literal 1 binary64) y)) x))) y) z x) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 (-.f64 (/.f64 t (*.f64 y x)) (/.f64 #s(literal 1 binary64) y)) x))) y) z x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (*.f64 (fma.f64 (-.f64 t x) z x) (fma.f64 (-.f64 t x) z (neg.f64 x))) (fma.f64 (-.f64 t x) z (neg.f64 x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (-.f64 t x) z) z) (-.f64 t x))) (-.f64 x (*.f64 (-.f64 t x) z)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) (-.f64 t x)) (fma.f64 x (+.f64 x t) (*.f64 t t))) z))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) (-.f64 t x)) (fma.f64 x (+.f64 x t) (*.f64 t t))) z x)) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) (*.f64 (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/3 binary64) (/.f64 z (*.f64 t t))) t) (*.f64 t t))))) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y))) y) z x) |
(/.f64 (*.f64 (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y) x) (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y) (neg.f64 x))) (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y) (neg.f64 x))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y)) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y)))) (*.f64 z y))) (-.f64 x (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y)))) |
(*.f64 (*.f64 (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y) x) (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y) (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) (*.f64 z y) (neg.f64 x)))) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 (neg.f64 z) (-.f64 t x) (/.f64 (fma.f64 #s(literal 0 binary64) z (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x))) (/.f64 z y))) y))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z (fma.f64 z (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 t t) t) #s(literal 1/3 binary64) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64) (*.f64 (*.f64 t t) t)))) (*.f64 y y)) (/.f64 #s(literal 0 binary64) y)) x))) |
| Outputs |
|---|
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) #s(approx (* (* (+ (* (/ z (* y y)) -1/3) (/ z (* t t))) t) (* t t)) (*.f64 z t))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) |
5 calls:
| 15.0ms | y |
| 15.0ms | z |
| 14.0ms | t |
| 12.0ms | x |
| 11.0ms | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.2% | 2 | y |
| 64.0% | 2 | t |
| 69.8% | 5 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 63.7% | 2 | z |
| 64.8% | 3 | x |
Compiled 39 to 28 computations (28.2% saved)
| Inputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- t x) (neg.f64 x)) z))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (-.f64 x (*.f64 z x)))) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) #s(approx (* (* (+ (* (/ z (* y y)) -1/3) (/ z (* t t))) t) (* t t)) (*.f64 z t))))) |
| Outputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) #s(approx (* (* (+ (* (/ z (* y y)) -1/3) (/ z (* t t))) t) (* t t)) (*.f64 z t))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (-.f64 x (*.f64 z x)))) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) #s(approx (* (* (+ (* (/ z (* y y)) -1/3) (/ z (* t t))) t) (* t t)) (*.f64 z t))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))) |
2 calls:
| 3.0ms | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 3.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.5% | 5 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 61.4% | 1 | y |
Compiled 24 to 16 computations (33.3% saved)
| Inputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- t x) (neg.f64 x)) z))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (-.f64 x (*.f64 z x)))) |
| Outputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (-.f64 x (*.f64 z x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))) |
5 calls:
| 4.0ms | x |
| 2.0ms | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 2.0ms | t |
| 2.0ms | y |
| 2.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.1% | 2 | y |
| 55.2% | 3 | x |
| 61.8% | 3 | z |
| 49.9% | 1 | t |
| 58.2% | 3 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
Compiled 39 to 28 computations (28.2% saved)
| Inputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- t x) (neg.f64 x)) z))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))) |
| Outputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))) |
5 calls:
| 2.0ms | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 2.0ms | y |
| 2.0ms | x |
| 2.0ms | z |
| 2.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 26.3% | 1 | t |
| 26.3% | 1 | x |
| 26.3% | 1 | y |
| 26.3% | 1 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 26.3% | 1 | z |
Compiled 39 to 28 computations (28.2% saved)
| Inputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- t x) (neg.f64 x)) z))) |
| Outputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- t x) (neg.f64 x)) z))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z))) |
5 calls:
| 2.0ms | y |
| 2.0ms | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 2.0ms | x |
| 2.0ms | t |
| 1.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 20.5% | 2 | z |
| 20.6% | 2 | x |
| 23.5% | 3 | t |
| 18.9% | 1 | y |
| 18.9% | 1 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
Compiled 39 to 28 computations (28.2% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z))) |
| Outputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z))) |
4 calls:
| 1.0ms | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 1.0ms | x |
| 1.0ms | t |
| 1.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 18.9% | 1 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 18.9% | 1 | z |
| 18.9% | 1 | x |
| 18.9% | 1 | t |
Compiled 34 to 24 computations (29.4% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 38.0ms | 1.883680474951007e+134 | 3.662258521442913e+137 |
| 19.0ms | -3.519257271574283e+87 | -1.681105598136596e+76 |
| 44.0ms | 282× | 0 | valid |
| 1.0ms | 6× | 1 | valid |
Compiled 706 to 415 computations (41.2% saved)
ival-div: 4.0ms (29.9% of total)ival-mult: 4.0ms (29.9% of total)ival-tanh: 3.0ms (22.5% of total)ival-add: 1.0ms (7.5% of total)ival-sub: 1.0ms (7.5% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 1.883680474951007e+134 | 3.662258521442913e+137 |
| 1.0ms | -3.519257271574283e+87 | -1.681105598136596e+76 |
| 8.0ms | 95× | 0 | valid |
| 0.0ms | 1× | 1 | valid |
Compiled 670 to 397 computations (40.7% saved)
ival-div: 3.0ms (53.9% of total)ival-mult: 1.0ms (18% of total)ival-tanh: 1.0ms (18% of total)ival-sub: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 4.365421612531921e+146 | 1.3142632020955222e+155 |
| 14.0ms | -3.2568878210212852e+246 | -1.1978460967253151e+244 |
| 19.0ms | 267× | 0 | valid |
| 1.0ms | 5× | 1 | valid |
Compiled 532 to 308 computations (42.1% saved)
ival-div: 4.0ms (31.6% of total)ival-mult: 3.0ms (23.7% of total)ival-tanh: 3.0ms (23.7% of total)ival-sub: 1.0ms (7.9% of total)ival-add: 1.0ms (7.9% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 61.0ms | 1.928043190240524e+33 | 1.469235037323713e+35 |
| 49.0ms | 4× | 1 | valid |
| 8.0ms | 108× | 0 | valid |
Compiled 197 to 117 computations (40.6% saved)
ival-add: 49.0ms (91.5% of total)ival-div: 2.0ms (3.7% of total)ival-tanh: 1.0ms (1.9% of total)ival-mult: 1.0ms (1.9% of total)adjust: 0.0ms (0% of total)ival-sub: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0865601835563775e+308 | +inf |
| 0.0ms | 3.045606345684401e-247 | 1.9303233322809632e-233 |
| 0.0ms | -2.3189078882142953e+76 | -1.681105598136596e+76 |
| 0.0ms | -inf | -4.817916934974644e+306 |
Compiled 22 to 19 computations (13.6% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 44.0ms | 3.9101519203555737e-16 | 0.06769152103693508 |
| 17.0ms | -2.5656602822196945e-5 | -7.811315293363454e-24 |
| 23.0ms | 320× | 0 | valid |
Compiled 502 to 299 computations (40.4% saved)
ival-div: 4.0ms (27.6% of total)ival-mult: 4.0ms (27.6% of total)ival-tanh: 3.0ms (20.7% of total)ival-sub: 1.0ms (6.9% of total)ival-add: 1.0ms (6.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 2.8193633303377198e-65 | 8.90041696912321e-64 |
| 16.0ms | -4.2137602972274315e-134 | -6.45515221193439e-143 |
| 18.0ms | 254× | 0 | valid |
| 0.0ms | 2× | 1 | valid |
Compiled 374 to 227 computations (39.3% saved)
ival-div: 3.0ms (25.8% of total)ival-mult: 3.0ms (25.8% of total)ival-tanh: 2.0ms (17.2% of total)ival-add: 1.0ms (8.6% of total)ival-sub: 1.0ms (8.6% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
| 30× | *-commutative_binary64 |
| 24× | +-commutative_binary64 |
| 20× | sub-neg_binary64 |
| 12× | neg-sub0_binary64 |
| 12× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 137 | 1022 |
| 1 | 162 | 1022 |
| 2 | 184 | 1022 |
| 3 | 196 | 1022 |
| 4 | 201 | 1022 |
| 5 | 202 | 1022 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) z x) |
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) |
(if (<=.f64 x #s(literal -379999999999999977952678800494196602029592886280467112721436210442976397765339426848768 binary64)) (fma.f64 (fma.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) z x) (if (<=.f64 x #s(literal 21999999999999999483034433280792250702873073898465757623012114819665147993056844762457170375726229656817119530788934493496744247033856000 binary64)) (fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z x) (fma.f64 (fma.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) z x))) |
(if (<=.f64 x #s(literal -379999999999999977952678800494196602029592886280467112721436210442976397765339426848768 binary64)) (fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) x) (if (<=.f64 x #s(literal 89999999999999998824140819089389603659360455767546053668578939836529610091835949133923923179549555734122890182368488904633289000683044864 binary64)) (fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z x) (fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) x))) |
(if (<=.f64 x #s(literal -58000000000000002813602438177827285447276845705275052785403244116442662198395849820129284809045032970821337694842460523581945875488248090025552304952508794691933949015045436199895584612217691553877968950522253226165612258307627892739656829108224 binary64)) (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) #s(approx (* (* (+ (* (/ z (* y y)) -1/3) (/ z (* t t))) t) (* t t)) (*.f64 z t))))) (if (<=.f64 x #s(literal 1899999999999999945416664620240839458355832829457492348032179122109838706149734328138984507535872105574357646661645271318014321272641519163278368964608 binary64)) (fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z x) (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) #s(approx (* (* (+ (* (/ z (* y y)) -1/3) (/ z (* t t))) t) (* t t)) (*.f64 z t))))))) |
(if (<=.f64 y #s(literal 36000000000000000346551324747235328 binary64)) (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) #s(approx (* (* (+ (* (/ z (* y y)) -1/3) (/ z (* t t))) t) (* t t)) (*.f64 z t))))) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))) |
(if (<=.f64 (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal -inf.0 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))) (if (<=.f64 (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal -20000000000000000941202689918109391783119202815733261528557419069796499062784 binary64)) (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) #s(approx (* (* (+ (* (/ z (* y y)) -1/3) (/ z (* t t))) t) (* t t)) (*.f64 z t))))) (if (<=.f64 (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal 7872201966280717/15744403932561434696684473303452629045213679255131528440951130063136634306810047014785327192773139116009306758441243430342744218096217082060889571263281690386187633395165356521866664817226721079737670210248565328244806179188238434160900023542852296724603729870848 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (-.f64 x (*.f64 z x)))) (if (<=.f64 (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal +inf.0 binary64)) (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) #s(approx (* (* (+ (* (/ z (* y y)) -1/3) (/ z (* t t))) t) (* t t)) (*.f64 z t))))) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))))))) |
(if (<=.f64 z #s(literal -5902958103587057/4722366482869645213696 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))) (if (<=.f64 z #s(literal 5908722711110091/144115188075855872 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (-.f64 x (*.f64 z x)))) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))) |
(if (<=.f64 t #s(literal -3109721077501335/1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z))) (if (<=.f64 t #s(literal 6877123763982683/118571099379011784113736688648896417641748464297615937576404566024103044751294464 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- t x) (neg.f64 x)) z))) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z))) |
| Outputs |
|---|
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) z x) |
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 y) (tanh.f64 (/.f64 x y)))) z x) |
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) |
(if (<=.f64 x #s(literal -379999999999999977952678800494196602029592886280467112721436210442976397765339426848768 binary64)) (fma.f64 (fma.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) z x) (if (<=.f64 x #s(literal 21999999999999999483034433280792250702873073898465757623012114819665147993056844762457170375726229656817119530788934493496744247033856000 binary64)) (fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z x) (fma.f64 (fma.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) z x))) |
(if (<=.f64 x #s(literal -379999999999999977952678800494196602029592886280467112721436210442976397765339426848768 binary64)) (fma.f64 (fma.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) y (*.f64 (neg.f64 y) (tanh.f64 (/.f64 x y)))) z x) (if (<=.f64 x #s(literal 21999999999999999483034433280792250702873073898465757623012114819665147993056844762457170375726229656817119530788934493496744247033856000 binary64)) (fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z x) (fma.f64 (fma.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) y (*.f64 (neg.f64 y) (tanh.f64 (/.f64 x y)))) z x))) |
(if (<=.f64 x #s(literal -379999999999999977952678800494196602029592886280467112721436210442976397765339426848768 binary64)) (fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) x) (if (<=.f64 x #s(literal 89999999999999998824140819089389603659360455767546053668578939836529610091835949133923923179549555734122890182368488904633289000683044864 binary64)) (fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z x) (fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) x))) |
(if (<=.f64 x #s(literal -58000000000000002813602438177827285447276845705275052785403244116442662198395849820129284809045032970821337694842460523581945875488248090025552304952508794691933949015045436199895584612217691553877968950522253226165612258307627892739656829108224 binary64)) (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) #s(approx (* (* (+ (* (/ z (* y y)) -1/3) (/ z (* t t))) t) (* t t)) (*.f64 z t))))) (if (<=.f64 x #s(literal 1899999999999999945416664620240839458355832829457492348032179122109838706149734328138984507535872105574357646661645271318014321272641519163278368964608 binary64)) (fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z x) (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) #s(approx (* (* (+ (* (/ z (* y y)) -1/3) (/ z (* t t))) t) (* t t)) (*.f64 z t))))))) |
(if (<=.f64 x #s(literal -58000000000000002813602438177827285447276845705275052785403244116442662198395849820129284809045032970821337694842460523581945875488248090025552304952508794691933949015045436199895584612217691553877968950522253226165612258307627892739656829108224 binary64)) (+.f64 #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) #s(approx (* (* (+ (* (/ z (* y y)) -1/3) (/ z (* t t))) t) (* t t)) (*.f64 z t)))) x) (if (<=.f64 x #s(literal 1899999999999999945416664620240839458355832829457492348032179122109838706149734328138984507535872105574357646661645271318014321272641519163278368964608 binary64)) (fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z x) (+.f64 #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) #s(approx (* (* (+ (* (/ z (* y y)) -1/3) (/ z (* t t))) t) (* t t)) (*.f64 z t)))) x))) |
(if (<=.f64 y #s(literal 36000000000000000346551324747235328 binary64)) (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) #s(approx (* (* (+ (* (/ z (* y y)) -1/3) (/ z (* t t))) t) (* t t)) (*.f64 z t))))) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))) |
(if (<=.f64 y #s(literal 36000000000000000346551324747235328 binary64)) (+.f64 #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) #s(approx (* (* (+ (* (/ z (* y y)) -1/3) (/ z (* t t))) t) (* t t)) (*.f64 z t)))) x) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))) |
(if (<=.f64 (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal -inf.0 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))) (if (<=.f64 (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal -20000000000000000941202689918109391783119202815733261528557419069796499062784 binary64)) (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) #s(approx (* (* (+ (* (/ z (* y y)) -1/3) (/ z (* t t))) t) (* t t)) (*.f64 z t))))) (if (<=.f64 (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal 7872201966280717/15744403932561434696684473303452629045213679255131528440951130063136634306810047014785327192773139116009306758441243430342744218096217082060889571263281690386187633395165356521866664817226721079737670210248565328244806179188238434160900023542852296724603729870848 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (-.f64 x (*.f64 z x)))) (if (<=.f64 (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal +inf.0 binary64)) (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) #s(approx (* (* (+ (* (/ z (* y y)) -1/3) (/ z (* t t))) t) (* t t)) (*.f64 z t))))) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))))))) |
(if (<=.f64 (+.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x) #s(literal -inf.0 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))) (if (<=.f64 (+.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x) #s(literal -20000000000000000941202689918109391783119202815733261528557419069796499062784 binary64)) (+.f64 #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) #s(approx (* (* (+ (* (/ z (* y y)) -1/3) (/ z (* t t))) t) (* t t)) (*.f64 z t)))) x) (if (<=.f64 (+.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x) #s(literal 7872201966280717/15744403932561434696684473303452629045213679255131528440951130063136634306810047014785327192773139116009306758441243430342744218096217082060889571263281690386187633395165356521866664817226721079737670210248565328244806179188238434160900023542852296724603729870848 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (-.f64 x (*.f64 z x)))) (if (<=.f64 (+.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x) #s(literal +inf.0 binary64)) (+.f64 #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* (neg z) (- t x)) (/ (+ (* 0 z) (* (- (+ (* (* -1/2 (* x x)) x) (* (* (* t t) t) 1/3)) (* -1/6 (* (* x x) x))) (/ z y))) y))) #s(approx (* (* (+ (* (/ z (* y y)) -1/3) (/ z (* t t))) t) (* t t)) (*.f64 z t)))) x) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))))))) |
(if (<=.f64 z #s(literal -5902958103587057/4722366482869645213696 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))) (if (<=.f64 z #s(literal 5908722711110091/144115188075855872 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (-.f64 x (*.f64 z x)))) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))) |
(if (<=.f64 t #s(literal -3109721077501335/1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z))) (if (<=.f64 t #s(literal 6877123763982683/118571099379011784113736688648896417641748464297615937576404566024103044751294464 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- t x) (neg.f64 x)) z))) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z))))) |
(if (<=.f64 t #s(literal -3109721077501335/1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 z t))) (if (<=.f64 t #s(literal 6877123763982683/118571099379011784113736688648896417641748464297615937576404566024103044751294464 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- t x) (neg.f64 x)) z))) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 z t))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 z t))) |
| 14 070× | lower-fma.f64 |
| 14 070× | lower-fma.f32 |
| 13 296× | lower-fma.f64 |
| 13 296× | lower-fma.f32 |
| 13 136× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 446 |
| 0 | 104 | 401 |
| 1 | 410 | 389 |
| 2 | 3378 | 389 |
| 0 | 8667 | 375 |
| 0 | 495 | 10076 |
| 1 | 1678 | 7475 |
| 2 | 7001 | 7473 |
| 0 | 8025 | 7285 |
| 0 | 904 | 32674 |
| 1 | 3035 | 28340 |
| 0 | 9008 | 27619 |
| 0 | 794 | 37534 |
| 1 | 2659 | 28528 |
| 0 | 9068 | 27731 |
| 0 | 914 | 34950 |
| 1 | 3051 | 30466 |
| 0 | 9025 | 29682 |
| 0 | 12 | 48 |
| 0 | 20 | 48 |
| 1 | 99 | 48 |
| 2 | 871 | 48 |
| 0 | 8208 | 47 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 1 011 to 412 computations (59.2% saved)
(abs y)
Compiled 924 to 272 computations (70.6% saved)
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