
Time bar (total: 13.1s)
| 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)
| 997.0ms | 8 034× | 0 | valid |
| 35.0ms | 222× | 1 | valid |
ival-div: 140.0ms (30.3% of total)ival-mult: 140.0ms (30.3% of total)ival-tanh: 78.0ms (16.9% of total)ival-add: 48.0ms (10.4% of total)ival-sub: 43.0ms (9.3% of total)ival-true: 7.0ms (1.5% of total)adjust: 5.0ms (1.1% of total)ival-assert: 3.0ms (0.6% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 13 | 0 | - | 1 | (-8.997269529682948e-276 -9.139827733914393e+235 5.1652844573059875e-226 -1.7632455062668456e-80) | (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
| 1 | 0 | - | 0 | - | (-.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 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 | 10 | 0 |
*.f64 | (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) | o*u | 1 | 0 |
| ↳ | (*.f64 y z) | overflow | 30 | |
| ↳ | (/.f64 t y) | underflow | 17 | |
| ↳ | (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) | underflow | 37 | |
| ↳ | (tanh.f64 (/.f64 x y)) | underflow | 33 | |
| ↳ | (/.f64 x y) | underflow | 33 | |
| ↳ | (tanh.f64 (/.f64 t y)) | underflow | 17 | |
*.f64 | (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) | n*u | 1 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 12 | 0 |
| - | 0 | 244 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 12 | 0 | 0 |
| - | 0 | 0 | 244 |
| number | freq |
|---|---|
| 0 | 244 |
| 1 | 12 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 37.0ms | 442× | 0 | valid |
| 29.0ms | 66× | 2 | valid |
| 2.0ms | 2× | 3 | valid |
| 0.0ms | 2× | 1 | valid |
Compiled 139 to 40 computations (71.2% saved)
ival-div: 10.0ms (29.4% of total)ival-tanh: 7.0ms (20.6% of total)ival-mult: 7.0ms (20.6% of total)ival-sub: 3.0ms (8.8% of total)ival-add: 3.0ms (8.8% of total)adjust: 2.0ms (5.9% 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 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x) |
(abs y)
Compiled 19 to 12 computations (36.8% saved)
Compiled 4 to 4 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 95.5% | (+.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 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x) |
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) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.01171875 | (tanh.f64 (/.f64 t y)) | |
| accuracy | 0.015625 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) | |
| accuracy | 0.049181980663730605 | (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) | |
| accuracy | 3.0286005557910136 | (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
| 21.0ms | 221× | 0 | valid |
| 9.0ms | 33× | 2 | valid |
| 1.0ms | 1× | 3 | valid |
| 0.0ms | 1× | 1 | valid |
Compiled 60 to 14 computations (76.7% saved)
ival-div: 5.0ms (30.6% of total)ival-mult: 4.0ms (24.5% of total)ival-tanh: 3.0ms (18.3% of total)ival-add: 2.0ms (12.2% of total)adjust: 1.0ms (6.1% of total)ival-sub: 1.0ms (6.1% 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 t y)) (patch (tanh.f64 (/.f64 t y)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))) (taylor 0 x) (#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 (+ 1 (* -1 z))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))) (taylor 0 x) (#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 (+ 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)))))))))) (taylor 0 x) (#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 (+ 1 (+ (* -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)))))))))) (taylor 0 x) (#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 (taylor inf x) (#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 (+ 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))) (taylor inf x) (#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 (+ 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))) (taylor inf x) (#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 (+ 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))) (taylor inf x) (#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 (taylor -inf x) (#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 (* -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))) (taylor -inf x) (#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 (* -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))) (taylor -inf x) (#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 (* -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))) (taylor -inf x) (#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 (taylor 0 y) (#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 0 y) (#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 0 y) (#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 0 y) (#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 (* z (- t x))) (taylor inf y) (#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>) () ())) ()) |
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45 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 16.0ms | z | @ | 0 | (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) |
| 8.0ms | y | @ | inf | (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) |
| 6.0ms | t | @ | -inf | (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) |
| 3.0ms | y | @ | -inf | (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) |
| 3.0ms | t | @ | inf | (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) |
| 1× | egg-herbie |
| 9 934× | lower-fma.f64 |
| 9 934× | lower-fma.f32 |
| 3 770× | lower-*.f64 |
| 3 770× | lower-*.f32 |
| 3 548× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 439 | 9242 |
| 1 | 1484 | 6963 |
| 2 | 6159 | 6572 |
| 0 | 9215 | 6439 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))) |
(+ (* x (+ 1 (* -1 z))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))) |
(+ (* 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)))))))))) |
(+ (* x (+ 1 (+ (* -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)))))))))) |
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))) |
(* 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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(* -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)) |
(* -1 (/ (+ (* -1 t) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (+ (* 1/12 (pow t 4)) (* t (+ (* -1/6 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))))))) (+ (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2)))) (* 1/2 (* t (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))))) y)) (* 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)) |
| Outputs |
|---|
(* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))) |
(/.f64 (*.f64 (*.f64 y z) (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y)))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y)))) |
(+ (* x (+ 1 (* -1 z))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))) |
(fma.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y)))) (*.f64 y z) (-.f64 x (*.f64 z x))) |
(+ (* 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)))))))))) |
(fma.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y)))) (*.f64 y z) (fma.f64 x (fma.f64 x (*.f64 x (*.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)))) (neg.f64 z)) x)) |
(+ (* x (+ 1 (+ (* -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)))))))))) |
(fma.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y)))) (*.f64 y z) (fma.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 x x) #s(literal -2/15 binary64)) (/.f64 z (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)))) (neg.f64 z)) x)) |
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))) |
(fma.f64 (*.f64 x y) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))))) (/.f64 z x)) 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))) |
(fma.f64 (*.f64 x y) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))))) (/.f64 z x)) 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))) |
(fma.f64 (*.f64 x y) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))))) (/.f64 z 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 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))))) (*.f64 y z)) (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 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))))) (*.f64 y z)) (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 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))))) (*.f64 y z)) (neg.f64 x)) (neg.f64 x) x) |
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)))))))))) |
(fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))))) (*.f64 y z) 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)))))))))) |
(fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))))) (*.f64 y z) 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)))))))))) |
(fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))))) (*.f64 y z) x) |
(+ x (* z (- t x))) |
(fma.f64 z (-.f64 t x) x) |
(+ x (+ (* z (- t x)) (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y))) |
(fma.f64 z (-.f64 t x) x) |
(+ x (+ (* z (- t x)) (+ (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y) (/ (* z (- (+ (* 1/2 (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3))))) (* 1/2 (pow x 3))) (+ (* 1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3))))) (* 1/2 (pow t 3))))) (pow y 2))))) |
(fma.f64 z (-.f64 t x) (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 t t)) t (*.f64 x (*.f64 x x))) (fma.f64 t (*.f64 t t) (*.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))))) (/.f64 z (*.f64 y y)) x)) |
(+ x (+ (* z (- t x)) (+ (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y) (+ (/ (* z (- (+ (* -1/2 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))))) (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (* 1/2 (+ (* -1 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/6 (pow t 3)))))) (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (* 1/12 (pow t 4)))))))) (+ (* -1/2 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (* -1/2 (pow t 3))))) (+ (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2)))) (* 1/2 (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4)))))))))) (pow y 3)) (/ (* z (- (+ (* 1/2 (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3))))) (* 1/2 (pow x 3))) (+ (* 1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3))))) (* 1/2 (pow t 3))))) (pow y 2)))))) |
(fma.f64 z (-.f64 t x) (fma.f64 z (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 t t)) t (*.f64 x (*.f64 x x))) (fma.f64 t (*.f64 t t) (*.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))))) (*.f64 y y)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 t (neg.f64 (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/6 binary64)))) (fma.f64 #s(literal 1/4 binary64) (*.f64 t (*.f64 t (*.f64 t t))) (*.f64 (*.f64 t (*.f64 t (*.f64 t t))) #s(literal -1/12 binary64)))) (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (neg.f64 x) (fma.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/12 binary64)))))) (*.f64 y (*.f64 y y)))) x)) |
(+ x (* -1 (* z (- (* -1 t) (* -1 x))))) |
(fma.f64 z (-.f64 t x) x) |
(+ x (+ (* -1 (* z (- (* -1 t) (* -1 x)))) (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y))) |
(fma.f64 z (-.f64 t x) x) |
(+ x (+ (* -1 (* z (- (* -1 t) (* -1 x)))) (* -1 (/ (+ (* -1 (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))))) (/ (* z (- (+ (* -1/2 (pow x 3)) (* 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)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))))) y)) y)))) |
(-.f64 (fma.f64 z (-.f64 t x) x) (/.f64 (fma.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) (/.f64 z y) #s(literal 0 binary64)) y)) |
(+ x (+ (* -1 (* z (- (* -1 t) (* -1 x)))) (* -1 (/ (+ (* -1 (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))))) (* -1 (/ (+ (* -1 (* z (- (+ (* -1/2 (pow x 3)) (* 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)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))))) (/ (* z (- (+ (* 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))))))) (* 1/2 (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (+ (* 1/12 (pow t 4)) (* t (+ (* -1/6 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))))))))) (+ (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2)))) (+ (* 1/2 (* t (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))) (* 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))))))))))))))) y)) y))) y)))) |
(-.f64 (fma.f64 z (-.f64 t x) x) (/.f64 (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal -1/6 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 t (*.f64 t (*.f64 t t))) (*.f64 (*.f64 t (*.f64 t (*.f64 t t))) #s(literal -1/12 binary64)))) (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal -1/6 binary64) x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/12 binary64)))))) (/.f64 z y)) (*.f64 z (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))) (neg.f64 y)) y)) |
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)))))))))) |
(fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))))) (*.f64 y z) 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)))))))))) |
(fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))))) (*.f64 y z) 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)))))))))) |
(fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))))) (*.f64 y z) x) |
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(/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y)))) |
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y)))) |
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y)))) |
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y)))) |
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y)))) |
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y)))) |
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y)))) |
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y)))) |
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y)))) |
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y)))) |
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y)))) |
(/ t y) |
(/.f64 t y) |
(/ (+ t (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y))) y) |
(/.f64 (+.f64 t #s(literal 0 binary64)) y) |
(/ (- (+ t (+ (* 1/2 (/ (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y)))) (* 1/2 (/ (pow t 3) (pow y 2)))) y) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (*.f64 (*.f64 t t) (*.f64 t #s(literal 1/3 binary64))) (*.f64 y y)) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y y))) t) y) |
(/ (- (+ t (+ (* 1/2 (/ (+ (* -1 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/6 (pow t 3)))))) (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (* 1/12 (pow t 4))))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y))))) (+ (* -1/2 (/ (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (* -1/2 (pow t 3)))) (pow y 3))) (+ (* 1/4 (/ (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2))) (pow y 3))) (* 1/2 (/ (pow t 3) (pow y 2)))))) y) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y y)) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 (*.f64 t t) (*.f64 t #s(literal 1/3 binary64))) (*.f64 y y)) (/.f64 (fma.f64 t (neg.f64 (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/6 binary64)))) (fma.f64 #s(literal 1/4 binary64) (*.f64 t (*.f64 t (*.f64 t t))) (*.f64 (*.f64 t (*.f64 t (*.f64 t t))) #s(literal -1/12 binary64)))) (*.f64 y (*.f64 y y)))) t)) y) |
(/ t y) |
(/.f64 t y) |
(* -1 (/ (+ (* -1 t) (* -1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y))) y)) |
(/.f64 (+.f64 t #s(literal 0 binary64)) 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)) |
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 t t) (*.f64 t #s(literal 1/3 binary64))) (*.f64 y y)) t) (neg.f64 y)) |
(* -1 (/ (+ (* -1 t) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (+ (* 1/12 (pow t 4)) (* t (+ (* -1/6 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))))))) (+ (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2)))) (* 1/2 (* t (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))))) y)) (* 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)) |
(/.f64 (+.f64 t (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 t t) (*.f64 t #s(literal 1/3 binary64))) (*.f64 (fma.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal -1/6 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 t (*.f64 t (*.f64 t t))) (*.f64 (*.f64 t (*.f64 t (*.f64 t t))) #s(literal -1/12 binary64)))) (/.f64 #s(literal 1/2 binary64) y))) (neg.f64 y)) y)) 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 | 44 |
| 0 | 20 | 44 |
| 1 | 99 | 44 |
| 2 | 871 | 44 |
| 0 | 8208 | 43 |
| 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 t y)) |
| Outputs |
|---|
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(+.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x) |
(+.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) (neg.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) (/.f64 (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x)))) |
(fma.f64 x #s(literal 1 binary64) (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(fma.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x) |
(fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x) |
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x) |
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) (neg.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))))) |
(fma.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y x) |
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) |
(fma.f64 (*.f64 (*.f64 y z) (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)))) x) |
(fma.f64 (*.f64 (*.f64 y z) (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x) |
(fma.f64 (*.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64))) (*.f64 y z)) (/.f64 #s(literal 1 binary64) (fma.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)))) x) |
(fma.f64 (*.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 2 binary64))) (*.f64 y z)) (/.f64 #s(literal 1 binary64) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x) |
(neg.f64 (/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x)) (*.f64 x x))))) |
(neg.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64))) (neg.f64 (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x)) (*.f64 x x)))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)))) (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (fma.f64 x x (*.f64 (neg.f64 (*.f64 x (*.f64 y z))) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (*.f64 x x)))) |
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x)) (*.f64 x x))) |
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (fma.f64 x x (*.f64 (neg.f64 (*.f64 x (*.f64 y z))) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64))) (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x)) (*.f64 x x)))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (fma.f64 x x (*.f64 (neg.f64 (*.f64 x (*.f64 y z))) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) (*.f64 (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)))) (*.f64 (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x)) (*.f64 x x))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x)))) |
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(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y))))) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (/.f64 t y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (/.f64 t y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))) (/.f64 (exp.f64 (/.f64 t y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))) (fma.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))) (*.f64 (/.f64 (exp.f64 (/.f64 t y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) y)) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) y)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) y)) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) y)))) (/.f64 (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) y)) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) y)))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) y)))) (*.f64 (/.f64 (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) y)) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) y)))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y)) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y)))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y)))) (fma.f64 (/.f64 (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y)) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y)))) (/.f64 (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y)) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y)))) (/.f64 (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y)) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y)))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 (/.f64 t y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))) (/.f64 (exp.f64 (/.f64 t y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))))) (*.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))))) (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) y)) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) y)))) (/.f64 (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) y)) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) y))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) y)))))) (+.f64 (/.f64 (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) y)) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) y)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y))))) (*.f64 (/.f64 (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y)) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y)))) (/.f64 (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y)) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y)))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y)))) (/.f64 (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y)) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y)))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 t y))) #s(literal -1 binary64)) |
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))))) |
(*.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 t y))) |
(*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (/.f64 t y)) (cosh.f64 (/.f64 t y)))) |
(*.f64 (expm1.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y))))) |
(*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 (/.f64 t y))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 (/.f64 t y))))) |
(*.f64 (neg.f64 (expm1.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) y)))))) |
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y)))))) |
(tanh.f64 (/.f64 t y)) |
Compiled 19 954 to 1 601 computations (92% saved)
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 440 | 7 | 447 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 441 | 7 | 448 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.2% | (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) |
| 39.0% | (+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 t t) (*.f64 t #s(literal 1/3 binary64))) (*.f64 y y)) t) (neg.f64 y))) (tanh.f64 (/.f64 x y))))) | |
| 63.8% | (+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))) | |
| ▶ | 51.7% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) |
| ▶ | 23.4% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 (/.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) y) y) (-.f64 x t)) (neg.f64 y))))) |
| ▶ | 60.7% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)) |
| ▶ | 25.8% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (-.f64 (fma.f64 z (-.f64 t x) x) (/.f64 (fma.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) (/.f64 z y) #s(literal 0 binary64)) y))) |
Compiled 358 to 204 computations (43% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 128 | (/.f64 (+.f64 (/.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) y) y) (-.f64 x t)) (neg.f64 y)) | |
| cost-diff | 128 | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 (/.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) y) y) (-.f64 x t)) (neg.f64 y))))) | |
| cost-diff | 384 | (/.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) y) y) | |
| cost-diff | 1024 | (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) | |
| cost-diff | 64 | (fma.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) (/.f64 z y) #s(literal 0 binary64)) | |
| cost-diff | 320 | (-.f64 (fma.f64 z (-.f64 t x) x) (/.f64 (fma.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) (/.f64 z y) #s(literal 0 binary64)) y)) | |
| cost-diff | 384 | (/.f64 (fma.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) (/.f64 z y) #s(literal 0 binary64)) y) | |
| cost-diff | 1024 | (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) | |
| cost-diff | 0 | #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) | |
| cost-diff | 0 | (*.f64 y z) | |
| cost-diff | 0 | (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) | |
| cost-diff | 128 | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) | |
| cost-diff | 0 | (-.f64 t x) | |
| cost-diff | 0 | (fma.f64 z (-.f64 t x) x) | |
| cost-diff | 0 | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) 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) |
| 12 774× | lower-fma.f32 |
| 12 764× | lower-fma.f64 |
| 5 324× | lower-*.f32 |
| 5 304× | lower-*.f64 |
| 5 292× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 702 |
| 0 | 92 | 696 |
| 1 | 192 | 634 |
| 2 | 408 | 556 |
| 3 | 1053 | 550 |
| 4 | 3436 | 550 |
| 0 | 8160 | 531 |
| 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 z (-.f64 t x) x)) |
(fma.f64 z (-.f64 t x) x) |
z |
(-.f64 t x) |
t |
x |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) |
x |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) |
(*.f64 y z) |
y |
z |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) |
(/.f64 (-.f64 t x) y) |
(-.f64 t x) |
t |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (-.f64 (fma.f64 z (-.f64 t x) x) (/.f64 (fma.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) (/.f64 z y) #s(literal 0 binary64)) y))) |
(-.f64 (fma.f64 z (-.f64 t x) x) (/.f64 (fma.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) (/.f64 z y) #s(literal 0 binary64)) y)) |
(fma.f64 z (-.f64 t x) x) |
z |
(-.f64 t x) |
t |
x |
(/.f64 (fma.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) (/.f64 z y) #s(literal 0 binary64)) y) |
(fma.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) (/.f64 z y) #s(literal 0 binary64)) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) |
(*.f64 (*.f64 x x) #s(literal -1/2 binary64)) |
(*.f64 x x) |
#s(literal -1/2 binary64) |
(fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 t t) #s(literal 1/3 binary64)) |
(*.f64 t t) |
#s(literal 1/3 binary64) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
#s(literal 1/6 binary64) |
(/.f64 z y) |
y |
#s(literal 0 binary64) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 (/.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) y) y) (-.f64 x t)) (neg.f64 y))))) |
x |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 (/.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) y) y) (-.f64 x t)) (neg.f64 y)))) |
(*.f64 y z) |
y |
z |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 (/.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) y) y) (-.f64 x t)) (neg.f64 y))) |
(/.f64 (+.f64 (/.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) y) y) (-.f64 x t)) (neg.f64 y)) |
(+.f64 (/.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) y) y) (-.f64 x t)) |
(/.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) y) y) |
(/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) y) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) |
(*.f64 (*.f64 x x) #s(literal -1/2 binary64)) |
(*.f64 x x) |
#s(literal -1/2 binary64) |
(fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) |
t |
(*.f64 (*.f64 t t) #s(literal 1/3 binary64)) |
(*.f64 t t) |
#s(literal 1/3 binary64) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
#s(literal 1/6 binary64) |
(-.f64 x t) |
(neg.f64 y) |
| Outputs |
|---|
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) |
(fma.f64 y (*.f64 z (-.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 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x 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 z (-.f64 t x) x)) |
(fma.f64 z (-.f64 t x) x) |
z |
(-.f64 t x) |
t |
x |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) |
(fma.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x) |
x |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) |
(*.f64 y z) |
y |
z |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) |
(/.f64 (-.f64 t x) y) |
(-.f64 t x) |
t |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (-.f64 (fma.f64 z (-.f64 t x) x) (/.f64 (fma.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) (/.f64 z y) #s(literal 0 binary64)) y))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (+.f64 t (-.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal -1/3 binary64))) (*.f64 y y)) x)) x)) |
(-.f64 (fma.f64 z (-.f64 t x) x) (/.f64 (fma.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) (/.f64 z y) #s(literal 0 binary64)) y)) |
(fma.f64 z (+.f64 t (-.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal -1/3 binary64))) (*.f64 y y)) x)) x) |
(fma.f64 z (-.f64 t x) x) |
z |
(-.f64 t x) |
t |
x |
(/.f64 (fma.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) (/.f64 z y) #s(literal 0 binary64)) y) |
(/.f64 (*.f64 z (fma.f64 t (*.f64 t (*.f64 t #s(literal 1/3 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64))))) (*.f64 y y)) |
(fma.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) (/.f64 z y) #s(literal 0 binary64)) |
(/.f64 (*.f64 z (fma.f64 t (*.f64 t (*.f64 t #s(literal 1/3 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64))))) y) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) |
(fma.f64 t (*.f64 t (*.f64 t #s(literal 1/3 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)))) |
(*.f64 (*.f64 x x) #s(literal -1/2 binary64)) |
(*.f64 x (*.f64 x #s(literal -1/2 binary64))) |
(*.f64 x x) |
#s(literal -1/2 binary64) |
(fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) |
(fma.f64 #s(literal 1/3 binary64) (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) |
(*.f64 (*.f64 t t) #s(literal 1/3 binary64)) |
(*.f64 t (*.f64 t #s(literal 1/3 binary64))) |
(*.f64 t t) |
#s(literal 1/3 binary64) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
#s(literal 1/6 binary64) |
(/.f64 z y) |
y |
#s(literal 0 binary64) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 (/.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) y) y) (-.f64 x t)) (neg.f64 y))))) |
(fma.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 t (-.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal -1/3 binary64))) (*.f64 y y)) x)) y))) x) |
x |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 (/.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) y) y) (-.f64 x t)) (neg.f64 y)))) |
(*.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 t (-.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal -1/3 binary64))) (*.f64 y y)) x)) y)))) |
(*.f64 y z) |
y |
z |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 (/.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) y) y) (-.f64 x t)) (neg.f64 y))) |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 t (-.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal -1/3 binary64))) (*.f64 y y)) x)) y)) |
(/.f64 (+.f64 (/.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) y) y) (-.f64 x t)) (neg.f64 y)) |
(/.f64 (+.f64 t (-.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal -1/3 binary64))) (*.f64 y y)) x)) y) |
(+.f64 (/.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) y) y) (-.f64 x t)) |
(+.f64 (/.f64 (fma.f64 t (*.f64 t (*.f64 t #s(literal 1/3 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)))) (*.f64 y y)) (-.f64 x t)) |
(/.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) y) y) |
(/.f64 (fma.f64 t (*.f64 t (*.f64 t #s(literal 1/3 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)))) (*.f64 y y)) |
(/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) y) |
(/.f64 (fma.f64 t (*.f64 t (*.f64 t #s(literal 1/3 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)))) y) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) |
(fma.f64 t (*.f64 t (*.f64 t #s(literal 1/3 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)))) |
(*.f64 (*.f64 x x) #s(literal -1/2 binary64)) |
(*.f64 x (*.f64 x #s(literal -1/2 binary64))) |
(*.f64 x x) |
#s(literal -1/2 binary64) |
(fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) |
(fma.f64 #s(literal 1/3 binary64) (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) |
t |
(*.f64 (*.f64 t t) #s(literal 1/3 binary64)) |
(*.f64 t (*.f64 t #s(literal 1/3 binary64))) |
(*.f64 t t) |
#s(literal 1/3 binary64) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
#s(literal 1/6 binary64) |
(-.f64 x t) |
(neg.f64 y) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 3.8225783661255917 | (/.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) y) y) | |
| accuracy | 6.636469278543394 | (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) y) | |
| accuracy | 16.69130991921946 | (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) | |
| accuracy | 42.031866249844356 | #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 (/.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) y) y) (-.f64 x t)) (neg.f64 y))) | |
| accuracy | 9.218194579503987 | (fma.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) (/.f64 z y) #s(literal 0 binary64)) | |
| accuracy | 10.089790081585354 | (-.f64 (fma.f64 z (-.f64 t x) x) (/.f64 (fma.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) (/.f64 z y) #s(literal 0 binary64)) y)) | |
| accuracy | 16.69130991921946 | (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) | |
| accuracy | 40.677018893172956 | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (-.f64 (fma.f64 z (-.f64 t x) x) (/.f64 (fma.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) (/.f64 z y) #s(literal 0 binary64)) y))) | |
| accuracy | 0.0078125 | (/.f64 (-.f64 t x) y) | |
| accuracy | 0.015625 | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) | |
| accuracy | 3.0286005557910136 | (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) | |
| accuracy | 40.771211595873126 | #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) | |
| accuracy | 0 | (-.f64 t x) | |
| accuracy | 0.00390625 | (fma.f64 z (-.f64 t x) x) | |
| accuracy | 25.141671633854255 | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)) | |
| accuracy | 0.0078125 | (tanh.f64 (/.f64 x y)) | |
| accuracy | 0.01171875 | (tanh.f64 (/.f64 t y)) | |
| accuracy | 0.049181980663730605 | (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) | |
| accuracy | 0.6057681023810185 | (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) |
| 111.0ms | 221× | 0 | valid |
| 27.0ms | 33× | 2 | valid |
| 2.0ms | 1× | 3 | valid |
| 2.0ms | 1× | 1 | valid |
Compiled 571 to 46 computations (91.9% saved)
ival-div: 28.0ms (25.8% of total)ival-mult: 27.0ms (24.9% of total)ival-tanh: 26.0ms (24% of total)ival-add: 9.0ms (8.3% of total)const: 7.0ms (6.5% of total)adjust: 5.0ms (4.6% of total)ival-sub: 5.0ms (4.6% of total)ival-neg: 1.0ms (0.9% 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 z (-.f64 t x) x)) (patch #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 z (-.f64 t x) x) (patch (fma.f64 z (-.f64 t x) x) #<representation binary64>) () ()) |
#s(alt (-.f64 t x) (patch (-.f64 t x) #<representation binary64>) () ()) |
#s(alt (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) (patch (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) (patch (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) #<representation binary64>) () ()) |
#s(alt (*.f64 y z) (patch (*.f64 y z) #<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 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) (patch (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) (/.f64 z y) #s(literal 0 binary64)) y) (patch (/.f64 (fma.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) (/.f64 z y) #s(literal 0 binary64)) y) #<representation binary64>) () ()) |
#s(alt (-.f64 (fma.f64 z (-.f64 t x) x) (/.f64 (fma.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) (/.f64 z y) #s(literal 0 binary64)) y)) (patch (-.f64 (fma.f64 z (-.f64 t x) x) (/.f64 (fma.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) (/.f64 z y) #s(literal 0 binary64)) y)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) (/.f64 z y) #s(literal 0 binary64)) (patch (fma.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) (/.f64 z y) #s(literal 0 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) y) y) (patch (/.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) y) y) #<representation binary64>) () ()) |
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#s(alt (tanh.f64 (/.f64 x y)) (patch (tanh.f64 (/.f64 x y)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 t x) y) (patch (/.f64 (-.f64 t x) y) #<representation binary64>) () ()) |
#s(alt #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (-.f64 (fma.f64 z (-.f64 t x) x) (/.f64 (fma.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) (/.f64 z y) #s(literal 0 binary64)) y))) (patch #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (-.f64 (fma.f64 z (-.f64 t x) x) (/.f64 (fma.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) (/.f64 z y) #s(literal 0 binary64)) y))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 (/.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) y) y) (-.f64 x t)) (neg.f64 y))) (patch #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 (/.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) y) y) (-.f64 x t)) (neg.f64 y))) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) y) (patch (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) y) #<representation binary64>) () ()) |
| Outputs |
|---|
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#s(alt x (taylor 0 y) (#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 (* 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 0 y) (#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 (* 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 0 y) (#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>) () ())) ()) |
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#s(alt (+ x (+ (* z (- t x)) (+ (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y) (/ (* z (- (+ (* 1/2 (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3))))) (* 1/2 (pow x 3))) (+ (* 1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3))))) (* 1/2 (pow t 3))))) (pow y 2))))) (taylor inf y) (#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 (+ (* z (- t x)) (+ (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y) (+ (/ (* z (- (+ (* -1/2 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))))) (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (* 1/2 (+ (* -1 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/6 (pow t 3)))))) (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (* 1/12 (pow t 4)))))))) (+ (* -1/2 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (* -1/2 (pow t 3))))) (+ (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2)))) (* 1/2 (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4)))))))))) (pow y 3)) (/ (* z (- (+ (* 1/2 (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3))))) (* 1/2 (pow x 3))) (+ (* 1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3))))) (* 1/2 (pow t 3))))) (pow y 2)))))) (taylor inf y) (#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 (* -1 (* z (- (* -1 t) (* -1 x))))) (taylor -inf y) (#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 (+ (* -1 (* z (- (* -1 t) (* -1 x)))) (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y))) (taylor -inf y) (#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>) () ())) ()) |
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219 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 33.0ms | t | @ | inf | (/ (+ (* (+ (* x (* (* x x) -1/2)) (+ (* t (* (* t t) 1/3)) (* x (* (* x x) 1/6)))) (/ z y)) 0) y) |
| 3.0ms | y | @ | inf | (/ (+ (/ (/ (+ (* x (* (* x x) -1/2)) (+ (* t (* (* t t) 1/3)) (* x (* (* x x) 1/6)))) y) y) (- x t)) (neg y)) |
| 2.0ms | z | @ | 0 | (/ (+ (* (+ (* x (* (* x x) -1/2)) (+ (* t (* (* t t) 1/3)) (* x (* (* x x) 1/6)))) (/ z y)) 0) y) |
| 2.0ms | z | @ | inf | (/ (+ (* (+ (* x (* (* x x) -1/2)) (+ (* t (* (* t t) 1/3)) (* x (* (* x x) 1/6)))) (/ z y)) 0) y) |
| 2.0ms | y | @ | 0 | (/ (+ (* (+ (* x (* (* x x) -1/2)) (+ (* t (* (* t t) 1/3)) (* x (* (* x x) 1/6)))) (/ z y)) 0) y) |
| 1× | egg-herbie |
| 11 446× | lower-fma.f64 |
| 11 446× | lower-fma.f32 |
| 6 454× | lower-+.f64 |
| 6 454× | lower-+.f32 |
| 5 352× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 924 | 35485 |
| 1 | 3076 | 31081 |
| 0 | 8601 | 30173 |
| 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)))))))))) |
(+ 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)))))))))) |
(+ 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)))))))))) |
(+ 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)))))))))) |
(+ 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)))))))))) |
(+ 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)))))))))) |
(+ 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)))))))))) |
(+ 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)))))))))) |
(+ 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)))))))))) |
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)))))))))) |
(+ 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)))))))))) |
(+ 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)))))))))) |
(+ x (* z (- t x))) |
(+ x (+ (* z (- t x)) (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y))) |
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(+ x (+ (* z (- t x)) (+ (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y) (+ (/ (* z (- (+ (* -1/2 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))))) (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (* 1/2 (+ (* -1 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/6 (pow t 3)))))) (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (* 1/12 (pow t 4)))))))) (+ (* -1/2 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (* -1/2 (pow t 3))))) (+ (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2)))) (* 1/2 (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4)))))))))) (pow y 3)) (/ (* z (- (+ (* 1/2 (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3))))) (* 1/2 (pow x 3))) (+ (* 1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3))))) (* 1/2 (pow t 3))))) (pow y 2)))))) |
(+ x (* -1 (* z (- (* -1 t) (* -1 x))))) |
(+ x (+ (* -1 (* z (- (* -1 t) (* -1 x)))) (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y))) |
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(* 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 (+ (* -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)))))))))) |
(+ (* x (+ 1 (+ (* -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)))))))))) |
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 |
(* -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))) |
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)))))))))) |
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x |
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(- (+ (* t z) (* x (+ 1 (* -1 z)))) (* 1/3 (/ (* (pow t 3) z) (pow y 2)))) |
(- (+ (* t z) (* x (+ 1 (+ (* -1 z) (* 1/3 (/ (* (pow x 2) z) (pow y 2))))))) (* 1/3 (/ (* (pow t 3) z) (pow y 2)))) |
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(* 1/3 (/ (* (pow x 3) z) (pow y 2))) |
(* (pow x 3) (- (+ (* -1 (/ z (pow x 2))) (/ 1 (pow x 2))) (* -1/3 (/ z (pow y 2))))) |
(* (pow x 3) (- (+ (* -1 (/ z (pow x 2))) (+ (/ 1 (pow x 2)) (/ (* t z) (pow x 3)))) (+ (* -1/3 (/ z (pow y 2))) (* 1/3 (/ (* (pow t 3) z) (* (pow x 3) (pow y 2))))))) |
(* (pow x 3) (- (+ (* -1 (/ z (pow x 2))) (+ (/ 1 (pow x 2)) (/ (* t z) (pow x 3)))) (+ (* -1/3 (/ z (pow y 2))) (* 1/3 (/ (* (pow t 3) z) (* (pow x 3) (pow y 2))))))) |
(* 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 2)))))) |
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(* -1 (* (pow x 3) (- (+ (* -1 (/ (- (* t z) (* 1/3 (/ (* (pow t 3) z) (pow y 2)))) (pow x 3))) (/ z (pow x 2))) (+ (* 1/3 (/ z (pow y 2))) (/ 1 (pow x 2)))))) |
(* -1 (/ (* z (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* 1/3 (pow t 3))))) (pow y 2))) |
(/ (- (* (pow y 2) (+ x (* z (- t x)))) (* z (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* 1/3 (pow t 3)))))) (pow y 2)) |
(/ (- (* (pow y 2) (+ x (* z (- t x)))) (* z (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* 1/3 (pow t 3)))))) (pow y 2)) |
(/ (- (* (pow y 2) (+ x (* z (- t x)))) (* z (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* 1/3 (pow t 3)))))) (pow y 2)) |
(+ x (* z (- t x))) |
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(+ x (* z (- t x))) |
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(+ x (+ (* -1 (/ (* z (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* 1/3 (pow t 3))))) (pow y 2))) (* z (- t x)))) |
(* 1/3 (/ (* (pow t 3) z) y)) |
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(* -1/3 (/ (* (pow x 3) z) y)) |
(* (pow x 3) (+ (* -1/3 (/ z y)) (* 1/3 (/ (* (pow t 3) z) (* (pow x 3) y))))) |
(* (pow x 3) (+ (* -1/3 (/ z y)) (* 1/3 (/ (* (pow t 3) z) (* (pow x 3) y))))) |
(* (pow x 3) (+ (* -1/3 (/ z y)) (* 1/3 (/ (* (pow t 3) z) (* (pow x 3) 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))))) |
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(* -1 (* (pow x 3) (+ (* -1/3 (/ (* (pow t 3) z) (* (pow x 3) y))) (* 1/3 (/ z y))))) |
(/ (* z (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))) y) |
(+ (* 1/3 (/ (* (pow t 3) z) y)) (/ (* z (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))) y)) |
(+ (* 1/3 (/ (* (pow t 3) z) y)) (/ (* z (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))) y)) |
(+ (* 1/3 (/ (* (pow t 3) z) y)) (/ (* z (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))) y)) |
(* 1/3 (/ (* (pow t 3) z) y)) |
(* (pow t 3) (+ (* 1/3 (/ z y)) (/ (* z (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))) (* (pow t 3) y)))) |
(* (pow t 3) (+ (* 1/3 (/ z y)) (/ (* z (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))) (* (pow t 3) y)))) |
(* (pow t 3) (+ (* 1/3 (/ z y)) (/ (* z (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))) (* (pow t 3) y)))) |
(* 1/3 (/ (* (pow t 3) z) y)) |
(* -1 (* (pow t 3) (+ (* -1 (/ (* z (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))) (* (pow t 3) y))) (* -1/3 (/ z y))))) |
(* -1 (* (pow t 3) (+ (* -1 (/ (* z (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))) (* (pow t 3) y))) (* -1/3 (/ z y))))) |
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(+ 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)))))))))) |
(+ 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)))))))))) |
(+ 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)))))))))) |
(+ 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)))))))))) |
(+ 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)))))))))) |
(+ 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)))))))))) |
(+ 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)))))))))) |
(- (/ 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 (* (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 (* (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 (* (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))))))) |
(/ (- t x) y) |
(/ (- (+ t (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y))) (+ x (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)))) y) |
(/ (- (+ t (+ (* 1/2 (/ (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3)))) (pow y 2))) (+ (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y)) (* 1/2 (/ (pow x 3) (pow y 2)))))) (+ x (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3)))) (pow y 2))) (+ (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)) (* 1/2 (/ (pow t 3) (pow y 2))))))) y) |
(/ (- (+ t (+ (* -1/2 (/ (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (pow y 3))) (+ (* 1/4 (/ (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/6 (pow t 3)))))) (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (* 1/12 (pow t 4))))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3)))) (pow y 2))) (+ (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y)) (* 1/2 (/ (pow x 3) (pow y 2))))))))) (+ x (+ (* -1/2 (/ (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (* -1/2 (pow t 3)))) (pow y 3))) (+ (* 1/4 (/ (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3)))) (pow y 2))) (+ (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)) (* 1/2 (/ (pow t 3) (pow y 2)))))))))) y) |
(* -1 (/ (- (* -1 t) (* -1 x)) y)) |
(* -1 (/ (- (+ (* -1 t) (* -1 (/ (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) (* -1 x)) y)) |
(* -1 (/ (- (+ (* -1 t) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (pow x 3)) (* 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)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))) y)) (* 1/2 (+ (* -1 (pow t 2)) (pow t 2)))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) (* -1 x)) y)) |
(* -1 (/ (- (+ (* -1 t) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* 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))))))) (* 1/2 (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (+ (* 1/12 (pow t 4)) (* t (+ (* -1/6 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))))))))) (+ (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2)))) (+ (* 1/2 (* t (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))) (* 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)))))))))))))) y)) (+ (* -1/2 (pow x 3)) (* 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)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))) y)) (* 1/2 (+ (* -1 (pow t 2)) (pow t 2)))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) (* -1 x)) y)) |
(- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))) |
(- (+ (* -1 (/ x y)) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))) |
(- (+ (* x (- (* 1/3 (/ (pow x 2) (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 (- (* (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))))))) |
(- (+ (/ 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 (* (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 t 3) y)) |
(+ (* -1/3 (/ (pow x 3) y)) (* 1/3 (/ (pow t 3) y))) |
(+ (* -1/3 (/ (pow x 3) y)) (* 1/3 (/ (pow t 3) y))) |
(+ (* -1/3 (/ (pow x 3) y)) (* 1/3 (/ (pow t 3) y))) |
(* -1/3 (/ (pow x 3) y)) |
(* (pow x 3) (- (* 1/3 (/ (pow t 3) (* (pow x 3) y))) (* 1/3 (/ 1 y)))) |
(* (pow x 3) (- (* 1/3 (/ (pow t 3) (* (pow x 3) y))) (* 1/3 (/ 1 y)))) |
(* (pow x 3) (- (* 1/3 (/ (pow t 3) (* (pow x 3) y))) (* 1/3 (/ 1 y)))) |
(* -1/3 (/ (pow x 3) y)) |
(* -1 (* (pow x 3) (+ (* -1/3 (/ (pow t 3) (* (pow x 3) y))) (* 1/3 (/ 1 y))))) |
(* -1 (* (pow x 3) (+ (* -1/3 (/ (pow t 3) (* (pow x 3) y))) (* 1/3 (/ 1 y))))) |
(* -1 (* (pow x 3) (+ (* -1/3 (/ (pow t 3) (* (pow x 3) y))) (* 1/3 (/ 1 y))))) |
(/ (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3))) y) |
(+ (* -1/2 (/ (pow x 3) y)) (+ (* 1/6 (/ (pow x 3) y)) (* 1/3 (/ (pow t 3) y)))) |
(+ (* -1/2 (/ (pow x 3) y)) (+ (* 1/6 (/ (pow x 3) y)) (* 1/3 (/ (pow t 3) y)))) |
(+ (* -1/2 (/ (pow x 3) y)) (+ (* 1/6 (/ (pow x 3) y)) (* 1/3 (/ (pow t 3) y)))) |
(* 1/3 (/ (pow t 3) y)) |
(* (pow t 3) (+ (* -1/2 (/ (pow x 3) (* (pow t 3) y))) (+ (* 1/6 (/ (pow x 3) (* (pow t 3) y))) (* 1/3 (/ 1 y))))) |
(* (pow t 3) (+ (* -1/2 (/ (pow x 3) (* (pow t 3) y))) (+ (* 1/6 (/ (pow x 3) (* (pow t 3) y))) (* 1/3 (/ 1 y))))) |
(* (pow t 3) (+ (* -1/2 (/ (pow x 3) (* (pow t 3) y))) (+ (* 1/6 (/ (pow x 3) (* (pow t 3) y))) (* 1/3 (/ 1 y))))) |
(* 1/3 (/ (pow t 3) y)) |
(* -1 (* (pow t 3) (- (* -1 (/ (+ (* -1/2 (/ (pow x 3) y)) (* 1/6 (/ (pow x 3) y))) (pow t 3))) (* 1/3 (/ 1 y))))) |
(* -1 (* (pow t 3) (- (* -1 (/ (+ (* -1/2 (/ (pow x 3) y)) (* 1/6 (/ (pow x 3) y))) (pow t 3))) (* 1/3 (/ 1 y))))) |
(* -1 (* (pow t 3) (- (* -1 (/ (+ (* -1/2 (/ (pow x 3) y)) (* 1/6 (/ (pow x 3) y))) (pow t 3))) (* 1/3 (/ 1 y))))) |
(/ (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* 1/3 (pow t 3)))) y) |
(/ (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* 1/3 (pow t 3)))) y) |
(/ (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* 1/3 (pow t 3)))) y) |
(/ (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* 1/3 (pow t 3)))) y) |
(/ (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* 1/3 (pow t 3)))) y) |
(/ (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* 1/3 (pow t 3)))) y) |
(/ (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* 1/3 (pow t 3)))) y) |
(/ (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* 1/3 (pow t 3)))) y) |
(/ (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* 1/3 (pow t 3)))) y) |
(/ (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* 1/3 (pow t 3)))) y) |
(/ (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* 1/3 (pow t 3)))) y) |
(/ (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* 1/3 (pow t 3)))) y) |
| 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 y z) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 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 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))))) (fma.f64 z t 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 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))))) (fma.f64 t (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 z (*.f64 t t)) (*.f64 y y)) z) 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 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))))) (fma.f64 t (fma.f64 (*.f64 t t) (fma.f64 #s(literal -1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 z (*.f64 t t))) (pow.f64 y #s(literal 4 binary64)))) z) 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)))))))))) |
(fma.f64 y (*.f64 z (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y)))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y)))))))) x) |
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(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y)))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 t y) (/.f64 t 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 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y)))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 t y) (/.f64 t 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 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y)))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 t y) (/.f64 t 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 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y)))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))))))) |
(* 1/3 (/ (pow t 3) y)) |
(/.f64 (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64)) y) |
(+ (* -1/3 (/ (pow x 3) y)) (* 1/3 (/ (pow t 3) y))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 x (*.f64 x x)) y) (/.f64 (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64)) y)) |
(+ (* -1/3 (/ (pow x 3) y)) (* 1/3 (/ (pow t 3) y))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 x (*.f64 x x)) y) (/.f64 (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64)) y)) |
(+ (* -1/3 (/ (pow x 3) y)) (* 1/3 (/ (pow t 3) y))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 x (*.f64 x x)) y) (/.f64 (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64)) y)) |
(* -1/3 (/ (pow x 3) y)) |
(/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) y) |
(* (pow x 3) (- (* 1/3 (/ (pow t 3) (* (pow x 3) y))) (* 1/3 (/ 1 y)))) |
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/3 binary64) y))) |
(* (pow x 3) (- (* 1/3 (/ (pow t 3) (* (pow x 3) y))) (* 1/3 (/ 1 y)))) |
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/3 binary64) y))) |
(* (pow x 3) (- (* 1/3 (/ (pow t 3) (* (pow x 3) y))) (* 1/3 (/ 1 y)))) |
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/3 binary64) y))) |
(* -1/3 (/ (pow x 3) y)) |
(/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) y) |
(* -1 (* (pow x 3) (+ (* -1/3 (/ (pow t 3) (* (pow x 3) y))) (* 1/3 (/ 1 y))))) |
(*.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/3 binary64) y)) (*.f64 x (*.f64 x (neg.f64 x)))) |
(* -1 (* (pow x 3) (+ (* -1/3 (/ (pow t 3) (* (pow x 3) y))) (* 1/3 (/ 1 y))))) |
(*.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/3 binary64) y)) (*.f64 x (*.f64 x (neg.f64 x)))) |
(* -1 (* (pow x 3) (+ (* -1/3 (/ (pow t 3) (* (pow x 3) y))) (* 1/3 (/ 1 y))))) |
(*.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/3 binary64) y)) (*.f64 x (*.f64 x (neg.f64 x)))) |
(/ (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3))) y) |
(/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) y) |
(+ (* -1/2 (/ (pow x 3) y)) (+ (* 1/6 (/ (pow x 3) y)) (* 1/3 (/ (pow t 3) y)))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 x (*.f64 x x)) y) (/.f64 (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64)) y)) |
(+ (* -1/2 (/ (pow x 3) y)) (+ (* 1/6 (/ (pow x 3) y)) (* 1/3 (/ (pow t 3) y)))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 x (*.f64 x x)) y) (/.f64 (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64)) y)) |
(+ (* -1/2 (/ (pow x 3) y)) (+ (* 1/6 (/ (pow x 3) y)) (* 1/3 (/ (pow t 3) y)))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 x (*.f64 x x)) y) (/.f64 (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64)) y)) |
(* 1/3 (/ (pow t 3) y)) |
(/.f64 (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64)) y) |
(* (pow t 3) (+ (* -1/2 (/ (pow x 3) (* (pow t 3) y))) (+ (* 1/6 (/ (pow x 3) (* (pow t 3) y))) (* 1/3 (/ 1 y))))) |
(*.f64 (*.f64 t (*.f64 t t)) (fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 t (*.f64 t t)))) #s(literal -1/3 binary64) (/.f64 #s(literal 1/3 binary64) y))) |
(* (pow t 3) (+ (* -1/2 (/ (pow x 3) (* (pow t 3) y))) (+ (* 1/6 (/ (pow x 3) (* (pow t 3) y))) (* 1/3 (/ 1 y))))) |
(*.f64 (*.f64 t (*.f64 t t)) (fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 t (*.f64 t t)))) #s(literal -1/3 binary64) (/.f64 #s(literal 1/3 binary64) y))) |
(* (pow t 3) (+ (* -1/2 (/ (pow x 3) (* (pow t 3) y))) (+ (* 1/6 (/ (pow x 3) (* (pow t 3) y))) (* 1/3 (/ 1 y))))) |
(*.f64 (*.f64 t (*.f64 t t)) (fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 t (*.f64 t t)))) #s(literal -1/3 binary64) (/.f64 #s(literal 1/3 binary64) y))) |
(* 1/3 (/ (pow t 3) y)) |
(/.f64 (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64)) y) |
(* -1 (* (pow t 3) (- (* -1 (/ (+ (* -1/2 (/ (pow x 3) y)) (* 1/6 (/ (pow x 3) y))) (pow t 3))) (* 1/3 (/ 1 y))))) |
(neg.f64 (*.f64 (*.f64 t (*.f64 t t)) (+.f64 (neg.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) y) (*.f64 t (*.f64 t t)))) (/.f64 #s(literal -1/3 binary64) y)))) |
(* -1 (* (pow t 3) (- (* -1 (/ (+ (* -1/2 (/ (pow x 3) y)) (* 1/6 (/ (pow x 3) y))) (pow t 3))) (* 1/3 (/ 1 y))))) |
(neg.f64 (*.f64 (*.f64 t (*.f64 t t)) (+.f64 (neg.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) y) (*.f64 t (*.f64 t t)))) (/.f64 #s(literal -1/3 binary64) y)))) |
(* -1 (* (pow t 3) (- (* -1 (/ (+ (* -1/2 (/ (pow x 3) y)) (* 1/6 (/ (pow x 3) y))) (pow t 3))) (* 1/3 (/ 1 y))))) |
(neg.f64 (*.f64 (*.f64 t (*.f64 t t)) (+.f64 (neg.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) y) (*.f64 t (*.f64 t t)))) (/.f64 #s(literal -1/3 binary64) y)))) |
(/ (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* 1/3 (pow t 3)))) y) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y) |
(/ (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* 1/3 (pow t 3)))) y) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y) |
(/ (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* 1/3 (pow t 3)))) y) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y) |
(/ (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* 1/3 (pow t 3)))) y) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y) |
(/ (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* 1/3 (pow t 3)))) y) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y) |
(/ (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* 1/3 (pow t 3)))) y) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y) |
(/ (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* 1/3 (pow t 3)))) y) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y) |
(/ (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* 1/3 (pow t 3)))) y) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y) |
(/ (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* 1/3 (pow t 3)))) y) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y) |
(/ (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* 1/3 (pow t 3)))) y) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y) |
(/ (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* 1/3 (pow t 3)))) y) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y) |
(/ (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* 1/3 (pow t 3)))) y) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y) |
| 4 464× | lower-/.f32 |
| 4 448× | lower-/.f64 |
| 4 160× | lower-*.f32 |
| 4 140× | lower-*.f64 |
| 3 200× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 467 |
| 0 | 92 | 461 |
| 1 | 385 | 421 |
| 2 | 3616 | 421 |
| 0 | 9180 | 396 |
| 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 z (-.f64 t x) x)) |
(fma.f64 z (-.f64 t x) x) |
(-.f64 t x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) |
(*.f64 y z) |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) |
(/.f64 (fma.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) (/.f64 z y) #s(literal 0 binary64)) y) |
(-.f64 (fma.f64 z (-.f64 t x) x) (/.f64 (fma.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) (/.f64 z y) #s(literal 0 binary64)) y)) |
(fma.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) (/.f64 z y) #s(literal 0 binary64)) |
(/.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) y) y) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 (/.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) y) y) (-.f64 x t)) (neg.f64 y))))) |
(/.f64 (+.f64 (/.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) y) y) (-.f64 x t)) (neg.f64 y)) |
(tanh.f64 (/.f64 x y)) |
(/.f64 (-.f64 t x) y) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (-.f64 (fma.f64 z (-.f64 t x) x) (/.f64 (fma.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) (/.f64 z y) #s(literal 0 binary64)) y))) |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 (/.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) y) y) (-.f64 x t)) (neg.f64 y))) |
(/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) y) |
| Outputs |
|---|
(+.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z))) |
(+.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) x) |
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) (neg.f64 x)))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)))) (/.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z))))) |
(fma.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x) |
(fma.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) z x) |
(fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x) |
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x) |
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x) |
(fma.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y x) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z))) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64))) (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) (neg.f64 x)) (*.f64 x x)) (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64))))) |
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(pow.f64 (/.f64 (fma.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64))) (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
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(-.f64 (/.f64 (exp.f64 (/.f64 t y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))) (/.f64 (exp.f64 (/.f64 t (neg.f64 y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))))) |
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(/.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) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y))))) |
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(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64)))) (expm1.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
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(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))))) |
(*.f64 (expm1.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64)))))) |
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(tanh.f64 (/.f64 t y)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)) |
(+.f64 x (*.f64 z (-.f64 t x))) |
(+.f64 (*.f64 z (-.f64 t x)) x) |
(-.f64 (/.f64 (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))) (fma.f64 z (-.f64 t x) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 z (-.f64 t x) (neg.f64 x)))) |
(fma.f64 z (-.f64 t x) x) |
(fma.f64 (-.f64 t x) z x) |
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (-.f64 t x) (neg.f64 x)) (*.f64 (fma.f64 z (-.f64 t x) x) (fma.f64 z (-.f64 t x) (neg.f64 x))))) |
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(/.f64 (fma.f64 (*.f64 z (-.f64 t x)) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))) (*.f64 x (*.f64 x x))) (fma.f64 x x (-.f64 (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))) (*.f64 z (*.f64 (-.f64 t x) x))))) |
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 z (-.f64 t x) (neg.f64 x)) (*.f64 (fma.f64 z (-.f64 t x) x) (fma.f64 z (-.f64 t x) (neg.f64 x)))))) |
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(/.f64 (expm1.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) y))) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) y)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y))) (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 x y)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64)) (expm1.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64)))))) |
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(/.f64 (neg.f64 (expm1.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64)))) (neg.f64 (+.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) y)))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) y))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 x y))))) (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))))) |
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))))) |
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(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y))) (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 x y)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64)) (expm1.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) y))) (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) y)))) #s(literal -1 binary64)) |
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y))))) |
(*.f64 (expm1.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) y))))) |
(tanh.f64 (/.f64 x y)) |
(+.f64 (/.f64 t y) (/.f64 x (neg.f64 y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 t x))) #s(literal -1 binary64))) |
(-.f64 (/.f64 t y) (/.f64 x y)) |
(fma.f64 t (/.f64 #s(literal 1 binary64) y) (/.f64 x (neg.f64 y))) |
(fma.f64 #s(literal 1 binary64) (/.f64 t y) (/.f64 x (neg.f64 y))) |
(fma.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) y) (/.f64 x (neg.f64 y))) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) t (/.f64 x (neg.f64 y))) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) t) #s(literal -1 binary64)) (/.f64 x (neg.f64 y))) |
(neg.f64 (/.f64 (-.f64 t x) (neg.f64 y))) |
(/.f64 (-.f64 t x) y) |
(/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (-.f64 t x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 y (-.f64 t x))))) |
(/.f64 (neg.f64 (-.f64 t x)) (neg.f64 y)) |
(/.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (*.f64 y (fma.f64 t t (*.f64 x (+.f64 t x))))) |
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(/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x))) |
(/.f64 (-.f64 (neg.f64 t) (neg.f64 x)) (neg.f64 y)) |
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(/.f64 (-.f64 (*.f64 t (/.f64 y x)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x))) |
(/.f64 (-.f64 (*.f64 t (neg.f64 y)) (*.f64 y (neg.f64 x))) (*.f64 y (neg.f64 y))) |
(/.f64 (-.f64 y (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y)) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 y x)) (*.f64 (/.f64 y t) #s(literal 1 binary64))) (*.f64 (/.f64 y t) (/.f64 y x))) |
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(/.f64 (-.f64 (*.f64 (neg.f64 t) (/.f64 y x)) (*.f64 (neg.f64 y) #s(literal 1 binary64))) (*.f64 (neg.f64 y) (/.f64 y x))) |
(/.f64 (-.f64 (*.f64 (neg.f64 t) (neg.f64 y)) (*.f64 (neg.f64 y) (neg.f64 x))) (*.f64 y y)) |
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(/.f64 (*.f64 (*.f64 (+.f64 t x) (-.f64 t x)) #s(literal 1 binary64)) (*.f64 (+.f64 t x) y)) |
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(/.f64 (neg.f64 (*.f64 (+.f64 t x) (-.f64 t x))) (neg.f64 (*.f64 y (+.f64 t x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 t x))) y) |
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(/.f64 (*.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (/.f64 #s(literal 1 binary64) y)) (+.f64 t x)) |
(/.f64 (/.f64 (neg.f64 (-.f64 t x)) #s(literal -1 binary64)) y) |
(/.f64 (-.f64 (neg.f64 (neg.f64 t)) x) y) |
(/.f64 (-.f64 (*.f64 t #s(literal 1 binary64)) x) y) |
(/.f64 (-.f64 (/.f64 (neg.f64 t) #s(literal -1 binary64)) x) y) |
(/.f64 (-.f64 t (neg.f64 (neg.f64 x))) y) |
(/.f64 (-.f64 (neg.f64 (neg.f64 t)) (neg.f64 (neg.f64 x))) y) |
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(/.f64 (-.f64 t (*.f64 x #s(literal 1 binary64))) y) |
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(/.f64 (-.f64 t (/.f64 (neg.f64 x) #s(literal -1 binary64))) y) |
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(/.f64 (neg.f64 (-.f64 (neg.f64 t) (neg.f64 x))) y) |
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(/.f64 (neg.f64 (-.f64 (*.f64 t (neg.f64 y)) (*.f64 y (neg.f64 x)))) (neg.f64 (*.f64 y (neg.f64 y)))) |
(/.f64 (neg.f64 (-.f64 y (*.f64 (/.f64 y t) x))) (neg.f64 (*.f64 (/.f64 y t) y))) |
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(/.f64 (neg.f64 (-.f64 (*.f64 (neg.f64 t) y) (*.f64 (neg.f64 y) x))) (neg.f64 (*.f64 (neg.f64 y) y))) |
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(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 t x) (-.f64 t x)) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 t x) y))) |
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(/.f64 (neg.f64 (/.f64 (neg.f64 (-.f64 t x)) #s(literal -1 binary64))) (neg.f64 y)) |
(pow.f64 (/.f64 y (-.f64 t x)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 y (-.f64 t x)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
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(*.f64 (pow.f64 (/.f64 y (*.f64 (+.f64 t x) (-.f64 t x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 t x))) |
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#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 (/.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))) (*.f64 y y)) (-.f64 x t)) (neg.f64 y))) |
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(/.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))) y) |
(/.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/2 binary64))))))) #s(literal 1 binary64))) |
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(/.f64 (neg.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/2 binary64))))))) (neg.f64 y)) |
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(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)) (*.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))) (*.f64 y (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))) |
(/.f64 (*.f64 (fma.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (*.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (-.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64))) y)) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)) (*.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) y)) |
(/.f64 (*.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))) #s(literal 1 binary64)) y) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))))) y) |
(/.f64 (neg.f64 (fma.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (*.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))) (neg.f64 (*.f64 y (fma.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (-.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)) (*.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))) (neg.f64 (*.f64 y (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))) |
(/.f64 (*.f64 (fma.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (*.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) y)) (fma.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (-.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)) (*.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))) (/.f64 #s(literal 1 binary64) y)) (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))) |
(/.f64 (/.f64 (neg.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/2 binary64))))))) #s(literal -1 binary64)) y) |
(/.f64 (neg.f64 (*.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))) #s(literal 1 binary64))) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (*.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (-.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64))) y))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)) (*.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) y))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/2 binary64))))))))) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (*.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) y))) (neg.f64 (fma.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (-.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)) (*.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))) (/.f64 #s(literal 1 binary64) y))) (neg.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))) |
(/.f64 (neg.f64 (/.f64 (neg.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/2 binary64))))))) #s(literal -1 binary64))) (neg.f64 y)) |
(pow.f64 (/.f64 y (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/2 binary64))))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 y (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/2 binary64))))))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))) y)) |
(*.f64 (neg.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/2 binary64))))))) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/2 binary64))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/2 binary64))))))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 y (fma.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (*.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (-.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64))))) |
(*.f64 (pow.f64 (/.f64 y (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)) (*.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))) |
Compiled 85 142 to 4 256 computations (95% saved)
25 alts after pruning (23 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 769 | 22 | 1 791 |
| Fresh | 1 | 1 | 2 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 773 | 25 | 1 798 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.2% | (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) |
| ▶ | 74.9% | (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) |
| 45.0% | (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (*.f64 x (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) y))))) y) z x) | |
| 65.7% | (fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) | |
| 63.8% | (+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))) | |
| 28.7% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y))))) | |
| 32.5% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 y (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y))))) | |
| 29.2% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 #s(approx (/ (/ (+ (* x (* (* x x) -1/2)) (+ (* t (* (* t t) 1/3)) (* x (* (* x x) 1/6)))) y) y) (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y))) (-.f64 x t)) (neg.f64 y))))) | |
| 31.0% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x)))))) | |
| 49.7% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))) | |
| 51.7% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x)))))) | |
| 51.6% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))))) | |
| 54.2% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))))) | |
| 44.7% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 t (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y t)))))))) | |
| ▶ | 43.8% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 t x) (*.f64 (+.f64 t x) (-.f64 t x)))) x)) |
| ✓ | 60.7% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)) |
| 43.8% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 t x))) x)) | |
| 57.3% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (neg.f64 x)) x)) | |
| ▶ | 29.6% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) (-.f64 x (*.f64 z (-.f64 t x))))) |
| 31.2% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (-.f64 (fma.f64 z (-.f64 t x) x) #s(approx (/ (+ (* (+ (* x (* (* x x) -1/2)) (+ (* t (* (* t t) 1/3)) (* x (* (* x x) 1/6)))) (/ z y)) 0) y) (/.f64 (*.f64 z (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))) (*.f64 y y))))) | |
| 2.1% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (- (+ (* z (- t x)) x) (/ (+ (* (+ (* x (* (* x x) -1/2)) (+ (* t (* (* t t) 1/3)) (* x (* (* x x) 1/6)))) (/ z y)) 0) y)) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 z (*.f64 x (*.f64 x x)))) (*.f64 y y)))) | |
| 13.8% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (- (+ (* z (- t x)) x) (/ (+ (* (+ (* x (* (* x x) -1/2)) (+ (* t (* (* t t) 1/3)) (* x (* (* x x) 1/6)))) (/ z y)) 0) y)) (*.f64 (-.f64 (/.f64 z (*.f64 x x)) (fma.f64 (/.f64 z (*.f64 y y)) #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 x (*.f64 x (neg.f64 x)))))) | |
| ▶ | 51.5% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 (neg.f64 t) (-.f64 (neg.f64 z) (/.f64 (fma.f64 x (neg.f64 z) x) t))))) |
| 26.6% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))) | |
| ▶ | 16.9% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) |
Compiled 973 to 531 computations (45.4% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) (-.f64 x (*.f64 z (-.f64 t x))))) | |
| cost-diff | 128 | (-.f64 x (*.f64 z (-.f64 t x))) | |
| cost-diff | 384 | (-.f64 (*.f64 x x) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) | |
| cost-diff | 2176 | (/.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) (-.f64 x (*.f64 z (-.f64 t x)))) | |
| cost-diff | 0 | (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 t x) (*.f64 (+.f64 t x) (-.f64 t x)))) x) | |
| cost-diff | 0 | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 t x) (*.f64 (+.f64 t x) (-.f64 t x)))) x)) | |
| cost-diff | 704 | (/.f64 (+.f64 t x) (*.f64 (+.f64 t x) (-.f64 t x))) | |
| cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 t x) (*.f64 (+.f64 t x) (-.f64 t x)))) | |
| cost-diff | 0 | #s(approx (+ (* z (- t x)) x) (*.f64 (neg.f64 t) (-.f64 (neg.f64 z) (/.f64 (fma.f64 x (neg.f64 z) x) t)))) | |
| cost-diff | 0 | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 (neg.f64 t) (-.f64 (neg.f64 z) (/.f64 (fma.f64 x (neg.f64 z) x) t))))) | |
| cost-diff | 128 | (-.f64 (neg.f64 z) (/.f64 (fma.f64 x (neg.f64 z) x) t)) | |
| cost-diff | 1280 | (*.f64 (neg.f64 t) (-.f64 (neg.f64 z) (/.f64 (fma.f64 x (neg.f64 z) x) t))) | |
| cost-diff | 0 | (*.f64 z t) | |
| cost-diff | 0 | #s(approx (+ (* z (- t x)) x) (*.f64 z t)) | |
| cost-diff | 0 | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) | |
| cost-diff | 0 | (tanh.f64 (/.f64 t y)) | |
| cost-diff | 0 | (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) | |
| cost-diff | 0 | (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) | |
| cost-diff | 0 | (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) |
| 6 480× | lower-fma.f32 |
| 6 474× | lower-fma.f64 |
| 3 536× | lower-*.f32 |
| 3 520× | lower-*.f64 |
| 2 728× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 418 |
| 0 | 78 | 400 |
| 1 | 171 | 354 |
| 2 | 427 | 332 |
| 3 | 1616 | 331 |
| 4 | 4402 | 321 |
| 0 | 8259 | 315 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) |
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) |
(-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) |
(tanh.f64 (/.f64 t y)) |
(/.f64 t y) |
t |
y |
#s(approx (tanh (/ x y)) (/.f64 x y)) |
(/.f64 x y) |
x |
z |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) |
#s(approx (+ (* z (- t x)) x) (*.f64 z t)) |
(*.f64 z t) |
z |
t |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 (neg.f64 t) (-.f64 (neg.f64 z) (/.f64 (fma.f64 x (neg.f64 z) x) t))))) |
#s(approx (+ (* z (- t x)) x) (*.f64 (neg.f64 t) (-.f64 (neg.f64 z) (/.f64 (fma.f64 x (neg.f64 z) x) t)))) |
(*.f64 (neg.f64 t) (-.f64 (neg.f64 z) (/.f64 (fma.f64 x (neg.f64 z) x) t))) |
(neg.f64 t) |
t |
(-.f64 (neg.f64 z) (/.f64 (fma.f64 x (neg.f64 z) x) t)) |
(neg.f64 z) |
z |
(/.f64 (fma.f64 x (neg.f64 z) x) t) |
(fma.f64 x (neg.f64 z) x) |
x |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 t x) (*.f64 (+.f64 t x) (-.f64 t x)))) x)) |
(fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 t x) (*.f64 (+.f64 t x) (-.f64 t x)))) x) |
z |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 t x) (*.f64 (+.f64 t x) (-.f64 t x)))) |
#s(literal 1 binary64) |
(/.f64 (+.f64 t x) (*.f64 (+.f64 t x) (-.f64 t x))) |
(+.f64 t x) |
t |
x |
(*.f64 (+.f64 t x) (-.f64 t x)) |
(-.f64 t x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) (-.f64 x (*.f64 z (-.f64 t x))))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) (-.f64 x (*.f64 z (-.f64 t x)))) |
(-.f64 (*.f64 x x) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) |
(*.f64 x x) |
x |
(*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))) |
z |
(*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))) |
(-.f64 t x) |
t |
(*.f64 z (-.f64 t x)) |
(-.f64 x (*.f64 z (-.f64 t x))) |
| Outputs |
|---|
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) |
(fma.f64 y (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) z) x) |
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) |
(*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) |
(-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) |
(tanh.f64 (/.f64 t y)) |
(/.f64 t y) |
t |
y |
#s(approx (tanh (/ x y)) (/.f64 x y)) |
(/.f64 x y) |
x |
z |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 t z))) |
#s(approx (+ (* z (- t x)) x) (*.f64 z t)) |
#s(approx (+ (* z (- t x)) x) (*.f64 t z)) |
(*.f64 z t) |
(*.f64 t z) |
z |
t |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 (neg.f64 t) (-.f64 (neg.f64 z) (/.f64 (fma.f64 x (neg.f64 z) x) t))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (fma.f64 z (-.f64 t x) x))) |
#s(approx (+ (* z (- t x)) x) (*.f64 (neg.f64 t) (-.f64 (neg.f64 z) (/.f64 (fma.f64 x (neg.f64 z) x) t)))) |
#s(approx (+ (* z (- t x)) x) (fma.f64 z (-.f64 t x) x)) |
(*.f64 (neg.f64 t) (-.f64 (neg.f64 z) (/.f64 (fma.f64 x (neg.f64 z) x) t))) |
(fma.f64 z (-.f64 t x) x) |
(neg.f64 t) |
t |
(-.f64 (neg.f64 z) (/.f64 (fma.f64 x (neg.f64 z) x) t)) |
(-.f64 (/.f64 (fma.f64 x z (neg.f64 x)) t) z) |
(neg.f64 z) |
z |
(/.f64 (fma.f64 x (neg.f64 z) x) t) |
(fma.f64 x (neg.f64 z) x) |
x |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 t x) (*.f64 (+.f64 t x) (-.f64 t x)))) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)) |
(fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 t x) (*.f64 (+.f64 t x) (-.f64 t x)))) x) |
(fma.f64 z (-.f64 t x) x) |
z |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 t x) (*.f64 (+.f64 t x) (-.f64 t x)))) |
(-.f64 t x) |
#s(literal 1 binary64) |
(/.f64 (+.f64 t x) (*.f64 (+.f64 t x) (-.f64 t x))) |
(/.f64 #s(literal 1 binary64) (-.f64 t x)) |
(+.f64 t x) |
t |
x |
(*.f64 (+.f64 t x) (-.f64 t x)) |
(-.f64 t x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) (-.f64 x (*.f64 z (-.f64 t x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) (-.f64 x (*.f64 z (-.f64 t x)))) |
(fma.f64 z (-.f64 t x) x) |
(-.f64 (*.f64 x x) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) |
(*.f64 (fma.f64 z (-.f64 t x) x) (fma.f64 z (-.f64 x t) x)) |
(*.f64 x x) |
x |
(*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))) |
(*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x)))) |
z |
(*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))) |
(-.f64 t x) |
t |
(*.f64 z (-.f64 t x)) |
(-.f64 x (*.f64 z (-.f64 t x))) |
(fma.f64 z (-.f64 x t) x) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 2.894835984731306 | (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))) | |
| accuracy | 9.144467260736384 | (-.f64 (*.f64 x x) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) | |
| accuracy | 25.141671633854255 | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) (-.f64 x (*.f64 z (-.f64 t x))))) | |
| accuracy | 35.289779524464095 | (/.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) (-.f64 x (*.f64 z (-.f64 t x)))) | |
| accuracy | 0.00390625 | (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 t x) (*.f64 (+.f64 t x) (-.f64 t x)))) x) | |
| accuracy | 0.19140625 | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 t x) (*.f64 (+.f64 t x) (-.f64 t x)))) | |
| accuracy | 25.141671633854255 | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 t x) (*.f64 (+.f64 t x) (-.f64 t x)))) x)) | |
| accuracy | 27.53944464435053 | (/.f64 (+.f64 t x) (*.f64 (+.f64 t x) (-.f64 t x))) | |
| accuracy | 0.0078125 | (-.f64 (neg.f64 z) (/.f64 (fma.f64 x (neg.f64 z) x) t)) | |
| accuracy | 1.4932859875920796 | (/.f64 (fma.f64 x (neg.f64 z) x) t) | |
| accuracy | 8.024759854694542 | (*.f64 (neg.f64 t) (-.f64 (neg.f64 z) (/.f64 (fma.f64 x (neg.f64 z) x) t))) | |
| accuracy | 25.141671633854255 | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 (neg.f64 t) (-.f64 (neg.f64 z) (/.f64 (fma.f64 x (neg.f64 z) x) t))))) | |
| accuracy | 0 | (*.f64 z t) | |
| accuracy | 25.141671633854255 | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) | |
| accuracy | 35.6392382245272 | #s(approx (+ (* z (- t x)) x) (*.f64 z t)) | |
| accuracy | 0.01171875 | (tanh.f64 (/.f64 t y)) | |
| accuracy | 0.049181980663730605 | (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) | |
| accuracy | 0.6057681023810185 | (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) | |
| accuracy | 29.34567996216107 | #s(approx (tanh (/ x y)) (/.f64 x y)) |
| 75.0ms | 34× | 2 | valid |
| 61.0ms | 221× | 0 | valid |
| 1.0ms | 1× | 1 | valid |
Compiled 317 to 41 computations (87.1% saved)
ival-sub: 44.0ms (44.2% of total)ival-mult: 24.0ms (24.1% of total)ival-div: 13.0ms (13.1% of total)ival-add: 8.0ms (8% of total)adjust: 5.0ms (5% of total)ival-tanh: 3.0ms (3% of total)ival-neg: 2.0ms (2% 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)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) (patch (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) (patch (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) #<representation binary64>) () ()) |
#s(alt (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (patch (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.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))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) (patch #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* z (- t x)) x) (*.f64 z t)) (patch #s(approx (+ (* z (- t x)) x) (*.f64 z t)) #<representation binary64>) () ()) |
#s(alt (*.f64 z t) (patch (*.f64 z t) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 t) (-.f64 (neg.f64 z) (/.f64 (fma.f64 x (neg.f64 z) x) t))) (patch (*.f64 (neg.f64 t) (-.f64 (neg.f64 z) (/.f64 (fma.f64 x (neg.f64 z) x) t))) #<representation binary64>) () ()) |
#s(alt (-.f64 (neg.f64 z) (/.f64 (fma.f64 x (neg.f64 z) x) t)) (patch (-.f64 (neg.f64 z) (/.f64 (fma.f64 x (neg.f64 z) x) t)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 (neg.f64 t) (-.f64 (neg.f64 z) (/.f64 (fma.f64 x (neg.f64 z) x) t))))) (patch #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 (neg.f64 t) (-.f64 (neg.f64 z) (/.f64 (fma.f64 x (neg.f64 z) x) t))))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* z (- t x)) x) (*.f64 (neg.f64 t) (-.f64 (neg.f64 z) (/.f64 (fma.f64 x (neg.f64 z) x) t)))) (patch #s(approx (+ (* z (- t x)) x) (*.f64 (neg.f64 t) (-.f64 (neg.f64 z) (/.f64 (fma.f64 x (neg.f64 z) x) t)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 t x) (*.f64 (+.f64 t x) (-.f64 t x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 t x) (*.f64 (+.f64 t x) (-.f64 t x)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 t x) (*.f64 (+.f64 t x) (-.f64 t x))) (patch (/.f64 (+.f64 t x) (*.f64 (+.f64 t x) (-.f64 t x))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 t x) (*.f64 (+.f64 t x) (-.f64 t x)))) x)) (patch #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 t x) (*.f64 (+.f64 t x) (-.f64 t x)))) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 t x) (*.f64 (+.f64 t x) (-.f64 t x)))) x) (patch (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 t x) (*.f64 (+.f64 t x) (-.f64 t x)))) x) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) (-.f64 x (*.f64 z (-.f64 t x)))) (patch (/.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) (-.f64 x (*.f64 z (-.f64 t x)))) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 x x) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) (patch (-.f64 (*.f64 x x) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) #<representation binary64>) () ()) |
#s(alt (-.f64 x (*.f64 z (-.f64 t x))) (patch (-.f64 x (*.f64 z (-.f64 t x))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) (-.f64 x (*.f64 z (-.f64 t x))))) (patch #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) (-.f64 x (*.f64 z (-.f64 t x))))) #<representation binary64>) () ()) |
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| Outputs |
|---|
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#s(alt (/ (+ x (* -1 (* x z))) t) (taylor -inf t) (#s(alt (/.f64 (fma.f64 x (neg.f64 z) x) t) (patch (/.f64 (fma.f64 x (neg.f64 z) x) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (* -1 (* x z))) t) (taylor -inf t) (#s(alt (/.f64 (fma.f64 x (neg.f64 z) x) t) (patch (/.f64 (fma.f64 x (neg.f64 z) x) t) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (pow (- t x) 2)) (taylor 0 z) (#s(alt (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))) (patch (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (pow (- t x) 2)) (taylor 0 z) (#s(alt (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))) (patch (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (pow (- t x) 2)) (taylor 0 z) (#s(alt (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))) (patch (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (pow (- t x) 2)) (taylor 0 z) (#s(alt (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))) (patch (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (pow (- t x) 2)) (taylor inf z) (#s(alt (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))) (patch (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (pow (- t x) 2)) (taylor inf z) (#s(alt (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))) (patch (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (pow (- t x) 2)) (taylor inf z) (#s(alt (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))) (patch (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (pow (- t x) 2)) (taylor inf z) (#s(alt (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))) (patch (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (pow (- t x) 2)) (taylor -inf z) (#s(alt (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))) (patch (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (pow (- t x) 2)) (taylor -inf z) (#s(alt (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))) (patch (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (pow (- t x) 2)) (taylor -inf z) (#s(alt (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))) (patch (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (pow (- t x) 2)) (taylor -inf z) (#s(alt (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))) (patch (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (pow z 2)) (taylor 0 t) (#s(alt (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))) (patch (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -2 (* t (* x (pow z 2)))) (* (pow x 2) (pow z 2))) (taylor 0 t) (#s(alt (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))) (patch (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (+ (* -2 (* x (pow z 2))) (* t (pow z 2)))) (* (pow x 2) (pow z 2))) (taylor 0 t) (#s(alt (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))) (patch (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (+ (* -2 (* x (pow z 2))) (* t (pow z 2)))) (* (pow x 2) (pow z 2))) (taylor 0 t) (#s(alt (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))) (patch (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow t 2) (pow z 2)) (taylor inf t) (#s(alt (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))) (patch (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow t 2) (+ (* -2 (/ (* x (pow z 2)) t)) (pow z 2))) (taylor inf t) (#s(alt (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))) (patch (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow t 2) (+ (* -2 (/ (* x (pow z 2)) t)) (+ (/ (* (pow x 2) (pow z 2)) (pow t 2)) (pow z 2)))) (taylor inf t) (#s(alt (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))) (patch (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow t 2) (+ (* -2 (/ (* x (pow z 2)) t)) (+ (/ (* (pow x 2) (pow z 2)) (pow t 2)) (pow z 2)))) (taylor inf t) (#s(alt (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))) (patch (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow t 2) (pow z 2)) (taylor -inf t) (#s(alt (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))) (patch (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow t 2) (+ (* -2 (/ (* x (pow z 2)) t)) (pow z 2))) (taylor -inf t) (#s(alt (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))) (patch (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow t 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow z 2)) t)) (* 2 (* x (pow z 2)))) t)) (pow z 2))) (taylor -inf t) (#s(alt (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))) (patch (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow t 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow z 2)) t)) (* 2 (* x (pow z 2)))) t)) (pow z 2))) (taylor -inf t) (#s(alt (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))) (patch (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow t 2) (pow z 2)) (taylor 0 x) (#s(alt (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))) (patch (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -2 (* t (* x (pow z 2)))) (* (pow t 2) (pow z 2))) (taylor 0 x) (#s(alt (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))) (patch (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (+ (* -2 (* t (pow z 2))) (* x (pow z 2)))) (* (pow t 2) (pow z 2))) (taylor 0 x) (#s(alt (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))) (patch (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (+ (* -2 (* t (pow z 2))) (* x (pow z 2)))) (* (pow t 2) (pow z 2))) (taylor 0 x) (#s(alt (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))) (patch (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (pow z 2)) (taylor inf x) (#s(alt (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))) (patch (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -2 (/ (* t (pow z 2)) x)) (pow z 2))) (taylor inf x) (#s(alt (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))) (patch (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -2 (/ (* t (pow z 2)) x)) (+ (/ (* (pow t 2) (pow z 2)) (pow x 2)) (pow z 2)))) (taylor inf x) (#s(alt (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))) (patch (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -2 (/ (* t (pow z 2)) x)) (+ (/ (* (pow t 2) (pow z 2)) (pow x 2)) (pow z 2)))) (taylor inf x) (#s(alt (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))) (patch (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (pow z 2)) (taylor -inf x) (#s(alt (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))) (patch (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -2 (/ (* t (pow z 2)) x)) (pow z 2))) (taylor -inf x) (#s(alt (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))) (patch (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow t 2) (pow z 2)) x)) (* 2 (* t (pow z 2)))) x)) (pow z 2))) (taylor -inf x) (#s(alt (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))) (patch (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow t 2) (pow z 2)) x)) (* 2 (* t (pow z 2)))) x)) (pow z 2))) (taylor -inf x) (#s(alt (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))) (patch (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))) #<representation binary64>) () ())) ()) |
198 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 33.0ms | z | @ | -inf | (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) |
| 1.0ms | x | @ | inf | (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) |
| 1.0ms | t | @ | 0 | (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) |
| 1.0ms | x | @ | -inf | (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) |
| 1.0ms | t | @ | inf | (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) |
| 1× | egg-herbie |
| 8 122× | lower-fma.f64 |
| 8 122× | lower-fma.f32 |
| 6 398× | lower-*.f64 |
| 6 398× | lower-*.f32 |
| 5 078× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1176 | 27599 |
| 1 | 3954 | 24613 |
| 0 | 9561 | 23792 |
| 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)))))))))) |
(+ 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)))))))))) |
(+ 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)))))))))) |
(+ 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)))))))))) |
(+ 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)))))))))) |
(+ 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)))))))))) |
(+ 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)))))))))) |
(+ 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)))))))))) |
(+ 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)))))))))) |
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)))))))))) |
(+ 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)))))))))) |
(+ 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)))))))))) |
(+ x (* z (- t x))) |
(+ x (+ (* z (- t x)) (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y))) |
(+ x (+ (* z (- t x)) (+ (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y) (/ (* z (- (+ (* 1/2 (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3))))) (* 1/2 (pow x 3))) (+ (* 1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3))))) (* 1/2 (pow t 3))))) (pow y 2))))) |
(+ x (+ (* z (- t x)) (+ (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y) (+ (/ (* z (- (+ (* -1/2 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))))) (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (* 1/2 (+ (* -1 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/6 (pow t 3)))))) (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (* 1/12 (pow t 4)))))))) (+ (* -1/2 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (* -1/2 (pow t 3))))) (+ (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2)))) (* 1/2 (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4)))))))))) (pow y 3)) (/ (* z (- (+ (* 1/2 (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3))))) (* 1/2 (pow x 3))) (+ (* 1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3))))) (* 1/2 (pow t 3))))) (pow y 2)))))) |
(+ x (* -1 (* z (- (* -1 t) (* -1 x))))) |
(+ x (+ (* -1 (* z (- (* -1 t) (* -1 x)))) (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y))) |
(+ x (+ (* -1 (* z (- (* -1 t) (* -1 x)))) (* -1 (/ (+ (* -1 (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))))) (/ (* z (- (+ (* -1/2 (pow x 3)) (* 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)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))))) y)) y)))) |
(+ x (+ (* -1 (* z (- (* -1 t) (* -1 x)))) (* -1 (/ (+ (* -1 (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))))) (* -1 (/ (+ (* -1 (* z (- (+ (* -1/2 (pow x 3)) (* 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)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))))) (/ (* z (- (+ (* 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))))))) (* 1/2 (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (+ (* 1/12 (pow t 4)) (* t (+ (* -1/6 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))))))))) (+ (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2)))) (+ (* 1/2 (* t (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))) (* 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))))))))))))))) y)) y))) y)))) |
(* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))) |
(+ (* x (+ 1 (* -1 z))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))) |
(+ (* 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 |
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x |
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(* -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))) |
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x |
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(+ x (+ (* z (- t x)) (+ (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y) (+ (/ (* z (- (+ (* -1/2 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))))) (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (* 1/2 (+ (* -1 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/6 (pow t 3)))))) (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (* 1/12 (pow t 4)))))))) (+ (* -1/2 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (* -1/2 (pow t 3))))) (+ (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2)))) (* 1/2 (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4)))))))))) (pow y 3)) (/ (* z (- (+ (* 1/2 (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3))))) (* 1/2 (pow x 3))) (+ (* 1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3))))) (* 1/2 (pow t 3))))) (pow y 2)))))) |
(+ x (* -1 (* z (- (* -1 t) (* -1 x))))) |
(+ x (+ (* -1 (* z (- (* -1 t) (* -1 x)))) (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y))) |
(+ x (+ (* -1 (* z (- (* -1 t) (* -1 x)))) (* -1 (/ (+ (* -1 (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))))) (/ (* z (- (+ (* -1/2 (pow x 3)) (* 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)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))))) y)) y)))) |
(+ x (+ (* -1 (* z (- (* -1 t) (* -1 x)))) (* -1 (/ (+ (* -1 (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))))) (* -1 (/ (+ (* -1 (* z (- (+ (* -1/2 (pow x 3)) (* 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)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))))) (/ (* z (- (+ (* 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))))))) (* 1/2 (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (+ (* 1/12 (pow t 4)) (* t (+ (* -1/6 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))))))))) (+ (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2)))) (+ (* 1/2 (* t (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))) (* 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))))))))))))))) y)) y))) y)))) |
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)))))))))) |
(+ 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)))))))))) |
(+ 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)))))))))) |
(* 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))))))))) |
(* z (+ (* 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 z))) |
(* z (+ (* 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 z))) |
(* z (+ (* 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 z))) |
(* 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 (* z (+ (* -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))))))))) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -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))))))))) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -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))))))))) (* -1 (/ x 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)))))))))) |
(+ 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)))))))))) |
(+ 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)))))))))) |
(+ 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)))))))))) |
(+ 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)))))))))) |
(+ 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)))))))))) |
(+ 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)))))))))) |
(+ 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)))))))))) |
(+ 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)))))))))) |
(/ 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))) |
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -17/315 (/ (pow x 2) (pow y 7))) (* 2/15 (/ 1 (pow y 5))))) (* 1/3 (/ 1 (pow y 3))))) (/ 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))))) |
(/ (- (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))))) |
(/ (- (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 y) |
(/ (+ x (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) y) |
(/ (- (+ x (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)))) (* 1/2 (/ (pow x 3) (pow y 2)))) y) |
(/ (- (+ x (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))))) (+ (* -1/2 (/ (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (pow y 3))) (+ (* 1/4 (/ (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2))) (pow y 3))) (* 1/2 (/ (pow x 3) (pow y 2)))))) y) |
(/ 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)) |
(/ (* x (+ 1 (* -1 z))) t) |
(/ (* x (+ 1 (* -1 z))) t) |
(/ (* x (+ 1 (* -1 z))) t) |
(/ (* x (+ 1 (* -1 z))) t) |
(/ (* x (+ 1 (* -1 z))) t) |
(/ (* x (+ 1 (* -1 z))) t) |
(/ (* x (+ 1 (* -1 z))) t) |
(/ (* x (+ 1 (* -1 z))) t) |
(* -1 (/ (* x (- z 1)) t)) |
(* -1 (/ (* x (- z 1)) t)) |
(* -1 (/ (* x (- z 1)) t)) |
(* -1 (/ (* x (- z 1)) t)) |
(/ x t) |
(+ (* -1 (/ (* x z) t)) (/ x t)) |
(+ (* -1 (/ (* x z) t)) (/ x t)) |
(+ (* -1 (/ (* x z) t)) (/ x t)) |
(* -1 (/ (* x z) t)) |
(* z (+ (* -1 (/ x t)) (/ x (* t z)))) |
(* z (+ (* -1 (/ x t)) (/ x (* t z)))) |
(* z (+ (* -1 (/ x t)) (/ x (* t z)))) |
(* -1 (/ (* x z) t)) |
(* -1 (* z (+ (* -1 (/ x (* t z))) (/ x t)))) |
(* -1 (* z (+ (* -1 (/ x (* t z))) (/ x t)))) |
(* -1 (* z (+ (* -1 (/ x (* t z))) (/ x t)))) |
(/ (+ x (* -1 (* x z))) t) |
(/ (+ x (* -1 (* x z))) t) |
(/ (+ x (* -1 (* x z))) t) |
(/ (+ x (* -1 (* x z))) t) |
(/ (+ x (* -1 (* x z))) t) |
(/ (+ x (* -1 (* x z))) t) |
(/ (+ x (* -1 (* x z))) t) |
(/ (+ x (* -1 (* x z))) t) |
(/ (+ x (* -1 (* x z))) t) |
(/ (+ x (* -1 (* x z))) t) |
(/ (+ x (* -1 (* x z))) t) |
(/ (+ x (* -1 (* x z))) t) |
(* (pow z 2) (pow (- t x) 2)) |
(* (pow z 2) (pow (- t x) 2)) |
(* (pow z 2) (pow (- t x) 2)) |
(* (pow z 2) (pow (- t x) 2)) |
(* (pow z 2) (pow (- t x) 2)) |
(* (pow z 2) (pow (- t x) 2)) |
(* (pow z 2) (pow (- t x) 2)) |
(* (pow z 2) (pow (- t x) 2)) |
(* (pow z 2) (pow (- t x) 2)) |
(* (pow z 2) (pow (- t x) 2)) |
(* (pow z 2) (pow (- t x) 2)) |
(* (pow z 2) (pow (- t x) 2)) |
(* (pow x 2) (pow z 2)) |
(+ (* -2 (* t (* x (pow z 2)))) (* (pow x 2) (pow z 2))) |
(+ (* t (+ (* -2 (* x (pow z 2))) (* t (pow z 2)))) (* (pow x 2) (pow z 2))) |
(+ (* t (+ (* -2 (* x (pow z 2))) (* t (pow z 2)))) (* (pow x 2) (pow z 2))) |
(* (pow t 2) (pow z 2)) |
(* (pow t 2) (+ (* -2 (/ (* x (pow z 2)) t)) (pow z 2))) |
(* (pow t 2) (+ (* -2 (/ (* x (pow z 2)) t)) (+ (/ (* (pow x 2) (pow z 2)) (pow t 2)) (pow z 2)))) |
(* (pow t 2) (+ (* -2 (/ (* x (pow z 2)) t)) (+ (/ (* (pow x 2) (pow z 2)) (pow t 2)) (pow z 2)))) |
(* (pow t 2) (pow z 2)) |
(* (pow t 2) (+ (* -2 (/ (* x (pow z 2)) t)) (pow z 2))) |
(* (pow t 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow z 2)) t)) (* 2 (* x (pow z 2)))) t)) (pow z 2))) |
(* (pow t 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow z 2)) t)) (* 2 (* x (pow z 2)))) t)) (pow z 2))) |
(* (pow t 2) (pow z 2)) |
(+ (* -2 (* t (* x (pow z 2)))) (* (pow t 2) (pow z 2))) |
(+ (* x (+ (* -2 (* t (pow z 2))) (* x (pow z 2)))) (* (pow t 2) (pow z 2))) |
(+ (* x (+ (* -2 (* t (pow z 2))) (* x (pow z 2)))) (* (pow t 2) (pow z 2))) |
(* (pow x 2) (pow z 2)) |
(* (pow x 2) (+ (* -2 (/ (* t (pow z 2)) x)) (pow z 2))) |
(* (pow x 2) (+ (* -2 (/ (* t (pow z 2)) x)) (+ (/ (* (pow t 2) (pow z 2)) (pow x 2)) (pow z 2)))) |
(* (pow x 2) (+ (* -2 (/ (* t (pow z 2)) x)) (+ (/ (* (pow t 2) (pow z 2)) (pow x 2)) (pow z 2)))) |
(* (pow x 2) (pow z 2)) |
(* (pow x 2) (+ (* -2 (/ (* t (pow z 2)) x)) (pow z 2))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow t 2) (pow z 2)) x)) (* 2 (* t (pow z 2)))) x)) (pow z 2))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow t 2) (pow z 2)) x)) (* 2 (* t (pow z 2)))) x)) (pow z 2))) |
| 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 y (*.f64 z (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 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)))))))))) |
(+.f64 x (fma.f64 y (*.f64 z (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))))) (*.f64 z t))) |
(+ 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)))))))))) |
(+.f64 x (fma.f64 (*.f64 y z) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))))) (*.f64 t (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 z (*.f64 t t)) (*.f64 y y)) z)))) |
(+ 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)))))))))) |
(+.f64 x (fma.f64 (*.f64 y z) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))))) (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 #s(literal -1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 z (*.f64 t t))) (pow.f64 y #s(literal 4 binary64)))) z)))) |
(+ 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)))))))))) |
(fma.f64 (*.f64 y z) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y)))))))) 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)))))))))) |
(fma.f64 (*.f64 y z) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y)))))))) x) |
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(fma.f64 (*.f64 y z) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y)))))))) x) |
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(/.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/12 binary64) (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x)))))))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x)))) #s(literal 0 binary64)))) (neg.f64 y)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 y)) (neg.f64 y)) x) (neg.f64 y)) |
(/ (* x (+ 1 (* -1 z))) t) |
(/.f64 (-.f64 x (*.f64 x z)) t) |
(/ (* x (+ 1 (* -1 z))) t) |
(/.f64 (-.f64 x (*.f64 x z)) t) |
(/ (* x (+ 1 (* -1 z))) t) |
(/.f64 (-.f64 x (*.f64 x z)) t) |
(/ (* x (+ 1 (* -1 z))) t) |
(/.f64 (-.f64 x (*.f64 x z)) t) |
(/ (* x (+ 1 (* -1 z))) t) |
(/.f64 (-.f64 x (*.f64 x z)) t) |
(/ (* x (+ 1 (* -1 z))) t) |
(/.f64 (-.f64 x (*.f64 x z)) t) |
(/ (* x (+ 1 (* -1 z))) t) |
(/.f64 (-.f64 x (*.f64 x z)) t) |
(/ (* x (+ 1 (* -1 z))) t) |
(/.f64 (-.f64 x (*.f64 x z)) t) |
(* -1 (/ (* x (- z 1)) t)) |
(/.f64 (-.f64 x (*.f64 x z)) t) |
(* -1 (/ (* x (- z 1)) t)) |
(/.f64 (-.f64 x (*.f64 x z)) t) |
(* -1 (/ (* x (- z 1)) t)) |
(/.f64 (-.f64 x (*.f64 x z)) t) |
(* -1 (/ (* x (- z 1)) t)) |
(/.f64 (-.f64 x (*.f64 x z)) t) |
(/ x t) |
(/.f64 x t) |
(+ (* -1 (/ (* x z) t)) (/ x t)) |
(-.f64 (/.f64 x t) (/.f64 (*.f64 x z) t)) |
(+ (* -1 (/ (* x z) t)) (/ x t)) |
(-.f64 (/.f64 x t) (/.f64 (*.f64 x z) t)) |
(+ (* -1 (/ (* x z) t)) (/ x t)) |
(-.f64 (/.f64 x t) (/.f64 (*.f64 x z) t)) |
(* -1 (/ (* x z) t)) |
(*.f64 x (/.f64 z (neg.f64 t))) |
(* z (+ (* -1 (/ x t)) (/ x (* t z)))) |
(*.f64 z (-.f64 (/.f64 x (*.f64 z t)) (/.f64 x t))) |
(* z (+ (* -1 (/ x t)) (/ x (* t z)))) |
(*.f64 z (-.f64 (/.f64 x (*.f64 z t)) (/.f64 x t))) |
(* z (+ (* -1 (/ x t)) (/ x (* t z)))) |
(*.f64 z (-.f64 (/.f64 x (*.f64 z t)) (/.f64 x t))) |
(* -1 (/ (* x z) t)) |
(*.f64 x (/.f64 z (neg.f64 t))) |
(* -1 (* z (+ (* -1 (/ x (* t z))) (/ x t)))) |
(neg.f64 (*.f64 z (-.f64 (/.f64 x t) (/.f64 x (*.f64 z t))))) |
(* -1 (* z (+ (* -1 (/ x (* t z))) (/ x t)))) |
(neg.f64 (*.f64 z (-.f64 (/.f64 x t) (/.f64 x (*.f64 z t))))) |
(* -1 (* z (+ (* -1 (/ x (* t z))) (/ x t)))) |
(neg.f64 (*.f64 z (-.f64 (/.f64 x t) (/.f64 x (*.f64 z t))))) |
(/ (+ x (* -1 (* x z))) t) |
(/.f64 (-.f64 x (*.f64 x z)) t) |
(/ (+ x (* -1 (* x z))) t) |
(/.f64 (-.f64 x (*.f64 x z)) t) |
(/ (+ x (* -1 (* x z))) t) |
(/.f64 (-.f64 x (*.f64 x z)) t) |
(/ (+ x (* -1 (* x z))) t) |
(/.f64 (-.f64 x (*.f64 x z)) t) |
(/ (+ x (* -1 (* x z))) t) |
(/.f64 (-.f64 x (*.f64 x z)) t) |
(/ (+ x (* -1 (* x z))) t) |
(/.f64 (-.f64 x (*.f64 x z)) t) |
(/ (+ x (* -1 (* x z))) t) |
(/.f64 (-.f64 x (*.f64 x z)) t) |
(/ (+ x (* -1 (* x z))) t) |
(/.f64 (-.f64 x (*.f64 x z)) t) |
(/ (+ x (* -1 (* x z))) t) |
(/.f64 (-.f64 x (*.f64 x z)) t) |
(/ (+ x (* -1 (* x z))) t) |
(/.f64 (-.f64 x (*.f64 x z)) t) |
(/ (+ x (* -1 (* x z))) t) |
(/.f64 (-.f64 x (*.f64 x z)) t) |
(/ (+ x (* -1 (* x z))) t) |
(/.f64 (-.f64 x (*.f64 x z)) t) |
(* (pow z 2) (pow (- t x) 2)) |
(*.f64 (*.f64 z (-.f64 t x)) (*.f64 z (-.f64 t x))) |
(* (pow z 2) (pow (- t x) 2)) |
(*.f64 (*.f64 z (-.f64 t x)) (*.f64 z (-.f64 t x))) |
(* (pow z 2) (pow (- t x) 2)) |
(*.f64 (*.f64 z (-.f64 t x)) (*.f64 z (-.f64 t x))) |
(* (pow z 2) (pow (- t x) 2)) |
(*.f64 (*.f64 z (-.f64 t x)) (*.f64 z (-.f64 t x))) |
(* (pow z 2) (pow (- t x) 2)) |
(*.f64 (*.f64 z (-.f64 t x)) (*.f64 z (-.f64 t x))) |
(* (pow z 2) (pow (- t x) 2)) |
(*.f64 (*.f64 z (-.f64 t x)) (*.f64 z (-.f64 t x))) |
(* (pow z 2) (pow (- t x) 2)) |
(*.f64 (*.f64 z (-.f64 t x)) (*.f64 z (-.f64 t x))) |
(* (pow z 2) (pow (- t x) 2)) |
(*.f64 (*.f64 z (-.f64 t x)) (*.f64 z (-.f64 t x))) |
(* (pow z 2) (pow (- t x) 2)) |
(*.f64 (*.f64 z (-.f64 t x)) (*.f64 z (-.f64 t x))) |
(* (pow z 2) (pow (- t x) 2)) |
(*.f64 (*.f64 z (-.f64 t x)) (*.f64 z (-.f64 t x))) |
(* (pow z 2) (pow (- t x) 2)) |
(*.f64 (*.f64 z (-.f64 t x)) (*.f64 z (-.f64 t x))) |
(* (pow z 2) (pow (- t x) 2)) |
(*.f64 (*.f64 z (-.f64 t x)) (*.f64 z (-.f64 t x))) |
(* (pow x 2) (pow z 2)) |
(*.f64 (*.f64 x x) (*.f64 z z)) |
(+ (* -2 (* t (* x (pow z 2)))) (* (pow x 2) (pow z 2))) |
(fma.f64 (*.f64 x x) (*.f64 z z) (*.f64 (*.f64 #s(literal -2 binary64) t) (*.f64 x (*.f64 z z)))) |
(+ (* t (+ (* -2 (* x (pow z 2))) (* t (pow z 2)))) (* (pow x 2) (pow z 2))) |
(fma.f64 t (fma.f64 t (*.f64 z z) (*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 z z)))) (*.f64 (*.f64 x x) (*.f64 z z))) |
(+ (* t (+ (* -2 (* x (pow z 2))) (* t (pow z 2)))) (* (pow x 2) (pow z 2))) |
(fma.f64 t (fma.f64 t (*.f64 z z) (*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 z z)))) (*.f64 (*.f64 x x) (*.f64 z z))) |
(* (pow t 2) (pow z 2)) |
(*.f64 (*.f64 z t) (*.f64 z t)) |
(* (pow t 2) (+ (* -2 (/ (* x (pow z 2)) t)) (pow z 2))) |
(*.f64 (*.f64 t t) (fma.f64 z z (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 z z))) t))) |
(* (pow t 2) (+ (* -2 (/ (* x (pow z 2)) t)) (+ (/ (* (pow x 2) (pow z 2)) (pow t 2)) (pow z 2)))) |
(*.f64 (*.f64 t t) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 x (*.f64 z z)) t) (fma.f64 (*.f64 x x) (/.f64 (*.f64 z z) (*.f64 t t)) (*.f64 z z)))) |
(* (pow t 2) (+ (* -2 (/ (* x (pow z 2)) t)) (+ (/ (* (pow x 2) (pow z 2)) (pow t 2)) (pow z 2)))) |
(*.f64 (*.f64 t t) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 x (*.f64 z z)) t) (fma.f64 (*.f64 x x) (/.f64 (*.f64 z z) (*.f64 t t)) (*.f64 z z)))) |
(* (pow t 2) (pow z 2)) |
(*.f64 (*.f64 z t) (*.f64 z t)) |
(* (pow t 2) (+ (* -2 (/ (* x (pow z 2)) t)) (pow z 2))) |
(*.f64 (*.f64 t t) (fma.f64 z z (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 z z))) t))) |
(* (pow t 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow z 2)) t)) (* 2 (* x (pow z 2)))) t)) (pow z 2))) |
(*.f64 (*.f64 t t) (fma.f64 z z (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x (*.f64 z z)) (/.f64 (*.f64 (*.f64 x x) (*.f64 z z)) (neg.f64 t))) (neg.f64 t)))) |
(* (pow t 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow z 2)) t)) (* 2 (* x (pow z 2)))) t)) (pow z 2))) |
(*.f64 (*.f64 t t) (fma.f64 z z (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x (*.f64 z z)) (/.f64 (*.f64 (*.f64 x x) (*.f64 z z)) (neg.f64 t))) (neg.f64 t)))) |
(* (pow t 2) (pow z 2)) |
(*.f64 (*.f64 z t) (*.f64 z t)) |
(+ (* -2 (* t (* x (pow z 2)))) (* (pow t 2) (pow z 2))) |
(fma.f64 (*.f64 #s(literal -2 binary64) t) (*.f64 x (*.f64 z z)) (*.f64 (*.f64 z t) (*.f64 z t))) |
(+ (* x (+ (* -2 (* t (pow z 2))) (* x (pow z 2)))) (* (pow t 2) (pow z 2))) |
(fma.f64 x (fma.f64 x (*.f64 z z) (*.f64 #s(literal -2 binary64) (*.f64 t (*.f64 z z)))) (*.f64 (*.f64 z t) (*.f64 z t))) |
(+ (* x (+ (* -2 (* t (pow z 2))) (* x (pow z 2)))) (* (pow t 2) (pow z 2))) |
(fma.f64 x (fma.f64 x (*.f64 z z) (*.f64 #s(literal -2 binary64) (*.f64 t (*.f64 z z)))) (*.f64 (*.f64 z t) (*.f64 z t))) |
(* (pow x 2) (pow z 2)) |
(*.f64 (*.f64 x x) (*.f64 z z)) |
(* (pow x 2) (+ (* -2 (/ (* t (pow z 2)) x)) (pow z 2))) |
(*.f64 (*.f64 x x) (fma.f64 z z (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 t (*.f64 z z))) x))) |
(* (pow x 2) (+ (* -2 (/ (* t (pow z 2)) x)) (+ (/ (* (pow t 2) (pow z 2)) (pow x 2)) (pow z 2)))) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 t (*.f64 z z)) x) (fma.f64 z z (/.f64 (*.f64 (*.f64 z t) (*.f64 z t)) (*.f64 x x))))) |
(* (pow x 2) (+ (* -2 (/ (* t (pow z 2)) x)) (+ (/ (* (pow t 2) (pow z 2)) (pow x 2)) (pow z 2)))) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 t (*.f64 z z)) x) (fma.f64 z z (/.f64 (*.f64 (*.f64 z t) (*.f64 z t)) (*.f64 x x))))) |
(* (pow x 2) (pow z 2)) |
(*.f64 (*.f64 x x) (*.f64 z z)) |
(* (pow x 2) (+ (* -2 (/ (* t (pow z 2)) x)) (pow z 2))) |
(*.f64 (*.f64 x x) (fma.f64 z z (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 t (*.f64 z z))) x))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow t 2) (pow z 2)) x)) (* 2 (* t (pow z 2)))) x)) (pow z 2))) |
(*.f64 (*.f64 x x) (-.f64 (*.f64 z z) (/.f64 (fma.f64 (*.f64 t t) (/.f64 (*.f64 z z) x) (*.f64 #s(literal -2 binary64) (*.f64 t (*.f64 z z)))) (neg.f64 x)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow t 2) (pow z 2)) x)) (* 2 (* t (pow z 2)))) x)) (pow z 2))) |
(*.f64 (*.f64 x x) (-.f64 (*.f64 z z) (/.f64 (fma.f64 (*.f64 t t) (/.f64 (*.f64 z z) x) (*.f64 #s(literal -2 binary64) (*.f64 t (*.f64 z z)))) (neg.f64 x)))) |
| 6 510× | lower-*.f32 |
| 6 494× | lower-*.f64 |
| 3 570× | lower-/.f32 |
| 3 558× | lower-/.f64 |
| 2 414× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 354 |
| 0 | 78 | 320 |
| 1 | 333 | 272 |
| 2 | 2874 | 272 |
| 0 | 8930 | 268 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) |
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) |
(-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) |
(tanh.f64 (/.f64 t y)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) |
#s(approx (+ (* z (- t x)) x) (*.f64 z t)) |
(*.f64 z t) |
(*.f64 (neg.f64 t) (-.f64 (neg.f64 z) (/.f64 (fma.f64 x (neg.f64 z) x) t))) |
(-.f64 (neg.f64 z) (/.f64 (fma.f64 x (neg.f64 z) x) t)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 (neg.f64 t) (-.f64 (neg.f64 z) (/.f64 (fma.f64 x (neg.f64 z) x) t))))) |
#s(approx (+ (* z (- t x)) x) (*.f64 (neg.f64 t) (-.f64 (neg.f64 z) (/.f64 (fma.f64 x (neg.f64 z) x) t)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 t x) (*.f64 (+.f64 t x) (-.f64 t x)))) |
(/.f64 (+.f64 t x) (*.f64 (+.f64 t x) (-.f64 t x))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 t x) (*.f64 (+.f64 t x) (-.f64 t x)))) x)) |
(fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 t x) (*.f64 (+.f64 t x) (-.f64 t x)))) x) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) (-.f64 x (*.f64 z (-.f64 t x)))) |
(-.f64 (*.f64 x x) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) |
(-.f64 x (*.f64 z (-.f64 t x))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) (-.f64 x (*.f64 z (-.f64 t x))))) |
#s(approx (tanh (/ x y)) (/.f64 x y)) |
(/.f64 (fma.f64 x (neg.f64 z) x) t) |
(*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))) |
| Outputs |
|---|
(+.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z))) |
(+.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) x) |
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) (neg.f64 x)))) |
(fma.f64 y (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) z) x) |
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x) |
(fma.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) z x) |
(fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) x) |
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) x) |
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) z) y x) |
(fma.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) y x) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z))) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64))) (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x x)))) |
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z))) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 (*.f64 y z) x))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) (neg.f64 x))) |
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(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x)))) (fma.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x))) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (fma.f64 (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x)))) (fma.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x))) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x)))) (*.f64 (*.f64 z (-.f64 t x)) (*.f64 (*.f64 z (-.f64 t x)) (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x))))))))) (*.f64 (fma.f64 (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x)))) (fma.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x))) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x)))) (fma.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x))) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x))) (*.f64 x x))) (*.f64 (fma.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x))) (*.f64 x x)) (*.f64 (*.f64 z (-.f64 t x)) (*.f64 (*.f64 z (-.f64 t x)) (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x)))))))) (*.f64 (fma.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x))) (*.f64 x x)) (fma.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x))) (*.f64 x x)))) |
(pow.f64 (/.f64 (fma.f64 (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x)))) (fma.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x))) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x)))) (fma.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x))) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 z (-.f64 t x) x) (-.f64 x (*.f64 z (-.f64 t x)))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x))) (*.f64 x x)) (*.f64 (fma.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x))) (*.f64 x x)) (*.f64 (fma.f64 z (-.f64 t x) x) (-.f64 x (*.f64 z (-.f64 t x)))))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 z (-.f64 t x) x) (-.f64 x (*.f64 z (-.f64 t x)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x)))) (fma.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x))) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 z (-.f64 t x) x) (-.f64 x (*.f64 z (-.f64 t x))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x)))) (fma.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x))) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(*.f64 (*.f64 (fma.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x))) (*.f64 x x)) (*.f64 (fma.f64 z (-.f64 t x) x) (-.f64 x (*.f64 z (-.f64 t x))))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x))) (*.f64 x x)))) |
(+.f64 x (neg.f64 (*.f64 z (-.f64 t x)))) |
(+.f64 (neg.f64 (*.f64 z (-.f64 t x))) x) |
(-.f64 x (*.f64 z (-.f64 t x))) |
(-.f64 (/.f64 (*.f64 x x) (fma.f64 z (-.f64 t x) x)) (/.f64 (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x)))) (fma.f64 z (-.f64 t x) x))) |
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 z (-.f64 t x)) (fma.f64 z (-.f64 t x) x) (*.f64 x x))) (/.f64 (*.f64 (*.f64 z (-.f64 t x)) (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x))))) (fma.f64 (*.f64 z (-.f64 t x)) (fma.f64 z (-.f64 t x) x) (*.f64 x x)))) |
(fma.f64 z (neg.f64 (-.f64 t x)) x) |
(fma.f64 (neg.f64 z) (-.f64 t x) x) |
(fma.f64 (-.f64 t x) (neg.f64 z) x) |
(fma.f64 #s(literal -1 binary64) (*.f64 z (-.f64 t x)) x) |
(fma.f64 (neg.f64 (-.f64 t x)) z x) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (-.f64 t x) x) (*.f64 (fma.f64 z (-.f64 t x) x) (-.f64 x (*.f64 z (-.f64 t x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 z (-.f64 t x)) (fma.f64 z (-.f64 t x) x) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 z (-.f64 t x)) (fma.f64 z (-.f64 t x) x) (*.f64 x x)) (-.f64 x (*.f64 z (-.f64 t x)))))) |
(/.f64 (*.f64 (fma.f64 z (-.f64 t x) x) (-.f64 x (*.f64 z (-.f64 t x)))) (fma.f64 z (-.f64 t x) x)) |
(/.f64 (*.f64 (fma.f64 z (-.f64 t x) x) (-.f64 x (*.f64 z (-.f64 t x)))) (-.f64 x (neg.f64 (*.f64 z (-.f64 t x))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 z (-.f64 t x) x) (-.f64 x (*.f64 z (-.f64 t x))))) (neg.f64 (fma.f64 z (-.f64 t x) x))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x)))) (fma.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x))) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 z (-.f64 t x) x) (-.f64 x (*.f64 z (-.f64 t x))))) (*.f64 (fma.f64 z (-.f64 t x) x) (fma.f64 (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x)))) (fma.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x))) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 z (-.f64 t x)) (fma.f64 z (-.f64 t x) x) (*.f64 x x)) (-.f64 x (*.f64 z (-.f64 t x)))) (fma.f64 (*.f64 z (-.f64 t x)) (fma.f64 z (-.f64 t x) x) (*.f64 x x))) |
(/.f64 (*.f64 (fma.f64 (*.f64 z (-.f64 t x)) (fma.f64 z (-.f64 t x) x) (*.f64 x x)) (-.f64 x (*.f64 z (-.f64 t x)))) (fma.f64 x x (-.f64 (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x)))) (*.f64 x (neg.f64 (*.f64 z (-.f64 t x))))))) |
(/.f64 (*.f64 (fma.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x))) (*.f64 x x)) (*.f64 (fma.f64 z (-.f64 t x) x) (-.f64 x (*.f64 z (-.f64 t x))))) (*.f64 (fma.f64 z (-.f64 t x) x) (fma.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x))) (*.f64 x x)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 z (-.f64 t x)) (fma.f64 z (-.f64 t x) x) (*.f64 x x)) (-.f64 x (*.f64 z (-.f64 t x))))) (neg.f64 (fma.f64 (*.f64 z (-.f64 t x)) (fma.f64 z (-.f64 t x) x) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 z (-.f64 t x) x)) (*.f64 (fma.f64 z (-.f64 t x) x) (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x)))))) (*.f64 (fma.f64 z (-.f64 t x) x) (fma.f64 z (-.f64 t x) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 z (-.f64 t x)) (fma.f64 z (-.f64 t x) x) (*.f64 x x))) (*.f64 (fma.f64 (*.f64 z (-.f64 t x)) (fma.f64 z (-.f64 t x) x) (*.f64 x x)) (*.f64 (*.f64 z (-.f64 t x)) (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x))))))) (*.f64 (fma.f64 (*.f64 z (-.f64 t x)) (fma.f64 z (-.f64 t x) x) (*.f64 x x)) (fma.f64 (*.f64 z (-.f64 t x)) (fma.f64 z (-.f64 t x) x) (*.f64 x x)))) |
(pow.f64 (/.f64 (fma.f64 z (-.f64 t x) x) (*.f64 (fma.f64 z (-.f64 t x) x) (-.f64 x (*.f64 z (-.f64 t x))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 z (-.f64 t x)) (fma.f64 z (-.f64 t x) x) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 z (-.f64 t x)) (fma.f64 z (-.f64 t x) x) (*.f64 x x)) (-.f64 x (*.f64 z (-.f64 t x))))) #s(literal -1 binary64)) |
(*.f64 (*.f64 (fma.f64 z (-.f64 t x) x) (-.f64 x (*.f64 z (-.f64 t x)))) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 t x) x))) |
(*.f64 (*.f64 (fma.f64 (*.f64 z (-.f64 t x)) (fma.f64 z (-.f64 t x) x) (*.f64 x x)) (-.f64 x (*.f64 z (-.f64 t x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z (-.f64 t x)) (fma.f64 z (-.f64 t x) x) (*.f64 x x)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 z (-.f64 t x) x) (-.f64 x (*.f64 z (-.f64 t x)))) (fma.f64 (*.f64 z (-.f64 t x)) (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x)))) (*.f64 x (*.f64 x x)))) (fma.f64 x (-.f64 x (*.f64 z (-.f64 t x))) (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x)))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 z (-.f64 t x) x) (-.f64 x (*.f64 z (-.f64 t x)))) (*.f64 (fma.f64 z (-.f64 t x) x) (-.f64 (*.f64 z (-.f64 t x)) x))) (-.f64 (*.f64 z (-.f64 t x)) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)) |
#s(approx (tanh (/ x y)) (/.f64 x y)) |
(exp.f64 (*.f64 (log.f64 (/.f64 t (-.f64 x (*.f64 x z)))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (-.f64 x (*.f64 x z)) (neg.f64 t))) |
(/.f64 (-.f64 x (*.f64 x z)) t) |
(/.f64 #s(literal 1 binary64) (/.f64 t (-.f64 x (*.f64 x z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t (-.f64 x (*.f64 x z))) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 t (-.f64 x (*.f64 x z))))) |
(/.f64 (neg.f64 (-.f64 x (*.f64 x z))) (neg.f64 t)) |
(/.f64 (fma.f64 (*.f64 x (neg.f64 z)) (*.f64 (*.f64 x x) (*.f64 z z)) (*.f64 x (*.f64 x x))) (*.f64 t (fma.f64 x (-.f64 x (*.f64 x (neg.f64 z))) (*.f64 (*.f64 x x) (*.f64 z z))))) |
(/.f64 (fma.f64 (*.f64 x x) (*.f64 z z) (neg.f64 (*.f64 x x))) (*.f64 t (fma.f64 x (neg.f64 z) (neg.f64 x)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (neg.f64 z)) (*.f64 (*.f64 x x) (*.f64 z z)) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (fma.f64 x (-.f64 x (*.f64 x (neg.f64 z))) (*.f64 (*.f64 x x) (*.f64 z z))) t)) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 z z) (neg.f64 (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (fma.f64 x (neg.f64 z) (neg.f64 x)) t)) |
(/.f64 (*.f64 (-.f64 x (*.f64 x z)) #s(literal 1 binary64)) t) |
(/.f64 (neg.f64 (neg.f64 (-.f64 x (*.f64 x z)))) (neg.f64 (neg.f64 t))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (neg.f64 z)) (*.f64 (*.f64 x x) (*.f64 z z)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) t)) (fma.f64 x (-.f64 x (*.f64 x (neg.f64 z))) (*.f64 (*.f64 x x) (*.f64 z z)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 z z) (neg.f64 (*.f64 x x))) (/.f64 #s(literal 1 binary64) t)) (fma.f64 x (neg.f64 z) (neg.f64 x))) |
(/.f64 (/.f64 (neg.f64 (-.f64 x (*.f64 x z))) #s(literal -1 binary64)) t) |
(pow.f64 (/.f64 t (-.f64 x (*.f64 x z))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 t (-.f64 x (*.f64 x z))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 (-.f64 x (*.f64 x z)) (/.f64 #s(literal 1 binary64) t)) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 x z)) t)) |
(*.f64 (neg.f64 (-.f64 x (*.f64 x z))) (/.f64 #s(literal 1 binary64) (neg.f64 t))) |
(*.f64 (/.f64 #s(literal 1 binary64) t) (-.f64 x (*.f64 x z))) |
(*.f64 (/.f64 #s(literal 1 binary64) t) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 x z))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 t (fma.f64 (*.f64 x (neg.f64 z)) (*.f64 (*.f64 x x) (*.f64 z z)) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 x (neg.f64 z))) (*.f64 (*.f64 x x) (*.f64 z z))))) |
(*.f64 (pow.f64 (/.f64 t (fma.f64 (*.f64 x x) (*.f64 z z) (neg.f64 (*.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 z) (neg.f64 x)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 z (-.f64 t x))) #s(literal 2 binary64))) |
(/.f64 (*.f64 z z) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (-.f64 t x)))) |
(/.f64 (*.f64 z (*.f64 z (-.f64 t x))) (/.f64 #s(literal 1 binary64) (-.f64 t x))) |
(/.f64 (*.f64 (*.f64 z (-.f64 t x)) z) (/.f64 #s(literal 1 binary64) (-.f64 t x))) |
(pow.f64 (*.f64 z (-.f64 t x)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (*.f64 z (-.f64 t x))) #s(literal 2 binary64)) |
(*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))) |
(*.f64 #s(literal 1 binary64) (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x))))) |
(*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x)))) |
(*.f64 (-.f64 t x) (*.f64 (*.f64 z (-.f64 t x)) z)) |
(*.f64 (*.f64 z (-.f64 t x)) (*.f64 z (-.f64 t x))) |
(*.f64 (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))) z) |
(*.f64 (*.f64 z z) (*.f64 (-.f64 t x) (-.f64 t x))) |
(*.f64 (neg.f64 (*.f64 z (-.f64 t x))) (neg.f64 (*.f64 z (-.f64 t x)))) |
(*.f64 (*.f64 (-.f64 t x) (-.f64 t x)) (*.f64 z z)) |
(*.f64 (*.f64 z (*.f64 z (-.f64 t x))) (-.f64 t x)) |
(*.f64 (*.f64 (*.f64 z (-.f64 t x)) z) (-.f64 t x)) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 t x)) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (+.f64 t x) (-.f64 t x)) z) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (/.f64 z (+.f64 t x)) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 (+.f64 t x) (-.f64 t x)))) |
(*.f64 (pow.f64 (/.f64 z (+.f64 t x)) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 t x) (-.f64 t x)))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (*.f64 z (/.f64 #s(literal 1 binary64) (+.f64 t x))) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 (+.f64 t x) (-.f64 t x)))) |
(*.f64 (pow.f64 (/.f64 z #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (-.f64 t x) (-.f64 t x))) |
(*.f64 (pow.f64 (/.f64 z (neg.f64 (+.f64 t x))) #s(literal 2 binary64)) (pow.f64 (*.f64 (-.f64 t x) (neg.f64 (+.f64 t x))) #s(literal 2 binary64))) |
Compiled 45 427 to 2 497 computations (94.5% saved)
41 alts after pruning (37 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 224 | 26 | 1 250 |
| Fresh | 7 | 11 | 18 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 234 | 41 | 1 275 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 71.0% | (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x) |
| ✓ | 99.2% | (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) |
| ✓ | 74.9% | (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) |
| 45.0% | (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (*.f64 x (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) y))))) y) z x) | |
| 65.7% | (fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) | |
| 63.8% | (+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))) | |
| 28.7% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y))))) | |
| 32.5% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 y (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y))))) | |
| ▶ | 31.0% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x)))))) |
| 49.7% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))) | |
| 51.7% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x)))))) | |
| 51.6% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))))) | |
| 54.2% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))))) | |
| 53.9% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (fma.f64 t (+.f64 (/.f64 t (*.f64 x (*.f64 x (neg.f64 x)))) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) x)))) x)) | |
| ▶ | 52.3% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (-.f64 (/.f64 (*.f64 t t) (*.f64 x (neg.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 t x))) x))) x)) |
| 60.8% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 t (neg.f64 t)) x) t) x)) (neg.f64 x)))) x)) | |
| 58.6% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 x x) t) x) t)) #s(literal -1 binary64)) (neg.f64 t)))) x)) | |
| 44.9% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 x x) (*.f64 t t)) (/.f64 x t))) t))) x)) | |
| 58.9% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 t (neg.f64 x))) x))) x)) | |
| 56.3% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 #s(literal 1 binary64) t))) x)) | |
| ✓ | 60.7% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)) |
| 33.5% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (fma.f64 t (*.f64 t t) (*.f64 x (*.f64 x x)))) (fma.f64 t t (*.f64 x (-.f64 x t)))) x)) | |
| 60.7% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 t x)) (-.f64 t x)) (+.f64 t x)) x)) | |
| 57.3% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (/ 1 (/ (+ t x) (* (+ t x) (- t x)))) (neg.f64 x)) x)) | |
| 17.8% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) (/.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 z (-.f64 t x) x)) (*.f64 (fma.f64 z (-.f64 t x) x) (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x)))))) (*.f64 (fma.f64 z (-.f64 t x) x) (fma.f64 z (-.f64 t x) x))))) | |
| 24.2% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (*.f64 x x) #s(approx (* z (* (- t x) (* z (- t x)))) (fma.f64 (*.f64 x x) (*.f64 z z) (*.f64 (*.f64 #s(literal -2 binary64) t) (*.f64 x (*.f64 z z)))))) (-.f64 x (*.f64 z (-.f64 t x))))) | |
| 24.9% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(approx (- (* x x) (* z (* (- t x) (* z (- t x))))) (*.f64 (*.f64 x x) (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 t (*.f64 z z)) x) #s(literal 1 binary64)) (*.f64 z z)))) (-.f64 x (*.f64 z (-.f64 t x))))) | |
| 25.2% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(approx (- (* x x) (* z (* (- t x) (* z (- t x))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 z z)))) (-.f64 x (*.f64 z (-.f64 t x))))) | |
| 60.6% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 t x) x)))) | |
| 24.9% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (fma.f64 t (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 x (*.f64 z z)) (fma.f64 x z x)) (*.f64 z (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 z z))) (*.f64 (fma.f64 x z x) (fma.f64 x z x))))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 z z))) (fma.f64 x z x))))) | |
| 30.6% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 z z))) (fma.f64 x z x)))) | |
| ▶ | 21.0% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x))) (-.f64 t x)))) |
| 55.4% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z z))) (+.f64 z #s(literal 1 binary64))))) | |
| ▶ | 26.6% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z (-.f64 t x)))) |
| 13.8% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (- (+ (* z (- t x)) x) (/ (+ (* (+ (* x (* (* x x) -1/2)) (+ (* t (* (* t t) 1/3)) (* x (* (* x x) 1/6)))) (/ z y)) 0) y)) (*.f64 (-.f64 (/.f64 z (*.f64 x x)) (fma.f64 (/.f64 z (*.f64 y y)) #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 x (*.f64 x (neg.f64 x)))))) | |
| 13.2% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 (neg.f64 t) (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 t (fma.f64 x (neg.f64 z) (neg.f64 x)))) (*.f64 (+.f64 #s(literal 0 binary64) z) (fma.f64 (*.f64 x x) (*.f64 z z) (neg.f64 (*.f64 x x))))) (*.f64 (+.f64 #s(literal 0 binary64) z) (*.f64 t (fma.f64 x (neg.f64 z) (neg.f64 x)))))))) | |
| 45.7% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 (neg.f64 t) #s(approx (- (neg z) (/ (+ (* x (neg z)) x) t)) (/.f64 (fma.f64 x z (neg.f64 x)) t))))) | |
| 45.6% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 (neg.f64 t) #s(approx (- (neg z) (/ (+ (* x (neg z)) x) t)) (/.f64 x (neg.f64 t)))))) | |
| ✓ | 16.9% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) |
| 26.1% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) #s(approx (* (neg t) (- (neg z) (/ (+ (* x (neg z)) x) t))) (*.f64 (*.f64 z t) (-.f64 #s(literal 1 binary64) (/.f64 x t)))))) | |
| 44.4% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) #s(approx (* (neg t) (- (neg z) (/ (+ (* x (neg z)) x) t))) (*.f64 t (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 z t))))))) |
Compiled 1 860 to 942 computations (49.4% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (-.f64 (/.f64 (*.f64 t t) (*.f64 x (neg.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 t x))) x))) | |
| cost-diff | 0 | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (-.f64 (/.f64 (*.f64 t t) (*.f64 x (neg.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 t x))) x))) x)) | |
| cost-diff | 192 | (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (-.f64 (/.f64 (*.f64 t t) (*.f64 x (neg.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 t x))) x))) x) | |
| cost-diff | 576 | (-.f64 (/.f64 (*.f64 t t) (*.f64 x (neg.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 t x))) | |
| cost-diff | 0 | (*.f64 y z) | |
| cost-diff | 0 | (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x))))) | |
| cost-diff | 128 | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x)))))) | |
| cost-diff | 1024 | (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x))) | |
| cost-diff | 0 | (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x))) | |
| cost-diff | 0 | #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x))) (-.f64 t x))) | |
| cost-diff | 0 | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x))) (-.f64 t x)))) | |
| cost-diff | 1408 | (/.f64 (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x))) (-.f64 t x)) | |
| cost-diff | 0 | (-.f64 t x) | |
| cost-diff | 0 | (*.f64 z (-.f64 t x)) | |
| cost-diff | 0 | #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z (-.f64 t x))) | |
| cost-diff | 0 | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z (-.f64 t x)))) | |
| cost-diff | 0 | (/.f64 t y) | |
| cost-diff | 0 | (tanh.f64 (/.f64 t y)) | |
| cost-diff | 0 | (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) | |
| cost-diff | 0 | (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x) |
| 6 120× | lower-fma.f32 |
| 6 116× | lower-fma.f64 |
| 4 270× | lower-*.f32 |
| 4 252× | lower-*.f64 |
| 2 158× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 582 |
| 0 | 89 | 558 |
| 1 | 206 | 508 |
| 2 | 504 | 494 |
| 3 | 1658 | 426 |
| 4 | 5703 | 418 |
| 0 | 8222 | 404 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x) |
(-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) |
(tanh.f64 (/.f64 t y)) |
(/.f64 t y) |
t |
y |
#s(approx (tanh (/ x y)) (/.f64 x y)) |
(/.f64 x y) |
x |
(*.f64 y z) |
z |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z (-.f64 t x)))) |
#s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z (-.f64 t x))) |
(*.f64 z (-.f64 t x)) |
z |
(-.f64 t x) |
t |
x |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x))) (-.f64 t x)))) |
#s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x))) (-.f64 t x))) |
(/.f64 (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x))) (-.f64 t x)) |
(*.f64 z (*.f64 (-.f64 t x) (-.f64 t x))) |
z |
(*.f64 (-.f64 t x) (-.f64 t x)) |
(-.f64 t x) |
t |
x |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x)))))) |
x |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x))))) |
(*.f64 y z) |
y |
z |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x)))) |
(/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x))) |
(*.f64 (+.f64 t x) (-.f64 t x)) |
(+.f64 t x) |
t |
(-.f64 t x) |
(*.f64 y (+.f64 t x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (-.f64 (/.f64 (*.f64 t t) (*.f64 x (neg.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 t x))) x))) x)) |
(fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (-.f64 (/.f64 (*.f64 t t) (*.f64 x (neg.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 t x))) x))) x) |
z |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (-.f64 (/.f64 (*.f64 t t) (*.f64 x (neg.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 t x))) x))) |
#s(literal 1 binary64) |
#s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (-.f64 (/.f64 (*.f64 t t) (*.f64 x (neg.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 t x))) x)) |
(/.f64 (-.f64 (/.f64 (*.f64 t t) (*.f64 x (neg.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 t x))) x) |
(-.f64 (/.f64 (*.f64 t t) (*.f64 x (neg.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 t x))) |
(/.f64 (*.f64 t t) (*.f64 x (neg.f64 x))) |
(*.f64 t t) |
t |
(*.f64 x (neg.f64 x)) |
x |
(neg.f64 x) |
(+.f64 #s(literal 1 binary64) (/.f64 t x)) |
(/.f64 t x) |
| Outputs |
|---|
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x) |
(fma.f64 y (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) z) x) |
(-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) |
(tanh.f64 (/.f64 t y)) |
(/.f64 t y) |
t |
y |
#s(approx (tanh (/ x y)) (/.f64 x y)) |
(/.f64 x y) |
x |
(*.f64 y z) |
z |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z (-.f64 t x)))) |
#s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z (-.f64 t x))) |
(*.f64 z (-.f64 t x)) |
z |
(-.f64 t x) |
t |
x |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x))) (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z (-.f64 t x)))) |
#s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x))) (-.f64 t x))) |
#s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z (-.f64 t x))) |
(/.f64 (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x))) (-.f64 t x)) |
(*.f64 z (-.f64 t x)) |
(*.f64 z (*.f64 (-.f64 t x) (-.f64 t x))) |
(*.f64 (*.f64 z (-.f64 t x)) (-.f64 t x)) |
z |
(*.f64 (-.f64 t x) (-.f64 t x)) |
(-.f64 t x) |
t |
x |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x)))))) |
(fma.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x) |
x |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x))))) |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) |
(*.f64 y z) |
y |
z |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x)))) |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) |
(/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x))) |
(/.f64 (-.f64 t x) y) |
(*.f64 (+.f64 t x) (-.f64 t x)) |
(*.f64 (-.f64 t x) (+.f64 t x)) |
(+.f64 t x) |
t |
(-.f64 t x) |
(*.f64 y (+.f64 t x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (-.f64 (/.f64 (*.f64 t t) (*.f64 x (neg.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 t x))) x))) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+.f64 x (/.f64 z #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (fma.f64 (/.f64 t x) (-.f64 #s(literal -1 binary64) (/.f64 t x)) #s(literal -1 binary64)) x))))) |
(fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (-.f64 (/.f64 (*.f64 t t) (*.f64 x (neg.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 t x))) x))) x) |
(+.f64 x (/.f64 z #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (fma.f64 (/.f64 t x) (-.f64 #s(literal -1 binary64) (/.f64 t x)) #s(literal -1 binary64)) x)))) |
z |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (-.f64 (/.f64 (*.f64 t t) (*.f64 x (neg.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 t x))) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (fma.f64 (/.f64 t x) (-.f64 #s(literal -1 binary64) (/.f64 t x)) #s(literal -1 binary64)) x))) |
#s(literal 1 binary64) |
#s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (-.f64 (/.f64 (*.f64 t t) (*.f64 x (neg.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 t x))) x)) |
#s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (fma.f64 (/.f64 t x) (-.f64 #s(literal -1 binary64) (/.f64 t x)) #s(literal -1 binary64)) x)) |
(/.f64 (-.f64 (/.f64 (*.f64 t t) (*.f64 x (neg.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 t x))) x) |
(/.f64 (fma.f64 (/.f64 t x) (-.f64 #s(literal -1 binary64) (/.f64 t x)) #s(literal -1 binary64)) x) |
(-.f64 (/.f64 (*.f64 t t) (*.f64 x (neg.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 t x))) |
(fma.f64 (/.f64 t x) (-.f64 #s(literal -1 binary64) (/.f64 t x)) #s(literal -1 binary64)) |
(/.f64 (*.f64 t t) (*.f64 x (neg.f64 x))) |
(*.f64 t t) |
t |
(*.f64 x (neg.f64 x)) |
x |
(neg.f64 x) |
(+.f64 #s(literal 1 binary64) (/.f64 t x)) |
(/.f64 t x) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 6.261667145755145 | (-.f64 (/.f64 (*.f64 t t) (*.f64 x (neg.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 t x))) | |
| accuracy | 12.005799616175155 | (/.f64 (*.f64 t t) (*.f64 x (neg.f64 x))) | |
| accuracy | 25.141671633854255 | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (-.f64 (/.f64 (*.f64 t t) (*.f64 x (neg.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 t x))) x))) x)) | |
| accuracy | 32.60790241438039 | #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (-.f64 (/.f64 (*.f64 t t) (*.f64 x (neg.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 t x))) x)) | |
| accuracy | 0.015625 | (*.f64 y (+.f64 t x)) | |
| accuracy | 3.0286005557910136 | (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x))))) | |
| accuracy | 23.287991668667082 | (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x))) | |
| accuracy | 40.771211595873126 | #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x)))) | |
| accuracy | 7.538098077707637 | (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x))) | |
| accuracy | 15.891101650470068 | (/.f64 (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x))) (-.f64 t x)) | |
| accuracy | 22.4627229114385 | #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x))) (-.f64 t x))) | |
| accuracy | 25.141671633854255 | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x))) (-.f64 t x)))) | |
| accuracy | 0 | (-.f64 t x) | |
| accuracy | 0.0078125 | (*.f64 z (-.f64 t x)) | |
| accuracy | 22.4627229114385 | #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z (-.f64 t x))) | |
| accuracy | 25.141671633854255 | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z (-.f64 t x)))) | |
| accuracy | 0.01171875 | (tanh.f64 (/.f64 t y)) | |
| accuracy | 0.049181980663730605 | (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) | |
| accuracy | 2.8732745933471215 | (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x) | |
| accuracy | 29.34567996216107 | #s(approx (tanh (/ x y)) (/.f64 x y)) |
| 90.0ms | 221× | 0 | valid |
| 24.0ms | 33× | 2 | valid |
| 1.0ms | 1× | 3 | valid |
| 1.0ms | 1× | 1 | valid |
Compiled 359 to 44 computations (87.7% saved)
ival-mult: 22.0ms (33.4% of total)ival-div: 21.0ms (31.9% of total)ival-sub: 6.0ms (9.1% of total)ival-add: 6.0ms (9.1% of total)adjust: 5.0ms (7.6% of total)ival-tanh: 4.0ms (6.1% of total)ival-neg: 1.0ms (1.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x) (patch (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x) #<representation binary64>) () ()) |
#s(alt (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (patch (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) #<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 (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z (-.f64 t x)))) (patch #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z (-.f64 t x)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z (-.f64 t x))) (patch #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z (-.f64 t x))) #<representation binary64>) () ()) |
#s(alt (*.f64 z (-.f64 t x)) (patch (*.f64 z (-.f64 t x)) #<representation binary64>) () ()) |
#s(alt (-.f64 t x) (patch (-.f64 t x) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x))) (-.f64 t x)) (patch (/.f64 (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x))) (-.f64 t x)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x))) (-.f64 t x)))) (patch #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x))) (-.f64 t x)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x))) (-.f64 t x))) (patch #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x))) (-.f64 t x))) #<representation binary64>) () ()) |
#s(alt (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x))) (patch (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x))) (patch (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x))) #<representation binary64>) () ()) |
#s(alt (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x)))))) (patch (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x)))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x))))) (patch (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x))))) #<representation binary64>) () ()) |
#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 (*.f64 t t) (*.f64 x (neg.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 t x))) (patch (-.f64 (/.f64 (*.f64 t t) (*.f64 x (neg.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 t x))) #<representation binary64>) () ()) |
#s(alt (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (-.f64 (/.f64 (*.f64 t t) (*.f64 x (neg.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 t x))) x))) x) (patch (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (-.f64 (/.f64 (*.f64 t t) (*.f64 x (neg.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 t x))) x))) x) #<representation binary64>) () ()) |
#s(alt #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (-.f64 (/.f64 (*.f64 t t) (*.f64 x (neg.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 t x))) x))) x)) (patch #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (-.f64 (/.f64 (*.f64 t t) (*.f64 x (neg.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 t x))) x))) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (-.f64 (/.f64 (*.f64 t t) (*.f64 x (neg.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 t x))) x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (-.f64 (/.f64 (*.f64 t t) (*.f64 x (neg.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 t x))) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (tanh (/ x y)) (/.f64 x y)) (patch #s(approx (tanh (/ x y)) (/.f64 x y)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x)))) (patch #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x)))) #<representation binary64>) () ()) |
#s(alt (*.f64 y (+.f64 t x)) (patch (*.f64 y (+.f64 t x)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (-.f64 (/.f64 (*.f64 t t) (*.f64 x (neg.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 t x))) x)) (patch #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (-.f64 (/.f64 (*.f64 t t) (*.f64 x (neg.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 t x))) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 t t) (*.f64 x (neg.f64 x))) (patch (/.f64 (*.f64 t t) (*.f64 x (neg.f64 x))) #<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 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x) (patch (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 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 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x) (patch (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 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 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x) (patch (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 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 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x) (patch (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x) #<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 (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x) (patch (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x) #<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 (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x) (patch (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x) #<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 (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x) (patch (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x) #<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 (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x) (patch (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x) #<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 (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x) (patch (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x) #<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 (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x) (patch (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x) #<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 (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x) (patch (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x) #<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 (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x) (patch (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x) #<representation binary64>) () ())) ()) |
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216 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | t | @ | inf | (/ t y) |
| 2.0ms | t | @ | inf | (* y (+ t x)) |
| 1.0ms | t | @ | 0 | (/ (* t t) (* x (neg x))) |
| 1.0ms | x | @ | 0 | (/ (* t t) (* x (neg x))) |
| 1.0ms | t | @ | inf | (/ (* t t) (* x (neg x))) |
| 1× | egg-herbie |
| 7 074× | lower-fma.f64 |
| 7 074× | lower-fma.f32 |
| 5 740× | lower-*.f64 |
| 5 740× | lower-*.f32 |
| 4 430× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1035 | 31403 |
| 1 | 3510 | 27975 |
| 0 | 8429 | 27067 |
| 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))))))))) |
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x |
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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 (* (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 (* (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))))))) |
(/ (- t x) y) |
(/ (- (+ t (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y))) (+ x (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)))) y) |
(/ (- (+ t (+ (* 1/2 (/ (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3)))) (pow y 2))) (+ (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y)) (* 1/2 (/ (pow x 3) (pow y 2)))))) (+ x (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3)))) (pow y 2))) (+ (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)) (* 1/2 (/ (pow t 3) (pow y 2))))))) y) |
(/ (- (+ t (+ (* -1/2 (/ (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (pow y 3))) (+ (* 1/4 (/ (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/6 (pow t 3)))))) (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (* 1/12 (pow t 4))))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3)))) (pow y 2))) (+ (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y)) (* 1/2 (/ (pow x 3) (pow y 2))))))))) (+ x (+ (* -1/2 (/ (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (* -1/2 (pow t 3)))) (pow y 3))) (+ (* 1/4 (/ (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3)))) (pow y 2))) (+ (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)) (* 1/2 (/ (pow t 3) (pow y 2)))))))))) y) |
(* -1 (/ (- (* -1 t) (* -1 x)) y)) |
(* -1 (/ (- (+ (* -1 t) (* -1 (/ (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) (* -1 x)) y)) |
(* -1 (/ (- (+ (* -1 t) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (pow x 3)) (* 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)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))) y)) (* 1/2 (+ (* -1 (pow t 2)) (pow t 2)))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) (* -1 x)) y)) |
(* -1 (/ (- (+ (* -1 t) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* 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))))))) (* 1/2 (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (+ (* 1/12 (pow t 4)) (* t (+ (* -1/6 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))))))))) (+ (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2)))) (+ (* 1/2 (* t (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))) (* 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)))))))))))))) y)) (+ (* -1/2 (pow x 3)) (* 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)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))) y)) (* 1/2 (+ (* -1 (pow t 2)) (pow t 2)))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) (* -1 x)) y)) |
(- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))) |
(- (+ (* -1 (/ x y)) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))) |
(- (+ (* x (- (* 1/3 (/ (pow x 2) (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 (- (* (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))))))) |
(- (+ (/ 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 (* (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))))))) |
(* y (+ t x)) |
(* y (+ t x)) |
(* y (+ t x)) |
(* y (+ t x)) |
(* y (+ t x)) |
(* y (+ t x)) |
(* y (+ t x)) |
(* y (+ t x)) |
(* y (+ t x)) |
(* y (+ t x)) |
(* y (+ t x)) |
(* y (+ t x)) |
(* x y) |
(+ (* t y) (* x y)) |
(+ (* t y) (* x y)) |
(+ (* t y) (* x y)) |
(* t y) |
(* t (+ y (/ (* x y) t))) |
(* t (+ y (/ (* x y) t))) |
(* t (+ y (/ (* x y) t))) |
(* t y) |
(* -1 (* t (+ (* -1 y) (* -1 (/ (* x y) t))))) |
(* -1 (* t (+ (* -1 y) (* -1 (/ (* x y) t))))) |
(* -1 (* t (+ (* -1 y) (* -1 (/ (* x y) t))))) |
(* t y) |
(+ (* t y) (* x y)) |
(+ (* t y) (* x y)) |
(+ (* t y) (* x y)) |
(* x y) |
(* x (+ y (/ (* t y) x))) |
(* x (+ y (/ (* t y) x))) |
(* x (+ y (/ (* t y) x))) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (* t y) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (* t y) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (* t y) x))))) |
(/ -1 x) |
(- (* -1 (/ t (pow x 2))) (/ 1 x)) |
(- (* t (- (* -1 (/ t (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)) |
(- (* t (- (* t (- (* -1 (/ t (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)) |
(/ 1 t) |
(/ (+ 1 (/ x t)) t) |
(/ (- (+ 1 (/ (pow x 2) (pow t 2))) (* -1 (/ x t))) t) |
(/ (- (+ 1 (/ (pow x 3) (pow t 3))) (+ (* -1 (/ x t)) (* -1 (/ (pow x 2) (pow t 2))))) t) |
(/ 1 t) |
(* -1 (/ (- (* -1 (/ x t)) 1) t)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow x 2) t) (* -1 x)) t)) 1) t)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) t)) (pow x 2)) t)) (* -1 x)) t)) 1) t)) |
(/ 1 t) |
(+ (/ 1 t) (/ x (pow t 2))) |
(+ (* x (+ (/ 1 (pow t 2)) (/ x (pow t 3)))) (/ 1 t)) |
(+ (* x (+ (* x (+ (/ 1 (pow t 3)) (/ x (pow t 4)))) (/ 1 (pow t 2)))) (/ 1 t)) |
(/ -1 x) |
(/ (- (* -1 (/ t x)) 1) x) |
(/ (- (* -1 (/ (pow t 2) (pow x 2))) (+ 1 (/ t x))) x) |
(/ (- (* -1 (/ (pow t 3) (pow x 3))) (+ 1 (+ (/ t x) (/ (pow t 2) (pow x 2))))) x) |
(/ -1 x) |
(* -1 (/ (+ 1 (/ t x)) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow t 2) x)) t) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow t 3) x) (* -1 (pow t 2))) x)) t) x))) x)) |
(* -1 (/ (pow t 2) (pow x 2))) |
(* -1 (/ (pow t 2) (pow x 2))) |
(* -1 (/ (pow t 2) (pow x 2))) |
(* -1 (/ (pow t 2) (pow x 2))) |
(* -1 (/ (pow t 2) (pow x 2))) |
(* -1 (/ (pow t 2) (pow x 2))) |
(* -1 (/ (pow t 2) (pow x 2))) |
(* -1 (/ (pow t 2) (pow x 2))) |
(* -1 (/ (pow t 2) (pow x 2))) |
(* -1 (/ (pow t 2) (pow x 2))) |
(* -1 (/ (pow t 2) (pow x 2))) |
(* -1 (/ (pow t 2) (pow x 2))) |
(* -1 (/ (pow t 2) (pow x 2))) |
(* -1 (/ (pow t 2) (pow x 2))) |
(* -1 (/ (pow t 2) (pow x 2))) |
(* -1 (/ (pow t 2) (pow x 2))) |
(* -1 (/ (pow t 2) (pow x 2))) |
(* -1 (/ (pow t 2) (pow x 2))) |
(* -1 (/ (pow t 2) (pow x 2))) |
(* -1 (/ (pow t 2) (pow x 2))) |
(* -1 (/ (pow t 2) (pow x 2))) |
(* -1 (/ (pow t 2) (pow x 2))) |
(* -1 (/ (pow t 2) (pow x 2))) |
(* -1 (/ (pow t 2) (pow x 2))) |
| 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 y z) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 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)))))))))) |
(+.f64 x (fma.f64 (*.f64 y z) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))))) (*.f64 z t))) |
(+ 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)))))))))) |
(+.f64 x (fma.f64 (*.f64 y z) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))))) (*.f64 t (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 z (*.f64 t t)) (*.f64 y y)) z)))) |
(+ 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)))))))))) |
(+.f64 x (fma.f64 (*.f64 y z) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))))) (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 #s(literal -1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 z (*.f64 t t))) (pow.f64 y #s(literal 4 binary64)))) z)))) |
(+ 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)))))))))) |
(fma.f64 (*.f64 y z) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y)))))))) 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)))))))))) |
(fma.f64 (*.f64 y z) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y)))))))) 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)))))))))) |
(fma.f64 (*.f64 y z) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y)))))))) 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)))))))))) |
(fma.f64 (*.f64 y z) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y)))))))) 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)))))))))) |
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(* -1 (/ (pow t 2) (pow x 2))) |
(/.f64 (*.f64 t t) (*.f64 x (neg.f64 x))) |
(* -1 (/ (pow t 2) (pow x 2))) |
(/.f64 (*.f64 t t) (*.f64 x (neg.f64 x))) |
(* -1 (/ (pow t 2) (pow x 2))) |
(/.f64 (*.f64 t t) (*.f64 x (neg.f64 x))) |
(* -1 (/ (pow t 2) (pow x 2))) |
(/.f64 (*.f64 t t) (*.f64 x (neg.f64 x))) |
(* -1 (/ (pow t 2) (pow x 2))) |
(/.f64 (*.f64 t t) (*.f64 x (neg.f64 x))) |
(* -1 (/ (pow t 2) (pow x 2))) |
(/.f64 (*.f64 t t) (*.f64 x (neg.f64 x))) |
(* -1 (/ (pow t 2) (pow x 2))) |
(/.f64 (*.f64 t t) (*.f64 x (neg.f64 x))) |
(* -1 (/ (pow t 2) (pow x 2))) |
(/.f64 (*.f64 t t) (*.f64 x (neg.f64 x))) |
(* -1 (/ (pow t 2) (pow x 2))) |
(/.f64 (*.f64 t t) (*.f64 x (neg.f64 x))) |
(* -1 (/ (pow t 2) (pow x 2))) |
(/.f64 (*.f64 t t) (*.f64 x (neg.f64 x))) |
(* -1 (/ (pow t 2) (pow x 2))) |
(/.f64 (*.f64 t t) (*.f64 x (neg.f64 x))) |
(* -1 (/ (pow t 2) (pow x 2))) |
(/.f64 (*.f64 t t) (*.f64 x (neg.f64 x))) |
(* -1 (/ (pow t 2) (pow x 2))) |
(/.f64 (*.f64 t t) (*.f64 x (neg.f64 x))) |
(* -1 (/ (pow t 2) (pow x 2))) |
(/.f64 (*.f64 t t) (*.f64 x (neg.f64 x))) |
(* -1 (/ (pow t 2) (pow x 2))) |
(/.f64 (*.f64 t t) (*.f64 x (neg.f64 x))) |
(* -1 (/ (pow t 2) (pow x 2))) |
(/.f64 (*.f64 t t) (*.f64 x (neg.f64 x))) |
(* -1 (/ (pow t 2) (pow x 2))) |
(/.f64 (*.f64 t t) (*.f64 x (neg.f64 x))) |
| 4 472× | lower-/.f32 |
| 4 456× | lower-/.f64 |
| 3 846× | lower-*.f32 |
| 3 828× | lower-*.f64 |
| 3 200× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 502 |
| 0 | 89 | 466 |
| 1 | 397 | 342 |
| 2 | 3499 | 342 |
| 0 | 8517 | 334 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x) |
(-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) |
(tanh.f64 (/.f64 t y)) |
(/.f64 t y) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z (-.f64 t x)))) |
#s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z (-.f64 t x))) |
(*.f64 z (-.f64 t x)) |
(-.f64 t x) |
(/.f64 (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x))) (-.f64 t x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x))) (-.f64 t x)))) |
#s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x))) (-.f64 t x))) |
(*.f64 z (*.f64 (-.f64 t x) (-.f64 t x))) |
(/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x)))))) |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x))))) |
(*.f64 y z) |
(-.f64 (/.f64 (*.f64 t t) (*.f64 x (neg.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 t x))) |
(fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (-.f64 (/.f64 (*.f64 t t) (*.f64 x (neg.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 t x))) x))) x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (-.f64 (/.f64 (*.f64 t t) (*.f64 x (neg.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 t x))) x))) x)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (-.f64 (/.f64 (*.f64 t t) (*.f64 x (neg.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 t x))) x))) |
#s(approx (tanh (/ x y)) (/.f64 x y)) |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x)))) |
(*.f64 y (+.f64 t x)) |
#s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (-.f64 (/.f64 (*.f64 t t) (*.f64 x (neg.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 t x))) x)) |
(/.f64 (*.f64 t t) (*.f64 x (neg.f64 x))) |
| Outputs |
|---|
(+.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z))) |
(+.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) x) |
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) (neg.f64 x)))) |
(fma.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) x) |
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x) |
(fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) x) |
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) x) |
(fma.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) z x) |
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) z) y x) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z))) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64))) (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z))) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64))) (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x x))))) |
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z))) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 (*.f64 y z) x))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) (neg.f64 x))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z))) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 (*.f64 y z) x)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) (neg.f64 x)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64))) (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z))) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) (neg.f64 x))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z))))) |
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z))) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64))) (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x x))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z))) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) (neg.f64 x)))) |
(+.f64 (tanh.f64 (/.f64 t y)) (neg.f64 #s(approx (tanh (/ x y)) (/.f64 x y)))) |
(+.f64 (neg.f64 #s(approx (tanh (/ x y)) (/.f64 x y))) (tanh.f64 (/.f64 t y))) |
(-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) |
(-.f64 (/.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (fma.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)))) (/.f64 (*.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (*.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) (fma.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (+.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) (/.f64 (*.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (+.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) |
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))) (neg.f64 #s(approx (tanh (/ x y)) (/.f64 x y)))) |
(fma.f64 (expm1.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64))))) (neg.f64 #s(approx (tanh (/ x y)) (/.f64 x y)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal -2 binary64))))) (neg.f64 #s(approx (tanh (/ x y)) (/.f64 x y)))) |
(fma.f64 #s(literal -1 binary64) #s(approx (tanh (/ x y)) (/.f64 x y)) (tanh.f64 (/.f64 t y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64))) (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (*.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (*.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(approx (tanh (/ x y)) (/.f64 x y))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (*.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(approx (tanh (/ x y)) (/.f64 x y)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64))) (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (*.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (*.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(approx (tanh (/ x y)) (/.f64 x y)))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (*.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(approx (tanh (/ x y)) (/.f64 x y))))))) |
(/.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (*.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (*.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) (fma.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (*.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (*.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) (+.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 (tanh.f64 (/.f64 t y)) (neg.f64 #s(approx (tanh (/ x y)) (/.f64 x y))))))) |
(/.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (*.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) (+.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) |
(/.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (*.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) (-.f64 (tanh.f64 (/.f64 t y)) (neg.f64 #s(approx (tanh (/ x y)) (/.f64 x y))))) |
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(/.f64 (neg.f64 (*.f64 (/.f64 t x) t)) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 t t)))) (*.f64 x x)) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 t t) x))) (neg.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 (neg.f64 (*.f64 t (/.f64 t (neg.f64 x)))) (neg.f64 x)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 t (neg.f64 x)))) (neg.f64 (/.f64 x t))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 t) (/.f64 t (neg.f64 x)))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (/.f64 (*.f64 t t) (neg.f64 x))) (neg.f64 x)) |
(/.f64 (neg.f64 (/.f64 (/.f64 (*.f64 t t) x) #s(literal -1 binary64))) (neg.f64 x)) |
(pow.f64 (/.f64 (*.f64 x x) (neg.f64 (*.f64 t t))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 x x) (neg.f64 (*.f64 t t))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (neg.f64 x) (/.f64 (*.f64 t t) x)) #s(literal -1 binary64)) |
(*.f64 t (/.f64 t (*.f64 x (neg.f64 x)))) |
(*.f64 t (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 t (neg.f64 x)))) |
(*.f64 (*.f64 t t) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) (*.f64 x (neg.f64 x)))) |
(*.f64 (/.f64 t x) (/.f64 t (neg.f64 x))) |
(*.f64 (neg.f64 (*.f64 t t)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 (/.f64 t (neg.f64 x)) (/.f64 t x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (neg.f64 x) (*.f64 t t)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 t t)) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 t t)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 t t) x) (/.f64 #s(literal 1 binary64) (neg.f64 x))) |
(*.f64 (/.f64 t (*.f64 x (neg.f64 x))) t) |
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 (*.f64 t t) x)) |
Compiled 55 043 to 3 239 computations (94.1% saved)
44 alts after pruning (38 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 636 | 13 | 1 649 |
| Fresh | 7 | 25 | 32 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 646 | 44 | 1 690 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 71.0% | (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x) |
| ✓ | 99.2% | (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) |
| ✓ | 74.9% | (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) |
| 45.0% | (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (*.f64 x (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) y))))) y) z x) | |
| 65.7% | (fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) | |
| 63.8% | (+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))) | |
| 28.7% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y))))) | |
| 32.5% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 y (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y))))) | |
| 20.9% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) #s(approx (* y (+ t x)) (*.f64 y t)))))) | |
| 49.7% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))) | |
| 51.7% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x)))))) | |
| 51.6% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))))) | |
| 54.2% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))))) | |
| 58.6% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (*.f64 x x) t) x) (neg.f64 t)) #s(literal -1 binary64)) (neg.f64 t)))) x)) | |
| 44.9% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 x x) (*.f64 t t)) (/.f64 x t))) t))) x)) | |
| 58.9% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 t (neg.f64 x))) x))) x)) | |
| 29.2% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 #s(approx (- (/ (* t t) (* x (neg x))) (+ 1 (/ t x))) (/.f64 (*.f64 t t) (*.f64 x (neg.f64 x)))) x))) x)) | |
| 60.8% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 #s(approx (- (/ (* t t) (* x (neg x))) (+ 1 (/ t x))) (+.f64 (/.f64 (-.f64 (/.f64 (*.f64 t (neg.f64 t)) x) t) x) #s(literal -1 binary64))) x))) x)) | |
| 56.3% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 #s(literal 1 binary64) t))) x)) | |
| ✓ | 60.7% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)) |
| 33.5% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (fma.f64 t (*.f64 t t) (*.f64 x (*.f64 x x)))) (fma.f64 t t (*.f64 x (-.f64 x t)))) x)) | |
| 57.3% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (/ 1 (/ (+ t x) (* (+ t x) (- t x)))) (neg.f64 x)) x)) | |
| 17.8% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) (/.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 z (-.f64 t x) x)) (*.f64 (fma.f64 z (-.f64 t x) x) (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x)))))) (*.f64 (fma.f64 z (-.f64 t x) x) (fma.f64 z (-.f64 t x) x))))) | |
| 24.2% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (*.f64 x x) #s(approx (* z (* (- t x) (* z (- t x)))) (fma.f64 (*.f64 x x) (*.f64 z z) (*.f64 (*.f64 #s(literal -2 binary64) t) (*.f64 x (*.f64 z z)))))) (-.f64 x (*.f64 z (-.f64 t x))))) | |
| 24.9% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(approx (- (* x x) (* z (* (- t x) (* z (- t x))))) (*.f64 (*.f64 x x) (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 t (*.f64 z z)) x) #s(literal 1 binary64)) (*.f64 z z)))) (-.f64 x (*.f64 z (-.f64 t x))))) | |
| 25.2% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(approx (- (* x x) (* z (* (- t x) (* z (- t x))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 z z)))) (-.f64 x (*.f64 z (-.f64 t x))))) | |
| 24.9% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (fma.f64 t (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 x (*.f64 z z)) (fma.f64 x z x)) (*.f64 z (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 z z))) (*.f64 (fma.f64 x z x) (fma.f64 x z x))))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 z z))) (fma.f64 x z x))))) | |
| 30.6% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 z z))) (fma.f64 x z x)))) | |
| 13.6% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 (*.f64 z (*.f64 (-.f64 t x) #s(approx (- t x) (neg.f64 x)))) (-.f64 t x)))) | |
| 55.4% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z z))) (+.f64 z #s(literal 1 binary64))))) | |
| 11.4% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 #s(approx (* z (* (- t x) (- t x))) (fma.f64 z (*.f64 x x) (*.f64 (*.f64 #s(literal -2 binary64) t) (*.f64 x z)))) (-.f64 t x)))) | |
| 13.5% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 #s(approx (* z (* (- t x) (- t x))) (fma.f64 z (*.f64 t t) (*.f64 (*.f64 #s(literal -2 binary64) t) (*.f64 x z)))) (-.f64 t x)))) | |
| 13.3% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 #s(approx (* z (* (- t x) (- t x))) (*.f64 z (*.f64 x x))) (-.f64 t x)))) | |
| 13.7% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 #s(approx (* z (* (- t x) (- t x))) (*.f64 z (*.f64 t t))) (-.f64 t x)))) | |
| 26.6% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 t x)))))) | |
| 26.6% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 (*.f64 z (-.f64 t x)) (*.f64 (-.f64 t x) (/.f64 #s(literal 1 binary64) (-.f64 t x)))))) | |
| ✓ | 26.6% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z (-.f64 t x)))) |
| 14.7% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z #s(approx (- t x) (neg.f64 x))))) | |
| 23.9% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) #s(approx (/ (* z (* (- t x) (- t x))) (- t x)) (*.f64 t (-.f64 z (/.f64 (*.f64 x z) t)))))) | |
| 13.8% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (- (+ (* z (- t x)) x) (/ (+ (* (+ (* x (* (* x x) -1/2)) (+ (* t (* (* t t) 1/3)) (* x (* (* x x) 1/6)))) (/ z y)) 0) y)) (*.f64 (-.f64 (/.f64 z (*.f64 x x)) (fma.f64 (/.f64 z (*.f64 y y)) #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 x (*.f64 x (neg.f64 x)))))) | |
| 13.2% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 (neg.f64 t) (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 t (fma.f64 x (neg.f64 z) (neg.f64 x)))) (*.f64 (+.f64 #s(literal 0 binary64) z) (fma.f64 (*.f64 x x) (*.f64 z z) (neg.f64 (*.f64 x x))))) (*.f64 (+.f64 #s(literal 0 binary64) z) (*.f64 t (fma.f64 x (neg.f64 z) (neg.f64 x)))))))) | |
| 45.6% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 (neg.f64 t) #s(approx (- (neg z) (/ (+ (* x (neg z)) x) t)) (/.f64 x (neg.f64 t)))))) | |
| ✓ | 16.9% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) |
| 26.1% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) #s(approx (* (neg t) (- (neg z) (/ (+ (* x (neg z)) x) t))) (*.f64 (*.f64 z t) (-.f64 #s(literal 1 binary64) (/.f64 x t)))))) |
Compiled 2 294 to 810 computations (64.7% saved)
| Inputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z #s(approx (- t x) (neg.f64 x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (neg.f64 x)) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (/ 1 (/ (+ t x) (* (+ t x) (- t x)))) (neg.f64 x)) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 (neg.f64 t) #s(approx (- (neg z) (/ (+ (* x (neg z)) x) t)) (/.f64 x (neg.f64 t)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) #s(approx (* (neg t) (- (neg z) (/ (+ (* x (neg z)) x) t))) (*.f64 (*.f64 z t) (-.f64 #s(literal 1 binary64) (/.f64 x t)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) #s(approx (/ (* z (* (- t x) (- t x))) (- t x)) (*.f64 t (-.f64 z (/.f64 (*.f64 x z) t)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 #s(approx (* z (* (- t x) (- t x))) (*.f64 z (*.f64 t t))) (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 #s(approx (* z (* (- t x) (- t x))) (*.f64 z (*.f64 x x))) (-.f64 t x)))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 (neg.f64 t) #s(approx (- (neg z) (/ (+ (* x (neg z)) x) t)) (/.f64 (fma.f64 x z (neg.f64 x)) t))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z z))) (+.f64 z #s(literal 1 binary64))))) |
(+.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))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 #s(literal 1 binary64) t))) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 (*.f64 z (*.f64 (-.f64 t x) #s(approx (- t x) (neg.f64 x)))) (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 t x)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x))) (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 (neg.f64 t) (-.f64 (neg.f64 z) (/.f64 (fma.f64 x (neg.f64 z) x) t))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 t x) x)))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) #s(approx (* (neg t) (- (neg z) (/ (+ (* x (neg z)) x) t))) (*.f64 t (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 z t))))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 (*.f64 z (-.f64 t x)) (*.f64 (-.f64 t x) (/.f64 #s(literal 1 binary64) (-.f64 t x)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (- (+ (* z (- t x)) x) (/ (+ (* (+ (* x (* (* x x) -1/2)) (+ (* t (* (* t t) 1/3)) (* x (* (* x x) 1/6)))) (/ z y)) 0) y)) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 z (*.f64 x (*.f64 x x)))) (*.f64 y y)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 t x))) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 t x)) (-.f64 t x)) (+.f64 t x)) x)) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 #s(approx (* z (* (- t x) (- t x))) (fma.f64 z (*.f64 t t) (*.f64 (*.f64 #s(literal -2 binary64) t) (*.f64 x z)))) (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 #s(approx (* z (* (- t x) (- t x))) (fma.f64 z (*.f64 x x) (*.f64 (*.f64 #s(literal -2 binary64) t) (*.f64 x z)))) (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 z z))) (fma.f64 x z x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(approx (- (* x x) (* z (* (- t x) (* z (- t x))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 z z)))) (-.f64 x (*.f64 z (-.f64 t x))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) #s(approx (* y (+ t x)) (*.f64 y t)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 t x) (*.f64 (+.f64 t x) (-.f64 t x)))) x)) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 t (neg.f64 x))) x))) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (-.f64 (fma.f64 z (-.f64 t x) x) #s(approx (/ (+ (* (+ (* x (* (* x x) -1/2)) (+ (* t (* (* t t) 1/3)) (* x (* (* x x) 1/6)))) (/ z y)) 0) y) (/.f64 (*.f64 z (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))) (*.f64 y y))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 t (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y t)))))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) (-.f64 x (*.f64 z (-.f64 t x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 #s(approx (- (/ (* t t) (* x (neg x))) (+ 1 (/ t x))) (/.f64 (*.f64 t t) (*.f64 x (neg.f64 x)))) x))) x)) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 y (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 #s(approx (- (/ (* t t) (* x (neg x))) (+ 1 (/ t x))) (+.f64 (/.f64 (-.f64 (/.f64 (*.f64 t (neg.f64 t)) x) t) x) #s(literal -1 binary64))) x))) x)) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 #s(approx (/ (/ (+ (* x (* (* x x) -1/2)) (+ (* t (* (* t t) 1/3)) (* x (* (* x x) 1/6)))) y) y) (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y))) (-.f64 x t)) (neg.f64 y))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 x x) t) x) t)) #s(literal -1 binary64)) (neg.f64 t)))) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (*.f64 x x) t) x) (neg.f64 t)) #s(literal -1 binary64)) (neg.f64 t)))) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 t (neg.f64 t)) x) t) x)) (neg.f64 x)))) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (*.f64 x x) #s(approx (* z (* (- t x) (* z (- t x)))) (fma.f64 (*.f64 x x) (*.f64 z z) (*.f64 (*.f64 #s(literal -2 binary64) t) (*.f64 x (*.f64 z z)))))) (-.f64 x (*.f64 z (-.f64 t x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 x x) (*.f64 t t)) (/.f64 x t))) t))) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(approx (- (* x x) (* z (* (- t x) (* z (- t x))))) (*.f64 (*.f64 x x) (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 t (*.f64 z z)) x) #s(literal 1 binary64)) (*.f64 z z)))) (-.f64 x (*.f64 z (-.f64 t x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (fma.f64 t (*.f64 t t) (*.f64 x (*.f64 x x)))) (fma.f64 t t (*.f64 x (-.f64 x t)))) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (-.f64 (/.f64 (*.f64 t t) (*.f64 x (neg.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 t x))) x))) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (- (+ (* z (- t x)) x) (/ (+ (* (+ (* x (* (* x x) -1/2)) (+ (* t (* (* t t) 1/3)) (* x (* (* x x) 1/6)))) (/ z y)) 0) y)) (*.f64 (-.f64 (/.f64 z (*.f64 x x)) (fma.f64 (/.f64 z (*.f64 y y)) #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 x (*.f64 x (neg.f64 x)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (fma.f64 t (+.f64 (/.f64 t (*.f64 x (*.f64 x (neg.f64 x)))) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) x)))) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (-.f64 (fma.f64 z (-.f64 t x) x) (/.f64 (fma.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) (/.f64 z y) #s(literal 0 binary64)) y))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 (/.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) y) y) (-.f64 x t)) (neg.f64 y))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 (neg.f64 t) (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 t (fma.f64 x (neg.f64 z) (neg.f64 x)))) (*.f64 (+.f64 #s(literal 0 binary64) z) (fma.f64 (*.f64 x x) (*.f64 z z) (neg.f64 (*.f64 x x))))) (*.f64 (+.f64 #s(literal 0 binary64) z) (*.f64 t (fma.f64 x (neg.f64 z) (neg.f64 x)))))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) (/.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 z (-.f64 t x) x)) (*.f64 (fma.f64 z (-.f64 t x) x) (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x)))))) (*.f64 (fma.f64 z (-.f64 t x) x) (fma.f64 z (-.f64 t x) x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (fma.f64 t (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 x (*.f64 z z)) (fma.f64 x z x)) (*.f64 z (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 z z))) (*.f64 (fma.f64 x z x) (fma.f64 x z x))))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 z z))) (fma.f64 x z x))))) |
(fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) 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 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (*.f64 x (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) y))))) y) z x) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 t t) (*.f64 t #s(literal 1/3 binary64))) (*.f64 y y)) t) (neg.f64 y))) (tanh.f64 (/.f64 x y))))) |
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z 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:
| 23.0ms | t |
| 21.0ms | z |
| 21.0ms | x |
| 21.0ms | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 18.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 1 | x |
| 99.2% | 1 | y |
| 99.2% | 1 | z |
| 99.2% | 1 | t |
| 99.2% | 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 (+ (* z (- t x)) x) (*.f64 z t))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z #s(approx (- t x) (neg.f64 x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (neg.f64 x)) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (/ 1 (/ (+ t x) (* (+ t x) (- t x)))) (neg.f64 x)) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 (neg.f64 t) #s(approx (- (neg z) (/ (+ (* x (neg z)) x) t)) (/.f64 x (neg.f64 t)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) #s(approx (* (neg t) (- (neg z) (/ (+ (* x (neg z)) x) t))) (*.f64 (*.f64 z t) (-.f64 #s(literal 1 binary64) (/.f64 x t)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) #s(approx (/ (* z (* (- t x) (- t x))) (- t x)) (*.f64 t (-.f64 z (/.f64 (*.f64 x z) t)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 #s(approx (* z (* (- t x) (- t x))) (*.f64 z (*.f64 t t))) (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 #s(approx (* z (* (- t x) (- t x))) (*.f64 z (*.f64 x x))) (-.f64 t x)))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 (neg.f64 t) #s(approx (- (neg z) (/ (+ (* x (neg z)) x) t)) (/.f64 (fma.f64 x z (neg.f64 x)) t))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z z))) (+.f64 z #s(literal 1 binary64))))) |
(+.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))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 #s(literal 1 binary64) t))) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 (*.f64 z (*.f64 (-.f64 t x) #s(approx (- t x) (neg.f64 x)))) (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 t x)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x))) (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 (neg.f64 t) (-.f64 (neg.f64 z) (/.f64 (fma.f64 x (neg.f64 z) x) t))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 t x) x)))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) #s(approx (* (neg t) (- (neg z) (/ (+ (* x (neg z)) x) t))) (*.f64 t (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 z t))))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 (*.f64 z (-.f64 t x)) (*.f64 (-.f64 t x) (/.f64 #s(literal 1 binary64) (-.f64 t x)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (- (+ (* z (- t x)) x) (/ (+ (* (+ (* x (* (* x x) -1/2)) (+ (* t (* (* t t) 1/3)) (* x (* (* x x) 1/6)))) (/ z y)) 0) y)) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 z (*.f64 x (*.f64 x x)))) (*.f64 y y)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 t x))) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 t x)) (-.f64 t x)) (+.f64 t x)) x)) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 #s(approx (* z (* (- t x) (- t x))) (fma.f64 z (*.f64 t t) (*.f64 (*.f64 #s(literal -2 binary64) t) (*.f64 x z)))) (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 #s(approx (* z (* (- t x) (- t x))) (fma.f64 z (*.f64 x x) (*.f64 (*.f64 #s(literal -2 binary64) t) (*.f64 x z)))) (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 z z))) (fma.f64 x z x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(approx (- (* x x) (* z (* (- t x) (* z (- t x))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 z z)))) (-.f64 x (*.f64 z (-.f64 t x))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) #s(approx (* y (+ t x)) (*.f64 y t)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 t x) (*.f64 (+.f64 t x) (-.f64 t x)))) x)) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 t (neg.f64 x))) x))) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (-.f64 (fma.f64 z (-.f64 t x) x) #s(approx (/ (+ (* (+ (* x (* (* x x) -1/2)) (+ (* t (* (* t t) 1/3)) (* x (* (* x x) 1/6)))) (/ z y)) 0) y) (/.f64 (*.f64 z (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))) (*.f64 y y))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 t (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y t)))))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) (-.f64 x (*.f64 z (-.f64 t x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 #s(approx (- (/ (* t t) (* x (neg x))) (+ 1 (/ t x))) (/.f64 (*.f64 t t) (*.f64 x (neg.f64 x)))) x))) x)) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 y (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 #s(approx (- (/ (* t t) (* x (neg x))) (+ 1 (/ t x))) (+.f64 (/.f64 (-.f64 (/.f64 (*.f64 t (neg.f64 t)) x) t) x) #s(literal -1 binary64))) x))) x)) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 #s(approx (/ (/ (+ (* x (* (* x x) -1/2)) (+ (* t (* (* t t) 1/3)) (* x (* (* x x) 1/6)))) y) y) (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y))) (-.f64 x t)) (neg.f64 y))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 x x) t) x) t)) #s(literal -1 binary64)) (neg.f64 t)))) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (*.f64 x x) t) x) (neg.f64 t)) #s(literal -1 binary64)) (neg.f64 t)))) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 t (neg.f64 t)) x) t) x)) (neg.f64 x)))) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (*.f64 x x) #s(approx (* z (* (- t x) (* z (- t x)))) (fma.f64 (*.f64 x x) (*.f64 z z) (*.f64 (*.f64 #s(literal -2 binary64) t) (*.f64 x (*.f64 z z)))))) (-.f64 x (*.f64 z (-.f64 t x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 x x) (*.f64 t t)) (/.f64 x t))) t))) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(approx (- (* x x) (* z (* (- t x) (* z (- t x))))) (*.f64 (*.f64 x x) (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 t (*.f64 z z)) x) #s(literal 1 binary64)) (*.f64 z z)))) (-.f64 x (*.f64 z (-.f64 t x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (fma.f64 t (*.f64 t t) (*.f64 x (*.f64 x x)))) (fma.f64 t t (*.f64 x (-.f64 x t)))) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (-.f64 (/.f64 (*.f64 t t) (*.f64 x (neg.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 t x))) x))) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (- (+ (* z (- t x)) x) (/ (+ (* (+ (* x (* (* x x) -1/2)) (+ (* t (* (* t t) 1/3)) (* x (* (* x x) 1/6)))) (/ z y)) 0) y)) (*.f64 (-.f64 (/.f64 z (*.f64 x x)) (fma.f64 (/.f64 z (*.f64 y y)) #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 x (*.f64 x (neg.f64 x)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (fma.f64 t (+.f64 (/.f64 t (*.f64 x (*.f64 x (neg.f64 x)))) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) x)))) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (-.f64 (fma.f64 z (-.f64 t x) x) (/.f64 (fma.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) (/.f64 z y) #s(literal 0 binary64)) y))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 (/.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) y) y) (-.f64 x t)) (neg.f64 y))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 (neg.f64 t) (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 t (fma.f64 x (neg.f64 z) (neg.f64 x)))) (*.f64 (+.f64 #s(literal 0 binary64) z) (fma.f64 (*.f64 x x) (*.f64 z z) (neg.f64 (*.f64 x x))))) (*.f64 (+.f64 #s(literal 0 binary64) z) (*.f64 t (fma.f64 x (neg.f64 z) (neg.f64 x)))))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) (/.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 z (-.f64 t x) x)) (*.f64 (fma.f64 z (-.f64 t x) x) (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x)))))) (*.f64 (fma.f64 z (-.f64 t x) x) (fma.f64 z (-.f64 t x) x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (fma.f64 t (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 x (*.f64 z z)) (fma.f64 x z x)) (*.f64 z (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 z z))) (*.f64 (fma.f64 x z x) (fma.f64 x z x))))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 z z))) (fma.f64 x z x))))) |
(fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) 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 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (*.f64 x (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) y))))) y) z x) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 t t) (*.f64 t #s(literal 1/3 binary64))) (*.f64 y y)) t) (neg.f64 y))) (tanh.f64 (/.f64 x y))))) |
| Outputs |
|---|
(fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) |
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 #s(approx (- (/ (* t t) (* x (neg x))) (+ 1 (/ t x))) (+.f64 (/.f64 (-.f64 (/.f64 (*.f64 t (neg.f64 t)) x) t) x) #s(literal -1 binary64))) x))) x)) |
5 calls:
| 21.0ms | t |
| 20.0ms | x |
| 20.0ms | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 20.0ms | y |
| 19.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.3% | 3 | x |
| 80.8% | 2 | y |
| 74.9% | 1 | z |
| 84.0% | 3 | t |
| 81.8% | 4 | (+.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 (+ (* z (- t x)) x) (*.f64 z t))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z #s(approx (- t x) (neg.f64 x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (neg.f64 x)) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (/ 1 (/ (+ t x) (* (+ t x) (- t x)))) (neg.f64 x)) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 (neg.f64 t) #s(approx (- (neg z) (/ (+ (* x (neg z)) x) t)) (/.f64 x (neg.f64 t)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) #s(approx (* (neg t) (- (neg z) (/ (+ (* x (neg z)) x) t))) (*.f64 (*.f64 z t) (-.f64 #s(literal 1 binary64) (/.f64 x t)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) #s(approx (/ (* z (* (- t x) (- t x))) (- t x)) (*.f64 t (-.f64 z (/.f64 (*.f64 x z) t)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 #s(approx (* z (* (- t x) (- t x))) (*.f64 z (*.f64 t t))) (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 #s(approx (* z (* (- t x) (- t x))) (*.f64 z (*.f64 x x))) (-.f64 t x)))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 (neg.f64 t) #s(approx (- (neg z) (/ (+ (* x (neg z)) x) t)) (/.f64 (fma.f64 x z (neg.f64 x)) t))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z z))) (+.f64 z #s(literal 1 binary64))))) |
(+.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))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 #s(literal 1 binary64) t))) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 (*.f64 z (*.f64 (-.f64 t x) #s(approx (- t x) (neg.f64 x)))) (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 t x)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x))) (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 (neg.f64 t) (-.f64 (neg.f64 z) (/.f64 (fma.f64 x (neg.f64 z) x) t))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 t x) x)))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) #s(approx (* (neg t) (- (neg z) (/ (+ (* x (neg z)) x) t))) (*.f64 t (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 z t))))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 (*.f64 z (-.f64 t x)) (*.f64 (-.f64 t x) (/.f64 #s(literal 1 binary64) (-.f64 t x)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (- (+ (* z (- t x)) x) (/ (+ (* (+ (* x (* (* x x) -1/2)) (+ (* t (* (* t t) 1/3)) (* x (* (* x x) 1/6)))) (/ z y)) 0) y)) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 z (*.f64 x (*.f64 x x)))) (*.f64 y y)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 t x))) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 t x)) (-.f64 t x)) (+.f64 t x)) x)) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 #s(approx (* z (* (- t x) (- t x))) (fma.f64 z (*.f64 t t) (*.f64 (*.f64 #s(literal -2 binary64) t) (*.f64 x z)))) (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 #s(approx (* z (* (- t x) (- t x))) (fma.f64 z (*.f64 x x) (*.f64 (*.f64 #s(literal -2 binary64) t) (*.f64 x z)))) (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 z z))) (fma.f64 x z x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(approx (- (* x x) (* z (* (- t x) (* z (- t x))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 z z)))) (-.f64 x (*.f64 z (-.f64 t x))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) #s(approx (* y (+ t x)) (*.f64 y t)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 t x) (*.f64 (+.f64 t x) (-.f64 t x)))) x)) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 t (neg.f64 x))) x))) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (-.f64 (fma.f64 z (-.f64 t x) x) #s(approx (/ (+ (* (+ (* x (* (* x x) -1/2)) (+ (* t (* (* t t) 1/3)) (* x (* (* x x) 1/6)))) (/ z y)) 0) y) (/.f64 (*.f64 z (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))) (*.f64 y y))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 t (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y t)))))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) (-.f64 x (*.f64 z (-.f64 t x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 #s(approx (- (/ (* t t) (* x (neg x))) (+ 1 (/ t x))) (/.f64 (*.f64 t t) (*.f64 x (neg.f64 x)))) x))) x)) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 y (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 #s(approx (- (/ (* t t) (* x (neg x))) (+ 1 (/ t x))) (+.f64 (/.f64 (-.f64 (/.f64 (*.f64 t (neg.f64 t)) x) t) x) #s(literal -1 binary64))) x))) x)) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 #s(approx (/ (/ (+ (* x (* (* x x) -1/2)) (+ (* t (* (* t t) 1/3)) (* x (* (* x x) 1/6)))) y) y) (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y))) (-.f64 x t)) (neg.f64 y))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 x x) t) x) t)) #s(literal -1 binary64)) (neg.f64 t)))) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (*.f64 x x) t) x) (neg.f64 t)) #s(literal -1 binary64)) (neg.f64 t)))) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 t (neg.f64 t)) x) t) x)) (neg.f64 x)))) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (*.f64 x x) #s(approx (* z (* (- t x) (* z (- t x)))) (fma.f64 (*.f64 x x) (*.f64 z z) (*.f64 (*.f64 #s(literal -2 binary64) t) (*.f64 x (*.f64 z z)))))) (-.f64 x (*.f64 z (-.f64 t x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 x x) (*.f64 t t)) (/.f64 x t))) t))) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(approx (- (* x x) (* z (* (- t x) (* z (- t x))))) (*.f64 (*.f64 x x) (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 t (*.f64 z z)) x) #s(literal 1 binary64)) (*.f64 z z)))) (-.f64 x (*.f64 z (-.f64 t x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (fma.f64 t (*.f64 t t) (*.f64 x (*.f64 x x)))) (fma.f64 t t (*.f64 x (-.f64 x t)))) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (-.f64 (/.f64 (*.f64 t t) (*.f64 x (neg.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 t x))) x))) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (- (+ (* z (- t x)) x) (/ (+ (* (+ (* x (* (* x x) -1/2)) (+ (* t (* (* t t) 1/3)) (* x (* (* x x) 1/6)))) (/ z y)) 0) y)) (*.f64 (-.f64 (/.f64 z (*.f64 x x)) (fma.f64 (/.f64 z (*.f64 y y)) #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 x (*.f64 x (neg.f64 x)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (fma.f64 t (+.f64 (/.f64 t (*.f64 x (*.f64 x (neg.f64 x)))) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) x)))) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (-.f64 (fma.f64 z (-.f64 t x) x) (/.f64 (fma.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) (/.f64 z y) #s(literal 0 binary64)) y))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 (/.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) y) y) (-.f64 x t)) (neg.f64 y))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 (neg.f64 t) (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 t (fma.f64 x (neg.f64 z) (neg.f64 x)))) (*.f64 (+.f64 #s(literal 0 binary64) z) (fma.f64 (*.f64 x x) (*.f64 z z) (neg.f64 (*.f64 x x))))) (*.f64 (+.f64 #s(literal 0 binary64) z) (*.f64 t (fma.f64 x (neg.f64 z) (neg.f64 x)))))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) (/.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 z (-.f64 t x) x)) (*.f64 (fma.f64 z (-.f64 t x) x) (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x)))))) (*.f64 (fma.f64 z (-.f64 t x) x) (fma.f64 z (-.f64 t x) x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (fma.f64 t (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 x (*.f64 z z)) (fma.f64 x z x)) (*.f64 z (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 z z))) (*.f64 (fma.f64 x z x) (fma.f64 x z x))))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 z z))) (fma.f64 x z x))))) |
(fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) |
| Outputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 #s(approx (- (/ (* t t) (* x (neg x))) (+ 1 (/ t x))) (+.f64 (/.f64 (-.f64 (/.f64 (*.f64 t (neg.f64 t)) x) t) x) #s(literal -1 binary64))) x))) x)) |
(fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) |
5 calls:
| 76.0ms | z |
| 19.0ms | x |
| 18.0ms | t |
| 18.0ms | y |
| 16.0ms | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.6% | 3 | z |
| 75.2% | 4 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 74.5% | 2 | y |
| 73.8% | 3 | t |
| 67.3% | 2 | x |
Compiled 39 to 28 computations (28.2% saved)
| Inputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z #s(approx (- t x) (neg.f64 x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (neg.f64 x)) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (/ 1 (/ (+ t x) (* (+ t x) (- t x)))) (neg.f64 x)) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 (neg.f64 t) #s(approx (- (neg z) (/ (+ (* x (neg z)) x) t)) (/.f64 x (neg.f64 t)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) #s(approx (* (neg t) (- (neg z) (/ (+ (* x (neg z)) x) t))) (*.f64 (*.f64 z t) (-.f64 #s(literal 1 binary64) (/.f64 x t)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) #s(approx (/ (* z (* (- t x) (- t x))) (- t x)) (*.f64 t (-.f64 z (/.f64 (*.f64 x z) t)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 #s(approx (* z (* (- t x) (- t x))) (*.f64 z (*.f64 t t))) (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 #s(approx (* z (* (- t x) (- t x))) (*.f64 z (*.f64 x x))) (-.f64 t x)))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 (neg.f64 t) #s(approx (- (neg z) (/ (+ (* x (neg z)) x) t)) (/.f64 (fma.f64 x z (neg.f64 x)) t))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z z))) (+.f64 z #s(literal 1 binary64))))) |
(+.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))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 #s(literal 1 binary64) t))) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 (*.f64 z (*.f64 (-.f64 t x) #s(approx (- t x) (neg.f64 x)))) (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 t x)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x))) (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 (neg.f64 t) (-.f64 (neg.f64 z) (/.f64 (fma.f64 x (neg.f64 z) x) t))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 t x) x)))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) #s(approx (* (neg t) (- (neg z) (/ (+ (* x (neg z)) x) t))) (*.f64 t (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 z t))))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 (*.f64 z (-.f64 t x)) (*.f64 (-.f64 t x) (/.f64 #s(literal 1 binary64) (-.f64 t x)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (- (+ (* z (- t x)) x) (/ (+ (* (+ (* x (* (* x x) -1/2)) (+ (* t (* (* t t) 1/3)) (* x (* (* x x) 1/6)))) (/ z y)) 0) y)) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 z (*.f64 x (*.f64 x x)))) (*.f64 y y)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 t x))) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 t x)) (-.f64 t x)) (+.f64 t x)) x)) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 #s(approx (* z (* (- t x) (- t x))) (fma.f64 z (*.f64 t t) (*.f64 (*.f64 #s(literal -2 binary64) t) (*.f64 x z)))) (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 #s(approx (* z (* (- t x) (- t x))) (fma.f64 z (*.f64 x x) (*.f64 (*.f64 #s(literal -2 binary64) t) (*.f64 x z)))) (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 z z))) (fma.f64 x z x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(approx (- (* x x) (* z (* (- t x) (* z (- t x))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 z z)))) (-.f64 x (*.f64 z (-.f64 t x))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) #s(approx (* y (+ t x)) (*.f64 y t)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 t x) (*.f64 (+.f64 t x) (-.f64 t x)))) x)) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 t (neg.f64 x))) x))) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (-.f64 (fma.f64 z (-.f64 t x) x) #s(approx (/ (+ (* (+ (* x (* (* x x) -1/2)) (+ (* t (* (* t t) 1/3)) (* x (* (* x x) 1/6)))) (/ z y)) 0) y) (/.f64 (*.f64 z (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))) (*.f64 y y))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 t (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y t)))))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) (-.f64 x (*.f64 z (-.f64 t x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 #s(approx (- (/ (* t t) (* x (neg x))) (+ 1 (/ t x))) (/.f64 (*.f64 t t) (*.f64 x (neg.f64 x)))) x))) x)) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 y (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 #s(approx (- (/ (* t t) (* x (neg x))) (+ 1 (/ t x))) (+.f64 (/.f64 (-.f64 (/.f64 (*.f64 t (neg.f64 t)) x) t) x) #s(literal -1 binary64))) x))) x)) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 #s(approx (/ (/ (+ (* x (* (* x x) -1/2)) (+ (* t (* (* t t) 1/3)) (* x (* (* x x) 1/6)))) y) y) (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y))) (-.f64 x t)) (neg.f64 y))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 x x) t) x) t)) #s(literal -1 binary64)) (neg.f64 t)))) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (*.f64 x x) t) x) (neg.f64 t)) #s(literal -1 binary64)) (neg.f64 t)))) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 t (neg.f64 t)) x) t) x)) (neg.f64 x)))) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (*.f64 x x) #s(approx (* z (* (- t x) (* z (- t x)))) (fma.f64 (*.f64 x x) (*.f64 z z) (*.f64 (*.f64 #s(literal -2 binary64) t) (*.f64 x (*.f64 z z)))))) (-.f64 x (*.f64 z (-.f64 t x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 x x) (*.f64 t t)) (/.f64 x t))) t))) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(approx (- (* x x) (* z (* (- t x) (* z (- t x))))) (*.f64 (*.f64 x x) (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 t (*.f64 z z)) x) #s(literal 1 binary64)) (*.f64 z z)))) (-.f64 x (*.f64 z (-.f64 t x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (fma.f64 t (*.f64 t t) (*.f64 x (*.f64 x x)))) (fma.f64 t t (*.f64 x (-.f64 x t)))) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (-.f64 (/.f64 (*.f64 t t) (*.f64 x (neg.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 t x))) x))) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (- (+ (* z (- t x)) x) (/ (+ (* (+ (* x (* (* x x) -1/2)) (+ (* t (* (* t t) 1/3)) (* x (* (* x x) 1/6)))) (/ z y)) 0) y)) (*.f64 (-.f64 (/.f64 z (*.f64 x x)) (fma.f64 (/.f64 z (*.f64 y y)) #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 x (*.f64 x (neg.f64 x)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (fma.f64 t (+.f64 (/.f64 t (*.f64 x (*.f64 x (neg.f64 x)))) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) x)))) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (-.f64 (fma.f64 z (-.f64 t x) x) (/.f64 (fma.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) (/.f64 z y) #s(literal 0 binary64)) y))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 (/.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) y) y) (-.f64 x t)) (neg.f64 y))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 (neg.f64 t) (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 t (fma.f64 x (neg.f64 z) (neg.f64 x)))) (*.f64 (+.f64 #s(literal 0 binary64) z) (fma.f64 (*.f64 x x) (*.f64 z z) (neg.f64 (*.f64 x x))))) (*.f64 (+.f64 #s(literal 0 binary64) z) (*.f64 t (fma.f64 x (neg.f64 z) (neg.f64 x)))))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) (/.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 z (-.f64 t x) x)) (*.f64 (fma.f64 z (-.f64 t x) x) (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x)))))) (*.f64 (fma.f64 z (-.f64 t x) x) (fma.f64 z (-.f64 t x) x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (fma.f64 t (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 x (*.f64 z z)) (fma.f64 x z x)) (*.f64 z (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 z z))) (*.f64 (fma.f64 x z x) (fma.f64 x z x))))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 z z))) (fma.f64 x z x))))) |
| Outputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 #s(approx (- (/ (* t t) (* x (neg x))) (+ 1 (/ t x))) (+.f64 (/.f64 (-.f64 (/.f64 (*.f64 t (neg.f64 t)) x) t) x) #s(literal -1 binary64))) x))) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)) |
2 calls:
| 19.0ms | z |
| 16.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.3% | 3 | z |
| 72.3% | 2 | y |
Compiled 10 to 8 computations (20% saved)
| Inputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z #s(approx (- t x) (neg.f64 x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (neg.f64 x)) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (/ 1 (/ (+ t x) (* (+ t x) (- t x)))) (neg.f64 x)) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 (neg.f64 t) #s(approx (- (neg z) (/ (+ (* x (neg z)) x) t)) (/.f64 x (neg.f64 t)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) #s(approx (* (neg t) (- (neg z) (/ (+ (* x (neg z)) x) t))) (*.f64 (*.f64 z t) (-.f64 #s(literal 1 binary64) (/.f64 x t)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) #s(approx (/ (* z (* (- t x) (- t x))) (- t x)) (*.f64 t (-.f64 z (/.f64 (*.f64 x z) t)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 #s(approx (* z (* (- t x) (- t x))) (*.f64 z (*.f64 t t))) (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 #s(approx (* z (* (- t x) (- t x))) (*.f64 z (*.f64 x x))) (-.f64 t x)))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 (neg.f64 t) #s(approx (- (neg z) (/ (+ (* x (neg z)) x) t)) (/.f64 (fma.f64 x z (neg.f64 x)) t))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z z))) (+.f64 z #s(literal 1 binary64))))) |
(+.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))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 #s(literal 1 binary64) t))) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 (*.f64 z (*.f64 (-.f64 t x) #s(approx (- t x) (neg.f64 x)))) (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 t x)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x))) (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 (neg.f64 t) (-.f64 (neg.f64 z) (/.f64 (fma.f64 x (neg.f64 z) x) t))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 t x) x)))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) #s(approx (* (neg t) (- (neg z) (/ (+ (* x (neg z)) x) t))) (*.f64 t (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 z t))))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 (*.f64 z (-.f64 t x)) (*.f64 (-.f64 t x) (/.f64 #s(literal 1 binary64) (-.f64 t x)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (- (+ (* z (- t x)) x) (/ (+ (* (+ (* x (* (* x x) -1/2)) (+ (* t (* (* t t) 1/3)) (* x (* (* x x) 1/6)))) (/ z y)) 0) y)) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 z (*.f64 x (*.f64 x x)))) (*.f64 y y)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 t x))) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 t x)) (-.f64 t x)) (+.f64 t x)) x)) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 #s(approx (* z (* (- t x) (- t x))) (fma.f64 z (*.f64 t t) (*.f64 (*.f64 #s(literal -2 binary64) t) (*.f64 x z)))) (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 #s(approx (* z (* (- t x) (- t x))) (fma.f64 z (*.f64 x x) (*.f64 (*.f64 #s(literal -2 binary64) t) (*.f64 x z)))) (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 z z))) (fma.f64 x z x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(approx (- (* x x) (* z (* (- t x) (* z (- t x))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 z z)))) (-.f64 x (*.f64 z (-.f64 t x))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) #s(approx (* y (+ t x)) (*.f64 y t)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 t x) (*.f64 (+.f64 t x) (-.f64 t x)))) x)) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 t (neg.f64 x))) x))) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (-.f64 (fma.f64 z (-.f64 t x) x) #s(approx (/ (+ (* (+ (* x (* (* x x) -1/2)) (+ (* t (* (* t t) 1/3)) (* x (* (* x x) 1/6)))) (/ z y)) 0) y) (/.f64 (*.f64 z (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))) (*.f64 y y))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 t (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y t)))))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) (-.f64 x (*.f64 z (-.f64 t x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 #s(approx (- (/ (* t t) (* x (neg x))) (+ 1 (/ t x))) (/.f64 (*.f64 t t) (*.f64 x (neg.f64 x)))) x))) x)) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 y (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y))))) |
| Outputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 t (neg.f64 x))) x))) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)) |
3 calls:
| 14.0ms | t |
| 12.0ms | y |
| 12.0ms | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.4% | 4 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 64.3% | 2 | t |
| 71.0% | 2 | y |
Compiled 29 to 20 computations (31% saved)
| Inputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z #s(approx (- t x) (neg.f64 x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (neg.f64 x)) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (/ 1 (/ (+ t x) (* (+ t x) (- t x)))) (neg.f64 x)) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 (neg.f64 t) #s(approx (- (neg z) (/ (+ (* x (neg z)) x) t)) (/.f64 x (neg.f64 t)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) #s(approx (* (neg t) (- (neg z) (/ (+ (* x (neg z)) x) t))) (*.f64 (*.f64 z t) (-.f64 #s(literal 1 binary64) (/.f64 x t)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) #s(approx (/ (* z (* (- t x) (- t x))) (- t x)) (*.f64 t (-.f64 z (/.f64 (*.f64 x z) t)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 #s(approx (* z (* (- t x) (- t x))) (*.f64 z (*.f64 t t))) (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 #s(approx (* z (* (- t x) (- t x))) (*.f64 z (*.f64 x x))) (-.f64 t x)))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 (neg.f64 t) #s(approx (- (neg z) (/ (+ (* x (neg z)) x) t)) (/.f64 (fma.f64 x z (neg.f64 x)) t))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z z))) (+.f64 z #s(literal 1 binary64))))) |
(+.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))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 #s(literal 1 binary64) t))) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 (*.f64 z (*.f64 (-.f64 t x) #s(approx (- t x) (neg.f64 x)))) (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 t x)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x))) (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 (neg.f64 t) (-.f64 (neg.f64 z) (/.f64 (fma.f64 x (neg.f64 z) x) t))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 t x) x)))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) #s(approx (* (neg t) (- (neg z) (/ (+ (* x (neg z)) x) t))) (*.f64 t (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 z t))))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 (*.f64 z (-.f64 t x)) (*.f64 (-.f64 t x) (/.f64 #s(literal 1 binary64) (-.f64 t x)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (- (+ (* z (- t x)) x) (/ (+ (* (+ (* x (* (* x x) -1/2)) (+ (* t (* (* t t) 1/3)) (* x (* (* x x) 1/6)))) (/ z y)) 0) y)) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 z (*.f64 x (*.f64 x x)))) (*.f64 y y)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 t x))) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 t x)) (-.f64 t x)) (+.f64 t x)) x)) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 #s(approx (* z (* (- t x) (- t x))) (fma.f64 z (*.f64 t t) (*.f64 (*.f64 #s(literal -2 binary64) t) (*.f64 x z)))) (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 #s(approx (* z (* (- t x) (- t x))) (fma.f64 z (*.f64 x x) (*.f64 (*.f64 #s(literal -2 binary64) t) (*.f64 x z)))) (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 z z))) (fma.f64 x z x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(approx (- (* x x) (* z (* (- t x) (* z (- t x))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 z z)))) (-.f64 x (*.f64 z (-.f64 t x))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) #s(approx (* y (+ t x)) (*.f64 y t)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 t x) (*.f64 (+.f64 t x) (-.f64 t x)))) x)) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x)))))) |
| Outputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 (neg.f64 t) #s(approx (- (neg z) (/ (+ (* x (neg z)) x) t)) (/.f64 x (neg.f64 t)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)) |
1 calls:
| 11.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.5% | 2 | y |
Compiled 5 to 4 computations (20% saved)
| Inputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z #s(approx (- t x) (neg.f64 x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (neg.f64 x)) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (/ 1 (/ (+ t x) (* (+ t x) (- t x)))) (neg.f64 x)) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)) |
| Outputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (neg.f64 x)) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)) |
1 calls:
| 7.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.5% | 2 | y |
Compiled 5 to 4 computations (20% saved)
| Inputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z #s(approx (- t x) (neg.f64 x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (neg.f64 x)) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (/ 1 (/ (+ t x) (* (+ t x) (- t x)))) (neg.f64 x)) x)) |
| Outputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (neg.f64 x)) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))) |
4 calls:
| 3.0ms | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 3.0ms | y |
| 3.0ms | z |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.6% | 3 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 62.0% | 3 | x |
| 66.8% | 3 | z |
| 57.3% | 1 | y |
Compiled 34 to 24 computations (29.4% saved)
| Inputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z #s(approx (- t x) (neg.f64 x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z (-.f64 t x)))) |
| Outputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))) |
5 calls:
| 2.0ms | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 2.0ms | t |
| 2.0ms | x |
| 2.0ms | y |
| 2.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 26.6% | 1 | y |
| 26.6% | 1 | x |
| 26.6% | 1 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 26.6% | 1 | t |
| 26.6% | 1 | z |
Compiled 39 to 28 computations (28.2% saved)
| Inputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z #s(approx (- t x) (neg.f64 x))))) |
| Outputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z #s(approx (- t x) (neg.f64 x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z #s(approx (- t x) (neg.f64 x))))) |
5 calls:
| 62.0ms | 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 | z |
| 2.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 20.6% | 2 | y |
| 23.9% | 3 | x |
| 23.0% | 3 | t |
| 19.1% | 2 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 16.9% | 1 | z |
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 (+ (* z (- t x)) x) (*.f64 z t))) |
| Outputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) |
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 | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 16.9% | 1 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 16.9% | 1 | y |
| 16.9% | 1 | t |
| 16.9% | 1 | x |
Compiled 34 to 24 computations (29.4% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 40.0ms | 2.0892176337042857e+52 | 1.5973530935099134e+61 |
| 18.0ms | -3.5877608909448475e+137 | -1.7631106756246138e+124 |
| 21.0ms | 295× | 0 | valid |
| 2.0ms | 9× | 1 | valid |
Compiled 816 to 482 computations (40.9% saved)
ival-div: 4.0ms (27.1% of total)ival-mult: 4.0ms (27.1% of total)ival-tanh: 3.0ms (20.3% of total)ival-sub: 1.0ms (6.8% of total)ival-add: 1.0ms (6.8% 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 |
|---|---|---|
| 9.0ms | 2.8692543195351036e-109 | 8.395327455531495e-109 |
| 6.0ms | 77× | 0 | valid |
| 0.0ms | 3× | 1 | valid |
Compiled 252 to 154 computations (38.9% saved)
ival-div: 1.0ms (25.7% of total)ival-mult: 1.0ms (25.7% of total)ival-tanh: 1.0ms (25.7% of total)adjust: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 29.0ms | 16932720.460713223 | 2147147934736774.0 |
| 23.0ms | 142× | 0 | valid |
| 0.0ms | 2× | 1 | valid |
Compiled 373 to 226 computations (39.4% saved)
ival-mult: 15.0ms (74.9% of total)ival-div: 2.0ms (10% of total)ival-add: 1.0ms (5% of total)ival-sub: 1.0ms (5% of total)ival-tanh: 1.0ms (5% 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 |
|---|---|---|
| 1.0ms | 16932720.460713223 | 2147147934736774.0 |
Compiled 310 to 199 computations (35.8% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 5.0ms | 1.3052640748688832e-103 | 1.8057416993821405e-103 |
| 3.0ms | 46× | 0 | valid |
| 0.0ms | 2× | 1 | valid |
Compiled 103 to 64 computations (37.9% saved)
ival-div: 1.0ms (44.5% of total)ival-mult: 1.0ms (44.5% of total)adjust: 0.0ms (0% of total)ival-add: 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)ival-tanh: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 6.0ms | 16932720.460713223 | 2147147934736774.0 |
| 3.0ms | 47× | 0 | valid |
| 0.0ms | 1× | 1 | valid |
Compiled 238 to 145 computations (39.1% saved)
ival-div: 1.0ms (45.9% of total)ival-mult: 1.0ms (45.9% of total)adjust: 0.0ms (0% of total)ival-add: 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)ival-tanh: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 9.0ms | 1.2253322962849672e+39 | 4.690812526263485e+39 |
| 38.0ms | -1354376689733.9934 | -0.5293978204163171 |
| 17.0ms | 239× | 0 | valid |
| 0.0ms | 1× | 1 | valid |
Compiled 382 to 229 computations (40.1% saved)
ival-div: 3.0ms (26.7% of total)ival-mult: 3.0ms (26.7% of total)ival-tanh: 2.0ms (17.8% of total)ival-add: 1.0ms (8.9% of total)ival-sub: 1.0ms (8.9% 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 |
|---|---|---|
| 13.0ms | 5.450095433801921e-78 | 2.32008063183785e-76 |
| 17.0ms | -7.682259430107017e-105 | -8.332814809743097e-116 |
| 18.0ms | 256× | 0 | valid |
| 2.0ms | 16× | 1 | valid |
Compiled 396 to 240 computations (39.4% saved)
ival-div: 4.0ms (30.1% of total)ival-mult: 4.0ms (30.1% of total)ival-tanh: 3.0ms (22.6% 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)| 1× | egg-herbie |
| 42× | *-commutative_binary64 |
| 40× | +-commutative_binary64 |
| 34× | sub-neg_binary64 |
| 26× | neg-sub0_binary64 |
| 26× | neg-mul-1_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 124 | 757 |
| 1 | 156 | 756 |
| 2 | 186 | 756 |
| 3 | 212 | 756 |
| 4 | 230 | 753 |
| 5 | 238 | 753 |
| 6 | 241 | 753 |
| 7 | 242 | 753 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) |
(if (<=.f64 x #s(literal -22000000000000000977458448324536620172201027540423916812427426166274727591633334701343704991143445061876539476041369105989632 binary64)) (fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) (if (<=.f64 x #s(literal 135000000000000005655680576282141506300094309169892803215360 binary64)) (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 #s(approx (- (/ (* t t) (* x (neg x))) (+ 1 (/ t x))) (+.f64 (/.f64 (-.f64 (/.f64 (*.f64 t (neg.f64 t)) x) t) x) #s(literal -1 binary64))) x))) x)))) |
(if (<=.f64 y #s(literal 231369589076587/330527984395124299475957654016385519914202341482140609642324397637202895618155672912594605219857642423795606012511679152128 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 #s(approx (- (/ (* t t) (* x (neg x))) (+ 1 (/ t x))) (+.f64 (/.f64 (-.f64 (/.f64 (*.f64 t (neg.f64 t)) x) t) x) #s(literal -1 binary64))) x))) x)) (fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)) |
(if (<=.f64 y #s(literal 90000000 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 #s(approx (- (/ (* t t) (* x (neg x))) (+ 1 (/ t x))) (+.f64 (/.f64 (-.f64 (/.f64 (*.f64 t (neg.f64 t)) x) t) x) #s(literal -1 binary64))) x))) x)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x))) |
(if (<=.f64 y #s(literal 90000000 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 t (neg.f64 x))) x))) x)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x))) |
(if (<=.f64 y #s(literal 6859101238668351/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 (neg.f64 t) #s(approx (- (neg z) (/ (+ (* x (neg z)) x) t)) (/.f64 x (neg.f64 t)))))) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x))) |
(if (<=.f64 y #s(literal 66000000 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (neg.f64 x)) x)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x))) |
(if (<=.f64 z #s(literal -1050000000 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))) (if (<=.f64 z #s(literal 1250000000000000037973253553375458361344 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (neg.f64 x)) x)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))) |
(if (<=.f64 x #s(literal -6817139678149439/5164499756173817179311838344006023748659411585658447025661318713081295244033682389259290706560275662871806343945494986752 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z #s(approx (- t x) (neg.f64 x))))) (if (<=.f64 x #s(literal 2199998854441245/16296287810675888690147565507275025288411747149327490005089123594835050398106693649467179008 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z #s(approx (- t x) (neg.f64 x))))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) |
| Outputs |
|---|
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) |
(fma.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) z x) |
(if (<=.f64 x #s(literal -22000000000000000977458448324536620172201027540423916812427426166274727591633334701343704991143445061876539476041369105989632 binary64)) (fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) (if (<=.f64 x #s(literal 135000000000000005655680576282141506300094309169892803215360 binary64)) (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 #s(approx (- (/ (* t t) (* x (neg x))) (+ 1 (/ t x))) (+.f64 (/.f64 (-.f64 (/.f64 (*.f64 t (neg.f64 t)) x) t) x) #s(literal -1 binary64))) x))) x)))) |
(if (<=.f64 x #s(literal -22000000000000000977458448324536620172201027540423916812427426166274727591633334701343704991143445061876539476041369105989632 binary64)) (fma.f64 (*.f64 y (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) z x) (if (<=.f64 x #s(literal 135000000000000005655680576282141506300094309169892803215360 binary64)) (fma.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) z x) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 #s(approx (- (/ (* t t) (* x (neg x))) (+ 1 (/ t x))) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 t (/.f64 (*.f64 t t) x)) x))) x))) x)))) |
(if (<=.f64 y #s(literal 231369589076587/330527984395124299475957654016385519914202341482140609642324397637202895618155672912594605219857642423795606012511679152128 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 #s(approx (- (/ (* t t) (* x (neg x))) (+ 1 (/ t x))) (+.f64 (/.f64 (-.f64 (/.f64 (*.f64 t (neg.f64 t)) x) t) x) #s(literal -1 binary64))) x))) x)) (fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)) |
(if (<=.f64 y #s(literal 231369589076587/330527984395124299475957654016385519914202341482140609642324397637202895618155672912594605219857642423795606012511679152128 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 #s(approx (- (/ (* t t) (* x (neg x))) (+ 1 (/ t x))) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 t (/.f64 (*.f64 t t) x)) x))) x))) x)) (fma.f64 (*.f64 y (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) z x)) |
(if (<=.f64 y #s(literal 90000000 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 #s(approx (- (/ (* t t) (* x (neg x))) (+ 1 (/ t x))) (+.f64 (/.f64 (-.f64 (/.f64 (*.f64 t (neg.f64 t)) x) t) x) #s(literal -1 binary64))) x))) x)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x))) |
(if (<=.f64 y #s(literal 90000000 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 #s(approx (- (/ (* t t) (* x (neg x))) (+ 1 (/ t x))) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 t (/.f64 (*.f64 t t) x)) x))) x))) x)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x))) |
(if (<=.f64 y #s(literal 90000000 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 t (neg.f64 x))) x))) x)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x))) |
(if (<=.f64 y #s(literal 90000000 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) #s(approx (/ (+ t x) (* (+ t x) (- t x))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 t x)) x))) x)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x))) |
(if (<=.f64 y #s(literal 6859101238668351/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 (neg.f64 t) #s(approx (- (neg z) (/ (+ (* x (neg z)) x) t)) (/.f64 x (neg.f64 t)))))) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x))) |
(if (<=.f64 y #s(literal 66000000 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (neg.f64 x)) x)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x))) |
(if (<=.f64 z #s(literal -1050000000 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))) (if (<=.f64 z #s(literal 1250000000000000037973253553375458361344 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (neg.f64 x)) x)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))) |
(if (<=.f64 x #s(literal -6817139678149439/5164499756173817179311838344006023748659411585658447025661318713081295244033682389259290706560275662871806343945494986752 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z #s(approx (- t x) (neg.f64 x))))) (if (<=.f64 x #s(literal 2199998854441245/16296287810675888690147565507275025288411747149327490005089123594835050398106693649467179008 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z #s(approx (- t x) (neg.f64 x))))))) |
(if (<=.f64 x #s(literal -6817139678149439/5164499756173817179311838344006023748659411585658447025661318713081295244033682389259290706560275662871806343945494986752 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z #s(approx (- t x) (neg.f64 x))))) (if (<=.f64 x #s(literal 2199998854441245/16296287810675888690147565507275025288411747149327490005089123594835050398106693649467179008 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 t z))) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z #s(approx (- t x) (neg.f64 x))))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 t z))) |
| 11 446× | lower-fma.f64 |
| 11 446× | lower-fma.f32 |
| 9 934× | lower-fma.f64 |
| 9 934× | lower-fma.f32 |
| 8 122× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 924 | 35485 |
| 1 | 3076 | 31081 |
| 0 | 8601 | 30173 |
| 0 | 1035 | 31403 |
| 1 | 3510 | 27975 |
| 0 | 8429 | 27067 |
| 0 | 12 | 44 |
| 0 | 20 | 44 |
| 1 | 99 | 44 |
| 2 | 871 | 44 |
| 0 | 8208 | 43 |
| 0 | 439 | 9242 |
| 1 | 1484 | 6963 |
| 2 | 6159 | 6572 |
| 0 | 9215 | 6439 |
| 0 | 1176 | 27599 |
| 1 | 3954 | 24613 |
| 0 | 9561 | 23792 |
| 0 | 53 | 467 |
| 0 | 92 | 461 |
| 1 | 385 | 421 |
| 2 | 3616 | 421 |
| 0 | 9180 | 396 |
| 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× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 744 to 353 computations (52.6% saved)
(abs y)
Compiled 740 to 260 computations (64.9% saved)
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