
Time bar (total: 14.1s)
| 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)
| 1.0s | 8 039× | 0 | valid |
| 40.0ms | 217× | 1 | valid |
ival-mult: 151.0ms (32.7% of total)ival-div: 132.0ms (28.6% of total)ival-tanh: 85.0ms (18.4% of total)ival-add: 41.0ms (8.9% of total)ival-sub: 37.0ms (8% of total)ival-true: 7.0ms (1.5% of total)adjust: 4.0ms (0.9% of total)ival-assert: 4.0ms (0.9% 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)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 17 | 0 | - | 2 | (3.933584721013204e-109 9.780146795477905e+278 6.32205059318473e-36 -2.7035177942066316e-45) | (*.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 | 12 | 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 | 32 | |
| ↳ | (/.f64 t y) | underflow | 20 | |
| ↳ | (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) | underflow | 45 | |
| ↳ | (tanh.f64 (/.f64 x y)) | underflow | 19 | |
| ↳ | (/.f64 x y) | underflow | 19 | |
| ↳ | (tanh.f64 (/.f64 t y)) | underflow | 20 | |
-.f64 | (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) | cancellation | 1 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 14 | 1 |
| - | 0 | 241 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 14 | 0 | 1 |
| - | 0 | 0 | 241 |
| number | freq |
|---|---|
| 0 | 242 |
| 1 | 14 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 42.0ms | 428× | 0 | valid |
| 19.0ms | 76× | 2 | valid |
| 2.0ms | 8× | 1 | valid |
Compiled 158 to 52 computations (67.1% saved)
ival-div: 10.0ms (29.6% of total)ival-mult: 7.0ms (20.7% of total)ival-tanh: 7.0ms (20.7% of total)ival-sub: 3.0ms (8.9% of total)adjust: 3.0ms (8.9% of total)ival-add: 3.0ms (8.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)Compiled 4 to 4 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 94.5% | (+.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 | 100.0% | (tanh.f64 (/.f64 x y)) |
| ✓ | accuracy | 100.0% | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| ✓ | accuracy | 99.6% | (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
| ✓ | accuracy | 93.8% | (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
| 19.0ms | 214× | 0 | valid |
| 15.0ms | 38× | 2 | valid |
| 1.0ms | 4× | 1 | valid |
Compiled 60 to 14 computations (76.7% saved)
ival-tanh: 9.0ms (41% of total)ival-div: 5.0ms (22.8% of total)ival-mult: 4.0ms (18.2% of total)ival-sub: 2.0ms (9.1% of total)adjust: 1.0ms (4.6% of total)ival-add: 1.0ms (4.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (patch (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (patch (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #<representation binary64>) () ()) |
#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ()) |
#s(alt (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (patch (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) #<representation binary64>) () ()) |
#s(alt (tanh.f64 (/.f64 x y)) (patch (tanh.f64 (/.f64 x y)) #<representation binary64>) () ()) |
| 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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#s(alt (* -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)) (taylor -inf y) (#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>) () ())) ()) |
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#s(alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (taylor inf x) (#s(alt (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (patch (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) #<representation binary64>) () ())) ()) |
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#s(alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (taylor inf x) (#s(alt (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (patch (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (taylor -inf x) (#s(alt (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (patch (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (taylor -inf x) (#s(alt (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (patch (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) #<representation binary64>) () ())) ()) |
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#s(alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (taylor -inf x) (#s(alt (-.f64 (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 (/ x y) (taylor 0 x) (#s(alt (tanh.f64 (/.f64 x y)) (patch (tanh.f64 (/.f64 x y)) #<representation binary64>) () ())) ()) |
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#s(alt (* 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))) (taylor 0 x) (#s(alt (tanh.f64 (/.f64 x y)) (patch (tanh.f64 (/.f64 x y)) #<representation binary64>) () ())) ()) |
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#s(alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (taylor inf x) (#s(alt (tanh.f64 (/.f64 x y)) (patch (tanh.f64 (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (taylor inf x) (#s(alt (tanh.f64 (/.f64 x y)) (patch (tanh.f64 (/.f64 x y)) #<representation binary64>) () ())) ()) |
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#s(alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (taylor -inf x) (#s(alt (tanh.f64 (/.f64 x y)) (patch (tanh.f64 (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (taylor -inf x) (#s(alt (tanh.f64 (/.f64 x y)) (patch (tanh.f64 (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (taylor -inf x) (#s(alt (tanh.f64 (/.f64 x y)) (patch (tanh.f64 (/.f64 x y)) #<representation binary64>) () ())) ()) |
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#s(alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (taylor 0 y) (#s(alt (tanh.f64 (/.f64 x y)) (patch (tanh.f64 (/.f64 x y)) #<representation binary64>) () ())) ()) |
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#s(alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (taylor 0 y) (#s(alt (tanh.f64 (/.f64 x y)) (patch (tanh.f64 (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (taylor 0 y) (#s(alt (tanh.f64 (/.f64 x y)) (patch (tanh.f64 (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor inf y) (#s(alt (tanh.f64 (/.f64 x y)) (patch (tanh.f64 (/.f64 x y)) #<representation binary64>) () ())) ()) |
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#s(alt (/ (- (+ 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) (taylor inf y) (#s(alt (tanh.f64 (/.f64 x y)) (patch (tanh.f64 (/.f64 x y)) #<representation binary64>) () ())) ()) |
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#s(alt (/ x y) (taylor -inf y) (#s(alt (tanh.f64 (/.f64 x y)) (patch (tanh.f64 (/.f64 x y)) #<representation binary64>) () ())) ()) |
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#s(alt (* -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)) (taylor -inf y) (#s(alt (tanh.f64 (/.f64 x y)) (patch (tanh.f64 (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -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)) (taylor -inf y) (#s(alt (tanh.f64 (/.f64 x y)) (patch (tanh.f64 (/.f64 x y)) #<representation binary64>) () ())) ()) |
45 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | t | @ | -inf | (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) |
| 8.0ms | y | @ | 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))))) |
| 3.0ms | x | @ | inf | (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) |
| 1× | batch-egg-rewrite |
| 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 x 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) |
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(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))))) (neg.f64 (/.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))))))) |
(-.f64 (/.f64 (exp.f64 (/.f64 x y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (/.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y))))) |
(-.f64 (/.f64 (exp.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 #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) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))))) (/.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)))))) |
(fma.f64 (exp.f64 (/.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (neg.f64 (/.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))))) |
(fma.f64 (exp.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))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))))) (neg.f64 (/.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))))))) |
(neg.f64 (neg.f64 (tanh.f64 (/.f64 x y)))) |
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 x y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 x y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 x y))) #s(literal 1 binary64))) |
(/.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 x y) #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 x y))))) |
(/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 (/.f64 x y))) (*.f64 #s(literal -2 binary64) (cosh.f64 (/.f64 x y)))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64)))) (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))))) (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (/.f64 x y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y))) (exp.f64 (/.f64 (neg.f64 x) y)))) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y))) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (exp.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 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (+.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)))) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)))) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 (/.f64 x y)))) (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 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)))))) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (/.f64 x y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (/.f64 x y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (/.f64 (exp.f64 (/.f64 x y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (fma.f64 (/.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (/.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (*.f64 (/.f64 (exp.f64 (/.f64 x y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (/.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.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 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 (exp.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 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))))) (fma.f64 (/.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))))) (/.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))))) (/.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 (/.f64 x y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (/.f64 (exp.f64 (/.f64 x y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y))))) (*.f64 (/.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (/.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (/.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (exp.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 (exp.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) (+.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))))) (+.f64 (/.f64 (exp.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 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)))))) (*.f64 (/.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))))) (/.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))))) (/.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 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 #s(literal 1 binary64) (tanh.f64 (/.f64 x y))) |
(*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (/.f64 x y)) (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 x y) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 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 (neg.f64 (expm1.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))))))) |
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))))))) |
(tanh.f64 (/.f64 x y)) |
| 1× | egg-herbie |
| 10 022× | lower-fma.f64 |
| 10 022× | lower-fma.f32 |
| 3 896× | lower-*.f64 |
| 3 896× | lower-*.f32 |
| 3 590× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 447 | 9354 |
| 1 | 1515 | 7627 |
| 2 | 6277 | 7212 |
| 0 | 9374 | 7079 |
| 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))) |
(* 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 (* 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)))))))))) |
(+ 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))) |
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(/ (- 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) |
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(* -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)) |
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(- (/ (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))))))) |
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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))))))) |
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(/ x y) |
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(/ (- (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) |
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(/ (- (+ 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)) |
| Outputs |
|---|
(* 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))) (* 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)))))))))) |
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x |
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(+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 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 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 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 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 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 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 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 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))))))) |
(/ x y) |
(/.f64 x y) |
(* x (+ (* -1/3 (/ (pow x 2) (pow y 3))) (/ 1 y))) |
(fma.f64 x (/.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 y (*.f64 y y))) (/.f64 x y)) |
(* x (+ (* (pow x 2) (- (* 2/15 (/ (pow x 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) |
(fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (/.f64 #s(literal 2/15 binary64) (pow.f64 y #s(literal 5 binary64)))) (/.f64 #s(literal -1/3 binary64) (*.f64 y (*.f64 y y))))) (/.f64 x 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))) |
(fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 #s(literal -17/315 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 7 binary64))) (/.f64 #s(literal 2/15 binary64) (pow.f64 y #s(literal 5 binary64)))) (/.f64 #s(literal -1/3 binary64) (*.f64 y (*.f64 y y)))) (/.f64 x y)) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) |
(/ x y) |
(/.f64 x y) |
(/ (+ x (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) y) |
(/.f64 x 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) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y))) x) 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) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y)) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (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 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)))) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y))) x)) y) |
(/ x y) |
(/.f64 x y) |
(* -1 (/ (+ (* -1 x) (* -1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) y)) |
(/.f64 x 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)) |
(neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y)) x) 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)) |
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)) (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))))) y)) y) y) x) (neg.f64 y)) |
Compiled 20 269 to 1 580 computations (92.2% saved)
11 alts after pruning (11 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 431 | 11 | 442 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 432 | 11 | 443 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 98.4% | (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) |
| ▶ | 25.2% | (fma.f64 z (-.f64 t x) (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))))) (/.f64 z (*.f64 y y)) x)) |
| ▶ | 62.1% | (fma.f64 z (-.f64 t x) x) |
| 27.9% | (-.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 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)))) (/.f64 z y) #s(literal 0 binary64)) y)) | |
| ▶ | 50.2% | (+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 t x) y))) |
| 24.8% | (+.f64 x (*.f64 (*.f64 y z) (/.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 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)))) y) y) (-.f64 x t)) (neg.f64 y)))) | |
| 35.6% | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (fma.f64 x (/.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 y (*.f64 y y))) (/.f64 x y))))) | |
| 65.9% | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.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)))))) | |
| ▶ | 68.0% | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))) |
| 36.6% | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y)) x) y))))) | |
| 62.1% | (+.f64 x (*.f64 z (-.f64 t x))) |
Compiled 576 to 330 computations (42.7% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) |
| ✓ | cost-diff | 0 | (*.f64 y z) |
| ✓ | cost-diff | 128 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))) |
| ✓ | cost-diff | 384 | (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))))) (/.f64 z (*.f64 y y)) x) |
| ✓ | cost-diff | 0 | (-.f64 t x) |
| ✓ | cost-diff | 320 | (fma.f64 z (-.f64 t x) (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))))) (/.f64 z (*.f64 y y)) x)) |
| ✓ | cost-diff | 1536 | (-.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))))) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 t x) y) |
| ✓ | cost-diff | 0 | (*.f64 y z) |
| ✓ | cost-diff | 128 | (+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 t x) y))) |
| ✓ | cost-diff | 1024 | (*.f64 (*.f64 y z) (/.f64 (-.f64 t x) y)) |
| ✓ | cost-diff | 0 | (-.f64 t x) |
| ✓ | cost-diff | 0 | (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) |
| 12 694× | lower-fma.f32 |
| 12 682× | lower-fma.f64 |
| 4 258× | lower-*.f32 |
| 4 236× | lower-*.f64 |
| 2 602× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 339 |
| 0 | 69 | 300 |
| 1 | 160 | 300 |
| 2 | 401 | 300 |
| 3 | 1209 | 268 |
| 4 | 4751 | 264 |
| 0 | 8100 | 255 |
| 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 |
(fma.f64 z (-.f64 t x) x) |
z |
(-.f64 t x) |
t |
x |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 t x) y))) |
x |
(*.f64 (*.f64 y z) (/.f64 (-.f64 t x) y)) |
(*.f64 y z) |
y |
z |
(/.f64 (-.f64 t x) y) |
(-.f64 t x) |
t |
(fma.f64 z (-.f64 t x) (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))))) (/.f64 z (*.f64 y y)) x)) |
z |
(-.f64 t x) |
t |
x |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))))) (/.f64 z (*.f64 y y)) x) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))))) |
#s(literal 1/2 binary64) |
(-.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))))) |
(fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 t t) #s(literal 1/3 binary64)) |
(*.f64 t t) |
#s(literal 1/3 binary64) |
(*.f64 x (*.f64 x x)) |
(*.f64 x x) |
(fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) |
(/.f64 z (*.f64 y y)) |
(*.f64 y y) |
y |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))) |
x |
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))) |
(*.f64 y z) |
y |
z |
(-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) |
(tanh.f64 (/.f64 t y)) |
(/.f64 t y) |
t |
(/.f64 x y) |
| Outputs |
|---|
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) |
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) 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 |
(fma.f64 z (-.f64 t x) x) |
z |
(-.f64 t x) |
t |
x |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 t x) y))) |
(fma.f64 z (-.f64 t x) x) |
x |
(*.f64 (*.f64 y z) (/.f64 (-.f64 t x) y)) |
(*.f64 z (-.f64 t x)) |
(*.f64 y z) |
y |
z |
(/.f64 (-.f64 t x) y) |
(-.f64 t x) |
t |
(fma.f64 z (-.f64 t x) (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))))) (/.f64 z (*.f64 y y)) x)) |
(fma.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 t (*.f64 t (*.f64 t #s(literal -2/3 binary64))) (*.f64 x (*.f64 #s(literal 2/3 binary64) (*.f64 x x)))) (*.f64 y y)) (-.f64 t x)) x) |
z |
(-.f64 t x) |
t |
x |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))))) (/.f64 z (*.f64 y y)) x) |
(fma.f64 (*.f64 z #s(literal 1/2 binary64)) (/.f64 (fma.f64 t (*.f64 t (*.f64 t #s(literal -2/3 binary64))) (*.f64 x (*.f64 #s(literal 2/3 binary64) (*.f64 x x)))) (*.f64 y y)) x) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 t (*.f64 t (*.f64 t #s(literal -2/3 binary64))) (*.f64 x (*.f64 #s(literal 2/3 binary64) (*.f64 x x))))) |
#s(literal 1/2 binary64) |
(-.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))))) |
(fma.f64 t (*.f64 t (*.f64 t #s(literal -2/3 binary64))) (*.f64 x (*.f64 #s(literal 2/3 binary64) (*.f64 x x)))) |
(fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))) |
(fma.f64 t (*.f64 t (*.f64 t #s(literal 1/3 binary64))) (*.f64 x (*.f64 x x))) |
(*.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 x x)) |
(*.f64 x x) |
(fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) |
(/.f64 z (*.f64 y y)) |
(*.f64 y y) |
y |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))) |
(fma.f64 (tanh.f64 (/.f64 t y)) (*.f64 y z) (-.f64 x (*.f64 x z))) |
x |
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))) |
(fma.f64 (tanh.f64 (/.f64 t y)) (*.f64 y z) (*.f64 x (neg.f64 z))) |
(*.f64 y z) |
y |
z |
(-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) |
(tanh.f64 (/.f64 t y)) |
(/.f64 t y) |
t |
(/.f64 x y) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (tanh.f64 (/.f64 t y)) |
| ✓ | accuracy | 100.0% | (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) |
| ✓ | accuracy | 100.0% | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))) |
| ✓ | accuracy | 82.6% | (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))) |
| ✓ | accuracy | 95.5% | (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))) |
| ✓ | accuracy | 88.2% | (/.f64 z (*.f64 y y)) |
| ✓ | accuracy | 81.6% | (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))))) (/.f64 z (*.f64 y y)) x) |
| ✓ | accuracy | 49.8% | (-.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))))) |
| ✓ | accuracy | 100.0% | (*.f64 y z) |
| ✓ | accuracy | 100.0% | (+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 t x) y))) |
| ✓ | accuracy | 100.0% | (/.f64 (-.f64 t x) y) |
| ✓ | accuracy | 76.4% | (*.f64 (*.f64 y z) (/.f64 (-.f64 t x) y)) |
| ✓ | accuracy | 100.0% | (-.f64 t x) |
| ✓ | accuracy | 100.0% | (fma.f64 z (-.f64 t x) x) |
| ✓ | accuracy | 100.0% | (tanh.f64 (/.f64 x y)) |
| ✓ | accuracy | 100.0% | (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) |
| ✓ | accuracy | 99.6% | (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
| ✓ | accuracy | 97.4% | (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) |
| 77.0ms | 214× | 0 | valid |
| 55.0ms | 38× | 2 | valid |
| 3.0ms | 4× | 1 | valid |
Compiled 356 to 42 computations (88.2% saved)
ival-mult: 26.0ms (33.1% of total)ival-sub: 19.0ms (24.2% of total)ival-add: 10.0ms (12.7% of total)ival-div: 9.0ms (11.4% of total)adjust: 6.0ms (7.6% of total)ival-tanh: 4.0ms (5.1% of total)const: 4.0ms (5.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (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 (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 (*.f64 y z) (/.f64 (-.f64 t x) y)) (patch (*.f64 (*.f64 y z) (/.f64 (-.f64 t x) y)) #<representation binary64>) () ()) |
#s(alt (+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 t x) y))) (patch (+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 t x) y))) #<representation binary64>) () ()) |
#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 t x) y) (patch (/.f64 (-.f64 t x) y) #<representation binary64>) () ()) |
#s(alt (-.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))))) (patch (-.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))))) #<representation binary64>) () ()) |
#s(alt (fma.f64 z (-.f64 t x) (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))))) (/.f64 z (*.f64 y y)) x)) (patch (fma.f64 z (-.f64 t x) (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))))) (/.f64 z (*.f64 y y)) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))))) (/.f64 z (*.f64 y y)) x) (patch (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))))) (/.f64 z (*.f64 y y)) x) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))) (patch (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))) #<representation binary64>) () ()) |
#s(alt (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))) (patch (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))) #<representation binary64>) () ()) |
#s(alt (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (patch (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) #<representation binary64>) () ()) |
#s(alt (tanh.f64 (/.f64 x y)) (patch (tanh.f64 (/.f64 x y)) #<representation binary64>) () ()) |
#s(alt (/.f64 z (*.f64 y y)) (patch (/.f64 z (*.f64 y y)) #<representation binary64>) () ()) |
#s(alt (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))) (patch (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x 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 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) (patch (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor 0 t) (#s(alt (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) (patch (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor 0 t) (#s(alt (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) (patch (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) (taylor 0 t) (#s(alt (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) (patch (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) #<representation binary64>) () ())) ()) |
#s(alt (+ 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 (-.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 inf t) (#s(alt (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) (patch (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* 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 (-.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 inf t) (#s(alt (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) (patch (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* 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 (-.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 -inf t) (#s(alt (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) (patch (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* 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 (-.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 -inf t) (#s(alt (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) (patch (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) #<representation binary64>) () ())) ()) |
#s(alt x (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 (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (taylor -inf x) (#s(alt (tanh.f64 (/.f64 x y)) (patch (tanh.f64 (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (taylor -inf x) (#s(alt (tanh.f64 (/.f64 x y)) (patch (tanh.f64 (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (taylor -inf x) (#s(alt (tanh.f64 (/.f64 x y)) (patch (tanh.f64 (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (taylor -inf x) (#s(alt (tanh.f64 (/.f64 x y)) (patch (tanh.f64 (/.f64 x y)) #<representation binary64>) () ())) ()) |
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#s(alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (taylor 0 y) (#s(alt (tanh.f64 (/.f64 x y)) (patch (tanh.f64 (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (taylor 0 y) (#s(alt (tanh.f64 (/.f64 x y)) (patch (tanh.f64 (/.f64 x y)) #<representation binary64>) () ())) ()) |
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#s(alt (/ z (pow y 2)) (taylor 0 z) (#s(alt (/.f64 z (*.f64 y y)) (patch (/.f64 z (*.f64 y y)) #<representation binary64>) () ())) ()) |
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#s(alt (/ z (pow y 2)) (taylor -inf y) (#s(alt (/.f64 z (*.f64 y y)) (patch (/.f64 z (*.f64 y y)) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow x 3) (+ 1/3 (/ (pow t 3) (pow x 3)))) (taylor inf x) (#s(alt (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))) (patch (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ 1/3 (/ (pow t 3) (pow x 3)))) (taylor inf x) (#s(alt (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))) (patch (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))) #<representation binary64>) () ())) ()) |
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#s(alt (* 1/3 (pow x 3)) (taylor -inf x) (#s(alt (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))) (patch (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- (* -1 (/ (pow t 3) (pow x 3))) 1/3))) (taylor -inf x) (#s(alt (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))) (patch (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- (* -1 (/ (pow t 3) (pow x 3))) 1/3))) (taylor -inf x) (#s(alt (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))) (patch (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- (* -1 (/ (pow t 3) (pow x 3))) 1/3))) (taylor -inf x) (#s(alt (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))) (patch (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))) #<representation binary64>) () ())) ()) |
171 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | z | @ | 0 | (+ (* z (- t x)) (+ (* (* 1/2 (- (+ (* t (* (* t t) 1/3)) (* x (* x x))) (+ (* t (* t t)) (* 1/3 (* x (* x x)))))) (/ z (* y y))) x)) |
| 5.0ms | t | @ | -inf | (* (* y z) (/ (- t x) y)) |
| 3.0ms | z | @ | inf | (/ z (* y y)) |
| 3.0ms | x | @ | inf | (+ (* z (- t x)) (+ (* (* 1/2 (- (+ (* t (* (* t t) 1/3)) (* x (* x x))) (+ (* t (* t t)) (* 1/3 (* x (* x x)))))) (/ z (* y y))) x)) |
| 2.0ms | y | @ | inf | (+ x (* (* y z) (- (tanh (/ t y)) (/ x y)))) |
| 1× | batch-egg-rewrite |
| 4 590× | lower-/.f32 |
| 4 582× | lower-/.f64 |
| 3 738× | lower-*.f32 |
| 3 716× | lower-*.f64 |
| 3 266× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 228 |
| 0 | 69 | 207 |
| 1 | 312 | 207 |
| 2 | 3062 | 207 |
| 0 | 8693 | 198 |
| 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)) |
(fma.f64 z (-.f64 t x) x) |
(-.f64 t x) |
(*.f64 (*.f64 y z) (/.f64 (-.f64 t x) y)) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 t x) y))) |
(*.f64 y z) |
(/.f64 (-.f64 t x) y) |
(-.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))))) |
(fma.f64 z (-.f64 t x) (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))))) (/.f64 z (*.f64 y y)) x)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))))) (/.f64 z (*.f64 y y)) x) |
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))) |
(-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) |
(tanh.f64 (/.f64 x y)) |
(/.f64 z (*.f64 y y)) |
(fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))) |
| 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 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) x) |
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) 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 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x) |
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) 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 (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 (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))) (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)))) |
(/.f64 (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))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 (*.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)) (*.f64 x x)) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) (neg.f64 x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.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) (neg.f64 (/.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 (neg.f64 (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)))) (neg.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))))) |
(/.f64 (neg.f64 (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)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 (*.f64 y z) x)))))) |
(/.f64 (neg.f64 (-.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))) (neg.f64 (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) (neg.f64 x)))) |
(/.f64 (-.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))) (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.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)) (tanh.f64 (/.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)) (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)))))) |
(/.f64 (neg.f64 (neg.f64 (-.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)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.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)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z))))) |
(pow.f64 (/.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)))) #s(literal -1 binary64)) |
(pow.f64 (/.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))) #s(literal -1 binary64)) |
(*.f64 (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) (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))))) |
(*.f64 (-.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) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) (neg.f64 x)))) |
(+.f64 (*.f64 y (tanh.f64 (/.f64 t y))) (*.f64 y (neg.f64 (tanh.f64 (/.f64 x y))))) |
(+.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) |
(fma.f64 y (tanh.f64 (/.f64 t y)) (*.f64 y (neg.f64 (tanh.f64 (/.f64 x y))))) |
(fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) |
(/.f64 (*.f64 y (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 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)))) |
(/.f64 (*.f64 y (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 2 binary64)))) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
(/.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))) y) (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 (*.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 2 binary64))) y) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
(/.f64 (neg.f64 (*.f64 y (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64))))) (neg.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 (neg.f64 (*.f64 y (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 2 binary64))))) (neg.f64 (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(/.f64 (neg.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))) y)) (neg.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 (neg.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))) y)) (neg.f64 (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) |
(+.f64 (tanh.f64 (/.f64 t y)) (neg.f64 (tanh.f64 (/.f64 x y)))) |
(+.f64 (neg.f64 (tanh.f64 (/.f64 x y))) (tanh.f64 (/.f64 t y))) |
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
(-.f64 (/.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 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)))) (/.f64 (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 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))))) |
(-.f64 (/.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (/.f64 (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 2 binary64)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y))))) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 x y)))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))))) |
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y))) (+.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) (+.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64)))) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) (expm1.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) (+.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))))) |
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)))))) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))))))) |
(-.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y))))) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 x y)))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))))) |
(-.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 (/.f64 t 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 t y) #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64)))) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64)))) (expm1.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))))) |
(-.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)))))) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))))))) |
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal -2 binary64)))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal -2 binary64)))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y))))) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal -2 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 x y)))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal -2 binary64)))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))))) |
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(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))))) (/.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)))))) |
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 x y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) |
(/.f64 #s(literal 1 binary64) (/.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) (/.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))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)))))) |
(/.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 x y) #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))))) |
(/.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)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 x y)))) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y))))) |
(/.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 x y) #s(literal -2 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)))))) |
(/.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))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))))))) |
(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 x y) #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))))) #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 x y) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)))))) |
(tanh.f64 (/.f64 x y)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 y y) z)) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 y y))) (/.f64 z (neg.f64 (*.f64 y y)))) |
(neg.f64 (/.f64 z (neg.f64 (*.f64 y y)))) |
(neg.f64 (/.f64 (neg.f64 z) (*.f64 y y))) |
(/.f64 z (*.f64 y y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 y y) z) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 z y))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 y y) z)))) |
(/.f64 (neg.f64 z) (neg.f64 (*.f64 y y))) |
(/.f64 (/.f64 z y) y) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 y y) z))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 y y) z) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (/.f64 z y)))) |
(/.f64 (neg.f64 (neg.f64 z)) (neg.f64 (neg.f64 (*.f64 y y)))) |
(/.f64 (neg.f64 (/.f64 z y)) (neg.f64 y)) |
(/.f64 (*.f64 z #s(literal 1 binary64)) (*.f64 y y)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 z))) (neg.f64 (neg.f64 (neg.f64 (*.f64 y y))))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 z y))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (*.f64 z #s(literal 1 binary64))) (neg.f64 (*.f64 y y))) |
(pow.f64 (/.f64 (*.f64 y y) z) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 y y) z) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 y (/.f64 z y)) #s(literal -1 binary64)) |
(*.f64 z (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(*.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y y))) |
(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 y y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) z) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z y)) |
(*.f64 (/.f64 z y) (/.f64 #s(literal 1 binary64) y)) |
(+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) (*.f64 t (*.f64 t t))) |
(+.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64)))) |
(-.f64 (/.f64 (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 t t))) (fma.f64 t (*.f64 t t) (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/9 binary64)) (fma.f64 t (*.f64 t t) (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/9 binary64)) (-.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) (*.f64 t (*.f64 t t)))) (/.f64 (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 t t))) (-.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) (*.f64 t (*.f64 t t))))) |
(fma.f64 t (*.f64 t t) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64)))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 t (*.f64 t t))) |
(fma.f64 (*.f64 t t) t (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64)))) |
(fma.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)) (*.f64 t (*.f64 t t))) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/3 binary64)) (*.f64 t (*.f64 t t))) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64) (*.f64 t (*.f64 t t))) |
(fma.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 x x) (*.f64 t (*.f64 t t))) |
(fma.f64 (pow.f64 t #s(literal 3/2 binary64)) (pow.f64 t #s(literal 3/2 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64)))) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x (*.f64 t (*.f64 t t))) |
(fma.f64 (*.f64 (*.f64 x #s(literal 1/3 binary64)) x) x (*.f64 t (*.f64 t t))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) (-.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) (*.f64 t (*.f64 t t))) (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 t t)))) (fma.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 t t))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1/27 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 t (*.f64 t t) (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 t (*.f64 t t) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64)))) (fma.f64 t (*.f64 t t) (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))))))) |
(/.f64 (fma.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 t t))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1/27 binary64))) (fma.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) (-.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) (*.f64 t (*.f64 t t))) (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 t t))))) |
(/.f64 (fma.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 t t))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1/27 binary64))) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/9 binary64) (-.f64 (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 t t))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64))))))) |
(/.f64 (*.f64 (fma.f64 t (*.f64 t t) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64)))) (fma.f64 t (*.f64 t t) (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))))) (fma.f64 t (*.f64 t t) (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) (-.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) (*.f64 t (*.f64 t t))) (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 t t)))) (fma.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 t t))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1/27 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 t (*.f64 t t) (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 t (*.f64 t t) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64)))) (fma.f64 t (*.f64 t t) (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 t t))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1/27 binary64)))) (neg.f64 (fma.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) (-.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) (*.f64 t (*.f64 t t))) (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 t t)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 t t))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1/27 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/9 binary64) (-.f64 (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 t t))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 t (*.f64 t t) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64)))) (fma.f64 t (*.f64 t t) (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))))) (neg.f64 (fma.f64 t (*.f64 t t) (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/9 binary64)) (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 t t)))) (-.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) (*.f64 t (*.f64 t t)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 t t))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1/27 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) (-.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) (*.f64 t (*.f64 t t))) (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 t t))))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 t (*.f64 t t) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64)))) (fma.f64 t (*.f64 t t) (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))))))) (neg.f64 (neg.f64 (fma.f64 t (*.f64 t t) (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/9 binary64)) (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 t t))))) (neg.f64 (-.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) (*.f64 t (*.f64 t t))))) |
(pow.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) (-.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) (*.f64 t (*.f64 t t))) (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 t t)))) (fma.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 t t))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1/27 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 t (*.f64 t t) (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 t (*.f64 t t) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64)))) (fma.f64 t (*.f64 t t) (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 t t))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1/27 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) (-.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) (*.f64 t (*.f64 t t))) (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 t t)))))) |
(*.f64 (*.f64 (fma.f64 t (*.f64 t t) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64)))) (fma.f64 t (*.f64 t t) (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 t (*.f64 t t) (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))))) |
| 1× | egg-herbie |
| 12 310× | lower-fma.f64 |
| 12 310× | lower-fma.f32 |
| 6 990× | lower-+.f64 |
| 6 990× | lower-+.f32 |
| 4 834× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 920 | 18283 |
| 1 | 3067 | 16419 |
| 0 | 8535 | 15863 |
| 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)))))))))) |
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(/ (- (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)) |
(/ z (pow y 2)) |
(/ z (pow y 2)) |
(/ z (pow y 2)) |
(/ z (pow y 2)) |
(/ z (pow y 2)) |
(/ z (pow y 2)) |
(/ z (pow y 2)) |
(/ z (pow y 2)) |
(/ z (pow y 2)) |
(/ z (pow y 2)) |
(/ z (pow y 2)) |
(/ z (pow y 2)) |
(/ z (pow y 2)) |
(/ z (pow y 2)) |
(/ z (pow y 2)) |
(/ z (pow y 2)) |
(/ z (pow y 2)) |
(/ z (pow y 2)) |
(/ z (pow y 2)) |
(/ z (pow y 2)) |
(/ z (pow y 2)) |
(/ z (pow y 2)) |
(/ z (pow y 2)) |
(/ z (pow y 2)) |
(* 1/3 (pow x 3)) |
(+ (* 1/3 (pow x 3)) (pow t 3)) |
(+ (* 1/3 (pow x 3)) (pow t 3)) |
(+ (* 1/3 (pow x 3)) (pow t 3)) |
(pow t 3) |
(* (pow t 3) (+ 1 (* 1/3 (/ (pow x 3) (pow t 3))))) |
(* (pow t 3) (+ 1 (* 1/3 (/ (pow x 3) (pow t 3))))) |
(* (pow t 3) (+ 1 (* 1/3 (/ (pow x 3) (pow t 3))))) |
(pow t 3) |
(* -1 (* (pow t 3) (- (* -1/3 (/ (pow x 3) (pow t 3))) 1))) |
(* -1 (* (pow t 3) (- (* -1/3 (/ (pow x 3) (pow t 3))) 1))) |
(* -1 (* (pow t 3) (- (* -1/3 (/ (pow x 3) (pow t 3))) 1))) |
(pow t 3) |
(+ (* 1/3 (pow x 3)) (pow t 3)) |
(+ (* 1/3 (pow x 3)) (pow t 3)) |
(+ (* 1/3 (pow x 3)) (pow t 3)) |
(* 1/3 (pow x 3)) |
(* (pow x 3) (+ 1/3 (/ (pow t 3) (pow x 3)))) |
(* (pow x 3) (+ 1/3 (/ (pow t 3) (pow x 3)))) |
(* (pow x 3) (+ 1/3 (/ (pow t 3) (pow x 3)))) |
(* 1/3 (pow x 3)) |
(* -1 (* (pow x 3) (- (* -1 (/ (pow t 3) (pow x 3))) 1/3))) |
(* -1 (* (pow x 3) (- (* -1 (/ (pow t 3) (pow x 3))) 1/3))) |
(* -1 (* (pow x 3) (- (* -1 (/ (pow t 3) (pow x 3))) 1/3))) |
| Outputs |
|---|
(+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(fma.f64 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)))))))))) |
(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))))))) (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 (*.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)))))))))) |
(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 |
(+ 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 (* 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 (+.f64 t (/.f64 #s(literal 0 binary64) y)) 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))))) |
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(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) |
(/ x y) |
(/.f64 x y) |
(/ (+ x (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) y) |
(/.f64 (+.f64 x (/.f64 #s(literal 0 binary64) 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) |
(/.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (*.f64 y y)) (/.f64 #s(literal 0 binary64) y)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y))))) 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) |
(/.f64 (+.f64 x (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/12 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (*.f64 x (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))))) (*.f64 y (*.f64 y y))) (/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (*.f64 y y))) (/.f64 #s(literal 0 binary64) y)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (neg.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x))))) (*.f64 y (*.f64 y y))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y)) (/.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))))))) y) |
(/ x y) |
(/.f64 x y) |
(* -1 (/ (+ (* -1 x) (* -1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) y)) |
(/.f64 (+.f64 x (/.f64 #s(literal 0 binary64) 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)) |
(/.f64 (-.f64 (neg.f64 x) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (*.f64 x (*.f64 x x)))) (neg.f64 y)) y)) (neg.f64 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)) |
(/.f64 (-.f64 (neg.f64 x) (/.f64 (/.f64 (+.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/12 binary64) (fma.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))))) (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)) (*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (*.f64 x (*.f64 x x))))) (neg.f64 y)) y)) (neg.f64 y)) |
(/ z (pow y 2)) |
(/.f64 z (*.f64 y y)) |
(/ z (pow y 2)) |
(/.f64 z (*.f64 y y)) |
(/ z (pow y 2)) |
(/.f64 z (*.f64 y y)) |
(/ z (pow y 2)) |
(/.f64 z (*.f64 y y)) |
(/ z (pow y 2)) |
(/.f64 z (*.f64 y y)) |
(/ z (pow y 2)) |
(/.f64 z (*.f64 y y)) |
(/ z (pow y 2)) |
(/.f64 z (*.f64 y y)) |
(/ z (pow y 2)) |
(/.f64 z (*.f64 y y)) |
(/ z (pow y 2)) |
(/.f64 z (*.f64 y y)) |
(/ z (pow y 2)) |
(/.f64 z (*.f64 y y)) |
(/ z (pow y 2)) |
(/.f64 z (*.f64 y y)) |
(/ z (pow y 2)) |
(/.f64 z (*.f64 y y)) |
(/ z (pow y 2)) |
(/.f64 z (*.f64 y y)) |
(/ z (pow y 2)) |
(/.f64 z (*.f64 y y)) |
(/ z (pow y 2)) |
(/.f64 z (*.f64 y y)) |
(/ z (pow y 2)) |
(/.f64 z (*.f64 y y)) |
(/ z (pow y 2)) |
(/.f64 z (*.f64 y y)) |
(/ z (pow y 2)) |
(/.f64 z (*.f64 y y)) |
(/ z (pow y 2)) |
(/.f64 z (*.f64 y y)) |
(/ z (pow y 2)) |
(/.f64 z (*.f64 y y)) |
(/ z (pow y 2)) |
(/.f64 z (*.f64 y y)) |
(/ z (pow y 2)) |
(/.f64 z (*.f64 y y)) |
(/ z (pow y 2)) |
(/.f64 z (*.f64 y y)) |
(/ z (pow y 2)) |
(/.f64 z (*.f64 y y)) |
(* 1/3 (pow x 3)) |
(*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) |
(+ (* 1/3 (pow x 3)) (pow t 3)) |
(fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))) |
(+ (* 1/3 (pow x 3)) (pow t 3)) |
(fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))) |
(+ (* 1/3 (pow x 3)) (pow t 3)) |
(fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))) |
(pow t 3) |
(*.f64 t (*.f64 t t)) |
(* (pow t 3) (+ 1 (* 1/3 (/ (pow x 3) (pow t 3))))) |
(*.f64 (*.f64 t (*.f64 t t)) (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 t (*.f64 t t))) #s(literal 1 binary64))) |
(* (pow t 3) (+ 1 (* 1/3 (/ (pow x 3) (pow t 3))))) |
(*.f64 (*.f64 t (*.f64 t t)) (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 t (*.f64 t t))) #s(literal 1 binary64))) |
(* (pow t 3) (+ 1 (* 1/3 (/ (pow x 3) (pow t 3))))) |
(*.f64 (*.f64 t (*.f64 t t)) (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 t (*.f64 t t))) #s(literal 1 binary64))) |
(pow t 3) |
(*.f64 t (*.f64 t t)) |
(* -1 (* (pow t 3) (- (* -1/3 (/ (pow x 3) (pow t 3))) 1))) |
(neg.f64 (*.f64 (*.f64 t (*.f64 t t)) (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 t (*.f64 t t))) #s(literal -1 binary64)))) |
(* -1 (* (pow t 3) (- (* -1/3 (/ (pow x 3) (pow t 3))) 1))) |
(neg.f64 (*.f64 (*.f64 t (*.f64 t t)) (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 t (*.f64 t t))) #s(literal -1 binary64)))) |
(* -1 (* (pow t 3) (- (* -1/3 (/ (pow x 3) (pow t 3))) 1))) |
(neg.f64 (*.f64 (*.f64 t (*.f64 t t)) (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 t (*.f64 t t))) #s(literal -1 binary64)))) |
(pow t 3) |
(*.f64 t (*.f64 t t)) |
(+ (* 1/3 (pow x 3)) (pow t 3)) |
(fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))) |
(+ (* 1/3 (pow x 3)) (pow t 3)) |
(fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))) |
(+ (* 1/3 (pow x 3)) (pow t 3)) |
(fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))) |
(* 1/3 (pow x 3)) |
(*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (+ 1/3 (/ (pow t 3) (pow x 3)))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))))) |
(* (pow x 3) (+ 1/3 (/ (pow t 3) (pow x 3)))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))))) |
(* (pow x 3) (+ 1/3 (/ (pow t 3) (pow x 3)))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))))) |
(* 1/3 (pow x 3)) |
(*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) |
(* -1 (* (pow x 3) (- (* -1 (/ (pow t 3) (pow x 3))) 1/3))) |
(neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 (*.f64 t (*.f64 t t)) (neg.f64 (*.f64 x (*.f64 x x)))) #s(literal -1/3 binary64)))) |
(* -1 (* (pow x 3) (- (* -1 (/ (pow t 3) (pow x 3))) 1/3))) |
(neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 (*.f64 t (*.f64 t t)) (neg.f64 (*.f64 x (*.f64 x x)))) #s(literal -1/3 binary64)))) |
(* -1 (* (pow x 3) (- (* -1 (/ (pow t 3) (pow x 3))) 1/3))) |
(neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 (*.f64 t (*.f64 t t)) (neg.f64 (*.f64 x (*.f64 x x)))) #s(literal -1/3 binary64)))) |
Compiled 57 992 to 3 744 computations (93.5% saved)
33 alts after pruning (32 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 459 | 31 | 1 490 |
| Fresh | 5 | 1 | 6 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 468 | 33 | 1 501 |
| Status | Accuracy | Program |
|---|---|---|
| 50.2% | (fma.f64 (/.f64 (-.f64 t x) y) (*.f64 y z) x) | |
| 59.4% | (fma.f64 (-.f64 t x) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y z)) x) | |
| 64.2% | (fma.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) y) z x) | |
| 45.6% | (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (-.f64 (neg.f64 x) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (*.f64 x (*.f64 x x)))) (neg.f64 y)) y)) (neg.f64 y))) y) z x) | |
| ▶ | 71.9% | (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) z x) |
| ✓ | 98.4% | (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) |
| 55.3% | (fma.f64 (*.f64 y (*.f64 z (-.f64 t x))) (/.f64 #s(literal 1 binary64) y) x) | |
| 28.7% | (fma.f64 z (/.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (fma.f64 t t (*.f64 x (+.f64 t x)))) x) | |
| 42.7% | (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 t x) (*.f64 (+.f64 t x) (-.f64 t x)))) x) | |
| 31.0% | (fma.f64 z (-.f64 t x) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 2/3 binary64))) (/.f64 z (*.f64 y y)) x)) | |
| 28.7% | (fma.f64 z (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x) | |
| 57.9% | (fma.f64 z (neg.f64 x) x) | |
| 9.0% | (fma.f64 z t (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z (-.f64 (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64)) (*.f64 t (*.f64 t t))))) (*.f64 y y))) | |
| ▶ | 40.4% | (fma.f64 t (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 z (*.f64 t t)) (*.f64 y y)) z) (fma.f64 x (neg.f64 z) x)) |
| 17.2% | (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 y (*.f64 z (-.f64 t x))) (*.f64 y (*.f64 z (-.f64 t x)))) (*.f64 y y)) (*.f64 x x)) (-.f64 (/.f64 (*.f64 y (*.f64 z (-.f64 t x))) y) x)) | |
| 2.2% | (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 z (*.f64 x (*.f64 x x)))) (*.f64 y y)) | |
| ▶ | 55.3% | (+.f64 (/.f64 (*.f64 y (*.f64 z (-.f64 t x))) y) x) |
| 55.6% | (+.f64 x (/.f64 (*.f64 (*.f64 y z) (neg.f64 (-.f64 t x))) (neg.f64 y))) | |
| 68.0% | (+.f64 x (*.f64 (*.f64 y z) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y) (tanh.f64 (/.f64 t y))))) | |
| 36.5% | (+.f64 x (*.f64 (*.f64 y z) (/.f64 (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (+.f64 t x)) y))) | |
| 27.9% | (+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y)))) | |
| 29.8% | (+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y)))) | |
| ▶ | 19.6% | (+.f64 x (*.f64 (*.f64 y z) (/.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))))))) |
| 50.2% | (+.f64 x (*.f64 (*.f64 y z) (/.f64 (neg.f64 x) y))) | |
| 48.3% | (+.f64 x (*.f64 (*.f64 y z) (/.f64 t y))) | |
| 65.9% | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.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)))))) | |
| 53.5% | (+.f64 x (*.f64 z t)) | |
| 57.9% | (+.f64 x (*.f64 x (neg.f64 z))) | |
| 16.3% | (*.f64 (*.f64 x (*.f64 x x)) (-.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 z (*.f64 x x)))) | |
| 6.2% | (*.f64 (*.f64 t (*.f64 t t)) (fma.f64 #s(literal -1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 t t)))) | |
| 26.8% | (*.f64 z (-.f64 t x)) | |
| ▶ | 16.0% | (*.f64 z t) |
| 1.7% | (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 t (*.f64 t t)) (/.f64 z (*.f64 y y)))) |
Compiled 1 336 to 741 computations (44.5% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 y z) |
| ✓ | cost-diff | 128 | (+.f64 x (*.f64 (*.f64 y z) (/.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))))))) |
| ✓ | cost-diff | 1024 | (*.f64 (*.f64 y z) (/.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)))))) |
| ✓ | cost-diff | 2432 | (/.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))))) |
| ✓ | cost-diff | 0 | (*.f64 z (*.f64 t t)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 z (*.f64 t t)) (*.f64 y y)) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 z (*.f64 t t)) (*.f64 y y)) z) |
| ✓ | cost-diff | 320 | (fma.f64 t (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 z (*.f64 t t)) (*.f64 y y)) z) (fma.f64 x (neg.f64 z) x)) |
| ✓ | cost-diff | 0 | (*.f64 z (-.f64 t x)) |
| ✓ | cost-diff | 0 | (*.f64 y (*.f64 z (-.f64 t x))) |
| ✓ | cost-diff | 128 | (+.f64 (/.f64 (*.f64 y (*.f64 z (-.f64 t x))) y) x) |
| ✓ | cost-diff | 1024 | (/.f64 (*.f64 y (*.f64 z (-.f64 t x))) y) |
| ✓ | cost-diff | 0 | (*.f64 z t) |
| ✓ | cost-diff | 0 | (tanh.f64 (/.f64 t y)) |
| ✓ | cost-diff | 0 | (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) z x) |
| ✓ | cost-diff | 704 | (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) |
| 12 520× | lower-fma.f32 |
| 12 510× | lower-fma.f64 |
| 5 666× | lower-*.f32 |
| 5 642× | lower-*.f64 |
| 3 908× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 279 |
| 0 | 67 | 247 |
| 1 | 161 | 247 |
| 2 | 437 | 221 |
| 3 | 1490 | 207 |
| 4 | 5519 | 205 |
| 0 | 8744 | 199 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) z x) |
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) |
(-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) |
(tanh.f64 (/.f64 t y)) |
(/.f64 t y) |
t |
y |
(/.f64 x y) |
x |
z |
(*.f64 z t) |
z |
t |
(+.f64 (/.f64 (*.f64 y (*.f64 z (-.f64 t x))) y) x) |
(/.f64 (*.f64 y (*.f64 z (-.f64 t x))) y) |
(*.f64 y (*.f64 z (-.f64 t x))) |
y |
(*.f64 z (-.f64 t x)) |
z |
(-.f64 t x) |
t |
x |
(fma.f64 t (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 z (*.f64 t t)) (*.f64 y y)) z) (fma.f64 x (neg.f64 z) x)) |
t |
(fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 z (*.f64 t t)) (*.f64 y y)) z) |
#s(literal -1/3 binary64) |
(/.f64 (*.f64 z (*.f64 t t)) (*.f64 y y)) |
(*.f64 z (*.f64 t t)) |
z |
(*.f64 t t) |
(*.f64 y y) |
y |
(fma.f64 x (neg.f64 z) x) |
x |
(neg.f64 z) |
(+.f64 x (*.f64 (*.f64 y z) (/.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))))))) |
x |
(*.f64 (*.f64 y z) (/.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)))))) |
(*.f64 y z) |
y |
z |
(/.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))))) |
(*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) |
(fma.f64 t t (*.f64 x (+.f64 t x))) |
t |
(*.f64 x (+.f64 t x)) |
(+.f64 t x) |
(-.f64 t x) |
(*.f64 y (fma.f64 t t (*.f64 x (+.f64 t x)))) |
| Outputs |
|---|
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) z x) |
(fma.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) z x) |
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) |
(fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) |
(-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) |
(tanh.f64 (/.f64 t y)) |
(/.f64 t y) |
t |
y |
(/.f64 x y) |
x |
z |
(*.f64 z t) |
(*.f64 t z) |
z |
t |
(+.f64 (/.f64 (*.f64 y (*.f64 z (-.f64 t x))) y) x) |
(fma.f64 z (-.f64 t x) x) |
(/.f64 (*.f64 y (*.f64 z (-.f64 t x))) y) |
(*.f64 z (-.f64 t x)) |
(*.f64 y (*.f64 z (-.f64 t x))) |
y |
(*.f64 z (-.f64 t x)) |
z |
(-.f64 t x) |
t |
x |
(fma.f64 t (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 z (*.f64 t t)) (*.f64 y y)) z) (fma.f64 x (neg.f64 z) x)) |
(fma.f64 z (fma.f64 t (/.f64 (*.f64 t (*.f64 t #s(literal -1/3 binary64))) (*.f64 y y)) (-.f64 t x)) x) |
t |
(fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 z (*.f64 t t)) (*.f64 y y)) z) |
(fma.f64 t (*.f64 t (/.f64 (*.f64 z #s(literal -1/3 binary64)) (*.f64 y y))) z) |
#s(literal -1/3 binary64) |
(/.f64 (*.f64 z (*.f64 t t)) (*.f64 y y)) |
(/.f64 (*.f64 t (*.f64 t z)) (*.f64 y y)) |
(*.f64 z (*.f64 t t)) |
(*.f64 t (*.f64 t z)) |
z |
(*.f64 t t) |
(*.f64 y y) |
y |
(fma.f64 x (neg.f64 z) x) |
(-.f64 x (*.f64 x z)) |
x |
(neg.f64 z) |
(+.f64 x (*.f64 (*.f64 y z) (/.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))))))) |
(fma.f64 z (-.f64 t x) x) |
x |
(*.f64 (*.f64 y z) (/.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)))))) |
(*.f64 z (-.f64 t x)) |
(*.f64 y z) |
y |
z |
(/.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))))) |
(/.f64 (-.f64 t x) y) |
(*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) |
(*.f64 (-.f64 t x) (fma.f64 t t (*.f64 x (+.f64 t x)))) |
(fma.f64 t t (*.f64 x (+.f64 t x))) |
t |
(*.f64 x (+.f64 t x)) |
(+.f64 t x) |
(-.f64 t x) |
(*.f64 y (fma.f64 t t (*.f64 x (+.f64 t x)))) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 96.1% | (fma.f64 t t (*.f64 x (+.f64 t x))) |
| ✓ | accuracy | 88.6% | (*.f64 y (fma.f64 t t (*.f64 x (+.f64 t x)))) |
| ✓ | accuracy | 76.4% | (*.f64 (*.f64 y z) (/.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)))))) |
| ✓ | accuracy | 44.1% | (/.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))))) |
| ✓ | accuracy | 99.9% | (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 z (*.f64 t t)) (*.f64 y y)) z) |
| ✓ | accuracy | 96.4% | (fma.f64 t (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 z (*.f64 t t)) (*.f64 y y)) z) (fma.f64 x (neg.f64 z) x)) |
| ✓ | accuracy | 85.6% | (*.f64 z (*.f64 t t)) |
| ✓ | accuracy | 81.1% | (/.f64 (*.f64 z (*.f64 t t)) (*.f64 y y)) |
| ✓ | accuracy | 100.0% | (*.f64 z (-.f64 t x)) |
| ✓ | accuracy | 100.0% | (+.f64 (/.f64 (*.f64 y (*.f64 z (-.f64 t x))) y) x) |
| ✓ | accuracy | 93.5% | (*.f64 y (*.f64 z (-.f64 t x))) |
| ✓ | accuracy | 85.8% | (/.f64 (*.f64 y (*.f64 z (-.f64 t x))) y) |
| ✓ | accuracy | 100.0% | (*.f64 z t) |
| ✓ | accuracy | 100.0% | (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) z x) |
| ✓ | accuracy | 100.0% | (tanh.f64 (/.f64 t y)) |
| ✓ | accuracy | 100.0% | (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) |
| ✓ | accuracy | 86.0% | (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) |
| 75.0ms | 256× | 0 | valid |
Compiled 296 to 40 computations (86.5% saved)
ival-mult: 23.0ms (46.3% of total)ival-div: 9.0ms (18.1% of total)ival-add: 8.0ms (16.1% of total)const: 4.0ms (8.1% of total)ival-sub: 2.0ms (4% of total)ival-tanh: 1.0ms (2% of total)ival-neg: 1.0ms (2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) (patch (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) z x) (patch (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) z x) #<representation binary64>) () ()) |
#s(alt (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (patch (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) #<representation binary64>) () ()) |
#s(alt (tanh.f64 (/.f64 t y)) (patch (tanh.f64 (/.f64 t y)) #<representation binary64>) () ()) |
#s(alt (*.f64 z t) (patch (*.f64 z t) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 y (*.f64 z (-.f64 t x))) y) (patch (/.f64 (*.f64 y (*.f64 z (-.f64 t x))) y) #<representation binary64>) () ()) |
#s(alt (+.f64 (/.f64 (*.f64 y (*.f64 z (-.f64 t x))) y) x) (patch (+.f64 (/.f64 (*.f64 y (*.f64 z (-.f64 t x))) y) x) #<representation binary64>) () ()) |
#s(alt (*.f64 y (*.f64 z (-.f64 t x))) (patch (*.f64 y (*.f64 z (-.f64 t x))) #<representation binary64>) () ()) |
#s(alt (*.f64 z (-.f64 t x)) (patch (*.f64 z (-.f64 t x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 t (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 z (*.f64 t t)) (*.f64 y y)) z) (fma.f64 x (neg.f64 z) x)) (patch (fma.f64 t (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 z (*.f64 t t)) (*.f64 y y)) z) (fma.f64 x (neg.f64 z) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 z (*.f64 t t)) (*.f64 y y)) z) (patch (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 z (*.f64 t t)) (*.f64 y y)) z) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 z (*.f64 t t)) (*.f64 y y)) (patch (/.f64 (*.f64 z (*.f64 t t)) (*.f64 y y)) #<representation binary64>) () ()) |
#s(alt (*.f64 z (*.f64 t t)) (patch (*.f64 z (*.f64 t t)) #<representation binary64>) () ()) |
#s(alt (/.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))))) (patch (/.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))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 y z) (/.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)))))) (patch (*.f64 (*.f64 y z) (/.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)))))) #<representation binary64>) () ()) |
#s(alt (+.f64 x (*.f64 (*.f64 y z) (/.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))))))) (patch (+.f64 x (*.f64 (*.f64 y z) (/.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))))))) #<representation binary64>) () ()) |
#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ()) |
#s(alt (*.f64 y (fma.f64 t t (*.f64 x (+.f64 t x)))) (patch (*.f64 y (fma.f64 t t (*.f64 x (+.f64 t x)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 t t (*.f64 x (+.f64 t x))) (patch (fma.f64 t t (*.f64 x (+.f64 t x))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1 x) (taylor 0 t) (#s(alt (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) (patch (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) #<representation binary64>) () ())) ()) |
#s(alt (+ t (* -1 x)) (taylor 0 t) (#s(alt (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) (patch (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 x) (* t (+ 1 (* -1/3 (/ (pow t 2) (pow y 2)))))) (taylor 0 t) (#s(alt (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) (patch (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 x) (* t (+ 1 (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 4))) (* 1/3 (/ 1 (pow y 2)))))))) (taylor 0 t) (#s(alt (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) (patch (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y)))) (taylor inf t) (#s(alt (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) (patch (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y)))) (taylor inf t) (#s(alt (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) (patch (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y)))) (taylor inf t) (#s(alt (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) (patch (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y)))) (taylor inf t) (#s(alt (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) (patch (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y)))) (taylor -inf t) (#s(alt (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) (patch (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y)))) (taylor -inf t) (#s(alt (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) (patch (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y)))) (taylor -inf t) (#s(alt (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) (patch (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y)))) (taylor -inf t) (#s(alt (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) (patch (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 y) (#s(alt (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) (patch (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 x) (* y (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))) (taylor 0 y) (#s(alt (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) (patch (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 x) (* y (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))) (taylor 0 y) (#s(alt (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) (patch (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 x) (* y (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))) (taylor 0 y) (#s(alt (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) (patch (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) #<representation binary64>) () ())) ()) |
#s(alt (- t x) (taylor inf y) (#s(alt (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) (patch (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) #<representation binary64>) () ())) ()) |
#s(alt (- (+ t (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y))) x) (taylor inf y) (#s(alt (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) (patch (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 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)))) (+ x (* 1/2 (/ (pow t 3) (pow y 2))))) (taylor inf y) (#s(alt (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) (patch (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 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))))) (+ 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 (/ (pow t 3) (pow y 2))))))) (taylor inf y) (#s(alt (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) (patch (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (- (* -1 t) (* -1 x))) (taylor -inf y) (#s(alt (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) (patch (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (- (* -1 t) (* -1 x))) (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y))) (taylor -inf y) (#s(alt (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) (patch (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (- (* -1 t) (* -1 x))) (* -1 (/ (- (+ (* -1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (/ (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))) y))) (* -1/2 (/ (pow t 3) y))) y))) (taylor -inf y) (#s(alt (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) (patch (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) #<representation binary64>) () ())) ()) |
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#s(alt (* y (+ (* x (+ t x)) (pow t 2))) (taylor inf y) (#s(alt (*.f64 y (fma.f64 t t (*.f64 x (+.f64 t x)))) (patch (*.f64 y (fma.f64 t t (*.f64 x (+.f64 t x)))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* x (+ t x)) (pow t 2))) (taylor inf y) (#s(alt (*.f64 y (fma.f64 t t (*.f64 x (+.f64 t x)))) (patch (*.f64 y (fma.f64 t t (*.f64 x (+.f64 t x)))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* x (+ t x)) (pow t 2))) (taylor inf y) (#s(alt (*.f64 y (fma.f64 t t (*.f64 x (+.f64 t x)))) (patch (*.f64 y (fma.f64 t t (*.f64 x (+.f64 t x)))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* x (+ t x)) (pow t 2))) (taylor -inf y) (#s(alt (*.f64 y (fma.f64 t t (*.f64 x (+.f64 t x)))) (patch (*.f64 y (fma.f64 t t (*.f64 x (+.f64 t x)))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* x (+ t x)) (pow t 2))) (taylor -inf y) (#s(alt (*.f64 y (fma.f64 t t (*.f64 x (+.f64 t x)))) (patch (*.f64 y (fma.f64 t t (*.f64 x (+.f64 t x)))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* x (+ t x)) (pow t 2))) (taylor -inf y) (#s(alt (*.f64 y (fma.f64 t t (*.f64 x (+.f64 t x)))) (patch (*.f64 y (fma.f64 t t (*.f64 x (+.f64 t x)))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* x (+ t x)) (pow t 2))) (taylor -inf y) (#s(alt (*.f64 y (fma.f64 t t (*.f64 x (+.f64 t x)))) (patch (*.f64 y (fma.f64 t t (*.f64 x (+.f64 t x)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) y) (taylor 0 t) (#s(alt (*.f64 y (fma.f64 t t (*.f64 x (+.f64 t x)))) (patch (*.f64 y (fma.f64 t t (*.f64 x (+.f64 t x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (* x y)) (* (pow x 2) y)) (taylor 0 t) (#s(alt (*.f64 y (fma.f64 t t (*.f64 x (+.f64 t x)))) (patch (*.f64 y (fma.f64 t t (*.f64 x (+.f64 t x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (+ (* t y) (* x y))) (* (pow x 2) y)) (taylor 0 t) (#s(alt (*.f64 y (fma.f64 t t (*.f64 x (+.f64 t x)))) (patch (*.f64 y (fma.f64 t t (*.f64 x (+.f64 t x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (+ (* t y) (* x y))) (* (pow x 2) y)) (taylor 0 t) (#s(alt (*.f64 y (fma.f64 t t (*.f64 x (+.f64 t x)))) (patch (*.f64 y (fma.f64 t t (*.f64 x (+.f64 t x)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow t 2) y) (taylor inf t) (#s(alt (*.f64 y (fma.f64 t t (*.f64 x (+.f64 t x)))) (patch (*.f64 y (fma.f64 t t (*.f64 x (+.f64 t x)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow t 2) (+ y (/ (* x y) t))) (taylor inf t) (#s(alt (*.f64 y (fma.f64 t t (*.f64 x (+.f64 t x)))) (patch (*.f64 y (fma.f64 t t (*.f64 x (+.f64 t x)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow t 2) (+ y (+ (/ (* x y) t) (/ (* (pow x 2) y) (pow t 2))))) (taylor inf t) (#s(alt (*.f64 y (fma.f64 t t (*.f64 x (+.f64 t x)))) (patch (*.f64 y (fma.f64 t t (*.f64 x (+.f64 t x)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow t 2) (+ y (+ (/ (* x y) t) (/ (* (pow x 2) y) (pow t 2))))) (taylor inf t) (#s(alt (*.f64 y (fma.f64 t t (*.f64 x (+.f64 t x)))) (patch (*.f64 y (fma.f64 t t (*.f64 x (+.f64 t x)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow t 2) y) (taylor -inf t) (#s(alt (*.f64 y (fma.f64 t t (*.f64 x (+.f64 t x)))) (patch (*.f64 y (fma.f64 t t (*.f64 x (+.f64 t x)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow t 2) (+ y (/ (* x y) t))) (taylor -inf t) (#s(alt (*.f64 y (fma.f64 t t (*.f64 x (+.f64 t x)))) (patch (*.f64 y (fma.f64 t t (*.f64 x (+.f64 t x)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow t 2) (+ y (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (* (pow x 2) y) t))) t)))) (taylor -inf t) (#s(alt (*.f64 y (fma.f64 t t (*.f64 x (+.f64 t x)))) (patch (*.f64 y (fma.f64 t t (*.f64 x (+.f64 t x)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow t 2) (+ y (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (* (pow x 2) y) t))) t)))) (taylor -inf t) (#s(alt (*.f64 y (fma.f64 t t (*.f64 x (+.f64 t x)))) (patch (*.f64 y (fma.f64 t t (*.f64 x (+.f64 t x)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow t 2) y) (taylor 0 x) (#s(alt (*.f64 y (fma.f64 t t (*.f64 x (+.f64 t x)))) (patch (*.f64 y (fma.f64 t t (*.f64 x (+.f64 t x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (* x y)) (* (pow t 2) y)) (taylor 0 x) (#s(alt (*.f64 y (fma.f64 t t (*.f64 x (+.f64 t x)))) (patch (*.f64 y (fma.f64 t t (*.f64 x (+.f64 t x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (+ (* t y) (* x y))) (* (pow t 2) y)) (taylor 0 x) (#s(alt (*.f64 y (fma.f64 t t (*.f64 x (+.f64 t x)))) (patch (*.f64 y (fma.f64 t t (*.f64 x (+.f64 t x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (+ (* t y) (* x y))) (* (pow t 2) y)) (taylor 0 x) (#s(alt (*.f64 y (fma.f64 t t (*.f64 x (+.f64 t x)))) (patch (*.f64 y (fma.f64 t t (*.f64 x (+.f64 t x)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) y) (taylor inf x) (#s(alt (*.f64 y (fma.f64 t t (*.f64 x (+.f64 t x)))) (patch (*.f64 y (fma.f64 t t (*.f64 x (+.f64 t x)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ y (/ (* t y) x))) (taylor inf x) (#s(alt (*.f64 y (fma.f64 t t (*.f64 x (+.f64 t x)))) (patch (*.f64 y (fma.f64 t t (*.f64 x (+.f64 t x)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ y (+ (/ (* t y) x) (/ (* (pow t 2) y) (pow x 2))))) (taylor inf x) (#s(alt (*.f64 y (fma.f64 t t (*.f64 x (+.f64 t x)))) (patch (*.f64 y (fma.f64 t t (*.f64 x (+.f64 t x)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ y (+ (/ (* t y) x) (/ (* (pow t 2) y) (pow x 2))))) (taylor inf x) (#s(alt (*.f64 y (fma.f64 t t (*.f64 x (+.f64 t x)))) (patch (*.f64 y (fma.f64 t t (*.f64 x (+.f64 t x)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) y) (taylor -inf x) (#s(alt (*.f64 y (fma.f64 t t (*.f64 x (+.f64 t x)))) (patch (*.f64 y (fma.f64 t t (*.f64 x (+.f64 t x)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ y (/ (* t y) x))) (taylor -inf x) (#s(alt (*.f64 y (fma.f64 t t (*.f64 x (+.f64 t x)))) (patch (*.f64 y (fma.f64 t t (*.f64 x (+.f64 t x)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ y (* -1 (/ (+ (* -1 (* t y)) (* -1 (/ (* (pow t 2) y) x))) x)))) (taylor -inf x) (#s(alt (*.f64 y (fma.f64 t t (*.f64 x (+.f64 t x)))) (patch (*.f64 y (fma.f64 t t (*.f64 x (+.f64 t x)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ y (* -1 (/ (+ (* -1 (* t y)) (* -1 (/ (* (pow t 2) y) x))) x)))) (taylor -inf x) (#s(alt (*.f64 y (fma.f64 t t (*.f64 x (+.f64 t x)))) (patch (*.f64 y (fma.f64 t t (*.f64 x (+.f64 t x)))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 t) (#s(alt (fma.f64 t t (*.f64 x (+.f64 t x))) (patch (fma.f64 t t (*.f64 x (+.f64 t x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t x) (pow x 2)) (taylor 0 t) (#s(alt (fma.f64 t t (*.f64 x (+.f64 t x))) (patch (fma.f64 t t (*.f64 x (+.f64 t x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (+ t x)) (pow x 2)) (taylor 0 t) (#s(alt (fma.f64 t t (*.f64 x (+.f64 t x))) (patch (fma.f64 t t (*.f64 x (+.f64 t x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (+ t x)) (pow x 2)) (taylor 0 t) (#s(alt (fma.f64 t t (*.f64 x (+.f64 t x))) (patch (fma.f64 t t (*.f64 x (+.f64 t x))) #<representation binary64>) () ())) ()) |
#s(alt (pow t 2) (taylor inf t) (#s(alt (fma.f64 t t (*.f64 x (+.f64 t x))) (patch (fma.f64 t t (*.f64 x (+.f64 t x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow t 2) (+ 1 (/ x t))) (taylor inf t) (#s(alt (fma.f64 t t (*.f64 x (+.f64 t x))) (patch (fma.f64 t t (*.f64 x (+.f64 t x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow t 2) (+ 1 (+ (/ x t) (/ (pow x 2) (pow t 2))))) (taylor inf t) (#s(alt (fma.f64 t t (*.f64 x (+.f64 t x))) (patch (fma.f64 t t (*.f64 x (+.f64 t x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow t 2) (+ 1 (+ (/ x t) (/ (pow x 2) (pow t 2))))) (taylor inf t) (#s(alt (fma.f64 t t (*.f64 x (+.f64 t x))) (patch (fma.f64 t t (*.f64 x (+.f64 t x))) #<representation binary64>) () ())) ()) |
#s(alt (pow t 2) (taylor -inf t) (#s(alt (fma.f64 t t (*.f64 x (+.f64 t x))) (patch (fma.f64 t t (*.f64 x (+.f64 t x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow t 2) (+ 1 (/ x t))) (taylor -inf t) (#s(alt (fma.f64 t t (*.f64 x (+.f64 t x))) (patch (fma.f64 t t (*.f64 x (+.f64 t x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow t 2) (+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (pow x 2) t))) t)))) (taylor -inf t) (#s(alt (fma.f64 t t (*.f64 x (+.f64 t x))) (patch (fma.f64 t t (*.f64 x (+.f64 t x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow t 2) (+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (pow x 2) t))) t)))) (taylor -inf t) (#s(alt (fma.f64 t t (*.f64 x (+.f64 t x))) (patch (fma.f64 t t (*.f64 x (+.f64 t x))) #<representation binary64>) () ())) ()) |
#s(alt (pow t 2) (taylor 0 x) (#s(alt (fma.f64 t t (*.f64 x (+.f64 t x))) (patch (fma.f64 t t (*.f64 x (+.f64 t x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t x) (pow t 2)) (taylor 0 x) (#s(alt (fma.f64 t t (*.f64 x (+.f64 t x))) (patch (fma.f64 t t (*.f64 x (+.f64 t x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (+ t x)) (pow t 2)) (taylor 0 x) (#s(alt (fma.f64 t t (*.f64 x (+.f64 t x))) (patch (fma.f64 t t (*.f64 x (+.f64 t x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (+ t x)) (pow t 2)) (taylor 0 x) (#s(alt (fma.f64 t t (*.f64 x (+.f64 t x))) (patch (fma.f64 t t (*.f64 x (+.f64 t x))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (fma.f64 t t (*.f64 x (+.f64 t x))) (patch (fma.f64 t t (*.f64 x (+.f64 t x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (/ t x))) (taylor inf x) (#s(alt (fma.f64 t t (*.f64 x (+.f64 t x))) (patch (fma.f64 t t (*.f64 x (+.f64 t x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (+ (/ t x) (/ (pow t 2) (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 t t (*.f64 x (+.f64 t x))) (patch (fma.f64 t t (*.f64 x (+.f64 t x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (+ (/ t x) (/ (pow t 2) (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 t t (*.f64 x (+.f64 t x))) (patch (fma.f64 t t (*.f64 x (+.f64 t x))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (fma.f64 t t (*.f64 x (+.f64 t x))) (patch (fma.f64 t t (*.f64 x (+.f64 t x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (/ t x))) (taylor -inf x) (#s(alt (fma.f64 t t (*.f64 x (+.f64 t x))) (patch (fma.f64 t t (*.f64 x (+.f64 t x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 t) (* -1 (/ (pow t 2) x))) x)))) (taylor -inf x) (#s(alt (fma.f64 t t (*.f64 x (+.f64 t x))) (patch (fma.f64 t t (*.f64 x (+.f64 t x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 t) (* -1 (/ (pow t 2) x))) x)))) (taylor -inf x) (#s(alt (fma.f64 t t (*.f64 x (+.f64 t x))) (patch (fma.f64 t t (*.f64 x (+.f64 t x))) #<representation binary64>) () ())) ()) |
177 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | (+ (* (* (- (tanh (/ t y)) (/ x y)) y) z) x) |
| 1.0ms | x | @ | 0 | (+ (* t (+ (* -1/3 (/ (* z (* t t)) (* y y))) z)) (+ (* x (neg z)) x)) |
| 1.0ms | y | @ | 0 | (+ (* t (+ (* -1/3 (/ (* z (* t t)) (* y y))) z)) (+ (* x (neg z)) x)) |
| 1.0ms | z | @ | 0 | (+ (* t (+ (* -1/3 (/ (* z (* t t)) (* y y))) z)) (+ (* x (neg z)) x)) |
| 1.0ms | y | @ | -inf | (* (- (tanh (/ t y)) (/ x y)) y) |
| 1× | batch-egg-rewrite |
| 6 572× | lower-*.f32 |
| 6 548× | lower-*.f64 |
| 3 588× | lower-/.f32 |
| 3 578× | lower-/.f64 |
| 2 642× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 215 |
| 0 | 67 | 179 |
| 1 | 295 | 161 |
| 2 | 2746 | 155 |
| 0 | 8845 | 153 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) |
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) z x) |
(-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) |
(tanh.f64 (/.f64 t y)) |
(*.f64 z t) |
(/.f64 (*.f64 y (*.f64 z (-.f64 t x))) y) |
(+.f64 (/.f64 (*.f64 y (*.f64 z (-.f64 t x))) y) x) |
(*.f64 y (*.f64 z (-.f64 t x))) |
(*.f64 z (-.f64 t x)) |
(fma.f64 t (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 z (*.f64 t t)) (*.f64 y y)) z) (fma.f64 x (neg.f64 z) x)) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 z (*.f64 t t)) (*.f64 y y)) z) |
(/.f64 (*.f64 z (*.f64 t t)) (*.f64 y y)) |
(*.f64 z (*.f64 t t)) |
(/.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))))) |
(*.f64 (*.f64 y z) (/.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)))))) |
(+.f64 x (*.f64 (*.f64 y z) (/.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))))))) |
(*.f64 y z) |
(*.f64 y (fma.f64 t t (*.f64 x (+.f64 t x)))) |
(fma.f64 t t (*.f64 x (+.f64 t x))) |
| Outputs |
|---|
(+.f64 (*.f64 y (tanh.f64 (/.f64 t y))) (*.f64 y (/.f64 x (neg.f64 y)))) |
(+.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) (*.f64 (/.f64 x (neg.f64 y)) y)) |
(fma.f64 y (tanh.f64 (/.f64 t y)) (*.f64 y (/.f64 x (neg.f64 y)))) |
(fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (/.f64 x (neg.f64 y)) y)) |
(/.f64 (*.f64 y (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (fma.f64 (/.f64 x y) (+.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 y (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (/.f64 (*.f64 x x) (*.f64 y y)))) (+.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) y) (fma.f64 (/.f64 x y) (+.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (/.f64 (*.f64 x x) (*.f64 y y))) y) (+.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))) |
(*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))) |
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) |
(+.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z))) |
(+.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z)) x) |
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z)) #s(literal 2 binary64)) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z) (neg.f64 x)))) |
(fma.f64 y (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) z) x) |
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z) x) |
(fma.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))) z x) |
(fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))) x) |
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) x) |
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) z) y x) |
(fma.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))) y x) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z))) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t 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)) (/.f64 x y)) (*.f64 y z)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z) (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t 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)) (/.f64 x y)) (*.f64 y z)) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z))) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) (*.f64 y z)) #s(literal 2 binary64)))) |
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(pow.f64 (/.f64 (fma.f64 y (*.f64 z (/.f64 (-.f64 t x) y)) (neg.f64 x)) (-.f64 (/.f64 (*.f64 (*.f64 y (*.f64 z (-.f64 t x))) (*.f64 y (*.f64 z (-.f64 t x)))) (*.f64 y y)) (*.f64 x x))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 x (*.f64 x x) (/.f64 (*.f64 (*.f64 y (*.f64 z (-.f64 t x))) (*.f64 (*.f64 y (*.f64 z (-.f64 t x))) (*.f64 y (*.f64 z (-.f64 t x))))) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 z (/.f64 (-.f64 t x) y))) (fma.f64 y (*.f64 z (/.f64 (-.f64 t x) y)) (neg.f64 x)) (*.f64 x x)))) |
(*.f64 (fma.f64 x (*.f64 x x) (/.f64 (*.f64 (*.f64 y (*.f64 z (-.f64 t x))) (*.f64 (*.f64 y (*.f64 z (-.f64 t x))) (*.f64 y (*.f64 z (-.f64 t x))))) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 y (*.f64 z (/.f64 (-.f64 t x) y)))) (/.f64 (*.f64 (*.f64 y (*.f64 z (-.f64 t x))) (*.f64 y (*.f64 z (-.f64 t x)))) (*.f64 y y))))) |
(*.f64 (-.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 y (*.f64 z (-.f64 t x))) (*.f64 y (*.f64 z (-.f64 t x)))) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (*.f64 z (/.f64 (-.f64 t x) y)))))) |
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 y (*.f64 z (-.f64 t x))) (*.f64 y (*.f64 z (-.f64 t x)))) (*.f64 y y)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (/.f64 (-.f64 t x) y)) (neg.f64 x)))) |
(*.f64 y z) |
(*.f64 z y) |
(+.f64 (*.f64 t (*.f64 t y)) (*.f64 y (*.f64 x (+.f64 t x)))) |
(+.f64 (*.f64 y (*.f64 x (+.f64 t x))) (*.f64 t (*.f64 t y))) |
(fma.f64 t (*.f64 t y) (*.f64 y (*.f64 x (+.f64 t x)))) |
(fma.f64 y (*.f64 t t) (*.f64 y (*.f64 x (+.f64 t x)))) |
(fma.f64 y (*.f64 x (+.f64 t x)) (*.f64 t (*.f64 t y))) |
(fma.f64 x (*.f64 (+.f64 t x) y) (*.f64 t (*.f64 t y))) |
(fma.f64 (*.f64 t t) y (*.f64 y (*.f64 x (+.f64 t x)))) |
(fma.f64 (+.f64 t x) (*.f64 x y) (*.f64 t (*.f64 t y))) |
(fma.f64 (*.f64 x (+.f64 t x)) y (*.f64 t (*.f64 t y))) |
(fma.f64 (*.f64 y t) t (*.f64 y (*.f64 x (+.f64 t x)))) |
(fma.f64 (*.f64 y x) (+.f64 t x) (*.f64 t (*.f64 t y))) |
(fma.f64 (*.f64 y (+.f64 t x)) x (*.f64 t (*.f64 t y))) |
(/.f64 (fma.f64 (*.f64 t (*.f64 t y)) (*.f64 (*.f64 t (*.f64 t y)) (*.f64 t (*.f64 t y))) (*.f64 (*.f64 (*.f64 x (+.f64 t x)) (*.f64 (*.f64 x (+.f64 t x)) (*.f64 x (+.f64 t x)))) (*.f64 y (*.f64 y y)))) (fma.f64 (*.f64 t (*.f64 t y)) (*.f64 t (*.f64 t y)) (-.f64 (*.f64 (*.f64 y (*.f64 x (+.f64 t x))) (*.f64 y (*.f64 x (+.f64 t x)))) (*.f64 (*.f64 t (*.f64 t y)) (*.f64 y (*.f64 x (+.f64 t x))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 t (*.f64 t y)) (*.f64 t (*.f64 t y))) (*.f64 (*.f64 y (*.f64 x (+.f64 t x))) (*.f64 y (*.f64 x (+.f64 t x))))) (-.f64 (*.f64 t (*.f64 t y)) (*.f64 y (*.f64 x (+.f64 t x))))) |
(/.f64 (*.f64 y (fma.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))) (*.f64 (*.f64 x (+.f64 t x)) (*.f64 (*.f64 x (+.f64 t x)) (*.f64 x (+.f64 t x)))))) (fma.f64 (*.f64 x (+.f64 t x)) (-.f64 (*.f64 x (+.f64 t x)) (*.f64 t t)) (*.f64 t (*.f64 t (*.f64 t t))))) |
(/.f64 (*.f64 y (*.f64 (fma.f64 x (+.f64 t x) (*.f64 t t)) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))))) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))) (*.f64 (*.f64 x (+.f64 t x)) (*.f64 (*.f64 x (+.f64 t x)) (*.f64 x (+.f64 t x))))) y) (fma.f64 (*.f64 x (+.f64 t x)) (-.f64 (*.f64 x (+.f64 t x)) (*.f64 t t)) (*.f64 t (*.f64 t (*.f64 t t))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 x (+.f64 t x) (*.f64 t t)) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))) y) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))) |
(*.f64 y (fma.f64 x (+.f64 t x) (*.f64 t t))) |
(*.f64 (fma.f64 x (+.f64 t x) (*.f64 t t)) y) |
(+.f64 (*.f64 t t) (*.f64 x (+.f64 t x))) |
(+.f64 (*.f64 x (+.f64 t x)) (*.f64 t t)) |
(+.f64 (*.f64 t x) (fma.f64 x x (*.f64 t t))) |
(+.f64 (fma.f64 t t (*.f64 x x)) (*.f64 t x)) |
(+.f64 (fma.f64 t t (*.f64 t x)) (*.f64 x x)) |
(-.f64 (/.f64 (*.f64 t (*.f64 t (*.f64 t t))) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))) (/.f64 (*.f64 (*.f64 x (+.f64 t x)) (*.f64 x (+.f64 t x))) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))))) |
(fma.f64 t t (*.f64 x (+.f64 t x))) |
(fma.f64 t x (fma.f64 x x (*.f64 t t))) |
(fma.f64 x t (fma.f64 x x (*.f64 t t))) |
(fma.f64 x (+.f64 t x) (*.f64 t t)) |
(fma.f64 (+.f64 t x) x (*.f64 t t)) |
(fma.f64 (exp.f64 (log.f64 t)) (exp.f64 (log.f64 t)) (*.f64 x (+.f64 t x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x (+.f64 t x)) (-.f64 (*.f64 x (+.f64 t x)) (*.f64 t t)) (*.f64 t (*.f64 t (*.f64 t t)))) (fma.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))) (*.f64 (*.f64 x (+.f64 t x)) (*.f64 (*.f64 x (+.f64 t x)) (*.f64 x (+.f64 t x))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))) (*.f64 (fma.f64 x (+.f64 t x) (*.f64 t t)) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))))) |
(/.f64 (fma.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))) (*.f64 (*.f64 x (+.f64 t x)) (*.f64 (*.f64 x (+.f64 t x)) (*.f64 x (+.f64 t x))))) (fma.f64 (*.f64 x (+.f64 t x)) (-.f64 (*.f64 x (+.f64 t x)) (*.f64 t t)) (*.f64 t (*.f64 t (*.f64 t t))))) |
(/.f64 (fma.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))) (*.f64 (*.f64 x (+.f64 t x)) (*.f64 (*.f64 x (+.f64 t x)) (*.f64 x (+.f64 t x))))) (fma.f64 (+.f64 t x) (*.f64 x (*.f64 x (+.f64 t x))) (-.f64 (*.f64 t (*.f64 t (*.f64 t t))) (*.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))))) |
(/.f64 (*.f64 (fma.f64 x (+.f64 t x) (*.f64 t t)) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))) (*.f64 (*.f64 x (+.f64 t x)) (*.f64 (*.f64 x (+.f64 t x)) (*.f64 x (+.f64 t x)))))) (neg.f64 (fma.f64 (*.f64 x (+.f64 t x)) (-.f64 (*.f64 x (+.f64 t x)) (*.f64 t t)) (*.f64 t (*.f64 t (*.f64 t t)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x (+.f64 t x) (*.f64 t t)) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))))) (neg.f64 (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (+.f64 t x)) (*.f64 x (+.f64 t x))) (*.f64 t (*.f64 t (*.f64 t t)))) (-.f64 (*.f64 x (+.f64 t x)) (*.f64 t t))) |
(/.f64 (-.f64 (*.f64 (*.f64 t (*.f64 t (*.f64 t t))) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))) (*.f64 (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))) (*.f64 (*.f64 x (+.f64 t x)) (*.f64 x (+.f64 t x))))) (*.f64 (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))))) |
(pow.f64 (/.f64 (fma.f64 (*.f64 x (+.f64 t x)) (-.f64 (*.f64 x (+.f64 t x)) (*.f64 t t)) (*.f64 t (*.f64 t (*.f64 t t)))) (fma.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))) (*.f64 (*.f64 x (+.f64 t x)) (*.f64 (*.f64 x (+.f64 t x)) (*.f64 x (+.f64 t x)))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))) (*.f64 (fma.f64 x (+.f64 t x) (*.f64 t t)) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))) (*.f64 (*.f64 x (+.f64 t x)) (*.f64 (*.f64 x (+.f64 t x)) (*.f64 x (+.f64 t x))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (+.f64 t x)) (-.f64 (*.f64 x (+.f64 t x)) (*.f64 t t)) (*.f64 t (*.f64 t (*.f64 t t)))))) |
(*.f64 (*.f64 (fma.f64 x (+.f64 t x) (*.f64 t t)) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))))) |
| 1× | egg-herbie |
| 9 430× | lower-fma.f64 |
| 9 430× | lower-fma.f32 |
| 4 696× | lower-*.f64 |
| 4 696× | lower-*.f32 |
| 3 448× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 571 | 9274 |
| 1 | 1918 | 8150 |
| 2 | 6737 | 7877 |
| 0 | 8875 | 7603 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 x) |
(+ t (* -1 x)) |
(+ (* -1 x) (* t (+ 1 (* -1/3 (/ (pow t 2) (pow y 2)))))) |
(+ (* -1 x) (* t (+ 1 (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 4))) (* 1/3 (/ 1 (pow y 2)))))))) |
(* y (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y)))) |
(* y (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y)))) |
(* y (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y)))) |
(* y (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y)))) |
(* y (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y)))) |
(* y (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y)))) |
(* y (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y)))) |
(* y (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y)))) |
(* -1 x) |
(+ (* -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))))))))) |
(+ (* -1 x) (* y (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))) |
(- t x) |
(- (+ t (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y))) x) |
(- (+ 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)))) (+ x (* 1/2 (/ (pow t 3) (pow y 2))))) |
(- (+ 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))))) (+ 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 (/ (pow t 3) (pow y 2))))))) |
(* -1 (- (* -1 t) (* -1 x))) |
(+ (* -1 (- (* -1 t) (* -1 x))) (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y))) |
(+ (* -1 (- (* -1 t) (* -1 x))) (* -1 (/ (- (+ (* -1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (/ (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))) y))) (* -1/2 (/ (pow t 3) y))) y))) |
(+ (* -1 (- (* -1 t) (* -1 x))) (* -1 (/ (+ (* -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)))) (* 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)))))))))) y))) (+ (* 1/4 (/ (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2))) y)) (* 1/2 (/ (* t (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))) y)))) y)) (* -1/2 (+ (* -1 (pow t 2)) (pow t 2)))) y))) |
(* 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))))))))) |
(+ (* -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))))))))) |
(* -1 x) |
(* 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)) |
(* 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)) |
(* 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)) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ (* y (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (* y (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (* y (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))) x))))) |
(+ x (* -1 (* x z))) |
(+ x (+ (* -1 (* x z)) (* t z))) |
(+ x (+ (* -1 (* x z)) (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))))) |
(+ x (+ (* -1 (* x z)) (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))))) |
(+ x (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y)))))) |
(+ x (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y)))))) |
(+ x (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y)))))) |
(+ x (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y)))))) |
(+ x (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y)))))) |
(+ x (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y)))))) |
(+ x (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y)))))) |
(+ x (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y)))))) |
(+ x (* -1 (* x z))) |
(+ x (+ (* -1 (* x 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 (* x 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 (* x 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 (* z (- t x))) |
(+ x (+ (* 1/2 (/ (* z (+ (* -1 (pow t 2)) (pow t 2))) y)) (* z (- t x)))) |
(+ x (+ (* 1/2 (/ (* z (+ (* -1 (pow t 2)) (pow t 2))) y)) (+ (* z (- t x)) (/ (* 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 t 3)))) (pow y 2))))) |
(+ x (+ (* 1/2 (/ (* z (+ (* -1 (pow t 2)) (pow t 2))) y)) (+ (* z (- t x)) (+ (/ (* z (- (* 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))))))) (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 t 3)))) (pow y 2)))))) |
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(+ (* -1 (* x z)) (* t z)) |
(+ (* -1 (* x z)) (* t z)) |
(* -1 (* x z)) |
(* x (+ (* -1 z) (/ (* t z) x))) |
(* x (+ (* -1 z) (/ (* t z) x))) |
(* x (+ (* -1 z) (/ (* t z) x))) |
(* -1 (* x z)) |
(* -1 (* x (+ z (* -1 (/ (* t z) x))))) |
(* -1 (* x (+ z (* -1 (/ (* t z) x))))) |
(* -1 (* x (+ z (* -1 (/ (* t z) x))))) |
(+ x (* -1 (* x z))) |
(+ x (+ (* -1 (* x z)) (* t z))) |
(+ x (+ (* -1 (* x z)) (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))))) |
(+ x (+ (* -1 (* x z)) (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))))) |
(* -1/3 (/ (* (pow t 3) z) (pow y 2))) |
(* (pow t 3) (+ (* -1/3 (/ z (pow y 2))) (/ z (pow t 2)))) |
(* (pow t 3) (+ (* -1 (/ (* x z) (pow t 3))) (+ (* -1/3 (/ z (pow y 2))) (+ (/ x (pow t 3)) (/ z (pow t 2)))))) |
(* (pow t 3) (+ (* -1 (/ (* x z) (pow t 3))) (+ (* -1/3 (/ z (pow y 2))) (+ (/ x (pow t 3)) (/ z (pow t 2)))))) |
(* -1/3 (/ (* (pow t 3) z) (pow y 2))) |
(* -1 (* (pow t 3) (+ (* -1 (/ z (pow t 2))) (* 1/3 (/ z (pow y 2)))))) |
(* -1 (* (pow t 3) (+ (* -1 (/ z (pow t 2))) (+ (* -1 (/ (+ x (* -1 (* x z))) (pow t 3))) (* 1/3 (/ z (pow y 2))))))) |
(* -1 (* (pow t 3) (+ (* -1 (/ z (pow t 2))) (+ (* -1 (/ (+ x (* -1 (* x z))) (pow t 3))) (* 1/3 (/ z (pow y 2))))))) |
x |
(+ x (* z (+ (* -1 x) (* t (+ 1 (* -1/3 (/ (pow t 2) (pow y 2)))))))) |
(+ x (* z (+ (* -1 x) (* t (+ 1 (* -1/3 (/ (pow t 2) (pow y 2)))))))) |
(+ x (* z (+ (* -1 x) (* t (+ 1 (* -1/3 (/ (pow t 2) (pow y 2)))))))) |
(* z (+ (* -1 x) (* t (+ 1 (* -1/3 (/ (pow t 2) (pow y 2))))))) |
(* z (+ (* -1 x) (+ (* t (+ 1 (* -1/3 (/ (pow t 2) (pow y 2))))) (/ x z)))) |
(* z (+ (* -1 x) (+ (* t (+ 1 (* -1/3 (/ (pow t 2) (pow y 2))))) (/ x z)))) |
(* z (+ (* -1 x) (+ (* t (+ 1 (* -1/3 (/ (pow t 2) (pow y 2))))) (/ x z)))) |
(* -1 (* z (+ x (* t (- (* 1/3 (/ (pow t 2) (pow y 2))) 1))))) |
(* -1 (* z (+ x (+ (* -1 (/ x z)) (* t (- (* 1/3 (/ (pow t 2) (pow y 2))) 1)))))) |
(* -1 (* z (+ x (+ (* -1 (/ x z)) (* t (- (* 1/3 (/ (pow t 2) (pow y 2))) 1)))))) |
(* -1 (* z (+ x (+ (* -1 (/ x z)) (* t (- (* 1/3 (/ (pow t 2) (pow y 2))) 1)))))) |
(* -1/3 (/ (* (pow t 3) z) (pow y 2))) |
(/ (+ (* -1/3 (* (pow t 3) z)) (* (pow y 2) (+ x (+ (* -1 (* x z)) (* t z))))) (pow y 2)) |
(/ (+ (* -1/3 (* (pow t 3) z)) (* (pow y 2) (+ x (+ (* -1 (* x z)) (* t z))))) (pow y 2)) |
(/ (+ (* -1/3 (* (pow t 3) z)) (* (pow y 2) (+ x (+ (* -1 (* x z)) (* t z))))) (pow y 2)) |
(+ x (+ (* -1 (* x z)) (* t z))) |
(+ x (+ (* -1 (* x z)) (+ (* -1/3 (/ (* (pow t 3) z) (pow y 2))) (* t z)))) |
(+ x (+ (* -1 (* x z)) (+ (* -1/3 (/ (* (pow t 3) z) (pow y 2))) (* t z)))) |
(+ x (+ (* -1 (* x z)) (+ (* -1/3 (/ (* (pow t 3) z) (pow y 2))) (* t z)))) |
(+ x (+ (* -1 (* x z)) (* t z))) |
(+ x (+ (* -1 (* x z)) (+ (* -1/3 (/ (* (pow t 3) z) (pow y 2))) (* t z)))) |
(+ x (+ (* -1 (* x z)) (+ (* -1/3 (/ (* (pow t 3) z) (pow y 2))) (* t z)))) |
(+ x (+ (* -1 (* x z)) (+ (* -1/3 (/ (* (pow t 3) z) (pow y 2))) (* t z)))) |
(* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) |
(+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* x (+ 1 (* -1 z)))) |
(+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* x (+ 1 (* -1 z)))) |
(+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* x (+ 1 (* -1 z)))) |
(* x (+ 1 (* -1 z))) |
(* x (+ 1 (+ (* -1 z) (/ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) x)))) |
(* x (+ 1 (+ (* -1 z) (/ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) x)))) |
(* x (+ 1 (+ (* -1 z) (/ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) x)))) |
(* -1 (* x (- z 1))) |
(* -1 (* x (- (+ z (* -1 (/ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) x))) 1))) |
(* -1 (* x (- (+ z (* -1 (/ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) x))) 1))) |
(* -1 (* x (- (+ z (* -1 (/ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) x))) 1))) |
(* z (+ 1 (* -1/3 (/ (pow t 2) (pow y 2))))) |
(* z (+ 1 (* -1/3 (/ (pow t 2) (pow y 2))))) |
(* z (+ 1 (* -1/3 (/ (pow t 2) (pow y 2))))) |
(* z (+ 1 (* -1/3 (/ (pow t 2) (pow y 2))))) |
(* z (+ 1 (* -1/3 (/ (pow t 2) (pow y 2))))) |
(* z (+ 1 (* -1/3 (/ (pow t 2) (pow y 2))))) |
(* z (+ 1 (* -1/3 (/ (pow t 2) (pow y 2))))) |
(* z (+ 1 (* -1/3 (/ (pow t 2) (pow y 2))))) |
(* -1 (* z (- (* 1/3 (/ (pow t 2) (pow y 2))) 1))) |
(* -1 (* z (- (* 1/3 (/ (pow t 2) (pow y 2))) 1))) |
(* -1 (* z (- (* 1/3 (/ (pow t 2) (pow y 2))) 1))) |
(* -1 (* z (- (* 1/3 (/ (pow t 2) (pow y 2))) 1))) |
z |
(+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2)))) |
(+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2)))) |
(+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2)))) |
(* -1/3 (/ (* (pow t 2) z) (pow y 2))) |
(* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (/ z (pow t 2)))) |
(* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (/ z (pow t 2)))) |
(* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (/ z (pow t 2)))) |
(* -1/3 (/ (* (pow t 2) z) (pow y 2))) |
(* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (/ z (pow t 2)))) |
(* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (/ z (pow t 2)))) |
(* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (/ z (pow t 2)))) |
(* -1/3 (/ (* (pow t 2) z) (pow y 2))) |
(/ (+ (* -1/3 (* (pow t 2) z)) (* (pow y 2) z)) (pow y 2)) |
(/ (+ (* -1/3 (* (pow t 2) z)) (* (pow y 2) z)) (pow y 2)) |
(/ (+ (* -1/3 (* (pow t 2) z)) (* (pow y 2) z)) (pow y 2)) |
z |
(+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2)))) |
(+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2)))) |
(+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2)))) |
z |
(+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2)))) |
(+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2)))) |
(+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2)))) |
(/ (* (pow t 2) z) (pow y 2)) |
(/ (* (pow t 2) z) (pow y 2)) |
(/ (* (pow t 2) z) (pow y 2)) |
(/ (* (pow t 2) z) (pow y 2)) |
(/ (* (pow t 2) z) (pow y 2)) |
(/ (* (pow t 2) z) (pow y 2)) |
(/ (* (pow t 2) z) (pow y 2)) |
(/ (* (pow t 2) z) (pow y 2)) |
(/ (* (pow t 2) z) (pow y 2)) |
(/ (* (pow t 2) z) (pow y 2)) |
(/ (* (pow t 2) z) (pow y 2)) |
(/ (* (pow t 2) z) (pow y 2)) |
(/ (* (pow t 2) z) (pow y 2)) |
(/ (* (pow t 2) z) (pow y 2)) |
(/ (* (pow t 2) z) (pow y 2)) |
(/ (* (pow t 2) z) (pow y 2)) |
(/ (* (pow t 2) z) (pow y 2)) |
(/ (* (pow t 2) z) (pow y 2)) |
(/ (* (pow t 2) z) (pow y 2)) |
(/ (* (pow t 2) z) (pow y 2)) |
(/ (* (pow t 2) z) (pow y 2)) |
(/ (* (pow t 2) z) (pow y 2)) |
(/ (* (pow t 2) z) (pow y 2)) |
(/ (* (pow t 2) z) (pow y 2)) |
(/ (* (pow t 2) z) (pow y 2)) |
(/ (* (pow t 2) z) (pow y 2)) |
(/ (* (pow t 2) z) (pow y 2)) |
(/ (* (pow t 2) z) (pow y 2)) |
(/ (* (pow t 2) z) (pow y 2)) |
(/ (* (pow t 2) z) (pow y 2)) |
(/ (* (pow t 2) z) (pow y 2)) |
(/ (* (pow t 2) z) (pow y 2)) |
(/ (* (pow t 2) z) (pow y 2)) |
(/ (* (pow t 2) z) (pow y 2)) |
(/ (* (pow t 2) z) (pow y 2)) |
(/ (* (pow t 2) z) (pow y 2)) |
(* (pow t 2) z) |
(* (pow t 2) z) |
(* (pow t 2) z) |
(* (pow t 2) z) |
(* (pow t 2) z) |
(* (pow t 2) z) |
(* (pow t 2) z) |
(* (pow t 2) z) |
(* (pow t 2) z) |
(* (pow t 2) z) |
(* (pow t 2) z) |
(* (pow t 2) z) |
(* (pow t 2) z) |
(* (pow t 2) z) |
(* (pow t 2) z) |
(* (pow t 2) z) |
(* (pow t 2) z) |
(* (pow t 2) z) |
(* (pow t 2) z) |
(* (pow t 2) z) |
(* (pow t 2) z) |
(* (pow t 2) z) |
(* (pow t 2) z) |
(* (pow t 2) z) |
(* -1 (/ x y)) |
(+ (* -1 (/ x y)) (/ t y)) |
(+ (* -1 (/ x y)) (/ t y)) |
(+ (* -1 (/ x y)) (/ t y)) |
(/ t y) |
(* t (+ (* -1 (/ x (* t y))) (/ 1 y))) |
(* t (+ (* -1 (/ x (* t y))) (/ 1 y))) |
(* t (+ (* -1 (/ x (* t y))) (/ 1 y))) |
(/ t y) |
(* -1 (* t (- (/ x (* t y)) (/ 1 y)))) |
(* -1 (* t (- (/ x (* t y)) (/ 1 y)))) |
(* -1 (* t (- (/ x (* t y)) (/ 1 y)))) |
(/ t y) |
(+ (* -1 (/ x y)) (/ t y)) |
(+ (* -1 (/ x y)) (/ t y)) |
(+ (* -1 (/ x y)) (/ t y)) |
(* -1 (/ x y)) |
(* x (- (/ t (* x y)) (/ 1 y))) |
(* x (- (/ t (* x y)) (/ 1 y))) |
(* x (- (/ t (* x y)) (/ 1 y))) |
(* -1 (/ x y)) |
(* -1 (* x (+ (* -1 (/ t (* x y))) (/ 1 y)))) |
(* -1 (* x (+ (* -1 (/ t (* x y))) (/ 1 y)))) |
(* -1 (* x (+ (* -1 (/ t (* x y))) (/ 1 y)))) |
(/ (- 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) y) |
(* z (- t x)) |
(* z (- t x)) |
(* z (- t x)) |
(* z (- t x)) |
(* z (- t x)) |
(* z (- t x)) |
(* z (- t x)) |
(* z (- t x)) |
(* z (- t x)) |
(* z (- t x)) |
(* z (- t x)) |
(* z (- t x)) |
(* z (- t x)) |
(* z (- t x)) |
(* z (- t x)) |
(* z (- t x)) |
(* z (- t x)) |
(* z (- t x)) |
(* z (- t x)) |
(* z (- t x)) |
(* z (- t x)) |
(* z (- t x)) |
(* z (- t x)) |
(* z (- t x)) |
(* -1 (* x z)) |
(+ (* -1 (* x z)) (* t z)) |
(+ (* -1 (* x z)) (* t z)) |
(+ (* -1 (* x z)) (* t z)) |
(* t z) |
(* t (+ z (* -1 (/ (* x z) t)))) |
(* t (+ z (* -1 (/ (* x z) t)))) |
(* t (+ z (* -1 (/ (* x z) t)))) |
(* t z) |
(* -1 (* t (+ (* -1 z) (/ (* x z) t)))) |
(* -1 (* t (+ (* -1 z) (/ (* x z) t)))) |
(* -1 (* t (+ (* -1 z) (/ (* x z) t)))) |
(* t z) |
(+ (* -1 (* x z)) (* t z)) |
(+ (* -1 (* x z)) (* t z)) |
(+ (* -1 (* x z)) (* t z)) |
(* -1 (* x z)) |
(* x (+ (* -1 z) (/ (* t z) x))) |
(* x (+ (* -1 z) (/ (* t z) x))) |
(* x (+ (* -1 z) (/ (* t z) x))) |
(* -1 (* x z)) |
(* -1 (* x (+ z (* -1 (/ (* t z) x))))) |
(* -1 (* x (+ z (* -1 (/ (* t z) x))))) |
(* -1 (* x (+ z (* -1 (/ (* t z) x))))) |
(* t z) |
(+ (* t z) (* x (+ 1 (* -1 z)))) |
(+ (* t z) (* x (+ 1 (* -1 z)))) |
(+ (* t z) (* x (+ 1 (* -1 z)))) |
(* x (+ 1 (* -1 z))) |
(* x (+ 1 (+ (* -1 z) (/ (* t z) x)))) |
(* x (+ 1 (+ (* -1 z) (/ (* t z) x)))) |
(* x (+ 1 (+ (* -1 z) (/ (* t z) x)))) |
(* -1 (* x (- z 1))) |
(* -1 (* x (- (+ z (* -1 (/ (* t z) x))) 1))) |
(* -1 (* x (- (+ z (* -1 (/ (* t z) x))) 1))) |
(* -1 (* x (- (+ z (* -1 (/ (* t z) x))) 1))) |
(+ x (* z (- t x))) |
(+ x (* z (- t x))) |
(+ x (* z (- t x))) |
(+ x (* z (- t x))) |
(+ x (* z (- t x))) |
(+ x (* z (- t x))) |
(+ x (* z (- t x))) |
(+ x (* z (- t x))) |
(+ x (* z (- t x))) |
(+ x (* z (- t x))) |
(+ x (* z (- t x))) |
(+ x (* z (- t x))) |
x |
(+ x (* z (- t x))) |
(+ x (* z (- t x))) |
(+ x (* z (- t x))) |
(* z (- t x)) |
(* z (- (+ t (/ x z)) x)) |
(* z (- (+ t (/ x z)) x)) |
(* z (- (+ t (/ x z)) x)) |
(* z (- t x)) |
(* -1 (* z (+ (* -1 (- t x)) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 (- t x)) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 (- t x)) (* -1 (/ x z))))) |
(+ x (* -1 (* x z))) |
(+ x (+ (* -1 (* x z)) (* t z))) |
(+ x (+ (* -1 (* x z)) (* t z))) |
(+ x (+ (* -1 (* x z)) (* t z))) |
(* t z) |
(* t (+ z (+ (* -1 (/ (* x z) t)) (/ x t)))) |
(* t (+ z (+ (* -1 (/ (* x z) t)) (/ x t)))) |
(* t (+ z (+ (* -1 (/ (* x z) t)) (/ x t)))) |
(* t z) |
(* -1 (* t (+ (* -1 z) (* -1 (/ (+ x (* -1 (* x z))) t))))) |
(* -1 (* t (+ (* -1 z) (* -1 (/ (+ x (* -1 (* x z))) t))))) |
(* -1 (* t (+ (* -1 z) (* -1 (/ (+ x (* -1 (* x z))) t))))) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y (+ (* x (+ t x)) (pow t 2))) |
(* y (+ (* x (+ t x)) (pow t 2))) |
(* y (+ (* x (+ t x)) (pow t 2))) |
(* y (+ (* x (+ t x)) (pow t 2))) |
(* y (+ (* x (+ t x)) (pow t 2))) |
(* y (+ (* x (+ t x)) (pow t 2))) |
(* y (+ (* x (+ t x)) (pow t 2))) |
(* y (+ (* x (+ t x)) (pow t 2))) |
(* y (+ (* x (+ t x)) (pow t 2))) |
(* y (+ (* x (+ t x)) (pow t 2))) |
(* y (+ (* x (+ t x)) (pow t 2))) |
(* y (+ (* x (+ t x)) (pow t 2))) |
(* (pow x 2) y) |
(+ (* t (* x y)) (* (pow x 2) y)) |
(+ (* t (+ (* t y) (* x y))) (* (pow x 2) y)) |
(+ (* t (+ (* t y) (* x y))) (* (pow x 2) y)) |
(* (pow t 2) y) |
(* (pow t 2) (+ y (/ (* x y) t))) |
(* (pow t 2) (+ y (+ (/ (* x y) t) (/ (* (pow x 2) y) (pow t 2))))) |
(* (pow t 2) (+ y (+ (/ (* x y) t) (/ (* (pow x 2) y) (pow t 2))))) |
(* (pow t 2) y) |
(* (pow t 2) (+ y (/ (* x y) t))) |
(* (pow t 2) (+ y (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (* (pow x 2) y) t))) t)))) |
(* (pow t 2) (+ y (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (* (pow x 2) y) t))) t)))) |
(* (pow t 2) y) |
(+ (* t (* x y)) (* (pow t 2) y)) |
(+ (* x (+ (* t y) (* x y))) (* (pow t 2) y)) |
(+ (* x (+ (* t y) (* x y))) (* (pow t 2) y)) |
(* (pow x 2) y) |
(* (pow x 2) (+ y (/ (* t y) x))) |
(* (pow x 2) (+ y (+ (/ (* t y) x) (/ (* (pow t 2) y) (pow x 2))))) |
(* (pow x 2) (+ y (+ (/ (* t y) x) (/ (* (pow t 2) y) (pow x 2))))) |
(* (pow x 2) y) |
(* (pow x 2) (+ y (/ (* t y) x))) |
(* (pow x 2) (+ y (* -1 (/ (+ (* -1 (* t y)) (* -1 (/ (* (pow t 2) y) x))) x)))) |
(* (pow x 2) (+ y (* -1 (/ (+ (* -1 (* t y)) (* -1 (/ (* (pow t 2) y) x))) x)))) |
(pow x 2) |
(+ (* t x) (pow x 2)) |
(+ (* t (+ t x)) (pow x 2)) |
(+ (* t (+ t x)) (pow x 2)) |
(pow t 2) |
(* (pow t 2) (+ 1 (/ x t))) |
(* (pow t 2) (+ 1 (+ (/ x t) (/ (pow x 2) (pow t 2))))) |
(* (pow t 2) (+ 1 (+ (/ x t) (/ (pow x 2) (pow t 2))))) |
(pow t 2) |
(* (pow t 2) (+ 1 (/ x t))) |
(* (pow t 2) (+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (pow x 2) t))) t)))) |
(* (pow t 2) (+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (pow x 2) t))) t)))) |
(pow t 2) |
(+ (* t x) (pow t 2)) |
(+ (* x (+ t x)) (pow t 2)) |
(+ (* x (+ t x)) (pow t 2)) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ t x))) |
(* (pow x 2) (+ 1 (+ (/ t x) (/ (pow t 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (+ (/ t x) (/ (pow t 2) (pow x 2))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ t x))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 t) (* -1 (/ (pow t 2) x))) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 t) (* -1 (/ (pow t 2) x))) x)))) |
| Outputs |
|---|
(* -1 x) |
(neg.f64 x) |
(+ t (* -1 x)) |
(-.f64 t x) |
(+ (* -1 x) (* t (+ 1 (* -1/3 (/ (pow t 2) (pow y 2)))))) |
(-.f64 (fma.f64 t (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 t t)) (*.f64 y y)) t) x) |
(+ (* -1 x) (* t (+ 1 (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 4))) (* 1/3 (/ 1 (pow y 2)))))))) |
(-.f64 (fma.f64 t (*.f64 (*.f64 t t) (fma.f64 #s(literal 2/15 binary64) (/.f64 (*.f64 t t) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal -1/3 binary64) (*.f64 y y)))) t) x) |
(* y (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y)))) |
(*.f64 y (-.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (/.f64 x y))) |
(* y (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y)))) |
(*.f64 y (-.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (/.f64 x y))) |
(* y (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y)))) |
(*.f64 y (-.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (/.f64 x y))) |
(* y (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y)))) |
(*.f64 y (-.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (/.f64 x y))) |
(* y (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y)))) |
(*.f64 y (-.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (/.f64 x y))) |
(* y (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y)))) |
(*.f64 y (-.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (/.f64 x y))) |
(* y (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ x y)))) |
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(* y (+ (* x (+ t x)) (pow t 2))) |
(*.f64 y (fma.f64 x (+.f64 x t) (*.f64 t t))) |
(* y (+ (* x (+ t x)) (pow t 2))) |
(*.f64 y (fma.f64 x (+.f64 x t) (*.f64 t t))) |
(* y (+ (* x (+ t x)) (pow t 2))) |
(*.f64 y (fma.f64 x (+.f64 x t) (*.f64 t t))) |
(* y (+ (* x (+ t x)) (pow t 2))) |
(*.f64 y (fma.f64 x (+.f64 x t) (*.f64 t t))) |
(* y (+ (* x (+ t x)) (pow t 2))) |
(*.f64 y (fma.f64 x (+.f64 x t) (*.f64 t t))) |
(* y (+ (* x (+ t x)) (pow t 2))) |
(*.f64 y (fma.f64 x (+.f64 x t) (*.f64 t t))) |
(* y (+ (* x (+ t x)) (pow t 2))) |
(*.f64 y (fma.f64 x (+.f64 x t) (*.f64 t t))) |
(* y (+ (* x (+ t x)) (pow t 2))) |
(*.f64 y (fma.f64 x (+.f64 x t) (*.f64 t t))) |
(* y (+ (* x (+ t x)) (pow t 2))) |
(*.f64 y (fma.f64 x (+.f64 x t) (*.f64 t t))) |
(* y (+ (* x (+ t x)) (pow t 2))) |
(*.f64 y (fma.f64 x (+.f64 x t) (*.f64 t t))) |
(* y (+ (* x (+ t x)) (pow t 2))) |
(*.f64 y (fma.f64 x (+.f64 x t) (*.f64 t t))) |
(* y (+ (* x (+ t x)) (pow t 2))) |
(*.f64 y (fma.f64 x (+.f64 x t) (*.f64 t t))) |
(* (pow x 2) y) |
(*.f64 x (*.f64 x y)) |
(+ (* t (* x y)) (* (pow x 2) y)) |
(*.f64 y (*.f64 x (+.f64 x t))) |
(+ (* t (+ (* t y) (* x y))) (* (pow x 2) y)) |
(*.f64 y (fma.f64 x (+.f64 x t) (*.f64 t t))) |
(+ (* t (+ (* t y) (* x y))) (* (pow x 2) y)) |
(*.f64 y (fma.f64 x (+.f64 x t) (*.f64 t t))) |
(* (pow t 2) y) |
(*.f64 t (*.f64 t y)) |
(* (pow t 2) (+ y (/ (* x y) t))) |
(*.f64 (*.f64 (fma.f64 x (/.f64 y t) y) t) t) |
(* (pow t 2) (+ y (+ (/ (* x y) t) (/ (* (pow x 2) y) (pow t 2))))) |
(*.f64 (*.f64 t t) (fma.f64 x (/.f64 y t) (fma.f64 (*.f64 x x) (/.f64 y (*.f64 t t)) y))) |
(* (pow t 2) (+ y (+ (/ (* x y) t) (/ (* (pow x 2) y) (pow t 2))))) |
(*.f64 (*.f64 t t) (fma.f64 x (/.f64 y t) (fma.f64 (*.f64 x x) (/.f64 y (*.f64 t t)) y))) |
(* (pow t 2) y) |
(*.f64 t (*.f64 t y)) |
(* (pow t 2) (+ y (/ (* x y) t))) |
(*.f64 (*.f64 (fma.f64 x (/.f64 y t) y) t) t) |
(* (pow t 2) (+ y (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (* (pow x 2) y) t))) t)))) |
(*.f64 (*.f64 t t) (+.f64 y (/.f64 (fma.f64 x (/.f64 (*.f64 x y) t) (*.f64 x y)) t))) |
(* (pow t 2) (+ y (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (* (pow x 2) y) t))) t)))) |
(*.f64 (*.f64 t t) (+.f64 y (/.f64 (fma.f64 x (/.f64 (*.f64 x y) t) (*.f64 x y)) t))) |
(* (pow t 2) y) |
(*.f64 t (*.f64 t y)) |
(+ (* t (* x y)) (* (pow t 2) y)) |
(*.f64 y (*.f64 t (+.f64 x t))) |
(+ (* x (+ (* t y) (* x y))) (* (pow t 2) y)) |
(*.f64 y (fma.f64 x (+.f64 x t) (*.f64 t t))) |
(+ (* x (+ (* t y) (* x y))) (* (pow t 2) y)) |
(*.f64 y (fma.f64 x (+.f64 x t) (*.f64 t t))) |
(* (pow x 2) y) |
(*.f64 x (*.f64 x y)) |
(* (pow x 2) (+ y (/ (* t y) x))) |
(*.f64 x (*.f64 x (fma.f64 y (/.f64 t x) y))) |
(* (pow x 2) (+ y (+ (/ (* t y) x) (/ (* (pow t 2) y) (pow x 2))))) |
(*.f64 (*.f64 x x) (fma.f64 t (/.f64 y x) (fma.f64 (*.f64 t t) (/.f64 y (*.f64 x x)) y))) |
(* (pow x 2) (+ y (+ (/ (* t y) x) (/ (* (pow t 2) y) (pow x 2))))) |
(*.f64 (*.f64 x x) (fma.f64 t (/.f64 y x) (fma.f64 (*.f64 t t) (/.f64 y (*.f64 x x)) y))) |
(* (pow x 2) y) |
(*.f64 x (*.f64 x y)) |
(* (pow x 2) (+ y (/ (* t y) x))) |
(*.f64 x (*.f64 x (fma.f64 y (/.f64 t x) y))) |
(* (pow x 2) (+ y (* -1 (/ (+ (* -1 (* t y)) (* -1 (/ (* (pow t 2) y) x))) x)))) |
(*.f64 (*.f64 x x) (+.f64 y (/.f64 (fma.f64 t y (*.f64 y (/.f64 (*.f64 t t) x))) x))) |
(* (pow x 2) (+ y (* -1 (/ (+ (* -1 (* t y)) (* -1 (/ (* (pow t 2) y) x))) x)))) |
(*.f64 (*.f64 x x) (+.f64 y (/.f64 (fma.f64 t y (*.f64 y (/.f64 (*.f64 t t) x))) x))) |
(pow x 2) |
(*.f64 x x) |
(+ (* t x) (pow x 2)) |
(*.f64 x (+.f64 x t)) |
(+ (* t (+ t x)) (pow x 2)) |
(fma.f64 x (+.f64 x t) (*.f64 t t)) |
(+ (* t (+ t x)) (pow x 2)) |
(fma.f64 x (+.f64 x t) (*.f64 t t)) |
(pow t 2) |
(*.f64 t t) |
(* (pow t 2) (+ 1 (/ x t))) |
(*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (/.f64 x t)))) |
(* (pow t 2) (+ 1 (+ (/ x t) (/ (pow x 2) (pow t 2))))) |
(*.f64 (*.f64 t t) (+.f64 (/.f64 x t) (fma.f64 x (/.f64 x (*.f64 t t)) #s(literal 1 binary64)))) |
(* (pow t 2) (+ 1 (+ (/ x t) (/ (pow x 2) (pow t 2))))) |
(*.f64 (*.f64 t t) (+.f64 (/.f64 x t) (fma.f64 x (/.f64 x (*.f64 t t)) #s(literal 1 binary64)))) |
(pow t 2) |
(*.f64 t t) |
(* (pow t 2) (+ 1 (/ x t))) |
(*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (/.f64 x t)))) |
(* (pow t 2) (+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (pow x 2) t))) t)))) |
(*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (/.f64 x t) x) t))) |
(* (pow t 2) (+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (pow x 2) t))) t)))) |
(*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (/.f64 x t) x) t))) |
(pow t 2) |
(*.f64 t t) |
(+ (* t x) (pow t 2)) |
(*.f64 t (+.f64 x t)) |
(+ (* x (+ t x)) (pow t 2)) |
(fma.f64 x (+.f64 x t) (*.f64 t t)) |
(+ (* x (+ t x)) (pow t 2)) |
(fma.f64 x (+.f64 x t) (*.f64 t t)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ t x))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 t x)))) |
(* (pow x 2) (+ 1 (+ (/ t x) (/ (pow t 2) (pow x 2))))) |
(*.f64 (*.f64 x x) (fma.f64 t (/.f64 t (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 t x)))) |
(* (pow x 2) (+ 1 (+ (/ t x) (/ (pow t 2) (pow x 2))))) |
(*.f64 (*.f64 x x) (fma.f64 t (/.f64 t (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 t x)))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ t x))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 t x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 t) (* -1 (/ (pow t 2) x))) x)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 t (/.f64 t x) t) x))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 t) (* -1 (/ (pow t 2) x))) x)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 t (/.f64 t x) t) x))) |
Compiled 31 891 to 2 449 computations (92.3% saved)
40 alts after pruning (37 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 279 | 22 | 1 301 |
| Fresh | 12 | 15 | 27 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 294 | 40 | 1 334 |
| Status | Accuracy | Program |
|---|---|---|
| 50.2% | (fma.f64 (/.f64 (-.f64 t x) y) (*.f64 y z) x) | |
| 59.4% | (fma.f64 (/.f64 (*.f64 y z) y) (-.f64 t x) x) | |
| 55.3% | (fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y (*.f64 z (-.f64 t x))) x) | |
| ▶ | 71.9% | (fma.f64 (*.f64 (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y) (tanh.f64 (/.f64 t y))) y) z x) |
| 51.6% | (fma.f64 (*.f64 (/.f64 x (neg.f64 y)) y) z x) | |
| 64.2% | (fma.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) y) z x) | |
| 45.6% | (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (-.f64 (neg.f64 x) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (*.f64 x (*.f64 x x)))) (neg.f64 y)) y)) (neg.f64 y))) y) z x) | |
| ✓ | 71.9% | (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) z x) |
| ✓ | 98.4% | (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) |
| 62.1% | (fma.f64 (*.f64 z (-.f64 t x)) (*.f64 y (/.f64 #s(literal 1 binary64) y)) x) | |
| 57.9% | (fma.f64 (neg.f64 x) z x) | |
| 42.7% | (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 t x) (*.f64 (+.f64 t x) (-.f64 t x)))) x) | |
| 31.0% | (fma.f64 z (-.f64 t x) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 2/3 binary64))) (/.f64 z (*.f64 y y)) x)) | |
| ▶ | 28.7% | (fma.f64 z (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x) |
| 19.9% | (/.f64 (fma.f64 y (*.f64 y (fma.f64 (-.f64 t x) z x)) (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 t (*.f64 t t)) z))) (*.f64 y y)) | |
| 2.2% | (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 z (*.f64 x (*.f64 x x)))) (*.f64 y y)) | |
| 57.9% | (-.f64 x (*.f64 x z)) | |
| 49.3% | (+.f64 (/.f64 (*.f64 (*.f64 y (-.f64 t x)) z) y) x) | |
| 53.3% | (+.f64 (/.f64 (*.f64 y (*.f64 x (neg.f64 z))) y) x) | |
| 53.3% | (+.f64 (/.f64 (*.f64 x (*.f64 y (neg.f64 z))) y) x) | |
| 54.9% | (+.f64 (/.f64 (*.f64 t (*.f64 y z)) y) x) | |
| 53.5% | (+.f64 (*.f64 t z) x) | |
| 36.5% | (+.f64 x (*.f64 (*.f64 y z) (/.f64 (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (+.f64 t x)) y))) | |
| 27.9% | (+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y)))) | |
| 29.8% | (+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y)))) | |
| 15.5% | (+.f64 x (*.f64 (*.f64 y z) (/.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (/.f64 (*.f64 (*.f64 (fma.f64 x (+.f64 t x) (*.f64 t t)) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))) y) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))))))) | |
| 15.1% | (+.f64 x (*.f64 (*.f64 y z) (/.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (*.f64 t (*.f64 t y))))) | |
| 20.8% | (+.f64 x (*.f64 (*.f64 y z) (/.f64 (*.f64 (*.f64 x (+.f64 x t)) (-.f64 t x)) (*.f64 y (fma.f64 t t (*.f64 x (+.f64 t x))))))) | |
| 26.1% | (+.f64 x (*.f64 (*.f64 y z) (/.f64 (*.f64 (*.f64 x x) (-.f64 t x)) (*.f64 y (fma.f64 t t (*.f64 x (+.f64 t x))))))) | |
| 24.6% | (+.f64 x (*.f64 (*.f64 y z) (/.f64 (*.f64 (*.f64 t (+.f64 x t)) (-.f64 t x)) (*.f64 y (fma.f64 t t (*.f64 x (+.f64 t x))))))) | |
| 31.6% | (+.f64 x (*.f64 (*.f64 y z) (/.f64 (*.f64 (*.f64 t t) (-.f64 t x)) (*.f64 y (fma.f64 t t (*.f64 x (+.f64 t x))))))) | |
| ▶ | 50.2% | (+.f64 x (*.f64 (*.f64 y z) (/.f64 (neg.f64 x) y))) |
| 48.3% | (+.f64 x (*.f64 (*.f64 y z) (/.f64 t y))) | |
| 65.9% | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.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)))))) | |
| 10.9% | (*.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 t t) (*.f64 y y)) #s(literal 1 binary64)) (*.f64 t z)) | |
| ▶ | 21.1% | (*.f64 (-.f64 (fma.f64 t (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 t t)) (*.f64 y y)) t) x) z) |
| ▶ | 26.8% | (*.f64 (-.f64 t x) z) |
| 16.3% | (*.f64 (*.f64 x (*.f64 x x)) (-.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 z (*.f64 x x)))) | |
| ✓ | 16.0% | (*.f64 z t) |
| 1.7% | (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 t (*.f64 t t)) (/.f64 z (*.f64 y y)))) |
Compiled 1 588 to 894 computations (43.7% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (fma.f64 t t (*.f64 x (+.f64 t x))) |
| ✓ | cost-diff | 0 | (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) |
| ✓ | cost-diff | 0 | (fma.f64 z (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x) |
| ✓ | cost-diff | 3136 | (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 t t)) (*.f64 y y)) |
| ✓ | cost-diff | 0 | (fma.f64 t (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 t t)) (*.f64 y y)) t) |
| ✓ | cost-diff | 0 | (-.f64 (fma.f64 t (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 t t)) (*.f64 y y)) t) x) |
| ✓ | cost-diff | 0 | (*.f64 (-.f64 (fma.f64 t (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 t t)) (*.f64 y y)) t) x) z) |
| ✓ | cost-diff | 0 | (/.f64 (neg.f64 x) y) |
| ✓ | cost-diff | 0 | (*.f64 y z) |
| ✓ | cost-diff | 128 | (+.f64 x (*.f64 (*.f64 y z) (/.f64 (neg.f64 x) y))) |
| ✓ | cost-diff | 1024 | (*.f64 (*.f64 y z) (/.f64 (neg.f64 x) y)) |
| ✓ | cost-diff | 0 | (-.f64 t x) |
| ✓ | cost-diff | 0 | (*.f64 (-.f64 t x) z) |
| ✓ | cost-diff | 0 | (neg.f64 x) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y) (tanh.f64 (/.f64 t y))) y) z x) |
| ✓ | cost-diff | 320 | (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y) (tanh.f64 (/.f64 t y))) |
| ✓ | cost-diff | 704 | (*.f64 (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y) (tanh.f64 (/.f64 t y))) y) |
| 9 292× | lower-fma.f32 |
| 9 282× | lower-fma.f64 |
| 4 072× | lower-*.f32 |
| 4 050× | lower-*.f64 |
| 1 680× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 256 |
| 0 | 64 | 236 |
| 1 | 143 | 231 |
| 2 | 368 | 206 |
| 3 | 1267 | 196 |
| 4 | 2775 | 194 |
| 5 | 6751 | 194 |
| 0 | 8214 | 191 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y) (tanh.f64 (/.f64 t y))) y) z x) |
(*.f64 (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y) (tanh.f64 (/.f64 t y))) y) |
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y) (tanh.f64 (/.f64 t y))) |
(neg.f64 x) |
x |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(tanh.f64 (/.f64 t y)) |
(/.f64 t y) |
t |
z |
(*.f64 (-.f64 t x) z) |
(-.f64 t x) |
t |
x |
z |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (neg.f64 x) y))) |
x |
(*.f64 (*.f64 y z) (/.f64 (neg.f64 x) y)) |
(*.f64 y z) |
y |
z |
(/.f64 (neg.f64 x) y) |
(neg.f64 x) |
(*.f64 (-.f64 (fma.f64 t (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 t t)) (*.f64 y y)) t) x) z) |
(-.f64 (fma.f64 t (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 t t)) (*.f64 y y)) t) x) |
(fma.f64 t (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 t t)) (*.f64 y y)) t) |
t |
(/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 t t)) (*.f64 y y)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 t t)) |
#s(literal -1/3 binary64) |
(*.f64 t t) |
(*.f64 y y) |
y |
x |
z |
(fma.f64 z (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x) |
z |
(*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) |
(*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) |
(fma.f64 t t (*.f64 x (+.f64 t x))) |
t |
(*.f64 x (+.f64 t x)) |
x |
(+.f64 t x) |
(-.f64 t x) |
(/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))) |
#s(literal 1 binary64) |
| Outputs |
|---|
(fma.f64 (*.f64 (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y) (tanh.f64 (/.f64 t y))) y) z x) |
(fma.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) z x) |
(*.f64 (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y) (tanh.f64 (/.f64 t y))) y) |
(fma.f64 y (tanh.f64 (/.f64 t y)) (neg.f64 x)) |
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y) (tanh.f64 (/.f64 t y))) |
(-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) |
(neg.f64 x) |
x |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(tanh.f64 (/.f64 t y)) |
(/.f64 t y) |
t |
z |
(*.f64 (-.f64 t x) z) |
(*.f64 z (-.f64 t x)) |
(-.f64 t x) |
t |
x |
z |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (neg.f64 x) y))) |
(-.f64 x (*.f64 x z)) |
x |
(*.f64 (*.f64 y z) (/.f64 (neg.f64 x) y)) |
(*.f64 (neg.f64 x) z) |
(*.f64 y z) |
y |
z |
(/.f64 (neg.f64 x) y) |
(neg.f64 x) |
(*.f64 (-.f64 (fma.f64 t (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 t t)) (*.f64 y y)) t) x) z) |
(*.f64 z (-.f64 t (fma.f64 (/.f64 t (*.f64 y y)) (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) x))) |
(-.f64 (fma.f64 t (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 t t)) (*.f64 y y)) t) x) |
(-.f64 t (fma.f64 (/.f64 t (*.f64 y y)) (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) x)) |
(fma.f64 t (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 t t)) (*.f64 y y)) t) |
(fma.f64 (*.f64 t t) (/.f64 (*.f64 t #s(literal -1/3 binary64)) (*.f64 y y)) t) |
t |
(/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 t t)) (*.f64 y y)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 t t)) |
#s(literal -1/3 binary64) |
(*.f64 t t) |
(*.f64 y y) |
y |
x |
z |
(fma.f64 z (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x) |
(fma.f64 z (-.f64 t x) x) |
z |
(*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) |
(-.f64 t x) |
(*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) |
(*.f64 (-.f64 t x) (fma.f64 x (+.f64 x t) (*.f64 t t))) |
(fma.f64 t t (*.f64 x (+.f64 t x))) |
(fma.f64 x (+.f64 x t) (*.f64 t t)) |
t |
(*.f64 x (+.f64 t x)) |
(*.f64 x (+.f64 x t)) |
x |
(+.f64 t x) |
(+.f64 x t) |
(-.f64 t x) |
(/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x t) (*.f64 t t))) |
#s(literal 1 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) |
| ✓ | accuracy | 99.0% | (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))) |
| ✓ | accuracy | 96.5% | (fma.f64 t t (*.f64 x (+.f64 t x))) |
| ✓ | accuracy | 36.3% | (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) |
| ✓ | accuracy | 99.7% | (*.f64 #s(literal -1/3 binary64) (*.f64 t t)) |
| ✓ | accuracy | 99.2% | (fma.f64 t (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 t t)) (*.f64 y y)) t) |
| ✓ | accuracy | 97.8% | (*.f64 (-.f64 (fma.f64 t (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 t t)) (*.f64 y y)) t) x) z) |
| ✓ | accuracy | 77.3% | (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 t t)) (*.f64 y y)) |
| ✓ | accuracy | 100.0% | (*.f64 y z) |
| ✓ | accuracy | 100.0% | (neg.f64 x) |
| ✓ | accuracy | 100.0% | (+.f64 x (*.f64 (*.f64 y z) (/.f64 (neg.f64 x) y))) |
| ✓ | accuracy | 79.0% | (*.f64 (*.f64 y z) (/.f64 (neg.f64 x) y)) |
| ✓ | accuracy | 100.0% | (-.f64 t x) |
| ✓ | accuracy | 100.0% | (*.f64 (-.f64 t x) z) |
| ✓ | accuracy | 100.0% | (fma.f64 (*.f64 (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y) (tanh.f64 (/.f64 t y))) y) z x) |
| ✓ | accuracy | 100.0% | (tanh.f64 (/.f64 t y)) |
| ✓ | accuracy | 99.8% | (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y) (tanh.f64 (/.f64 t y))) |
| ✓ | accuracy | 86.0% | (*.f64 (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y) (tanh.f64 (/.f64 t y))) y) |
| 84.0ms | 255× | 0 | valid |
| 1.0ms | 1× | 5 | exit |
Compiled 273 to 39 computations (85.7% saved)
ival-mult: 21.0ms (32.6% of total)ival-div: 12.0ms (18.6% of total)const: 10.0ms (15.5% of total)ival-tanh: 9.0ms (14% of total)ival-add: 8.0ms (12.4% of total)ival-sub: 2.0ms (3.1% of total)ival-neg: 1.0ms (1.6% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y) (tanh.f64 (/.f64 t y))) y) (patch (*.f64 (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y) (tanh.f64 (/.f64 t y))) y) #<representation binary64>) () ()) |
#s(alt (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y) (tanh.f64 (/.f64 t y))) (patch (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y) (tanh.f64 (/.f64 t y))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y) (tanh.f64 (/.f64 t y))) y) z x) (patch (fma.f64 (*.f64 (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y) (tanh.f64 (/.f64 t y))) y) z x) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 t x) z) (patch (*.f64 (-.f64 t x) z) #<representation binary64>) () ()) |
#s(alt (-.f64 t x) (patch (-.f64 t x) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 y z) (/.f64 (neg.f64 x) y)) (patch (*.f64 (*.f64 y z) (/.f64 (neg.f64 x) y)) #<representation binary64>) () ()) |
#s(alt (+.f64 x (*.f64 (*.f64 y z) (/.f64 (neg.f64 x) y))) (patch (+.f64 x (*.f64 (*.f64 y z) (/.f64 (neg.f64 x) y))) #<representation binary64>) () ()) |
#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ()) |
#s(alt (/.f64 (neg.f64 x) y) (patch (/.f64 (neg.f64 x) y) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 (fma.f64 t (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 t t)) (*.f64 y y)) t) x) z) (patch (*.f64 (-.f64 (fma.f64 t (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 t t)) (*.f64 y y)) t) x) z) #<representation binary64>) () ()) |
#s(alt (-.f64 (fma.f64 t (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 t t)) (*.f64 y y)) t) x) (patch (-.f64 (fma.f64 t (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 t t)) (*.f64 y y)) t) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 t (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 t t)) (*.f64 y y)) t) (patch (fma.f64 t (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 t t)) (*.f64 y y)) t) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 t t)) (*.f64 y y)) (patch (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 t t)) (*.f64 y y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) (patch (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) #<representation binary64>) () ()) |
#s(alt (fma.f64 z (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x) (patch (fma.f64 z (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (patch (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 t t (*.f64 x (+.f64 t x))) (patch (fma.f64 t t (*.f64 x (+.f64 t x))) #<representation binary64>) () ()) |
#s(alt (tanh.f64 (/.f64 t y)) (patch (tanh.f64 (/.f64 t y)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -1/3 binary64) (*.f64 t t)) (patch (*.f64 #s(literal -1/3 binary64) (*.f64 t t)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* y (- (/ (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 (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y) (tanh.f64 (/.f64 t y))) y) (patch (*.f64 (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y) (tanh.f64 (/.f64 t y))) y) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 x) (* y (- (/ (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 (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y) (tanh.f64 (/.f64 t y))) y) (patch (*.f64 (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y) (tanh.f64 (/.f64 t y))) y) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 x) (* y (- (/ (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 (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y) (tanh.f64 (/.f64 t y))) y) (patch (*.f64 (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y) (tanh.f64 (/.f64 t y))) y) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 x) (* y (- (/ (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 (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y) (tanh.f64 (/.f64 t y))) y) (patch (*.f64 (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y) (tanh.f64 (/.f64 t y))) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (*.f64 (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y) (tanh.f64 (/.f64 t y))) y) (patch (*.f64 (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y) (tanh.f64 (/.f64 t y))) y) #<representation binary64>) () ())) ()) |
#s(alt (* 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)) (taylor inf x) (#s(alt (*.f64 (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y) (tanh.f64 (/.f64 t y))) y) (patch (*.f64 (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y) (tanh.f64 (/.f64 t y))) y) #<representation binary64>) () ())) ()) |
#s(alt (* 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)) (taylor inf x) (#s(alt (*.f64 (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y) (tanh.f64 (/.f64 t y))) y) (patch (*.f64 (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y) (tanh.f64 (/.f64 t y))) y) #<representation binary64>) () ())) ()) |
#s(alt (* 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)) (taylor inf x) (#s(alt (*.f64 (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y) (tanh.f64 (/.f64 t y))) y) (patch (*.f64 (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y) (tanh.f64 (/.f64 t y))) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y) (tanh.f64 (/.f64 t y))) y) (patch (*.f64 (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y) (tanh.f64 (/.f64 t y))) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (/ (* y (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))) x))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y) (tanh.f64 (/.f64 t y))) y) (patch (*.f64 (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y) (tanh.f64 (/.f64 t y))) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (/ (* y (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))) x))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y) (tanh.f64 (/.f64 t y))) y) (patch (*.f64 (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y) (tanh.f64 (/.f64 t y))) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (/ (* y (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))) x))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y) (tanh.f64 (/.f64 t y))) y) (patch (*.f64 (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y) (tanh.f64 (/.f64 t y))) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 y) (#s(alt (*.f64 (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y) (tanh.f64 (/.f64 t y))) y) (patch (*.f64 (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y) (tanh.f64 (/.f64 t y))) y) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 x) (* y (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))) (taylor 0 y) (#s(alt (*.f64 (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y) (tanh.f64 (/.f64 t y))) y) (patch (*.f64 (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y) (tanh.f64 (/.f64 t y))) y) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 x) (* y (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))) (taylor 0 y) (#s(alt (*.f64 (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y) (tanh.f64 (/.f64 t y))) y) (patch (*.f64 (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y) (tanh.f64 (/.f64 t y))) y) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 x) (* y (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))) (taylor 0 y) (#s(alt (*.f64 (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y) (tanh.f64 (/.f64 t y))) y) (patch (*.f64 (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y) (tanh.f64 (/.f64 t y))) y) #<representation binary64>) () ())) ()) |
#s(alt (+ t (* -1 x)) (taylor inf y) (#s(alt (*.f64 (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y) (tanh.f64 (/.f64 t y))) y) (patch (*.f64 (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y) (tanh.f64 (/.f64 t y))) y) #<representation binary64>) () ())) ()) |
#s(alt (+ t (+ (* -1 x) (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y)))) (taylor inf y) (#s(alt (*.f64 (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y) (tanh.f64 (/.f64 t y))) y) (patch (*.f64 (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y) (tanh.f64 (/.f64 t y))) y) #<representation binary64>) () ())) ()) |
#s(alt (- (+ t (+ (* -1 x) (+ (* 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)))) (taylor inf y) (#s(alt (*.f64 (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y) (tanh.f64 (/.f64 t y))) y) (patch (*.f64 (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y) (tanh.f64 (/.f64 t y))) y) #<representation binary64>) () ())) ()) |
#s(alt (- (+ t (+ (* -1 x) (+ (* 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)))))) (taylor inf y) (#s(alt (*.f64 (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y) (tanh.f64 (/.f64 t y))) y) (patch (*.f64 (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y) (tanh.f64 (/.f64 t y))) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (+ x (* -1 t))) (taylor -inf y) (#s(alt (*.f64 (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y) (tanh.f64 (/.f64 t y))) y) (patch (*.f64 (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y) (tanh.f64 (/.f64 t y))) y) #<representation binary64>) () ())) ()) |
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#s(alt (* -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)) (taylor -inf y) (#s(alt (tanh.f64 (/.f64 t y)) (patch (tanh.f64 (/.f64 t y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (pow t 2)) (taylor 0 t) (#s(alt (*.f64 #s(literal -1/3 binary64) (*.f64 t t)) (patch (*.f64 #s(literal -1/3 binary64) (*.f64 t t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (pow t 2)) (taylor 0 t) (#s(alt (*.f64 #s(literal -1/3 binary64) (*.f64 t t)) (patch (*.f64 #s(literal -1/3 binary64) (*.f64 t t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (pow t 2)) (taylor 0 t) (#s(alt (*.f64 #s(literal -1/3 binary64) (*.f64 t t)) (patch (*.f64 #s(literal -1/3 binary64) (*.f64 t t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (pow t 2)) (taylor 0 t) (#s(alt (*.f64 #s(literal -1/3 binary64) (*.f64 t t)) (patch (*.f64 #s(literal -1/3 binary64) (*.f64 t t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (pow t 2)) (taylor inf t) (#s(alt (*.f64 #s(literal -1/3 binary64) (*.f64 t t)) (patch (*.f64 #s(literal -1/3 binary64) (*.f64 t t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (pow t 2)) (taylor inf t) (#s(alt (*.f64 #s(literal -1/3 binary64) (*.f64 t t)) (patch (*.f64 #s(literal -1/3 binary64) (*.f64 t t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (pow t 2)) (taylor inf t) (#s(alt (*.f64 #s(literal -1/3 binary64) (*.f64 t t)) (patch (*.f64 #s(literal -1/3 binary64) (*.f64 t t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (pow t 2)) (taylor inf t) (#s(alt (*.f64 #s(literal -1/3 binary64) (*.f64 t t)) (patch (*.f64 #s(literal -1/3 binary64) (*.f64 t t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (pow t 2)) (taylor -inf t) (#s(alt (*.f64 #s(literal -1/3 binary64) (*.f64 t t)) (patch (*.f64 #s(literal -1/3 binary64) (*.f64 t t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (pow t 2)) (taylor -inf t) (#s(alt (*.f64 #s(literal -1/3 binary64) (*.f64 t t)) (patch (*.f64 #s(literal -1/3 binary64) (*.f64 t t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (pow t 2)) (taylor -inf t) (#s(alt (*.f64 #s(literal -1/3 binary64) (*.f64 t t)) (patch (*.f64 #s(literal -1/3 binary64) (*.f64 t t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (pow t 2)) (taylor -inf t) (#s(alt (*.f64 #s(literal -1/3 binary64) (*.f64 t t)) (patch (*.f64 #s(literal -1/3 binary64) (*.f64 t t)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow x 2)) (taylor 0 t) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ t (pow x 3))) (/ 1 (pow x 2))) (taylor 0 t) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (- (/ (pow t 2) (pow x 5)) (/ 1 (pow x 3)))) (/ 1 (pow x 2))) (taylor 0 t) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (- (* (pow t 2) (+ (* -1 (/ t (pow x 6))) (/ 1 (pow x 5)))) (/ 1 (pow x 3)))) (/ 1 (pow x 2))) (taylor 0 t) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow t 2)) (taylor inf t) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* -1 (/ x t))) (pow t 2)) (taylor inf t) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) (pow t 2)))) (/ x t)) (pow t 2)) (taylor inf t) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ 1 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 (pow x 3))) (pow t 3)))) (+ (* -1 (/ (pow x 2) (pow t 2))) (+ (/ x t) (/ (pow x 2) (pow t 2))))) (pow t 2)) (taylor inf t) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow t 2)) (taylor -inf t) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* -1 (/ x t))) (pow t 2)) (taylor -inf t) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow x 2) t)) (/ (pow x 2) t)) (* -1 x)) t))) (pow t 2)) (taylor -inf t) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (/ (* x (+ (* -1 (pow x 2)) (pow x 2))) t) (/ (pow x 3) t)) (+ (* -1 (pow x 2)) (pow x 2))) t)) (* -1 x)) t))) (pow t 2)) (taylor -inf t) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow t 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ x (pow t 3))) (/ 1 (pow t 2))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (- (/ (pow x 2) (pow t 5)) (/ 1 (pow t 3)))) (/ 1 (pow t 2))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (- (* (pow x 2) (+ (* -1 (/ x (pow t 6))) (/ 1 (pow t 5)))) (/ 1 (pow t 3)))) (/ 1 (pow t 2))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* -1 (/ t x))) (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ 1 (* -1 (/ (+ (* -1 (pow t 2)) (pow t 2)) (pow x 2)))) (/ t x)) (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ 1 (* -1 (/ (+ (* -1 (* t (+ (* -1 (pow t 2)) (pow t 2)))) (* -1 (pow t 3))) (pow x 3)))) (+ (* -1 (/ (pow t 2) (pow x 2))) (+ (/ t x) (/ (pow t 2) (pow x 2))))) (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* -1 (/ t x))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow t 2) x)) (/ (pow t 2) x)) (* -1 t)) x))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (/ (* t (+ (* -1 (pow t 2)) (pow t 2))) x) (/ (pow t 3) x)) (+ (* -1 (pow t 2)) (pow t 2))) x)) (* -1 t)) x))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))) #<representation binary64>) () ())) ()) |
153 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 19.0ms | t | @ | inf | (* (+ (* (neg x) (/ 1 y)) (tanh (/ t y))) y) |
| 4.0ms | z | @ | inf | (* (* y z) (/ (neg x) y)) |
| 1.0ms | z | @ | 0 | (* (- (+ (* t (/ (* -1/3 (* t t)) (* y y))) t) x) z) |
| 1.0ms | t | @ | inf | (+ (* (* (+ (* (neg x) (/ 1 y)) (tanh (/ t y))) y) z) x) |
| 1.0ms | t | @ | -inf | (+ (* (* (+ (* (neg x) (/ 1 y)) (tanh (/ t y))) y) z) x) |
| 1× | batch-egg-rewrite |
| 5 518× | lower-fma.f32 |
| 5 508× | lower-fma.f64 |
| 4 686× | lower-*.f32 |
| 4 664× | lower-*.f64 |
| 4 430× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 211 |
| 0 | 64 | 186 |
| 1 | 265 | 157 |
| 2 | 2410 | 152 |
| 0 | 8976 | 151 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y) (tanh.f64 (/.f64 t y))) y) |
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y) (tanh.f64 (/.f64 t y))) |
(fma.f64 (*.f64 (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y) (tanh.f64 (/.f64 t y))) y) z x) |
(neg.f64 x) |
(*.f64 (-.f64 t x) z) |
(-.f64 t x) |
(*.f64 (*.f64 y z) (/.f64 (neg.f64 x) y)) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (neg.f64 x) y))) |
(*.f64 y z) |
(/.f64 (neg.f64 x) y) |
(*.f64 (-.f64 (fma.f64 t (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 t t)) (*.f64 y y)) t) x) z) |
(-.f64 (fma.f64 t (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 t t)) (*.f64 y y)) t) x) |
(fma.f64 t (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 t t)) (*.f64 y y)) t) |
(/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 t t)) (*.f64 y y)) |
(*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) |
(fma.f64 z (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x) |
(*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) |
(fma.f64 t t (*.f64 x (+.f64 t x))) |
(tanh.f64 (/.f64 t y)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 t t)) |
(/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))) |
| Outputs |
|---|
(+.f64 (*.f64 y (tanh.f64 (/.f64 t y))) (*.f64 y (/.f64 (neg.f64 x) y))) |
(+.f64 (*.f64 y (/.f64 (neg.f64 x) y)) (*.f64 y (tanh.f64 (/.f64 t y)))) |
(+.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) (*.f64 (/.f64 (neg.f64 x) y) y)) |
(+.f64 (*.f64 (/.f64 (neg.f64 x) y) y) (*.f64 (tanh.f64 (/.f64 t y)) y)) |
(fma.f64 y (tanh.f64 (/.f64 t y)) (*.f64 y (/.f64 (neg.f64 x) y))) |
(fma.f64 y (/.f64 (neg.f64 x) y) (*.f64 y (tanh.f64 (/.f64 t y)))) |
(fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (/.f64 (neg.f64 x) y) y)) |
(fma.f64 (/.f64 (neg.f64 x) y) y (*.f64 (tanh.f64 (/.f64 t y)) y)) |
(/.f64 (*.f64 y (+.f64 (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)))) (fma.f64 (tanh.f64 (/.f64 t y)) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (neg.f64 x) y)) (/.f64 (*.f64 x x) (*.f64 y y)))) |
(/.f64 (*.f64 y (-.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)))) (-.f64 (/.f64 (neg.f64 x) y) (tanh.f64 (/.f64 t y)))) |
(/.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64))) y) (fma.f64 (tanh.f64 (/.f64 t y)) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (neg.f64 x) y)) (/.f64 (*.f64 x x) (*.f64 y y)))) |
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64))) y) (-.f64 (/.f64 (neg.f64 x) y) (tanh.f64 (/.f64 t y)))) |
(/.f64 (neg.f64 (*.f64 y (+.f64 (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (tanh.f64 (/.f64 t y)) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (neg.f64 x) y)) (/.f64 (*.f64 x x) (*.f64 y y))))) |
(/.f64 (neg.f64 (*.f64 y (-.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64))))) (neg.f64 (-.f64 (/.f64 (neg.f64 x) y) (tanh.f64 (/.f64 t y))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64))) y)) (neg.f64 (fma.f64 (tanh.f64 (/.f64 t y)) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (neg.f64 x) y)) (/.f64 (*.f64 x x) (*.f64 y y))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64))) y)) (neg.f64 (-.f64 (/.f64 (neg.f64 x) y) (tanh.f64 (/.f64 t y))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y (tanh.f64 (/.f64 t y))) #s(literal 3 binary64)) (pow.f64 (*.f64 y (/.f64 (neg.f64 x) y)) #s(literal 3 binary64))) (fma.f64 (*.f64 y (tanh.f64 (/.f64 t y))) (*.f64 y (tanh.f64 (/.f64 t y))) (-.f64 (*.f64 (*.f64 y (/.f64 (neg.f64 x) y)) (*.f64 y (/.f64 (neg.f64 x) y))) (*.f64 (*.f64 y (tanh.f64 (/.f64 t y))) (*.f64 y (/.f64 (neg.f64 x) y)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y (/.f64 (neg.f64 x) y)) #s(literal 3 binary64)) (pow.f64 (*.f64 y (tanh.f64 (/.f64 t y))) #s(literal 3 binary64))) (fma.f64 (*.f64 y (/.f64 (neg.f64 x) y)) (*.f64 y (/.f64 (neg.f64 x) y)) (-.f64 (*.f64 (*.f64 y (tanh.f64 (/.f64 t y))) (*.f64 y (tanh.f64 (/.f64 t y)))) (*.f64 (*.f64 y (/.f64 (neg.f64 x) y)) (*.f64 y (tanh.f64 (/.f64 t y))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (neg.f64 x) y) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) (*.f64 (tanh.f64 (/.f64 t y)) y) (-.f64 (*.f64 (*.f64 (/.f64 (neg.f64 x) y) y) (*.f64 (/.f64 (neg.f64 x) y) y)) (*.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) (*.f64 (/.f64 (neg.f64 x) y) y))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (neg.f64 x) y) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (neg.f64 x) y) y) (*.f64 (/.f64 (neg.f64 x) y) y) (-.f64 (*.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) (*.f64 (tanh.f64 (/.f64 t y)) y)) (*.f64 (*.f64 (/.f64 (neg.f64 x) y) y) (*.f64 (tanh.f64 (/.f64 t y)) y))))) |
(*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))) |
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) |
(+.f64 (tanh.f64 (/.f64 t y)) (/.f64 (neg.f64 x) y)) |
(+.f64 (/.f64 (neg.f64 x) y) (tanh.f64 (/.f64 t y))) |
(-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (-.f64 (/.f64 (neg.f64 x) y) (tanh.f64 (/.f64 t y)))) (/.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (-.f64 (/.f64 (neg.f64 x) y) (tanh.f64 (/.f64 t y))))) |
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(/.f64 (neg.f64 (fma.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))) (*.f64 (*.f64 x (+.f64 x t)) (*.f64 (+.f64 x t) (*.f64 x (*.f64 x (+.f64 x t))))))) (neg.f64 (fma.f64 (*.f64 x (+.f64 x t)) (-.f64 (*.f64 x (+.f64 x t)) (*.f64 t t)) (*.f64 t (*.f64 t (*.f64 t t)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))) (*.f64 (*.f64 x (+.f64 x t)) (*.f64 (+.f64 x t) (*.f64 x (*.f64 x (+.f64 x t))))))) (neg.f64 (fma.f64 x (*.f64 (+.f64 x t) (*.f64 x (+.f64 x t))) (-.f64 (*.f64 t (*.f64 t (*.f64 t t))) (*.f64 t (*.f64 t (*.f64 x (+.f64 x t)))))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))) (*.f64 (*.f64 x (+.f64 x t)) (*.f64 (+.f64 x t) (*.f64 x (*.f64 x (+.f64 x t))))))) (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (+.f64 x t)) (-.f64 (*.f64 x (+.f64 x t)) (*.f64 t t)) (*.f64 t (*.f64 t (*.f64 t t))))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) (-.f64 (*.f64 t t) (*.f64 x (+.f64 x t))))) (neg.f64 (-.f64 (*.f64 t t) (*.f64 x (+.f64 x t))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) (-.f64 (*.f64 t t) (*.f64 x (+.f64 x t))))) (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 t t) (*.f64 x (+.f64 x t)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)))) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 x t) (*.f64 x (*.f64 x (+.f64 x t)))) (*.f64 t (*.f64 t (*.f64 t t)))) (-.f64 (*.f64 x (+.f64 x t)) (*.f64 t t))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))) (*.f64 (*.f64 x (+.f64 x t)) (*.f64 (+.f64 x t) (*.f64 x (*.f64 x (+.f64 x t)))))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x (+.f64 x t)) (-.f64 (*.f64 x (+.f64 x t)) (*.f64 t t)) (*.f64 t (*.f64 t (*.f64 t t))))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) (-.f64 (*.f64 t t) (*.f64 x (+.f64 x t)))))) (neg.f64 (neg.f64 (-.f64 (*.f64 t t) (*.f64 x (+.f64 x t)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (+.f64 x t) (*.f64 x (*.f64 x (+.f64 x t)))) (*.f64 t (*.f64 t (*.f64 t t))))) (neg.f64 (-.f64 (*.f64 x (+.f64 x t)) (*.f64 t t)))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 t (*.f64 t t)) (pow.f64 (fma.f64 x x (*.f64 t t)) #s(literal 3 binary64))) (fma.f64 (*.f64 t t) (*.f64 x x) (-.f64 (*.f64 (fma.f64 x x (*.f64 t t)) (fma.f64 x x (*.f64 t t))) (*.f64 (*.f64 x t) (fma.f64 x x (*.f64 t t)))))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 t t (*.f64 x x)) #s(literal 3 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 t (*.f64 t t)))) (fma.f64 (fma.f64 t t (*.f64 x x)) (fma.f64 t t (*.f64 x x)) (-.f64 (*.f64 (*.f64 t t) (*.f64 x x)) (*.f64 (fma.f64 t t (*.f64 x x)) (*.f64 x t))))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 t t (*.f64 x t)) #s(literal 3 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (fma.f64 (fma.f64 t t (*.f64 x t)) (fma.f64 t t (*.f64 x t)) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (fma.f64 t t (*.f64 x t)) (*.f64 x x))))) |
(pow.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x t) (*.f64 t t))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 x (+.f64 x t)) (-.f64 (*.f64 x (+.f64 x t)) (*.f64 t t)) (*.f64 t (*.f64 t (*.f64 t t)))) (fma.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))) (*.f64 (*.f64 x (+.f64 x t)) (*.f64 (+.f64 x t) (*.f64 x (*.f64 x (+.f64 x t))))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (*.f64 t t) (*.f64 x (+.f64 x t))) (*.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) (-.f64 (*.f64 t t) (*.f64 x (+.f64 x t))))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) #s(literal 1 binary64)) |
(*.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) (/.f64 (-.f64 (*.f64 t t) (*.f64 x (+.f64 x t))) (-.f64 (*.f64 t t) (*.f64 x (+.f64 x t))))) |
(*.f64 (fma.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))) (*.f64 (*.f64 x (+.f64 x t)) (*.f64 (+.f64 x t) (*.f64 x (*.f64 x (+.f64 x t)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (+.f64 x t)) (-.f64 (*.f64 x (+.f64 x t)) (*.f64 t t)) (*.f64 t (*.f64 t (*.f64 t t)))))) |
(*.f64 (*.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) (-.f64 (*.f64 t t) (*.f64 x (+.f64 x t)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 t t) (*.f64 x (+.f64 x t))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x (+.f64 x t)) (-.f64 (*.f64 x (+.f64 x t)) (*.f64 t t)) (*.f64 t (*.f64 t (*.f64 t t)))) #s(literal 1 binary64)) (/.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) (fma.f64 (*.f64 x (+.f64 x t)) (-.f64 (*.f64 x (+.f64 x t)) (*.f64 t t)) (*.f64 t (*.f64 t (*.f64 t t)))))) |
(-.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 (exp.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64))) (+.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)))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal -2 binary64))))) (/.f64 (exp.f64 (*.f64 (/.f64 t y) #s(literal -2 binary64))) (+.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) (/.f64 (cosh.f64 (/.f64 t y)) (sinh.f64 (/.f64 t y))))) |
(/.f64 #s(literal 1 binary64) (/.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))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal -2 binary64)))))) |
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y))) (*.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) (exp.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal -2 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (/.f64 t y)) (sinh.f64 (/.f64 t y)))))) |
(/.f64 #s(literal -1 binary64) (neg.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)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal -2 binary64))))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y)))) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal -2 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal -2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y))))) (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))))) |
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal -2 binary64)))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal -2 binary64))))))) |
(pow.f64 (*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (/.f64 t y)) (sinh.f64 (/.f64 t y)))) #s(literal -1 binary64)) |
(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)) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal -2 binary64))))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (/.f64 t y)) (cosh.f64 (/.f64 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 (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)))))) |
(*.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)))))) |
(tanh.f64 (/.f64 t y)) |
(*.f64 t (*.f64 t #s(literal -1/3 binary64))) |
(*.f64 #s(literal -1/3 binary64) (*.f64 t t)) |
(*.f64 (*.f64 t t) #s(literal -1/3 binary64)) |
(*.f64 (*.f64 t #s(literal -1/3 binary64)) t) |
(exp.f64 (*.f64 (log.f64 (fma.f64 x (+.f64 x t) (*.f64 t t))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (+.f64 x t) (*.f64 t t)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x t) (*.f64 t t))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (fma.f64 x (+.f64 x t) (*.f64 t t))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)))))) |
(pow.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) (fma.f64 x (+.f64 x t) (*.f64 t t))) #s(literal -1/2 binary64)) |
(pow.f64 (neg.f64 (neg.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x t) (*.f64 t t)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x t) (*.f64 t t))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x (+.f64 x t) (*.f64 t t)))) |
(*.f64 (pow.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))) (*.f64 (*.f64 x (+.f64 x t)) (*.f64 (+.f64 x t) (*.f64 x (*.f64 x (+.f64 x t))))))) (fma.f64 (*.f64 x (+.f64 x t)) (-.f64 (*.f64 x (+.f64 x t)) (*.f64 t t)) (*.f64 t (*.f64 t (*.f64 t t))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))) (*.f64 (*.f64 x (+.f64 x t)) (*.f64 (+.f64 x t) (*.f64 x (*.f64 x (+.f64 x t))))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (+.f64 x t)) (-.f64 (*.f64 x (+.f64 x t)) (*.f64 t t)) (*.f64 t (*.f64 t (*.f64 t t))))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) (-.f64 (*.f64 t t) (*.f64 x (+.f64 x t))))) (-.f64 (*.f64 t t) (*.f64 x (+.f64 x t)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) (-.f64 (*.f64 t t) (*.f64 x (+.f64 x t))))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 t t) (*.f64 x (+.f64 x t)))) #s(literal -1 binary64))) |
| 1× | egg-herbie |
| 11 080× | lower-fma.f64 |
| 11 080× | lower-fma.f32 |
| 5 000× | lower-*.f64 |
| 5 000× | lower-*.f32 |
| 4 088× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 727 | 8531 |
| 1 | 2366 | 7333 |
| 0 | 8717 | 7123 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 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))))))))) |
(+ (* -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))))))))) |
(* -1 x) |
(* 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)) |
(* 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)) |
(* 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)) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ (* y (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (* y (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (* y (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))) x))))) |
(* -1 x) |
(+ (* -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))))))))) |
(+ (* -1 x) (* y (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))) |
(+ t (* -1 x)) |
(+ t (+ (* -1 x) (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y)))) |
(- (+ t (+ (* -1 x) (+ (* 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)))) |
(- (+ t (+ (* -1 x) (+ (* 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)))))) |
(* -1 (+ x (* -1 t))) |
(+ (* -1 (+ x (* -1 t))) (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y))) |
(+ (* -1 (+ x (* -1 t))) (* -1 (/ (- (+ (* -1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (/ (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))) y))) (* -1/2 (/ (pow t 3) y))) y))) |
(+ (* -1 (+ x (* -1 t))) (* -1 (/ (+ (* -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)))) (* 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)))))))))) y))) (+ (* 1/4 (/ (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2))) y)) (* 1/2 (/ (* t (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))) y)))) y)) (* -1/2 (+ (* -1 (pow t 2)) (pow t 2)))) y))) |
(* -1 x) |
(+ t (* -1 x)) |
(+ (* -1 x) (* t (+ 1 (* -1/3 (/ (pow t 2) (pow y 2)))))) |
(+ (* -1 x) (* t (+ 1 (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 4))) (* 1/3 (/ 1 (pow y 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)))))))) |
(* 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)))))))) |
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(+ (* -1 (* x z)) (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2)))))) |
(+ (* -1 (* x z)) (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2)))))) |
(* -1/3 (/ (* (pow t 3) z) (pow y 2))) |
(* (pow t 3) (+ (* -1/3 (/ z (pow y 2))) (/ z (pow t 2)))) |
(* (pow t 3) (+ (* -1 (/ (* x z) (pow t 3))) (+ (* -1/3 (/ z (pow y 2))) (/ z (pow t 2))))) |
(* (pow t 3) (+ (* -1 (/ (* x z) (pow t 3))) (+ (* -1/3 (/ z (pow y 2))) (/ z (pow t 2))))) |
(* -1/3 (/ (* (pow t 3) z) (pow y 2))) |
(* -1 (* (pow t 3) (+ (* -1 (/ z (pow t 2))) (* 1/3 (/ z (pow y 2)))))) |
(* -1 (* (pow t 3) (+ (* -1 (/ z (pow t 2))) (+ (* 1/3 (/ z (pow y 2))) (/ (* x z) (pow t 3)))))) |
(* -1 (* (pow t 3) (+ (* -1 (/ z (pow t 2))) (+ (* 1/3 (/ z (pow y 2))) (/ (* x z) (pow t 3)))))) |
(* -1/3 (/ (* (pow t 3) z) (pow y 2))) |
(/ (+ (* -1/3 (* (pow t 3) z)) (* (pow y 2) (* z (- t x)))) (pow y 2)) |
(/ (+ (* -1/3 (* (pow t 3) z)) (* (pow y 2) (* z (- t x)))) (pow y 2)) |
(/ (+ (* -1/3 (* (pow t 3) z)) (* (pow y 2) (* z (- t x)))) (pow y 2)) |
(* z (- t x)) |
(+ (* -1/3 (/ (* (pow t 3) z) (pow y 2))) (* z (- t x))) |
(+ (* -1/3 (/ (* (pow t 3) z) (pow y 2))) (* z (- t x))) |
(+ (* -1/3 (/ (* (pow t 3) z) (pow y 2))) (* z (- t x))) |
(* z (- t x)) |
(+ (* -1/3 (/ (* (pow t 3) z) (pow y 2))) (* z (- t x))) |
(+ (* -1/3 (/ (* (pow t 3) z) (pow y 2))) (* z (- t x))) |
(+ (* -1/3 (/ (* (pow t 3) z) (pow y 2))) (* z (- t x))) |
(* z (+ t (* -1/3 (/ (pow t 3) (pow y 2))))) |
(+ (* -1 (* x z)) (* z (+ t (* -1/3 (/ (pow t 3) (pow y 2)))))) |
(+ (* -1 (* x z)) (* z (+ t (* -1/3 (/ (pow t 3) (pow y 2)))))) |
(+ (* -1 (* x z)) (* z (+ t (* -1/3 (/ (pow t 3) (pow y 2)))))) |
(* -1 (* x z)) |
(* x (+ (* -1 z) (/ (* z (+ t (* -1/3 (/ (pow t 3) (pow y 2))))) x))) |
(* x (+ (* -1 z) (/ (* z (+ t (* -1/3 (/ (pow t 3) (pow y 2))))) x))) |
(* x (+ (* -1 z) (/ (* z (+ t (* -1/3 (/ (pow t 3) (pow y 2))))) x))) |
(* -1 (* x z)) |
(* -1 (* x (+ z (* -1 (/ (* z (+ t (* -1/3 (/ (pow t 3) (pow y 2))))) x))))) |
(* -1 (* x (+ z (* -1 (/ (* z (+ t (* -1/3 (/ (pow t 3) (pow y 2))))) x))))) |
(* -1 (* x (+ z (* -1 (/ (* z (+ t (* -1/3 (/ (pow t 3) (pow y 2))))) x))))) |
(* z (- (+ t (* -1/3 (/ (pow t 3) (pow y 2)))) x)) |
(* z (- (+ t (* -1/3 (/ (pow t 3) (pow y 2)))) x)) |
(* z (- (+ t (* -1/3 (/ (pow t 3) (pow y 2)))) x)) |
(* z (- (+ t (* -1/3 (/ (pow t 3) (pow y 2)))) x)) |
(* z (- (+ t (* -1/3 (/ (pow t 3) (pow y 2)))) x)) |
(* z (- (+ t (* -1/3 (/ (pow t 3) (pow y 2)))) x)) |
(* z (- (+ t (* -1/3 (/ (pow t 3) (pow y 2)))) x)) |
(* z (- (+ t (* -1/3 (/ (pow t 3) (pow y 2)))) x)) |
(* z (- (+ t (* -1/3 (/ (pow t 3) (pow y 2)))) x)) |
(* z (- (+ t (* -1/3 (/ (pow t 3) (pow y 2)))) x)) |
(* z (- (+ t (* -1/3 (/ (pow t 3) (pow y 2)))) x)) |
(* z (- (+ t (* -1/3 (/ (pow t 3) (pow y 2)))) x)) |
(* -1 x) |
(- t x) |
(- (* t (+ 1 (* -1/3 (/ (pow t 2) (pow y 2))))) x) |
(- (* t (+ 1 (* -1/3 (/ (pow t 2) (pow y 2))))) x) |
(* -1/3 (/ (pow t 3) (pow y 2))) |
(* (pow t 3) (- (/ 1 (pow t 2)) (* 1/3 (/ 1 (pow y 2))))) |
(* (pow t 3) (- (+ (* -1 (/ x (pow t 3))) (/ 1 (pow t 2))) (* 1/3 (/ 1 (pow y 2))))) |
(* (pow t 3) (- (+ (* -1 (/ x (pow t 3))) (/ 1 (pow t 2))) (* 1/3 (/ 1 (pow y 2))))) |
(* -1/3 (/ (pow t 3) (pow y 2))) |
(* -1 (* (pow t 3) (- (* 1/3 (/ 1 (pow y 2))) (/ 1 (pow t 2))))) |
(* -1 (* (pow t 3) (- (+ (* 1/3 (/ 1 (pow y 2))) (/ x (pow t 3))) (/ 1 (pow t 2))))) |
(* -1 (* (pow t 3) (- (+ (* 1/3 (/ 1 (pow y 2))) (/ x (pow t 3))) (/ 1 (pow t 2))))) |
(* -1/3 (/ (pow t 3) (pow y 2))) |
(/ (+ (* -1/3 (pow t 3)) (* (pow y 2) (- t x))) (pow y 2)) |
(/ (+ (* -1/3 (pow t 3)) (* (pow y 2) (- t x))) (pow y 2)) |
(/ (+ (* -1/3 (pow t 3)) (* (pow y 2) (- t x))) (pow y 2)) |
(- t x) |
(- (+ t (* -1/3 (/ (pow t 3) (pow y 2)))) x) |
(- (+ t (* -1/3 (/ (pow t 3) (pow y 2)))) x) |
(- (+ t (* -1/3 (/ (pow t 3) (pow y 2)))) x) |
(- t x) |
(- (+ t (* -1/3 (/ (pow t 3) (pow y 2)))) x) |
(- (+ t (* -1/3 (/ (pow t 3) (pow y 2)))) x) |
(- (+ t (* -1/3 (/ (pow t 3) (pow y 2)))) x) |
(+ t (* -1/3 (/ (pow t 3) (pow y 2)))) |
(+ t (+ (* -1 x) (* -1/3 (/ (pow t 3) (pow y 2))))) |
(+ t (+ (* -1 x) (* -1/3 (/ (pow t 3) (pow y 2))))) |
(+ t (+ (* -1 x) (* -1/3 (/ (pow t 3) (pow y 2))))) |
(* -1 x) |
(* x (- (+ (* -1/3 (/ (pow t 3) (* x (pow y 2)))) (/ t x)) 1)) |
(* x (- (+ (* -1/3 (/ (pow t 3) (* x (pow y 2)))) (/ t x)) 1)) |
(* x (- (+ (* -1/3 (/ (pow t 3) (* x (pow y 2)))) (/ t x)) 1)) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ (+ t (* -1/3 (/ (pow t 3) (pow y 2)))) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ t (* -1/3 (/ (pow t 3) (pow y 2)))) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ t (* -1/3 (/ (pow t 3) (pow y 2)))) x))))) |
t |
(* t (+ 1 (* -1/3 (/ (pow t 2) (pow y 2))))) |
(* t (+ 1 (* -1/3 (/ (pow t 2) (pow y 2))))) |
(* t (+ 1 (* -1/3 (/ (pow t 2) (pow y 2))))) |
(* -1/3 (/ (pow t 3) (pow y 2))) |
(* (pow t 3) (- (/ 1 (pow t 2)) (* 1/3 (/ 1 (pow y 2))))) |
(* (pow t 3) (- (/ 1 (pow t 2)) (* 1/3 (/ 1 (pow y 2))))) |
(* (pow t 3) (- (/ 1 (pow t 2)) (* 1/3 (/ 1 (pow y 2))))) |
(* -1/3 (/ (pow t 3) (pow y 2))) |
(* -1 (* (pow t 3) (- (* 1/3 (/ 1 (pow y 2))) (/ 1 (pow t 2))))) |
(* -1 (* (pow t 3) (- (* 1/3 (/ 1 (pow y 2))) (/ 1 (pow t 2))))) |
(* -1 (* (pow t 3) (- (* 1/3 (/ 1 (pow y 2))) (/ 1 (pow t 2))))) |
(* -1/3 (/ (pow t 3) (pow y 2))) |
(/ (+ (* -1/3 (pow t 3)) (* t (pow y 2))) (pow y 2)) |
(/ (+ (* -1/3 (pow t 3)) (* t (pow y 2))) (pow y 2)) |
(/ (+ (* -1/3 (pow t 3)) (* t (pow y 2))) (pow y 2)) |
t |
(+ t (* -1/3 (/ (pow t 3) (pow y 2)))) |
(+ t (* -1/3 (/ (pow t 3) (pow y 2)))) |
(+ t (* -1/3 (/ (pow t 3) (pow y 2)))) |
t |
(+ t (* -1/3 (/ (pow t 3) (pow y 2)))) |
(+ t (* -1/3 (/ (pow t 3) (pow y 2)))) |
(+ t (* -1/3 (/ (pow t 3) (pow y 2)))) |
(* -1/3 (/ (pow t 2) (pow y 2))) |
(* -1/3 (/ (pow t 2) (pow y 2))) |
(* -1/3 (/ (pow t 2) (pow y 2))) |
(* -1/3 (/ (pow t 2) (pow y 2))) |
(* -1/3 (/ (pow t 2) (pow y 2))) |
(* -1/3 (/ (pow t 2) (pow y 2))) |
(* -1/3 (/ (pow t 2) (pow y 2))) |
(* -1/3 (/ (pow t 2) (pow y 2))) |
(* -1/3 (/ (pow t 2) (pow y 2))) |
(* -1/3 (/ (pow t 2) (pow y 2))) |
(* -1/3 (/ (pow t 2) (pow y 2))) |
(* -1/3 (/ (pow t 2) (pow y 2))) |
(* -1/3 (/ (pow t 2) (pow y 2))) |
(* -1/3 (/ (pow t 2) (pow y 2))) |
(* -1/3 (/ (pow t 2) (pow y 2))) |
(* -1/3 (/ (pow t 2) (pow y 2))) |
(* -1/3 (/ (pow t 2) (pow y 2))) |
(* -1/3 (/ (pow t 2) (pow y 2))) |
(* -1/3 (/ (pow t 2) (pow y 2))) |
(* -1/3 (/ (pow t 2) (pow y 2))) |
(* -1/3 (/ (pow t 2) (pow y 2))) |
(* -1/3 (/ (pow t 2) (pow y 2))) |
(* -1/3 (/ (pow t 2) (pow y 2))) |
(* -1/3 (/ (pow t 2) (pow y 2))) |
(* -1 x) |
(- t x) |
(- t x) |
(- t x) |
t |
(* t (+ 1 (* -1 (/ x t)))) |
(* t (+ 1 (* -1 (/ x t)))) |
(* t (+ 1 (* -1 (/ x t)))) |
t |
(* -1 (* t (- (/ x t) 1))) |
(* -1 (* t (- (/ x t) 1))) |
(* -1 (* t (- (/ x t) 1))) |
t |
(+ t (* -1 x)) |
(+ t (* -1 x)) |
(+ t (* -1 x)) |
(* -1 x) |
(* x (- (/ t x) 1)) |
(* x (- (/ t x) 1)) |
(* x (- (/ t x) 1)) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ t x))))) |
(* -1 (* x (+ 1 (* -1 (/ t x))))) |
(* -1 (* x (+ 1 (* -1 (/ t x))))) |
x |
(+ x (* z (- t x))) |
(+ x (* z (- t x))) |
(+ x (* z (- t x))) |
(* z (- t x)) |
(* z (- (+ t (/ x z)) x)) |
(* z (- (+ t (/ x z)) x)) |
(* z (- (+ t (/ x z)) x)) |
(* z (- t x)) |
(* -1 (* z (+ (* -1 (- t x)) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 (- t x)) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 (- t x)) (* -1 (/ x z))))) |
(+ x (* -1 (* x z))) |
(+ x (+ (* -1 (* x z)) (* t z))) |
(+ x (+ (* -1 (* x z)) (* t z))) |
(+ x (+ (* -1 (* x z)) (* t z))) |
(* t z) |
(* t (+ z (+ (* -1 (/ (* x z) t)) (/ x t)))) |
(* t (+ z (+ (* -1 (/ (* x z) t)) (/ x t)))) |
(* t (+ z (+ (* -1 (/ (* x z) t)) (/ x t)))) |
(* t z) |
(* -1 (* t (+ (* -1 z) (* -1 (/ (+ x (* -1 (* x z))) t))))) |
(* -1 (* t (+ (* -1 z) (* -1 (/ (+ x (* -1 (* x z))) t))))) |
(* -1 (* t (+ (* -1 z) (* -1 (/ (+ x (* -1 (* x z))) t))))) |
(* t z) |
(+ (* t z) (* x (+ 1 (* -1 z)))) |
(+ (* t z) (* x (+ 1 (* -1 z)))) |
(+ (* t z) (* x (+ 1 (* -1 z)))) |
(* x (+ 1 (* -1 z))) |
(* x (+ 1 (+ (* -1 z) (/ (* t z) x)))) |
(* x (+ 1 (+ (* -1 z) (/ (* t z) x)))) |
(* x (+ 1 (+ (* -1 z) (/ (* t z) x)))) |
(* -1 (* x (- z 1))) |
(* -1 (* x (- (+ z (* -1 (/ (* t z) x))) 1))) |
(* -1 (* x (- (+ z (* -1 (/ (* t z) x))) 1))) |
(* -1 (* x (- (+ z (* -1 (/ (* t z) x))) 1))) |
(* -1 (pow x 3)) |
(+ (* -1 (pow x 3)) (* t (+ (* -1 (pow x 2)) (pow x 2)))) |
(+ (* -1 (pow x 3)) (* t (+ (* -1 (pow x 2)) (+ (* t (+ x (* -1 x))) (pow x 2))))) |
(+ (* -1 (pow x 3)) (* t (+ (* -1 (pow x 2)) (+ (* t (+ t (+ x (* -1 x)))) (pow x 2))))) |
(pow t 3) |
(* (pow t 3) (+ 1 (+ (* -1 (/ x t)) (/ x t)))) |
(* (pow t 3) (+ 1 (+ (* -1 (/ x t)) (+ (* -1 (/ (pow x 2) (pow t 2))) (+ (/ x t) (/ (pow x 2) (pow t 2))))))) |
(* (pow t 3) (+ 1 (+ (* -1 (/ x t)) (+ (* -1 (/ (pow x 2) (pow t 2))) (+ (* -1 (/ (pow x 3) (pow t 3))) (+ (/ x t) (/ (pow x 2) (pow t 2)))))))) |
(pow t 3) |
(* -1 (* (pow t 3) (- (+ (* -1 (/ x t)) (/ x t)) 1))) |
(* -1 (* (pow t 3) (- (* -1 (/ (+ (* -1 (+ x (* -1 x))) (+ (* -1 (/ (pow x 2) t)) (/ (pow x 2) t))) t)) 1))) |
(* -1 (* (pow t 3) (- (* -1 (/ (+ (* -1 (+ x (* -1 x))) (* -1 (/ (+ (* -1 (+ (* -1 (pow x 2)) (pow x 2))) (/ (pow x 3) t)) t))) t)) 1))) |
(pow t 3) |
(+ (* x (+ (* -1 (pow t 2)) (pow t 2))) (pow t 3)) |
(+ (* x (+ (* -1 (pow t 2)) (+ (* x (+ t (* -1 t))) (pow t 2)))) (pow t 3)) |
(+ (* x (+ (* -1 (pow t 2)) (+ (* x (+ t (+ (* -1 t) (* -1 x)))) (pow t 2)))) (pow t 3)) |
(* -1 (pow x 3)) |
(* (pow x 3) (- (+ (* -1 (/ t x)) (/ t x)) 1)) |
(* (pow x 3) (- (+ (* -1 (/ t x)) (+ (* -1 (/ (pow t 2) (pow x 2))) (+ (/ t x) (/ (pow t 2) (pow x 2))))) 1)) |
(* (pow x 3) (- (+ (* -1 (/ t x)) (+ (* -1 (/ (pow t 2) (pow x 2))) (+ (/ t x) (+ (/ (pow t 2) (pow x 2)) (/ (pow t 3) (pow x 3)))))) 1)) |
(* -1 (pow x 3)) |
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ t (* -1 t)) x))))) |
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ t (+ (* -1 t) (* -1 (/ (+ (* -1 (pow t 2)) (pow t 2)) x)))) x))))) |
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ t (+ (* -1 t) (* -1 (/ (+ (* -1 (/ (pow t 3) x)) (+ (* -1 (pow t 2)) (pow t 2))) x)))) x))))) |
(pow x 2) |
(+ (* t x) (pow x 2)) |
(+ (* t (+ t x)) (pow x 2)) |
(+ (* t (+ t x)) (pow x 2)) |
(pow t 2) |
(* (pow t 2) (+ 1 (/ x t))) |
(* (pow t 2) (+ 1 (+ (/ x t) (/ (pow x 2) (pow t 2))))) |
(* (pow t 2) (+ 1 (+ (/ x t) (/ (pow x 2) (pow t 2))))) |
(pow t 2) |
(* (pow t 2) (+ 1 (/ x t))) |
(* (pow t 2) (+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (pow x 2) t))) t)))) |
(* (pow t 2) (+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (pow x 2) t))) t)))) |
(pow t 2) |
(+ (* t x) (pow t 2)) |
(+ (* x (+ t x)) (pow t 2)) |
(+ (* x (+ t x)) (pow t 2)) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ t x))) |
(* (pow x 2) (+ 1 (+ (/ t x) (/ (pow t 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (+ (/ t x) (/ (pow t 2) (pow x 2))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ t x))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 t) (* -1 (/ (pow t 2) x))) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 t) (* -1 (/ (pow t 2) x))) x)))) |
(/ t y) |
(* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y))) |
(* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) |
(* t (+ (* (pow t 2) (- (* (pow t 2) (+ (* -17/315 (/ (pow t 2) (pow y 7))) (* 2/15 (/ 1 (pow y 5))))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) |
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(/ t y) |
(/ (+ t (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 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 t 3) (pow y 2)))) 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) |
(/ t y) |
(* -1 (/ (+ (* -1 t) (* -1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y))) y)) |
(* -1 (/ (+ (* -1 t) (* -1 (/ (+ (* -1 (/ (- (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))) (* -1/2 (pow t 3))) y)) (* 1/2 (+ (* -1 (pow t 2)) (pow t 2)))) y))) y)) |
(* -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)) |
(* -1/3 (pow t 2)) |
(* -1/3 (pow t 2)) |
(* -1/3 (pow t 2)) |
(* -1/3 (pow t 2)) |
(* -1/3 (pow t 2)) |
(* -1/3 (pow t 2)) |
(* -1/3 (pow t 2)) |
(* -1/3 (pow t 2)) |
(* -1/3 (pow t 2)) |
(* -1/3 (pow t 2)) |
(* -1/3 (pow t 2)) |
(* -1/3 (pow t 2)) |
(/ 1 (pow x 2)) |
(+ (* -1 (/ t (pow x 3))) (/ 1 (pow x 2))) |
(+ (* t (- (/ (pow t 2) (pow x 5)) (/ 1 (pow x 3)))) (/ 1 (pow x 2))) |
(+ (* t (- (* (pow t 2) (+ (* -1 (/ t (pow x 6))) (/ 1 (pow x 5)))) (/ 1 (pow x 3)))) (/ 1 (pow x 2))) |
(/ 1 (pow t 2)) |
(/ (+ 1 (* -1 (/ x t))) (pow t 2)) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) (pow t 2)))) (/ x t)) (pow t 2)) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 (pow x 3))) (pow t 3)))) (+ (* -1 (/ (pow x 2) (pow t 2))) (+ (/ x t) (/ (pow x 2) (pow t 2))))) (pow t 2)) |
(/ 1 (pow t 2)) |
(/ (+ 1 (* -1 (/ x t))) (pow t 2)) |
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow x 2) t)) (/ (pow x 2) t)) (* -1 x)) t))) (pow t 2)) |
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (/ (* x (+ (* -1 (pow x 2)) (pow x 2))) t) (/ (pow x 3) t)) (+ (* -1 (pow x 2)) (pow x 2))) t)) (* -1 x)) t))) (pow t 2)) |
(/ 1 (pow t 2)) |
(+ (* -1 (/ x (pow t 3))) (/ 1 (pow t 2))) |
(+ (* x (- (/ (pow x 2) (pow t 5)) (/ 1 (pow t 3)))) (/ 1 (pow t 2))) |
(+ (* x (- (* (pow x 2) (+ (* -1 (/ x (pow t 6))) (/ 1 (pow t 5)))) (/ 1 (pow t 3)))) (/ 1 (pow t 2))) |
(/ 1 (pow x 2)) |
(/ (+ 1 (* -1 (/ t x))) (pow x 2)) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow t 2)) (pow t 2)) (pow x 2)))) (/ t x)) (pow x 2)) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* t (+ (* -1 (pow t 2)) (pow t 2)))) (* -1 (pow t 3))) (pow x 3)))) (+ (* -1 (/ (pow t 2) (pow x 2))) (+ (/ t x) (/ (pow t 2) (pow x 2))))) (pow x 2)) |
(/ 1 (pow x 2)) |
(/ (+ 1 (* -1 (/ t x))) (pow x 2)) |
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow t 2) x)) (/ (pow t 2) x)) (* -1 t)) x))) (pow x 2)) |
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (/ (* t (+ (* -1 (pow t 2)) (pow t 2))) x) (/ (pow t 3) x)) (+ (* -1 (pow t 2)) (pow t 2))) x)) (* -1 t)) x))) (pow x 2)) |
| Outputs |
|---|
(* y (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))) |
(/.f64 (*.f64 y (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 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))))))))) |
(fma.f64 y (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (neg.f64 x)) |
(+ (* -1 x) (* y (- (/ (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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(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 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 t (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 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 t (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 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 t (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) |
(/ t y) |
(/.f64 t y) |
(/ (+ t (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y))) y) |
(/.f64 (+.f64 t (/.f64 #s(literal 0 binary64) 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 t 3) (pow y 2)))) y) |
(/.f64 (+.f64 t (+.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64)) (*.f64 t (*.f64 t t)))) (*.f64 y y)))) 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 (-.f64 (+.f64 t (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (fma.f64 (*.f64 t t) (*.f64 (*.f64 (*.f64 t t) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (*.f64 t (*.f64 t (*.f64 t t))) #s(literal -1/12 binary64))) (*.f64 t (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/6 binary64)))) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64)) (*.f64 y y))) (/.f64 #s(literal 0 binary64) y))) (fma.f64 t (*.f64 (/.f64 (fma.f64 t (*.f64 t (*.f64 t #s(literal 1/2 binary64))) (*.f64 t (*.f64 (*.f64 t t) #s(literal -1/2 binary64)))) (*.f64 y (*.f64 y y))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y y)) (/.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))))) y) |
(/ t y) |
(/.f64 t y) |
(* -1 (/ (+ (* -1 t) (* -1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y))) y)) |
(/.f64 (-.f64 (/.f64 #s(literal 0 binary64) y) t) (neg.f64 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 (neg.f64 t) (neg.f64 (/.f64 (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64)) (*.f64 y y)))) (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 (neg.f64 t) (/.f64 (/.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 t (*.f64 (*.f64 t (*.f64 t t)) #s(literal -1/6 binary64)) (*.f64 (*.f64 t (*.f64 t (*.f64 t t))) #s(literal -1/12 binary64))) (*.f64 (*.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal -1/2 binary64)))) #s(literal -1/4 binary64))) (fma.f64 (fma.f64 t (*.f64 t (*.f64 t #s(literal 1/2 binary64))) (*.f64 t (*.f64 (*.f64 t t) #s(literal -1/2 binary64)))) (*.f64 t #s(literal 1/2 binary64)) #s(literal 0 binary64))) (neg.f64 y))) (neg.f64 y)) y)) (neg.f64 y)) |
(* -1/3 (pow t 2)) |
(*.f64 t (*.f64 t #s(literal -1/3 binary64))) |
(* -1/3 (pow t 2)) |
(*.f64 t (*.f64 t #s(literal -1/3 binary64))) |
(* -1/3 (pow t 2)) |
(*.f64 t (*.f64 t #s(literal -1/3 binary64))) |
(* -1/3 (pow t 2)) |
(*.f64 t (*.f64 t #s(literal -1/3 binary64))) |
(* -1/3 (pow t 2)) |
(*.f64 t (*.f64 t #s(literal -1/3 binary64))) |
(* -1/3 (pow t 2)) |
(*.f64 t (*.f64 t #s(literal -1/3 binary64))) |
(* -1/3 (pow t 2)) |
(*.f64 t (*.f64 t #s(literal -1/3 binary64))) |
(* -1/3 (pow t 2)) |
(*.f64 t (*.f64 t #s(literal -1/3 binary64))) |
(* -1/3 (pow t 2)) |
(*.f64 t (*.f64 t #s(literal -1/3 binary64))) |
(* -1/3 (pow t 2)) |
(*.f64 t (*.f64 t #s(literal -1/3 binary64))) |
(* -1/3 (pow t 2)) |
(*.f64 t (*.f64 t #s(literal -1/3 binary64))) |
(* -1/3 (pow t 2)) |
(*.f64 t (*.f64 t #s(literal -1/3 binary64))) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(+ (* -1 (/ t (pow x 3))) (/ 1 (pow x 2))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 t x)) (*.f64 x x)) |
(+ (* t (- (/ (pow t 2) (pow x 5)) (/ 1 (pow x 3)))) (/ 1 (pow x 2))) |
(fma.f64 t (fma.f64 t (/.f64 t (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(+ (* t (- (* (pow t 2) (+ (* -1 (/ t (pow x 6))) (/ 1 (pow x 5)))) (/ 1 (pow x 3)))) (/ 1 (pow x 2))) |
(fma.f64 t (fma.f64 (*.f64 t t) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) (/.f64 t (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/ 1 (pow t 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 t t)) |
(/ (+ 1 (* -1 (/ x t))) (pow t 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x t)) (*.f64 t t)) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) (pow t 2)))) (/ x t)) (pow t 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x t)) (*.f64 t t)) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 (pow x 3))) (pow t 3)))) (+ (* -1 (/ (pow x 2) (pow t 2))) (+ (/ x t) (/ (pow x 2) (pow t 2))))) (pow t 2)) |
(/.f64 (-.f64 (fma.f64 (*.f64 x x) (/.f64 x (*.f64 t (*.f64 t t))) #s(literal 1 binary64)) (-.f64 (fma.f64 x (/.f64 x (*.f64 t t)) (/.f64 x t)) (/.f64 (*.f64 x x) (*.f64 t t)))) (*.f64 t t)) |
(/ 1 (pow t 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 t t)) |
(/ (+ 1 (* -1 (/ x t))) (pow t 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x t)) (*.f64 t t)) |
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow x 2) t)) (/ (pow x 2) t)) (* -1 x)) t))) (pow t 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x t)) (*.f64 t t)) |
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (/ (* x (+ (* -1 (pow x 2)) (pow x 2))) t) (/ (pow x 3) t)) (+ (* -1 (pow x 2)) (pow x 2))) t)) (* -1 x)) t))) (pow t 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 (fma.f64 x (/.f64 (*.f64 x x) t) #s(literal 0 binary64)) (neg.f64 t))) t)) (*.f64 t t)) |
(/ 1 (pow t 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 t t)) |
(+ (* -1 (/ x (pow t 3))) (/ 1 (pow t 2))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x t)) (*.f64 t t)) |
(+ (* x (- (/ (pow x 2) (pow t 5)) (/ 1 (pow t 3)))) (/ 1 (pow t 2))) |
(fma.f64 x (fma.f64 x (/.f64 x (pow.f64 t #s(literal 5 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 t (*.f64 t t)))) (/.f64 #s(literal 1 binary64) (*.f64 t t))) |
(+ (* x (- (* (pow x 2) (+ (* -1 (/ x (pow t 6))) (/ 1 (pow t 5)))) (/ 1 (pow t 3)))) (/ 1 (pow t 2))) |
(fma.f64 x (fma.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 5 binary64))) (/.f64 x (pow.f64 t #s(literal 6 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 t (*.f64 t t)))) (/.f64 #s(literal 1 binary64) (*.f64 t t))) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ (+ 1 (* -1 (/ t x))) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 t x)) (*.f64 x x)) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow t 2)) (pow t 2)) (pow x 2)))) (/ t x)) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 t x)) (*.f64 x x)) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* t (+ (* -1 (pow t 2)) (pow t 2)))) (* -1 (pow t 3))) (pow x 3)))) (+ (* -1 (/ (pow t 2) (pow x 2))) (+ (/ t x) (/ (pow t 2) (pow x 2))))) (pow x 2)) |
(/.f64 (-.f64 (fma.f64 (*.f64 t t) (/.f64 t (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (-.f64 (fma.f64 t (/.f64 t (*.f64 x x)) (/.f64 t x)) (/.f64 (*.f64 t t) (*.f64 x x)))) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ (+ 1 (* -1 (/ t x))) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 t x)) (*.f64 x x)) |
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow t 2) x)) (/ (pow t 2) x)) (* -1 t)) x))) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 t x)) (*.f64 x x)) |
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (/ (* t (+ (* -1 (pow t 2)) (pow t 2))) x) (/ (pow t 3) x)) (+ (* -1 (pow t 2)) (pow t 2))) x)) (* -1 t)) x))) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 t (/.f64 (fma.f64 t (/.f64 (*.f64 t t) x) #s(literal 0 binary64)) (neg.f64 x))) x)) (*.f64 x x)) |
Compiled 50 083 to 4 281 computations (91.5% saved)
49 alts after pruning (45 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 726 | 27 | 1 753 |
| Fresh | 14 | 18 | 32 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 744 | 49 | 1 793 |
| Status | Accuracy | Program |
|---|---|---|
| 50.2% | (fma.f64 (/.f64 (neg.f64 x) y) (*.f64 y z) x) | |
| 49.0% | (fma.f64 (/.f64 z y) (/.f64 (*.f64 y (neg.f64 x)) #s(literal 1 binary64)) x) | |
| 57.8% | (fma.f64 (/.f64 y y) (/.f64 z (/.f64 #s(literal -1 binary64) x)) x) | |
| 53.3% | (fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 y z) (/.f64 #s(literal -1 binary64) x)) x) | |
| 55.3% | (fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y (*.f64 z (-.f64 t x))) x) | |
| 53.3% | (fma.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (*.f64 (*.f64 y z) x)) x) | |
| 51.6% | (fma.f64 (*.f64 (/.f64 (neg.f64 x) y) y) z x) | |
| 64.2% | (fma.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) y) z x) | |
| ✓ | 71.9% | (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) z x) |
| ✓ | 98.4% | (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) |
| 56.6% | (fma.f64 (*.f64 (*.f64 y z) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x) x) | |
| 51.5% | (fma.f64 (*.f64 z (/.f64 (neg.f64 x) y)) y x) | |
| 62.1% | (fma.f64 (*.f64 z (-.f64 t x)) (*.f64 y (/.f64 #s(literal 1 binary64) y)) x) | |
| 57.9% | (fma.f64 (neg.f64 x) z x) | |
| 31.0% | (fma.f64 z (-.f64 t x) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 2/3 binary64))) (/.f64 z (*.f64 y y)) x)) | |
| 31.3% | (fma.f64 z (*.f64 (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (fma.f64 x (*.f64 x x) (*.f64 t (*.f64 t t)))) (fma.f64 x (-.f64 x t) (*.f64 t t))) x) | |
| 23.3% | (fma.f64 z (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) (-.f64 (*.f64 t t) (*.f64 x (+.f64 x t))))) (-.f64 (*.f64 t t) (*.f64 x (+.f64 x t))))) x) | |
| 27.0% | (fma.f64 z (*.f64 (*.f64 (*.f64 x (+.f64 t x)) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x) | |
| 32.3% | (fma.f64 z (*.f64 (*.f64 (*.f64 x x) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x) | |
| 31.2% | (fma.f64 z (*.f64 (*.f64 (*.f64 t (+.f64 t x)) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x) | |
| 38.3% | (fma.f64 z (*.f64 (*.f64 (*.f64 t t) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x) | |
| 40.3% | (fma.f64 z (*.f64 (*.f64 t (*.f64 t t)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x) | |
| 34.9% | (fma.f64 z (*.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x) | |
| 19.9% | (/.f64 (fma.f64 y (*.f64 y (fma.f64 (-.f64 t x) z x)) (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 t (*.f64 t t)) z))) (*.f64 y y)) | |
| 18.1% | (/.f64 (-.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 (*.f64 y z) x) (*.f64 (*.f64 y z) x)) (*.f64 y y))) (+.f64 x (*.f64 (/.f64 x y) (*.f64 y z)))) | |
| 20.7% | (/.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) z) (+.f64 x t)) | |
| 2.2% | (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 z (*.f64 x (*.f64 x x)))) (*.f64 y y)) | |
| 1.8% | (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 t (*.f64 (*.f64 t t) z))) (*.f64 y y)) | |
| 49.3% | (+.f64 (/.f64 (*.f64 (*.f64 y (-.f64 t x)) z) y) x) | |
| 53.3% | (+.f64 (/.f64 (*.f64 y (*.f64 x (neg.f64 z))) y) x) | |
| 54.9% | (+.f64 (/.f64 (*.f64 t (*.f64 y z)) y) x) | |
| 53.5% | (+.f64 (*.f64 t z) x) | |
| 50.9% | (+.f64 x (/.f64 (*.f64 y z) (/.f64 y (neg.f64 x)))) | |
| 39.5% | (+.f64 x (*.f64 (*.f64 y z) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)) y))) | |
| 27.9% | (+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y)))) | |
| 29.8% | (+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y)))) | |
| 20.8% | (+.f64 x (*.f64 (*.f64 y z) (/.f64 (*.f64 (*.f64 x (+.f64 x t)) (-.f64 t x)) (*.f64 y (fma.f64 t t (*.f64 x (+.f64 t x))))))) | |
| 24.6% | (+.f64 x (*.f64 (*.f64 y z) (/.f64 (*.f64 (*.f64 t (+.f64 x t)) (-.f64 t x)) (*.f64 y (fma.f64 t t (*.f64 x (+.f64 t x))))))) | |
| 48.3% | (+.f64 x (*.f64 (*.f64 y z) (/.f64 t y))) | |
| 65.9% | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.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)))))) | |
| 50.2% | (+.f64 x (*.f64 (*.f64 y z) (*.f64 x (/.f64 #s(literal -1 binary64) y)))) | |
| 24.6% | (+.f64 x (*.f64 (*.f64 y z) (exp.f64 (*.f64 (log.f64 (/.f64 y (neg.f64 x))) #s(literal -1 binary64))))) | |
| 9.4% | (*.f64 (fma.f64 (*.f64 t (*.f64 t t)) (/.f64 #s(literal -1/3 binary64) (*.f64 y y)) t) z) | |
| 1.8% | (*.f64 (/.f64 (*.f64 (*.f64 t (*.f64 t t)) #s(literal -1/3 binary64)) (*.f64 y y)) z) | |
| 5.7% | (*.f64 (/.f64 (*.f64 z (-.f64 t x)) (*.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) (-.f64 (*.f64 t t) (*.f64 x (+.f64 x t))))) (/.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 t t) (*.f64 x (+.f64 x t)))))) | |
| ✓ | 26.8% | (*.f64 (-.f64 t x) z) |
| 16.3% | (*.f64 (*.f64 x (*.f64 x x)) (-.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 z (*.f64 x x)))) | |
| 14.7% | (*.f64 (neg.f64 x) z) | |
| ✓ | 16.0% | (*.f64 z t) |
Compiled 2 562 to 918 computations (64.2% saved)
| Inputs |
|---|
(*.f64 z t) |
(*.f64 (neg.f64 x) z) |
(*.f64 z (-.f64 t x)) |
(*.f64 (-.f64 t x) z) |
(+.f64 x (*.f64 z t)) |
(+.f64 (*.f64 t z) x) |
(-.f64 x (*.f64 x z)) |
(fma.f64 z (neg.f64 x) x) |
(fma.f64 (neg.f64 x) z x) |
(fma.f64 z (-.f64 t x) x) |
(+.f64 x (*.f64 x (neg.f64 z))) |
(+.f64 x (*.f64 z (-.f64 t x))) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 t y))) |
(+.f64 (/.f64 (*.f64 t (*.f64 y z)) y) x) |
(fma.f64 (*.f64 z (/.f64 (neg.f64 x) y)) y x) |
(fma.f64 (*.f64 (/.f64 x (neg.f64 y)) y) z x) |
(fma.f64 (*.f64 (/.f64 (neg.f64 x) y) y) z x) |
(fma.f64 (/.f64 (neg.f64 x) y) (*.f64 y z) x) |
(fma.f64 (/.f64 (*.f64 y z) y) (-.f64 t x) x) |
(fma.f64 (/.f64 (-.f64 t x) y) (*.f64 y z) x) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (neg.f64 x) y))) |
(+.f64 (/.f64 (*.f64 x (*.f64 y (neg.f64 z))) y) x) |
(+.f64 (/.f64 (*.f64 y (*.f64 x (neg.f64 z))) y) x) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 t x) y))) |
(+.f64 (/.f64 (*.f64 y (*.f64 z (-.f64 t x))) y) x) |
(+.f64 (/.f64 (*.f64 (*.f64 y (-.f64 t x)) z) y) x) |
(+.f64 x (*.f64 (*.f64 y z) (*.f64 x (/.f64 #s(literal -1 binary64) y)))) |
(fma.f64 (*.f64 (*.f64 y z) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (*.f64 (*.f64 y z) x)) x) |
(/.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) z) (+.f64 x t)) |
(fma.f64 (*.f64 y (*.f64 z (-.f64 t x))) (/.f64 #s(literal 1 binary64) y) x) |
(fma.f64 (*.f64 z (-.f64 t x)) (*.f64 y (/.f64 #s(literal 1 binary64) y)) x) |
(fma.f64 (-.f64 t x) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y z)) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y (*.f64 z (-.f64 t x))) x) |
(+.f64 x (/.f64 (*.f64 (*.f64 y z) (neg.f64 (-.f64 t x))) (neg.f64 y))) |
(+.f64 x (/.f64 (*.f64 y z) (/.f64 y (neg.f64 x)))) |
(fma.f64 (/.f64 z y) (/.f64 (*.f64 y (neg.f64 x)) #s(literal 1 binary64)) x) |
(*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 t (*.f64 t t)) (/.f64 z (*.f64 y y)))) |
(*.f64 (/.f64 (*.f64 (*.f64 t (*.f64 t t)) #s(literal -1/3 binary64)) (*.f64 y y)) z) |
(/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 t (*.f64 (*.f64 t t) z))) (*.f64 y y)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 z (*.f64 x (*.f64 x x)))) (*.f64 y y)) |
(*.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 t t) (*.f64 y y)) #s(literal 1 binary64)) (*.f64 t z)) |
(*.f64 (fma.f64 (*.f64 t (*.f64 t t)) (/.f64 #s(literal -1/3 binary64) (*.f64 y y)) t) z) |
(fma.f64 (/.f64 y y) (/.f64 z (/.f64 #s(literal -1 binary64) x)) x) |
(*.f64 (-.f64 (fma.f64 t (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 t t)) (*.f64 y y)) t) x) z) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y)))) |
(fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 t x) (*.f64 (+.f64 t x) (-.f64 t x)))) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 y z) (/.f64 #s(literal -1 binary64) x)) x) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)) y))) |
(fma.f64 t (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 z (*.f64 t t)) (*.f64 y y)) z) (fma.f64 x (neg.f64 z) x)) |
(fma.f64 z (*.f64 (*.f64 t (*.f64 t t)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x) |
(fma.f64 z (*.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (+.f64 t x)) y))) |
(fma.f64 z (*.f64 (*.f64 (*.f64 t t) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x) |
(fma.f64 z (*.f64 (*.f64 (*.f64 x x) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x) |
(fma.f64 z (-.f64 t x) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 2/3 binary64))) (/.f64 z (*.f64 y y)) x)) |
(fma.f64 z (*.f64 (*.f64 (*.f64 t (+.f64 t x)) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x) |
(fma.f64 z (*.f64 (*.f64 (*.f64 x (+.f64 t x)) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x) |
(*.f64 (*.f64 t (*.f64 t t)) (fma.f64 #s(literal -1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 t t)))) |
(fma.f64 z (/.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (fma.f64 t t (*.f64 x (+.f64 t x)))) x) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (*.f64 (*.f64 t t) (-.f64 t x)) (*.f64 y (fma.f64 t t (*.f64 x (+.f64 t x))))))) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (*.f64 (*.f64 x x) (-.f64 t x)) (*.f64 y (fma.f64 t t (*.f64 x (+.f64 t x))))))) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (*.f64 t (*.f64 t y))))) |
(/.f64 (fma.f64 y (*.f64 y (fma.f64 (-.f64 t x) z x)) (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 t (*.f64 t t)) z))) (*.f64 y y)) |
(fma.f64 z (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (*.f64 (*.f64 t (+.f64 x t)) (-.f64 t x)) (*.f64 y (fma.f64 t t (*.f64 x (+.f64 t x))))))) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (*.f64 (*.f64 x (+.f64 x t)) (-.f64 t x)) (*.f64 y (fma.f64 t t (*.f64 x (+.f64 t x))))))) |
(fma.f64 z t (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z (-.f64 (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64)) (*.f64 t (*.f64 t t))))) (*.f64 y y))) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y)))) |
(+.f64 x (*.f64 (*.f64 y z) (/.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))))))) |
(fma.f64 z (*.f64 (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (fma.f64 x (*.f64 x x) (*.f64 t (*.f64 t t)))) (fma.f64 x (-.f64 x t) (*.f64 t t))) x) |
(*.f64 (*.f64 x (*.f64 x x)) (-.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 z (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 (*.f64 y z) x) (*.f64 (*.f64 y z) x)) (*.f64 y y))) (+.f64 x (*.f64 (/.f64 x y) (*.f64 y z)))) |
(-.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 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)))) (/.f64 z y) #s(literal 0 binary64)) y)) |
(fma.f64 z (-.f64 t x) (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))))) (/.f64 z (*.f64 y y)) x)) |
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 y (*.f64 z (-.f64 t x))) (*.f64 y (*.f64 z (-.f64 t x)))) (*.f64 y y)) (*.f64 x x)) (-.f64 (/.f64 (*.f64 y (*.f64 z (-.f64 t x))) y) x)) |
(fma.f64 z (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) (-.f64 (*.f64 t t) (*.f64 x (+.f64 x t))))) (-.f64 (*.f64 t t) (*.f64 x (+.f64 x t))))) x) |
(+.f64 x (*.f64 (*.f64 y z) (/.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 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)))) y) y) (-.f64 x t)) (neg.f64 y)))) |
(*.f64 (/.f64 (*.f64 z (-.f64 t x)) (*.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) (-.f64 (*.f64 t t) (*.f64 x (+.f64 x t))))) (/.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 t t) (*.f64 x (+.f64 x t)))))) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (/.f64 (*.f64 (*.f64 (fma.f64 x (+.f64 t x) (*.f64 t t)) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))) y) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))))))) |
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) z x) |
(fma.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) y) z x) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))) |
(fma.f64 (*.f64 (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y) (tanh.f64 (/.f64 t y))) y) z x) |
(+.f64 x (*.f64 (*.f64 y z) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y) (tanh.f64 (/.f64 t y))))) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y)) x) y))))) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (fma.f64 x (/.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 y (*.f64 y y))) (/.f64 x y))))) |
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (-.f64 (neg.f64 x) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (*.f64 x (*.f64 x x)))) (neg.f64 y)) y)) (neg.f64 y))) y) z x) |
(+.f64 x (*.f64 (*.f64 y z) (exp.f64 (*.f64 (log.f64 (/.f64 y (neg.f64 x))) #s(literal -1 binary64))))) |
(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))))) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.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)))))) |
| Outputs |
|---|
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) |
5 calls:
| 38.0ms | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 29.0ms | t |
| 27.0ms | x |
| 26.0ms | y |
| 25.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.4% | 1 | x |
| 98.4% | 1 | y |
| 98.4% | 1 | z |
| 98.4% | 1 | t |
| 98.4% | 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 |
|---|
(*.f64 z t) |
(*.f64 (neg.f64 x) z) |
(*.f64 z (-.f64 t x)) |
(*.f64 (-.f64 t x) z) |
(+.f64 x (*.f64 z t)) |
(+.f64 (*.f64 t z) x) |
(-.f64 x (*.f64 x z)) |
(fma.f64 z (neg.f64 x) x) |
(fma.f64 (neg.f64 x) z x) |
(fma.f64 z (-.f64 t x) x) |
(+.f64 x (*.f64 x (neg.f64 z))) |
(+.f64 x (*.f64 z (-.f64 t x))) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 t y))) |
(+.f64 (/.f64 (*.f64 t (*.f64 y z)) y) x) |
(fma.f64 (*.f64 z (/.f64 (neg.f64 x) y)) y x) |
(fma.f64 (*.f64 (/.f64 x (neg.f64 y)) y) z x) |
(fma.f64 (*.f64 (/.f64 (neg.f64 x) y) y) z x) |
(fma.f64 (/.f64 (neg.f64 x) y) (*.f64 y z) x) |
(fma.f64 (/.f64 (*.f64 y z) y) (-.f64 t x) x) |
(fma.f64 (/.f64 (-.f64 t x) y) (*.f64 y z) x) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (neg.f64 x) y))) |
(+.f64 (/.f64 (*.f64 x (*.f64 y (neg.f64 z))) y) x) |
(+.f64 (/.f64 (*.f64 y (*.f64 x (neg.f64 z))) y) x) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 t x) y))) |
(+.f64 (/.f64 (*.f64 y (*.f64 z (-.f64 t x))) y) x) |
(+.f64 (/.f64 (*.f64 (*.f64 y (-.f64 t x)) z) y) x) |
(+.f64 x (*.f64 (*.f64 y z) (*.f64 x (/.f64 #s(literal -1 binary64) y)))) |
(fma.f64 (*.f64 (*.f64 y z) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (*.f64 (*.f64 y z) x)) x) |
(/.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) z) (+.f64 x t)) |
(fma.f64 (*.f64 y (*.f64 z (-.f64 t x))) (/.f64 #s(literal 1 binary64) y) x) |
(fma.f64 (*.f64 z (-.f64 t x)) (*.f64 y (/.f64 #s(literal 1 binary64) y)) x) |
(fma.f64 (-.f64 t x) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y z)) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y (*.f64 z (-.f64 t x))) x) |
(+.f64 x (/.f64 (*.f64 (*.f64 y z) (neg.f64 (-.f64 t x))) (neg.f64 y))) |
(+.f64 x (/.f64 (*.f64 y z) (/.f64 y (neg.f64 x)))) |
(fma.f64 (/.f64 z y) (/.f64 (*.f64 y (neg.f64 x)) #s(literal 1 binary64)) x) |
(*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 t (*.f64 t t)) (/.f64 z (*.f64 y y)))) |
(*.f64 (/.f64 (*.f64 (*.f64 t (*.f64 t t)) #s(literal -1/3 binary64)) (*.f64 y y)) z) |
(/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 t (*.f64 (*.f64 t t) z))) (*.f64 y y)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 z (*.f64 x (*.f64 x x)))) (*.f64 y y)) |
(*.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 t t) (*.f64 y y)) #s(literal 1 binary64)) (*.f64 t z)) |
(*.f64 (fma.f64 (*.f64 t (*.f64 t t)) (/.f64 #s(literal -1/3 binary64) (*.f64 y y)) t) z) |
(fma.f64 (/.f64 y y) (/.f64 z (/.f64 #s(literal -1 binary64) x)) x) |
(*.f64 (-.f64 (fma.f64 t (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 t t)) (*.f64 y y)) t) x) z) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y)))) |
(fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 t x) (*.f64 (+.f64 t x) (-.f64 t x)))) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 y z) (/.f64 #s(literal -1 binary64) x)) x) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)) y))) |
(fma.f64 t (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 z (*.f64 t t)) (*.f64 y y)) z) (fma.f64 x (neg.f64 z) x)) |
(fma.f64 z (*.f64 (*.f64 t (*.f64 t t)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x) |
(fma.f64 z (*.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (+.f64 t x)) y))) |
(fma.f64 z (*.f64 (*.f64 (*.f64 t t) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x) |
(fma.f64 z (*.f64 (*.f64 (*.f64 x x) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x) |
(fma.f64 z (-.f64 t x) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 2/3 binary64))) (/.f64 z (*.f64 y y)) x)) |
(fma.f64 z (*.f64 (*.f64 (*.f64 t (+.f64 t x)) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x) |
(fma.f64 z (*.f64 (*.f64 (*.f64 x (+.f64 t x)) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x) |
(*.f64 (*.f64 t (*.f64 t t)) (fma.f64 #s(literal -1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 t t)))) |
(fma.f64 z (/.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (fma.f64 t t (*.f64 x (+.f64 t x)))) x) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (*.f64 (*.f64 t t) (-.f64 t x)) (*.f64 y (fma.f64 t t (*.f64 x (+.f64 t x))))))) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (*.f64 (*.f64 x x) (-.f64 t x)) (*.f64 y (fma.f64 t t (*.f64 x (+.f64 t x))))))) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (*.f64 t (*.f64 t y))))) |
(/.f64 (fma.f64 y (*.f64 y (fma.f64 (-.f64 t x) z x)) (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 t (*.f64 t t)) z))) (*.f64 y y)) |
(fma.f64 z (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (*.f64 (*.f64 t (+.f64 x t)) (-.f64 t x)) (*.f64 y (fma.f64 t t (*.f64 x (+.f64 t x))))))) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (*.f64 (*.f64 x (+.f64 x t)) (-.f64 t x)) (*.f64 y (fma.f64 t t (*.f64 x (+.f64 t x))))))) |
(fma.f64 z t (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z (-.f64 (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64)) (*.f64 t (*.f64 t t))))) (*.f64 y y))) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y)))) |
(+.f64 x (*.f64 (*.f64 y z) (/.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))))))) |
(fma.f64 z (*.f64 (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (fma.f64 x (*.f64 x x) (*.f64 t (*.f64 t t)))) (fma.f64 x (-.f64 x t) (*.f64 t t))) x) |
(*.f64 (*.f64 x (*.f64 x x)) (-.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 z (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 (*.f64 y z) x) (*.f64 (*.f64 y z) x)) (*.f64 y y))) (+.f64 x (*.f64 (/.f64 x y) (*.f64 y z)))) |
(-.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 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)))) (/.f64 z y) #s(literal 0 binary64)) y)) |
(fma.f64 z (-.f64 t x) (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))))) (/.f64 z (*.f64 y y)) x)) |
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 y (*.f64 z (-.f64 t x))) (*.f64 y (*.f64 z (-.f64 t x)))) (*.f64 y y)) (*.f64 x x)) (-.f64 (/.f64 (*.f64 y (*.f64 z (-.f64 t x))) y) x)) |
(fma.f64 z (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) (-.f64 (*.f64 t t) (*.f64 x (+.f64 x t))))) (-.f64 (*.f64 t t) (*.f64 x (+.f64 x t))))) x) |
(+.f64 x (*.f64 (*.f64 y z) (/.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 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)))) y) y) (-.f64 x t)) (neg.f64 y)))) |
(*.f64 (/.f64 (*.f64 z (-.f64 t x)) (*.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) (-.f64 (*.f64 t t) (*.f64 x (+.f64 x t))))) (/.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 t t) (*.f64 x (+.f64 x t)))))) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (/.f64 (*.f64 (*.f64 (fma.f64 x (+.f64 t x) (*.f64 t t)) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))) y) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))))))) |
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) z x) |
(fma.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) y) z x) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))) |
(fma.f64 (*.f64 (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y) (tanh.f64 (/.f64 t y))) y) z x) |
(+.f64 x (*.f64 (*.f64 y z) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y) (tanh.f64 (/.f64 t y))))) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y)) x) y))))) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (fma.f64 x (/.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 y (*.f64 y y))) (/.f64 x y))))) |
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (-.f64 (neg.f64 x) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (*.f64 x (*.f64 x x)))) (neg.f64 y)) y)) (neg.f64 y))) y) z x) |
(+.f64 x (*.f64 (*.f64 y z) (exp.f64 (*.f64 (log.f64 (/.f64 y (neg.f64 x))) #s(literal -1 binary64))))) |
| Outputs |
|---|
(fma.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) y) z x) |
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) z x) |
(fma.f64 z (-.f64 t x) x) |
5 calls:
| 40.0ms | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 27.0ms | z |
| 26.0ms | y |
| 25.0ms | t |
| 25.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.7% | 3 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 79.7% | 3 | x |
| 76.6% | 2 | y |
| 74.0% | 2 | z |
| 78.6% | 3 | t |
Compiled 39 to 28 computations (28.2% saved)
| Inputs |
|---|
(*.f64 z t) |
(*.f64 (neg.f64 x) z) |
(*.f64 z (-.f64 t x)) |
(*.f64 (-.f64 t x) z) |
(+.f64 x (*.f64 z t)) |
(+.f64 (*.f64 t z) x) |
(-.f64 x (*.f64 x z)) |
(fma.f64 z (neg.f64 x) x) |
(fma.f64 (neg.f64 x) z x) |
(fma.f64 z (-.f64 t x) x) |
(+.f64 x (*.f64 x (neg.f64 z))) |
(+.f64 x (*.f64 z (-.f64 t x))) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 t y))) |
(+.f64 (/.f64 (*.f64 t (*.f64 y z)) y) x) |
(fma.f64 (*.f64 z (/.f64 (neg.f64 x) y)) y x) |
(fma.f64 (*.f64 (/.f64 x (neg.f64 y)) y) z x) |
(fma.f64 (*.f64 (/.f64 (neg.f64 x) y) y) z x) |
(fma.f64 (/.f64 (neg.f64 x) y) (*.f64 y z) x) |
(fma.f64 (/.f64 (*.f64 y z) y) (-.f64 t x) x) |
(fma.f64 (/.f64 (-.f64 t x) y) (*.f64 y z) x) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (neg.f64 x) y))) |
(+.f64 (/.f64 (*.f64 x (*.f64 y (neg.f64 z))) y) x) |
(+.f64 (/.f64 (*.f64 y (*.f64 x (neg.f64 z))) y) x) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 t x) y))) |
(+.f64 (/.f64 (*.f64 y (*.f64 z (-.f64 t x))) y) x) |
(+.f64 (/.f64 (*.f64 (*.f64 y (-.f64 t x)) z) y) x) |
(+.f64 x (*.f64 (*.f64 y z) (*.f64 x (/.f64 #s(literal -1 binary64) y)))) |
(fma.f64 (*.f64 (*.f64 y z) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (*.f64 (*.f64 y z) x)) x) |
(/.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) z) (+.f64 x t)) |
(fma.f64 (*.f64 y (*.f64 z (-.f64 t x))) (/.f64 #s(literal 1 binary64) y) x) |
(fma.f64 (*.f64 z (-.f64 t x)) (*.f64 y (/.f64 #s(literal 1 binary64) y)) x) |
(fma.f64 (-.f64 t x) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y z)) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y (*.f64 z (-.f64 t x))) x) |
(+.f64 x (/.f64 (*.f64 (*.f64 y z) (neg.f64 (-.f64 t x))) (neg.f64 y))) |
(+.f64 x (/.f64 (*.f64 y z) (/.f64 y (neg.f64 x)))) |
(fma.f64 (/.f64 z y) (/.f64 (*.f64 y (neg.f64 x)) #s(literal 1 binary64)) x) |
(*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 t (*.f64 t t)) (/.f64 z (*.f64 y y)))) |
(*.f64 (/.f64 (*.f64 (*.f64 t (*.f64 t t)) #s(literal -1/3 binary64)) (*.f64 y y)) z) |
(/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 t (*.f64 (*.f64 t t) z))) (*.f64 y y)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 z (*.f64 x (*.f64 x x)))) (*.f64 y y)) |
(*.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 t t) (*.f64 y y)) #s(literal 1 binary64)) (*.f64 t z)) |
(*.f64 (fma.f64 (*.f64 t (*.f64 t t)) (/.f64 #s(literal -1/3 binary64) (*.f64 y y)) t) z) |
(fma.f64 (/.f64 y y) (/.f64 z (/.f64 #s(literal -1 binary64) x)) x) |
(*.f64 (-.f64 (fma.f64 t (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 t t)) (*.f64 y y)) t) x) z) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y)))) |
(fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 t x) (*.f64 (+.f64 t x) (-.f64 t x)))) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 y z) (/.f64 #s(literal -1 binary64) x)) x) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)) y))) |
(fma.f64 t (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 z (*.f64 t t)) (*.f64 y y)) z) (fma.f64 x (neg.f64 z) x)) |
(fma.f64 z (*.f64 (*.f64 t (*.f64 t t)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x) |
(fma.f64 z (*.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (+.f64 t x)) y))) |
(fma.f64 z (*.f64 (*.f64 (*.f64 t t) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x) |
(fma.f64 z (*.f64 (*.f64 (*.f64 x x) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x) |
(fma.f64 z (-.f64 t x) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 2/3 binary64))) (/.f64 z (*.f64 y y)) x)) |
(fma.f64 z (*.f64 (*.f64 (*.f64 t (+.f64 t x)) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x) |
(fma.f64 z (*.f64 (*.f64 (*.f64 x (+.f64 t x)) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x) |
(*.f64 (*.f64 t (*.f64 t t)) (fma.f64 #s(literal -1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 t t)))) |
(fma.f64 z (/.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (fma.f64 t t (*.f64 x (+.f64 t x)))) x) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (*.f64 (*.f64 t t) (-.f64 t x)) (*.f64 y (fma.f64 t t (*.f64 x (+.f64 t x))))))) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (*.f64 (*.f64 x x) (-.f64 t x)) (*.f64 y (fma.f64 t t (*.f64 x (+.f64 t x))))))) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (*.f64 t (*.f64 t y))))) |
(/.f64 (fma.f64 y (*.f64 y (fma.f64 (-.f64 t x) z x)) (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 t (*.f64 t t)) z))) (*.f64 y y)) |
(fma.f64 z (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (*.f64 (*.f64 t (+.f64 x t)) (-.f64 t x)) (*.f64 y (fma.f64 t t (*.f64 x (+.f64 t x))))))) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (*.f64 (*.f64 x (+.f64 x t)) (-.f64 t x)) (*.f64 y (fma.f64 t t (*.f64 x (+.f64 t x))))))) |
(fma.f64 z t (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z (-.f64 (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64)) (*.f64 t (*.f64 t t))))) (*.f64 y y))) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y)))) |
(+.f64 x (*.f64 (*.f64 y z) (/.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))))))) |
(fma.f64 z (*.f64 (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (fma.f64 x (*.f64 x x) (*.f64 t (*.f64 t t)))) (fma.f64 x (-.f64 x t) (*.f64 t t))) x) |
(*.f64 (*.f64 x (*.f64 x x)) (-.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 z (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 (*.f64 y z) x) (*.f64 (*.f64 y z) x)) (*.f64 y y))) (+.f64 x (*.f64 (/.f64 x y) (*.f64 y z)))) |
(-.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 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)))) (/.f64 z y) #s(literal 0 binary64)) y)) |
(fma.f64 z (-.f64 t x) (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))))) (/.f64 z (*.f64 y y)) x)) |
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 y (*.f64 z (-.f64 t x))) (*.f64 y (*.f64 z (-.f64 t x)))) (*.f64 y y)) (*.f64 x x)) (-.f64 (/.f64 (*.f64 y (*.f64 z (-.f64 t x))) y) x)) |
(fma.f64 z (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) (-.f64 (*.f64 t t) (*.f64 x (+.f64 x t))))) (-.f64 (*.f64 t t) (*.f64 x (+.f64 x t))))) x) |
(+.f64 x (*.f64 (*.f64 y z) (/.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 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)))) y) y) (-.f64 x t)) (neg.f64 y)))) |
(*.f64 (/.f64 (*.f64 z (-.f64 t x)) (*.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) (-.f64 (*.f64 t t) (*.f64 x (+.f64 x t))))) (/.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 t t) (*.f64 x (+.f64 x t)))))) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (/.f64 (*.f64 (*.f64 (fma.f64 x (+.f64 t x) (*.f64 t t)) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))) y) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))))))) |
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) z x) |
| Outputs |
|---|
(+.f64 (/.f64 (*.f64 t (*.f64 y z)) y) x) |
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) z x) |
(fma.f64 z (-.f64 t x) x) |
3 calls:
| 39.0ms | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 24.0ms | t |
| 22.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.0% | 3 | t |
| 78.4% | 3 | x |
| 76.8% | 3 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
Compiled 29 to 20 computations (31% saved)
| Inputs |
|---|
(*.f64 z t) |
(*.f64 (neg.f64 x) z) |
(*.f64 z (-.f64 t x)) |
(*.f64 (-.f64 t x) z) |
(+.f64 x (*.f64 z t)) |
(+.f64 (*.f64 t z) x) |
(-.f64 x (*.f64 x z)) |
(fma.f64 z (neg.f64 x) x) |
(fma.f64 (neg.f64 x) z x) |
(fma.f64 z (-.f64 t x) x) |
(+.f64 x (*.f64 x (neg.f64 z))) |
(+.f64 x (*.f64 z (-.f64 t x))) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 t y))) |
(+.f64 (/.f64 (*.f64 t (*.f64 y z)) y) x) |
(fma.f64 (*.f64 z (/.f64 (neg.f64 x) y)) y x) |
(fma.f64 (*.f64 (/.f64 x (neg.f64 y)) y) z x) |
(fma.f64 (*.f64 (/.f64 (neg.f64 x) y) y) z x) |
(fma.f64 (/.f64 (neg.f64 x) y) (*.f64 y z) x) |
(fma.f64 (/.f64 (*.f64 y z) y) (-.f64 t x) x) |
(fma.f64 (/.f64 (-.f64 t x) y) (*.f64 y z) x) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (neg.f64 x) y))) |
(+.f64 (/.f64 (*.f64 x (*.f64 y (neg.f64 z))) y) x) |
(+.f64 (/.f64 (*.f64 y (*.f64 x (neg.f64 z))) y) x) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 t x) y))) |
(+.f64 (/.f64 (*.f64 y (*.f64 z (-.f64 t x))) y) x) |
(+.f64 (/.f64 (*.f64 (*.f64 y (-.f64 t x)) z) y) x) |
(+.f64 x (*.f64 (*.f64 y z) (*.f64 x (/.f64 #s(literal -1 binary64) y)))) |
(fma.f64 (*.f64 (*.f64 y z) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (*.f64 (*.f64 y z) x)) x) |
(/.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) z) (+.f64 x t)) |
(fma.f64 (*.f64 y (*.f64 z (-.f64 t x))) (/.f64 #s(literal 1 binary64) y) x) |
(fma.f64 (*.f64 z (-.f64 t x)) (*.f64 y (/.f64 #s(literal 1 binary64) y)) x) |
(fma.f64 (-.f64 t x) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y z)) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y (*.f64 z (-.f64 t x))) x) |
(+.f64 x (/.f64 (*.f64 (*.f64 y z) (neg.f64 (-.f64 t x))) (neg.f64 y))) |
(+.f64 x (/.f64 (*.f64 y z) (/.f64 y (neg.f64 x)))) |
(fma.f64 (/.f64 z y) (/.f64 (*.f64 y (neg.f64 x)) #s(literal 1 binary64)) x) |
(*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 t (*.f64 t t)) (/.f64 z (*.f64 y y)))) |
(*.f64 (/.f64 (*.f64 (*.f64 t (*.f64 t t)) #s(literal -1/3 binary64)) (*.f64 y y)) z) |
(/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 t (*.f64 (*.f64 t t) z))) (*.f64 y y)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 z (*.f64 x (*.f64 x x)))) (*.f64 y y)) |
(*.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 t t) (*.f64 y y)) #s(literal 1 binary64)) (*.f64 t z)) |
(*.f64 (fma.f64 (*.f64 t (*.f64 t t)) (/.f64 #s(literal -1/3 binary64) (*.f64 y y)) t) z) |
(fma.f64 (/.f64 y y) (/.f64 z (/.f64 #s(literal -1 binary64) x)) x) |
(*.f64 (-.f64 (fma.f64 t (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 t t)) (*.f64 y y)) t) x) z) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y)))) |
(fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 t x) (*.f64 (+.f64 t x) (-.f64 t x)))) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 y z) (/.f64 #s(literal -1 binary64) x)) x) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)) y))) |
(fma.f64 t (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 z (*.f64 t t)) (*.f64 y y)) z) (fma.f64 x (neg.f64 z) x)) |
(fma.f64 z (*.f64 (*.f64 t (*.f64 t t)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x) |
(fma.f64 z (*.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (+.f64 t x)) y))) |
(fma.f64 z (*.f64 (*.f64 (*.f64 t t) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x) |
(fma.f64 z (*.f64 (*.f64 (*.f64 x x) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x) |
(fma.f64 z (-.f64 t x) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 2/3 binary64))) (/.f64 z (*.f64 y y)) x)) |
(fma.f64 z (*.f64 (*.f64 (*.f64 t (+.f64 t x)) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x) |
(fma.f64 z (*.f64 (*.f64 (*.f64 x (+.f64 t x)) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x) |
(*.f64 (*.f64 t (*.f64 t t)) (fma.f64 #s(literal -1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 z (*.f64 t t)))) |
(fma.f64 z (/.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (fma.f64 t t (*.f64 x (+.f64 t x)))) x) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (*.f64 (*.f64 t t) (-.f64 t x)) (*.f64 y (fma.f64 t t (*.f64 x (+.f64 t x))))))) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (*.f64 (*.f64 x x) (-.f64 t x)) (*.f64 y (fma.f64 t t (*.f64 x (+.f64 t x))))))) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (*.f64 t (*.f64 t y))))) |
(/.f64 (fma.f64 y (*.f64 y (fma.f64 (-.f64 t x) z x)) (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 t (*.f64 t t)) z))) (*.f64 y y)) |
(fma.f64 z (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (*.f64 (*.f64 t (+.f64 x t)) (-.f64 t x)) (*.f64 y (fma.f64 t t (*.f64 x (+.f64 t x))))))) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (*.f64 (*.f64 x (+.f64 x t)) (-.f64 t x)) (*.f64 y (fma.f64 t t (*.f64 x (+.f64 t x))))))) |
(fma.f64 z t (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z (-.f64 (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64)) (*.f64 t (*.f64 t t))))) (*.f64 y y))) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y)))) |
(+.f64 x (*.f64 (*.f64 y z) (/.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))))))) |
(fma.f64 z (*.f64 (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (fma.f64 x (*.f64 x x) (*.f64 t (*.f64 t t)))) (fma.f64 x (-.f64 x t) (*.f64 t t))) x) |
(*.f64 (*.f64 x (*.f64 x x)) (-.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 z (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 (*.f64 y z) x) (*.f64 (*.f64 y z) x)) (*.f64 y y))) (+.f64 x (*.f64 (/.f64 x y) (*.f64 y z)))) |
(-.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 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)))) (/.f64 z y) #s(literal 0 binary64)) y)) |
(fma.f64 z (-.f64 t x) (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))))) (/.f64 z (*.f64 y y)) x)) |
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 y (*.f64 z (-.f64 t x))) (*.f64 y (*.f64 z (-.f64 t x)))) (*.f64 y y)) (*.f64 x x)) (-.f64 (/.f64 (*.f64 y (*.f64 z (-.f64 t x))) y) x)) |
(fma.f64 z (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) (-.f64 (*.f64 t t) (*.f64 x (+.f64 x t))))) (-.f64 (*.f64 t t) (*.f64 x (+.f64 x t))))) x) |
(+.f64 x (*.f64 (*.f64 y z) (/.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 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)))) y) y) (-.f64 x t)) (neg.f64 y)))) |
(*.f64 (/.f64 (*.f64 z (-.f64 t x)) (*.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) (-.f64 (*.f64 t t) (*.f64 x (+.f64 x t))))) (/.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 t t) (*.f64 x (+.f64 x t)))))) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (/.f64 (*.f64 (*.f64 (fma.f64 x (+.f64 t x) (*.f64 t t)) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))) y) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))))))) |
| Outputs |
|---|
(+.f64 (/.f64 (*.f64 t (*.f64 y z)) y) x) |
(fma.f64 z (neg.f64 x) x) |
(fma.f64 z (-.f64 t x) x) |
5 calls:
| 26.0ms | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 24.0ms | x |
| 24.0ms | t |
| 23.0ms | y |
| 23.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.2% | 2 | t |
| 68.0% | 3 | z |
| 68.2% | 4 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 69.7% | 3 | y |
| 67.6% | 4 | x |
Compiled 39 to 28 computations (28.2% saved)
| Inputs |
|---|
(*.f64 z t) |
(*.f64 (neg.f64 x) z) |
(*.f64 z (-.f64 t x)) |
(*.f64 (-.f64 t x) z) |
(+.f64 x (*.f64 z t)) |
(+.f64 (*.f64 t z) x) |
(-.f64 x (*.f64 x z)) |
(fma.f64 z (neg.f64 x) x) |
(fma.f64 (neg.f64 x) z x) |
(fma.f64 z (-.f64 t x) x) |
(+.f64 x (*.f64 x (neg.f64 z))) |
(+.f64 x (*.f64 z (-.f64 t x))) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 t y))) |
| Outputs |
|---|
(fma.f64 z (neg.f64 x) x) |
(fma.f64 z (-.f64 t x) x) |
1 calls:
| 5.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.1% | 2 | y |
Compiled 5 to 4 computations (20% saved)
| Inputs |
|---|
(*.f64 z t) |
(*.f64 (neg.f64 x) z) |
(*.f64 z (-.f64 t x)) |
(*.f64 (-.f64 t x) z) |
(+.f64 x (*.f64 z t)) |
(+.f64 (*.f64 t z) x) |
(-.f64 x (*.f64 x z)) |
(fma.f64 z (neg.f64 x) x) |
(fma.f64 (neg.f64 x) z x) |
| Outputs |
|---|
(*.f64 z (-.f64 t x)) |
(fma.f64 z (neg.f64 x) x) |
(*.f64 z (-.f64 t x)) |
2 calls:
| 4.0ms | y |
| 3.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.3% | 3 | z |
| 60.5% | 2 | y |
Compiled 10 to 8 computations (20% saved)
| Inputs |
|---|
(*.f64 z t) |
(*.f64 (neg.f64 x) z) |
(*.f64 z (-.f64 t x)) |
(*.f64 (-.f64 t x) z) |
(+.f64 x (*.f64 z t)) |
(+.f64 (*.f64 t z) x) |
(-.f64 x (*.f64 x z)) |
| Outputs |
|---|
(*.f64 z (-.f64 t x)) |
(-.f64 x (*.f64 x z)) |
(*.f64 z (-.f64 t x)) |
1 calls:
| 6.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.3% | 3 | z |
Compiled 5 to 4 computations (20% saved)
| Inputs |
|---|
(*.f64 z t) |
(*.f64 (neg.f64 x) z) |
(*.f64 z (-.f64 t x)) |
(*.f64 (-.f64 t x) z) |
(+.f64 x (*.f64 z t)) |
(+.f64 (*.f64 t z) x) |
| Outputs |
|---|
(*.f64 z (-.f64 t x)) |
(+.f64 x (*.f64 z t)) |
(*.f64 z (-.f64 t x)) |
5 calls:
| 3.0ms | t |
| 3.0ms | x |
| 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 |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.5% | 1 | y |
| 53.5% | 1 | x |
| 59.7% | 3 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 53.5% | 1 | t |
| 61.1% | 3 | z |
Compiled 39 to 28 computations (28.2% saved)
| Inputs |
|---|
(*.f64 z t) |
(*.f64 (neg.f64 x) z) |
(*.f64 z (-.f64 t x)) |
(*.f64 (-.f64 t x) z) |
| Outputs |
|---|
(*.f64 z (-.f64 t x)) |
5 calls:
| 3.0ms | z |
| 2.0ms | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 2.0ms | t |
| 2.0ms | y |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 26.8% | 1 | x |
| 26.8% | 1 | t |
| 26.8% | 1 | y |
| 26.8% | 1 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 26.8% | 1 | z |
Compiled 39 to 28 computations (28.2% saved)
| Inputs |
|---|
(*.f64 z t) |
(*.f64 (neg.f64 x) z) |
| Outputs |
|---|
(*.f64 z t) |
(*.f64 (neg.f64 x) z) |
(*.f64 z t) |
5 calls:
| 5.0ms | x |
| 2.0ms | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 2.0ms | t |
| 1.0ms | y |
| 1.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 22.3% | 3 | t |
| 21.5% | 3 | x |
| 17.6% | 2 | z |
| 19.3% | 2 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 16.0% | 1 | y |
Compiled 39 to 28 computations (28.2% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(*.f64 z t) |
| Outputs |
|---|
(*.f64 z t) |
5 calls:
| 1.0ms | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 1.0ms | t |
| 1.0ms | y |
| 1.0ms | z |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 16.0% | 1 | y |
| 16.0% | 1 | z |
| 16.0% | 1 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 16.0% | 1 | x |
| 16.0% | 1 | t |
Compiled 39 to 28 computations (28.2% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0855992761117893e+170 | 2.3584366781949554e+170 |
| 0.0ms | -7.052030144991485e+99 | -1.1553316441279654e+92 |
Compiled 22 to 19 computations (13.6% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 7.0ms | 1.0855992761117893e+170 | 1.7171429750023294e+170 |
| 15.0ms | -4.276410966728915e+197 | -4.144615274956695e+193 |
| 14.0ms | 189× | 0 | valid |
| 0.0ms | 3× | 1 | valid |
Compiled 394 to 251 computations (36.3% saved)
ival-div: 3.0ms (33.3% of total)ival-mult: 2.0ms (22.2% of total)ival-tanh: 2.0ms (22.2% of total)ival-sub: 1.0ms (11.1% of total)ival-add: 1.0ms (11.1% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 5.7858422427374305e-68 | 1.0474197970404338e-66 |
| 9.0ms | 1.0863437476243116e-250 | 3.6907037674420215e-250 |
| 13.0ms | 186× | 0 | valid |
| 1.0ms | 6× | 1 | valid |
Compiled 289 to 197 computations (31.8% saved)
ival-div: 3.0ms (33% of total)ival-mult: 3.0ms (33% of total)ival-tanh: 2.0ms (22% of total)ival-sub: 1.0ms (11% of total)ival-add: 1.0ms (11% 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 |
|---|---|---|
| 0.0ms | 5.7858422427374305e-68 | 1.0474197970404338e-66 |
Compiled 169 to 117 computations (30.8% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 7.0ms | 11979.96071376097 | 23833.6720426025 |
| 34.0ms | -6.319960331149895e+22 | -47606055.11532728 |
| 16.0ms | 224× | 0 | valid |
Compiled 302 to 215 computations (28.8% saved)
ival-div: 3.0ms (30.4% of total)ival-mult: 3.0ms (30.4% of total)ival-tanh: 2.0ms (20.2% of total)ival-sub: 1.0ms (10.1% of total)ival-add: 1.0ms (10.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 11979.96071376097 | 23833.6720426025 |
| 1.0ms | -6.319960331149895e+22 | -47606055.11532728 |
Compiled 302 to 215 computations (28.8% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 31.0ms | 2383.806615644347 | 11979.96071376097 |
| 24.0ms | -2522.496445885582 | -5.4273863586933674e-5 |
| 38.0ms | 240× | 0 | valid |
Compiled 322 to 229 computations (28.9% saved)
ival-div: 3.0ms (27% of total)ival-mult: 3.0ms (27% of total)ival-tanh: 2.0ms (18% of total)ival-sub: 1.0ms (9% of total)ival-add: 1.0ms (9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 60.0ms | 2.720191876155209e-151 | 2.4428831382982022e-145 |
| 10.0ms | -3.132155824518019e-125 | -4.8478386408634506e-126 |
| 45.0ms | 2× | 1 | valid |
| 17.0ms | 238× | 0 | valid |
Compiled 277 to 214 computations (22.7% saved)
ival-div: 48.0ms (86.8% of total)ival-mult: 3.0ms (5.4% of total)ival-tanh: 2.0ms (3.6% of total)ival-add: 1.0ms (1.8% of total)ival-sub: 1.0ms (1.8% 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 |
| 32× | *-commutative_binary64 |
| 28× | +-commutative_binary64 |
| 22× | sub-neg_binary64 |
| 12× | neg-sub0_binary64 |
| 12× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 71 | 256 |
| 1 | 97 | 256 |
| 2 | 117 | 256 |
| 3 | 128 | 256 |
| 4 | 135 | 256 |
| 5 | 137 | 256 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) |
(if (<=.f64 (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal -5000000000000000079514455548799590234180404281972640694890663778873919386085190530406734992928407552 binary64)) (fma.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) y) z x) (if (<=.f64 (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal 200000000000000006883810861862490561835427540594835494941387295350130195925262895107784531629489654636994358170294845830155663442418038839286715919000600643149350509215744 binary64)) (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) z x) (fma.f64 z (-.f64 t x) x))) |
(if (<=.f64 x #s(literal -440000000000000021035583265156523635101303663126595332654103571670212740800485833393440384105891470633215771453567974749134060908857398815626270903726860881566363177356558492411311892547552411648 binary64)) (+.f64 (/.f64 (*.f64 t (*.f64 y z)) y) x) (if (<=.f64 x #s(literal 109999999999999994400630423064551839307667648583067232982206938027896243352401581704046671344736426289034888276829765823563314162789685763979975787087731391228588475809792 binary64)) (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) z x) (fma.f64 z (-.f64 t x) x))) |
(if (<=.f64 y #s(literal 2821397184715009/8061134813471454564702450331367746071149403778627342561766978592325956765086744071570087522699847227396765060321916636335485039665263146015175460486800225477728068298324662539195732386420081192825687147647265448061340763744378078290380812053940375922997109693874176 binary64)) (+.f64 (/.f64 (*.f64 t (*.f64 y z)) y) x) (if (<=.f64 y #s(literal 6070840288205403/60708402882054033466233184588234965832575213720379360039119137804340758912662765568 binary64)) (fma.f64 z (neg.f64 x) x) (fma.f64 z (-.f64 t x) x))) |
(if (<=.f64 y #s(literal 6070840288205403/60708402882054033466233184588234965832575213720379360039119137804340758912662765568 binary64)) (fma.f64 z (neg.f64 x) x) (fma.f64 z (-.f64 t x) x)) |
(if (<=.f64 z #s(literal -52000000 binary64)) (*.f64 z (-.f64 t x)) (if (<=.f64 z #s(literal 14000 binary64)) (fma.f64 z (neg.f64 x) x) (*.f64 z (-.f64 t x)))) |
(if (<=.f64 z #s(literal -52000000 binary64)) (*.f64 z (-.f64 t x)) (if (<=.f64 z #s(literal 14000 binary64)) (-.f64 x (*.f64 x z)) (*.f64 z (-.f64 t x)))) |
(if (<=.f64 z #s(literal -2300 binary64)) (*.f64 z (-.f64 t x)) (if (<=.f64 z #s(literal 11500 binary64)) (+.f64 x (*.f64 z t)) (*.f64 z (-.f64 t x)))) |
(*.f64 z (-.f64 t x)) |
(if (<=.f64 t #s(literal -2896153440234563/381072821083495145432323880589986121307201921712032611188861933548019011086397170424842053596617672260721060927906081896416989218663120764928 binary64)) (*.f64 z t) (if (<=.f64 t #s(literal 4722059918752539/57586096570152913699974892898380567793532123114264532903689671329431521032595044740083720782129802971518987656109067457577065805510327036019308994315074097345724416 binary64)) (*.f64 (neg.f64 x) z) (*.f64 z t))) |
(*.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 (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal -5000000000000000079514455548799590234180404281972640694890663778873919386085190530406734992928407552 binary64)) (fma.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) y) z x) (if (<=.f64 (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal 200000000000000006883810861862490561835427540594835494941387295350130195925262895107784531629489654636994358170294845830155663442418038839286715919000600643149350509215744 binary64)) (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) z x) (fma.f64 z (-.f64 t x) x))) |
(if (<=.f64 (+.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z))) #s(literal -5000000000000000079514455548799590234180404281972640694890663778873919386085190530406734992928407552 binary64)) (fma.f64 (*.f64 y (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))) z x) (if (<=.f64 (+.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z))) #s(literal 200000000000000006883810861862490561835427540594835494941387295350130195925262895107784531629489654636994358170294845830155663442418038839286715919000600643149350509215744 binary64)) (fma.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))) z x) (fma.f64 z (-.f64 t x) x))) |
(if (<=.f64 x #s(literal -440000000000000021035583265156523635101303663126595332654103571670212740800485833393440384105891470633215771453567974749134060908857398815626270903726860881566363177356558492411311892547552411648 binary64)) (+.f64 (/.f64 (*.f64 t (*.f64 y z)) y) x) (if (<=.f64 x #s(literal 109999999999999994400630423064551839307667648583067232982206938027896243352401581704046671344736426289034888276829765823563314162789685763979975787087731391228588475809792 binary64)) (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) z x) (fma.f64 z (-.f64 t x) x))) |
(if (<=.f64 x #s(literal -440000000000000021035583265156523635101303663126595332654103571670212740800485833393440384105891470633215771453567974749134060908857398815626270903726860881566363177356558492411311892547552411648 binary64)) (+.f64 x (/.f64 (*.f64 t (*.f64 y z)) y)) (if (<=.f64 x #s(literal 109999999999999994400630423064551839307667648583067232982206938027896243352401581704046671344736426289034888276829765823563314162789685763979975787087731391228588475809792 binary64)) (fma.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))) z x) (fma.f64 z (-.f64 t x) x))) |
(if (<=.f64 y #s(literal 2821397184715009/8061134813471454564702450331367746071149403778627342561766978592325956765086744071570087522699847227396765060321916636335485039665263146015175460486800225477728068298324662539195732386420081192825687147647265448061340763744378078290380812053940375922997109693874176 binary64)) (+.f64 (/.f64 (*.f64 t (*.f64 y z)) y) x) (if (<=.f64 y #s(literal 6070840288205403/60708402882054033466233184588234965832575213720379360039119137804340758912662765568 binary64)) (fma.f64 z (neg.f64 x) x) (fma.f64 z (-.f64 t x) x))) |
(if (<=.f64 y #s(literal 2821397184715009/8061134813471454564702450331367746071149403778627342561766978592325956765086744071570087522699847227396765060321916636335485039665263146015175460486800225477728068298324662539195732386420081192825687147647265448061340763744378078290380812053940375922997109693874176 binary64)) (+.f64 x (/.f64 (*.f64 t (*.f64 y z)) y)) (if (<=.f64 y #s(literal 6070840288205403/60708402882054033466233184588234965832575213720379360039119137804340758912662765568 binary64)) (fma.f64 z (neg.f64 x) x) (fma.f64 z (-.f64 t x) x))) |
(if (<=.f64 y #s(literal 6070840288205403/60708402882054033466233184588234965832575213720379360039119137804340758912662765568 binary64)) (fma.f64 z (neg.f64 x) x) (fma.f64 z (-.f64 t x) x)) |
(if (<=.f64 z #s(literal -52000000 binary64)) (*.f64 z (-.f64 t x)) (if (<=.f64 z #s(literal 14000 binary64)) (fma.f64 z (neg.f64 x) x) (*.f64 z (-.f64 t x)))) |
(if (<=.f64 z #s(literal -52000000 binary64)) (*.f64 z (-.f64 t x)) (if (<=.f64 z #s(literal 14000 binary64)) (-.f64 x (*.f64 x z)) (*.f64 z (-.f64 t x)))) |
(if (<=.f64 z #s(literal -2300 binary64)) (*.f64 z (-.f64 t x)) (if (<=.f64 z #s(literal 11500 binary64)) (+.f64 x (*.f64 z t)) (*.f64 z (-.f64 t x)))) |
(if (<=.f64 z #s(literal -2300 binary64)) (*.f64 z (-.f64 t x)) (if (<=.f64 z #s(literal 11500 binary64)) (+.f64 x (*.f64 t z)) (*.f64 z (-.f64 t x)))) |
(*.f64 z (-.f64 t x)) |
(if (<=.f64 t #s(literal -2896153440234563/381072821083495145432323880589986121307201921712032611188861933548019011086397170424842053596617672260721060927906081896416989218663120764928 binary64)) (*.f64 z t) (if (<=.f64 t #s(literal 4722059918752539/57586096570152913699974892898380567793532123114264532903689671329431521032595044740083720782129802971518987656109067457577065805510327036019308994315074097345724416 binary64)) (*.f64 (neg.f64 x) z) (*.f64 z t))) |
(if (<=.f64 t #s(literal -2896153440234563/381072821083495145432323880589986121307201921712032611188861933548019011086397170424842053596617672260721060927906081896416989218663120764928 binary64)) (*.f64 t z) (if (<=.f64 t #s(literal 4722059918752539/57586096570152913699974892898380567793532123114264532903689671329431521032595044740083720782129802971518987656109067457577065805510327036019308994315074097345724416 binary64)) (neg.f64 (*.f64 x z)) (*.f64 t z))) |
(*.f64 z t) |
(*.f64 t z) |
| 12 310× | lower-fma.f64 |
| 12 310× | lower-fma.f32 |
| 11 080× | lower-fma.f64 |
| 11 080× | lower-fma.f32 |
| 10 022× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 228 |
| 0 | 69 | 207 |
| 1 | 312 | 207 |
| 2 | 3062 | 207 |
| 0 | 8693 | 198 |
| 0 | 920 | 18283 |
| 1 | 3067 | 16419 |
| 0 | 8535 | 15863 |
| 0 | 727 | 8531 |
| 1 | 2366 | 7333 |
| 0 | 8717 | 7123 |
| 0 | 571 | 9274 |
| 1 | 1918 | 8150 |
| 2 | 6737 | 7877 |
| 0 | 8875 | 7603 |
| 0 | 447 | 9354 |
| 1 | 1515 | 7627 |
| 2 | 6277 | 7212 |
| 0 | 9374 | 7079 |
| 0 | 12 | 44 |
| 0 | 20 | 44 |
| 1 | 99 | 44 |
| 2 | 871 | 44 |
| 0 | 8208 | 43 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 824 to 411 computations (50.1% saved)
(abs y)
Compiled 704 to 256 computations (63.6% saved)
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