
Time bar (total: 7.8s)
| 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)
| 706.0ms | 8 058× | 0 | valid |
| 31.0ms | 198× | 1 | valid |
ival-mult: 165.0ms (34.2% of total)ival-div: 154.0ms (31.9% of total)ival-tanh: 77.0ms (16% of total)ival-add: 37.0ms (7.7% of total)ival-sub: 36.0ms (7.5% of total)ival-true: 6.0ms (1.2% of total)adjust: 4.0ms (0.8% of total)ival-assert: 3.0ms (0.6% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 23 | 1 | (-3.726565214185987e+28 1.7260258833856168e-161 -1.023404094027629e-163 1.4258261382563212e+174) | 3 | (2.1736955845380204e-179 -1.8369979576415333e+141 -3.8141754263399273e-44 -2.3933713743895498e-261) | (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
| 2 | 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 | 11 | 0 |
*.f64 | (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) | o*u | 4 | 0 |
| ↳ | (*.f64 y z) | overflow | 38 | |
| ↳ | (/.f64 t y) | underflow | 35 | |
| ↳ | (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) | underflow | 58 | |
| ↳ | (tanh.f64 (/.f64 x y)) | underflow | 28 | |
| ↳ | (/.f64 x y) | underflow | 28 | |
| ↳ | (tanh.f64 (/.f64 t y)) | underflow | 35 | |
*.f64 | (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) | n*u | 3 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 17 | 2 |
| - | 1 | 236 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 17 | 0 | 2 |
| - | 1 | 0 | 236 |
| number | freq |
|---|---|
| 0 | 238 |
| 1 | 18 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 36.0ms | 418× | 0 | valid |
| 28.0ms | 80× | 2 | valid |
| 2.0ms | 14× | 1 | valid |
Compiled 193 to 52 computations (73.1% saved)
ival-div: 10.0ms (27.1% of total)ival-mult: 10.0ms (27.1% of total)ival-tanh: 7.0ms (19% of total)ival-sub: 3.0ms (8.1% of total)adjust: 3.0ms (8.1% of total)ival-add: 3.0ms (8.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 76 | 226 |
| 1 | 399 | 224 |
| 2 | 1184 | 210 |
| 3 | 4722 | 210 |
| 0 | 12 | 15 |
| 0 | 20 | 15 |
| 1 | 62 | 15 |
| 2 | 165 | 15 |
| 3 | 427 | 15 |
| 4 | 1612 | 15 |
| 5 | 6409 | 15 |
| 0 | 8449 | 14 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| Outputs |
|---|
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) x) |
(abs y)
Compiled 15 to 12 computations (20% saved)
Compiled 0 to 4 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 93.3% | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
Compiled 15 to 12 computations (20% 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))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 58 |
| 0 | 20 | 58 |
| 1 | 62 | 58 |
| 2 | 165 | 58 |
| 3 | 427 | 58 |
| 4 | 1612 | 58 |
| 5 | 6409 | 58 |
| 0 | 8449 | 57 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
x |
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
(*.f64 y z) |
y |
z |
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
(tanh.f64 (/.f64 t y)) |
(/.f64 t y) |
t |
(tanh.f64 (/.f64 x y)) |
(/.f64 x y) |
| Outputs |
|---|
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) x) |
x |
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)) |
(*.f64 y z) |
(*.f64 z y) |
y |
z |
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
(tanh.f64 (/.f64 t y)) |
(/.f64 t y) |
t |
(tanh.f64 (/.f64 x y)) |
(/.f64 x y) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) | |
| accuracy | 0.015625 | (tanh.f64 (/.f64 t y)) | |
| accuracy | 0.3519264849899325 | (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) | |
| accuracy | 5.1269027621443914 | (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
| 49.0ms | 7× | 1 | valid |
| 17.0ms | 209× | 0 | valid |
| 9.0ms | 40× | 2 | valid |
Compiled 118 to 26 computations (78% saved)
ival-div: 53.0ms (81.8% of total)ival-mult: 4.0ms (6.2% of total)ival-tanh: 3.0ms (4.6% of total)ival-add: 2.0ms (3.1% of total)ival-sub: 1.0ms (1.5% of total)adjust: 1.0ms (1.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
(*.f64 y z) |
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
(tanh.f64 (/.f64 t y)) |
| Outputs |
|---|
(* 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)))))))))) |
(+ (* -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 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 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)))))))))) |
(- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))) |
(- (+ (* -1 (/ x y)) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))) |
(- (+ (* x (- (* 1/3 (/ (pow x 2) (pow y 3))) (/ 1 y))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))) |
(- (+ (* x (- (* (pow x 2) (+ (* -2/15 (/ (pow x 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))) |
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))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(* -1 (* 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 (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(* y z) |
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t 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)))))) |
(* z (- t 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 (- 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)))) |
(+ (* 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))))) |
(/ (- t x) y) |
(/ (- (+ t (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y))) (+ x (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)))) y) |
(/ (- (+ t (+ (* 1/2 (/ (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3)))) (pow y 2))) (+ (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y)) (* 1/2 (/ (pow x 3) (pow y 2)))))) (+ x (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3)))) (pow y 2))) (+ (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)) (* 1/2 (/ (pow t 3) (pow y 2))))))) y) |
(/ (- (+ t (+ (* -1/2 (/ (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (pow y 3))) (+ (* 1/4 (/ (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/6 (pow t 3)))))) (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (* 1/12 (pow t 4))))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3)))) (pow y 2))) (+ (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y)) (* 1/2 (/ (pow x 3) (pow y 2))))))))) (+ x (+ (* -1/2 (/ (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (* -1/2 (pow t 3)))) (pow y 3))) (+ (* 1/4 (/ (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3)))) (pow y 2))) (+ (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)) (* 1/2 (/ (pow t 3) (pow y 2)))))))))) y) |
(/ 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) |
(+ 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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(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y)) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
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(* 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))) |
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12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | z | @ | 0 | ((+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y))) |
| 10.0ms | x | @ | inf | ((+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y))) |
| 6.0ms | z | @ | inf | ((+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y))) |
| 6.0ms | y | @ | inf | ((+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y))) |
| 5.0ms | y | @ | 0 | ((+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 439 | 3877 |
| 1 | 1484 | 2693 |
| 2 | 6213 | 2304 |
| 0 | 9215 | 2190 |
| 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))))))))) |
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(- (+ (* -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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x |
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(* y z) |
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(* z (- t x)) |
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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) |
(/ (- (+ t (+ (* 1/2 (/ (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3)))) (pow y 2))) (+ (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y)) (* 1/2 (/ (pow x 3) (pow y 2)))))) (+ x (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3)))) (pow y 2))) (+ (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)) (* 1/2 (/ (pow t 3) (pow y 2))))))) y) |
(/ (- (+ t (+ (* -1/2 (/ (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (pow y 3))) (+ (* 1/4 (/ (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/6 (pow t 3)))))) (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (* 1/12 (pow t 4))))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3)))) (pow y 2))) (+ (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y)) (* 1/2 (/ (pow x 3) (pow y 2))))))))) (+ x (+ (* -1/2 (/ (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (* -1/2 (pow t 3)))) (pow y 3))) (+ (* 1/4 (/ (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3)))) (pow y 2))) (+ (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)) (* 1/2 (/ (pow t 3) (pow y 2)))))))))) y) |
(/ 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) |
(+ x (* -1 (* z (- (* -1 t) (* -1 x))))) |
(+ x (+ (* -1 (* z (- (* -1 t) (* -1 x)))) (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y))) |
(+ x (+ (* -1 (* z (- (* -1 t) (* -1 x)))) (* -1 (/ (+ (* -1 (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))))) (/ (* z (- (+ (* -1/2 (pow x 3)) (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))))) (+ (* -1/2 (pow t 3)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))))) y)) y)))) |
(+ x (+ (* -1 (* z (- (* -1 t) (* -1 x)))) (* -1 (/ (+ (* -1 (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))))) (* -1 (/ (+ (* -1 (* z (- (+ (* -1/2 (pow x 3)) (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))))) (+ (* -1/2 (pow t 3)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))))) (/ (* z (- (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (+ (* 1/2 (* x (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) (* 1/2 (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (+ (* 1/12 (pow t 4)) (* t (+ (* -1/6 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))))))))) (+ (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2)))) (+ (* 1/2 (* t (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))) (* 1/2 (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (+ (* 1/12 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))))))))) y)) y))) y)))) |
(* -1 (* z (- (* -1 t) (* -1 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)) |
(+ (* -1 (* z (- (* -1 t) (* -1 x)))) (* -1 (/ (+ (* -1 (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))))) (/ (* z (- (+ (* -1/2 (pow x 3)) (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))))) (+ (* -1/2 (pow t 3)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))))) y)) y))) |
(+ (* -1 (* z (- (* -1 t) (* -1 x)))) (* -1 (/ (+ (* -1 (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))))) (* -1 (/ (+ (* -1 (* z (- (+ (* -1/2 (pow x 3)) (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))))) (+ (* -1/2 (pow t 3)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))))) (/ (* z (- (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (+ (* 1/2 (* x (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) (* 1/2 (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (+ (* 1/12 (pow t 4)) (* t (+ (* -1/6 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))))))))) (+ (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2)))) (+ (* 1/2 (* t (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))) (* 1/2 (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (+ (* 1/12 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))))))))) y)) y))) y))) |
(* -1 (/ (- (* -1 t) (* -1 x)) y)) |
(* -1 (/ (- (+ (* -1 t) (* -1 (/ (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) (* -1 x)) y)) |
(* -1 (/ (- (+ (* -1 t) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (pow x 3)) (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))))) (+ (* -1/2 (pow t 3)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))) y)) (* 1/2 (+ (* -1 (pow t 2)) (pow t 2)))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) (* -1 x)) y)) |
(* -1 (/ (- (+ (* -1 t) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (+ (* 1/2 (* x (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) (* 1/2 (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (+ (* 1/12 (pow t 4)) (* t (+ (* -1/6 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))))))))) (+ (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2)))) (+ (* 1/2 (* t (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))) (* 1/2 (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (+ (* 1/12 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))))))))) y)) (+ (* -1/2 (pow x 3)) (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))))) (+ (* -1/2 (pow t 3)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))) y)) (* 1/2 (+ (* -1 (pow t 2)) (pow t 2)))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) (* -1 x)) y)) |
(* -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)) |
(* z (+ (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (/ x z))) |
(* -1 (* z (+ (* -1 (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (* -1 (/ x z))))) |
(+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) |
(+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(+ (* 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))))))))) |
(+ (* 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))))))))) |
(- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y)) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(- (+ (* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(- (+ (* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(* 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))) |
| Outputs |
|---|
(* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))) |
(*.f64 (*.f64 z y) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) |
(+ (* x (+ 1 (* -1 z))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))) |
(fma.f64 (*.f64 z y) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) |
(+ (* x (+ 1 (+ (* -1 z) (* 1/3 (/ (* (pow x 2) z) (pow y 2)))))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))) |
(fma.f64 (*.f64 z y) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) y) (/.f64 z y) (-.f64 #s(literal 1 binary64) z)) x)) |
(+ (* x (+ 1 (+ (* -1 z) (* (pow x 2) (+ (* -2/15 (/ (* (pow x 2) z) (pow y 4))) (* 1/3 (/ z (pow y 2)))))))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))) |
(fma.f64 (*.f64 z y) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 z y) (*.f64 (*.f64 #s(literal -2/15 binary64) (*.f64 x x)) (/.f64 z (pow.f64 y #s(literal 4 binary64))))) (*.f64 x x) (-.f64 #s(literal 1 binary64) 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)))))))))) |
(fma.f64 (*.f64 z y) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (*.f64 (neg.f64 x) z)) |
(+ (* x (+ (* -1 z) (* 1/3 (/ (* (pow x 2) z) (pow y 2))))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))) |
(fma.f64 (*.f64 z y) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) y) (/.f64 z y) (neg.f64 z)) x)) |
(+ (* x (+ (* -1 z) (* (pow x 2) (+ (* -2/15 (/ (* (pow x 2) z) (pow y 4))) (* 1/3 (/ z (pow y 2))))))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))) |
(fma.f64 (*.f64 z y) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 z y) (*.f64 (*.f64 #s(literal -2/15 binary64) (*.f64 x x)) (/.f64 z (pow.f64 y #s(literal 4 binary64))))) (*.f64 (neg.f64 x) z))) |
(- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 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))))))) |
(-.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (/.f64 x y)) |
(- (+ (* x (- (* 1/3 (/ (pow x 2) (pow y 3))) (/ 1 y))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 3 binary64))) x) x (/.f64 #s(literal -1 binary64) y)) x (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) |
(- (+ (* x (- (* (pow x 2) (+ (* -2/15 (/ (pow x 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 5 binary64)))) #s(literal -2/15 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 x x) (/.f64 #s(literal -1 binary64) y)) x (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) |
x |
(* x (+ 1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x))) |
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(+ (* -1 (* z (- (* -1 t) (* -1 x)))) (* -1 (/ (+ (* -1 (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))))) (/ (* z (- (+ (* -1/2 (pow x 3)) (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))))) (+ (* -1/2 (pow t 3)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))))) y)) y))) |
(fma.f64 (-.f64 t x) z (/.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64) (fma.f64 (pow.f64 t #s(literal 3 binary64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 z y) #s(literal 0 binary64)) (neg.f64 y))) |
(+ (* -1 (* z (- (* -1 t) (* -1 x)))) (* -1 (/ (+ (* -1 (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))))) (* -1 (/ (+ (* -1 (* z (- (+ (* -1/2 (pow x 3)) (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))))) (+ (* -1/2 (pow t 3)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))))) (/ (* z (- (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (+ (* 1/2 (* x (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) (* 1/2 (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (+ (* 1/12 (pow t 4)) (* t (+ (* -1/6 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))))))))) (+ (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2)))) (+ (* 1/2 (* t (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))) (* 1/2 (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (+ (* 1/12 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))))))))) y)) y))) y))) |
(fma.f64 (-.f64 t x) z (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal -1/6 binary64) (fma.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal -1/12 binary64) (pow.f64 t #s(literal 4 binary64))))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/6 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 4 binary64))))))) (/.f64 z y) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64) (fma.f64 (pow.f64 t #s(literal 3 binary64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 z))) (neg.f64 y)) (neg.f64 y))) |
(* -1 (/ (- (* -1 t) (* -1 x)) y)) |
(/.f64 (-.f64 t 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)) |
(/.f64 (-.f64 t 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)) |
(/.f64 (-.f64 (/.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64) (fma.f64 (pow.f64 t #s(literal 3 binary64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))) y) y) (-.f64 t x)) (neg.f64 y)) |
(* -1 (/ (- (+ (* -1 t) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (+ (* 1/2 (* x (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) (* 1/2 (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (+ (* 1/12 (pow t 4)) (* t (+ (* -1/6 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))))))))) (+ (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2)))) (+ (* 1/2 (* t (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))) (* 1/2 (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (+ (* 1/12 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))))))))) y)) (+ (* -1/2 (pow x 3)) (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))))) (+ (* -1/2 (pow t 3)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))) y)) (* 1/2 (+ (* -1 (pow t 2)) (pow t 2)))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) (* -1 x)) y)) |
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64) (fma.f64 (pow.f64 t #s(literal 3 binary64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (fma.f64 (fma.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal -1/6 binary64) (fma.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal -1/12 binary64) (pow.f64 t #s(literal 4 binary64))))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/6 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 4 binary64))))))) y)) y) y) (-.f64 t x)) (neg.f64 y)) |
(* -1 (/ (+ (* -1 t) (* -1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y))) y)) |
(/.f64 (-.f64 t #s(literal 0 binary64)) y) |
(* -1 (/ (+ (* -1 t) (* -1 (/ (+ (* -1 (/ (- (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))) (* -1/2 (pow t 3))) y)) (* 1/2 (+ (* -1 (pow t 2)) (pow t 2)))) y))) y)) |
(/.f64 (+.f64 (/.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) y) #s(literal -1/3 binary64)) y) t) 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 (neg.f64 (-.f64 (/.f64 (/.f64 (fma.f64 (pow.f64 t #s(literal 3 binary64)) #s(literal 1/3 binary64) (/.f64 (*.f64 (fma.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal -1/6 binary64) (fma.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal -1/12 binary64) (pow.f64 t #s(literal 4 binary64))))) #s(literal 1/2 binary64)) (neg.f64 y))) y) y) t)) y) |
(* z (+ (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (/ x z))) |
(*.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) y (/.f64 x z)) z) |
(* -1 (* z (+ (* -1 (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (* -1 (/ x z))))) |
(*.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) y (/.f64 x z)) z) |
(+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (*.f64 z y) x) |
(+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (*.f64 z y) (fma.f64 t z x)) |
(+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (*.f64 z y) (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 t z) t) y) (/.f64 #s(literal -1/3 binary64) y) z) t x)) |
(+ x (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (*.f64 z y) (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) y) (/.f64 z y) (*.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 t t)) (/.f64 z (pow.f64 y #s(literal 4 binary64))))) (*.f64 t t) z) t x)) |
(* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (*.f64 z y)) |
(+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (*.f64 z y) (*.f64 t z)) |
(+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (*.f64 z y) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 t z) t) y) (/.f64 #s(literal -1/3 binary64) y) z) t)) |
(+ (* 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 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (*.f64 z y) (fma.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) y) (/.f64 z y) (*.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 t t)) (/.f64 z (pow.f64 y #s(literal 4 binary64))))) (pow.f64 t #s(literal 3 binary64)) (*.f64 t z))) |
(- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y)) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 t y)) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) |
(- (+ (* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(-.f64 (fma.f64 (fma.f64 (*.f64 t (/.f64 t (pow.f64 y #s(literal 3 binary64)))) #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) y)) t (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) |
(- (+ (* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(-.f64 (+.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 2/15 binary64) (pow.f64 y #s(literal 5 binary64))) t) t (/.f64 #s(literal -1/3 binary64) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 t #s(literal 3 binary64)) (/.f64 t y)) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) |
(* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y))) |
(+.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 t #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))) (/.f64 t y)) |
(* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 2/15 binary64) (pow.f64 y #s(literal 5 binary64))) t) t (/.f64 #s(literal -1/3 binary64) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 t #s(literal 3 binary64)) (/.f64 t 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))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 t (/.f64 t (pow.f64 y #s(literal 7 binary64)))) #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (pow.f64 y #s(literal 5 binary64)))) (*.f64 t t) (/.f64 #s(literal -1/3 binary64) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 t #s(literal 3 binary64)) (/.f64 t y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 44 |
| 0 | 20 | 44 |
| 1 | 99 | 44 |
| 2 | 871 | 44 |
| 0 | 8379 | 43 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
(*.f64 y z) |
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
(tanh.f64 (/.f64 t y)) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) (neg.f64 x)))) |
(*.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)))))) |
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(+.f64 (neg.f64 (tanh.f64 (/.f64 x y))) (tanh.f64 (/.f64 t y))) |
(+.f64 (tanh.f64 (/.f64 t y)) (neg.f64 (tanh.f64 (/.f64 x y)))) |
(tanh.f64 (/.f64 t y)) |
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y)) #s(literal 1 binary64))))) |
(*.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 t y)) #s(literal 1 binary64))))) |
(*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y))) (pow.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (/.f64 t y))) (pow.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 t y)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (/.f64 t y)) (cosh.f64 (/.f64 t y)))) |
(*.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 t y))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y))) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 t y))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y)) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y)) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y)) #s(literal 1 binary64))) (/.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y)) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y)) #s(literal 1 binary64))))) (+.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y)) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y)) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 t y)) (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 t y)) #s(literal 1 binary64))) (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 t y)) (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 t y)) #s(literal 1 binary64)))) (*.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 t y)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 t y)) #s(literal 1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 t y)) (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 t y)) #s(literal 1 binary64))) (pow.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 t y)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 (/.f64 t y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))) (/.f64 (exp.f64 (/.f64 t y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))))) (*.f64 (/.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))) (/.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))))) (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))) (/.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y)) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y)) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y)) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y)) #s(literal 1 binary64))) (/.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y)) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y)) #s(literal 1 binary64))) (*.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y)) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y)) #s(literal 1 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 t y)) (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 t y)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 t y)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 t y)) (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 t y)) #s(literal 1 binary64))) (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 t y)) (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 t y)) #s(literal 1 binary64))) (fma.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 t y)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 t y)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 t y)) (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 t y)) #s(literal 1 binary64))) (pow.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 t y)) #s(literal 1 binary64)) #s(literal -1 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (/.f64 t y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (/.f64 t y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))) (/.f64 (exp.f64 (/.f64 t y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))) (fma.f64 (/.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))) (/.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))) (*.f64 (/.f64 (exp.f64 (/.f64 t y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))) (/.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y))))) (neg.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (/.f64 t y))))) (neg.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 t y)) #s(literal 1 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 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y)) #s(literal 1 binary64))) (*.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y)) #s(literal 1 binary64)) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y)))) (pow.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 t y)) (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 t y)) #s(literal 1 binary64))) (*.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 t y)) #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 t y)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (/.f64 t y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) (exp.f64 (/.f64 (neg.f64 t) y)))) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y)))) (neg.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (/.f64 t y)))) (neg.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 t y)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y)))) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 t y))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y))) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y)) #s(literal 1 binary64))) |
(/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (/.f64 t y))) (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 t y)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 t y))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 t y)))) |
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))) |
(fma.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 t y)) (pow.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 t y)) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 t y)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y)) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y)) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y)) #s(literal 1 binary64))))) |
(fma.f64 (exp.f64 (/.f64 t y)) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) #s(literal -1 binary64)) (neg.f64 (/.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))))) |
(-.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y)) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y)) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 t y)) (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 t y)) #s(literal 1 binary64))) (pow.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 t y)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 (/.f64 (exp.f64 (/.f64 t y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))) (/.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))))) |
(+.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y)) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y)) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y)) #s(literal 1 binary64))))) |
(+.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 t y)) (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 t y)) #s(literal 1 binary64))) (neg.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 t y)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(+.f64 (/.f64 (exp.f64 (/.f64 t y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))) (neg.f64 (/.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))))) |
Compiled 14 725 to 1 606 computations (89.1% saved)
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 309 | 5 | 314 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 310 | 5 | 315 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 96.1% | (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) |
| ▶ | 62.9% | (+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| ▶ | 45.6% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) |
| ▶ | 60.8% | (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (-.f64 t x) z))) |
| ▶ | 60.8% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) |
Compiled 194 to 140 computations (27.8% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) | |
| cost-diff | 0 | (*.f64 y z) | |
| cost-diff | 0 | (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) | |
| cost-diff | 128 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))) | |
| cost-diff | 0 | #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) | |
| cost-diff | 0 | (*.f64 y z) | |
| cost-diff | 0 | (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) | |
| cost-diff | 128 | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) | |
| cost-diff | 0 | (-.f64 t x) | |
| cost-diff | 0 | (*.f64 (-.f64 t x) z) | |
| cost-diff | 0 | #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (-.f64 t x) z)) | |
| cost-diff | 0 | (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (-.f64 t x) z))) | |
| cost-diff | 0 | (-.f64 t x) | |
| cost-diff | 0 | (fma.f64 (-.f64 t x) z x) | |
| cost-diff | 0 | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) | |
| cost-diff | 0 | (tanh.f64 (/.f64 t y)) | |
| cost-diff | 0 | (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) | |
| cost-diff | 0 | (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) | |
| cost-diff | 0 | (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 281 |
| 0 | 54 | 280 |
| 1 | 114 | 280 |
| 2 | 248 | 280 |
| 3 | 588 | 280 |
| 4 | 1911 | 280 |
| 5 | 7305 | 280 |
| 0 | 8556 | 278 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) |
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) |
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
(tanh.f64 (/.f64 t y)) |
(/.f64 t y) |
t |
y |
(tanh.f64 (/.f64 x y)) |
(/.f64 x y) |
x |
z |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) |
(fma.f64 (-.f64 t x) z x) |
(-.f64 t x) |
t |
x |
z |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (-.f64 t x) z))) |
x |
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (-.f64 t x) z)) |
(*.f64 (-.f64 t x) z) |
(-.f64 t x) |
t |
z |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) |
x |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) |
(*.f64 y z) |
y |
z |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) |
(/.f64 (-.f64 t x) y) |
(-.f64 t x) |
t |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
x |
(*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
(*.f64 y z) |
y |
z |
(-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
#s(approx (tanh (/ t y)) (/.f64 t y)) |
(/.f64 t y) |
t |
(tanh.f64 (/.f64 x y)) |
(/.f64 x y) |
| Outputs |
|---|
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) |
(fma.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x) |
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) |
(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
(tanh.f64 (/.f64 t y)) |
(/.f64 t y) |
t |
y |
(tanh.f64 (/.f64 x y)) |
(/.f64 x y) |
x |
z |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) |
(fma.f64 (-.f64 t x) z x) |
(-.f64 t x) |
t |
x |
z |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (-.f64 t x) z))) |
(+.f64 #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (-.f64 t x) z)) x) |
x |
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (-.f64 t x) z)) |
(*.f64 (-.f64 t x) z) |
(-.f64 t x) |
t |
z |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) |
(fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 z y) x) |
x |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) |
(*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 z y)) |
(*.f64 y z) |
(*.f64 z y) |
y |
z |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) |
(/.f64 (-.f64 t x) y) |
(-.f64 t x) |
t |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) x) |
x |
(*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
(*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)) |
(*.f64 y z) |
(*.f64 z y) |
y |
z |
(-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
#s(approx (tanh (/ t y)) (/.f64 t y)) |
(/.f64 t y) |
t |
(tanh.f64 (/.f64 x y)) |
(/.f64 x y) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))) | |
| accuracy | 0.3519264849899325 | (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) | |
| accuracy | 5.1269027621443914 | (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) | |
| accuracy | 30.853732317555316 | #s(approx (tanh (/ t y)) (/.f64 t y)) | |
| accuracy | 0.00390625 | (/.f64 (-.f64 t x) y) | |
| accuracy | 0.00390625 | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) | |
| accuracy | 5.1269027621443914 | (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) | |
| accuracy | 40.583185543354844 | #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) | |
| accuracy | 0.0 | (-.f64 t x) | |
| accuracy | 0.00390625 | (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (-.f64 t x) z))) | |
| accuracy | 0.00390625 | (*.f64 (-.f64 t x) z) | |
| accuracy | 38.11182540996871 | #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (-.f64 t x) z)) | |
| accuracy | 0.0 | (fma.f64 (-.f64 t x) z x) | |
| accuracy | 0.0 | (-.f64 t x) | |
| accuracy | 25.105203833779292 | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) | |
| accuracy | 0.015625 | (tanh.f64 (/.f64 t y)) | |
| accuracy | 0.3519264849899325 | (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) | |
| accuracy | 1.0390471085940927 | (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) | |
| accuracy | 1.5029284960488911 | (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) |
| 36.0ms | 209× | 0 | valid |
| 19.0ms | 43× | 2 | valid |
| 2.0ms | 3× | 3 | valid |
| 0.0ms | 1× | 1 | valid |
Compiled 513 to 55 computations (89.3% saved)
ival-div: 10.0ms (28.6% of total)ival-mult: 9.0ms (25.8% of total)ival-tanh: 6.0ms (17.2% of total)ival-add: 4.0ms (11.5% of total)ival-sub: 3.0ms (8.6% of total)adjust: 3.0ms (8.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) |
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) |
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
(tanh.f64 (/.f64 t y)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) |
(fma.f64 (-.f64 t x) z x) |
(-.f64 t x) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (-.f64 t x) z))) |
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (-.f64 t x) z)) |
(*.f64 (-.f64 t x) z) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) |
(*.f64 y z) |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
(-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
(/.f64 (-.f64 t x) y) |
#s(approx (tanh (/ t y)) (/.f64 t 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))))))))) |
(+ (* 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)))))))))) |
(* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))) |
(+ (* -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 (/ z y)) (* 1/3 (/ (* (pow x 2) z) (pow y 3))))) (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))) |
(+ (* x (+ (* -1 (/ z y)) (* (pow x 2) (+ (* -2/15 (/ (* (pow x 2) z) (pow y 5))) (* 1/3 (/ z (pow y 3))))))) (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))) |
(- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))) |
(- (+ (* -1 (/ x y)) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))) |
(- (+ (* x (- (* 1/3 (/ (pow x 2) (pow y 3))) (/ 1 y))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))) |
(- (+ (* x (- (* (pow x 2) (+ (* -2/15 (/ (pow x 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))) |
(* t z) |
(+ (* t z) (* x (+ 1 (* -1 z)))) |
t |
(+ t (* -1 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 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 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)))))))))) |
(+ (* -1 (* x z)) (* t z)) |
(/ t y) |
(+ (* -1 (/ x y)) (/ 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))) |
(* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(* x (+ 1 (* -1 z))) |
(* x (+ 1 (+ (* -1 z) (/ (* t z) x)))) |
(* -1 x) |
(* x (- (/ t 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))))))))) |
(* -1 (* x z)) |
(* x (+ (* -1 z) (/ (* t z) x))) |
(* -1 (/ x y)) |
(* x (- (/ t (* x y)) (/ 1 y))) |
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
(* -1 (* x (- z 1))) |
(* -1 (* x (- (+ z (* -1 (/ (* t z) x))) 1))) |
(* -1 (* x (+ 1 (* -1 (/ t x))))) |
(* -1 (* x (+ z (* -1 (/ (* t z) x))))) |
(* -1 (* x (+ (* -1 (/ t (* x y))) (/ 1 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)))))))))) |
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(* y z) |
(/ (- t 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)))))) |
(/ (* z (- t x)) y) |
(/ (+ (* z (- t x)) (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y)) y) |
(/ (+ (* 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)))) y) |
(/ (+ (* 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))))) y) |
(/ (- (+ t (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y))) (+ x (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)))) y) |
(/ (- (+ t (+ (* 1/2 (/ (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3)))) (pow y 2))) (+ (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y)) (* 1/2 (/ (pow x 3) (pow y 2)))))) (+ x (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3)))) (pow y 2))) (+ (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)) (* 1/2 (/ (pow t 3) (pow y 2))))))) y) |
(/ (- (+ t (+ (* -1/2 (/ (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (pow y 3))) (+ (* 1/4 (/ (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/6 (pow t 3)))))) (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (* 1/12 (pow t 4))))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3)))) (pow y 2))) (+ (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y)) (* 1/2 (/ (pow x 3) (pow y 2))))))))) (+ x (+ (* -1/2 (/ (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (* -1/2 (pow t 3)))) (pow y 3))) (+ (* 1/4 (/ (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3)))) (pow y 2))) (+ (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)) (* 1/2 (/ (pow t 3) (pow y 2)))))))))) y) |
(/ (+ 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) |
(* z (- t 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 (- 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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(+ x (* -1 (* x z))) |
(+ x (+ (* -1 (* x z)) (* t z))) |
(- t x) |
(* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) |
(+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
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(* t (+ z (+ (* -1 (/ (* x z) t)) (/ x t)))) |
(* t (+ 1 (* -1 (/ x t)))) |
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(* t (+ (* -1 (/ x (* t y))) (/ 1 y))) |
(* -1 (* t (+ (* -1 z) (* -1 (/ (+ x (* -1 (* x z))) t))))) |
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12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 136.0ms | x | @ | inf | ((+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) z) y) x) (* (- (tanh (/ t y)) (tanh (/ x y))) z) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (- t x) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* (- t x) z) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (- (tanh (/ t y)) (tanh (/ x y))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (- (tanh (/ t y)) (tanh (/ x y))) (/ (- t x) y) (tanh (/ t y))) |
| 54.0ms | z | @ | -inf | ((+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) z) y) x) (* (- (tanh (/ t y)) (tanh (/ x y))) z) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (- t x) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* (- t x) z) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (- (tanh (/ t y)) (tanh (/ x y))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (- (tanh (/ t y)) (tanh (/ x y))) (/ (- t x) y) (tanh (/ t y))) |
| 4.0ms | z | @ | inf | ((+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) z) y) x) (* (- (tanh (/ t y)) (tanh (/ x y))) z) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (- t x) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* (- t x) z) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (- (tanh (/ t y)) (tanh (/ x y))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (- (tanh (/ t y)) (tanh (/ x y))) (/ (- t x) y) (tanh (/ t y))) |
| 4.0ms | y | @ | -inf | ((+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) z) y) x) (* (- (tanh (/ t y)) (tanh (/ x y))) z) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (- t x) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* (- t x) z) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (- (tanh (/ t y)) (tanh (/ x y))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (- (tanh (/ t y)) (tanh (/ x y))) (/ (- t x) y) (tanh (/ t y))) |
| 4.0ms | t | @ | -inf | ((+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) z) y) x) (* (- (tanh (/ t y)) (tanh (/ x y))) z) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (- t x) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* (- t x) z) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (- (tanh (/ t y)) (tanh (/ x y))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (- (tanh (/ t y)) (tanh (/ x y))) (/ (- t x) y) (tanh (/ t y))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 573 | 5368 |
| 1 | 1922 | 3703 |
| 2 | 7666 | 3701 |
| 0 | 8081 | 3525 |
| 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)))))))))) |
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(* -1 (/ (+ (* -1 t) (* -1 (/ (+ (* -1 (/ (- (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))) (* -1/2 (pow t 3))) y)) (* 1/2 (+ (* -1 (pow t 2)) (pow t 2)))) y))) y)) |
(* -1 (/ (+ (* -1 t) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (+ (* 1/12 (pow t 4)) (* t (+ (* -1/6 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))))))) (+ (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2)))) (* 1/2 (* t (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))))) y)) (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))))) (* -1/2 (pow t 3))) y)) (* 1/2 (+ (* -1 (pow t 2)) (pow t 2)))) y))) y)) |
(* -1 (* z (- (* -1 t) (* -1 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)) |
(+ (* -1 (* z (- (* -1 t) (* -1 x)))) (* -1 (/ (+ (* -1 (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))))) (/ (* z (- (+ (* -1/2 (pow x 3)) (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))))) (+ (* -1/2 (pow t 3)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))))) y)) y))) |
(+ (* -1 (* z (- (* -1 t) (* -1 x)))) (* -1 (/ (+ (* -1 (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))))) (* -1 (/ (+ (* -1 (* z (- (+ (* -1/2 (pow x 3)) (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))))) (+ (* -1/2 (pow t 3)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))))) (/ (* z (- (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (+ (* 1/2 (* x (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) (* 1/2 (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (+ (* 1/12 (pow t 4)) (* t (+ (* -1/6 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))))))))) (+ (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2)))) (+ (* 1/2 (* t (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))) (* 1/2 (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (+ (* 1/12 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))))))))) y)) y))) y))) |
(* z (+ (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (/ x z))) |
(* z (- (+ t (/ x z)) x)) |
(* -1 (* z (+ (* -1 (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 (- t x)) (* -1 (/ x z))))) |
(+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(+ (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (/ (* t z) y)) |
(+ (* t (+ (* -1/3 (/ (* (pow t 2) z) (pow y 3))) (/ z y))) (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) |
(+ (* t (+ (* (pow t 2) (+ (* -1/3 (/ z (pow y 3))) (* 2/15 (/ (* (pow t 2) z) (pow y 5))))) (/ z y))) (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) |
(- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y)) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(- (+ (* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(- (+ (* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(* 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))) |
(+ x (* -1 (* x z))) |
(+ x (+ (* -1 (* x z)) (* t z))) |
(- t x) |
(* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) |
(+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(+ (* 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))))))))) |
(+ (* 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))))))))) |
(* t (+ z (+ (* -1 (/ (* x z) t)) (/ x t)))) |
(* t (+ 1 (* -1 (/ x t)))) |
(* t (+ z (* -1 (/ (* x z) t)))) |
(* t (+ (* -1 (/ x (* t y))) (/ 1 y))) |
(* -1 (* t (+ (* -1 z) (* -1 (/ (+ x (* -1 (* x z))) t))))) |
(* -1 (* t (- (/ x t) 1))) |
(* -1 (* t (+ (* -1 z) (/ (* x z) t)))) |
(* -1 (* t (- (/ x (* t y)) (/ 1 y)))) |
| Outputs |
|---|
(* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))) |
(*.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (*.f64 z y)) |
(+ (* x (+ 1 (* -1 z))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))) |
(fma.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (*.f64 z y) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) |
(+ (* x (+ 1 (+ (* -1 z) (* 1/3 (/ (* (pow x 2) z) (pow y 2)))))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))) |
(fma.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (*.f64 z y) (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 z (*.f64 y y)) #s(literal 1/3 binary64)) x) x (-.f64 #s(literal 1 binary64) z)) x)) |
(+ (* x (+ 1 (+ (* -1 z) (* (pow x 2) (+ (* -2/15 (/ (* (pow x 2) z) (pow y 4))) (* 1/3 (/ z (pow y 2)))))))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))) |
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(* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))) |
(*.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) z) |
(+ (* -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))))))))) |
(fma.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) z (*.f64 (/.f64 (neg.f64 z) y) x)) |
(+ (* x (+ (* -1 (/ z y)) (* 1/3 (/ (* (pow x 2) z) (pow y 3))))) (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))) |
(fma.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) z (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))) #s(literal 1/3 binary64)) x) x (/.f64 (neg.f64 z) y)) x)) |
(+ (* x (+ (* -1 (/ z y)) (* (pow x 2) (+ (* -2/15 (/ (* (pow x 2) z) (pow y 5))) (* 1/3 (/ z (pow y 3))))))) (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))) |
(fma.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) z (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal -2/15 binary64) (*.f64 x x)) (/.f64 z (pow.f64 y #s(literal 5 binary64))) (*.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))) #s(literal 1/3 binary64))) (*.f64 (/.f64 (neg.f64 z) y) x))) |
(- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 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))))))) |
(fma.f64 #s(literal -1 binary64) (/.f64 x y) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) |
(- (+ (* x (- (* 1/3 (/ (pow x 2) (pow y 3))) (/ 1 y))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 3 binary64))) x) x (/.f64 #s(literal -1 binary64) y)) x (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) |
(- (+ (* x (- (* (pow x 2) (+ (* -2/15 (/ (pow x 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 5 binary64)))) #s(literal -2/15 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 x x) (/.f64 #s(literal -1 binary64) y)) x (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) |
(* t z) |
(*.f64 z t) |
(+ (* t z) (* x (+ 1 (* -1 z)))) |
(fma.f64 (-.f64 t x) z x) |
t |
(+ t (* -1 x)) |
(-.f64 t 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)))))))))) |
(fma.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (*.f64 z y) (*.f64 (neg.f64 x) z)) |
(+ (* x (+ (* -1 z) (* 1/3 (/ (* (pow x 2) z) (pow y 2))))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))) |
(fma.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (*.f64 z y) (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 z (*.f64 y y)) #s(literal 1/3 binary64)) x) x (neg.f64 z)) x)) |
(+ (* x (+ (* -1 z) (* (pow x 2) (+ (* -2/15 (/ (* (pow x 2) z) (pow y 4))) (* 1/3 (/ z (pow y 2))))))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))) |
(fma.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (*.f64 z y) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 z y) (*.f64 (*.f64 #s(literal -2/15 binary64) (*.f64 x x)) (/.f64 z (pow.f64 y #s(literal 4 binary64))))) (*.f64 (neg.f64 x) z))) |
(+ (* -1 (* x z)) (* t z)) |
(*.f64 (-.f64 t x) z) |
(/ t y) |
(/.f64 t y) |
(+ (* -1 (/ x y)) (/ t y)) |
(/.f64 (-.f64 t 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))) |
(fma.f64 (*.f64 x y) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (/.f64 z x)) x) |
(* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) z) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) |
(* x (+ 1 (* -1 z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* x (+ 1 (+ (* -1 z) (/ (* t z) x)))) |
(fma.f64 (-.f64 (/.f64 (*.f64 z t) x) z) x x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ t x) 1)) |
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(+ (* -1 (* z (- (* -1 t) (* -1 x)))) (* -1 (/ (+ (* -1 (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))))) (* -1 (/ (+ (* -1 (* z (- (+ (* -1/2 (pow x 3)) (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))))) (+ (* -1/2 (pow t 3)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))))) (/ (* z (- (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (+ (* 1/2 (* x (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) (* 1/2 (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (+ (* 1/12 (pow t 4)) (* t (+ (* -1/6 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))))))))) (+ (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2)))) (+ (* 1/2 (* t (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))) (* 1/2 (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (+ (* 1/12 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))))))))) y)) y))) y))) |
(neg.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) t x) z (/.f64 (fma.f64 #s(literal 0 binary64) z (/.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/12 binary64) (pow.f64 t #s(literal 4 binary64)) (fma.f64 (*.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal -1/2 binary64)) #s(literal -1/2 binary64) (*.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal -1/6 binary64)))))) #s(literal 1/2 binary64) #s(literal 0 binary64)) (*.f64 (fma.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2 binary64)) #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/6 binary64)))))) #s(literal 1/2 binary64))) (/.f64 z y) (*.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64) (*.f64 (pow.f64 t #s(literal 3 binary64)) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 z))) (neg.f64 y))) y))) |
(* z (+ (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (/ x z))) |
(*.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) y (/.f64 x z)) z) |
(* z (- (+ t (/ x z)) x)) |
(*.f64 (-.f64 (+.f64 (/.f64 x z) t) x) z) |
(* -1 (* z (+ (* -1 (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (* -1 (/ x z))))) |
(*.f64 (neg.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) y (/.f64 x z))) (neg.f64 z)) |
(* -1 (* z (+ (* -1 (- t x)) (* -1 (/ x z))))) |
(*.f64 (neg.f64 (-.f64 (+.f64 (/.f64 x z) t) x)) (neg.f64 z)) |
(+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (*.f64 z y) x) |
(+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (*.f64 z 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 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (*.f64 z y) (fma.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) y) (/.f64 (*.f64 (*.f64 t t) z) y) z) t x)) |
(+ x (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (*.f64 z y) (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) y) (/.f64 z y) (*.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 t t)) (/.f64 z (pow.f64 y #s(literal 4 binary64))))) (*.f64 t t) z) t x)) |
(* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) z) |
(+ (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (/ (* t z) y)) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) z (*.f64 (/.f64 z y) t)) |
(+ (* t (+ (* -1/3 (/ (* (pow t 2) z) (pow y 3))) (/ z y))) (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) z (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 z (pow.f64 y #s(literal 3 binary64)))) t) t (/.f64 z y)) t)) |
(+ (* t (+ (* (pow t 2) (+ (* -1/3 (/ z (pow y 3))) (* 2/15 (/ (* (pow t 2) z) (pow y 5))))) (/ z y))) (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) z (fma.f64 (fma.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 t t)) (/.f64 z (pow.f64 y #s(literal 5 binary64))) (*.f64 #s(literal -1/3 binary64) (/.f64 z (pow.f64 y #s(literal 3 binary64))))) (pow.f64 t #s(literal 3 binary64)) (*.f64 (/.f64 z y) t))) |
(- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y)) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 t y)) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) |
(- (+ (* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(-.f64 (fma.f64 (fma.f64 (*.f64 t (/.f64 t (pow.f64 y #s(literal 3 binary64)))) #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) y)) t (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) |
(- (+ (* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(-.f64 (+.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 2/15 binary64) (pow.f64 y #s(literal 5 binary64))) t) t (/.f64 #s(literal -1/3 binary64) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 t #s(literal 3 binary64)) (/.f64 t y)) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) |
(* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y))) |
(+.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 t #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))) (/.f64 t y)) |
(* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 2/15 binary64) (pow.f64 y #s(literal 5 binary64))) t) t (/.f64 #s(literal -1/3 binary64) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 t #s(literal 3 binary64)) (/.f64 t 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))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 t (/.f64 t (pow.f64 y #s(literal 7 binary64)))) #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (pow.f64 y #s(literal 5 binary64)))) (*.f64 t t) (/.f64 #s(literal -1/3 binary64) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 t #s(literal 3 binary64)) (/.f64 t y)) |
(+ x (* -1 (* x z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(+ x (+ (* -1 (* x z)) (* t z))) |
(fma.f64 (-.f64 t x) z x) |
(- t x) |
(-.f64 t x) |
(* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (*.f64 z y)) |
(+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (*.f64 z y) (*.f64 z t)) |
(+ (* 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 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (*.f64 z y) (*.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) y) (/.f64 (*.f64 (*.f64 t t) z) y) z) t)) |
(+ (* 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 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (*.f64 z y) (fma.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) y) (/.f64 z y) (*.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 t t)) (/.f64 z (pow.f64 y #s(literal 4 binary64))))) (pow.f64 t #s(literal 3 binary64)) (*.f64 z t))) |
(* t (+ z (+ (* -1 (/ (* x z) t)) (/ x t)))) |
(*.f64 (+.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) t) z) t) |
(* t (+ 1 (* -1 (/ x t)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x t)) t) |
(* t (+ z (* -1 (/ (* x z) t)))) |
(*.f64 (-.f64 z (/.f64 (*.f64 z x) t)) t) |
(* t (+ (* -1 (/ x (* t y))) (/ 1 y))) |
(fma.f64 (/.f64 (/.f64 (neg.f64 x) t) y) t (/.f64 t y)) |
(* -1 (* t (+ (* -1 z) (* -1 (/ (+ x (* -1 (* x z))) t))))) |
(*.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) t) z)) (neg.f64 t)) |
(* -1 (* t (- (/ x t) 1))) |
(*.f64 (-.f64 (/.f64 x t) #s(literal 1 binary64)) (neg.f64 t)) |
(* -1 (* t (+ (* -1 z) (/ (* x z) t)))) |
(*.f64 (fma.f64 z (/.f64 x t) (neg.f64 z)) (neg.f64 t)) |
(* -1 (* t (- (/ x (* t y)) (/ 1 y)))) |
(*.f64 (-.f64 (/.f64 (/.f64 x t) y) (/.f64 #s(literal 1 binary64) y)) (neg.f64 t)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 234 |
| 0 | 54 | 233 |
| 1 | 230 | 233 |
| 2 | 1897 | 233 |
| 0 | 8147 | 231 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) |
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) |
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
(tanh.f64 (/.f64 t y)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) |
(fma.f64 (-.f64 t x) z x) |
(-.f64 t x) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (-.f64 t x) z))) |
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (-.f64 t x) z)) |
(*.f64 (-.f64 t x) z) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) |
(*.f64 y z) |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
(-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
(/.f64 (-.f64 t x) y) |
#s(approx (tanh (/ t y)) (/.f64 t y)) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64))) (pow.f64 (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal -1 binary64))) |
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(/.f64 (-.f64 (*.f64 (*.f64 t #s(literal 1 binary64)) (neg.f64 (/.f64 y x))) (*.f64 y #s(literal -1 binary64))) (*.f64 y (neg.f64 (/.f64 y x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 t #s(literal 1 binary64)) (neg.f64 y)) (*.f64 y (neg.f64 x))) (*.f64 y (neg.f64 y))) |
(/.f64 (-.f64 (*.f64 (*.f64 t #s(literal 1 binary64)) (/.f64 (/.f64 y x) #s(literal 1 binary64))) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 (/.f64 y x) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 t #s(literal 1 binary64)) (/.f64 y x)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x))) |
(/.f64 (-.f64 (*.f64 (*.f64 t #s(literal 1 binary64)) y) (*.f64 y x)) (*.f64 y y)) |
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 t)) y) (*.f64 (neg.f64 (neg.f64 y)) (*.f64 x #s(literal 1 binary64)))) (*.f64 (neg.f64 (neg.f64 y)) y)) |
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 t)) (neg.f64 (neg.f64 y))) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 x)))) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 t)) (neg.f64 (/.f64 y x))) (*.f64 (neg.f64 (neg.f64 y)) #s(literal -1 binary64))) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (/.f64 y x)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 t)) (neg.f64 y)) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 x))) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 t)) (/.f64 (/.f64 y x) #s(literal 1 binary64))) (*.f64 (neg.f64 (neg.f64 y)) #s(literal 1 binary64))) (*.f64 (neg.f64 (neg.f64 y)) (/.f64 (/.f64 y x) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 t)) (/.f64 y x)) (*.f64 (neg.f64 (neg.f64 y)) #s(literal 1 binary64))) (*.f64 (neg.f64 (neg.f64 y)) (/.f64 y x))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 t)) y) (*.f64 (neg.f64 (neg.f64 y)) x)) (*.f64 (neg.f64 (neg.f64 y)) y)) |
(/.f64 (-.f64 (neg.f64 y) (*.f64 (neg.f64 (/.f64 y t)) (*.f64 x #s(literal 1 binary64)))) (*.f64 (neg.f64 (/.f64 y t)) y)) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 y))) (*.f64 (neg.f64 (/.f64 y t)) (neg.f64 (neg.f64 x)))) (*.f64 (neg.f64 (/.f64 y t)) (neg.f64 (neg.f64 y)))) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y x))) (*.f64 (neg.f64 (/.f64 y t)) #s(literal -1 binary64))) (*.f64 (neg.f64 (/.f64 y t)) (neg.f64 (/.f64 y x)))) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (neg.f64 y)) (*.f64 (neg.f64 (/.f64 y t)) (neg.f64 x))) (*.f64 (neg.f64 (/.f64 y t)) (neg.f64 y))) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 y x) #s(literal 1 binary64))) (*.f64 (neg.f64 (/.f64 y t)) #s(literal 1 binary64))) (*.f64 (neg.f64 (/.f64 y t)) (/.f64 (/.f64 y x) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (*.f64 (neg.f64 (/.f64 y t)) #s(literal 1 binary64))) (*.f64 (neg.f64 (/.f64 y t)) (/.f64 y x))) |
(/.f64 (-.f64 (neg.f64 y) (*.f64 (neg.f64 (/.f64 y t)) x)) (*.f64 (neg.f64 (/.f64 y t)) y)) |
(/.f64 (-.f64 (*.f64 (neg.f64 t) y) (*.f64 (neg.f64 y) (*.f64 x #s(literal 1 binary64)))) (*.f64 (neg.f64 y) y)) |
(/.f64 (-.f64 (*.f64 (neg.f64 t) (neg.f64 (neg.f64 y))) (*.f64 (neg.f64 y) (neg.f64 (neg.f64 x)))) (*.f64 (neg.f64 y) (neg.f64 (neg.f64 y)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 t) (neg.f64 (/.f64 y x))) (*.f64 (neg.f64 y) #s(literal -1 binary64))) (*.f64 (neg.f64 y) (neg.f64 (/.f64 y x)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 t) (/.f64 (/.f64 y x) #s(literal 1 binary64))) (*.f64 (neg.f64 y) #s(literal 1 binary64))) (*.f64 (neg.f64 y) (/.f64 (/.f64 y x) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 (/.f64 y t) #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)))) (*.f64 (/.f64 (/.f64 y t) #s(literal 1 binary64)) y)) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 y))) (*.f64 (/.f64 (/.f64 y t) #s(literal 1 binary64)) (neg.f64 (neg.f64 x)))) (*.f64 (/.f64 (/.f64 y t) #s(literal 1 binary64)) (neg.f64 (neg.f64 y)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 y x))) (*.f64 (/.f64 (/.f64 y t) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 (/.f64 y t) #s(literal 1 binary64)) (neg.f64 (/.f64 y x)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 (/.f64 (/.f64 y t) #s(literal 1 binary64)) (neg.f64 x))) (*.f64 (/.f64 (/.f64 y t) #s(literal 1 binary64)) (neg.f64 y))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) #s(literal 1 binary64))) (*.f64 (/.f64 (/.f64 y t) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 (/.f64 y t) #s(literal 1 binary64)) (/.f64 (/.f64 y x) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (/.f64 y x) (*.f64 (/.f64 (/.f64 y t) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 (/.f64 y t) #s(literal 1 binary64)) (/.f64 y x))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 (/.f64 y t) #s(literal 1 binary64)) x)) (*.f64 (/.f64 (/.f64 y t) #s(literal 1 binary64)) y)) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y t) (*.f64 x #s(literal 1 binary64)))) (*.f64 (/.f64 y t) y)) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 y))) (*.f64 (/.f64 y t) (neg.f64 (neg.f64 x)))) (*.f64 (/.f64 y t) (neg.f64 (neg.f64 y)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 y x))) (*.f64 (/.f64 y t) #s(literal -1 binary64))) (*.f64 (/.f64 y t) (neg.f64 (/.f64 y x)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) #s(literal 1 binary64))) (*.f64 (/.f64 y t) #s(literal 1 binary64))) (*.f64 (/.f64 y t) (/.f64 (/.f64 y x) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 t y) (*.f64 y (*.f64 x #s(literal 1 binary64)))) (*.f64 y y)) |
(/.f64 (-.f64 (*.f64 t (neg.f64 (neg.f64 y))) (*.f64 y (neg.f64 (neg.f64 x)))) (*.f64 y (neg.f64 (neg.f64 y)))) |
(/.f64 (-.f64 (*.f64 t (neg.f64 (/.f64 y x))) (*.f64 y #s(literal -1 binary64))) (*.f64 y (neg.f64 (/.f64 y x)))) |
(/.f64 (-.f64 (*.f64 t (/.f64 (/.f64 y x) #s(literal 1 binary64))) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 (/.f64 y x) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 t #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64))) y) |
(/.f64 (-.f64 t (*.f64 x #s(literal 1 binary64))) y) |
(/.f64 (-.f64 (neg.f64 (neg.f64 t)) (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 y))) |
(/.f64 (-.f64 (*.f64 t #s(literal 1 binary64)) x) y) |
(/.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (pow.f64 y #s(literal -1 binary64))) (+.f64 x t)) |
(/.f64 (*.f64 (-.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal -1 binary64))) (fma.f64 x (+.f64 x t) (*.f64 t t))) |
(/.f64 (*.f64 (-.f64 t x) #s(literal 1 binary64)) y) |
(/.f64 (-.f64 (pow.f64 (/.f64 y t) #s(literal -2 binary64)) (pow.f64 (/.f64 y x) #s(literal -2 binary64))) (+.f64 (/.f64 t y) (/.f64 x y))) |
(/.f64 (-.f64 (pow.f64 (/.f64 y t) #s(literal -3 binary64)) (pow.f64 (/.f64 y x) #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 y t) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) (*.f64 (/.f64 t y) (/.f64 x y))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 x t) (-.f64 t x))) (neg.f64 (*.f64 y (+.f64 x t)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (*.f64 y (fma.f64 x (+.f64 x t) (*.f64 t t))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 t x))) (neg.f64 (neg.f64 y))) |
(/.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) #s(literal 1 binary64)) (*.f64 (+.f64 x t) y)) |
(/.f64 (*.f64 (-.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) y)) |
(/.f64 (-.f64 (*.f64 (neg.f64 t) (neg.f64 y)) (*.f64 (neg.f64 y) (neg.f64 x))) (*.f64 y y)) |
(/.f64 (-.f64 (*.f64 (neg.f64 t) (/.f64 y x)) (*.f64 (neg.f64 y) #s(literal 1 binary64))) (*.f64 (neg.f64 y) (/.f64 y x))) |
(/.f64 (-.f64 (*.f64 (neg.f64 t) y) (*.f64 (neg.f64 y) x)) (*.f64 (neg.f64 y) y)) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 (/.f64 y t) (neg.f64 x))) (*.f64 (/.f64 y t) (neg.f64 y))) |
(/.f64 (-.f64 (/.f64 y x) (*.f64 (/.f64 y t) #s(literal 1 binary64))) (*.f64 (/.f64 y t) (/.f64 y x))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y)) |
(/.f64 (-.f64 (*.f64 t (neg.f64 y)) (*.f64 y (neg.f64 x))) (*.f64 y (neg.f64 y))) |
(/.f64 (-.f64 (*.f64 t (/.f64 y x)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x))) |
(/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y)) |
(/.f64 (-.f64 (neg.f64 t) (neg.f64 x)) (neg.f64 y)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 y (-.f64 t x)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (-.f64 t x)))) |
(/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (*.f64 y (+.f64 x t))) |
(/.f64 (-.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 y (fma.f64 x (+.f64 x t) (*.f64 t t)))) |
(/.f64 (neg.f64 (-.f64 t x)) (neg.f64 y)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 y (-.f64 t x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (-.f64 t x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x))) |
(/.f64 (-.f64 t x) y) |
(neg.f64 (/.f64 (neg.f64 (-.f64 t x)) y)) |
(neg.f64 (/.f64 (-.f64 t x) (neg.f64 y))) |
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 t #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 x) y)) |
(fma.f64 (pow.f64 y #s(literal -1 binary64)) t (/.f64 (neg.f64 x) y)) |
(fma.f64 (neg.f64 t) (pow.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 (neg.f64 x) y)) |
(fma.f64 #s(literal 1 binary64) (/.f64 t y) (/.f64 (neg.f64 x) y)) |
(fma.f64 t (pow.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 x) y)) |
(-.f64 (/.f64 (pow.f64 (/.f64 y t) #s(literal -2 binary64)) (+.f64 (/.f64 t y) (/.f64 x y))) (/.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) (+.f64 (/.f64 t y) (/.f64 x y)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 y t) #s(literal -3 binary64)) (+.f64 (pow.f64 (/.f64 y t) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) (*.f64 (/.f64 t y) (/.f64 x y))))) (/.f64 (pow.f64 (/.f64 y x) #s(literal -3 binary64)) (+.f64 (pow.f64 (/.f64 y t) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) (*.f64 (/.f64 t y) (/.f64 x y)))))) |
(-.f64 (/.f64 (*.f64 (neg.f64 t) (neg.f64 y)) (*.f64 y y)) (/.f64 (*.f64 (neg.f64 y) (neg.f64 x)) (*.f64 y y))) |
(-.f64 (/.f64 (*.f64 (neg.f64 t) (/.f64 y x)) (*.f64 (neg.f64 y) (/.f64 y x))) (/.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (/.f64 y x)))) |
(-.f64 (/.f64 (*.f64 (neg.f64 t) y) (*.f64 (neg.f64 y) y)) (/.f64 (*.f64 (neg.f64 y) x) (*.f64 (neg.f64 y) y))) |
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 (/.f64 y t) (neg.f64 y))) (/.f64 (*.f64 (/.f64 y t) (neg.f64 x)) (*.f64 (/.f64 y t) (neg.f64 y)))) |
(-.f64 (/.f64 (/.f64 y x) (*.f64 (/.f64 y t) (/.f64 y x))) (/.f64 (*.f64 (/.f64 y t) #s(literal 1 binary64)) (*.f64 (/.f64 y t) (/.f64 y x)))) |
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y t) y)) (/.f64 (*.f64 (/.f64 y t) x) (*.f64 (/.f64 y t) y))) |
(-.f64 (/.f64 (*.f64 t (neg.f64 y)) (*.f64 y (neg.f64 y))) (/.f64 (*.f64 y (neg.f64 x)) (*.f64 y (neg.f64 y)))) |
(-.f64 (/.f64 (*.f64 t (/.f64 y x)) (*.f64 y (/.f64 y x))) (/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 y (/.f64 y x)))) |
(-.f64 (/.f64 (*.f64 t y) (*.f64 y y)) (/.f64 (*.f64 y x) (*.f64 y y))) |
(-.f64 (/.f64 (*.f64 t t) (*.f64 y (+.f64 x t))) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x t)))) |
(-.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 y (fma.f64 x (+.f64 x t) (*.f64 t t)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y (fma.f64 x (+.f64 x t) (*.f64 t t))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (-.f64 t x) (neg.f64 y))) |
(-.f64 (/.f64 (/.f64 (*.f64 t t) (+.f64 x t)) y) (/.f64 (/.f64 (*.f64 x x) (+.f64 x t)) y)) |
(-.f64 (/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 x (+.f64 x t) (*.f64 t t))) y) (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 x t) (*.f64 t t))) y)) |
(-.f64 (/.f64 t y) (/.f64 x y)) |
(exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 t x))) #s(literal -1 binary64))) |
(+.f64 (/.f64 t y) (/.f64 (neg.f64 x) y)) |
#s(approx (tanh (/ t y)) (/.f64 t y)) |
Compiled 30 522 to 3 397 computations (88.9% saved)
18 alts after pruning (16 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 708 | 16 | 724 |
| Fresh | 0 | 0 | 0 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 711 | 18 | 729 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 96.1% | (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) |
| ▶ | 64.2% | (fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) |
| 23.9% | (/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 z y)) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 z y)) x)) | |
| ▶ | 25.8% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t (/.f64 y x)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x)))))) |
| ▶ | 26.9% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y))))) |
| 27.3% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y))))) | |
| 28.9% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (*.f64 y (+.f64 x t)))))) | |
| 43.1% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))) | |
| 45.1% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x)))))) | |
| 26.9% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 t x))) #s(literal -1 binary64)))))) | |
| 54.5% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))))) | |
| 42.8% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 (-.f64 (/.f64 (/.f64 t x) y) (/.f64 #s(literal 1 binary64) y)) x))))) | |
| 42.1% | (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (/.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) z) (+.f64 x t)))) | |
| ✓ | 60.8% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) |
| ▶ | 58.9% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 (-.f64 (/.f64 (*.f64 z t) x) z) x x))) |
| 49.8% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 (+.f64 (/.f64 x z) t) x) z))) | |
| 53.2% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) x))) | |
| ▶ | 17.9% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 z t))) |
Compiled 966 to 624 computations (35.4% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t (/.f64 y x)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x))))) | |
| cost-diff | 128 | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t (/.f64 y x)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x)))))) | |
| cost-diff | 320 | (*.f64 y #s(literal 1 binary64)) | |
| cost-diff | 2048 | (/.f64 (-.f64 (*.f64 t (/.f64 y x)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x))) | |
| cost-diff | 0 | (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y)))) | |
| cost-diff | 128 | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y))))) | |
| cost-diff | 320 | (-.f64 (*.f64 t y) (*.f64 y x)) | |
| cost-diff | 640 | (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y)) | |
| cost-diff | 0 | (-.f64 (/.f64 (*.f64 z t) x) z) | |
| cost-diff | 0 | #s(approx (+ (* (- t x) z) x) (fma.f64 (-.f64 (/.f64 (*.f64 z t) x) z) x x)) | |
| cost-diff | 0 | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 (-.f64 (/.f64 (*.f64 z t) x) z) x x))) | |
| cost-diff | 1024 | (fma.f64 (-.f64 (/.f64 (*.f64 z t) x) z) x x) | |
| cost-diff | 0 | (*.f64 z t) | |
| cost-diff | 0 | #s(approx (+ (* (- t x) z) x) (*.f64 z t)) | |
| cost-diff | 0 | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 z t))) | |
| cost-diff | 0 | #s(approx (tanh (/ t y)) (/.f64 t y)) | |
| cost-diff | 0 | (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) | |
| cost-diff | 0 | (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) | |
| cost-diff | 0 | (fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 431 |
| 0 | 77 | 411 |
| 1 | 177 | 393 |
| 2 | 458 | 361 |
| 3 | 1514 | 352 |
| 4 | 5128 | 352 |
| 0 | 8405 | 341 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) |
(*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) |
(-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
#s(approx (tanh (/ t y)) (/.f64 t y)) |
(/.f64 t y) |
t |
y |
(tanh.f64 (/.f64 x y)) |
(/.f64 x y) |
x |
z |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 z t))) |
#s(approx (+ (* (- t x) z) x) (*.f64 z t)) |
(*.f64 z t) |
z |
t |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 (-.f64 (/.f64 (*.f64 z t) x) z) x x))) |
#s(approx (+ (* (- t x) z) x) (fma.f64 (-.f64 (/.f64 (*.f64 z t) x) z) x x)) |
(fma.f64 (-.f64 (/.f64 (*.f64 z t) x) z) x x) |
(-.f64 (/.f64 (*.f64 z t) x) z) |
(/.f64 (*.f64 z t) x) |
(*.f64 z t) |
z |
t |
x |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y))))) |
x |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y)))) |
(*.f64 y z) |
y |
z |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y))) |
(/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y)) |
(-.f64 (*.f64 t y) (*.f64 y x)) |
(*.f64 t y) |
t |
(*.f64 y x) |
(*.f64 y y) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t (/.f64 y x)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x)))))) |
x |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t (/.f64 y x)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x))))) |
(*.f64 y z) |
y |
z |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t (/.f64 y x)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x)))) |
(/.f64 (-.f64 (*.f64 t (/.f64 y x)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x))) |
(-.f64 (*.f64 t (/.f64 y x)) (*.f64 y #s(literal 1 binary64))) |
(*.f64 t (/.f64 y x)) |
t |
(/.f64 y x) |
(*.f64 y #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 y (/.f64 y x)) |
| Outputs |
|---|
(fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) |
(fma.f64 (*.f64 z y) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) x) |
(*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) |
(*.f64 z (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
(-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
#s(approx (tanh (/ t y)) (/.f64 t y)) |
(/.f64 t y) |
t |
y |
(tanh.f64 (/.f64 x y)) |
(/.f64 x y) |
x |
z |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 z t))) |
#s(approx (+ (* (- t x) z) x) (*.f64 z t)) |
(*.f64 z t) |
z |
t |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 (-.f64 (/.f64 (*.f64 z t) x) z) x x))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 (-.f64 t x) z x))) |
#s(approx (+ (* (- t x) z) x) (fma.f64 (-.f64 (/.f64 (*.f64 z t) x) z) x x)) |
#s(approx (+ (* (- t x) z) x) (fma.f64 (-.f64 t x) z x)) |
(fma.f64 (-.f64 (/.f64 (*.f64 z t) x) z) x x) |
(fma.f64 (-.f64 t x) z x) |
(-.f64 (/.f64 (*.f64 z t) x) z) |
(/.f64 (*.f64 z t) x) |
(*.f64 z t) |
z |
t |
x |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y))))) |
(fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 z y) x) |
x |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y)))) |
(*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 z y)) |
(*.f64 y z) |
(*.f64 z y) |
y |
z |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y))) |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) |
(/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y)) |
(/.f64 (-.f64 t x) y) |
(-.f64 (*.f64 t y) (*.f64 y x)) |
(*.f64 (-.f64 t x) y) |
(*.f64 t y) |
(*.f64 y t) |
t |
(*.f64 y x) |
(*.f64 x y) |
(*.f64 y y) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t (/.f64 y x)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x)))))) |
(fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 z y) x) |
x |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t (/.f64 y x)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x))))) |
(*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 z y)) |
(*.f64 y z) |
(*.f64 z y) |
y |
z |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t (/.f64 y x)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x)))) |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) |
(/.f64 (-.f64 (*.f64 t (/.f64 y x)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x))) |
(/.f64 (-.f64 t x) y) |
(-.f64 (*.f64 t (/.f64 y x)) (*.f64 y #s(literal 1 binary64))) |
(-.f64 (*.f64 (/.f64 y x) t) y) |
(*.f64 t (/.f64 y x)) |
(*.f64 (/.f64 y x) t) |
t |
(/.f64 y x) |
(*.f64 y #s(literal 1 binary64)) |
y |
#s(literal 1 binary64) |
(*.f64 y (/.f64 y x)) |
(*.f64 (/.f64 y x) y) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 5.1269027621443914 | (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t (/.f64 y x)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x))))) | |
| accuracy | 8.204097495559568 | (*.f64 t (/.f64 y x)) | |
| accuracy | 19.877030016370746 | (/.f64 (-.f64 (*.f64 t (/.f64 y x)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x))) | |
| accuracy | 40.583185543354844 | #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t (/.f64 y x)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x)))) | |
| accuracy | 0.4570291858302058 | (-.f64 (*.f64 t y) (*.f64 y x)) | |
| accuracy | 5.1269027621443914 | (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y)))) | |
| accuracy | 19.816015067115675 | (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y)) | |
| accuracy | 40.583185543354844 | #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y))) | |
| accuracy | 0.0078125 | (-.f64 (/.f64 (*.f64 z t) x) z) | |
| accuracy | 3.7991151851491156 | (fma.f64 (-.f64 (/.f64 (*.f64 z t) x) z) x x) | |
| accuracy | 5.046524315394141 | (/.f64 (*.f64 z t) x) | |
| accuracy | 25.105203833779292 | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 (-.f64 (/.f64 (*.f64 z t) x) z) x x))) | |
| accuracy | 0.0 | (*.f64 z t) | |
| accuracy | 25.105203833779292 | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 z t))) | |
| accuracy | 36.71520439795539 | #s(approx (+ (* (- t x) z) x) (*.f64 z t)) | |
| accuracy | 0.3519264849899325 | (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) | |
| accuracy | 1.0390471085940927 | (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) | |
| accuracy | 1.5029284960488911 | (fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) | |
| accuracy | 30.853732317555316 | #s(approx (tanh (/ t y)) (/.f64 t y)) |
| 69.0ms | 209× | 0 | valid |
| 47.0ms | 43× | 2 | valid |
| 2.0ms | 3× | 3 | valid |
| 1.0ms | 1× | 1 | valid |
Compiled 720 to 86 computations (88.1% saved)
ival-mult: 32.0ms (34.4% of total)ival-sub: 26.0ms (27.9% of total)ival-add: 14.0ms (15% of total)ival-div: 12.0ms (12.9% of total)adjust: 5.0ms (5.4% of total)ival-tanh: 3.0ms (3.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) |
(*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) |
(-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
#s(approx (tanh (/ t y)) (/.f64 t y)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 z t))) |
#s(approx (+ (* (- t x) z) x) (*.f64 z t)) |
(*.f64 z t) |
(fma.f64 (-.f64 (/.f64 (*.f64 z t) x) z) x x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 (-.f64 (/.f64 (*.f64 z t) x) z) x x))) |
#s(approx (+ (* (- t x) z) x) (fma.f64 (-.f64 (/.f64 (*.f64 z t) x) z) x x)) |
(-.f64 (/.f64 (*.f64 z t) x) z) |
(/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y)) |
(-.f64 (*.f64 t y) (*.f64 y x)) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y))))) |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y)))) |
(/.f64 (-.f64 (*.f64 t (/.f64 y x)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x))) |
(*.f64 y #s(literal 1 binary64)) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t (/.f64 y x)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x)))))) |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t (/.f64 y x)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x))))) |
(/.f64 (*.f64 z t) x) |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y))) |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t (/.f64 y x)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x)))) |
(*.f64 t (/.f64 y x)) |
| Outputs |
|---|
(* 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)))))))))) |
(* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))) |
(+ (* -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 (/ z y)) (* 1/3 (/ (* (pow x 2) z) (pow y 3))))) (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))) |
(+ (* x (+ (* -1 (/ z y)) (* (pow x 2) (+ (* -2/15 (/ (* (pow x 2) z) (pow y 5))) (* 1/3 (/ z (pow y 3))))))) (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))) |
(- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))) |
(- (+ (* -1 (/ x y)) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))) |
(- (+ (* x (- (* 1/3 (/ (pow x 2) (pow y 3))) (/ 1 y))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))) |
(- (+ (* x (- (* (pow x 2) (+ (* -2/15 (/ (pow x 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))) |
(* t z) |
(+ (* t z) (* x (+ 1 (* -1 z)))) |
(/ (* t z) x) |
(/ (+ (* -1 (* x z)) (* t z)) x) |
(/ t y) |
(+ (* -1 (/ x y)) (/ t y)) |
(* t y) |
(+ (* -1 (* x y)) (* t y)) |
(+ (* -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 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 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)))))))))) |
(/ (* t y) x) |
x |
(* x (+ 1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x))) |
(* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(* x (+ 1 (* -1 z))) |
(* x (+ 1 (+ (* -1 z) (/ (* t z) x)))) |
(* x (- 1 z)) |
(* x (- (+ 1 (/ (* t z) x)) z)) |
(* -1 z) |
(- (/ (* t z) x) z) |
(* -1 (/ x y)) |
(* x (- (/ t (* x y)) (/ 1 y))) |
(* -1 (* x y)) |
(* x (- (/ (* t y) x) y)) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
(* -1 (* x (- z 1))) |
(* -1 (* x (- (+ z (* -1 (/ (* t z) x))) 1))) |
(* -1 (* x (+ (* -1 (/ t (* x y))) (/ 1 y)))) |
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(+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
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(+ (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (/ (* t z) y)) |
(+ (* t (+ (* -1/3 (/ (* (pow t 2) z) (pow y 3))) (/ z y))) (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) |
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(- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
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(* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y))) |
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(+ x (+ (* -1 (* x z)) (* t z))) |
(- (* t y) (* x y)) |
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(* t (+ z (+ (* -1 (/ (* x z) t)) (/ x t)))) |
(* t (+ (* -1 (/ z t)) (/ z x))) |
(* t (+ (* -1 (/ x (* t y))) (/ 1 y))) |
(* t (+ y (* -1 (/ (* x y) t)))) |
(* -1 (* t (+ (* -1 z) (* -1 (/ (+ x (* -1 (* x z))) t))))) |
(* -1 (* t (+ (* -1 (/ z x)) (/ z t)))) |
(* -1 (* t (- (/ x (* t y)) (/ 1 y)))) |
(* -1 (* t (+ (* -1 y) (/ (* x y) t)))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 15.0ms | x | @ | -inf | ((+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) z) y) x) (* (- (tanh (/ t y)) (tanh (/ x y))) z) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (* z t) (+ (* (- (/ (* z t) x) z) x) x) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (- (/ (* z t) x) z) (/ (- (* t y) (* y x)) (* y y)) (- (* t y) (* y x)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (/ (- (* t (/ y x)) (* y 1)) (* y (/ y x))) (* y 1) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (/ (* z t) x) (- (tanh (/ t y)) (tanh (/ x y))) (- (tanh (/ t y)) (tanh (/ x y))) (* t (/ y x))) |
| 9.0ms | x | @ | inf | ((+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) z) y) x) (* (- (tanh (/ t y)) (tanh (/ x y))) z) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (* z t) (+ (* (- (/ (* z t) x) z) x) x) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (- (/ (* z t) x) z) (/ (- (* t y) (* y x)) (* y y)) (- (* t y) (* y x)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (/ (- (* t (/ y x)) (* y 1)) (* y (/ y x))) (* y 1) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (/ (* z t) x) (- (tanh (/ t y)) (tanh (/ x y))) (- (tanh (/ t y)) (tanh (/ x y))) (* t (/ y x))) |
| 6.0ms | t | @ | inf | ((+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) z) y) x) (* (- (tanh (/ t y)) (tanh (/ x y))) z) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (* z t) (+ (* (- (/ (* z t) x) z) x) x) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (- (/ (* z t) x) z) (/ (- (* t y) (* y x)) (* y y)) (- (* t y) (* y x)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (/ (- (* t (/ y x)) (* y 1)) (* y (/ y x))) (* y 1) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (/ (* z t) x) (- (tanh (/ t y)) (tanh (/ x y))) (- (tanh (/ t y)) (tanh (/ x y))) (* t (/ y x))) |
| 5.0ms | t | @ | -inf | ((+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) z) y) x) (* (- (tanh (/ t y)) (tanh (/ x y))) z) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (* z t) (+ (* (- (/ (* z t) x) z) x) x) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (- (/ (* z t) x) z) (/ (- (* t y) (* y x)) (* y y)) (- (* t y) (* y x)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (/ (- (* t (/ y x)) (* y 1)) (* y (/ y x))) (* y 1) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (/ (* z t) x) (- (tanh (/ t y)) (tanh (/ x y))) (- (tanh (/ t y)) (tanh (/ x y))) (* t (/ y x))) |
| 5.0ms | z | @ | inf | ((+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) z) y) x) (* (- (tanh (/ t y)) (tanh (/ x y))) z) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (* z t) (+ (* (- (/ (* z t) x) z) x) x) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (- (/ (* z t) x) z) (/ (- (* t y) (* y x)) (* y y)) (- (* t y) (* y x)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (/ (- (* t (/ y x)) (* y 1)) (* y (/ y x))) (* y 1) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (/ (* z t) x) (- (tanh (/ t y)) (tanh (/ x y))) (- (tanh (/ t y)) (tanh (/ x y))) (* t (/ y x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 608 | 5488 |
| 1 | 2032 | 3839 |
| 2 | 7979 | 3839 |
| 0 | 8002 | 3656 |
| 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))))))))) |
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(+ (* x (+ (* -1 (/ z y)) (* (pow x 2) (+ (* -2/15 (/ (* (pow x 2) z) (pow y 5))) (* 1/3 (/ z (pow y 3))))))) (* 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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(* t z) |
(+ (* t z) (* x (+ 1 (* -1 z)))) |
(/ (* t z) x) |
(/ (+ (* -1 (* x z)) (* t z)) x) |
(/ t y) |
(+ (* -1 (/ x y)) (/ t y)) |
(* t y) |
(+ (* -1 (* x y)) (* t y)) |
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(+ (* x (+ (* -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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(/ (* t y) x) |
x |
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(* -1 z) |
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(/ (- t x) y) |
(* y (- t x)) |
(/ (* x (- (/ t x) 1)) y) |
y |
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(/ (* z (- t x)) y) |
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(/ (- (+ 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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(/ (+ t (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y))) y) |
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(* z (- t x)) |
(+ (* z (- t x)) (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y)) |
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(* -1 (/ (* z (- (* -1 t) (* -1 x))) y)) |
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(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* z (- (+ (* -1/2 (pow x 3)) (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))))) (+ (* -1/2 (pow t 3)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))))) y)) (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))))) y)) (* z (- (* -1 t) (* -1 x)))) 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)) |
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(* -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)) |
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(* -1 (/ (* x (+ 1 (* -1 (/ t x)))) y)) |
(+ x (* x (* z (- (/ t x) 1)))) |
(* z (- (/ t x) 1)) |
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(* z (- (+ t (/ x z)) x)) |
(* x (* z (- (/ t x) 1))) |
(* z (+ (* x (- (/ t x) 1)) (/ x z))) |
(* -1 (* z (+ (* -1 (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 (- t x)) (* -1 (/ x z))))) |
(* -1 (* x (* z (+ 1 (* -1 (/ t x)))))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (+ 1 (* -1 (/ t x))))))) |
(* -1 (* z (+ 1 (* -1 (/ t x))))) |
(+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(+ 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)))))))))) |
(* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(+ (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (/ (* t z) y)) |
(+ (* t (+ (* -1/3 (/ (* (pow t 2) z) (pow y 3))) (/ z y))) (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) |
(+ (* t (+ (* (pow t 2) (+ (* -1/3 (/ z (pow y 3))) (* 2/15 (/ (* (pow t 2) z) (pow y 5))))) (/ z y))) (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) |
(- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y)) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(- (+ (* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(- (+ (* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(* 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))) |
(+ x (* -1 (* x z))) |
(+ x (+ (* -1 (* x z)) (* t z))) |
(- (* t y) (* x y)) |
(* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) |
(+ (* 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))))))))) |
(+ (* 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))))))))) |
(+ (* 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))))))))) |
(* t (+ z (+ (* -1 (/ (* x z) t)) (/ x t)))) |
(* t (+ (* -1 (/ z t)) (/ z x))) |
(* t (+ (* -1 (/ x (* t y))) (/ 1 y))) |
(* t (+ y (* -1 (/ (* x y) t)))) |
(* -1 (* t (+ (* -1 z) (* -1 (/ (+ x (* -1 (* x z))) t))))) |
(* -1 (* t (+ (* -1 (/ z x)) (/ z t)))) |
(* -1 (* t (- (/ x (* t y)) (/ 1 y)))) |
(* -1 (* t (+ (* -1 y) (/ (* x y) t)))) |
| Outputs |
|---|
(* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))) |
(*.f64 (*.f64 z y) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) |
(+ (* x (+ 1 (* -1 z))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))) |
(fma.f64 (*.f64 z y) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) |
(+ (* x (+ 1 (+ (* -1 z) (* 1/3 (/ (* (pow x 2) z) (pow y 2)))))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))) |
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(+ (* t (+ (* -1/3 (/ (* (pow t 2) z) (pow y 3))) (/ z y))) (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) z (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 z (pow.f64 y #s(literal 3 binary64)))) t) t (/.f64 z y)) t)) |
(+ (* t (+ (* (pow t 2) (+ (* -1/3 (/ z (pow y 3))) (* 2/15 (/ (* (pow t 2) z) (pow y 5))))) (/ z y))) (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) z (fma.f64 (fma.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 t t)) (/.f64 z (pow.f64 y #s(literal 5 binary64))) (*.f64 #s(literal -1/3 binary64) (/.f64 z (pow.f64 y #s(literal 3 binary64))))) (pow.f64 t #s(literal 3 binary64)) (*.f64 (/.f64 z y) t))) |
(- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y)) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 t y)) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) |
(- (+ (* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(-.f64 (fma.f64 (fma.f64 (*.f64 t (/.f64 t (pow.f64 y #s(literal 3 binary64)))) #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) y)) t (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) |
(- (+ (* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(-.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 2/15 binary64) (pow.f64 y #s(literal 5 binary64))) t) t (/.f64 #s(literal -1/3 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 t t) (/.f64 #s(literal 1 binary64) y)) t (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) |
(* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y))) |
(*.f64 (fma.f64 (*.f64 t (/.f64 t (pow.f64 y #s(literal 3 binary64)))) #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) y)) t) |
(* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 2/15 binary64) (pow.f64 y #s(literal 5 binary64))) t) t (/.f64 #s(literal -1/3 binary64) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 t #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) y) t)) |
(* t (+ (* (pow t 2) (- (* (pow t 2) (+ (* -17/315 (/ (pow t 2) (pow y 7))) (* 2/15 (/ 1 (pow y 5))))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 t (/.f64 t (pow.f64 y #s(literal 7 binary64)))) #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (pow.f64 y #s(literal 5 binary64)))) (*.f64 t t) (/.f64 #s(literal -1/3 binary64) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 t #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) y) t)) |
(+ x (* -1 (* x z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(+ x (+ (* -1 (* x z)) (* t z))) |
(fma.f64 (-.f64 t x) z x) |
(- (* t y) (* x y)) |
(*.f64 (-.f64 t x) y) |
(* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) |
(*.f64 (*.f64 z y) (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))) |
(+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(fma.f64 (*.f64 z y) (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (*.f64 z t)) |
(+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(fma.f64 (*.f64 z y) (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (*.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) y) (/.f64 (*.f64 (*.f64 t t) z) y) z) t)) |
(+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(fma.f64 (*.f64 z y) (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (fma.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) y) (/.f64 z y) (*.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 t t)) (/.f64 z (pow.f64 y #s(literal 4 binary64))))) (pow.f64 t #s(literal 3 binary64)) (*.f64 z t))) |
(* t (+ z (+ (* -1 (/ (* x z) t)) (/ x t)))) |
(*.f64 (fma.f64 (neg.f64 x) (/.f64 z t) (+.f64 (/.f64 x t) z)) t) |
(* t (+ (* -1 (/ z t)) (/ z x))) |
(*.f64 (-.f64 (/.f64 z x) (/.f64 z t)) t) |
(* t (+ (* -1 (/ x (* t y))) (/ 1 y))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 x t) y)) t) |
(* t (+ y (* -1 (/ (* x y) t)))) |
(*.f64 (-.f64 y (*.f64 y (/.f64 x t))) t) |
(* -1 (* t (+ (* -1 z) (* -1 (/ (+ x (* -1 (* x z))) t))))) |
(*.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) t) z)) (neg.f64 t)) |
(* -1 (* t (+ (* -1 (/ z x)) (/ z t)))) |
(*.f64 (-.f64 (/.f64 z t) (/.f64 z x)) (neg.f64 t)) |
(* -1 (* t (- (/ x (* t y)) (/ 1 y)))) |
(*.f64 (-.f64 (/.f64 (/.f64 x t) y) (/.f64 #s(literal 1 binary64) y)) (neg.f64 t)) |
(* -1 (* t (+ (* -1 y) (/ (* x y) t)))) |
(*.f64 (fma.f64 y (/.f64 x t) (neg.f64 y)) (neg.f64 t)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 368 |
| 0 | 77 | 358 |
| 1 | 344 | 348 |
| 2 | 2837 | 340 |
| 0 | 9094 | 332 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) |
(*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) |
(-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
#s(approx (tanh (/ t y)) (/.f64 t y)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 z t))) |
#s(approx (+ (* (- t x) z) x) (*.f64 z t)) |
(*.f64 z t) |
(fma.f64 (-.f64 (/.f64 (*.f64 z t) x) z) x x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 (-.f64 (/.f64 (*.f64 z t) x) z) x x))) |
#s(approx (+ (* (- t x) z) x) (fma.f64 (-.f64 (/.f64 (*.f64 z t) x) z) x x)) |
(-.f64 (/.f64 (*.f64 z t) x) z) |
(/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y)) |
(-.f64 (*.f64 t y) (*.f64 y x)) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y))))) |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y)))) |
(/.f64 (-.f64 (*.f64 t (/.f64 y x)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x))) |
(*.f64 y #s(literal 1 binary64)) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t (/.f64 y x)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x)))))) |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t (/.f64 y x)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x))))) |
(/.f64 (*.f64 z t) x) |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y))) |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t (/.f64 y x)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x)))) |
(*.f64 t (/.f64 y x)) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 (fma.f64 (*.f64 z y) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 x (*.f64 (*.f64 z y) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (pow.f64 (*.f64 (*.f64 z y) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (*.f64 z y) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (*.f64 x x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 (*.f64 z y) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (pow.f64 (*.f64 (*.f64 z y) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (fma.f64 (*.f64 z y) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x))) (*.f64 (fma.f64 (*.f64 z y) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x)) (*.f64 x x))) (*.f64 (fma.f64 (*.f64 z y) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x)) (fma.f64 (*.f64 z y) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 z y) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64))) (-.f64 x (*.f64 (*.f64 z y) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 (*.f64 z y) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (*.f64 z y) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (pow.f64 (*.f64 (*.f64 z y) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 (*.f64 z y) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 (*.f64 z y) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 (*.f64 z y) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (pow.f64 (*.f64 (*.f64 z y) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 z y) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 (*.f64 z y) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (pow.f64 (*.f64 (*.f64 z y) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(fma.f64 (*.f64 (*.f64 z (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 1 binary64)) y x) |
(fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) |
(fma.f64 (*.f64 y (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) z x) |
(fma.f64 (*.f64 (*.f64 z y) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 1 binary64) x) |
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 z y) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x) |
(fma.f64 (*.f64 z y) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) x) |
(fma.f64 (*.f64 z (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y x) |
(fma.f64 z (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) x) |
(fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) x) |
(fma.f64 y (*.f64 #s(literal 1 binary64) (*.f64 z (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))) x) |
(fma.f64 y (*.f64 z (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (fma.f64 (*.f64 z y) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (*.f64 z y) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x)))) |
(+.f64 (*.f64 (*.f64 z y) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x) |
(+.f64 x (*.f64 (*.f64 z y) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
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(*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) |
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(fma.f64 #s(literal 1 binary64) (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (-.f64 (/.f64 t y) (/.f64 y (*.f64 (/.f64 y x) y)))) (*.f64 z y)) x) |
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (-.f64 (/.f64 t y) (/.f64 y (*.f64 (/.f64 y x) y)))) x) |
(fma.f64 z (*.f64 y #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (-.f64 (/.f64 t y) (/.f64 y (*.f64 (/.f64 y x) y))))) x) |
(fma.f64 y (*.f64 #s(literal 1 binary64) (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (-.f64 (/.f64 t y) (/.f64 y (*.f64 (/.f64 y x) y)))) z)) x) |
(fma.f64 y (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (-.f64 (/.f64 t y) (/.f64 y (*.f64 (/.f64 y x) y)))) z) x) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (-.f64 (/.f64 t y) (/.f64 y (*.f64 (/.f64 y x) y)))) (*.f64 z y)))) (/.f64 (pow.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (-.f64 (/.f64 t y) (/.f64 y (*.f64 (/.f64 y x) y)))) (*.f64 z y)) #s(literal 2 binary64)) (-.f64 x (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (-.f64 (/.f64 t y) (/.f64 y (*.f64 (/.f64 y x) y)))) (*.f64 z y))))) |
(+.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (-.f64 (/.f64 t y) (/.f64 y (*.f64 (/.f64 y x) y)))) (*.f64 z y)) x) |
(+.f64 x (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (-.f64 (/.f64 t y) (/.f64 y (*.f64 (/.f64 y x) y)))) (*.f64 z y))) |
(*.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (-.f64 (/.f64 t y) (/.f64 y (*.f64 (/.f64 y x) y)))) y) z) |
(*.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (-.f64 (/.f64 t y) (/.f64 y (*.f64 (/.f64 y x) y)))) z) y) |
(*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (-.f64 (/.f64 t y) (/.f64 y (*.f64 (/.f64 y x) y)))) (*.f64 z y)) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (-.f64 (/.f64 t y) (/.f64 y (*.f64 (/.f64 y x) y)))) (*.f64 z y))) |
(*.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (-.f64 (/.f64 t y) (/.f64 y (*.f64 (/.f64 y x) y))))) |
(*.f64 z (*.f64 y #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (-.f64 (/.f64 t y) (/.f64 y (*.f64 (/.f64 y x) y)))))) |
(*.f64 y (*.f64 #s(literal 1 binary64) (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (-.f64 (/.f64 t y) (/.f64 y (*.f64 (/.f64 y x) y)))) z))) |
(*.f64 y (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (-.f64 (/.f64 t y) (/.f64 y (*.f64 (/.f64 y x) y)))) z)) |
(*.f64 (/.f64 t x) z) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 z t) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 z t)) |
(*.f64 (*.f64 (neg.f64 z) t) (pow.f64 (neg.f64 x) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 z t) x)) |
(*.f64 (*.f64 z t) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 z (/.f64 t x)) |
(*.f64 t (/.f64 z x)) |
(*.f64 t (*.f64 z (pow.f64 x #s(literal -1 binary64)))) |
(pow.f64 (/.f64 (/.f64 x (*.f64 z t)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x (*.f64 z t)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 z) t)) (neg.f64 (neg.f64 x))) |
(/.f64 (*.f64 (*.f64 z t) #s(literal 1 binary64)) x) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (*.f64 z t)))) |
(/.f64 (*.f64 (neg.f64 z) t) (neg.f64 x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (*.f64 z t)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 z t))) |
(/.f64 (*.f64 z t) x) |
(neg.f64 (/.f64 (*.f64 (neg.f64 z) t) x)) |
(neg.f64 (/.f64 (*.f64 z t) (neg.f64 x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (*.f64 z t))) #s(literal -1 binary64))) |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (pow.f64 y #s(literal -2 binary64)) (*.f64 y (-.f64 t x)))) |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (-.f64 (/.f64 t y) (/.f64 y (*.f64 (/.f64 y x) y)))) |
(*.f64 (/.f64 y x) t) |
(*.f64 (*.f64 y t) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 y (*.f64 (pow.f64 x #s(literal -1 binary64)) t)) |
(*.f64 y (/.f64 t x)) |
(*.f64 t (/.f64 y x)) |
(pow.f64 (/.f64 x (*.f64 y t)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (neg.f64 y) t) (neg.f64 x)) |
(/.f64 (*.f64 t (neg.f64 y)) (neg.f64 x)) |
(/.f64 (*.f64 #s(literal 1 binary64) t) (/.f64 x y)) |
(/.f64 (*.f64 t #s(literal 1 binary64)) (/.f64 x y)) |
(/.f64 (neg.f64 (*.f64 y t)) (neg.f64 x)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y t))) |
(/.f64 (*.f64 y t) x) |
(/.f64 t (/.f64 x y)) |
Compiled 24 078 to 2 900 computations (88% saved)
24 alts after pruning (20 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 545 | 13 | 558 |
| Fresh | 4 | 7 | 11 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 552 | 24 | 576 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 96.1% | (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) |
| ✓ | 64.2% | (fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) |
| ▶ | 26.6% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (/.f64 t (/.f64 x y)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x)))))) |
| 22.6% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 y x) t) y) (/.f64 y x)) (*.f64 (/.f64 y x) (/.f64 y y))) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))) | |
| 15.8% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y t) y) (*.f64 (neg.f64 y) y)) (*.f64 y (*.f64 (neg.f64 y) x))) (*.f64 y (*.f64 (neg.f64 y) y)))))) | |
| 25.8% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 (/.f64 y x) t) y) (*.f64 (/.f64 y x) y))))) | |
| 15.7% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 y y) (*.f64 (/.f64 (*.f64 y y) (*.f64 y t)) (*.f64 x y))) (*.f64 (/.f64 (*.f64 y y) (*.f64 y t)) (*.f64 y y)))))) | |
| 27.3% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y))))) | |
| 28.9% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (*.f64 y (+.f64 x t)))))) | |
| 25.3% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- (* t y) (* y x)) (*.f64 (-.f64 (/.f64 (*.f64 y t) x) y) x)) (*.f64 y y))))) | |
| 26.8% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- (* t y) (* y x)) (*.f64 (neg.f64 x) y)) (*.f64 y y))))) | |
| 43.1% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))) | |
| 45.1% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x)))))) | |
| 26.9% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 t x))) #s(literal -1 binary64)))))) | |
| ▶ | 42.8% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- (* t (/ y x)) (* y 1)) (* y (/ y x))) (*.f64 (neg.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 t x)) y)))))) |
| 54.5% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- (* t y) (* y x)) (* y y)) (/.f64 t y))))) | |
| ▶ | 42.1% | (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (/.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) z) (+.f64 x t)))) |
| ✓ | 60.8% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) |
| ▶ | 58.8% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 z t) (neg.f64 z)) x x))) |
| 48.5% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 z t) x) #s(literal 2 binary64)) (*.f64 z z)) (fma.f64 (/.f64 t x) z z)) x x))) | |
| 29.1% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 (-.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x (*.f64 z t))) #s(literal -1 binary64))) z) x x))) | |
| 57.1% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 #s(approx (- (/ (* z t) x) z) (/.f64 (*.f64 z t) x)) x x))) | |
| ▶ | 53.2% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) x))) |
| ✓ | 17.9% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 z t))) |
Compiled 1 431 to 907 computations (36.6% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 128 | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (/.f64 t (/.f64 x y)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x)))))) | |
| cost-diff | 320 | (*.f64 y #s(literal 1 binary64)) | |
| cost-diff | 384 | (/.f64 t (/.f64 x y)) | |
| cost-diff | 2048 | (/.f64 (-.f64 (/.f64 t (/.f64 x y)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x))) | |
| cost-diff | 0 | (*.f64 y z) | |
| cost-diff | 0 | (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- (* t (/ y x)) (* y 1)) (* y (/ y x))) (*.f64 (neg.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 t x)) y))))) | |
| cost-diff | 128 | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- (* t (/ y x)) (* y 1)) (* y (/ y x))) (*.f64 (neg.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 t x)) y)))))) | |
| cost-diff | 1152 | (*.f64 (neg.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 t x)) y)) | |
| cost-diff | 0 | (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) z) | |
| cost-diff | 0 | #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (/.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) z) (+.f64 x t))) | |
| cost-diff | 0 | (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (/.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) z) (+.f64 x t)))) | |
| cost-diff | 1408 | (/.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) z) (+.f64 x t)) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) z) | |
| cost-diff | 0 | (*.f64 (-.f64 #s(literal 1 binary64) z) x) | |
| cost-diff | 0 | #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) | |
| cost-diff | 0 | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) x))) | |
| cost-diff | 0 | #s(approx (+ (* (- t x) z) x) (fma.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 z t) (neg.f64 z)) x x)) | |
| cost-diff | 0 | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 z t) (neg.f64 z)) x x))) | |
| cost-diff | 1024 | (fma.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 z t) (neg.f64 z)) x x) | |
| cost-diff | 6080 | (fma.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 z t) (neg.f64 z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 551 |
| 0 | 94 | 528 |
| 1 | 211 | 528 |
| 2 | 556 | 455 |
| 3 | 1878 | 401 |
| 4 | 5523 | 401 |
| 0 | 8107 | 390 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 z t) (neg.f64 z)) x x))) |
#s(approx (+ (* (- t x) z) x) (fma.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 z t) (neg.f64 z)) x x)) |
(fma.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 z t) (neg.f64 z)) x x) |
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 z t) (neg.f64 z)) |
(pow.f64 x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
(*.f64 z t) |
z |
t |
(neg.f64 z) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) x))) |
#s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(-.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
x |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (/.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) z) (+.f64 x t)))) |
x |
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (/.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) z) (+.f64 x t))) |
(/.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) z) (+.f64 x t)) |
(*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) z) |
(*.f64 (+.f64 x t) (-.f64 t x)) |
(+.f64 x t) |
t |
(-.f64 t x) |
z |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- (* t (/ y x)) (* y 1)) (* y (/ y x))) (*.f64 (neg.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 t x)) y)))))) |
x |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- (* t (/ y x)) (* y 1)) (* y (/ y x))) (*.f64 (neg.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 t x)) y))))) |
(*.f64 y z) |
y |
z |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- (* t (/ y x)) (* y 1)) (* y (/ y x))) (*.f64 (neg.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 t x)) y)))) |
#s(approx (/ (- (* t (/ y x)) (* y 1)) (* y (/ y x))) (*.f64 (neg.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 t x)) y))) |
(*.f64 (neg.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 t x)) y)) |
(neg.f64 x) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 t x)) y) |
(-.f64 #s(literal 1 binary64) (/.f64 t x)) |
#s(literal 1 binary64) |
(/.f64 t x) |
t |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (/.f64 t (/.f64 x y)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x)))))) |
x |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (/.f64 t (/.f64 x y)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x))))) |
(*.f64 y z) |
y |
z |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (/.f64 t (/.f64 x y)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x)))) |
(/.f64 (-.f64 (/.f64 t (/.f64 x y)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x))) |
(-.f64 (/.f64 t (/.f64 x y)) (*.f64 y #s(literal 1 binary64))) |
(/.f64 t (/.f64 x y)) |
t |
(/.f64 x y) |
(*.f64 y #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 y (/.f64 y x)) |
(/.f64 y x) |
| Outputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 z t) (neg.f64 z)) x x))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 (-.f64 t x) z x))) |
#s(approx (+ (* (- t x) z) x) (fma.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 z t) (neg.f64 z)) x x)) |
#s(approx (+ (* (- t x) z) x) (fma.f64 (-.f64 t x) z x)) |
(fma.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 z t) (neg.f64 z)) x x) |
(fma.f64 (-.f64 t x) z x) |
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 z t) (neg.f64 z)) |
(*.f64 (-.f64 (/.f64 t x) #s(literal 1 binary64)) z) |
(pow.f64 x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
(*.f64 z t) |
(*.f64 t z) |
z |
t |
(neg.f64 z) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) x))) |
#s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(-.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
x |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (/.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) z) (+.f64 x t)))) |
(+.f64 #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (-.f64 t x) z)) x) |
x |
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (/.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) z) (+.f64 x t))) |
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (-.f64 t x) z)) |
(/.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) z) (+.f64 x t)) |
(*.f64 (-.f64 t x) z) |
(*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) z) |
(*.f64 (*.f64 (+.f64 t x) z) (-.f64 t x)) |
(*.f64 (+.f64 x t) (-.f64 t x)) |
(*.f64 (-.f64 t x) (+.f64 t x)) |
(+.f64 x t) |
(+.f64 t x) |
t |
(-.f64 t x) |
z |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- (* t (/ y x)) (* y 1)) (* y (/ y x))) (*.f64 (neg.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 t x)) y)))))) |
(fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- (* t (/ y x)) (* y 1)) (* y (/ y x))) (/.f64 (-.f64 t x) y))) (*.f64 z y) x) |
x |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- (* t (/ y x)) (* y 1)) (* y (/ y x))) (*.f64 (neg.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 t x)) y))))) |
(*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- (* t (/ y x)) (* y 1)) (* y (/ y x))) (/.f64 (-.f64 t x) y))) (*.f64 z y)) |
(*.f64 y z) |
(*.f64 z y) |
y |
z |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- (* t (/ y x)) (* y 1)) (* y (/ y x))) (*.f64 (neg.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 t x)) y)))) |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- (* t (/ y x)) (* y 1)) (* y (/ y x))) (/.f64 (-.f64 t x) y))) |
#s(approx (/ (- (* t (/ y x)) (* y 1)) (* y (/ y x))) (*.f64 (neg.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 t x)) y))) |
#s(approx (/ (- (* t (/ y x)) (* y 1)) (* y (/ y x))) (/.f64 (-.f64 t x) y)) |
(*.f64 (neg.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 t x)) y)) |
(/.f64 (-.f64 t x) y) |
(neg.f64 x) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 t x)) y) |
(-.f64 #s(literal 1 binary64) (/.f64 t x)) |
#s(literal 1 binary64) |
(/.f64 t x) |
t |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (/.f64 t (/.f64 x y)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x)))))) |
(fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 z y) x) |
x |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (/.f64 t (/.f64 x y)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x))))) |
(*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 z y)) |
(*.f64 y z) |
(*.f64 z y) |
y |
z |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (/.f64 t (/.f64 x y)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x)))) |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) |
(/.f64 (-.f64 (/.f64 t (/.f64 x y)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x))) |
(/.f64 (-.f64 t x) y) |
(-.f64 (/.f64 t (/.f64 x y)) (*.f64 y #s(literal 1 binary64))) |
(-.f64 (*.f64 (/.f64 t x) y) y) |
(/.f64 t (/.f64 x y)) |
(*.f64 (/.f64 t x) y) |
t |
(/.f64 x y) |
(*.f64 y #s(literal 1 binary64)) |
y |
#s(literal 1 binary64) |
(*.f64 y (/.f64 y x)) |
(*.f64 (/.f64 y x) y) |
(/.f64 y x) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 5.1269027621443914 | (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (/.f64 t (/.f64 x y)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x))))) | |
| accuracy | 7.939248016507638 | (/.f64 t (/.f64 x y)) | |
| accuracy | 19.877030016370746 | (/.f64 (-.f64 (/.f64 t (/.f64 x y)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x))) | |
| accuracy | 40.583185543354844 | #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (/.f64 t (/.f64 x y)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x)))) | |
| accuracy | 1.7573891092020346 | (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 t x)) y) | |
| accuracy | 4.636646274533707 | (*.f64 (neg.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 t x)) y)) | |
| accuracy | 5.1269027621443914 | (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- (* t (/ y x)) (* y 1)) (* y (/ y x))) (*.f64 (neg.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 t x)) y))))) | |
| accuracy | 40.583185543354844 | #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- (* t (/ y x)) (* y 1)) (* y (/ y x))) (*.f64 (neg.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 t x)) y)))) | |
| accuracy | 0.00390625 | (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (/.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) z) (+.f64 x t)))) | |
| accuracy | 8.313209812781341 | (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) z) | |
| accuracy | 15.962584045000822 | (/.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) z) (+.f64 x t)) | |
| accuracy | 38.11182540996871 | #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (/.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) z) (+.f64 x t))) | |
| accuracy | 0.0 | (-.f64 #s(literal 1 binary64) z) | |
| accuracy | 0.00390625 | (*.f64 (-.f64 #s(literal 1 binary64) z) x) | |
| accuracy | 25.105203833779292 | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) x))) | |
| accuracy | 25.84997401778913 | #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) | |
| accuracy | 0.00390625 | (pow.f64 x #s(literal -1 binary64)) | |
| accuracy | 3.7991151851491156 | (fma.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 z t) (neg.f64 z)) x x) | |
| accuracy | 4.3021571960658855 | (fma.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 z t) (neg.f64 z)) | |
| accuracy | 25.105203833779292 | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 z t) (neg.f64 z)) x x))) |
| 95.0ms | 209× | 0 | valid |
| 30.0ms | 40× | 2 | valid |
| 4.0ms | 7× | 1 | valid |
Compiled 885 to 108 computations (87.8% saved)
ival-add: 31.0ms (30.6% of total)ival-div: 25.0ms (24.6% of total)ival-mult: 20.0ms (19.7% of total)ival-sub: 8.0ms (7.9% of total)adjust: 7.0ms (6.9% of total)ival-pow: 5.0ms (4.9% of total)ival-tanh: 4.0ms (3.9% of total)ival-neg: 2.0ms (2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 z t) (neg.f64 z)) |
(fma.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 z t) (neg.f64 z)) x x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 z t) (neg.f64 z)) x x))) |
#s(approx (+ (* (- t x) z) x) (fma.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 z t) (neg.f64 z)) x x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) x))) |
#s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(-.f64 #s(literal 1 binary64) z) |
(/.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) z) (+.f64 x t)) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (/.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) z) (+.f64 x t)))) |
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (/.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) z) (+.f64 x t))) |
(*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) z) |
(*.f64 (neg.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 t x)) y)) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- (* t (/ y x)) (* y 1)) (* y (/ y x))) (*.f64 (neg.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 t x)) y)))))) |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- (* t (/ y x)) (* y 1)) (* y (/ y x))) (*.f64 (neg.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 t x)) y))))) |
(*.f64 y z) |
(/.f64 (-.f64 (/.f64 t (/.f64 x y)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x))) |
(/.f64 t (/.f64 x y)) |
(*.f64 y #s(literal 1 binary64)) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (/.f64 t (/.f64 x y)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x)))))) |
(pow.f64 x #s(literal -1 binary64)) |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- (* t (/ y x)) (* y 1)) (* y (/ y x))) (*.f64 (neg.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 t x)) y)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 t x)) y) |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (/.f64 t (/.f64 x y)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x)))) |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (/.f64 t (/.f64 x y)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x))))) |
| Outputs |
|---|
(/ (* t z) x) |
(/ (+ (* -1 (* x z)) (* t z)) x) |
(* t z) |
(+ (* t z) (* 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))) (* 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 (- 1 z)) |
(+ (* -1 (* x z)) (* t z)) |
(+ (* -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 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 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)))))))))) |
(* (pow t 2) z) |
(+ (* x (* z (+ t (* -1 t)))) (* (pow t 2) z)) |
(+ (* x (+ (* -1 (* x z)) (* z (+ t (* -1 t))))) (* (pow t 2) z)) |
(/ t y) |
(+ (* -1 (/ x y)) (/ t y)) |
(/ (* t y) x) |
(/ 1 x) |
(- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))) |
(- (+ (* -1 (/ x y)) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))) |
(- (+ (* x (- (* 1/3 (/ (pow x 2) (pow y 3))) (/ 1 y))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))) |
(- (+ (* x (- (* (pow x 2) (+ (* -2/15 (/ (pow x 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))) |
(* -1 (/ t (* x y))) |
(/ (+ (* -1 (/ t y)) (/ x y)) x) |
(* -1 z) |
(- (/ (* t z) x) z) |
(* x (- (+ 1 (/ (* t z) x)) z)) |
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 (* -1 z))) |
(* x (+ 1 (+ (* -1 z) (/ (* t z) x)))) |
(* -1 (* x z)) |
(* x (+ (* -1 z) (/ (* t z) x))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* -1 (* (pow x 2) z)) |
(* (pow x 2) (+ (* -1 z) (/ (* z (+ t (* -1 t))) x))) |
(* (pow x 2) (+ (* -1 z) (+ (/ (* z (+ t (* -1 t))) x) (/ (* (pow t 2) z) (pow x 2))))) |
(* -1 (/ x y)) |
(* x (- (/ t (* x y)) (/ 1 y))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(/ 1 y) |
(+ (* -1 (/ t (* x y))) (/ 1 y)) |
(* -1 (* x (- z 1))) |
(* -1 (* x (- (+ z (* -1 (/ (* t z) x))) 1))) |
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
(* -1 (* x (+ z (* -1 (/ (* t z) x))))) |
(* (pow x 2) (+ (* -1 z) (* -1 (/ (* z (+ t (* -1 t))) x)))) |
(* (pow x 2) (+ (* -1 z) (* -1 (/ (+ (* -1 (/ (* (pow t 2) z) x)) (* z (+ t (* -1 t)))) x)))) |
(* -1 (* x (+ (* -1 (/ t (* x y))) (/ 1 y)))) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(* -1 (/ (* x (- 1 (/ t x))) y)) |
(* y z) |
(/ (* x (- (/ t x) 1)) y) |
y |
(/ (- 1 (/ t 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)))))) |
(* z (- t 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 (- 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)))) |
(+ (* 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))))) |
(/ (- 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 |
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(* t (+ (* -1 (/ z t)) (/ z x))) |
(* t (+ z (+ (* -1 (/ (* x z) t)) (/ x t)))) |
(* t (+ z (* -1 (/ (* x z) t)))) |
(* (pow t 2) (+ z (/ (* z (+ x (* -1 x))) t))) |
(* (pow t 2) (+ z (+ (* -1 (/ (* (pow x 2) z) (pow t 2))) (/ (* z (+ x (* -1 x))) t)))) |
(* t (+ (* -1 (/ x (* t y))) (/ 1 y))) |
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(* -1 (* t (+ (* -1 (/ z x)) (/ z t)))) |
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(* (pow t 2) (+ z (* -1 (/ (+ (* -1 (* z (+ x (* -1 x)))) (/ (* (pow x 2) z) t)) t)))) |
(* -1 (* t (- (/ x (* t y)) (/ 1 y)))) |
(* -1 (* t (- (/ 1 (* x y)) (/ 1 (* t y))))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 52.0ms | t | @ | -inf | ((+ (* (pow x -1) (* z t)) (neg z)) (+ (* (+ (* (pow x -1) (* z t)) (neg z)) x) x) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (* (- 1 z) x) (- 1 z) (/ (* (* (+ x t) (- t x)) z) (+ x t)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* (* (+ x t) (- t x)) z) (* (neg x) (/ (- 1 (/ t x)) y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (/ (- (/ t (/ x y)) (* y 1)) (* y (/ y x))) (/ t (/ x y)) (* y 1) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (pow x -1) (- (tanh (/ t y)) (tanh (/ x y))) (/ (- 1 (/ t x)) y) (- (tanh (/ t y)) (tanh (/ x y))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) |
| 47.0ms | y | @ | -inf | ((+ (* (pow x -1) (* z t)) (neg z)) (+ (* (+ (* (pow x -1) (* z t)) (neg z)) x) x) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (* (- 1 z) x) (- 1 z) (/ (* (* (+ x t) (- t x)) z) (+ x t)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* (* (+ x t) (- t x)) z) (* (neg x) (/ (- 1 (/ t x)) y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (/ (- (/ t (/ x y)) (* y 1)) (* y (/ y x))) (/ t (/ x y)) (* y 1) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (pow x -1) (- (tanh (/ t y)) (tanh (/ x y))) (/ (- 1 (/ t x)) y) (- (tanh (/ t y)) (tanh (/ x y))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) |
| 5.0ms | x | @ | -inf | ((+ (* (pow x -1) (* z t)) (neg z)) (+ (* (+ (* (pow x -1) (* z t)) (neg z)) x) x) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (* (- 1 z) x) (- 1 z) (/ (* (* (+ x t) (- t x)) z) (+ x t)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* (* (+ x t) (- t x)) z) (* (neg x) (/ (- 1 (/ t x)) y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (/ (- (/ t (/ x y)) (* y 1)) (* y (/ y x))) (/ t (/ x y)) (* y 1) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (pow x -1) (- (tanh (/ t y)) (tanh (/ x y))) (/ (- 1 (/ t x)) y) (- (tanh (/ t y)) (tanh (/ x y))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) |
| 5.0ms | z | @ | -inf | ((+ (* (pow x -1) (* z t)) (neg z)) (+ (* (+ (* (pow x -1) (* z t)) (neg z)) x) x) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (* (- 1 z) x) (- 1 z) (/ (* (* (+ x t) (- t x)) z) (+ x t)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* (* (+ x t) (- t x)) z) (* (neg x) (/ (- 1 (/ t x)) y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (/ (- (/ t (/ x y)) (* y 1)) (* y (/ y x))) (/ t (/ x y)) (* y 1) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (pow x -1) (- (tanh (/ t y)) (tanh (/ x y))) (/ (- 1 (/ t x)) y) (- (tanh (/ t y)) (tanh (/ x y))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) |
| 5.0ms | x | @ | inf | ((+ (* (pow x -1) (* z t)) (neg z)) (+ (* (+ (* (pow x -1) (* z t)) (neg z)) x) x) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (* (- 1 z) x) (- 1 z) (/ (* (* (+ x t) (- t x)) z) (+ x t)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* (* (+ x t) (- t x)) z) (* (neg x) (/ (- 1 (/ t x)) y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (/ (- (/ t (/ x y)) (* y 1)) (* y (/ y x))) (/ t (/ x y)) (* y 1) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (pow x -1) (- (tanh (/ t y)) (tanh (/ x y))) (/ (- 1 (/ t x)) y) (- (tanh (/ t y)) (tanh (/ x y))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 560 | 4393 |
| 1 | 1905 | 3289 |
| 2 | 7453 | 3287 |
| 0 | 8604 | 3138 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* t z) x) |
(/ (+ (* -1 (* x z)) (* t z)) x) |
(* t z) |
(+ (* t z) (* 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))) (* 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 (- 1 z)) |
(+ (* -1 (* x z)) (* t z)) |
(+ (* -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 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 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)))))))))) |
(* (pow t 2) z) |
(+ (* x (* z (+ t (* -1 t)))) (* (pow t 2) z)) |
(+ (* x (+ (* -1 (* x z)) (* z (+ t (* -1 t))))) (* (pow t 2) z)) |
(/ t y) |
(+ (* -1 (/ x y)) (/ t y)) |
(/ (* t y) x) |
(/ 1 x) |
(- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))) |
(- (+ (* -1 (/ x y)) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))) |
(- (+ (* x (- (* 1/3 (/ (pow x 2) (pow y 3))) (/ 1 y))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))) |
(- (+ (* x (- (* (pow x 2) (+ (* -2/15 (/ (pow x 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))) |
(* -1 (/ t (* x y))) |
(/ (+ (* -1 (/ t y)) (/ x y)) x) |
(* -1 z) |
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(* z (- (/ t x) 1)) |
(+ x (* x (* z (- (/ t x) 1)))) |
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1 |
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(* x (* z (- (/ t x) 1))) |
(* z (+ (* x (- (/ t x) 1)) (/ x z))) |
(* z (+ (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (/ x z))) |
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(+ (* -1 (* (pow x 2) z)) (* t (* z (+ x (* -1 x))))) |
(+ (* -1 (* (pow x 2) z)) (* t (+ (* t z) (* z (+ x (* -1 x)))))) |
(- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y)) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
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(- (+ (* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(* t (+ (* -1 (/ z t)) (/ z x))) |
(* t (+ z (+ (* -1 (/ (* x z) t)) (/ x t)))) |
(* t (+ z (* -1 (/ (* x z) t)))) |
(* (pow t 2) (+ z (/ (* z (+ x (* -1 x))) t))) |
(* (pow t 2) (+ z (+ (* -1 (/ (* (pow x 2) z) (pow t 2))) (/ (* z (+ x (* -1 x))) t)))) |
(* t (+ (* -1 (/ x (* t y))) (/ 1 y))) |
(* t (- (/ 1 (* t y)) (/ 1 (* x y)))) |
(* -1 (* t (+ (* -1 (/ z x)) (/ z t)))) |
(* -1 (* t (+ (* -1 z) (* -1 (/ (+ x (* -1 (* x z))) t))))) |
(* -1 (* t (+ (* -1 z) (/ (* x z) t)))) |
(* (pow t 2) (+ z (* -1 (/ (+ (* -1 (* z (+ x (* -1 x)))) (/ (* (pow x 2) z) t)) t)))) |
(* -1 (* t (- (/ x (* t y)) (/ 1 y)))) |
(* -1 (* t (- (/ 1 (* x y)) (/ 1 (* t y))))) |
| Outputs |
|---|
(/ (* t z) x) |
(/.f64 (*.f64 t z) x) |
(/ (+ (* -1 (* x z)) (* t z)) x) |
(/.f64 (*.f64 (-.f64 t x) z) x) |
(* t z) |
(*.f64 t z) |
(+ (* t z) (* x (+ 1 (* -1 z)))) |
(fma.f64 (-.f64 t x) z x) |
(* 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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(* -1 (/ (- (+ (* -1 t) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (+ (* 1/2 (* x (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) (* 1/2 (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (+ (* 1/12 (pow t 4)) (* t (+ (* -1/6 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))))))))) (+ (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2)))) (+ (* 1/2 (* t (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))) (* 1/2 (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (+ (* 1/12 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))))))))) y)) (+ (* -1/2 (pow x 3)) (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))))) (+ (* -1/2 (pow t 3)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))) y)) (* 1/2 (+ (* -1 (pow t 2)) (pow t 2)))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) (* -1 x)) y)) |
(/.f64 (fma.f64 (/.f64 (/.f64 (-.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 t #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64) (/.f64 (-.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/12 binary64) (pow.f64 t #s(literal 4 binary64)) (fma.f64 (*.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal -1/2 binary64)) #s(literal -1/2 binary64) (*.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal -1/6 binary64)))))) #s(literal 1/2 binary64) #s(literal 0 binary64)) (*.f64 (fma.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2 binary64)) #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/6 binary64)))))) #s(literal 1/2 binary64))) (neg.f64 y)))) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 t #s(literal 3 binary64)) #s(literal -1/2 binary64)))) y) y) #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) t x)) (neg.f64 y)) |
(* z (- (/ t x) 1)) |
(-.f64 (/.f64 (*.f64 t z) x) z) |
(+ x (* x (* z (- (/ t x) 1)))) |
(fma.f64 (*.f64 (-.f64 (/.f64 t x) #s(literal 1 binary64)) x) z x) |
(+ x (* -1 (* x z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 z)) |
(-.f64 #s(literal 1 binary64) z) |
(* z (* (+ t x) (- t x))) |
(*.f64 (*.f64 (+.f64 t x) z) (-.f64 t x)) |
(* x (* z (- (/ t x) 1))) |
(*.f64 (*.f64 (-.f64 (/.f64 t x) #s(literal 1 binary64)) x) z) |
(* z (+ (* x (- (/ t x) 1)) (/ x z))) |
(*.f64 (fma.f64 (-.f64 (/.f64 t x) #s(literal 1 binary64)) x (/.f64 x z)) z) |
(* z (+ (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (/ x z))) |
(*.f64 (fma.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t y)) #s(literal 1 binary64)))) y (/.f64 x z)) z) |
(* z (- (+ t (/ x z)) x)) |
(*.f64 (-.f64 (+.f64 (/.f64 x z) t) x) z) |
(* z (+ (* -1 x) (/ x z))) |
(*.f64 (-.f64 (/.f64 x z) x) z) |
(* z (- (/ 1 z) 1)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) z) |
(* -1 (* z (+ 1 (* -1 (/ t x))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 t x)) (neg.f64 z)) |
(* -1 (* x (* z (+ 1 (* -1 (/ t x)))))) |
(*.f64 (neg.f64 x) (-.f64 z (/.f64 (*.f64 t z) x))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (+ 1 (* -1 (/ t x))))))) |
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 t x)) x (/.f64 (neg.f64 x) z)) (neg.f64 z)) |
(* -1 (* z (+ (* -1 (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (* -1 (/ x z))))) |
(*.f64 (neg.f64 (fma.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t y)) #s(literal 1 binary64)))) y (/.f64 x z))) (neg.f64 z)) |
(* -1 (* z (+ (* -1 (- t x)) (* -1 (/ x z))))) |
(*.f64 (neg.f64 (-.f64 (+.f64 (/.f64 x z) t) x)) (neg.f64 z)) |
(* -1 (* z (+ x (* -1 (/ x z))))) |
(*.f64 (-.f64 x (/.f64 x z)) (neg.f64 z)) |
(* -1 (* z (- 1 (/ 1 z)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) (neg.f64 z)) |
(+ x (+ (* -1 (* x z)) (* t z))) |
(fma.f64 (-.f64 t x) z x) |
(+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (*.f64 y z) x) |
(+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (*.f64 y z) (fma.f64 t z x)) |
(+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (*.f64 y z) (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 t t) z) y) (/.f64 #s(literal -1/3 binary64) y) z) t x)) |
(+ x (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (*.f64 y z) (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) y) (/.f64 z y) (*.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 t t)) (/.f64 z (pow.f64 y #s(literal 4 binary64))))) (*.f64 t t) z) t x)) |
(* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (*.f64 y z)) |
(+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (*.f64 y z) (*.f64 t z)) |
(+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (*.f64 y z) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 t t) z) y) (/.f64 #s(literal -1/3 binary64) y) z) t)) |
(+ (* 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 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (*.f64 y z) (fma.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) y) (/.f64 z y) (*.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 t t)) (/.f64 z (pow.f64 y #s(literal 4 binary64))))) (pow.f64 t #s(literal 3 binary64)) (*.f64 t z))) |
(+ (* -1 (* (pow x 2) z)) (* t (* z (+ x (* -1 x))))) |
(*.f64 (*.f64 z (+.f64 #s(literal 0 binary64) (neg.f64 x))) x) |
(+ (* -1 (* (pow x 2) z)) (* t (+ (* t z) (* z (+ x (* -1 x)))))) |
(fma.f64 (*.f64 z (+.f64 #s(literal 0 binary64) t)) t (*.f64 (neg.f64 x) (*.f64 z x))) |
(- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y)) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 t y)) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) |
(- (+ (* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(-.f64 (fma.f64 (fma.f64 (*.f64 t (/.f64 t (pow.f64 y #s(literal 3 binary64)))) #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) y)) t (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) |
(- (+ (* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(-.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 t (/.f64 t (pow.f64 y #s(literal 5 binary64)))) #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 t t) (/.f64 #s(literal 1 binary64) y)) t (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) |
(* t (+ (* -1 (/ z t)) (/ z x))) |
(*.f64 (-.f64 (/.f64 z x) (/.f64 z t)) t) |
(* t (+ z (+ (* -1 (/ (* x z) t)) (/ x t)))) |
(*.f64 (+.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) t) z) t) |
(* t (+ z (* -1 (/ (* x z) t)))) |
(*.f64 (fma.f64 (neg.f64 x) (/.f64 z t) z) t) |
(* (pow t 2) (+ z (/ (* z (+ x (* -1 x))) t))) |
(*.f64 (*.f64 (fma.f64 #s(literal 0 binary64) (/.f64 z t) z) t) t) |
(* (pow t 2) (+ z (+ (* -1 (/ (* (pow x 2) z) (pow t 2))) (/ (* z (+ x (* -1 x))) t)))) |
(*.f64 (fma.f64 (/.f64 x (neg.f64 t)) (*.f64 (/.f64 z t) x) (fma.f64 #s(literal 0 binary64) (/.f64 z t) z)) (*.f64 t t)) |
(* t (+ (* -1 (/ x (* t y))) (/ 1 y))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 x t) y)) t) |
(* t (- (/ 1 (* t y)) (/ 1 (* x y)))) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) t) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) t) |
(* -1 (* t (+ (* -1 (/ z x)) (/ z t)))) |
(*.f64 (-.f64 (/.f64 z t) (/.f64 z x)) (neg.f64 t)) |
(* -1 (* t (+ (* -1 z) (* -1 (/ (+ x (* -1 (* x z))) t))))) |
(*.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) t) z)) (neg.f64 t)) |
(* -1 (* t (+ (* -1 z) (/ (* x z) t)))) |
(*.f64 (fma.f64 (/.f64 z t) x (neg.f64 z)) (neg.f64 t)) |
(* (pow t 2) (+ z (* -1 (/ (+ (* -1 (* z (+ x (* -1 x)))) (/ (* (pow x 2) z) t)) t)))) |
(*.f64 (*.f64 (-.f64 z (/.f64 (fma.f64 #s(literal 0 binary64) z (*.f64 x (*.f64 (/.f64 z t) x))) t)) t) t) |
(* -1 (* t (- (/ x (* t y)) (/ 1 y)))) |
(*.f64 (-.f64 (/.f64 (/.f64 x t) y) (/.f64 #s(literal 1 binary64) y)) (neg.f64 t)) |
(* -1 (* t (- (/ 1 (* x y)) (/ 1 (* t y))))) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 (/.f64 #s(literal 1 binary64) y) t)) (neg.f64 t)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 454 |
| 0 | 94 | 438 |
| 1 | 409 | 406 |
| 2 | 3236 | 392 |
| 0 | 10348 | 384 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 z t) (neg.f64 z)) |
(fma.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 z t) (neg.f64 z)) x x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 z t) (neg.f64 z)) x x))) |
#s(approx (+ (* (- t x) z) x) (fma.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 z t) (neg.f64 z)) x x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) x))) |
#s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(-.f64 #s(literal 1 binary64) z) |
(/.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) z) (+.f64 x t)) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (/.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) z) (+.f64 x t)))) |
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (/.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) z) (+.f64 x t))) |
(*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) z) |
(*.f64 (neg.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 t x)) y)) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- (* t (/ y x)) (* y 1)) (* y (/ y x))) (*.f64 (neg.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 t x)) y)))))) |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- (* t (/ y x)) (* y 1)) (* y (/ y x))) (*.f64 (neg.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 t x)) y))))) |
(*.f64 y z) |
(/.f64 (-.f64 (/.f64 t (/.f64 x y)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x))) |
(/.f64 t (/.f64 x y)) |
(*.f64 y #s(literal 1 binary64)) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (/.f64 t (/.f64 x y)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x)))))) |
(pow.f64 x #s(literal -1 binary64)) |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- (* t (/ y x)) (* y 1)) (* y (/ y x))) (*.f64 (neg.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 t x)) y)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 t x)) y) |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (/.f64 t (/.f64 x y)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x)))) |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (/.f64 t (/.f64 x y)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x))))) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 t x) z) #s(literal 2 binary64)) (*.f64 z z)) (pow.f64 (fma.f64 (/.f64 t x) z z) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 t x) z) #s(literal 3 binary64))) (pow.f64 (fma.f64 (neg.f64 z) (-.f64 (neg.f64 z) (*.f64 (/.f64 t x) z)) (pow.f64 (*.f64 (/.f64 t x) z) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (/.f64 t x) z z) (-.f64 (pow.f64 (*.f64 (/.f64 t x) z) #s(literal 2 binary64)) (*.f64 z z))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (neg.f64 z) (-.f64 (neg.f64 z) (*.f64 (/.f64 t x) z)) (pow.f64 (*.f64 (/.f64 t x) z) #s(literal 2 binary64))) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 t x) z) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 t x) z) #s(literal 2 binary64)) (fma.f64 (/.f64 t x) z z)) (*.f64 (fma.f64 (/.f64 t x) z z) (*.f64 z z))) (*.f64 (fma.f64 (/.f64 t x) z z) (fma.f64 (/.f64 t x) z z))) |
(/.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 (/.f64 t x) z) #s(literal 2 binary64))) (-.f64 (neg.f64 z) (*.f64 (/.f64 t x) z))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 t x) z) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 t x) z) #s(literal 2 binary64)) (fma.f64 z z (*.f64 (*.f64 (/.f64 t x) z) z)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 t x) z) #s(literal 2 binary64)) (*.f64 z z))) (neg.f64 (fma.f64 (/.f64 t x) z z))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 t x) z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (neg.f64 z) (-.f64 (neg.f64 z) (*.f64 (/.f64 t x) z)) (pow.f64 (*.f64 (/.f64 t x) z) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 t x) z) #s(literal 2 binary64)) (*.f64 z z)) (fma.f64 (/.f64 t x) z z)) |
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 t x) z) #s(literal 3 binary64))) (fma.f64 z z (-.f64 (pow.f64 (*.f64 (/.f64 t x) z) #s(literal 2 binary64)) (*.f64 (/.f64 z x) (*.f64 t (neg.f64 z)))))) |
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 t x) z) #s(literal 3 binary64))) (fma.f64 (neg.f64 z) (-.f64 (neg.f64 z) (*.f64 (/.f64 t x) z)) (pow.f64 (*.f64 (/.f64 t x) z) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 t x) z z) (-.f64 (pow.f64 (*.f64 (/.f64 t x) z) #s(literal 2 binary64)) (*.f64 z z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 z) (-.f64 (neg.f64 z) (*.f64 (/.f64 t x) z)) (pow.f64 (*.f64 (/.f64 t x) z) #s(literal 2 binary64))) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 t x) z) #s(literal 3 binary64))))) |
(fma.f64 (*.f64 (*.f64 t z) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 z)) |
(fma.f64 (/.f64 z x) t (neg.f64 z)) |
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 t z)) (neg.f64 z)) |
(fma.f64 (/.f64 t x) z (neg.f64 z)) |
(fma.f64 (*.f64 t z) (pow.f64 x #s(literal -1 binary64)) (neg.f64 z)) |
(fma.f64 t (/.f64 z x) (neg.f64 z)) |
(fma.f64 z (/.f64 t x) (neg.f64 z)) |
(fma.f64 z #s(literal -1 binary64) (*.f64 (/.f64 t x) z)) |
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 t z) (neg.f64 z)) |
(fma.f64 #s(literal -1 binary64) z (*.f64 (/.f64 t x) z)) |
(-.f64 (fma.f64 (/.f64 z x) t #s(literal 0 binary64)) z) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 t x) z) #s(literal 2 binary64)) (fma.f64 (/.f64 t x) z z)) (/.f64 (*.f64 z z) (fma.f64 (/.f64 t x) z z))) |
(-.f64 #s(literal 0 binary64) (-.f64 z (*.f64 (/.f64 t x) z))) |
(-.f64 (*.f64 (/.f64 t x) z) z) |
(+.f64 (*.f64 (/.f64 t x) z) (neg.f64 z)) |
(+.f64 (neg.f64 z) (*.f64 (/.f64 t x) z)) |
(*.f64 (fma.f64 (/.f64 t x) z (-.f64 #s(literal 1 binary64) z)) x) |
(*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (/.f64 z x) t (neg.f64 z)) x) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 (fma.f64 (fma.f64 (/.f64 z x) t (neg.f64 z)) x (neg.f64 x)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (/.f64 z x) t (neg.f64 z)) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 x (*.f64 (fma.f64 (/.f64 z x) t (neg.f64 z)) x)) (pow.f64 (*.f64 (fma.f64 (/.f64 z x) t (neg.f64 z)) x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 x (fma.f64 (/.f64 t x) z (-.f64 #s(literal 1 binary64) z))) |
(pow.f64 (/.f64 (fma.f64 (fma.f64 (/.f64 z x) t (neg.f64 z)) x (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (fma.f64 (/.f64 z x) t (neg.f64 z)) x) #s(literal 2 binary64)) (*.f64 x x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 (fma.f64 (/.f64 z x) t (neg.f64 z)) x)) (pow.f64 (*.f64 (fma.f64 (/.f64 z x) t (neg.f64 z)) x) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 (/.f64 z x) t (neg.f64 z)) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 (/.f64 z x) t (neg.f64 z)) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 (/.f64 z x) t (neg.f64 z)) x (neg.f64 x))) (*.f64 (fma.f64 (fma.f64 (/.f64 z x) t (neg.f64 z)) x (neg.f64 x)) (*.f64 x x))) (*.f64 (fma.f64 (fma.f64 (/.f64 z x) t (neg.f64 z)) x (neg.f64 x)) (fma.f64 (fma.f64 (/.f64 z x) t (neg.f64 z)) x (neg.f64 x)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (fma.f64 (/.f64 z x) t (neg.f64 z)) x) #s(literal 2 binary64))) (-.f64 x (*.f64 (fma.f64 (/.f64 z x) t (neg.f64 z)) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (/.f64 z x) t (neg.f64 z)) x) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 (fma.f64 (/.f64 z x) t (neg.f64 z)) x (neg.f64 x)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (/.f64 z x) t (neg.f64 z)) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (fma.f64 (/.f64 z x) t (neg.f64 z)) x)) (pow.f64 (*.f64 (fma.f64 (/.f64 z x) t (neg.f64 z)) x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (/.f64 z x) t (neg.f64 z)) x) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 (fma.f64 (/.f64 z x) t (neg.f64 z)) x (neg.f64 x))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (/.f64 z x) t (neg.f64 z)) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (fma.f64 (/.f64 z x) t (neg.f64 z)) x) #s(literal 2 binary64)) (*.f64 (fma.f64 (/.f64 z x) t (neg.f64 z)) (*.f64 x x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (/.f64 z x) t (neg.f64 z)) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 (fma.f64 (/.f64 z x) t (neg.f64 z)) x)) (pow.f64 (*.f64 (fma.f64 (/.f64 z x) t (neg.f64 z)) x) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (/.f64 z x) t (neg.f64 z)) x (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (fma.f64 (/.f64 z x) t (neg.f64 z)) x) #s(literal 2 binary64)) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 (fma.f64 (/.f64 z x) t (neg.f64 z)) x)) (pow.f64 (*.f64 (fma.f64 (/.f64 z x) t (neg.f64 z)) x) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 (/.f64 z x) t (neg.f64 z)) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(fma.f64 (fma.f64 (/.f64 z x) t (neg.f64 z)) x x) |
(fma.f64 x (fma.f64 (/.f64 z x) t (neg.f64 z)) x) |
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (/.f64 z x) t (neg.f64 z)) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 (/.f64 z x) t (neg.f64 z)) x (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (fma.f64 (/.f64 z x) t (neg.f64 z)) x (neg.f64 x)))) |
(+.f64 (*.f64 (fma.f64 (/.f64 z x) t (neg.f64 z)) x) x) |
(+.f64 x (*.f64 (fma.f64 (/.f64 z x) t (neg.f64 z)) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (fma.f64 (/.f64 t x) z (-.f64 #s(literal 1 binary64) z)) x))) |
#s(approx (+ (* (- t x) z) x) (*.f64 (fma.f64 (/.f64 t x) z (-.f64 #s(literal 1 binary64) z)) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) x))) |
#s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(*.f64 x (-.f64 #s(literal 1 binary64) z)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) x) (+.f64 #s(literal 1 binary64) z)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) x) (+.f64 (fma.f64 z z z) #s(literal 1 binary64))) |
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z z))) (+.f64 #s(literal 1 binary64) z)) |
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (+.f64 (fma.f64 z z z) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (neg.f64 z) x)) |
(fma.f64 x #s(literal 1 binary64) (*.f64 x (neg.f64 z))) |
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 z) x)) |
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x (neg.f64 z))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) (*.f64 z z))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z)) (*.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 z z))) (*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) z))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (fma.f64 z z z) #s(literal 1 binary64))) (*.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64)) (+.f64 (fma.f64 z z z) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z))) (neg.f64 (+.f64 #s(literal 1 binary64) z))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (-.f64 #s(literal 1 binary64) (neg.f64 z))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (+.f64 #s(literal 1 binary64) z)) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 z z) (*.f64 #s(literal 1 binary64) (neg.f64 z))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 (fma.f64 z z z) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) (*.f64 z z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))))) |
(fma.f64 z #s(literal -1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) z #s(literal 1 binary64)) |
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (/.f64 (*.f64 z z) (+.f64 #s(literal 1 binary64) z))) |
(-.f64 (pow.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (fma.f64 z z z) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) z) |
(+.f64 #s(literal 1 binary64) (neg.f64 z)) |
(+.f64 (neg.f64 z) #s(literal 1 binary64)) |
(*.f64 (/.f64 (*.f64 (*.f64 (+.f64 t x) z) (-.f64 t x)) (*.f64 (+.f64 t x) (-.f64 x t))) (-.f64 x t)) |
(*.f64 (/.f64 (*.f64 (*.f64 (+.f64 t x) z) (-.f64 t x)) (+.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 t (-.f64 t x) (*.f64 x x))) |
(*.f64 (/.f64 z (+.f64 t x)) (*.f64 (-.f64 t x) (+.f64 t x))) |
(*.f64 (*.f64 (-.f64 t x) (+.f64 t x)) (/.f64 z (+.f64 t x))) |
(*.f64 (pow.f64 (+.f64 t x) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (*.f64 (+.f64 t x) z) (-.f64 t x)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (+.f64 t x) #s(literal -1 binary64)) (*.f64 (*.f64 (+.f64 t x) z) (-.f64 t x))) |
(*.f64 (*.f64 (neg.f64 (*.f64 (-.f64 t x) (+.f64 t x))) z) (pow.f64 (neg.f64 (+.f64 t x)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 (+.f64 t x) z) (-.f64 t x)) (pow.f64 (+.f64 t x) #s(literal -1 binary64))) |
(*.f64 (-.f64 t x) (*.f64 (+.f64 t x) (/.f64 z (+.f64 t x)))) |
(*.f64 (-.f64 t x) z) |
(*.f64 (+.f64 t x) (/.f64 (*.f64 (-.f64 t x) z) (+.f64 t x))) |
(*.f64 (+.f64 t x) (*.f64 (*.f64 (-.f64 t x) z) (pow.f64 (+.f64 t x) #s(literal -1 binary64)))) |
(*.f64 (+.f64 t x) (*.f64 (-.f64 t x) (/.f64 z (+.f64 t x)))) |
(*.f64 #s(literal 1 binary64) (*.f64 (-.f64 t x) z)) |
(*.f64 z (-.f64 t x)) |
(pow.f64 (/.f64 (pow.f64 (*.f64 (-.f64 t x) z) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (*.f64 (-.f64 t x) z) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) z) (fma.f64 t t (*.f64 x (+.f64 t x)))) |
(/.f64 (*.f64 (*.f64 (*.f64 (+.f64 t x) z) (-.f64 t x)) #s(literal 1 binary64)) (+.f64 t x)) |
(/.f64 (*.f64 z (-.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 t t (*.f64 x (+.f64 t x)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (*.f64 (-.f64 t x) (+.f64 t x))) z)) (neg.f64 (neg.f64 (+.f64 t x)))) |
(/.f64 (*.f64 (neg.f64 (*.f64 (-.f64 t x) (+.f64 t x))) z) (neg.f64 (+.f64 t x))) |
(/.f64 (*.f64 (*.f64 (+.f64 t x) z) (-.f64 t x)) (+.f64 t x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 (-.f64 t x) z) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 t x) z) #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (*.f64 (-.f64 t x) z) #s(literal -1 binary64)))) |
(neg.f64 (/.f64 (*.f64 (neg.f64 (*.f64 (-.f64 t x) (+.f64 t x))) z) (+.f64 t x))) |
(neg.f64 (/.f64 (*.f64 (*.f64 (+.f64 t x) z) (-.f64 t x)) (neg.f64 (+.f64 t x)))) |
(fma.f64 t z (*.f64 (neg.f64 x) z)) |
(fma.f64 t z (*.f64 z (neg.f64 x))) |
(fma.f64 z t (*.f64 (neg.f64 x) z)) |
(fma.f64 z t (*.f64 z (neg.f64 x))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (-.f64 t x) z) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (*.f64 t z) (*.f64 (neg.f64 x) z)) |
(+.f64 (*.f64 t z) (*.f64 z (neg.f64 x))) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (-.f64 t x) z)) #s(literal 2 binary64))) (pow.f64 (-.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (-.f64 t x) z))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (-.f64 t x) z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (-.f64 t x) z)) (-.f64 #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (-.f64 t x) z)) x) (*.f64 x x)) #s(literal -1 binary64))) |
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(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 (/.f64 t x) y))) (*.f64 (/.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 y (neg.f64 x))) (*.f64 (/.f64 y #s(literal 1 binary64)) (neg.f64 t))) (*.f64 (/.f64 y #s(literal 1 binary64)) (*.f64 y (neg.f64 x)))) |
(/.f64 (-.f64 y (*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 t x))) (*.f64 (/.f64 y #s(literal 1 binary64)) y)) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 y (/.f64 x t))) (*.f64 (/.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 y #s(literal 1 binary64)) (*.f64 y (/.f64 x t)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 y (/.f64 t x))) (*.f64 (/.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 y (/.f64 t x)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 y x)) (*.f64 (/.f64 y #s(literal 1 binary64)) t)) (*.f64 (/.f64 y #s(literal 1 binary64)) (*.f64 y x))) |
(/.f64 (-.f64 y (*.f64 y (/.f64 (/.f64 t x) #s(literal 1 binary64)))) (*.f64 y y)) |
(/.f64 (-.f64 (neg.f64 y) (*.f64 y (/.f64 (neg.f64 t) x))) (*.f64 y (neg.f64 y))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 (/.f64 t x) y))) y) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 y (neg.f64 x))) (*.f64 y (neg.f64 t))) (*.f64 y (*.f64 y (neg.f64 x)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 y (/.f64 x t))) y) (*.f64 y (*.f64 y (/.f64 x t)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 y (/.f64 t x))) y) (*.f64 y (/.f64 y (/.f64 t x)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 y x)) (*.f64 y t)) (*.f64 y (*.f64 y x))) |
(/.f64 (-.f64 (neg.f64 y) (*.f64 (neg.f64 y) (/.f64 (/.f64 t x) #s(literal 1 binary64)))) (*.f64 (neg.f64 y) y)) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (neg.f64 y)) (*.f64 (neg.f64 y) (/.f64 (neg.f64 t) x))) (*.f64 y y)) |
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) (/.f64 (/.f64 t x) y))) (neg.f64 y)) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 y (neg.f64 x))) (*.f64 (neg.f64 y) (neg.f64 t))) (*.f64 (neg.f64 y) (*.f64 y (neg.f64 x)))) |
(/.f64 (-.f64 (neg.f64 y) (*.f64 (neg.f64 y) (/.f64 t x))) (*.f64 (neg.f64 y) y)) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 y (/.f64 x t))) (neg.f64 y)) (*.f64 (neg.f64 y) (*.f64 y (/.f64 x t)))) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (/.f64 t x))) (neg.f64 y)) (*.f64 (neg.f64 y) (/.f64 y (/.f64 t x)))) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 y x)) (*.f64 (neg.f64 y) t)) (*.f64 (neg.f64 y) (*.f64 y x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 t x) #s(literal 1 binary64))) y) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (neg.f64 t) x)) (neg.f64 y)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 t x) #s(literal 2 binary64))) (pow.f64 y #s(literal -1 binary64))) (+.f64 (/.f64 t x) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 t x) #s(literal 3 binary64))) (pow.f64 y #s(literal -1 binary64))) (fma.f64 (/.f64 t x) (+.f64 (/.f64 t x) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 t x)) #s(literal 1 binary64)) y) |
(/.f64 (-.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 (/.f64 (/.f64 t x) y) #s(literal 2 binary64))) (+.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (/.f64 t x) y))) |
(/.f64 (-.f64 (pow.f64 y #s(literal -3 binary64)) (pow.f64 (/.f64 (/.f64 t x) y) #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (/.f64 t x) y) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (/.f64 t x) y))))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 t x)) #s(literal 1 binary64)) y) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 t x))) (neg.f64 (neg.f64 y))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 t x) #s(literal 2 binary64))) #s(literal 1 binary64)) (fma.f64 (/.f64 y x) t y)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 t x) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (/.f64 t x) (+.f64 (/.f64 t x) #s(literal 1 binary64)) #s(literal 1 binary64)) y)) |
(/.f64 (-.f64 y (*.f64 (/.f64 t x) y)) (*.f64 y y)) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 t x) #s(literal 2 binary64))) (fma.f64 (/.f64 y x) t y)) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 t x) #s(literal 3 binary64))) (*.f64 y (fma.f64 (/.f64 t x) (+.f64 (/.f64 t x) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 t x)) (neg.f64 y)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 t x)) y) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 t x)) y) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 t x))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 t x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 t x))))) |
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 t x)) y)) |
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 t x)) (neg.f64 y))) |
(fma.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64) (neg.f64 (/.f64 (/.f64 t x) y))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64)) (neg.f64 (/.f64 (/.f64 t x) y))) |
(-.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (/.f64 t x) y)) |
(exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 t x)))) #s(literal -1 binary64))) |
(+.f64 (pow.f64 y #s(literal -1 binary64)) (neg.f64 (/.f64 (/.f64 t x) y))) |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (-.f64 (/.f64 t y) (/.f64 y (*.f64 (/.f64 y x) y)))) |
(*.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (-.f64 (/.f64 t y) (/.f64 y (*.f64 (/.f64 y x) y)))) y) z) |
(*.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (-.f64 (/.f64 t y) (/.f64 y (*.f64 (/.f64 y x) y)))) z) y) |
(*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (-.f64 (/.f64 t y) (/.f64 y (*.f64 (/.f64 y x) y)))) (*.f64 y z)) |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (-.f64 (/.f64 t y) (/.f64 y (*.f64 (/.f64 y x) y))))) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (-.f64 (/.f64 t y) (/.f64 y (*.f64 (/.f64 y x) y)))) (*.f64 y z))) |
(*.f64 y (*.f64 #s(literal 1 binary64) (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (-.f64 (/.f64 t y) (/.f64 y (*.f64 (/.f64 y x) y)))) z))) |
(*.f64 y (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (-.f64 (/.f64 t y) (/.f64 y (*.f64 (/.f64 y x) y)))) z)) |
(*.f64 z (*.f64 y #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (-.f64 (/.f64 t y) (/.f64 y (*.f64 (/.f64 y x) y)))))) |
Compiled 26 754 to 3 157 computations (88.2% saved)
30 alts after pruning (25 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 564 | 16 | 580 |
| Fresh | 6 | 9 | 15 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 4 | 4 |
| Total | 574 | 30 | 604 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 96.1% | (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) |
| ✓ | 64.2% | (fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) |
| 47.0% | (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- (* t (/ y x)) (* y 1)) (* y (/ y x))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 t x)) y) (neg.f64 x)))) y) z x) | |
| 26.6% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (/.f64 t (/.f64 x y)) y) (*.f64 y (/.f64 y x)))))) | |
| 15.8% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y t) y) (*.f64 (neg.f64 y) y)) (*.f64 y (*.f64 (neg.f64 y) x))) (*.f64 y (*.f64 (neg.f64 y) y)))))) | |
| 25.8% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 (/.f64 y x) t) y) (*.f64 (/.f64 y x) y))))) | |
| 22.0% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 (/.f64 t x) y) (*.f64 (*.f64 (*.f64 (/.f64 y x) y) (/.f64 x y)) (/.f64 y y))) (*.f64 (*.f64 (*.f64 (/.f64 y x) y) (/.f64 x y)) (/.f64 y x)))))) | |
| 15.7% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 y y) (*.f64 (/.f64 (*.f64 y y) (*.f64 y t)) (*.f64 x y))) (*.f64 (/.f64 (*.f64 y y) (*.f64 y t)) (*.f64 y y)))))) | |
| 27.3% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y))))) | |
| 25.3% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- (* t y) (* y x)) (*.f64 (-.f64 (/.f64 (*.f64 y t) x) y) x)) (*.f64 y y))))) | |
| 45.1% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x)))))) | |
| 26.9% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 t x))) #s(literal -1 binary64)))))) | |
| 28.7% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- (* t (/ y x)) (* y 1)) (* y (/ y x))) (*.f64 (neg.f64 x) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 y (/.f64 x t))) y) (*.f64 y (*.f64 y (/.f64 x t))))))))) | |
| 42.8% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- (* t (/ y x)) (* y 1)) (* y (/ y x))) (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 t x))))))))) | |
| 54.5% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- (* t (/ y x)) (* y 1)) (* y (/ y x))) #s(approx (* (neg x) (/ (- 1 (/ t x)) y)) (/.f64 t y)))))) | |
| 49.7% | (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (/.f64 #s(approx (* (* (+ x t) (- t x)) z) (*.f64 (*.f64 t t) z)) (+.f64 x t)))) | |
| 41.9% | (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (/.f64 z (+.f64 t x)) (*.f64 (-.f64 t x) (+.f64 t x))))) | |
| ✓ | 60.8% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) |
| 26.4% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 t z)) (neg.f64 z)) x x))) | |
| 58.8% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 z t) (neg.f64 z)) x x))) | |
| 26.1% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 (fma.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) (*.f64 z t) (neg.f64 z)) x x))) | |
| 48.5% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 z t) x) #s(literal 2 binary64)) (*.f64 z z)) (fma.f64 (/.f64 t x) z z)) x x))) | |
| 57.1% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 #s(approx (- (/ (* z t) x) z) (/.f64 (*.f64 z t) x)) x x))) | |
| 52.7% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) x) (+.f64 #s(literal 1 binary64) z)))) | |
| 45.6% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z)) (*.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 z z))) (*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) z))) x))) | |
| 53.0% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) (*.f64 z z)))) x))) | |
| ✓ | 53.2% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) x))) |
| 53.0% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) x))) | |
| 61.3% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))) | |
| ✓ | 17.9% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 z t))) |
Compiled 2 737 to 1 015 computations (62.9% saved)
| Inputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 z t))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) x))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (-.f64 t x) z))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 (+.f64 (/.f64 x z) t) x) z))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 #s(approx (- (/ (* z t) x) z) (/.f64 (*.f64 z t) x)) x x))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- (* t y) (* y x)) (* y y)) (/.f64 t y))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- (* t (/ y x)) (* y 1)) (* y (/ y x))) #s(approx (* (neg x) (/ (- 1 (/ t x)) y)) (/.f64 t y)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 (-.f64 (/.f64 (*.f64 z t) x) z) x x))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) x) (+.f64 #s(literal 1 binary64) z)))) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (/.f64 #s(approx (* (* (+ x t) (- t x)) z) (*.f64 (*.f64 t t) z)) (+.f64 x t)))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 z t) (neg.f64 z)) x x))) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (/.f64 z (+.f64 t x)) (*.f64 (-.f64 t x) (+.f64 t x))))) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (/.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) z) (+.f64 x t)))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- (* t y) (* y x)) (*.f64 (neg.f64 x) y)) (*.f64 y y))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) (*.f64 z z)))) x))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x)))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (*.f64 y (+.f64 x t)))))) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- (* t (/ y x)) (* y 1)) (* y (/ y x))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 t x)) y) (neg.f64 x)))) y) z x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- (* t (/ y x)) (* y 1)) (* y (/ y x))) (*.f64 (neg.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 t x)) y)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z)) (*.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 z z))) (*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) z))) x))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- (* t y) (* y x)) (*.f64 (-.f64 (/.f64 (*.f64 y t) x) y) x)) (*.f64 y y))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 (-.f64 (/.f64 (/.f64 t x) y) (/.f64 #s(literal 1 binary64) y)) x))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- (* t (/ y x)) (* y 1)) (* y (/ y x))) (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 t x))))))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 (/.f64 y x) t) y) (*.f64 (/.f64 y x) y))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t (/.f64 y x)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x)))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (/.f64 t (/.f64 x y)) y) (*.f64 y (/.f64 y x)))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (/.f64 t (/.f64 x y)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x)))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- (* t (/ y x)) (* y 1)) (* y (/ y x))) (*.f64 (neg.f64 x) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 y (/.f64 x t))) y) (*.f64 y (*.f64 y (/.f64 x t))))))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y t) y) (*.f64 (neg.f64 y) y)) (*.f64 y (*.f64 (neg.f64 y) x))) (*.f64 y (*.f64 (neg.f64 y) y)))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 y y) (*.f64 (/.f64 (*.f64 y y) (*.f64 y t)) (*.f64 x y))) (*.f64 (/.f64 (*.f64 y y) (*.f64 y t)) (*.f64 y y)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 z t) (neg.f64 z)) x x))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) x))) |
(fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 (/.f64 t x) y) (*.f64 (*.f64 (*.f64 (/.f64 y x) y) (/.f64 x y)) (/.f64 y y))) (*.f64 (*.f64 (*.f64 (/.f64 y x) y) (/.f64 x y)) (/.f64 y x)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 z t) x) #s(literal 2 binary64)) (*.f64 z z)) (fma.f64 (/.f64 t x) z z)) x x))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 z y)) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 z y)) x)) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 y x) t) y) (/.f64 y x)) (*.f64 (/.f64 y x) (/.f64 y y))) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 (fma.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) (*.f64 z t) (neg.f64 z)) x x))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 t z)) (neg.f64 z)) x x))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 (-.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x (*.f64 z t))) #s(literal -1 binary64))) z) x x))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 t x))) #s(literal -1 binary64)))))) |
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| Outputs |
|---|
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) |
5 calls:
| 36.0ms | z |
| 16.0ms | y |
| 13.0ms | t |
| 13.0ms | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 13.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.1% | 1 | x |
| 99.3% | 2 | y |
| 96.1% | 1 | z |
| 96.1% | 1 | t |
| 96.1% | 1 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
Compiled 19 to 28 computations (-47.4% saved)
| Inputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 z t))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) x))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (-.f64 t x) z))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 (+.f64 (/.f64 x z) t) x) z))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 #s(approx (- (/ (* z t) x) z) (/.f64 (*.f64 z t) x)) x x))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- (* t y) (* y x)) (* y y)) (/.f64 t y))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- (* t (/ y x)) (* y 1)) (* y (/ y x))) #s(approx (* (neg x) (/ (- 1 (/ t x)) y)) (/.f64 t y)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 (-.f64 (/.f64 (*.f64 z t) x) z) x x))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) x) (+.f64 #s(literal 1 binary64) z)))) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (/.f64 #s(approx (* (* (+ x t) (- t x)) z) (*.f64 (*.f64 t t) z)) (+.f64 x t)))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 z t) (neg.f64 z)) x x))) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (/.f64 z (+.f64 t x)) (*.f64 (-.f64 t x) (+.f64 t x))))) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (/.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) z) (+.f64 x t)))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- (* t y) (* y x)) (*.f64 (neg.f64 x) y)) (*.f64 y y))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) (*.f64 z z)))) x))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x)))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (*.f64 y (+.f64 x t)))))) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- (* t (/ y x)) (* y 1)) (* y (/ y x))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 t x)) y) (neg.f64 x)))) y) z x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- (* t (/ y x)) (* y 1)) (* y (/ y x))) (*.f64 (neg.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 t x)) y)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z)) (*.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 z z))) (*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) z))) x))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- (* t y) (* y x)) (*.f64 (-.f64 (/.f64 (*.f64 y t) x) y) x)) (*.f64 y y))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 (-.f64 (/.f64 (/.f64 t x) y) (/.f64 #s(literal 1 binary64) y)) x))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- (* t (/ y x)) (* y 1)) (* y (/ y x))) (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 t x))))))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 (/.f64 y x) t) y) (*.f64 (/.f64 y x) y))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t (/.f64 y x)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x)))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (/.f64 t (/.f64 x y)) y) (*.f64 y (/.f64 y x)))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (/.f64 t (/.f64 x y)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x)))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- (* t (/ y x)) (* y 1)) (* y (/ y x))) (*.f64 (neg.f64 x) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 y (/.f64 x t))) y) (*.f64 y (*.f64 y (/.f64 x t))))))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y t) y) (*.f64 (neg.f64 y) y)) (*.f64 y (*.f64 (neg.f64 y) x))) (*.f64 y (*.f64 (neg.f64 y) y)))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 y y) (*.f64 (/.f64 (*.f64 y y) (*.f64 y t)) (*.f64 x y))) (*.f64 (/.f64 (*.f64 y y) (*.f64 y t)) (*.f64 y y)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 z t) (neg.f64 z)) x x))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) x))) |
(fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 (/.f64 t x) y) (*.f64 (*.f64 (*.f64 (/.f64 y x) y) (/.f64 x y)) (/.f64 y y))) (*.f64 (*.f64 (*.f64 (/.f64 y x) y) (/.f64 x y)) (/.f64 y x)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 z t) x) #s(literal 2 binary64)) (*.f64 z z)) (fma.f64 (/.f64 t x) z z)) x x))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 z y)) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 z y)) x)) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 y x) t) y) (/.f64 y x)) (*.f64 (/.f64 y x) (/.f64 y y))) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 (fma.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) (*.f64 z t) (neg.f64 z)) x x))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 t z)) (neg.f64 z)) x x))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 (-.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x (*.f64 z t))) #s(literal -1 binary64))) z) x x))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 t x))) #s(literal -1 binary64)))))) |
| Outputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))) |
(fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) |
5 calls:
| 34.0ms | x |
| 18.0ms | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 15.0ms | z |
| 13.0ms | t |
| 12.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.4% | 3 | t |
| 70.5% | 3 | x |
| 73.7% | 3 | z |
| 75.8% | 3 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 84.7% | 3 | y |
Compiled 19 to 28 computations (-47.4% saved)
| Inputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 z t))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) x))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (-.f64 t x) z))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 (+.f64 (/.f64 x z) t) x) z))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 #s(approx (- (/ (* z t) x) z) (/.f64 (*.f64 z t) x)) x x))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- (* t y) (* y x)) (* y y)) (/.f64 t y))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- (* t (/ y x)) (* y 1)) (* y (/ y x))) #s(approx (* (neg x) (/ (- 1 (/ t x)) y)) (/.f64 t y)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 (-.f64 (/.f64 (*.f64 z t) x) z) x x))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) x) (+.f64 #s(literal 1 binary64) z)))) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (/.f64 #s(approx (* (* (+ x t) (- t x)) z) (*.f64 (*.f64 t t) z)) (+.f64 x t)))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 z t) (neg.f64 z)) x x))) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (/.f64 z (+.f64 t x)) (*.f64 (-.f64 t x) (+.f64 t x))))) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (/.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 t x)) z) (+.f64 x t)))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- (* t y) (* y x)) (*.f64 (neg.f64 x) y)) (*.f64 y y))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) (*.f64 z z)))) x))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x)))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (*.f64 y (+.f64 x t)))))) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- (* t (/ y x)) (* y 1)) (* y (/ y x))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 t x)) y) (neg.f64 x)))) y) z x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- (* t (/ y x)) (* y 1)) (* y (/ y x))) (*.f64 (neg.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 t x)) y)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z)) (*.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 z z))) (*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) z))) x))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- (* t y) (* y x)) (*.f64 (-.f64 (/.f64 (*.f64 y t) x) y) x)) (*.f64 y y))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 (-.f64 (/.f64 (/.f64 t x) y) (/.f64 #s(literal 1 binary64) y)) x))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- (* t (/ y x)) (* y 1)) (* y (/ y x))) (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 t x))))))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 (/.f64 y x) t) y) (*.f64 (/.f64 y x) y))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t (/.f64 y x)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x)))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (/.f64 t (/.f64 x y)) y) (*.f64 y (/.f64 y x)))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (/.f64 t (/.f64 x y)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x)))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- (* t (/ y x)) (* y 1)) (* y (/ y x))) (*.f64 (neg.f64 x) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 y (/.f64 x t))) y) (*.f64 y (*.f64 y (/.f64 x t))))))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y t) y) (*.f64 (neg.f64 y) y)) (*.f64 y (*.f64 (neg.f64 y) x))) (*.f64 y (*.f64 (neg.f64 y) y)))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 y y) (*.f64 (/.f64 (*.f64 y y) (*.f64 y t)) (*.f64 x y))) (*.f64 (/.f64 (*.f64 y y) (*.f64 y t)) (*.f64 y y)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 z t) (neg.f64 z)) x x))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) x))) |
| Outputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) |
1 calls:
| 30.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.9% | 2 | y |
Compiled 1 to 4 computations (-300% saved)
| Inputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 z t))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) x))) |
| Outputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) x))) |
4 calls:
| 18.0ms | z |
| 2.0ms | y |
| 2.0ms | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 2.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.6% | 3 | z |
| 65.0% | 3 | t |
| 69.0% | 3 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 69.4% | 2 | y |
Compiled 18 to 24 computations (-33.3% saved)
| Inputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 z t))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))) |
| Outputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 z t))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 z t))) |
3 calls:
| 1.0ms | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 1.0ms | y |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.0% | 3 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 61.3% | 1 | x |
| 63.6% | 2 | y |
Compiled 17 to 20 computations (-17.6% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 z t))) |
| Outputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.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 | x |
| 1.0ms | y |
| 1.0ms | t |
| 1.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 17.9% | 1 | x |
| 17.9% | 1 | t |
| 17.9% | 1 | y |
| 17.9% | 1 | z |
| 17.9% | 1 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
Compiled 19 to 28 computations (-47.4% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 21.0ms | 9.743560471063482e+195 | 5.801344631596568e+196 |
| 17.0ms | 95× | 0 | valid |
| 0.0ms | 1× | 1 | valid |
Compiled 234 to 187 computations (20.1% saved)
ival-div: 1.0ms (23.5% of total)ival-mult: 1.0ms (23.5% of total)ival-tanh: 1.0ms (23.5% of total)adjust: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-sub: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 9.0ms | 9.743560471063482e+195 | 5.801344631596568e+196 |
| 17.0ms | 6.267130493361712e-58 | 2.5596253829519563e-55 |
| 14.0ms | 201× | 0 | valid |
| 1.0ms | 7× | 1 | valid |
Compiled 650 to 495 computations (23.8% saved)
ival-div: 3.0ms (31.5% of total)ival-mult: 3.0ms (31.5% of total)ival-tanh: 2.0ms (21% of total)ival-sub: 1.0ms (10.5% of total)ival-add: 1.0ms (10.5% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 1.1965766041026972e+21 | 8.811658108825517e+22 |
| 8.0ms | 110× | 0 | valid |
| 0.0ms | 2× | 1 | valid |
Compiled 389 to 292 computations (24.9% saved)
ival-div: 2.0ms (39.2% of total)ival-sub: 1.0ms (19.6% of total)ival-mult: 1.0ms (19.6% of total)ival-tanh: 1.0ms (19.6% of total)adjust: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 8.0ms | 2.8391811487785713e+88 | 3.442514876434633e+88 |
| 4.0ms | 48× | 0 | valid |
Compiled 198 to 151 computations (23.7% saved)
ival-div: 1.0ms (42.4% of total)ival-mult: 1.0ms (42.4% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-tanh: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.5286423101610638e+304 | +inf |
| 0.0ms | -inf | -2.3013452560952384e+297 |
Compiled 18 to 19 computations (-5.6% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 66 | 362 |
| 1 | 125 | 362 |
| 2 | 246 | 362 |
| 3 | 546 | 362 |
| 4 | 1837 | 362 |
| 5 | 7489 | 362 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 y #s(literal 53000000000000000730206955692740566692888841397215869317129880413989132132400647423897704942939920328673779036148868191105135031268559559307090260738685452476482809944550102153064796373821775937536 binary64)) (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))) |
(if (<=.f64 y #s(literal 1628812137842573/13803492693581127574869511724554050904902217944340773110325048447598592 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))) (if (<=.f64 y #s(literal 9999999999999999511432924639235132053389160461186216699466583890573511723749959183278387889172340228095875448767138256706948253250552493092635735926276453993770366538373425000777236538229086224384 binary64)) (fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)))) |
(if (<=.f64 y #s(literal 4600000000000000000000 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))) |
(if (<=.f64 y #s(literal 28500000000000001051935477978965749826643764483629010814942432874014759456109952742981632 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) x)))) |
(if (<=.f64 (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal -inf.0 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 z t))) (if (<=.f64 (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal 19999999999999998785071050110729243720080574440234649906381543142646409126026467805686618514881015496873712236112324345157434387485272061060471597681733765549974602883364022082135420506324881811687439605097103198153279365101643665319098224539215899610692069837325144812815208761691919724149808696276287488 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 z t))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 z t))) |
| Outputs |
|---|
(if (<=.f64 y #s(literal 53000000000000000730206955692740566692888841397215869317129880413989132132400647423897704942939920328673779036148868191105135031268559559307090260738685452476482809944550102153064796373821775937536 binary64)) (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))) |
(if (<=.f64 y #s(literal 1628812137842573/13803492693581127574869511724554050904902217944340773110325048447598592 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))) (if (<=.f64 y #s(literal 9999999999999999511432924639235132053389160461186216699466583890573511723749959183278387889172340228095875448767138256706948253250552493092635735926276453993770366538373425000777236538229086224384 binary64)) (fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)))) |
(if (<=.f64 y #s(literal 4600000000000000000000 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))) |
(if (<=.f64 y #s(literal 28500000000000001051935477978965749826643764483629010814942432874014759456109952742981632 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) x)))) |
(if (<=.f64 (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal -inf.0 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 z t))) (if (<=.f64 (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal 19999999999999998785071050110729243720080574440234649906381543142646409126026467805686618514881015496873712236112324345157434387485272061060471597681733765549974602883364022082135420506324881811687439605097103198153279365101643665319098224539215899610692069837325144812815208761691919724149808696276287488 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 z t))))) |
(if (or (<=.f64 (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal -inf.0 binary64)) (not (<=.f64 (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal 19999999999999998785071050110729243720080574440234649906381543142646409126026467805686618514881015496873712236112324345157434387485272061060471597681733765549974602883364022082135420506324881811687439605097103198153279365101643665319098224539215899610692069837325144812815208761691919724149808696276287488 binary64)))) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 z t))) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 z t))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 234 |
| 0 | 54 | 233 |
| 1 | 230 | 233 |
| 2 | 1897 | 233 |
| 0 | 8147 | 231 |
| 0 | 560 | 4393 |
| 1 | 1905 | 3289 |
| 2 | 7453 | 3287 |
| 0 | 8604 | 3138 |
| 0 | 573 | 5368 |
| 1 | 1922 | 3703 |
| 2 | 7666 | 3701 |
| 0 | 8081 | 3525 |
| 0 | 439 | 3877 |
| 1 | 1484 | 2693 |
| 2 | 6213 | 2304 |
| 0 | 9215 | 2190 |
| 0 | 12 | 44 |
| 0 | 20 | 44 |
| 1 | 99 | 44 |
| 2 | 871 | 44 |
| 0 | 8379 | 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 |
Compiled 610 to 273 computations (55.2% saved)
Compiled 864 to 234 computations (72.9% saved)
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