
Time bar (total: 14.4s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 2 |
| 50% | 49.9% | 49.9% | 0.2% | 0% | 0% | 0% | 3 |
| 50% | 49.9% | 49.9% | 0.2% | 0% | 0% | 0% | 4 |
| 50% | 49.9% | 49.9% | 0.2% | 0% | 0% | 0% | 5 |
| 50% | 49.9% | 49.9% | 0.2% | 0% | 0% | 0% | 6 |
| 75% | 74.9% | 25% | 0.2% | 0% | 0% | 0% | 7 |
| 75% | 74.9% | 25% | 0.2% | 0% | 0% | 0% | 8 |
| 75% | 74.9% | 25% | 0.2% | 0% | 0% | 0% | 9 |
| 75% | 74.9% | 25% | 0.2% | 0% | 0% | 0% | 10 |
| 87.5% | 87.3% | 12.5% | 0.2% | 0% | 0% | 0% | 11 |
| 87.5% | 87.3% | 12.5% | 0.2% | 0% | 0% | 0% | 12 |
Compiled 17 to 14 computations (17.6% saved)
| 1.0s | 8 016× | 0 | valid |
| 37.0ms | 240× | 1 | valid |
ival-div: 363.0ms (48.8% of total)ival-mult: 147.0ms (19.7% of total)ival-tanh: 80.0ms (10.7% of total)ival-sub: 78.0ms (10.5% of total)ival-add: 63.0ms (8.5% of total)ival-true: 6.0ms (0.8% of total)adjust: 5.0ms (0.7% of total)ival-assert: 3.0ms (0.4% of total)| 1× | egg-herbie |
| 12 492× | lower-fma.f64 |
| 12 492× | lower-fma.f32 |
| 3 782× | lower-*.f32 |
| 3 778× | lower-*.f64 |
| 2 164× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 76 | 226 |
| 1 | 399 | 224 |
| 2 | 1184 | 210 |
| 3 | 4721 | 210 |
| 0 | 12 | 15 |
| 0 | 20 | 15 |
| 1 | 62 | 15 |
| 2 | 165 | 15 |
| 3 | 427 | 15 |
| 4 | 1658 | 15 |
| 5 | 6383 | 15 |
| 0 | 8408 | 14 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| Outputs |
|---|
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x) |
(abs y)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 22 | 0 | - | 1 | (-4.285368901894636e-36 1.0346117170959586e+282 -6.793761691786936e-172 4.938945988379197e-278) | (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
| 0 | 0 | - | 0 | - | (/.f64 x y) |
| 0 | 0 | - | 0 | - | (/.f64 t y) |
| 0 | 0 | - | 0 | - | t |
| 0 | 0 | - | 0 | - | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 0 | 0 | - | 0 | - | (tanh.f64 (/.f64 x y)) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (tanh.f64 (/.f64 t y)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
| 0 | 0 | - | 0 | - | (*.f64 y z) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
*.f64 | (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) | n*o | 15 | 0 |
*.f64 | (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) | o*u | 3 | 0 |
| ↳ | (*.f64 y z) | overflow | 33 | |
| ↳ | (/.f64 t y) | underflow | 21 | |
| ↳ | (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) | underflow | 50 | |
| ↳ | (tanh.f64 (/.f64 x y)) | underflow | 31 | |
| ↳ | (/.f64 x y) | underflow | 31 | |
| ↳ | (tanh.f64 (/.f64 t y)) | underflow | 21 | |
*.f64 | (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) | n*u | 2 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 20 | 1 |
| - | 0 | 235 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 20 | 0 | 1 |
| - | 0 | 0 | 235 |
| number | freq |
|---|---|
| 0 | 236 |
| 1 | 20 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 39.0ms | 426× | 0 | valid |
| 35.0ms | 78× | 2 | valid |
| 2.0ms | 8× | 1 | valid |
Compiled 158 to 52 computations (67.1% saved)
ival-div: 10.0ms (29.6% of total)ival-tanh: 7.0ms (20.7% of total)ival-mult: 7.0ms (20.7% of total)adjust: 3.0ms (8.9% of total)ival-sub: 3.0ms (8.9% of total)ival-add: 3.0ms (8.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)Compiled 4 to 4 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 92.1% | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
Compiled 19 to 12 computations (36.8% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
| ✓ | cost-diff | 0 | (*.f64 y z) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
| ✓ | cost-diff | 128 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 12 492× | lower-fma.f64 |
| 12 492× | lower-fma.f32 |
| 3 782× | lower-*.f32 |
| 3 778× | lower-*.f64 |
| 2 164× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 58 |
| 0 | 20 | 58 |
| 1 | 62 | 58 |
| 2 | 165 | 58 |
| 3 | 427 | 58 |
| 4 | 1658 | 58 |
| 5 | 6383 | 58 |
| 0 | 8408 | 57 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
x |
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
(*.f64 y z) |
y |
z |
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
(tanh.f64 (/.f64 t y)) |
(/.f64 t y) |
t |
(tanh.f64 (/.f64 x y)) |
(/.f64 x y) |
| Outputs |
|---|
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x) |
x |
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
(*.f64 y z) |
y |
z |
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
(tanh.f64 (/.f64 t y)) |
(/.f64 t y) |
t |
(tanh.f64 (/.f64 x y)) |
(/.f64 x y) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| ✓ | accuracy | 100.0% | (tanh.f64 (/.f64 x y)) |
| ✓ | accuracy | 100.0% | (tanh.f64 (/.f64 t y)) |
| ✓ | accuracy | 91.9% | (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
| 17.0ms | 213× | 0 | valid |
| 10.0ms | 39× | 2 | valid |
| 1.0ms | 4× | 1 | valid |
Compiled 60 to 14 computations (76.7% saved)
ival-div: 5.0ms (30.4% of total)ival-tanh: 4.0ms (24.4% of total)ival-mult: 4.0ms (24.4% of total)adjust: 1.0ms (6.1% of total)ival-sub: 1.0ms (6.1% of total)ival-add: 1.0ms (6.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))> |
#<alt (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))> |
#<alt (*.f64 y z)> |
#<alt (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))> |
#<alt (tanh.f64 (/.f64 t y))> |
#<alt (tanh.f64 (/.f64 x y))> |
| Outputs |
|---|
#<alt (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))> |
#<alt (+ (* x (+ 1 (* -1 z))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))> |
#<alt (+ (* x (+ 1 (+ (* -1 z) (* 1/3 (/ (* (pow x 2) z) (pow y 2)))))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))> |
#<alt (+ (* x (+ 1 (+ (* -1 z) (* (pow x 2) (+ (* -2/15 (/ (* (pow x 2) z) (pow y 4))) (* 1/3 (/ z (pow y 2)))))))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))> |
#<alt x> |
#<alt (* x (+ 1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)))> |
#<alt (* x (+ 1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)))> |
#<alt (* x (+ 1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1)))> |
#<alt x> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* z (- t x)))> |
#<alt (+ x (+ (* z (- t x)) (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y)))> |
#<alt (+ x (+ (* z (- t x)) (+ (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y) (/ (* z (- (+ (* 1/2 (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3))))) (* 1/2 (pow x 3))) (+ (* 1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3))))) (* 1/2 (pow t 3))))) (pow y 2)))))> |
#<alt (+ x (+ (* z (- t x)) (+ (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y) (+ (/ (* z (- (+ (* -1/2 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))))) (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (* 1/2 (+ (* -1 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/6 (pow t 3)))))) (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (* 1/12 (pow t 4)))))))) (+ (* -1/2 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (* -1/2 (pow t 3))))) (+ (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2)))) (* 1/2 (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4)))))))))) (pow y 3)) (/ (* z (- (+ (* 1/2 (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3))))) (* 1/2 (pow x 3))) (+ (* 1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3))))) (* 1/2 (pow t 3))))) (pow y 2))))))> |
#<alt (+ x (* -1 (* z (- (* -1 t) (* -1 x)))))> |
#<alt (+ x (+ (* -1 (* z (- (* -1 t) (* -1 x)))) (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y)))> |
#<alt (+ 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))))> |
#<alt (+ 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))))> |
#<alt x> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* 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)))> |
#<alt (* 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)))> |
#<alt (* 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)))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* -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)))))> |
#<alt (* -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)))))> |
#<alt (* -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)))))> |
#<alt (+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
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#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))> |
#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))> |
#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))> |
#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))> |
#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))> |
#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))> |
#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))> |
#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))> |
#<alt (/ (- t x) y)> |
#<alt (/ (- (+ t (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y))) (+ x (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)))) y)> |
#<alt (/ (- (+ t (+ (* 1/2 (/ (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3)))) (pow y 2))) (+ (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y)) (* 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)> |
#<alt (/ (- (+ 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)> |
#<alt (* -1 (/ (- (* -1 t) (* -1 x)) y))> |
#<alt (* -1 (/ (- (+ (* -1 t) (* -1 (/ (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) (* -1 x)) y))> |
#<alt (* -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))> |
#<alt (* -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))> |
#<alt (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))> |
#<alt (- (+ (* -1 (/ x y)) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))> |
#<alt (- (+ (* 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)))))))> |
#<alt (- (+ (* 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)))))))> |
#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))> |
#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))> |
#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))> |
#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))> |
#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))> |
#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))> |
#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))> |
#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))> |
#<alt (/ t y)> |
#<alt (* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y)))> |
#<alt (* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y)))> |
#<alt (* t (+ (* (pow t 2) (- (* (pow t 2) (+ (* -17/315 (/ (pow t 2) (pow y 7))) (* 2/15 (/ 1 (pow y 5))))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y)))> |
#<alt (/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))> |
#<alt (/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))> |
#<alt (/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))> |
#<alt (/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))> |
#<alt (/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))> |
#<alt (/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))> |
#<alt (/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))> |
#<alt (/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))> |
#<alt (/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))> |
#<alt (/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))> |
#<alt (/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))> |
#<alt (/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))> |
#<alt (/ t y)> |
#<alt (/ (+ t (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y))) y)> |
#<alt (/ (- (+ t (+ (* 1/2 (/ (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y)))) (* 1/2 (/ (pow t 3) (pow y 2)))) y)> |
#<alt (/ (- (+ t (+ (* 1/2 (/ (+ (* -1 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/6 (pow t 3)))))) (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (* 1/12 (pow t 4))))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y))))) (+ (* -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)> |
#<alt (/ t y)> |
#<alt (* -1 (/ (+ (* -1 t) (* -1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y))) y))> |
#<alt (* -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))> |
#<alt (* -1 (/ (+ (* -1 t) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (+ (* 1/12 (pow t 4)) (* t (+ (* -1/6 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))))))) (+ (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2)))) (* 1/2 (* t (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))))) y)) (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))))) (* -1/2 (pow t 3))) y)) (* 1/2 (+ (* -1 (pow t 2)) (pow t 2)))) y))) y))> |
#<alt (/ x y)> |
#<alt (* x (+ (* -1/3 (/ (pow x 2) (pow y 3))) (/ 1 y)))> |
#<alt (* x (+ (* (pow x 2) (- (* 2/15 (/ (pow x 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y)))> |
#<alt (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -17/315 (/ (pow x 2) (pow y 7))) (* 2/15 (/ 1 (pow y 5))))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y)))> |
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))> |
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))> |
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))> |
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))> |
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#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))> |
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))> |
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#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))> |
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))> |
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))> |
#<alt (/ x y)> |
#<alt (/ (+ x (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) y)> |
#<alt (/ (- (+ x (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)))) (* 1/2 (/ (pow x 3) (pow y 2)))) y)> |
#<alt (/ (- (+ x (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))))) (+ (* -1/2 (/ (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (pow y 3))) (+ (* 1/4 (/ (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2))) (pow y 3))) (* 1/2 (/ (pow x 3) (pow y 2)))))) y)> |
#<alt (/ x y)> |
#<alt (* -1 (/ (+ (* -1 x) (* -1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) y))> |
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (- (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) (* -1/2 (pow x 3))) y)) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) y))> |
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (+ (* 1/12 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))))) (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (* 1/2 (* x (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))) y)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))) (* -1/2 (pow x 3))) y)) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) y))> |
51 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 16.0ms | t | @ | inf | (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) |
| 6.0ms | t | @ | -inf | (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) |
| 6.0ms | y | @ | inf | (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) |
| 3.0ms | y | @ | -inf | (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) |
| 3.0ms | x | @ | inf | (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) |
| 1× | egg-herbie |
| 13 264× | lower-fma.f64 |
| 13 264× | lower-fma.f32 |
| 4 518× | lower-*.f64 |
| 4 518× | lower-*.f32 |
| 4 012× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 495 | 10076 |
| 1 | 1678 | 7475 |
| 2 | 6942 | 7471 |
| 0 | 8224 | 7285 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))) |
(+ (* x (+ 1 (* -1 z))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))) |
(+ (* x (+ 1 (+ (* -1 z) (* 1/3 (/ (* (pow x 2) z) (pow y 2)))))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))) |
(+ (* x (+ 1 (+ (* -1 z) (* (pow x 2) (+ (* -2/15 (/ (* (pow x 2) z) (pow y 4))) (* 1/3 (/ z (pow y 2)))))))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))) |
x |
(* x (+ 1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x))) |
(* x (+ 1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x))) |
(* x (+ 1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x))) |
x |
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(/ x y) |
(* x (+ (* -1/3 (/ (pow x 2) (pow y 3))) (/ 1 y))) |
(* x (+ (* (pow x 2) (- (* 2/15 (/ (pow x 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) |
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -17/315 (/ (pow x 2) (pow y 7))) (* 2/15 (/ 1 (pow y 5))))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/ x y) |
(/ (+ x (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) y) |
(/ (- (+ x (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)))) (* 1/2 (/ (pow x 3) (pow y 2)))) y) |
(/ (- (+ x (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))))) (+ (* -1/2 (/ (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (pow y 3))) (+ (* 1/4 (/ (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2))) (pow y 3))) (* 1/2 (/ (pow x 3) (pow y 2)))))) y) |
(/ x y) |
(* -1 (/ (+ (* -1 x) (* -1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (- (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) (* -1/2 (pow x 3))) y)) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (+ (* 1/12 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))))) (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (* 1/2 (* x (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))) y)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))) (* -1/2 (pow x 3))) y)) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) y)) |
| Outputs |
|---|
(* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))) |
(/.f64 (*.f64 (*.f64 y z) (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 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 y (/.f64 (*.f64 z (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (fma.f64 z (neg.f64 x) 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 y (/.f64 (*.f64 z (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (fma.f64 x (fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y))) x) x (neg.f64 z)) x)) |
(+ (* x (+ 1 (+ (* -1 z) (* (pow x 2) (+ (* -2/15 (/ (* (pow x 2) z) (pow y 4))) (* 1/3 (/ z (pow y 2)))))))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))) |
(fma.f64 y (/.f64 (*.f64 z (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (fma.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 x x) #s(literal -2/15 binary64)) (/.f64 z (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)))) (neg.f64 z)) x)) |
x |
(* x (+ 1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x))) |
(fma.f64 (*.f64 x y) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))))) (/.f64 z x)) x) |
(* x (+ 1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x))) |
(fma.f64 (*.f64 x y) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))))) (/.f64 z x)) x) |
(* x (+ 1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x))) |
(fma.f64 (*.f64 x y) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))))) (/.f64 z x)) x) |
x |
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
(fma.f64 (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))))) (*.f64 y z)) (neg.f64 x)) (neg.f64 x) x) |
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
(fma.f64 (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))))) (*.f64 y z)) (neg.f64 x)) (neg.f64 x) x) |
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
(fma.f64 (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))))) (*.f64 y z)) (neg.f64 x)) (neg.f64 x) x) |
x |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))))) (*.f64 y z) x) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))))) (*.f64 y z) x) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))))) (*.f64 y z) x) |
(+ x (* z (- t x))) |
(fma.f64 z (-.f64 t x) x) |
(+ x (+ (* z (- t x)) (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y))) |
(fma.f64 z (+.f64 t (-.f64 (/.f64 #s(literal 0 binary64) y) x)) x) |
(+ x (+ (* z (- t x)) (+ (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y) (/ (* z (- (+ (* 1/2 (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3))))) (* 1/2 (pow x 3))) (+ (* 1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3))))) (* 1/2 (pow t 3))))) (pow y 2))))) |
(fma.f64 z (+.f64 t (-.f64 (/.f64 #s(literal 0 binary64) y) x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))))) (/.f64 z (*.f64 y y)) x)) |
(+ x (+ (* z (- t x)) (+ (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y) (+ (/ (* z (- (+ (* -1/2 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))))) (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (* 1/2 (+ (* -1 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/6 (pow t 3)))))) (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (* 1/12 (pow t 4)))))))) (+ (* -1/2 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (* -1/2 (pow t 3))))) (+ (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2)))) (* 1/2 (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4)))))))))) (pow y 3)) (/ (* z (- (+ (* 1/2 (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3))))) (* 1/2 (pow x 3))) (+ (* 1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3))))) (* 1/2 (pow t 3))))) (pow y 2)))))) |
(fma.f64 z (+.f64 t (-.f64 (/.f64 #s(literal 0 binary64) y) x)) (fma.f64 z (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 y y)) (/.f64 (fma.f64 x (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 (*.f64 t t) (*.f64 (*.f64 t (*.f64 t #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) (*.f64 (*.f64 t (*.f64 t (*.f64 t t))) #s(literal -1/12 binary64))) (*.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/6 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/12 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)))) (fma.f64 (fma.f64 t (*.f64 #s(literal 1/2 binary64) (*.f64 t t)) (*.f64 t (*.f64 t (*.f64 t #s(literal -1/2 binary64))))) (*.f64 t #s(literal -1/2 binary64)) #s(literal 0 binary64))))) (*.f64 y (*.f64 y y)))) x)) |
(+ x (* -1 (* z (- (* -1 t) (* -1 x))))) |
(fma.f64 (neg.f64 z) (+.f64 x (neg.f64 t)) x) |
(+ x (+ (* -1 (* z (- (* -1 t) (* -1 x)))) (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y))) |
(fma.f64 z (/.f64 #s(literal 0 binary64) y) (fma.f64 (neg.f64 z) (+.f64 x (neg.f64 t)) x)) |
(+ x (+ (* -1 (* z (- (* -1 t) (* -1 x)))) (* -1 (/ (+ (* -1 (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))))) (/ (* z (- (+ (* -1/2 (pow x 3)) (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))))) (+ (* -1/2 (pow t 3)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))))) y)) y)))) |
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(/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y))) x) y) |
(/ (- (+ x (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))))) (+ (* -1/2 (/ (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (pow y 3))) (+ (* 1/4 (/ (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2))) (pow y 3))) (* 1/2 (/ (pow x 3) (pow y 2)))))) y) |
(/.f64 (+.f64 x (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/12 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)))) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y))) (-.f64 (/.f64 #s(literal 0 binary64) y) (fma.f64 x (*.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x)))) (*.f64 y (*.f64 y y))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y)) (/.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))))))) y) |
(/ x y) |
(/.f64 x y) |
(* -1 (/ (+ (* -1 x) (* -1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) y)) |
(/.f64 (+.f64 x (/.f64 #s(literal 0 binary64) y)) y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (- (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) (* -1/2 (pow x 3))) y)) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) y)) |
(/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y)) (neg.f64 x)) (neg.f64 y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (+ (* 1/12 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))))) (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (* 1/2 (* x (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))) y)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))) (* -1/2 (pow x 3))) y)) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) y)) |
(/.f64 (-.f64 (neg.f64 x) (/.f64 (/.f64 (fma.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/12 binary64))) (*.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/4 binary64))) (fma.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x #s(literal 1/2 binary64)) #s(literal 0 binary64))) (neg.f64 y))) (neg.f64 y)) y)) (neg.f64 y)) |
| 1× | batch-egg-rewrite |
| 5 094× | lower-*.f32 |
| 5 090× | lower-*.f64 |
| 4 102× | lower-/.f32 |
| 4 098× | lower-/.f64 |
| 2 936× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 48 |
| 0 | 20 | 48 |
| 1 | 99 | 48 |
| 2 | 871 | 48 |
| 0 | 8208 | 47 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
(*.f64 y z) |
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
(tanh.f64 (/.f64 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))))) |
(+.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x) |
(+.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) (neg.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) (/.f64 (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x)))) |
(fma.f64 x #s(literal 1 binary64) (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(fma.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x) |
(fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x) |
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x) |
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) (neg.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))))) |
(fma.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y x) |
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) |
(fma.f64 (*.f64 (*.f64 y z) (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)))) x) |
(fma.f64 (*.f64 (*.f64 y z) (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x) |
(fma.f64 (*.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64))) (*.f64 y z)) (/.f64 #s(literal 1 binary64) (fma.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)))) x) |
(fma.f64 (*.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 2 binary64))) (*.f64 y z)) (/.f64 #s(literal 1 binary64) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x) |
(neg.f64 (/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x)) (*.f64 x x))))) |
(neg.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64))) (neg.f64 (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x)) (*.f64 x x)))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)))) (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (fma.f64 x x (*.f64 (neg.f64 (*.f64 x (*.f64 y z))) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (*.f64 x x)))) |
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x)) (*.f64 x x))) |
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (fma.f64 x x (*.f64 (neg.f64 (*.f64 x (*.f64 y z))) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64))) (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x)) (*.f64 x x)))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (fma.f64 x x (*.f64 (neg.f64 (*.f64 x (*.f64 y z))) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) (*.f64 (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)))) (*.f64 (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x)) (*.f64 x x))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) (/.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) (fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) (/.f64 (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) (*.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) (/.f64 (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) (/.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) (/.f64 (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))))) (+.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) (/.f64 (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))))) |
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(*.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 x y))) |
(*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (/.f64 x y)) (cosh.f64 (/.f64 x y)))) |
(*.f64 (expm1.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)))))) |
(*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 (/.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 (/.f64 x y))))) |
(*.f64 (neg.f64 (expm1.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))))))) |
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))))))) |
(tanh.f64 (/.f64 x y)) |
Compiled 22 911 to 1 958 computations (91.5% saved)
11 alts after pruning (11 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 501 | 11 | 512 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 502 | 11 | 513 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 97.3% | (fma.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y x) |
| 88.4% | (+.f64 x (fma.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)) (neg.f64 (*.f64 (*.f64 y z) (tanh.f64 (/.f64 x y)))))) | |
| 32.3% | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (fma.f64 x (/.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 y (*.f64 y y))) (/.f64 x y)))))) | |
| ▶ | 66.6% | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) |
| 63.6% | (+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))) | |
| 37.6% | (+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (*.f64 t (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 t t) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) y)))) (tanh.f64 (/.f64 x y))))) | |
| ▶ | 49.5% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) |
| ▶ | 20.2% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 x (-.f64 (neg.f64 t) (/.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y)) y))) (neg.f64 y))))) |
| 65.2% | (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 z (-.f64 t x)))) | |
| 25.9% | (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 z (+.f64 x (neg.f64 t)) (/.f64 (fma.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (/.f64 z y) (*.f64 z #s(literal 0 binary64))) y))))) | |
| ▶ | 65.2% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)) |
Compiled 546 to 314 computations (42.5% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) |
| ✓ | cost-diff | 0 | (*.f64 y z) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) |
| ✓ | cost-diff | 128 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) |
| ✓ | cost-diff | 128 | (/.f64 (+.f64 x (-.f64 (neg.f64 t) (/.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y)) y))) (neg.f64 y)) |
| ✓ | cost-diff | 128 | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 x (-.f64 (neg.f64 t) (/.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y)) y))) (neg.f64 y))))) |
| ✓ | cost-diff | 384 | (/.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y)) y) |
| ✓ | cost-diff | 1152 | (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) |
| ✓ | cost-diff | 0 | #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) |
| ✓ | cost-diff | 0 | (*.f64 y z) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) |
| ✓ | cost-diff | 128 | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) |
| ✓ | cost-diff | 0 | (-.f64 t x) |
| ✓ | cost-diff | 0 | (fma.f64 z (-.f64 t x) x) |
| ✓ | cost-diff | 0 | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)) |
| ✓ | cost-diff | 0 | (tanh.f64 (/.f64 t y)) |
| ✓ | cost-diff | 0 | (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
| ✓ | cost-diff | 0 | (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y x) |
| 5 876× | lower-fma.f32 |
| 5 870× | lower-fma.f64 |
| 3 386× | lower-*.f32 |
| 3 362× | lower-*.f64 |
| 1 838× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 609 |
| 0 | 92 | 576 |
| 1 | 201 | 549 |
| 2 | 477 | 488 |
| 3 | 1334 | 482 |
| 4 | 5138 | 482 |
| 0 | 8147 | 469 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y x) |
(*.f64 z (-.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 |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)) |
(fma.f64 z (-.f64 t x) x) |
z |
(-.f64 t x) |
t |
x |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) |
x |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) |
(*.f64 y z) |
y |
z |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) |
(/.f64 (-.f64 t x) y) |
(-.f64 t x) |
t |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 x (-.f64 (neg.f64 t) (/.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y)) y))) (neg.f64 y))))) |
x |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 x (-.f64 (neg.f64 t) (/.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y)) y))) (neg.f64 y)))) |
(*.f64 y z) |
y |
z |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 x (-.f64 (neg.f64 t) (/.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y)) y))) (neg.f64 y))) |
(/.f64 (+.f64 x (-.f64 (neg.f64 t) (/.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y)) y))) (neg.f64 y)) |
(+.f64 x (-.f64 (neg.f64 t) (/.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y)) y))) |
(-.f64 (neg.f64 t) (/.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y)) y)) |
(neg.f64 t) |
t |
(/.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y)) y) |
(/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y)) |
(-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) |
(*.f64 (*.f64 x x) #s(literal -1/2 binary64)) |
(*.f64 x x) |
#s(literal -1/2 binary64) |
(*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64))) |
(*.f64 (*.f64 t t) #s(literal 1/3 binary64)) |
(*.f64 t t) |
#s(literal 1/3 binary64) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)) |
(*.f64 x (*.f64 x x)) |
#s(literal -1/6 binary64) |
(neg.f64 y) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) |
x |
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) |
(*.f64 y z) |
y |
z |
(-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) |
(tanh.f64 (/.f64 t y)) |
(/.f64 t y) |
t |
#s(approx (tanh (/ x y)) (/.f64 x y)) |
(/.f64 x y) |
| Outputs |
|---|
(fma.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y x) |
(fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x) |
(*.f64 z (-.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 |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)) |
(fma.f64 z (-.f64 t x) x) |
z |
(-.f64 t x) |
t |
x |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) |
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x) |
x |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) |
(*.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) 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) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 x (-.f64 (neg.f64 t) (/.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y)) y))) (neg.f64 y))))) |
(fma.f64 z (*.f64 y #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 t (-.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 (*.f64 t t) (*.f64 t #s(literal -1/3 binary64)))) (*.f64 y y)) x)) y))) x) |
x |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 x (-.f64 (neg.f64 t) (/.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y)) y))) (neg.f64 y)))) |
(*.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 t (-.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 (*.f64 t t) (*.f64 t #s(literal -1/3 binary64)))) (*.f64 y y)) x)) y))) |
(*.f64 y z) |
(*.f64 z y) |
y |
z |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 x (-.f64 (neg.f64 t) (/.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y)) y))) (neg.f64 y))) |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 t (-.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 (*.f64 t t) (*.f64 t #s(literal -1/3 binary64)))) (*.f64 y y)) x)) y)) |
(/.f64 (+.f64 x (-.f64 (neg.f64 t) (/.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y)) y))) (neg.f64 y)) |
(/.f64 (+.f64 t (-.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 (*.f64 t t) (*.f64 t #s(literal -1/3 binary64)))) (*.f64 y y)) x)) y) |
(+.f64 x (-.f64 (neg.f64 t) (/.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y)) y))) |
(+.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 t t) (*.f64 t #s(literal 1/3 binary64)))) (*.f64 y y)) (-.f64 x t)) |
(-.f64 (neg.f64 t) (/.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y)) y)) |
(-.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 t t) (*.f64 t #s(literal 1/3 binary64)))) (*.f64 y y)) t) |
(neg.f64 t) |
t |
(/.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y)) y) |
(/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 (*.f64 t t) (*.f64 t #s(literal -1/3 binary64)))) (*.f64 y y)) |
(/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y)) |
(/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 (*.f64 t t) (*.f64 t #s(literal -1/3 binary64)))) y) |
(-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 t t) (*.f64 t #s(literal 1/3 binary64)))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 (*.f64 t t) (*.f64 t #s(literal 1/3 binary64)))) |
(*.f64 (*.f64 x x) #s(literal -1/2 binary64)) |
(*.f64 x x) |
#s(literal -1/2 binary64) |
(*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64))) |
(*.f64 (*.f64 t t) (*.f64 t #s(literal 1/3 binary64))) |
(*.f64 (*.f64 t t) #s(literal 1/3 binary64)) |
(*.f64 t (*.f64 t #s(literal 1/3 binary64))) |
(*.f64 t t) |
#s(literal 1/3 binary64) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) |
(*.f64 x (*.f64 x x)) |
#s(literal -1/6 binary64) |
(neg.f64 y) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) |
(fma.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) x) |
x |
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) |
(*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) |
(*.f64 y z) |
(*.f64 z y) |
y |
z |
(-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) |
(tanh.f64 (/.f64 t y)) |
(/.f64 t y) |
t |
#s(approx (tanh (/ x y)) (/.f64 x y)) |
(/.f64 x y) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) |
| ✓ | accuracy | 100.0% | (tanh.f64 (/.f64 t y)) |
| ✓ | accuracy | 91.9% | (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) |
| ✓ | accuracy | 49.6% | #s(approx (tanh (/ x y)) (/.f64 x y)) |
| ✓ | accuracy | 91.9% | (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 x (-.f64 (neg.f64 t) (/.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y)) y))) (neg.f64 y)))) |
| ✓ | accuracy | 91.3% | (/.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y)) y) |
| ✓ | accuracy | 73.1% | (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) |
| ✓ | accuracy | 31.2% | #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 x (-.f64 (neg.f64 t) (/.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y)) y))) (neg.f64 y))) |
| ✓ | accuracy | 100.0% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) |
| ✓ | accuracy | 100.0% | (/.f64 (-.f64 t x) y) |
| ✓ | accuracy | 91.9% | (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) |
| ✓ | accuracy | 33.3% | #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) |
| ✓ | accuracy | 100.0% | (-.f64 t x) |
| ✓ | accuracy | 100.0% | (fma.f64 z (-.f64 t x) x) |
| ✓ | accuracy | 65.2% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)) |
| ✓ | accuracy | 100.0% | (tanh.f64 (/.f64 x y)) |
| ✓ | accuracy | 100.0% | (tanh.f64 (/.f64 t y)) |
| ✓ | accuracy | 99.1% | (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
| ✓ | accuracy | 98.1% | (fma.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y x) |
| 205.0ms | 213× | 0 | valid |
| 160.0ms | 39× | 2 | valid |
| 3.0ms | 3× | 3 | valid |
| 1.0ms | 1× | 1 | valid |
Compiled 471 to 41 computations (91.3% saved)
ival-div: 143.0ms (73.5% of total)ival-mult: 20.0ms (10.3% of total)const: 7.0ms (3.6% of total)ival-add: 7.0ms (3.6% of total)adjust: 5.0ms (2.6% of total)ival-sub: 5.0ms (2.6% of total)ival-tanh: 4.0ms (2.1% of total)ival-neg: 2.0ms (1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (fma.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y x)> |
#<alt (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))> |
#<alt (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))> |
#<alt (tanh.f64 (/.f64 t y))> |
#<alt #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x))> |
#<alt (fma.f64 z (-.f64 t x) x)> |
#<alt (-.f64 t x)> |
#<alt (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))> |
#<alt (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))> |
#<alt (*.f64 y z)> |
#<alt #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))> |
#<alt (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)))> |
#<alt (/.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y)) y)> |
#<alt (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 x (-.f64 (neg.f64 t) (/.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y)) y))) (neg.f64 y)))))> |
#<alt (/.f64 (+.f64 x (-.f64 (neg.f64 t) (/.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y)) y))) (neg.f64 y))> |
#<alt (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))))> |
#<alt (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))> |
#<alt (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))> |
#<alt (tanh.f64 (/.f64 x y))> |
#<alt (/.f64 (-.f64 t x) y)> |
#<alt #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 x (-.f64 (neg.f64 t) (/.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y)) y))) (neg.f64 y)))> |
#<alt (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 x (-.f64 (neg.f64 t) (/.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y)) y))) (neg.f64 y))))> |
#<alt #s(approx (tanh (/ x y)) (/.f64 x y))> |
| Outputs |
|---|
#<alt x> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* 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)))> |
#<alt (* 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)))> |
#<alt (* 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)))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* -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)))))> |
#<alt (* -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)))))> |
#<alt (* -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)))))> |
#<alt (+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt x> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* z (- t x)))> |
#<alt (+ x (+ (* z (- t x)) (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y)))> |
#<alt (+ x (+ (* z (- t x)) (+ (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y) (/ (* z (- (+ (* 1/2 (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3))))) (* 1/2 (pow x 3))) (+ (* 1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3))))) (* 1/2 (pow t 3))))) (pow y 2)))))> |
#<alt (+ x (+ (* z (- t x)) (+ (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y) (+ (/ (* z (- (+ (* -1/2 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))))) (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (* 1/2 (+ (* -1 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/6 (pow t 3)))))) (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (* 1/12 (pow t 4)))))))) (+ (* -1/2 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (* -1/2 (pow t 3))))) (+ (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2)))) (* 1/2 (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4)))))))))) (pow y 3)) (/ (* z (- (+ (* 1/2 (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3))))) (* 1/2 (pow x 3))) (+ (* 1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3))))) (* 1/2 (pow t 3))))) (pow y 2))))))> |
#<alt (+ x (* -1 (* z (- (* -1 t) (* -1 x)))))> |
#<alt (+ x (+ (* -1 (* z (- (* -1 t) (* -1 x)))) (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y)))> |
#<alt (+ 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))))> |
#<alt (+ 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))))> |
#<alt (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))> |
#<alt (+ (* x (+ 1 (* -1 z))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))> |
#<alt (+ (* x (+ 1 (+ (* -1 z) (* 1/3 (/ (* (pow x 2) z) (pow y 2)))))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))> |
#<alt (+ (* x (+ 1 (+ (* -1 z) (* (pow x 2) (+ (* -2/15 (/ (* (pow x 2) z) (pow y 4))) (* 1/3 (/ z (pow y 2)))))))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))> |
#<alt x> |
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#<alt x> |
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#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
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#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
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#<alt x> |
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#<alt x> |
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#<alt x> |
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#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
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#<alt x> |
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#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* 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)))> |
#<alt (* 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)))> |
#<alt (* 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)))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* -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)))))> |
#<alt (* -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)))))> |
#<alt (* -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)))))> |
#<alt (+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
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#<alt (/ (- t x) y)> |
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#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))> |
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#<alt x> |
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#<alt x> |
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#<alt (* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1)))> |
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#<alt x> |
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#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
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#<alt x> |
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#<alt (* -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)))))> |
#<alt (+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
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#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
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#<alt (/ (+ t (* -1/3 (/ (pow t 3) (pow y 2)))) y)> |
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#<alt (+ (* x (+ 1 (+ (* -1 z) (* 1/3 (/ (* (pow x 2) z) (pow y 2)))))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))> |
#<alt (+ (* x (+ 1 (+ (* -1 z) (* (pow x 2) (+ (* -2/15 (/ (* (pow x 2) z) (pow y 4))) (* 1/3 (/ z (pow y 2)))))))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))> |
#<alt x> |
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#<alt (* x (+ 1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)))> |
#<alt (* x (+ 1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)))> |
#<alt x> |
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#<alt x> |
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#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* z (- t x)))> |
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#<alt (* z (- t x))> |
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#<alt (* -1 (* z (- (* -1 t) (* -1 x))))> |
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#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))> |
#<alt (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))> |
#<alt (+ (* -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))))))))))> |
#<alt (+ (* 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))))))))))> |
#<alt (+ (* 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))))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (/ x y)> |
#<alt (* x (+ (* -1/3 (/ (pow x 2) (pow y 3))) (/ 1 y)))> |
#<alt (* x (+ (* (pow x 2) (- (* 2/15 (/ (pow x 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y)))> |
#<alt (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -17/315 (/ (pow x 2) (pow y 7))) (* 2/15 (/ 1 (pow y 5))))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y)))> |
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))> |
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))> |
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))> |
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))> |
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))> |
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))> |
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))> |
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))> |
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))> |
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))> |
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))> |
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))> |
#<alt (/ x y)> |
#<alt (/ (+ x (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) y)> |
#<alt (/ (- (+ x (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)))) (* 1/2 (/ (pow x 3) (pow y 2)))) y)> |
#<alt (/ (- (+ x (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))))) (+ (* -1/2 (/ (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (pow y 3))) (+ (* 1/4 (/ (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2))) (pow y 3))) (* 1/2 (/ (pow x 3) (pow y 2)))))) y)> |
#<alt (/ x y)> |
#<alt (* -1 (/ (+ (* -1 x) (* -1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) y))> |
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (- (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) (* -1/2 (pow x 3))) y)) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) y))> |
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (+ (* 1/12 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))))) (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (* 1/2 (* x (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))) y)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))) (* -1/2 (pow x 3))) y)) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) y))> |
216 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 155.0ms | y | @ | inf | (- (tanh (/ t y)) (tanh (/ x y))) |
| 46.0ms | t | @ | 0 | (- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6)) |
| 8.0ms | t | @ | inf | (/ (/ (- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6)) (neg y)) y) |
| 2.0ms | y | @ | 0 | (/ (/ (- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6)) (neg y)) y) |
| 1.0ms | x | @ | 0 | (- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6)) |
| 1× | egg-herbie |
| 14 306× | lower-fma.f64 |
| 14 306× | lower-fma.f32 |
| 5 838× | lower-*.f64 |
| 5 838× | lower-*.f32 |
| 5 080× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 759 | 42267 |
| 1 | 2523 | 31603 |
| 0 | 9025 | 30810 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* z (+ (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (/ x z))) |
(* z (+ (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (/ x z))) |
(* z (+ (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (/ x z))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* -1 (* z (+ (* -1 (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (* -1 (/ x z))))) |
(+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
x |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (* z (- t x))) |
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(+ (* x (+ (* -1 z) (* (pow x 2) (+ (* -2/15 (/ (* (pow x 2) z) (pow y 4))) (* 1/3 (/ z (pow y 2))))))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(/ x y) |
(* x (+ (* -1/3 (/ (pow x 2) (pow y 3))) (/ 1 y))) |
(* x (+ (* (pow x 2) (- (* 2/15 (/ (pow x 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) |
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -17/315 (/ (pow x 2) (pow y 7))) (* 2/15 (/ 1 (pow y 5))))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/ x y) |
(/ (+ x (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) y) |
(/ (- (+ x (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)))) (* 1/2 (/ (pow x 3) (pow y 2)))) y) |
(/ (- (+ x (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))))) (+ (* -1/2 (/ (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (pow y 3))) (+ (* 1/4 (/ (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2))) (pow y 3))) (* 1/2 (/ (pow x 3) (pow y 2)))))) y) |
(/ x y) |
(* -1 (/ (+ (* -1 x) (* -1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (- (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) (* -1/2 (pow x 3))) y)) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (+ (* 1/12 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))))) (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (* 1/2 (* x (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))) y)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))) (* -1/2 (pow x 3))) y)) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) y)) |
| Outputs |
|---|
x |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))))) (*.f64 y z) x) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))))) (*.f64 y z) x) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
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(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))))) (*.f64 y 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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(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
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(*.f64 (neg.f64 (fma.f64 y (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))))) (/.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 y (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))))) (/.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))))) |
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(+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
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(+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
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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)))))))))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))))) (*.f64 y z) (fma.f64 t (fma.f64 (*.f64 t t) (*.f64 #s(literal -1/3 binary64) (/.f64 z (*.f64 y y))) z) x)) |
(+ x (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))))) (*.f64 y z) (fma.f64 t (fma.f64 (*.f64 t t) (fma.f64 #s(literal -1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 z (*.f64 t t))) (pow.f64 y #s(literal 4 binary64)))) z) x)) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
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(/ (+ x (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) y) |
(/.f64 (+.f64 x (/.f64 #s(literal 0 binary64) y)) y) |
(/ (- (+ x (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)))) (* 1/2 (/ (pow x 3) (pow y 2)))) y) |
(/.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y)) (/.f64 #s(literal 0 binary64) y)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y))))) y) |
(/ (- (+ x (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))))) (+ (* -1/2 (/ (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (pow y 3))) (+ (* 1/4 (/ (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2))) (pow y 3))) (* 1/2 (/ (pow x 3) (pow y 2)))))) y) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/12 binary64))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)))) (*.f64 y (*.f64 y y))) (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y)) (/.f64 #s(literal 0 binary64) y))) (-.f64 x (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (*.f64 y (*.f64 y y))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y)) (/.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))))))) y) |
(/ x y) |
(/.f64 x y) |
(* -1 (/ (+ (* -1 x) (* -1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) y)) |
(/.f64 (+.f64 x (/.f64 #s(literal 0 binary64) y)) y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (- (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) (* -1/2 (pow x 3))) y)) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) y)) |
(/.f64 (-.f64 (neg.f64 x) (/.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) (neg.f64 y)) y)) (neg.f64 y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (+ (* 1/12 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))))) (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (* 1/2 (* x (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))) y)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))) (* -1/2 (pow x 3))) y)) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) y)) |
(/.f64 (-.f64 (neg.f64 x) (/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/12 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))))) #s(literal 0 binary64)) (*.f64 (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (*.f64 x #s(literal -1/2 binary64)))) (neg.f64 y)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64)))) (neg.f64 y)) y)) (neg.f64 y)) |
| 1× | batch-egg-rewrite |
| 3 852× | lower-*.f32 |
| 3 828× | lower-*.f64 |
| 3 778× | lower-/.f32 |
| 3 766× | lower-/.f64 |
| 3 212× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 422 |
| 0 | 92 | 403 |
| 1 | 376 | 383 |
| 2 | 3256 | 383 |
| 0 | 8231 | 368 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y x) |
(*.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)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)) |
(fma.f64 z (-.f64 t x) x) |
(-.f64 t x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) |
(*.f64 y z) |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) |
(-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) |
(/.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y)) y) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 x (-.f64 (neg.f64 t) (/.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y)) y))) (neg.f64 y))))) |
(/.f64 (+.f64 x (-.f64 (neg.f64 t) (/.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y)) y))) (neg.f64 y)) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) |
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) |
(-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) |
(tanh.f64 (/.f64 x y)) |
(/.f64 (-.f64 t x) y) |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 x (-.f64 (neg.f64 t) (/.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y)) y))) (neg.f64 y))) |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 x (-.f64 (neg.f64 t) (/.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y)) y))) (neg.f64 y)))) |
#s(approx (tanh (/ x y)) (/.f64 x y)) |
| Outputs |
|---|
(+.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y))) |
(+.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)) x) |
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)) #s(literal 2 binary64)) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) (neg.f64 x)))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)))) (/.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)) #s(literal 2 binary64)) (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y))))) |
(fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x) |
(fma.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x) |
(fma.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y x) |
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) x) |
(fma.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x) |
(fma.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) z x) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y))) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)) #s(literal 2 binary64))) (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) (neg.f64 x)) (*.f64 x x)) (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) (neg.f64 x)) (-.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) (/.f64 (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y))) (-.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 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y))) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)) #s(literal 3 binary64))) (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) (neg.f64 x)) (*.f64 x x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y))) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)) #s(literal 2 binary64))) (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)) #s(literal 3 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) (neg.f64 x)) (*.f64 x x)) (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)) #s(literal 3 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) (neg.f64 x)) (-.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) (neg.f64 (/.f64 (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y))) (-.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 (-.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)) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) (neg.f64 x))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)) #s(literal 2 binary64))) (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y))) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) (neg.f64 x)) (*.f64 x x)))) |
(/.f64 (neg.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))) (neg.f64 (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)))) (neg.f64 (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y))) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) (neg.f64 x)) (*.f64 x x))))) |
(/.f64 (neg.f64 (neg.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)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) (neg.f64 x))))) |
(/.f64 (neg.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))))) (neg.f64 (neg.f64 (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)))))) |
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y))) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)) #s(literal 2 binary64))) (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) (neg.f64 x)) (*.f64 x x)) (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) (neg.f64 x)) (-.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))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y))) (-.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)))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y))) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)) #s(literal 2 binary64))))) |
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(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))) |
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(tanh.f64 (/.f64 t y)) |
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(+.f64 (*.f64 z (-.f64 t x)) x) |
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(fma.f64 z (*.f64 y #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) x) |
(fma.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) x) |
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(fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) y x) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x) |
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(tanh.f64 (/.f64 x y)) |
(+.f64 (/.f64 t y) (/.f64 x (neg.f64 y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 t x))) #s(literal -1 binary64))) |
(-.f64 (/.f64 t y) (/.f64 x y)) |
(fma.f64 t (/.f64 #s(literal 1 binary64) y) (/.f64 x (neg.f64 y))) |
(fma.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) y) (/.f64 x (neg.f64 y))) |
(fma.f64 #s(literal 1 binary64) (/.f64 t y) (/.f64 x (neg.f64 y))) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) t (/.f64 x (neg.f64 y))) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) t) #s(literal -1 binary64)) (/.f64 x (neg.f64 y))) |
(fma.f64 #s(literal -1 binary64) (/.f64 t (neg.f64 y)) (/.f64 x (neg.f64 y))) |
(neg.f64 (/.f64 (-.f64 t x) (neg.f64 y))) |
(/.f64 (-.f64 t x) y) |
(/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (-.f64 t x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 y (-.f64 t x))))) |
(/.f64 (neg.f64 (-.f64 t x)) (neg.f64 y)) |
(/.f64 (*.f64 (fma.f64 x (+.f64 t x) (*.f64 t t)) (-.f64 t x)) (*.f64 y (fma.f64 x (+.f64 t x) (*.f64 t t)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (-.f64 t x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 y (-.f64 t x)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x))) |
(/.f64 (-.f64 (neg.f64 t) (neg.f64 x)) (neg.f64 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 (-.f64 (*.f64 t (neg.f64 y)) (*.f64 y (neg.f64 x))) (*.f64 y (neg.f64 y))) |
(/.f64 (-.f64 (*.f64 (neg.f64 t) y) (*.f64 (neg.f64 y) x)) (*.f64 y (neg.f64 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) (neg.f64 y)) (*.f64 (neg.f64 y) (neg.f64 x))) (*.f64 y y)) |
(/.f64 (-.f64 y (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y)) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 y x)) (*.f64 (/.f64 y t) #s(literal 1 binary64))) (*.f64 (/.f64 y t) (/.f64 y x))) |
(/.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 (fma.f64 x (+.f64 t x) (*.f64 t t)) (-.f64 t x)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (+.f64 t x) (*.f64 t t)) y)) |
(/.f64 (*.f64 (*.f64 (+.f64 t x) (-.f64 t x)) #s(literal 1 binary64)) (*.f64 (+.f64 t x) y)) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x (+.f64 t x) (*.f64 t t)) (-.f64 t x))) (neg.f64 (*.f64 y (fma.f64 x (+.f64 t x) (*.f64 t t))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 t x) (-.f64 t x))) (neg.f64 (*.f64 y (+.f64 t x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 t x))) y) |
(/.f64 (-.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (fma.f64 (/.f64 t y) (/.f64 t y) (fma.f64 (/.f64 x y) (/.f64 x y) (*.f64 (/.f64 t y) (/.f64 x y))))) |
(/.f64 (-.f64 (*.f64 (/.f64 t y) (/.f64 t y)) (*.f64 (/.f64 x y) (/.f64 x y))) (+.f64 (/.f64 t y) (/.f64 x y))) |
(/.f64 (*.f64 (-.f64 t x) #s(literal 1 binary64)) y) |
(/.f64 (*.f64 (*.f64 (fma.f64 x (+.f64 t x) (*.f64 t t)) (-.f64 t x)) (/.f64 #s(literal 1 binary64) y)) (fma.f64 x (+.f64 t x) (*.f64 t t))) |
(/.f64 (*.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (/.f64 #s(literal 1 binary64) y)) (+.f64 t x)) |
(/.f64 (/.f64 (neg.f64 (-.f64 t x)) #s(literal -1 binary64)) y) |
(/.f64 (-.f64 (neg.f64 (neg.f64 t)) x) y) |
(/.f64 (-.f64 (*.f64 t #s(literal 1 binary64)) x) y) |
(/.f64 (-.f64 (/.f64 (neg.f64 t) #s(literal -1 binary64)) x) y) |
(/.f64 (-.f64 t (neg.f64 (neg.f64 x))) y) |
(/.f64 (-.f64 (neg.f64 (neg.f64 t)) (neg.f64 (neg.f64 x))) y) |
(/.f64 (-.f64 (*.f64 t #s(literal 1 binary64)) (neg.f64 (neg.f64 x))) y) |
(/.f64 (-.f64 (/.f64 (neg.f64 t) #s(literal -1 binary64)) (neg.f64 (neg.f64 x))) y) |
(/.f64 (-.f64 t (*.f64 x #s(literal 1 binary64))) y) |
(/.f64 (-.f64 (neg.f64 (neg.f64 t)) (*.f64 x #s(literal 1 binary64))) y) |
(/.f64 (-.f64 (*.f64 t #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64))) y) |
(/.f64 (-.f64 (/.f64 (neg.f64 t) #s(literal -1 binary64)) (*.f64 x #s(literal 1 binary64))) y) |
(/.f64 (-.f64 t (/.f64 (neg.f64 x) #s(literal -1 binary64))) y) |
(/.f64 (-.f64 (neg.f64 (neg.f64 t)) (/.f64 (neg.f64 x) #s(literal -1 binary64))) y) |
(/.f64 (-.f64 (*.f64 t #s(literal 1 binary64)) (/.f64 (neg.f64 x) #s(literal -1 binary64))) y) |
(/.f64 (-.f64 (/.f64 (neg.f64 t) #s(literal -1 binary64)) (/.f64 (neg.f64 x) #s(literal -1 binary64))) y) |
(/.f64 (neg.f64 (-.f64 (neg.f64 t) (neg.f64 x))) y) |
(/.f64 (neg.f64 (-.f64 (*.f64 t y) (*.f64 y x))) (*.f64 y (neg.f64 y))) |
(/.f64 (neg.f64 (-.f64 (*.f64 t (/.f64 y x)) (*.f64 y #s(literal 1 binary64)))) (neg.f64 (*.f64 y (/.f64 y x)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 t (neg.f64 y)) (*.f64 y (neg.f64 x)))) (neg.f64 (*.f64 y (neg.f64 y)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (neg.f64 t) y) (*.f64 (neg.f64 y) x))) (neg.f64 (*.f64 y (neg.f64 y)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (neg.f64 t) (/.f64 y x)) (*.f64 (neg.f64 y) #s(literal 1 binary64)))) (neg.f64 (*.f64 (neg.f64 y) (/.f64 y x)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (neg.f64 t) (neg.f64 y)) (*.f64 (neg.f64 y) (neg.f64 x)))) (*.f64 y (neg.f64 y))) |
(/.f64 (neg.f64 (-.f64 y (*.f64 (/.f64 y t) x))) (neg.f64 (*.f64 (/.f64 y t) y))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 y x)) (*.f64 (/.f64 y t) #s(literal 1 binary64)))) (neg.f64 (*.f64 (/.f64 y t) (/.f64 y x)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 (/.f64 y t) (neg.f64 x)))) (neg.f64 (*.f64 (/.f64 y t) (neg.f64 y)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 x (+.f64 t x) (*.f64 t t)) (-.f64 t x)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 x (+.f64 t x) (*.f64 t t)) y))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 t x) (-.f64 t x)) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 t x) y))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 t x)))) (neg.f64 y)) |
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (neg.f64 (fma.f64 (/.f64 t y) (/.f64 t y) (fma.f64 (/.f64 x y) (/.f64 x y) (*.f64 (/.f64 t y) (/.f64 x y)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 t y) (/.f64 t y)) (*.f64 (/.f64 x y) (/.f64 x y)))) (neg.f64 (+.f64 (/.f64 t y) (/.f64 x y)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 t x) #s(literal 1 binary64))) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 x (+.f64 t x) (*.f64 t t)) (-.f64 t x)) (/.f64 #s(literal 1 binary64) y))) (neg.f64 (fma.f64 x (+.f64 t x) (*.f64 t t)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (/.f64 #s(literal 1 binary64) y))) (neg.f64 (+.f64 t x))) |
(/.f64 (neg.f64 (/.f64 (neg.f64 (-.f64 t x)) #s(literal -1 binary64))) (neg.f64 y)) |
(pow.f64 (/.f64 y (-.f64 t x)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 y (-.f64 t x)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 (-.f64 t x) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 t x) y)) |
(*.f64 (neg.f64 (-.f64 t x)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 t x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 y (*.f64 (fma.f64 x (+.f64 t x) (*.f64 t t)) (-.f64 t x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 t x) (*.f64 t t)))) |
(*.f64 (pow.f64 (/.f64 y (*.f64 (+.f64 t x) (-.f64 t x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 t x))) |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (-.f64 x t) (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))) (*.f64 y (neg.f64 y)))) (neg.f64 y))) |
(*.f64 z (*.f64 y #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (-.f64 x t) (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))) (*.f64 y (neg.f64 y)))) (neg.f64 y))))) |
(*.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (-.f64 x t) (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))) (*.f64 y (neg.f64 y)))) (neg.f64 y))))) |
(*.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (-.f64 x t) (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))) (*.f64 y (neg.f64 y)))) (neg.f64 y)))) |
(*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (-.f64 x t) (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))) (*.f64 y (neg.f64 y)))) (neg.f64 y))) (*.f64 z y)) |
(*.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (-.f64 x t) (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))) (*.f64 y (neg.f64 y)))) (neg.f64 y)))) y) |
(*.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (-.f64 x t) (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))) (*.f64 y (neg.f64 y)))) (neg.f64 y))) y) z) |
#s(approx (tanh (/ x y)) (/.f64 x y)) |
Compiled 65 318 to 3 518 computations (94.6% saved)
31 alts after pruning (28 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 519 | 26 | 1 545 |
| Fresh | 4 | 2 | 6 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 525 | 31 | 1 556 |
| Status | Accuracy | Program |
|---|---|---|
| 66.6% | (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 z y) x) | |
| 54.7% | (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x) | |
| ✓ | 97.3% | (fma.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y x) |
| 71.4% | (fma.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) y x) | |
| 37.3% | (fma.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (*.f64 x (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) y)))))) y x) | |
| 66.9% | (fma.f64 (*.f64 z (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y x) | |
| ▶ | 53.8% | (fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) y x) |
| 49.5% | (fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x) | |
| ▶ | 88.4% | (+.f64 x (fma.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)) (neg.f64 (*.f64 (*.f64 y z) (tanh.f64 (/.f64 x y)))))) |
| 44.0% | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 (-.f64 (neg.f64 x) (/.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) (neg.f64 y)) y)) (neg.f64 y)))))) | |
| ✓ | 66.6% | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) |
| 63.6% | (+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))) | |
| 29.9% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 y (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y))))) | |
| 24.9% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x)))))) | |
| 34.3% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 t x))) y)))) | |
| 47.4% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))) | |
| ▶ | 49.5% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x)))))) |
| 49.5% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))))) | |
| 56.0% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))))) | |
| 43.0% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 x (+.f64 (/.f64 t (*.f64 x y)) (/.f64 #s(literal -1 binary64) y))))))) | |
| ▶ | 29.4% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (+ x (- (neg t) (/ (/ (- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6)) (neg y)) y))) (neg y)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y y)) t) y))))) |
| 13.0% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (+ x (- (neg t) (/ (/ (- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6)) (neg y)) y))) (neg y)) (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) (*.f64 y (*.f64 y y))))))) | |
| 26.3% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (*.f64 (fma.f64 x (+.f64 t x) (*.f64 t t)) (-.f64 t x)) (fma.f64 x (+.f64 t x) (*.f64 t t))) x)) | |
| 43.5% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (+.f64 t x)) x)) | |
| ✓ | 65.2% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)) |
| 43.5% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 t x))) x)) | |
| 57.7% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (neg.f64 x)) x)) | |
| 19.4% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 z (-.f64 t x)) (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x)))))) (fma.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))) (*.f64 x (-.f64 x (*.f64 z (-.f64 t x))))))) | |
| 26.4% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))) | |
| 50.9% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (+.f64 t (-.f64 (/.f64 x z) x))))) | |
| ▶ | 18.4% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) |
Compiled 1 216 to 640 computations (47.4% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (+ x (- (neg t) (/ (/ (- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6)) (neg y)) y))) (neg y)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y y)) t) y))) |
| ✓ | cost-diff | 0 | (*.f64 y z) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (+ x (- (neg t) (/ (/ (- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6)) (neg y)) y))) (neg y)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y y)) t) y)))) |
| ✓ | cost-diff | 128 | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (+ x (- (neg t) (/ (/ (- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6)) (neg y)) y))) (neg y)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y y)) t) y))))) |
| ✓ | cost-diff | 0 | (*.f64 y z) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x))))) |
| ✓ | cost-diff | 128 | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x)))))) |
| ✓ | cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x))) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 t x) y) |
| ✓ | cost-diff | 0 | #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) |
| ✓ | cost-diff | 0 | (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) y x) |
| ✓ | cost-diff | 0 | (*.f64 z t) |
| ✓ | cost-diff | 0 | #s(approx (+ (* z (- t x)) x) (*.f64 z t)) |
| ✓ | cost-diff | 0 | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) |
| ✓ | cost-diff | 0 | (tanh.f64 (/.f64 t y)) |
| ✓ | cost-diff | 0 | (*.f64 y z) |
| ✓ | cost-diff | 128 | (+.f64 x (fma.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)) (neg.f64 (*.f64 (*.f64 y z) (tanh.f64 (/.f64 x y)))))) |
| ✓ | cost-diff | 640 | (fma.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)) (neg.f64 (*.f64 (*.f64 y z) (tanh.f64 (/.f64 x y))))) |
| 6 078× | lower-fma.f32 |
| 6 072× | lower-fma.f64 |
| 4 070× | lower-*.f32 |
| 4 052× | lower-*.f64 |
| 1 682× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 69 | 563 |
| 0 | 98 | 516 |
| 1 | 233 | 504 |
| 2 | 625 | 474 |
| 3 | 1761 | 470 |
| 4 | 6377 | 470 |
| 0 | 8608 | 461 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (fma.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)) (neg.f64 (*.f64 (*.f64 y z) (tanh.f64 (/.f64 x y)))))) |
x |
(fma.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)) (neg.f64 (*.f64 (*.f64 y z) (tanh.f64 (/.f64 x y))))) |
(*.f64 y z) |
y |
z |
(tanh.f64 (/.f64 t y)) |
(/.f64 t y) |
t |
(neg.f64 (*.f64 (*.f64 y z) (tanh.f64 (/.f64 x y)))) |
(*.f64 (*.f64 y z) (tanh.f64 (/.f64 x y))) |
(tanh.f64 (/.f64 x y)) |
(/.f64 x y) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) |
#s(approx (+ (* z (- t x)) x) (*.f64 z t)) |
(*.f64 z t) |
z |
t |
(fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) y x) |
(*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) |
z |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) |
(/.f64 (-.f64 t x) y) |
(-.f64 t x) |
t |
x |
y |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x)))))) |
x |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x))))) |
(*.f64 y z) |
y |
z |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x))) |
#s(literal 1 binary64) |
(/.f64 y (-.f64 t x)) |
(-.f64 t x) |
t |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (+ x (- (neg t) (/ (/ (- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6)) (neg y)) y))) (neg y)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y y)) t) y))))) |
x |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (+ x (- (neg t) (/ (/ (- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6)) (neg y)) y))) (neg y)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y y)) t) y)))) |
(*.f64 y z) |
y |
z |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (+ x (- (neg t) (/ (/ (- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6)) (neg y)) y))) (neg y)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y y)) t) y))) |
#s(approx (/ (+ x (- (neg t) (/ (/ (- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6)) (neg y)) y))) (neg y)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y y)) t) y)) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y y)) t) y) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y y)) t) |
#s(literal -1/3 binary64) |
(/.f64 (*.f64 t (*.f64 t t)) (*.f64 y y)) |
(*.f64 t (*.f64 t t)) |
t |
(*.f64 t t) |
(*.f64 y y) |
| Outputs |
|---|
(+.f64 x (fma.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)) (neg.f64 (*.f64 (*.f64 y z) (tanh.f64 (/.f64 x y)))))) |
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x) |
x |
(fma.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)) (neg.f64 (*.f64 (*.f64 y z) (tanh.f64 (/.f64 x y))))) |
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
(*.f64 y z) |
y |
z |
(tanh.f64 (/.f64 t y)) |
(/.f64 t y) |
t |
(neg.f64 (*.f64 (*.f64 y z) (tanh.f64 (/.f64 x y)))) |
(*.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y))) |
(*.f64 (*.f64 y z) (tanh.f64 (/.f64 x y))) |
(tanh.f64 (/.f64 x y)) |
(/.f64 x y) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) |
#s(approx (+ (* z (- t x)) x) (*.f64 z t)) |
(*.f64 z t) |
z |
t |
(fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) y x) |
(fma.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x) |
(*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) |
z |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) |
(/.f64 (-.f64 t x) y) |
(-.f64 t x) |
t |
x |
y |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x)))))) |
(fma.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x) |
x |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x))))) |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) |
(*.f64 y z) |
y |
z |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x)))) |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x))) |
(/.f64 (-.f64 t x) y) |
#s(literal 1 binary64) |
(/.f64 y (-.f64 t x)) |
(-.f64 t x) |
t |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (+ x (- (neg t) (/ (/ (- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6)) (neg y)) y))) (neg y)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y y)) t) y))))) |
(fma.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (+ x (- (neg t) (/ (/ (- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6)) (neg y)) y))) (neg y)) (/.f64 (fma.f64 (*.f64 t t) (*.f64 t (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) t) y))) x) |
x |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (+ x (- (neg t) (/ (/ (- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6)) (neg y)) y))) (neg y)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y y)) t) y)))) |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (+ x (- (neg t) (/ (/ (- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6)) (neg y)) y))) (neg y)) (/.f64 (fma.f64 (*.f64 t t) (*.f64 t (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) t) y)))) |
(*.f64 y z) |
y |
z |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (+ x (- (neg t) (/ (/ (- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6)) (neg y)) y))) (neg y)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y y)) t) y))) |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (+ x (- (neg t) (/ (/ (- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6)) (neg y)) y))) (neg y)) (/.f64 (fma.f64 (*.f64 t t) (*.f64 t (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) t) y))) |
#s(approx (/ (+ x (- (neg t) (/ (/ (- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6)) (neg y)) y))) (neg y)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y y)) t) y)) |
#s(approx (/ (+ x (- (neg t) (/ (/ (- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6)) (neg y)) y))) (neg y)) (/.f64 (fma.f64 (*.f64 t t) (*.f64 t (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) t) y)) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y y)) t) y) |
(/.f64 (fma.f64 (*.f64 t t) (*.f64 t (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) t) y) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y y)) t) |
(fma.f64 (*.f64 t t) (*.f64 t (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) t) |
#s(literal -1/3 binary64) |
(/.f64 (*.f64 t (*.f64 t t)) (*.f64 y y)) |
(*.f64 t (*.f64 t t)) |
t |
(*.f64 t t) |
(*.f64 y y) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 91.9% | (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (+ x (- (neg t) (/ (/ (- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6)) (neg y)) y))) (neg y)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y y)) t) y)))) |
| ✓ | accuracy | 72.6% | (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y y)) |
| ✓ | accuracy | 58.0% | #s(approx (/ (+ x (- (neg t) (/ (/ (- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6)) (neg y)) y))) (neg y)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y y)) t) y)) |
| ✓ | accuracy | 31.2% | #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (+ x (- (neg t) (/ (/ (- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6)) (neg y)) y))) (neg y)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y y)) t) y))) |
| ✓ | accuracy | 100.0% | (/.f64 y (-.f64 t x)) |
| ✓ | accuracy | 99.3% | (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x))) |
| ✓ | accuracy | 91.9% | (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x))))) |
| ✓ | accuracy | 33.3% | #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x)))) |
| ✓ | accuracy | 100.0% | (/.f64 (-.f64 t x) y) |
| ✓ | accuracy | 99.1% | (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) |
| ✓ | accuracy | 98.1% | (fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) y x) |
| ✓ | accuracy | 33.3% | #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) |
| ✓ | accuracy | 100.0% | (*.f64 z t) |
| ✓ | accuracy | 65.2% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) |
| ✓ | accuracy | 41.1% | #s(approx (+ (* z (- t x)) x) (*.f64 z t)) |
| ✓ | accuracy | 100.0% | (tanh.f64 (/.f64 x y)) |
| ✓ | accuracy | 100.0% | (tanh.f64 (/.f64 t y)) |
| ✓ | accuracy | 90.4% | (fma.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)) (neg.f64 (*.f64 (*.f64 y z) (tanh.f64 (/.f64 x y))))) |
| ✓ | accuracy | 88.9% | (*.f64 (*.f64 y z) (tanh.f64 (/.f64 x y))) |
| 116.0ms | 213× | 0 | valid |
| 38.0ms | 40× | 2 | valid |
| 2.0ms | 2× | 3 | valid |
| 1.0ms | 1× | 1 | valid |
Compiled 341 to 57 computations (83.3% saved)
ival-mult: 53.0ms (41.8% of total)ival-div: 33.0ms (26% of total)const: 10.0ms (7.9% of total)ival-add: 10.0ms (7.9% of total)adjust: 7.0ms (5.5% of total)ival-sub: 5.0ms (3.9% of total)ival-tanh: 4.0ms (3.2% of total)ival-neg: 3.0ms (2.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (fma.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)) (neg.f64 (*.f64 (*.f64 y z) (tanh.f64 (/.f64 x y)))))> |
#<alt (+.f64 x (fma.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)) (neg.f64 (*.f64 (*.f64 y z) (tanh.f64 (/.f64 x y))))))> |
#<alt (*.f64 y z)> |
#<alt (tanh.f64 (/.f64 t y))> |
#<alt #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t)))> |
#<alt #s(approx (+ (* z (- t x)) x) (*.f64 z t))> |
#<alt (*.f64 z t)> |
#<alt (fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) y x)> |
#<alt (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))> |
#<alt #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))> |
#<alt (/.f64 (-.f64 t x) y)> |
#<alt (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x)))> |
#<alt (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x))))))> |
#<alt (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x)))))> |
#<alt (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (+ x (- (neg t) (/ (/ (- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6)) (neg y)) y))) (neg y)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y y)) t) y)))))> |
#<alt (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (+ x (- (neg t) (/ (/ (- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6)) (neg y)) y))) (neg y)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y y)) t) y))))> |
#<alt #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (+ x (- (neg t) (/ (/ (- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6)) (neg y)) y))) (neg y)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y y)) t) y)))> |
#<alt (*.f64 (*.f64 y z) (tanh.f64 (/.f64 x y)))> |
#<alt (tanh.f64 (/.f64 x y))> |
#<alt #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x))))> |
#<alt (/.f64 y (-.f64 t x))> |
#<alt #s(approx (/ (+ x (- (neg t) (/ (/ (- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6)) (neg y)) y))) (neg y)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y y)) t) y))> |
#<alt (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y y))> |
| Outputs |
|---|
#<alt (* y (- (/ (* z (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ (* z (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))> |
#<alt (* y (- (/ (* z (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ (* z (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))> |
#<alt (* y (- (/ (* z (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ (* z (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))> |
#<alt (* y (- (/ (* z (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ (* z (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))> |
#<alt (- (* t z) (* x z))> |
#<alt (- (+ (* 1/2 (/ (* z (+ (* -1 (pow t 2)) (pow t 2))) y)) (* t z)) (+ (* 1/2 (/ (* z (+ (* -1 (pow x 2)) (pow x 2))) y)) (* x z)))> |
#<alt (- (+ (* 1/2 (/ (* z (+ (* -1 (pow t 2)) (pow t 2))) y)) (+ (* t z) (/ (* z (- (* 1/2 (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3))))) (* 1/2 (pow t 3)))) (pow y 2)))) (+ (* 1/2 (/ (* z (+ (* -1 (pow x 2)) (pow x 2))) y)) (+ (* x z) (/ (* z (- (* 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 x 3)))) (pow y 2)))))> |
#<alt (- (+ (* 1/2 (/ (* z (+ (* -1 (pow t 2)) (pow t 2))) y)) (+ (* t z) (+ (/ (* z (- (* 1/2 (+ (* -1 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/6 (pow t 3)))))) (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (* 1/12 (pow t 4)))))) (+ (* -1/2 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (* -1/2 (pow t 3))))) (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2))))))) (pow y 3)) (/ (* z (- (* 1/2 (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3))))) (* 1/2 (pow t 3)))) (pow y 2))))) (+ (* 1/2 (/ (* z (+ (* -1 (pow x 2)) (pow x 2))) y)) (+ (* x z) (+ (/ (* z (- (* 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)))))) (+ (* -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))))))) (pow y 3)) (/ (* z (- (* 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 x 3)))) (pow y 2))))))> |
#<alt (- (* t z) (* x z))> |
#<alt (- (+ (* -1 (/ (- (* -1/2 (* z (+ (* -1 (pow t 2)) (pow t 2)))) (* -1/2 (* z (+ (* -1 (pow x 2)) (pow x 2))))) y)) (* t z)) (* x z))> |
#<alt (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1 (* z (- (* 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 (* z (- (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) (* -1/2 (pow x 3)))))) y)) (* -1/2 (* z (+ (* -1 (pow t 2)) (pow t 2))))) (* -1/2 (* z (+ (* -1 (pow x 2)) (pow x 2))))) y)) (* t z)) (* x z))> |
#<alt (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (* z (- (* 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 (/ (- (* -1 (* z (- (* 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 (* z (- (* 1/2 (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (+ (* 1/12 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))))) (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (* 1/2 (* x (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))))))) y))) (* -1 (* z (- (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) (* -1/2 (pow x 3)))))) y)) (* -1/2 (* z (+ (* -1 (pow t 2)) (pow t 2))))) (* -1/2 (* z (+ (* -1 (pow x 2)) (pow x 2))))) y)) (* t z)) (* x z))> |
#<alt (* z (- (* y (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))) (* y (- (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (* z (- (* y (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))) (* y (- (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (* z (- (* y (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))) (* y (- (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (* z (- (* y (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))) (* y (- (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (* z (- (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))> |
#<alt (* z (- (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))> |
#<alt (* z (- (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))> |
#<alt (* z (- (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))> |
#<alt (* -1 (* z (- (* -1 (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* -1 (* z (- (* -1 (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* -1 (* z (- (* -1 (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* -1 (* z (- (* -1 (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* -1 (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))> |
#<alt (- (* t z) (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))> |
#<alt (- (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))> |
#<alt (- (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))> |
#<alt (- (/ (* y (* z (- (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))> |
#<alt (- (/ (* y (* z (- (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))> |
#<alt (- (/ (* y (* z (- (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))> |
#<alt (- (/ (* y (* z (- (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))> |
#<alt (- (/ (* y (* z (- (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))> |
#<alt (- (/ (* y (* z (- (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))> |
#<alt (- (/ (* y (* z (- (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))> |
#<alt (- (/ (* y (* z (- (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))> |
#<alt (/ (* y (* z (- (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))> |
#<alt (+ (* -1 (* x z)) (/ (* y (* z (- (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))> |
#<alt (+ (* x (- (* 1/3 (/ (* (pow x 2) z) (pow y 2))) z)) (/ (* y (* z (- (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))> |
#<alt (+ (* x (- (* (pow x 2) (- (* -2/15 (/ (* (pow x 2) z) (pow y 4))) (* -1/3 (/ z (pow y 2))))) z)) (/ (* y (* z (- (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))> |
#<alt (- (/ (* y (* z (- (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))> |
#<alt (- (/ (* y (* z (- (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))> |
#<alt (- (/ (* y (* z (- (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))> |
#<alt (- (/ (* y (* z (- (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))> |
#<alt (- (/ (* y (* z (- (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))> |
#<alt (- (/ (* y (* z (- (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))> |
#<alt (- (/ (* y (* z (- (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))> |
#<alt (- (/ (* y (* z (- (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))> |
#<alt (/ (* y (* z (- (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))> |
#<alt (+ (* x (- 1 z)) (/ (* y (* z (- (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))> |
#<alt (+ (* x (- (+ 1 (* 1/3 (/ (* (pow x 2) z) (pow y 2)))) z)) (/ (* y (* z (- (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))> |
#<alt (+ (* x (- (+ 1 (* (pow x 2) (- (* -2/15 (/ (* (pow x 2) z) (pow y 4))) (* -1/3 (/ z (pow y 2)))))) z)) (/ (* y (* z (- (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))> |
#<alt x> |
#<alt (* x (- (+ 1 (/ (* y (* z (- (exp (/ t y)) (/ 1 (exp (/ t y)))))) (* x (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))) (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (* x (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))> |
#<alt (* x (- (+ 1 (/ (* y (* z (- (exp (/ t y)) (/ 1 (exp (/ t y)))))) (* x (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))) (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (* x (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))> |
#<alt (* x (- (+ 1 (/ (* y (* z (- (exp (/ t y)) (/ 1 (exp (/ t y)))))) (* x (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))) (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (* x (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (- (/ (* y (* z (- (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (/ (* y (* z (- (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (/ (* y (* z (- (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) x)) 1)))> |
#<alt x> |
#<alt (+ x (* y (- (/ (* z (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ (* z (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))> |
#<alt (+ x (* y (- (/ (* z (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ (* z (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))> |
#<alt (+ x (* y (- (/ (* z (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ (* z (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))> |
#<alt (- (+ x (* t z)) (* x z))> |
#<alt (- (+ x (+ (* 1/2 (/ (* z (+ (* -1 (pow t 2)) (pow t 2))) y)) (* t z))) (+ (* 1/2 (/ (* z (+ (* -1 (pow x 2)) (pow x 2))) y)) (* x z)))> |
#<alt (- (+ x (+ (* 1/2 (/ (* z (+ (* -1 (pow t 2)) (pow t 2))) y)) (+ (* t z) (/ (* z (- (* 1/2 (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3))))) (* 1/2 (pow t 3)))) (pow y 2))))) (+ (* 1/2 (/ (* z (+ (* -1 (pow x 2)) (pow x 2))) y)) (+ (* x z) (/ (* z (- (* 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 x 3)))) (pow y 2)))))> |
#<alt (- (+ x (+ (* 1/2 (/ (* z (+ (* -1 (pow t 2)) (pow t 2))) y)) (+ (* t z) (+ (/ (* z (- (* 1/2 (+ (* -1 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/6 (pow t 3)))))) (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (* 1/12 (pow t 4)))))) (+ (* -1/2 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (* -1/2 (pow t 3))))) (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2))))))) (pow y 3)) (/ (* z (- (* 1/2 (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3))))) (* 1/2 (pow t 3)))) (pow y 2)))))) (+ (* 1/2 (/ (* z (+ (* -1 (pow x 2)) (pow x 2))) y)) (+ (* x z) (+ (/ (* z (- (* 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)))))) (+ (* -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))))))) (pow y 3)) (/ (* z (- (* 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 x 3)))) (pow y 2))))))> |
#<alt (- (+ x (* t z)) (* x z))> |
#<alt (- (+ x (+ (* -1 (/ (- (* -1/2 (* z (+ (* -1 (pow t 2)) (pow t 2)))) (* -1/2 (* z (+ (* -1 (pow x 2)) (pow x 2))))) y)) (* t z))) (* x z))> |
#<alt (- (+ x (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1 (* z (- (* 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 (* z (- (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) (* -1/2 (pow x 3)))))) y)) (* -1/2 (* z (+ (* -1 (pow t 2)) (pow t 2))))) (* -1/2 (* z (+ (* -1 (pow x 2)) (pow x 2))))) y)) (* t z))) (* x z))> |
#<alt (- (+ x (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (* z (- (* 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 (/ (- (* -1 (* z (- (* 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 (* z (- (* 1/2 (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (+ (* 1/12 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))))) (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (* 1/2 (* x (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))))))) y))) (* -1 (* z (- (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) (* -1/2 (pow x 3)))))) y)) (* -1/2 (* z (+ (* -1 (pow t 2)) (pow t 2))))) (* -1/2 (* z (+ (* -1 (pow x 2)) (pow x 2))))) y)) (* t z))) (* x z))> |
#<alt x> |
#<alt (+ x (* z (- (* y (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))) (* y (- (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))))> |
#<alt (+ x (* z (- (* y (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))) (* y (- (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))))> |
#<alt (+ x (* z (- (* y (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))) (* y (- (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))))> |
#<alt (* z (- (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))> |
#<alt (* z (- (+ (/ x z) (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))> |
#<alt (* z (- (+ (/ x z) (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))> |
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#<alt (- (+ x (/ (* y (* z (- (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))> |
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#<alt (- (+ x (/ (* y (* z (- (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
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#<alt x> |
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#<alt x> |
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#<alt x> |
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#<alt x> |
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#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* 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)))> |
#<alt (* 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)))> |
#<alt (* 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)))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
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#<alt (* -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)))))> |
#<alt (+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
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#<alt (+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
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#<alt x> |
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#<alt x> |
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#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* z (- t x))> |
#<alt (+ (* 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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#<alt (* -1 (* z (- (* -1 t) (* -1 x))))> |
#<alt (+ (* -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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#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))> |
#<alt (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))> |
#<alt (+ (* -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))))))))))> |
#<alt (+ (* 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))))))))))> |
#<alt (+ (* 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))))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))> |
#<alt (+ (* x (+ 1 (* -1 z))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))> |
#<alt (+ (* x (+ 1 (+ (* -1 z) (* 1/3 (/ (* (pow x 2) z) (pow y 2)))))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))> |
#<alt (+ (* x (+ 1 (+ (* -1 z) (* (pow x 2) (+ (* -2/15 (/ (* (pow x 2) z) (pow y 4))) (* 1/3 (/ z (pow y 2)))))))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))> |
#<alt x> |
#<alt (* x (+ 1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)))> |
#<alt (* x (+ 1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)))> |
#<alt (* x (+ 1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1)))> |
#<alt x> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
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#<alt (+ x (* z (- t x)))> |
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#<alt x> |
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#<alt (* z (- t x))> |
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#<alt (* -1 (* z (- (* -1 t) (* -1 x))))> |
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#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* 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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#<alt (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
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#<alt (+ (* -1 (/ (- x (* -1 (/ (- (* -1/2 (pow x 3)) (* -1/6 (pow x 3))) (pow y 2)))) y)) (* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y))))> |
#<alt (+ (* -1 (/ (- x (* -1 (/ (- (* -1/2 (pow x 3)) (* -1/6 (pow x 3))) (pow y 2)))) y)) (* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y))))> |
#<alt (* -1/3 (/ (pow t 3) (pow y 3)))> |
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#<alt (* (pow t 3) (- (+ (* -1 (/ (- (/ x y) (* -1 (/ (- (* -1/2 (/ (pow x 3) (pow y 2))) (* -1/6 (/ (pow x 3) (pow y 2)))) y))) (pow t 3))) (/ 1 (* (pow t 2) y))) (* 1/3 (/ 1 (pow y 3)))))> |
#<alt (* -1/3 (/ (pow t 3) (pow y 3)))> |
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#<alt (/ (pow t 3) (pow y 2))> |
#<alt (/ (pow t 3) (pow y 2))> |
#<alt (/ (pow t 3) (pow y 2))> |
#<alt (/ (pow t 3) (pow y 2))> |
#<alt (/ (pow t 3) (pow y 2))> |
#<alt (/ (pow t 3) (pow y 2))> |
#<alt (/ (pow t 3) (pow y 2))> |
#<alt (/ (pow t 3) (pow y 2))> |
#<alt (/ (pow t 3) (pow y 2))> |
#<alt (/ (pow t 3) (pow y 2))> |
#<alt (/ (pow t 3) (pow y 2))> |
#<alt (/ (pow t 3) (pow y 2))> |
#<alt (/ (pow t 3) (pow y 2))> |
#<alt (/ (pow t 3) (pow y 2))> |
#<alt (/ (pow t 3) (pow y 2))> |
#<alt (/ (pow t 3) (pow y 2))> |
#<alt (/ (pow t 3) (pow y 2))> |
#<alt (/ (pow t 3) (pow y 2))> |
#<alt (/ (pow t 3) (pow y 2))> |
#<alt (/ (pow t 3) (pow y 2))> |
#<alt (/ (pow t 3) (pow y 2))> |
#<alt (/ (pow t 3) (pow y 2))> |
219 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | t | @ | 0 | (+ (* (* y z) (tanh (/ t y))) (neg (* (* y z) (tanh (/ x y))))) |
| 2.0ms | x | @ | inf | (/ y (- t x)) |
| 2.0ms | y | @ | inf | (+ (* (* y z) (tanh (/ t y))) (neg (* (* y z) (tanh (/ x y))))) |
| 2.0ms | y | @ | 0 | (+ (* (* y z) (tanh (/ t y))) (neg (* (* y z) (tanh (/ x y))))) |
| 2.0ms | y | @ | -inf | (+ (* (* y z) (tanh (/ t y))) (neg (* (* y z) (tanh (/ x y))))) |
| 1× | egg-herbie |
| 11 334× | lower-fma.f64 |
| 11 334× | lower-fma.f32 |
| 6 596× | lower-+.f64 |
| 6 596× | lower-+.f32 |
| 5 226× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1012 | 38883 |
| 1 | 3360 | 33972 |
| 0 | 9143 | 33176 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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x |
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(* -1 (* x (- (* -1 (/ (- (/ (* y (* z (- (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) x)) 1))) |
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x |
(+ x (* y (- (/ (* z (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ (* z (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) |
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(* (pow t 3) (- (/ 1 (* (pow t 2) y)) (* 1/3 (/ 1 (pow y 3))))) |
(* (pow t 3) (- (+ (* -1 (/ (- (/ x y) (* -1 (/ (- (* -1/2 (/ (pow x 3) (pow y 2))) (* -1/6 (/ (pow x 3) (pow y 2)))) y))) (pow t 3))) (/ 1 (* (pow t 2) y))) (* 1/3 (/ 1 (pow y 3))))) |
(* (pow t 3) (- (+ (* -1 (/ (- (/ x y) (* -1 (/ (- (* -1/2 (/ (pow x 3) (pow y 2))) (* -1/6 (/ (pow x 3) (pow y 2)))) y))) (pow t 3))) (/ 1 (* (pow t 2) y))) (* 1/3 (/ 1 (pow y 3))))) |
(* -1/3 (/ (pow t 3) (pow y 3))) |
(* -1 (* (pow t 3) (- (* 1/3 (/ 1 (pow y 3))) (/ 1 (* (pow t 2) y))))) |
(* -1 (* (pow t 3) (- (+ (* 1/3 (/ 1 (pow y 3))) (/ x (* (pow t 3) y))) (+ (* -1 (/ (- (* -1/2 (/ (pow x 3) (pow y 2))) (* -1/6 (/ (pow x 3) (pow y 2)))) (* (pow t 3) y))) (/ 1 (* (pow t 2) y)))))) |
(* -1 (* (pow t 3) (- (+ (* 1/3 (/ 1 (pow y 3))) (/ x (* (pow t 3) y))) (+ (* -1 (/ (- (* -1/2 (/ (pow x 3) (pow y 2))) (* -1/6 (/ (pow x 3) (pow y 2)))) (* (pow t 3) y))) (/ 1 (* (pow t 2) y)))))) |
(* -1 (/ (- (+ (* -1/2 (pow x 3)) (* 1/3 (pow t 3))) (* -1/6 (pow x 3))) (pow y 3))) |
(/ (+ (* -1 (* (pow y 2) (- x t))) (* -1 (- (+ (* -1/2 (pow x 3)) (* 1/3 (pow t 3))) (* -1/6 (pow x 3))))) (pow y 3)) |
(/ (+ (* -1 (* (pow y 2) (- x t))) (* -1 (- (+ (* -1/2 (pow x 3)) (* 1/3 (pow t 3))) (* -1/6 (pow x 3))))) (pow y 3)) |
(/ (+ (* -1 (* (pow y 2) (- x t))) (* -1 (- (+ (* -1/2 (pow x 3)) (* 1/3 (pow t 3))) (* -1/6 (pow x 3))))) (pow y 3)) |
(* -1 (/ (- x t) y)) |
(/ (+ (* -1 (- x t)) (* -1 (/ (- (+ (* -1/2 (pow x 3)) (* 1/3 (pow t 3))) (* -1/6 (pow x 3))) (pow y 2)))) y) |
(/ (+ (* -1 (- x t)) (* -1 (/ (- (+ (* -1/2 (pow x 3)) (* 1/3 (pow t 3))) (* -1/6 (pow x 3))) (pow y 2)))) y) |
(/ (+ (* -1 (- x t)) (* -1 (/ (- (+ (* -1/2 (pow x 3)) (* 1/3 (pow t 3))) (* -1/6 (pow x 3))) (pow y 2)))) y) |
(* -1 (/ (- x t) y)) |
(* -1 (/ (- (+ x (+ (* -1/2 (/ (pow x 3) (pow y 2))) (* 1/3 (/ (pow t 3) (pow y 2))))) (+ t (* -1/6 (/ (pow x 3) (pow y 2))))) y)) |
(* -1 (/ (- (+ x (+ (* -1/2 (/ (pow x 3) (pow y 2))) (* 1/3 (/ (pow t 3) (pow y 2))))) (+ t (* -1/6 (/ (pow x 3) (pow y 2))))) y)) |
(* -1 (/ (- (+ x (+ (* -1/2 (/ (pow x 3) (pow y 2))) (* 1/3 (/ (pow t 3) (pow y 2))))) (+ t (* -1/6 (/ (pow x 3) (pow y 2))))) y)) |
(/ (pow t 3) (pow y 2)) |
(/ (pow t 3) (pow y 2)) |
(/ (pow t 3) (pow y 2)) |
(/ (pow t 3) (pow y 2)) |
(/ (pow t 3) (pow y 2)) |
(/ (pow t 3) (pow y 2)) |
(/ (pow t 3) (pow y 2)) |
(/ (pow t 3) (pow y 2)) |
(/ (pow t 3) (pow y 2)) |
(/ (pow t 3) (pow y 2)) |
(/ (pow t 3) (pow y 2)) |
(/ (pow t 3) (pow y 2)) |
(/ (pow t 3) (pow y 2)) |
(/ (pow t 3) (pow y 2)) |
(/ (pow t 3) (pow y 2)) |
(/ (pow t 3) (pow y 2)) |
(/ (pow t 3) (pow y 2)) |
(/ (pow t 3) (pow y 2)) |
(/ (pow t 3) (pow y 2)) |
(/ (pow t 3) (pow y 2)) |
(/ (pow t 3) (pow y 2)) |
(/ (pow t 3) (pow y 2)) |
(/ (pow t 3) (pow y 2)) |
(/ (pow t 3) (pow y 2)) |
| Outputs |
|---|
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(- (* t z) (* x z)) |
(*.f64 z (-.f64 t x)) |
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(- (* t z) (* x z)) |
(*.f64 z (-.f64 t x)) |
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(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 y y))) (/.f64 t (*.f64 y (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 x x)))))) |
(* (pow x 3) (- (+ (* -1/3 (/ (pow t 3) (* (pow x 3) (pow y 3)))) (+ (* 1/3 (/ 1 (pow y 3))) (/ t (* (pow x 3) y)))) (/ 1 (* (pow x 2) y)))) |
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 y y))) (/.f64 t (*.f64 y (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 x x)))))) |
(* 1/3 (/ (pow x 3) (pow y 3))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))) |
(* -1 (* (pow x 3) (- (/ 1 (* (pow x 2) y)) (* 1/3 (/ 1 (pow y 3)))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x x))) (/.f64 #s(literal -1/3 binary64) (*.f64 y (*.f64 y y)))) (neg.f64 (*.f64 x (*.f64 x x)))) |
(* -1 (* (pow x 3) (- (+ (* -1 (/ (+ (* -1/3 (/ (pow t 3) (pow y 3))) (/ t y)) (pow x 3))) (/ 1 (* (pow x 2) y))) (* 1/3 (/ 1 (pow y 3)))))) |
(*.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x x))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) (/.f64 t y)) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/3 binary64) (*.f64 y (*.f64 y y)))) (neg.f64 (*.f64 x (*.f64 x x)))) |
(* -1 (* (pow x 3) (- (+ (* -1 (/ (+ (* -1/3 (/ (pow t 3) (pow y 3))) (/ t y)) (pow x 3))) (/ 1 (* (pow x 2) y))) (* 1/3 (/ 1 (pow y 3)))))) |
(*.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x x))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) (/.f64 t y)) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/3 binary64) (*.f64 y (*.f64 y y)))) (neg.f64 (*.f64 x (*.f64 x x)))) |
(* -1 (/ (- x (* -1 (/ (- (* -1/2 (pow x 3)) (* -1/6 (pow x 3))) (pow y 2)))) y)) |
(/.f64 (+.f64 x (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64)) (*.f64 y y))) (neg.f64 y)) |
(+ (* -1 (/ (- x (* -1 (/ (- (* -1/2 (pow x 3)) (* -1/6 (pow x 3))) (pow y 2)))) y)) (/ t y)) |
(-.f64 (/.f64 t y) (/.f64 (+.f64 x (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64)) (*.f64 y y))) y)) |
(+ (* -1 (/ (- x (* -1 (/ (- (* -1/2 (pow x 3)) (* -1/6 (pow x 3))) (pow y 2)))) y)) (* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y)))) |
(-.f64 (*.f64 t (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 t t) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) y))) (/.f64 (+.f64 x (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64)) (*.f64 y y))) y)) |
(+ (* -1 (/ (- x (* -1 (/ (- (* -1/2 (pow x 3)) (* -1/6 (pow x 3))) (pow y 2)))) y)) (* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y)))) |
(-.f64 (*.f64 t (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 t t) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) y))) (/.f64 (+.f64 x (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64)) (*.f64 y y))) y)) |
(* -1/3 (/ (pow t 3) (pow y 3))) |
(/.f64 (*.f64 (*.f64 t (*.f64 t t)) #s(literal -1/3 binary64)) (*.f64 y (*.f64 y y))) |
(* (pow t 3) (- (/ 1 (* (pow t 2) y)) (* 1/3 (/ 1 (pow y 3))))) |
(*.f64 (*.f64 t (*.f64 t t)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 t t))) (/.f64 #s(literal -1/3 binary64) (*.f64 y (*.f64 y y))))) |
(* (pow t 3) (- (+ (* -1 (/ (- (/ x y) (* -1 (/ (- (* -1/2 (/ (pow x 3) (pow y 2))) (* -1/6 (/ (pow x 3) (pow y 2)))) y))) (pow t 3))) (/ 1 (* (pow t 2) y))) (* 1/3 (/ 1 (pow y 3))))) |
(*.f64 (*.f64 t (*.f64 t t)) (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 t t))) (/.f64 (/.f64 (+.f64 x (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64)) (*.f64 y y))) y) (*.f64 t (*.f64 t t)))) (/.f64 #s(literal -1/3 binary64) (*.f64 y (*.f64 y y))))) |
(* (pow t 3) (- (+ (* -1 (/ (- (/ x y) (* -1 (/ (- (* -1/2 (/ (pow x 3) (pow y 2))) (* -1/6 (/ (pow x 3) (pow y 2)))) y))) (pow t 3))) (/ 1 (* (pow t 2) y))) (* 1/3 (/ 1 (pow y 3))))) |
(*.f64 (*.f64 t (*.f64 t t)) (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 t t))) (/.f64 (/.f64 (+.f64 x (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64)) (*.f64 y y))) y) (*.f64 t (*.f64 t t)))) (/.f64 #s(literal -1/3 binary64) (*.f64 y (*.f64 y y))))) |
(* -1/3 (/ (pow t 3) (pow y 3))) |
(/.f64 (*.f64 (*.f64 t (*.f64 t t)) #s(literal -1/3 binary64)) (*.f64 y (*.f64 y y))) |
(* -1 (* (pow t 3) (- (* 1/3 (/ 1 (pow y 3))) (/ 1 (* (pow t 2) y))))) |
(neg.f64 (*.f64 (*.f64 t (*.f64 t t)) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 t t)))))) |
(* -1 (* (pow t 3) (- (+ (* 1/3 (/ 1 (pow y 3))) (/ x (* (pow t 3) y))) (+ (* -1 (/ (- (* -1/2 (/ (pow x 3) (pow y 2))) (* -1/6 (/ (pow x 3) (pow y 2)))) (* (pow t 3) y))) (/ 1 (* (pow t 2) y)))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 y y))) (/.f64 x (*.f64 y (*.f64 t (*.f64 t t))))) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 t t))) (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64)) (*.f64 y y)) (*.f64 y (*.f64 t (*.f64 t t)))))) (neg.f64 (*.f64 t (*.f64 t t)))) |
(* -1 (* (pow t 3) (- (+ (* 1/3 (/ 1 (pow y 3))) (/ x (* (pow t 3) y))) (+ (* -1 (/ (- (* -1/2 (/ (pow x 3) (pow y 2))) (* -1/6 (/ (pow x 3) (pow y 2)))) (* (pow t 3) y))) (/ 1 (* (pow t 2) y)))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 y y))) (/.f64 x (*.f64 y (*.f64 t (*.f64 t t))))) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 t t))) (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64)) (*.f64 y y)) (*.f64 y (*.f64 t (*.f64 t t)))))) (neg.f64 (*.f64 t (*.f64 t t)))) |
(* -1 (/ (- (+ (* -1/2 (pow x 3)) (* 1/3 (pow t 3))) (* -1/6 (pow x 3))) (pow y 3))) |
(neg.f64 (/.f64 (fma.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64))) (*.f64 y (*.f64 y y)))) |
(/ (+ (* -1 (* (pow y 2) (- x t))) (* -1 (- (+ (* -1/2 (pow x 3)) (* 1/3 (pow t 3))) (* -1/6 (pow x 3))))) (pow y 3)) |
(/.f64 (neg.f64 (fma.f64 (*.f64 y y) (-.f64 x t) (fma.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64))))) (*.f64 y (*.f64 y y))) |
(/ (+ (* -1 (* (pow y 2) (- x t))) (* -1 (- (+ (* -1/2 (pow x 3)) (* 1/3 (pow t 3))) (* -1/6 (pow x 3))))) (pow y 3)) |
(/.f64 (neg.f64 (fma.f64 (*.f64 y y) (-.f64 x t) (fma.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64))))) (*.f64 y (*.f64 y y))) |
(/ (+ (* -1 (* (pow y 2) (- x t))) (* -1 (- (+ (* -1/2 (pow x 3)) (* 1/3 (pow t 3))) (* -1/6 (pow x 3))))) (pow y 3)) |
(/.f64 (neg.f64 (fma.f64 (*.f64 y y) (-.f64 x t) (fma.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64))))) (*.f64 y (*.f64 y y))) |
(* -1 (/ (- x t) y)) |
(/.f64 (-.f64 x t) (neg.f64 y)) |
(/ (+ (* -1 (- x t)) (* -1 (/ (- (+ (* -1/2 (pow x 3)) (* 1/3 (pow t 3))) (* -1/6 (pow x 3))) (pow y 2)))) y) |
(/.f64 (-.f64 (neg.f64 (-.f64 x t)) (/.f64 (fma.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64))) (*.f64 y y))) y) |
(/ (+ (* -1 (- x t)) (* -1 (/ (- (+ (* -1/2 (pow x 3)) (* 1/3 (pow t 3))) (* -1/6 (pow x 3))) (pow y 2)))) y) |
(/.f64 (-.f64 (neg.f64 (-.f64 x t)) (/.f64 (fma.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64))) (*.f64 y y))) y) |
(/ (+ (* -1 (- x t)) (* -1 (/ (- (+ (* -1/2 (pow x 3)) (* 1/3 (pow t 3))) (* -1/6 (pow x 3))) (pow y 2)))) y) |
(/.f64 (-.f64 (neg.f64 (-.f64 x t)) (/.f64 (fma.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64))) (*.f64 y y))) y) |
(* -1 (/ (- x t) y)) |
(/.f64 (-.f64 x t) (neg.f64 y)) |
(* -1 (/ (- (+ x (+ (* -1/2 (/ (pow x 3) (pow y 2))) (* 1/3 (/ (pow t 3) (pow y 2))))) (+ t (* -1/6 (/ (pow x 3) (pow y 2))))) y)) |
(/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y)) (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y y)) x)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y)) t)) (neg.f64 y)) |
(* -1 (/ (- (+ x (+ (* -1/2 (/ (pow x 3) (pow y 2))) (* 1/3 (/ (pow t 3) (pow y 2))))) (+ t (* -1/6 (/ (pow x 3) (pow y 2))))) y)) |
(/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y)) (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y y)) x)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y)) t)) (neg.f64 y)) |
(* -1 (/ (- (+ x (+ (* -1/2 (/ (pow x 3) (pow y 2))) (* 1/3 (/ (pow t 3) (pow y 2))))) (+ t (* -1/6 (/ (pow x 3) (pow y 2))))) y)) |
(/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y)) (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y y)) x)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y)) t)) (neg.f64 y)) |
(/ (pow t 3) (pow y 2)) |
(/.f64 (*.f64 t (*.f64 t t)) (*.f64 y y)) |
(/ (pow t 3) (pow y 2)) |
(/.f64 (*.f64 t (*.f64 t t)) (*.f64 y y)) |
(/ (pow t 3) (pow y 2)) |
(/.f64 (*.f64 t (*.f64 t t)) (*.f64 y y)) |
(/ (pow t 3) (pow y 2)) |
(/.f64 (*.f64 t (*.f64 t t)) (*.f64 y y)) |
(/ (pow t 3) (pow y 2)) |
(/.f64 (*.f64 t (*.f64 t t)) (*.f64 y y)) |
(/ (pow t 3) (pow y 2)) |
(/.f64 (*.f64 t (*.f64 t t)) (*.f64 y y)) |
(/ (pow t 3) (pow y 2)) |
(/.f64 (*.f64 t (*.f64 t t)) (*.f64 y y)) |
(/ (pow t 3) (pow y 2)) |
(/.f64 (*.f64 t (*.f64 t t)) (*.f64 y y)) |
(/ (pow t 3) (pow y 2)) |
(/.f64 (*.f64 t (*.f64 t t)) (*.f64 y y)) |
(/ (pow t 3) (pow y 2)) |
(/.f64 (*.f64 t (*.f64 t t)) (*.f64 y y)) |
(/ (pow t 3) (pow y 2)) |
(/.f64 (*.f64 t (*.f64 t t)) (*.f64 y y)) |
(/ (pow t 3) (pow y 2)) |
(/.f64 (*.f64 t (*.f64 t t)) (*.f64 y y)) |
(/ (pow t 3) (pow y 2)) |
(/.f64 (*.f64 t (*.f64 t t)) (*.f64 y y)) |
(/ (pow t 3) (pow y 2)) |
(/.f64 (*.f64 t (*.f64 t t)) (*.f64 y y)) |
(/ (pow t 3) (pow y 2)) |
(/.f64 (*.f64 t (*.f64 t t)) (*.f64 y y)) |
(/ (pow t 3) (pow y 2)) |
(/.f64 (*.f64 t (*.f64 t t)) (*.f64 y y)) |
(/ (pow t 3) (pow y 2)) |
(/.f64 (*.f64 t (*.f64 t t)) (*.f64 y y)) |
(/ (pow t 3) (pow y 2)) |
(/.f64 (*.f64 t (*.f64 t t)) (*.f64 y y)) |
(/ (pow t 3) (pow y 2)) |
(/.f64 (*.f64 t (*.f64 t t)) (*.f64 y y)) |
(/ (pow t 3) (pow y 2)) |
(/.f64 (*.f64 t (*.f64 t t)) (*.f64 y y)) |
(/ (pow t 3) (pow y 2)) |
(/.f64 (*.f64 t (*.f64 t t)) (*.f64 y y)) |
(/ (pow t 3) (pow y 2)) |
(/.f64 (*.f64 t (*.f64 t t)) (*.f64 y y)) |
(/ (pow t 3) (pow y 2)) |
(/.f64 (*.f64 t (*.f64 t t)) (*.f64 y y)) |
(/ (pow t 3) (pow y 2)) |
(/.f64 (*.f64 t (*.f64 t t)) (*.f64 y y)) |
| 1× | batch-egg-rewrite |
| 4 666× | lower-*.f32 |
| 4 648× | lower-*.f64 |
| 4 412× | lower-/.f32 |
| 4 398× | lower-/.f64 |
| 4 016× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 69 | 479 |
| 0 | 98 | 436 |
| 1 | 443 | 420 |
| 2 | 3898 | 420 |
| 0 | 9849 | 407 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)) (neg.f64 (*.f64 (*.f64 y z) (tanh.f64 (/.f64 x y))))) |
(+.f64 x (fma.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)) (neg.f64 (*.f64 (*.f64 y z) (tanh.f64 (/.f64 x y)))))) |
(*.f64 y z) |
(tanh.f64 (/.f64 t y)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) |
#s(approx (+ (* z (- t x)) x) (*.f64 z t)) |
(*.f64 z t) |
(fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) y x) |
(*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) |
(/.f64 (-.f64 t 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 #s(literal 1 binary64) (/.f64 y (-.f64 t 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))) #s(approx (/ (+ x (- (neg t) (/ (/ (- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6)) (neg y)) y))) (neg y)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y y)) t) y))))) |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (+ x (- (neg t) (/ (/ (- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6)) (neg y)) y))) (neg y)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y y)) t) y)))) |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (+ x (- (neg t) (/ (/ (- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6)) (neg y)) y))) (neg y)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y y)) t) y))) |
(*.f64 (*.f64 y z) (tanh.f64 (/.f64 x y))) |
(tanh.f64 (/.f64 x y)) |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x)))) |
(/.f64 y (-.f64 t x)) |
#s(approx (/ (+ x (- (neg t) (/ (/ (- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6)) (neg y)) y))) (neg y)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y y)) t) y)) |
(/.f64 (*.f64 t (*.f64 t t)) (*.f64 y y)) |
| Outputs |
|---|
(+.f64 (*.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y))) (*.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)))) |
(+.f64 (*.f64 (*.f64 y z) (tanh.f64 (/.f64 t y))) (*.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y)))) |
(-.f64 (*.f64 (*.f64 y z) (tanh.f64 (/.f64 t y))) (*.f64 (*.f64 y z) (tanh.f64 (/.f64 x y)))) |
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 y z) (tanh.f64 (/.f64 x y))) (*.f64 (*.f64 y z) (tanh.f64 (/.f64 t y))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y z) (tanh.f64 (/.f64 t y))) #s(literal 2 binary64)) (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (neg.f64 (tanh.f64 (/.f64 x y)))))) (/.f64 (pow.f64 (*.f64 (*.f64 y z) (tanh.f64 (/.f64 x y))) #s(literal 2 binary64)) (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (neg.f64 (tanh.f64 (/.f64 x y))))))) |
(-.f64 (fma.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)) #s(literal 0 binary64)) (*.f64 (*.f64 y z) (tanh.f64 (/.f64 x y)))) |
(fma.f64 y (*.f64 z (tanh.f64 (/.f64 t y))) (*.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y)))) |
(fma.f64 y (neg.f64 (*.f64 z (tanh.f64 (/.f64 x y)))) (*.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)))) |
(fma.f64 y (*.f64 z (neg.f64 (tanh.f64 (/.f64 x y)))) (*.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)))) |
(fma.f64 z (*.f64 y (tanh.f64 (/.f64 t y))) (*.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y)))) |
(fma.f64 z (*.f64 y (neg.f64 (tanh.f64 (/.f64 x y)))) (*.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)))) |
(fma.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)) (*.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y)))) |
(fma.f64 (*.f64 y z) (neg.f64 (tanh.f64 (/.f64 x y))) (*.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)))) |
(fma.f64 (tanh.f64 (/.f64 t y)) (*.f64 y z) (*.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y)))) |
(fma.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y)) (*.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)))) |
(fma.f64 (*.f64 (*.f64 y z) (tanh.f64 (/.f64 x y))) #s(literal -1 binary64) (*.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)))) |
(fma.f64 (neg.f64 y) (*.f64 z (tanh.f64 (/.f64 x y))) (*.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 y z) (tanh.f64 (/.f64 x y))) (*.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)))) |
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(*.f64 y z) |
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(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))) |
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(tanh.f64 (/.f64 t y)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) |
#s(approx (+ (* z (- t x)) x) (*.f64 z t)) |
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(fma.f64 z (*.f64 y #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) x) |
(fma.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x) |
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(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 x y)))) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y))))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 x y))))) (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))))) |
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))))))) |
(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y))) (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 x y)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64)))) (expm1.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))))) #s(literal -1 binary64)) |
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y))))) |
(*.f64 (expm1.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64)))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)))))) |
(tanh.f64 (/.f64 x y)) |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 t x) y)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 t x))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 y (-.f64 t x))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 y (-.f64 t x))) #s(literal -1 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 t x))) (/.f64 (neg.f64 y) (-.f64 t x))) |
(neg.f64 (/.f64 (neg.f64 y) (-.f64 t x))) |
(/.f64 y (-.f64 t x)) |
(/.f64 y (neg.f64 (neg.f64 (-.f64 t x)))) |
(/.f64 y (*.f64 #s(literal 1 binary64) (-.f64 t x))) |
(/.f64 y (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 t x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 t x) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 t x) y) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (-.f64 t x) y)))) |
(/.f64 (/.f64 y (-.f64 t x)) #s(literal 1 binary64)) |
(/.f64 (neg.f64 y) (neg.f64 (-.f64 t x))) |
(/.f64 (neg.f64 y) (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 t x)))) |
(/.f64 (neg.f64 y) (neg.f64 (neg.f64 (neg.f64 (-.f64 t x))))) |
(/.f64 (neg.f64 y) (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 t x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 t x) y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (-.f64 t x) y) #s(literal 1 binary64)))) |
(/.f64 (/.f64 (neg.f64 y) (-.f64 t x)) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 t x)) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (*.f64 y #s(literal 1 binary64)) (-.f64 t x)) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 t x))) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 (neg.f64 (*.f64 y #s(literal 1 binary64))) (neg.f64 (-.f64 t x))) |
(pow.f64 (/.f64 (-.f64 t x) y) #s(literal -1 binary64)) |
(pow.f64 (/.f64 y (-.f64 t x)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (/.f64 (-.f64 t x) y) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 y (/.f64 #s(literal 1 binary64) (-.f64 t x))) |
(*.f64 y (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 t x)) #s(literal 1 binary64))) |
(*.f64 y (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 t x))) #s(literal -1 binary64))) |
(*.f64 y (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 t x)) #s(literal 1 binary64))) |
(*.f64 y (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 t x)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x))) |
(*.f64 (/.f64 y (-.f64 t x)) #s(literal 1 binary64)) |
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 t x)))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) (-.f64 t x))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 y (-.f64 t x))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (neg.f64 y) (-.f64 t x)) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 t x)) y) |
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 t x))) (neg.f64 y)) |
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 t x))) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))) |
(*.f64 (/.f64 y (*.f64 (fma.f64 x (+.f64 t x) (*.f64 t t)) (-.f64 t x))) (fma.f64 x (+.f64 t x) (*.f64 t t))) |
(*.f64 (/.f64 y (*.f64 (+.f64 t x) (-.f64 t x))) (+.f64 t x)) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 t x)))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 t x) y) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 (-.f64 t x) y) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (-.f64 t x)) #s(literal -1 binary64)) y) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 t x)) #s(literal 1 binary64)) y) |
(*.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 t x))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 t x))) #s(literal 1 binary64)) (pow.f64 (neg.f64 y) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 y (*.f64 (fma.f64 x (+.f64 t x) (*.f64 t t)) (-.f64 t x))) #s(literal 1 binary64)) (pow.f64 (fma.f64 x (+.f64 t x) (*.f64 t t)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 y (*.f64 (+.f64 t x) (-.f64 t x))) #s(literal 1 binary64)) (pow.f64 (+.f64 t x) #s(literal 1 binary64))) |
#s(approx (/ (+ x (- (neg t) (/ (/ (- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6)) (neg y)) y))) (neg y)) (/.f64 (fma.f64 t (*.f64 (/.f64 (*.f64 t t) (*.f64 y y)) #s(literal -1/3 binary64)) t) y)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 y y) (*.f64 t (*.f64 t t)))) #s(literal -1 binary64))) |
(exp.f64 (-.f64 (*.f64 (log.f64 t) #s(literal 3 binary64)) (*.f64 (log.f64 y) #s(literal 2 binary64)))) |
(exp.f64 (-.f64 (*.f64 (log.f64 (neg.f64 t)) #s(literal 3 binary64)) (*.f64 (log.f64 y) #s(literal 2 binary64)))) |
(neg.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 t (*.f64 t t)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 y y) (*.f64 t (*.f64 t t))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 (*.f64 t (*.f64 t t)) y))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 y y) (*.f64 t (*.f64 t t)))))) |
(/.f64 (*.f64 t t) (*.f64 (/.f64 y t) y)) |
(/.f64 (*.f64 t (*.f64 t t)) (*.f64 y y)) |
(/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (neg.f64 y))) |
(/.f64 (*.f64 t (*.f64 t t)) (neg.f64 (*.f64 y (neg.f64 y)))) |
(/.f64 (*.f64 t (*.f64 t t)) (neg.f64 (neg.f64 (*.f64 y (neg.f64 y))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 y y) (*.f64 t (*.f64 t t))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 y y) (*.f64 t (*.f64 t t))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (/.f64 (*.f64 t (*.f64 t t)) y)))) |
(/.f64 (/.f64 (*.f64 t (*.f64 t t)) y) y) |
(/.f64 (neg.f64 (*.f64 t t)) (neg.f64 (*.f64 (/.f64 y t) y))) |
(/.f64 (neg.f64 (/.f64 (*.f64 t (*.f64 t t)) y)) (neg.f64 y)) |
(/.f64 (*.f64 (/.f64 t y) (*.f64 t t)) y) |
(/.f64 (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1 binary64)) (*.f64 y y)) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) y)) (/.f64 y t)) |
(/.f64 (*.f64 (neg.f64 t) (/.f64 (*.f64 t t) y)) (neg.f64 y)) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 t (*.f64 t t)) y))) y) |
(/.f64 (neg.f64 (*.f64 (/.f64 t y) (*.f64 t t))) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1 binary64))) (*.f64 y (neg.f64 y))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) y))) (neg.f64 (/.f64 y t))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 t) (/.f64 (*.f64 t t) y))) y) |
(pow.f64 (/.f64 (*.f64 y y) (*.f64 t (*.f64 t t))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 y y) (*.f64 t (*.f64 t t))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 y (/.f64 (*.f64 t (*.f64 t t)) y)) #s(literal -1 binary64)) |
(*.f64 t (/.f64 (*.f64 t t) (*.f64 y y))) |
(*.f64 t (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 t t) y))) |
(*.f64 (/.f64 t y) (/.f64 (*.f64 t t) y)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y y))) |
(*.f64 (*.f64 t t) (*.f64 t (/.f64 #s(literal 1 binary64) (*.f64 y y)))) |
(*.f64 (*.f64 t t) (/.f64 t (*.f64 y y))) |
(*.f64 (*.f64 t (*.f64 t t)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(*.f64 (*.f64 t (*.f64 t t)) (/.f64 #s(literal 1 binary64) (*.f64 y (neg.f64 y)))) |
(*.f64 (/.f64 (*.f64 t t) y) (/.f64 t y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 t (*.f64 t t)) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 t (*.f64 t t))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 t (*.f64 t t)) y) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 (*.f64 t t) (*.f64 y y)) t) |
Compiled 58 616 to 3 068 computations (94.8% saved)
36 alts after pruning (32 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 549 | 18 | 1 567 |
| Fresh | 9 | 14 | 23 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 2 | 3 |
| Total | 1 562 | 36 | 1 598 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 89.2% | (fma.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) z (fma.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y)) x)) |
| 54.7% | (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x) | |
| 35.9% | (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (+ x (- (neg t) (/ (/ (- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6)) (neg y)) y))) (neg y)) (/.f64 (fma.f64 t (*.f64 (/.f64 (*.f64 t t) (*.f64 y y)) #s(literal -1/3 binary64)) t) y))) y) z x) | |
| ✓ | 97.3% | (fma.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y x) |
| 66.9% | (fma.f64 (*.f64 z (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y x) | |
| 31.9% | (fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 y (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y)))) y x) | |
| ✓ | 53.8% | (fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) y x) |
| 27.8% | (fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x))))) y x) | |
| 53.8% | (fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x)))) y x) | |
| 48.9% | (fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 x (neg.f64 y))))) y x) | |
| 57.2% | (fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y)))) y x) | |
| 47.2% | (fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 x (+.f64 (/.f64 t (*.f64 y x)) (/.f64 #s(literal -1 binary64) y)))))) y x) | |
| 49.5% | (fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x) | |
| 72.2% | (+.f64 x (fma.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)) (neg.f64 #s(approx (* (* y z) (tanh (/ x y))) (*.f64 z x))))) | |
| 37.4% | (+.f64 x (fma.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)) (neg.f64 #s(approx (* (* y z) (tanh (/ x y))) (*.f64 x (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 z (*.f64 x x)) (*.f64 y y)) z)))))) | |
| 63.6% | (+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))) | |
| 34.3% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 t x))) y)))) | |
| 42.0% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 (*.f64 x x) (/.f64 y (*.f64 t t)) (fma.f64 x (/.f64 y t) y)) t)))))) | |
| ▶ | 56.6% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 x (/.f64 y t) y) t)))))) |
| ▶ | 51.1% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (-.f64 (neg.f64 y) (/.f64 (fma.f64 (*.f64 x x) (/.f64 y t) (*.f64 y x)) t)) (neg.f64 t))))))) |
| 48.2% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (-.f64 (neg.f64 y) (/.f64 (-.f64 (*.f64 y x) (/.f64 (neg.f64 (fma.f64 y (*.f64 x x) (/.f64 (*.f64 y (*.f64 x (*.f64 x x))) t))) t)) t)) (neg.f64 t))))))) | |
| 45.7% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (-.f64 y (/.f64 (neg.f64 (fma.f64 (*.f64 t t) (/.f64 y x) (*.f64 y t))) x)) (neg.f64 x))))))) | |
| 47.4% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 y (neg.f64 x))))))) | |
| 56.0% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 y t)))))) | |
| 49.8% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (neg.f64 (/.f64 (fma.f64 t (/.f64 y x) y) x))))))) | |
| 49.5% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))))) | |
| 56.0% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))))) | |
| 13.0% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (+ x (- (neg t) (/ (/ (- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6)) (neg y)) y))) (neg y)) (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) (*.f64 y (*.f64 y y))))))) | |
| 26.3% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (*.f64 (fma.f64 x (+.f64 t x) (*.f64 t t)) (-.f64 t x)) (fma.f64 x (+.f64 t x) (*.f64 t t))) x)) | |
| ▶ | 43.5% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (+.f64 t x)) x)) |
| ✓ | 65.2% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)) |
| 43.5% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 t x))) x)) | |
| 57.7% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (neg.f64 x)) x)) | |
| 19.4% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 z (-.f64 t x)) (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x)))))) (fma.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))) (*.f64 x (-.f64 x (*.f64 z (-.f64 t x))))))) | |
| ▶ | 26.4% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))) |
| ✓ | 18.4% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) |
Compiled 1 489 to 784 computations (47.3% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 128 | (-.f64 (neg.f64 y) (/.f64 (fma.f64 (*.f64 x x) (/.f64 y t) (*.f64 y x)) t)) |
| ✓ | cost-diff | 128 | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (-.f64 (neg.f64 y) (/.f64 (fma.f64 (*.f64 x x) (/.f64 y t) (*.f64 y x)) t)) (neg.f64 t))))))) |
| ✓ | cost-diff | 256 | (/.f64 (-.f64 (neg.f64 y) (/.f64 (fma.f64 (*.f64 x x) (/.f64 y t) (*.f64 y x)) t)) (neg.f64 t)) |
| ✓ | cost-diff | 320 | (fma.f64 (*.f64 x x) (/.f64 y t) (*.f64 y x)) |
| ✓ | cost-diff | 0 | #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 x (/.f64 y t) y) t)))) |
| ✓ | cost-diff | 0 | (*.f64 y z) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 x (/.f64 y t) y) t))))) |
| ✓ | cost-diff | 128 | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 x (/.f64 y t) y) t)))))) |
| ✓ | cost-diff | 0 | (*.f64 (+.f64 t x) (-.f64 t x)) |
| ✓ | cost-diff | 0 | (fma.f64 z (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (+.f64 t x)) x) |
| ✓ | cost-diff | 0 | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (+.f64 t x)) x)) |
| ✓ | cost-diff | 1408 | (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (+.f64 t x)) |
| ✓ | cost-diff | 0 | (-.f64 t x) |
| ✓ | cost-diff | 0 | (*.f64 z (-.f64 t x)) |
| ✓ | cost-diff | 0 | #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x))) |
| ✓ | cost-diff | 0 | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))) |
| ✓ | cost-diff | 0 | (/.f64 t y) |
| ✓ | cost-diff | 0 | (tanh.f64 (/.f64 t y)) |
| ✓ | cost-diff | 0 | (*.f64 (tanh.f64 (/.f64 t y)) y) |
| ✓ | cost-diff | 640 | (fma.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) z (fma.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y)) x)) |
| 8 550× | lower-fma.f32 |
| 8 540× | lower-fma.f64 |
| 4 176× | lower-*.f32 |
| 4 158× | lower-*.f64 |
| 3 060× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 569 |
| 0 | 94 | 554 |
| 1 | 192 | 536 |
| 2 | 456 | 515 |
| 3 | 1234 | 510 |
| 4 | 3753 | 510 |
| 0 | 8153 | 498 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) z (fma.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y)) x)) |
(*.f64 (tanh.f64 (/.f64 t y)) y) |
(tanh.f64 (/.f64 t y)) |
(/.f64 t y) |
t |
y |
z |
(fma.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y)) x) |
(tanh.f64 (/.f64 x y)) |
(/.f64 x y) |
x |
(*.f64 z (neg.f64 y)) |
(neg.f64 y) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))) |
#s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x))) |
(*.f64 z (-.f64 t x)) |
z |
(-.f64 t x) |
t |
x |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (+.f64 t x)) x)) |
(fma.f64 z (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (+.f64 t x)) x) |
z |
(/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (+.f64 t x)) |
(*.f64 (+.f64 t x) (-.f64 t x)) |
(+.f64 t x) |
t |
x |
(-.f64 t x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 x (/.f64 y t) y) t)))))) |
x |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 x (/.f64 y t) y) t))))) |
(*.f64 y z) |
y |
z |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 x (/.f64 y t) y) t)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 x (/.f64 y t) y) t))) |
#s(literal 1 binary64) |
#s(approx (/ y (- t x)) (/.f64 (fma.f64 x (/.f64 y t) y) t)) |
(/.f64 (fma.f64 x (/.f64 y t) y) t) |
(fma.f64 x (/.f64 y t) y) |
(/.f64 y t) |
t |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (-.f64 (neg.f64 y) (/.f64 (fma.f64 (*.f64 x x) (/.f64 y t) (*.f64 y x)) t)) (neg.f64 t))))))) |
x |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (-.f64 (neg.f64 y) (/.f64 (fma.f64 (*.f64 x x) (/.f64 y t) (*.f64 y x)) t)) (neg.f64 t)))))) |
(*.f64 y z) |
y |
z |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (-.f64 (neg.f64 y) (/.f64 (fma.f64 (*.f64 x x) (/.f64 y t) (*.f64 y x)) t)) (neg.f64 t))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (-.f64 (neg.f64 y) (/.f64 (fma.f64 (*.f64 x x) (/.f64 y t) (*.f64 y x)) t)) (neg.f64 t)))) |
#s(literal 1 binary64) |
#s(approx (/ y (- t x)) (/.f64 (-.f64 (neg.f64 y) (/.f64 (fma.f64 (*.f64 x x) (/.f64 y t) (*.f64 y x)) t)) (neg.f64 t))) |
(/.f64 (-.f64 (neg.f64 y) (/.f64 (fma.f64 (*.f64 x x) (/.f64 y t) (*.f64 y x)) t)) (neg.f64 t)) |
(-.f64 (neg.f64 y) (/.f64 (fma.f64 (*.f64 x x) (/.f64 y t) (*.f64 y x)) t)) |
(neg.f64 y) |
(/.f64 (fma.f64 (*.f64 x x) (/.f64 y t) (*.f64 y x)) t) |
(fma.f64 (*.f64 x x) (/.f64 y t) (*.f64 y x)) |
(*.f64 x x) |
(/.f64 y t) |
t |
(*.f64 y x) |
(neg.f64 t) |
| Outputs |
|---|
(fma.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) z (fma.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y)) x)) |
(fma.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x) |
(*.f64 (tanh.f64 (/.f64 t y)) y) |
(*.f64 y (tanh.f64 (/.f64 t y))) |
(tanh.f64 (/.f64 t y)) |
(/.f64 t y) |
t |
y |
z |
(fma.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y)) x) |
(fma.f64 (tanh.f64 (/.f64 x y)) (*.f64 y (neg.f64 z)) x) |
(tanh.f64 (/.f64 x y)) |
(/.f64 x y) |
x |
(*.f64 z (neg.f64 y)) |
(*.f64 y (neg.f64 z)) |
(neg.f64 y) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))) |
#s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x))) |
(*.f64 z (-.f64 t x)) |
z |
(-.f64 t x) |
t |
x |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (+.f64 t x)) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)) |
(fma.f64 z (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (+.f64 t x)) x) |
(fma.f64 z (-.f64 t x) x) |
z |
(/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (+.f64 t x)) |
(-.f64 t x) |
(*.f64 (+.f64 t x) (-.f64 t x)) |
(*.f64 (-.f64 t x) (+.f64 t x)) |
(+.f64 t x) |
t |
x |
(-.f64 t x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 x (/.f64 y t) y) t)))))) |
(fma.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 x (/.f64 y t) y) t)))) x) |
x |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 x (/.f64 y t) y) t))))) |
(*.f64 y z) |
y |
z |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 x (/.f64 y t) y) t)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 x (/.f64 y t) y) t))) |
#s(literal 1 binary64) |
#s(approx (/ y (- t x)) (/.f64 (fma.f64 x (/.f64 y t) y) t)) |
(/.f64 (fma.f64 x (/.f64 y t) y) t) |
(fma.f64 x (/.f64 y t) y) |
(/.f64 y t) |
t |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (-.f64 (neg.f64 y) (/.f64 (fma.f64 (*.f64 x x) (/.f64 y t) (*.f64 y x)) t)) (neg.f64 t))))))) |
(fma.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 (fma.f64 x (/.f64 y t) y) (/.f64 x t) y) t)))) x) |
x |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (-.f64 (neg.f64 y) (/.f64 (fma.f64 (*.f64 x x) (/.f64 y t) (*.f64 y x)) t)) (neg.f64 t)))))) |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 (fma.f64 x (/.f64 y t) y) (/.f64 x t) y) t))))) |
(*.f64 y z) |
y |
z |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (-.f64 (neg.f64 y) (/.f64 (fma.f64 (*.f64 x x) (/.f64 y t) (*.f64 y x)) t)) (neg.f64 t))))) |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 (fma.f64 x (/.f64 y t) y) (/.f64 x t) y) t)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (-.f64 (neg.f64 y) (/.f64 (fma.f64 (*.f64 x x) (/.f64 y t) (*.f64 y x)) t)) (neg.f64 t)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 (fma.f64 x (/.f64 y t) y) (/.f64 x t) y) t))) |
#s(literal 1 binary64) |
#s(approx (/ y (- t x)) (/.f64 (-.f64 (neg.f64 y) (/.f64 (fma.f64 (*.f64 x x) (/.f64 y t) (*.f64 y x)) t)) (neg.f64 t))) |
#s(approx (/ y (- t x)) (/.f64 (fma.f64 (fma.f64 x (/.f64 y t) y) (/.f64 x t) y) t)) |
(/.f64 (-.f64 (neg.f64 y) (/.f64 (fma.f64 (*.f64 x x) (/.f64 y t) (*.f64 y x)) t)) (neg.f64 t)) |
(/.f64 (fma.f64 (fma.f64 x (/.f64 y t) y) (/.f64 x t) y) t) |
(-.f64 (neg.f64 y) (/.f64 (fma.f64 (*.f64 x x) (/.f64 y t) (*.f64 y x)) t)) |
(neg.f64 (fma.f64 (fma.f64 x (/.f64 y t) y) (/.f64 x t) y)) |
(neg.f64 y) |
(/.f64 (fma.f64 (*.f64 x x) (/.f64 y t) (*.f64 y x)) t) |
(/.f64 (*.f64 x (fma.f64 x (/.f64 y t) y)) t) |
(fma.f64 (*.f64 x x) (/.f64 y t) (*.f64 y x)) |
(*.f64 x (fma.f64 x (/.f64 y t) y)) |
(*.f64 x x) |
(/.f64 y t) |
t |
(*.f64 y x) |
(neg.f64 t) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 91.9% | (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (-.f64 (neg.f64 y) (/.f64 (fma.f64 (*.f64 x x) (/.f64 y t) (*.f64 y x)) t)) (neg.f64 t)))))) |
| ✓ | accuracy | 80.6% | (fma.f64 (*.f64 x x) (/.f64 y t) (*.f64 y x)) |
| ✓ | accuracy | 53.9% | #s(approx (/ y (- t x)) (/.f64 (-.f64 (neg.f64 y) (/.f64 (fma.f64 (*.f64 x x) (/.f64 y t) (*.f64 y x)) t)) (neg.f64 t))) |
| ✓ | accuracy | 33.3% | #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (-.f64 (neg.f64 y) (/.f64 (fma.f64 (*.f64 x x) (/.f64 y t) (*.f64 y x)) t)) (neg.f64 t))))) |
| ✓ | accuracy | 96.0% | (fma.f64 x (/.f64 y t) y) |
| ✓ | accuracy | 91.9% | (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 x (/.f64 y t) y) t))))) |
| ✓ | accuracy | 52.4% | #s(approx (/ y (- t x)) (/.f64 (fma.f64 x (/.f64 y t) y) t)) |
| ✓ | accuracy | 33.3% | #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 x (/.f64 y t) y) t)))) |
| ✓ | accuracy | 100.0% | (*.f64 (+.f64 t x) (-.f64 t x)) |
| ✓ | accuracy | 100.0% | (fma.f64 z (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (+.f64 t x)) x) |
| ✓ | accuracy | 65.2% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (+.f64 t x)) x)) |
| ✓ | accuracy | 52.6% | (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (+.f64 t x)) |
| ✓ | accuracy | 100.0% | (-.f64 t x) |
| ✓ | accuracy | 100.0% | (*.f64 z (-.f64 t x)) |
| ✓ | accuracy | 65.2% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))) |
| ✓ | accuracy | 59.4% | #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x))) |
| ✓ | accuracy | 100.0% | (tanh.f64 (/.f64 t y)) |
| ✓ | accuracy | 98.0% | (fma.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) z (fma.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y)) x)) |
| ✓ | accuracy | 92.2% | (*.f64 (tanh.f64 (/.f64 t y)) y) |
| ✓ | accuracy | 90.2% | (fma.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y)) x) |
| 94.0ms | 213× | 0 | valid |
| 34.0ms | 39× | 2 | valid |
| 6.0ms | 4× | 1 | valid |
Compiled 358 to 44 computations (87.7% saved)
ival-div: 34.0ms (32.4% of total)ival-mult: 24.0ms (22.8% of total)ival-add: 24.0ms (22.8% of total)adjust: 10.0ms (9.5% of total)ival-tanh: 7.0ms (6.7% of total)ival-sub: 4.0ms (3.8% of total)ival-neg: 2.0ms (1.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (fma.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) z (fma.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y)) x))> |
#<alt (*.f64 (tanh.f64 (/.f64 t y)) y)> |
#<alt (tanh.f64 (/.f64 t y))> |
#<alt (/.f64 t y)> |
#<alt #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x))))> |
#<alt #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))> |
#<alt (*.f64 z (-.f64 t x))> |
#<alt (-.f64 t x)> |
#<alt (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (+.f64 t x))> |
#<alt #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (+.f64 t x)) x))> |
#<alt (fma.f64 z (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (+.f64 t x)) x)> |
#<alt (*.f64 (+.f64 t x) (-.f64 t x))> |
#<alt (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 x (/.f64 y t) y) t))))))> |
#<alt (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 x (/.f64 y t) y) t)))))> |
#<alt (*.f64 y z)> |
#<alt #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 x (/.f64 y t) y) t))))> |
#<alt (fma.f64 (*.f64 x x) (/.f64 y t) (*.f64 y x))> |
#<alt (/.f64 (-.f64 (neg.f64 y) (/.f64 (fma.f64 (*.f64 x x) (/.f64 y t) (*.f64 y x)) t)) (neg.f64 t))> |
#<alt (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (-.f64 (neg.f64 y) (/.f64 (fma.f64 (*.f64 x x) (/.f64 y t) (*.f64 y x)) t)) (neg.f64 t)))))))> |
#<alt (-.f64 (neg.f64 y) (/.f64 (fma.f64 (*.f64 x x) (/.f64 y t) (*.f64 y x)) t))> |
#<alt (fma.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y)) x)> |
#<alt #s(approx (/ y (- t x)) (/.f64 (fma.f64 x (/.f64 y t) y) t))> |
#<alt (fma.f64 x (/.f64 y t) y)> |
#<alt #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (-.f64 (neg.f64 y) (/.f64 (fma.f64 (*.f64 x x) (/.f64 y t) (*.f64 y x)) t)) (neg.f64 t)))))> |
#<alt #s(approx (/ y (- t x)) (/.f64 (-.f64 (neg.f64 y) (/.f64 (fma.f64 (*.f64 x x) (/.f64 y t) (*.f64 y x)) t)) (neg.f64 t)))> |
#<alt (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (-.f64 (neg.f64 y) (/.f64 (fma.f64 (*.f64 x x) (/.f64 y t) (*.f64 y x)) t)) (neg.f64 t))))))> |
| Outputs |
|---|
#<alt (+ x (* -1 (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))> |
#<alt (+ x (+ (* -1 (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (* t z)))> |
#<alt (+ x (+ (* -1 (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2)))))))> |
#<alt (+ x (+ (* -1 (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4)))))))))> |
#<alt (+ x (+ (* -1 (/ (* y (* z (- (exp (/ x y)) (/ 1 (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)))))))> |
#<alt (+ x (+ (* -1 (/ (* y (* z (- (exp (/ x y)) (/ 1 (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)))))))> |
#<alt (+ x (+ (* -1 (/ (* y (* z (- (exp (/ x y)) (/ 1 (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)))))))> |
#<alt (+ x (+ (* -1 (/ (* y (* z (- (exp (/ x y)) (/ 1 (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)))))))> |
#<alt (+ x (+ (* -1 (/ (* y (* z (- (exp (/ x y)) (/ 1 (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)))))))> |
#<alt (+ x (+ (* -1 (/ (* y (* z (- (exp (/ x y)) (/ 1 (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)))))))> |
#<alt (+ x (+ (* -1 (/ (* y (* z (- (exp (/ x y)) (/ 1 (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)))))))> |
#<alt (+ x (+ (* -1 (/ (* y (* z (- (exp (/ x y)) (/ 1 (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)))))))> |
#<alt x> |
#<alt (+ x (* y (+ (* -1 (/ (* z (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (* z (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))> |
#<alt (+ x (* y (+ (* -1 (/ (* z (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (* z (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))> |
#<alt (+ x (* y (+ (* -1 (/ (* z (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (* z (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))> |
#<alt (+ x (+ (* -1 (* x z)) (* t z)))> |
#<alt (+ x (+ (* -1 (* x z)) (+ (* -1/2 (/ (* z (+ (* -1 (pow x 2)) (pow x 2))) y)) (+ (* 1/2 (/ (* z (+ (* -1 (pow t 2)) (pow t 2))) y)) (* t z)))))> |
#<alt (+ x (+ (* -1 (* x z)) (+ (* -1 (/ (* z (- (* 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 x 3)))) (pow y 2))) (+ (* -1/2 (/ (* z (+ (* -1 (pow x 2)) (pow x 2))) y)) (+ (* 1/2 (/ (* z (+ (* -1 (pow t 2)) (pow t 2))) y)) (+ (* t z) (/ (* z (- (* 1/2 (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3))))) (* 1/2 (pow t 3)))) (pow y 2))))))))> |
#<alt (+ x (+ (* -1 (* x z)) (+ (* -1 (/ (* z (- (* 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)))))) (+ (* -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))))))) (pow y 3))) (+ (* -1 (/ (* z (- (* 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 x 3)))) (pow y 2))) (+ (* -1/2 (/ (* z (+ (* -1 (pow x 2)) (pow x 2))) y)) (+ (* 1/2 (/ (* z (+ (* -1 (pow t 2)) (pow t 2))) y)) (+ (* t z) (+ (/ (* z (- (* 1/2 (+ (* -1 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/6 (pow t 3)))))) (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (* 1/12 (pow t 4)))))) (+ (* -1/2 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (* -1/2 (pow t 3))))) (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2))))))) (pow y 3)) (/ (* z (- (* 1/2 (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3))))) (* 1/2 (pow t 3)))) (pow y 2))))))))))> |
#<alt (+ x (+ (* -1 (* x z)) (* t z)))> |
#<alt (+ x (+ (* -1 (* x z)) (+ (* -1 (/ (+ (* -1/2 (* z (+ (* -1 (pow t 2)) (pow t 2)))) (* 1/2 (* z (+ (* -1 (pow x 2)) (pow x 2))))) y)) (* t z))))> |
#<alt (+ x (+ (* -1 (* x z)) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* z (- (* 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))))) (* z (- (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) (* -1/2 (pow x 3))))) y)) (+ (* -1/2 (* z (+ (* -1 (pow t 2)) (pow t 2)))) (* 1/2 (* z (+ (* -1 (pow x 2)) (pow x 2)))))) y)) (* t z))))> |
#<alt (+ x (+ (* -1 (* x z)) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* z (- (* 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 (/ (+ (* -1 (* z (- (* 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))))))))))) (* z (- (* 1/2 (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (+ (* 1/12 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))))) (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (* 1/2 (* x (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))))) y)) (* z (- (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) (* -1/2 (pow x 3)))))) y)) (+ (* -1/2 (* z (+ (* -1 (pow t 2)) (pow t 2)))) (* 1/2 (* z (+ (* -1 (pow x 2)) (pow x 2)))))) y)) (* t z))))> |
#<alt x> |
#<alt (+ x (* z (+ (* -1 (* y (- (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (* y (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))))> |
#<alt (+ x (* z (+ (* -1 (* y (- (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (* y (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))))> |
#<alt (+ x (* z (+ (* -1 (* y (- (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (* y (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))))> |
#<alt (* z (+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))> |
#<alt (* z (+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (/ x z) (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))> |
#<alt (* z (+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (/ x z) (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))> |
#<alt (* z (+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (/ x z) (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))> |
#<alt (* -1 (* z (+ (* -1 (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))> |
#<alt (* -1 (* z (+ (* -1 (/ x z)) (+ (* -1 (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* -1 (* z (+ (* -1 (/ x z)) (+ (* -1 (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* -1 (* z (+ (* -1 (/ x z)) (+ (* -1 (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (/ (* y (* z (- (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))> |
#<alt (+ (* x (+ 1 (* -1 z))) (/ (* y (* z (- (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))> |
#<alt (+ (* x (+ 1 (+ (* -1 z) (* 1/3 (/ (* (pow x 2) z) (pow y 2)))))) (/ (* y (* z (- (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))> |
#<alt (+ (* x (+ 1 (+ (* -1 z) (* (pow x 2) (+ (* -2/15 (/ (* (pow x 2) z) (pow y 4))) (* 1/3 (/ z (pow y 2)))))))) (/ (* y (* z (- (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))> |
#<alt x> |
#<alt (* x (+ 1 (+ (* -1 (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (* x (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (/ (* y (* z (- (exp (/ t y)) (/ 1 (exp (/ t y)))))) (* x (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))> |
#<alt (* x (+ 1 (+ (* -1 (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (* x (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (/ (* y (* z (- (exp (/ t y)) (/ 1 (exp (/ t y)))))) (* x (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))> |
#<alt (* x (+ 1 (+ (* -1 (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (* x (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (/ (* y (* z (- (exp (/ t y)) (/ 1 (exp (/ t y)))))) (* x (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (+ (* -1 (/ (* y (* z (- (exp (/ x y)) (/ 1 (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)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ (* -1 (/ (* y (* z (- (exp (/ x y)) (/ 1 (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)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ (* -1 (/ (* y (* z (- (exp (/ x y)) (/ 1 (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)) 1)))> |
#<alt t> |
#<alt (* t (+ 1 (* -1/3 (/ (pow t 2) (pow y 2)))))> |
#<alt (* t (+ 1 (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 4))) (* 1/3 (/ 1 (pow y 2)))))))> |
#<alt (* t (+ 1 (* (pow t 2) (- (* (pow t 2) (+ (* -17/315 (/ (pow t 2) (pow y 6))) (* 2/15 (/ 1 (pow y 4))))) (* 1/3 (/ 1 (pow y 2)))))))> |
#<alt (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))> |
#<alt (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))> |
#<alt (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))> |
#<alt (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))> |
#<alt (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))> |
#<alt (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))> |
#<alt (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))> |
#<alt (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))> |
#<alt (* y (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))> |
#<alt (* y (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))> |
#<alt (* y (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))> |
#<alt (* y (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))> |
#<alt t> |
#<alt (+ t (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y)))> |
#<alt (- (+ t (+ (* 1/2 (/ (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y)))) (* 1/2 (/ (pow t 3) (pow y 2))))> |
#<alt (- (+ t (+ (* 1/2 (/ (+ (* -1 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/6 (pow t 3)))))) (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (* 1/12 (pow t 4))))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y))))) (+ (* -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))))))> |
#<alt t> |
#<alt (+ t (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y)))> |
#<alt (+ t (* -1 (/ (- (+ (* -1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (/ (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))) y))) (* -1/2 (/ (pow t 3) y))) y)))> |
#<alt (+ t (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (- (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))) (* -1/2 (pow t 3)))) (* 1/2 (/ (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (+ (* 1/12 (pow t 4)) (* t (+ (* -1/6 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))))))) y))) (+ (* 1/4 (/ (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2))) y)) (* 1/2 (/ (* t (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))) y)))) y)) (* -1/2 (+ (* -1 (pow t 2)) (pow t 2)))) y)))> |
#<alt (/ t y)> |
#<alt (* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y)))> |
#<alt (* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y)))> |
#<alt (* t (+ (* (pow t 2) (- (* (pow t 2) (+ (* -17/315 (/ (pow t 2) (pow y 7))) (* 2/15 (/ 1 (pow y 5))))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y)))> |
#<alt (/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))> |
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#<alt (/ t y)> |
#<alt (/ (+ t (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y))) y)> |
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#<alt (/ (- (+ t (+ (* 1/2 (/ (+ (* -1 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/6 (pow t 3)))))) (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (* 1/12 (pow t 4))))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y))))) (+ (* -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)> |
#<alt (/ t y)> |
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#<alt (/ t y)> |
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#<alt x> |
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#<alt x> |
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#<alt x> |
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#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
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#<alt x> |
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#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* 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)))> |
#<alt (* 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)))> |
#<alt (* 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)))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* -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)))))> |
#<alt (* -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)))))> |
#<alt (* -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)))))> |
#<alt (+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
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#<alt (+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
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#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
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#<alt x> |
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#<alt x> |
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#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
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#<alt (* 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)))> |
#<alt (* 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)))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* -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)))))> |
#<alt (* -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)))))> |
#<alt (* -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)))))> |
#<alt (+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
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#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt x> |
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#<alt (* t z)> |
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#<alt (+ (* x (+ 1 (+ (* -1 z) (* 1/3 (/ (* (pow x 2) z) (pow y 2)))))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))> |
#<alt (+ (* x (+ 1 (+ (* -1 z) (* (pow x 2) (+ (* -2/15 (/ (* (pow x 2) z) (pow y 4))) (* 1/3 (/ z (pow y 2)))))))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))> |
#<alt x> |
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#<alt (* x (+ 1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)))> |
#<alt (* x (+ 1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)))> |
#<alt x> |
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#<alt x> |
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#<alt (+ x (* -1 (* z (- (* -1 t) (* -1 x)))))> |
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#<alt x> |
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#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
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#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
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#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* z (- t x))> |
#<alt (+ (* 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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#<alt (* -1 (* z (- (* -1 t) (* -1 x))))> |
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#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
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#<alt x> |
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#<alt (+ x (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
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#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
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#<alt x> |
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#<alt (+ (* -1 (/ y x)) (* t (- (* -1 (/ (* t y) (pow x 3))) (/ y (pow x 2)))))> |
#<alt (+ (* -1 (/ y x)) (* t (- (* t (- (* -1 (/ (* t y) (pow x 4))) (/ y (pow x 3)))) (/ y (pow x 2)))))> |
#<alt (/ y t)> |
#<alt (/ (+ y (/ (* x y) t)) t)> |
#<alt (/ (- (+ y (/ (* (pow x 2) y) (pow t 2))) (* -1 (/ (* x y) t))) t)> |
#<alt (/ (- (+ y (/ (* (pow x 3) y) (pow t 3))) (+ (* -1 (/ (* x y) t)) (* -1 (/ (* (pow x 2) y) (pow t 2))))) t)> |
#<alt (/ y t)> |
#<alt (* -1 (/ (+ (* -1 y) (* -1 (/ (* x y) t))) t))> |
#<alt (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* x y) (/ (* (pow x 2) y) t)) t))) t))> |
#<alt (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow x 2) y)) (* -1 (/ (* (pow x 3) y) t))) t)) (* x y)) t))) t))> |
#<alt (/ y t)> |
#<alt (+ (/ y t) (/ (* x y) (pow t 2)))> |
#<alt (+ (* x (- (/ (* x y) (pow t 3)) (* -1 (/ y (pow t 2))))) (/ y t))> |
#<alt (+ (* x (- (* x (- (/ (* x y) (pow t 4)) (* -1 (/ y (pow t 3))))) (* -1 (/ y (pow t 2))))) (/ y t))> |
#<alt (* -1 (/ y x))> |
#<alt (/ (+ (* -1 y) (* -1 (/ (* t y) x))) x)> |
#<alt (/ (- (+ (* -1 y) (* -1 (/ (* (pow t 2) y) (pow x 2)))) (/ (* t y) x)) x)> |
#<alt (/ (- (+ (* -1 y) (* -1 (/ (* (pow t 3) y) (pow x 3)))) (+ (/ (* t y) x) (/ (* (pow t 2) y) (pow x 2)))) x)> |
#<alt (* -1 (/ y x))> |
#<alt (* -1 (/ (+ y (/ (* t y) x)) x))> |
#<alt (* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (* (pow t 2) y) x)) (* t y)) x))) x))> |
#<alt (* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (- (/ (* (pow t 3) y) x) (* -1 (* (pow t 2) y))) x)) (* t y)) x))) x))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* z (- t x))> |
#<alt (+ (* z (- t x)) (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y))> |
#<alt (+ (* 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))))> |
#<alt (+ (* 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)))))> |
#<alt (* -1 (* z (- (* -1 t) (* -1 x))))> |
#<alt (+ (* -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))> |
#<alt (+ (* -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)))> |
#<alt (+ (* -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)))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))> |
#<alt (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))> |
#<alt (+ (* -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))))))))))> |
#<alt (+ (* 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))))))))))> |
#<alt (+ (* 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))))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
234 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 22.0ms | y | @ | 0 | (/ (- (neg y) (/ (+ (* (* x x) (/ y t)) (* y x)) t)) (neg t)) |
| 4.0ms | y | @ | -inf | (tanh (/ t y)) |
| 1.0ms | z | @ | 0 | (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) |
| 1.0ms | y | @ | -inf | (/ (- (neg y) (/ (+ (* (* x x) (/ y t)) (* y x)) t)) (neg t)) |
| 1.0ms | y | @ | inf | (+ (* (* (tanh (/ t y)) y) z) (+ (* (tanh (/ x y)) (* z (neg y))) x)) |
| 1× | egg-herbie |
| 12 758× | lower-fma.f64 |
| 12 758× | lower-fma.f32 |
| 7 110× | lower-+.f64 |
| 7 110× | lower-+.f32 |
| 5 008× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 995 | 32712 |
| 1 | 3303 | 28589 |
| 0 | 8955 | 27797 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (* -1 (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(+ x (+ (* -1 (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (* t z))) |
(+ x (+ (* -1 (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))))) |
(+ x (+ (* -1 (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))))) |
(+ x (+ (* -1 (/ (* y (* z (- (exp (/ x y)) (/ 1 (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 (+ (* -1 (/ (* y (* z (- (exp (/ x y)) (/ 1 (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 (+ (* -1 (/ (* y (* z (- (exp (/ x y)) (/ 1 (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 (+ (* -1 (/ (* y (* z (- (exp (/ x y)) (/ 1 (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 (+ (* -1 (/ (* y (* z (- (exp (/ x y)) (/ 1 (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 (+ (* -1 (/ (* y (* z (- (exp (/ x y)) (/ 1 (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 (+ (* -1 (/ (* y (* z (- (exp (/ x y)) (/ 1 (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 (+ (* -1 (/ (* y (* z (- (exp (/ x y)) (/ 1 (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 |
(+ x (* y (+ (* -1 (/ (* z (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (* z (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))) |
(+ x (* y (+ (* -1 (/ (* z (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (* z (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))) |
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(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* y (* z (- (/ (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)))))))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
| Outputs |
|---|
(+ x (* -1 (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(-.f64 x (/.f64 (*.f64 (*.f64 y z) (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))))) |
(+ x (+ (* -1 (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (* t z))) |
(fma.f64 (neg.f64 (*.f64 y z)) (/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) (fma.f64 z t x)) |
(+ x (+ (* -1 (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))))) |
(fma.f64 (neg.f64 (*.f64 y z)) (/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) (fma.f64 t (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 z (*.f64 t t)) (*.f64 y y)) z) x)) |
(+ x (+ (* -1 (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))))) |
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(+ x (+ (* -1 (/ (* y (* z (- (exp (/ x y)) (/ 1 (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))))))) |
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(+ x (+ (* -1 (/ (* y (* z (- (exp (/ x y)) (/ 1 (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))))))) |
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(+ x (+ (* -1 (/ (* y (* z (- (exp (/ x y)) (/ 1 (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))))))) |
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x |
(+ x (* y (+ (* -1 (/ (* z (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (* z (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))) |
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(+ x (* y (+ (* -1 (/ (* z (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (* z (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))) |
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(+ x (* y (+ (* -1 (/ (* z (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (* z (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))) |
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(+ x (+ (* -1 (* x z)) (* t z))) |
(fma.f64 z (-.f64 t x) x) |
(+ x (+ (* -1 (* x z)) (+ (* -1/2 (/ (* z (+ (* -1 (pow x 2)) (pow x 2))) y)) (+ (* 1/2 (/ (* z (+ (* -1 (pow t 2)) (pow t 2))) y)) (* t z))))) |
(+.f64 x (+.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 #s(literal 0 binary64) y)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 0 binary64))) y)) (*.f64 z (-.f64 t x)))) |
(+ x (+ (* -1 (* x z)) (+ (* -1 (/ (* z (- (* 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 x 3)))) (pow y 2))) (+ (* -1/2 (/ (* z (+ (* -1 (pow x 2)) (pow x 2))) y)) (+ (* 1/2 (/ (* z (+ (* -1 (pow t 2)) (pow t 2))) y)) (+ (* t z) (/ (* z (- (* 1/2 (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3))))) (* 1/2 (pow t 3)))) (pow y 2)))))))) |
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(+ x (+ (* -1 (* x z)) (+ (* -1 (/ (* z (- (* 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)))))) (+ (* -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))))))) (pow y 3))) (+ (* -1 (/ (* z (- (* 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 x 3)))) (pow y 2))) (+ (* -1/2 (/ (* z (+ (* -1 (pow x 2)) (pow x 2))) y)) (+ (* 1/2 (/ (* z (+ (* -1 (pow t 2)) (pow t 2))) y)) (+ (* t z) (+ (/ (* z (- (* 1/2 (+ (* -1 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/6 (pow t 3)))))) (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (* 1/12 (pow t 4)))))) (+ (* -1/2 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (* -1/2 (pow t 3))))) (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2))))))) (pow y 3)) (/ (* z (- (* 1/2 (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3))))) (* 1/2 (pow t 3)))) (pow y 2)))))))))) |
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(+ x (+ (* -1 (* x z)) (* t z))) |
(fma.f64 z (-.f64 t x) x) |
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(*.f64 y (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y)))))))))) |
(* 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 y (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y)))))))))) |
(* 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 y (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y)))))))))) |
(* 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 y (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y)))))))))) |
(* 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 y (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y)))))))))) |
| 1× | batch-egg-rewrite |
| 7 900× | lower-*.f32 |
| 7 882× | lower-*.f64 |
| 4 364× | lower-/.f32 |
| 4 346× | lower-/.f64 |
| 3 078× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 449 |
| 0 | 94 | 434 |
| 1 | 383 | 409 |
| 2 | 3288 | 404 |
| 0 | 10677 | 400 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) z (fma.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y)) x)) |
(*.f64 (tanh.f64 (/.f64 t y)) y) |
(tanh.f64 (/.f64 t y)) |
(/.f64 t y) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))) |
#s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x))) |
(*.f64 z (-.f64 t x)) |
(-.f64 t x) |
(/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (+.f64 t x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (+.f64 t x)) x)) |
(fma.f64 z (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (+.f64 t x)) x) |
(*.f64 (+.f64 t x) (-.f64 t x)) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 x (/.f64 y t) y) t)))))) |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 x (/.f64 y t) y) t))))) |
(*.f64 y z) |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 x (/.f64 y t) y) t)))) |
(fma.f64 (*.f64 x x) (/.f64 y t) (*.f64 y x)) |
(/.f64 (-.f64 (neg.f64 y) (/.f64 (fma.f64 (*.f64 x x) (/.f64 y t) (*.f64 y x)) t)) (neg.f64 t)) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (-.f64 (neg.f64 y) (/.f64 (fma.f64 (*.f64 x x) (/.f64 y t) (*.f64 y x)) t)) (neg.f64 t))))))) |
(-.f64 (neg.f64 y) (/.f64 (fma.f64 (*.f64 x x) (/.f64 y t) (*.f64 y x)) t)) |
(fma.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y)) x) |
#s(approx (/ y (- t x)) (/.f64 (fma.f64 x (/.f64 y t) y) t)) |
(fma.f64 x (/.f64 y t) y) |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (-.f64 (neg.f64 y) (/.f64 (fma.f64 (*.f64 x x) (/.f64 y t) (*.f64 y x)) t)) (neg.f64 t))))) |
#s(approx (/ y (- t x)) (/.f64 (-.f64 (neg.f64 y) (/.f64 (fma.f64 (*.f64 x x) (/.f64 y t) (*.f64 y x)) t)) (neg.f64 t))) |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (-.f64 (neg.f64 y) (/.f64 (fma.f64 (*.f64 x x) (/.f64 y t) (*.f64 y x)) t)) (neg.f64 t)))))) |
| Outputs |
|---|
(+.f64 x (fma.f64 (tanh.f64 (/.f64 t y)) (*.f64 y z) (*.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y))))) |
(+.f64 (fma.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y)) x) (*.f64 (tanh.f64 (/.f64 t y)) (*.f64 y z))) |
(+.f64 (*.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y))) (+.f64 x (*.f64 (tanh.f64 (/.f64 t y)) (*.f64 y z)))) |
(+.f64 (*.f64 (tanh.f64 (/.f64 t y)) (*.f64 y z)) (fma.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y)) x)) |
(+.f64 (fma.f64 (tanh.f64 (/.f64 t y)) (*.f64 y z) (*.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y)))) x) |
(+.f64 (fma.f64 (tanh.f64 (/.f64 t y)) (*.f64 y z) x) (*.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (tanh.f64 (/.f64 t y)) (*.f64 y z)) #s(literal 2 binary64)) (-.f64 (*.f64 (tanh.f64 (/.f64 t y)) (*.f64 y z)) (fma.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y)) x))) (/.f64 (pow.f64 (fma.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y)) x) #s(literal 2 binary64)) (-.f64 (*.f64 (tanh.f64 (/.f64 t y)) (*.f64 y z)) (fma.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y)) x)))) |
(fma.f64 y (*.f64 (tanh.f64 (/.f64 t y)) z) (fma.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y)) x)) |
(fma.f64 (tanh.f64 (/.f64 t y)) (*.f64 y z) (fma.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y)) x)) |
(fma.f64 (*.f64 y (tanh.f64 (/.f64 t y))) z (fma.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y)) x)) |
(fma.f64 z (*.f64 y (tanh.f64 (/.f64 t y))) (fma.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y)) x)) |
(fma.f64 z (*.f64 (neg.f64 y) (tanh.f64 (/.f64 x y))) (+.f64 x (*.f64 (tanh.f64 (/.f64 t y)) (*.f64 y z)))) |
(fma.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y)) (+.f64 x (*.f64 (tanh.f64 (/.f64 t y)) (*.f64 y z)))) |
(fma.f64 (neg.f64 y) (*.f64 z (tanh.f64 (/.f64 x y))) (+.f64 x (*.f64 (tanh.f64 (/.f64 t y)) (*.f64 y z)))) |
(fma.f64 (*.f64 z (neg.f64 y)) (tanh.f64 (/.f64 x y)) (+.f64 x (*.f64 (tanh.f64 (/.f64 t y)) (*.f64 y z)))) |
(fma.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)) (fma.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y)) x)) |
(fma.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y)))) (pow.f64 (*.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y))) #s(literal 2 binary64)))) (*.f64 (tanh.f64 (/.f64 t y)) (*.f64 y z))) |
(fma.f64 (-.f64 (pow.f64 (*.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y))) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y)) (neg.f64 x))) (*.f64 (tanh.f64 (/.f64 t y)) (*.f64 y z))) |
(fma.f64 (*.f64 z (tanh.f64 (/.f64 x y))) (neg.f64 y) (+.f64 x (*.f64 (tanh.f64 (/.f64 t y)) (*.f64 y z)))) |
(fma.f64 (*.f64 z (tanh.f64 (/.f64 t y))) y (fma.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y)) x)) |
(fma.f64 (*.f64 (tanh.f64 (/.f64 t y)) z) y (fma.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y)) x)) |
(fma.f64 (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y)) z (+.f64 x (*.f64 (tanh.f64 (/.f64 t y)) (*.f64 y z)))) |
(fma.f64 (*.f64 (*.f64 z (tanh.f64 (/.f64 x y))) #s(literal -1 binary64)) y (+.f64 x (*.f64 (tanh.f64 (/.f64 t y)) (*.f64 y z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y)) x) (-.f64 (fma.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y)) x) (*.f64 (tanh.f64 (/.f64 t y)) (*.f64 y z))) (pow.f64 (*.f64 (tanh.f64 (/.f64 t y)) (*.f64 y z)) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (tanh.f64 (/.f64 t y)) (*.f64 y z)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y)) x) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (tanh.f64 (/.f64 t y)) (*.f64 y z)) (fma.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y)) x)) (-.f64 (pow.f64 (*.f64 (tanh.f64 (/.f64 t y)) (*.f64 y z)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y)) x) #s(literal 2 binary64))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (tanh.f64 (/.f64 t y)) (*.f64 y z)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y)) x) #s(literal 3 binary64))) (fma.f64 (fma.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y)) x) (-.f64 (fma.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y)) x) (*.f64 (tanh.f64 (/.f64 t y)) (*.f64 y z))) (pow.f64 (*.f64 (tanh.f64 (/.f64 t y)) (*.f64 y z)) #s(literal 2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (tanh.f64 (/.f64 t y)) (*.f64 y z)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y)) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y)) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (tanh.f64 (/.f64 t y)) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 (tanh.f64 (/.f64 t y)) (*.f64 (*.f64 y z) (fma.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y)) x)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (tanh.f64 (/.f64 t y)) (*.f64 y z)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y)) x) #s(literal 2 binary64))) (-.f64 (*.f64 (tanh.f64 (/.f64 t y)) (*.f64 y z)) (fma.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y)) x))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (tanh.f64 (/.f64 t y)) (*.f64 y z)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y)) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y)) x) (-.f64 (fma.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y)) x) (*.f64 (tanh.f64 (/.f64 t y)) (*.f64 y z))) (pow.f64 (*.f64 (tanh.f64 (/.f64 t y)) (*.f64 y z)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (tanh.f64 (/.f64 t y)) (*.f64 y z)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y)) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (tanh.f64 (/.f64 t y)) (*.f64 y z)) (fma.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y)) x)))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 (tanh.f64 (/.f64 t y)) (*.f64 y z) (*.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y)))) #s(literal 3 binary64)) (*.f64 x (*.f64 x x))) (+.f64 (pow.f64 (fma.f64 (tanh.f64 (/.f64 t y)) (*.f64 y z) (*.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y)))) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 (tanh.f64 (/.f64 t y)) (*.f64 y z) (*.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y)))) x)))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y)) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (tanh.f64 (/.f64 t y)) (*.f64 y z)) #s(literal 2 binary64))) (-.f64 (fma.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y)) x) (*.f64 (tanh.f64 (/.f64 t y)) (*.f64 y z)))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (tanh.f64 (/.f64 t y)) (*.f64 y z) (*.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y)))) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (fma.f64 (tanh.f64 (/.f64 t y)) (*.f64 y z) (*.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y)))) x)) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (tanh.f64 (/.f64 t y)) (*.f64 y z)) #s(literal 2 binary64)) (-.f64 (*.f64 (tanh.f64 (/.f64 t y)) (*.f64 y z)) (fma.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y)) x))) (*.f64 (-.f64 (*.f64 (tanh.f64 (/.f64 t y)) (*.f64 y z)) (fma.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y)) x)) (pow.f64 (fma.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y)) x) #s(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 (tanh.f64 (/.f64 t y)) (*.f64 y z)) (fma.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y)) x)) (-.f64 (*.f64 (tanh.f64 (/.f64 t y)) (*.f64 y z)) (fma.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y)) x)))) |
(pow.f64 (/.f64 (fma.f64 (fma.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y)) x) (-.f64 (fma.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y)) x) (*.f64 (tanh.f64 (/.f64 t y)) (*.f64 y z))) (pow.f64 (*.f64 (tanh.f64 (/.f64 t y)) (*.f64 y z)) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (tanh.f64 (/.f64 t y)) (*.f64 y z)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y)) x) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (*.f64 (tanh.f64 (/.f64 t y)) (*.f64 y z)) (fma.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y)) x)) (-.f64 (pow.f64 (*.f64 (tanh.f64 (/.f64 t y)) (*.f64 y z)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y)) x) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(*.f64 (+.f64 (pow.f64 (*.f64 (tanh.f64 (/.f64 t y)) (*.f64 y z)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y)) x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y)) x) (-.f64 (fma.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y)) x) (*.f64 (tanh.f64 (/.f64 t y)) (*.f64 y z))) (pow.f64 (*.f64 (tanh.f64 (/.f64 t y)) (*.f64 y z)) #s(literal 2 binary64))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (tanh.f64 (/.f64 t y)) (*.f64 y z)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y)) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (tanh.f64 (/.f64 t y)) (*.f64 y z)) (fma.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y)) x)))) |
(/.f64 (*.f64 y (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y)))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))) |
(/.f64 (*.f64 y (expm1.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64))))) |
(/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y)))) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y)))) |
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(*.f64 (-.f64 (*.f64 y y) (/.f64 (*.f64 (*.f64 x (fma.f64 y (/.f64 x t) y)) (*.f64 x (fma.f64 y (/.f64 x t) y))) (*.f64 t t))) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 y) (/.f64 (*.f64 x (fma.f64 y (/.f64 x t) y)) t)))) |
(+.f64 x (*.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y)))) |
(+.f64 (*.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y))) x) |
(-.f64 (/.f64 (pow.f64 (*.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y))) #s(literal 2 binary64)) (fma.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y)) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y)) (neg.f64 x)))) |
(fma.f64 z (*.f64 (neg.f64 y) (tanh.f64 (/.f64 x y))) x) |
(fma.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y)) x) |
(fma.f64 (neg.f64 y) (*.f64 z (tanh.f64 (/.f64 x y))) x) |
(fma.f64 (*.f64 z (neg.f64 y)) (tanh.f64 (/.f64 x y)) x) |
(fma.f64 (*.f64 z (tanh.f64 (/.f64 x y))) (neg.f64 y) x) |
(fma.f64 (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y)) z x) |
(fma.f64 (*.f64 (*.f64 z (tanh.f64 (/.f64 x y))) #s(literal -1 binary64)) y x) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y)))) (pow.f64 (*.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y))) #s(literal 2 binary64))) (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y))) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y)) (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y))) #s(literal 2 binary64)) (*.f64 x x)))) |
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y))) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y)))) (pow.f64 (*.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y))) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y))) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y))) #s(literal 2 binary64)) (*.f64 (tanh.f64 (/.f64 x y)) (*.f64 (*.f64 z (neg.f64 y)) x))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y))) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y)) (neg.f64 x))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y)))) (pow.f64 (*.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y))) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y))) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y)) (neg.f64 x)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y))) #s(literal 2 binary64))) (-.f64 x (*.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y))) #s(literal 2 binary64)) (fma.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y)) (neg.f64 x))) (*.f64 (fma.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y)) (neg.f64 x)) (*.f64 x x))) (pow.f64 (fma.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y)) (neg.f64 x)) #s(literal 2 binary64))) |
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y)))) (pow.f64 (*.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y))) #s(literal 2 binary64))) (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y))) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y)) (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y))) #s(literal 2 binary64)) (*.f64 x x))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y)))) (pow.f64 (*.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y))) #s(literal 2 binary64))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y))) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y)) (neg.f64 x)))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 #s(approx (/ y (- t x)) (/.f64 (fma.f64 y (/.f64 x t) y) t))) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 y (/.f64 x t) y) t)))) |
(/.f64 #s(approx (/ y (- t x)) (/.f64 (fma.f64 y (/.f64 x t) y) t)) #s(literal 1 binary64)) |
(/.f64 (neg.f64 #s(approx (/ y (- t x)) (/.f64 (fma.f64 y (/.f64 x t) y) t))) #s(literal -1 binary64)) |
#s(approx (/ y (- t x)) (/.f64 (fma.f64 y (/.f64 x t) y) t)) |
(pow.f64 #s(approx (/ y (- t x)) (/.f64 (fma.f64 y (/.f64 x t) y) t)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 y (/.f64 x t) y) t))) #s(literal -1 binary64)) |
(*.f64 #s(approx (/ y (- t x)) (/.f64 (fma.f64 y (/.f64 x t) y) t)) #s(literal 1 binary64)) |
(+.f64 y (/.f64 (*.f64 y x) t)) |
(+.f64 (/.f64 (*.f64 y x) t) y) |
(-.f64 (/.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 t t)) (-.f64 (/.f64 (*.f64 y x) t) y)) (/.f64 (*.f64 y y) (-.f64 (/.f64 (*.f64 y x) t) y))) |
(fma.f64 y (*.f64 (/.f64 #s(literal 1 binary64) t) x) y) |
(fma.f64 y (/.f64 x t) y) |
(fma.f64 x (/.f64 y t) y) |
(fma.f64 (/.f64 y t) x y) |
(fma.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) t) y) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y (/.f64 (*.f64 y x) t)) (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 t t))) (fma.f64 y (*.f64 y y) (/.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 t (*.f64 t t)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 y x) t) y) (-.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 t t)) (*.f64 y y)))) |
(/.f64 (fma.f64 y (*.f64 y y) (/.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 t (*.f64 t t)))) (fma.f64 y (-.f64 y (/.f64 (*.f64 y x) t)) (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 t t)))) |
(/.f64 (fma.f64 y (*.f64 y y) (/.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 t (*.f64 t t)))) (fma.f64 y y (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y x) t) (*.f64 y x)) (*.f64 (*.f64 y x) y)) t))) |
(/.f64 (-.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 t t)) (*.f64 y y)) (-.f64 (/.f64 (*.f64 y x) t) y)) |
(/.f64 (neg.f64 (fma.f64 y (*.f64 y y) (/.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 t (*.f64 t t))))) (neg.f64 (fma.f64 y (-.f64 y (/.f64 (*.f64 y x) t)) (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 t t))))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 t t)) (*.f64 y y))) (neg.f64 (-.f64 (/.f64 (*.f64 y x) t) y))) |
(/.f64 (-.f64 (*.f64 y y) (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 t t))) (-.f64 y (/.f64 (*.f64 y x) t))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 t t)) (-.f64 (/.f64 (*.f64 y x) t) y)) (*.f64 (-.f64 (/.f64 (*.f64 y x) t) y) (*.f64 y y))) (*.f64 (-.f64 (/.f64 (*.f64 y x) t) y) (-.f64 (/.f64 (*.f64 y x) t) y))) |
(pow.f64 (/.f64 (fma.f64 y (-.f64 y (/.f64 (*.f64 y x) t)) (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 t t))) (fma.f64 y (*.f64 y y) (/.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 t (*.f64 t t))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (/.f64 (*.f64 y x) t) y) (-.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 t t)) (*.f64 y y))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 y (*.f64 y y) (/.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 t (*.f64 t t)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (/.f64 (*.f64 y x) t)) (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 t t))))) |
(*.f64 (-.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 t t)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 y x) t) y))) |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (-.f64 y (/.f64 (*.f64 x (fma.f64 y (/.f64 x t) y)) (neg.f64 t))) t)))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 #s(approx (/ y (- t x)) (/.f64 (-.f64 y (/.f64 (*.f64 x (fma.f64 y (/.f64 x t) y)) (neg.f64 t))) t))) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (-.f64 y (/.f64 (*.f64 x (fma.f64 y (/.f64 x t) y)) (neg.f64 t))) t)))) |
(/.f64 #s(approx (/ y (- t x)) (/.f64 (-.f64 y (/.f64 (*.f64 x (fma.f64 y (/.f64 x t) y)) (neg.f64 t))) t)) #s(literal 1 binary64)) |
(/.f64 (neg.f64 #s(approx (/ y (- t x)) (/.f64 (-.f64 y (/.f64 (*.f64 x (fma.f64 y (/.f64 x t) y)) (neg.f64 t))) t))) #s(literal -1 binary64)) |
#s(approx (/ y (- t x)) (/.f64 (-.f64 y (/.f64 (*.f64 x (fma.f64 y (/.f64 x t) y)) (neg.f64 t))) t)) |
(pow.f64 #s(approx (/ y (- t x)) (/.f64 (-.f64 y (/.f64 (*.f64 x (fma.f64 y (/.f64 x t) y)) (neg.f64 t))) t)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (-.f64 y (/.f64 (*.f64 x (fma.f64 y (/.f64 x t) y)) (neg.f64 t))) t))) #s(literal -1 binary64)) |
(*.f64 #s(approx (/ y (- t x)) (/.f64 (-.f64 y (/.f64 (*.f64 x (fma.f64 y (/.f64 x t) y)) (neg.f64 t))) t)) #s(literal 1 binary64)) |
(*.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (-.f64 y (/.f64 (*.f64 x (fma.f64 y (/.f64 x t) y)) (neg.f64 t))) t)))))) |
(*.f64 z (*.f64 y #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (-.f64 y (/.f64 (*.f64 x (fma.f64 y (/.f64 x t) y)) (neg.f64 t))) t)))))) |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (-.f64 y (/.f64 (*.f64 x (fma.f64 y (/.f64 x t) y)) (neg.f64 t))) t))))) |
(*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (-.f64 y (/.f64 (*.f64 x (fma.f64 y (/.f64 x t) y)) (neg.f64 t))) t)))) (*.f64 y z)) |
(*.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (-.f64 y (/.f64 (*.f64 x (fma.f64 y (/.f64 x t) y)) (neg.f64 t))) t))))) y) |
(*.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (-.f64 y (/.f64 (*.f64 x (fma.f64 y (/.f64 x t) y)) (neg.f64 t))) t)))) y) z) |
Compiled 57 970 to 3 645 computations (93.7% saved)
38 alts after pruning (33 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 568 | 17 | 1 585 |
| Fresh | 11 | 16 | 27 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 3 | 4 |
| Total | 1 583 | 38 | 1 621 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 89.2% | (fma.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) z (fma.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y)) x)) |
| 80.5% | (fma.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) z #s(approx (+ (* (tanh (/ x y)) (* z (neg y))) x) (fma.f64 x (neg.f64 z) x))) | |
| 42.7% | (fma.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) z #s(approx (+ (* (tanh (/ x y)) (* z (neg y))) x) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 z (*.f64 x x)) (*.f64 y y)) (-.f64 #s(literal 1 binary64) z))))) | |
| 54.7% | (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x) | |
| 59.8% | (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (-.f64 y (/.f64 (*.f64 x (fma.f64 y (/.f64 x t) y)) (neg.f64 t))) t)))) y) z x) | |
| 35.9% | (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (+ x (- (neg t) (/ (/ (- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6)) (neg y)) y))) (neg y)) (/.f64 (fma.f64 t (*.f64 (/.f64 (*.f64 t t) (*.f64 y y)) #s(literal -1/3 binary64)) t) y))) y) z x) | |
| ✓ | 97.3% | (fma.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y x) |
| 66.9% | (fma.f64 (*.f64 z (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y x) | |
| 31.9% | (fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 y (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y)))) y x) | |
| 27.8% | (fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x))))) y x) | |
| 53.8% | (fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x)))) y x) | |
| 48.9% | (fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 x (neg.f64 y))))) y x) | |
| 57.2% | (fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y)))) y x) | |
| 47.2% | (fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 x (+.f64 (/.f64 t (*.f64 y x)) (/.f64 #s(literal -1 binary64) y)))))) y x) | |
| 49.5% | (fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x) | |
| 63.6% | (+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))) | |
| 34.3% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 t x))) y)))) | |
| 58.9% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (-.f64 (neg.f64 y) (/.f64 #s(approx (+ (* (* x x) (/ y t)) (* y x)) (/.f64 (*.f64 y (*.f64 x x)) t)) t)) (neg.f64 t))))))) | |
| 34.7% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 #s(approx (- (neg y) (/ (+ (* (* x x) (/ y t)) (* y x)) t)) (/.f64 (*.f64 y (*.f64 x x)) (*.f64 t (neg.f64 t)))) (neg.f64 t))))))) | |
| 47.4% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 y (neg.f64 x))))))) | |
| 56.0% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 y t)))))) | |
| 32.2% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) #s(approx (/ (- (neg y) (/ (+ (* (* x x) (/ y t)) (* y x)) t)) (neg t)) (/.f64 (*.f64 y (*.f64 x x)) (*.f64 t (*.f64 t t))))))))) | |
| 27.9% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) #s(approx (/ (- (neg y) (/ (+ (* (* x x) (/ y t)) (* y x)) t)) (neg t)) (*.f64 (*.f64 x x) (-.f64 (/.f64 y (*.f64 t (*.f64 t t))) (/.f64 (-.f64 (neg.f64 (/.f64 y (*.f64 x t))) (/.f64 y (*.f64 t t))) x))))))))) | |
| 49.5% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))))) | |
| 56.0% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))))) | |
| 44.2% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(approx (* (+ t x) (- t x)) (*.f64 x (neg.f64 x))) (+.f64 t x)) x)) | |
| 54.7% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(approx (* (+ t x) (- t x)) (*.f64 t t)) (+.f64 t x)) x)) | |
| ✓ | 65.2% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)) |
| 57.7% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (/ (* (+ t x) (- t x)) (+ t x)) (neg.f64 x)) x)) | |
| 25.9% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (fma.f64 z t (*.f64 z (neg.f64 x))))) | |
| 26.3% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 t x))))) | |
| 7.9% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 (/.f64 (*.f64 (*.f64 z (-.f64 t x)) (+.f64 t x)) (fma.f64 t (*.f64 t t) (*.f64 x (*.f64 x x)))) (fma.f64 t t (*.f64 x (-.f64 x t)))))) | |
| 20.0% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 (*.f64 (*.f64 z (-.f64 t x)) (+.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 t x))))) | |
| ✓ | 26.4% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))) |
| 26.3% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (*.f64 (-.f64 t x) (*.f64 (+.f64 t x) (/.f64 #s(literal 1 binary64) (+.f64 t x))))))) | |
| 26.2% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z #s(approx (- t x) (fma.f64 t (/.f64 x (neg.f64 t)) t))))) | |
| 12.9% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z #s(approx (- t x) (neg.f64 x))))) | |
| ✓ | 18.4% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) |
Compiled 2 093 to 737 computations (64.8% saved)
| Inputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z #s(approx (- t x) (neg.f64 x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (neg.f64 x)) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (/ (* (+ t x) (- t x)) (+ t x)) (neg.f64 x)) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 z (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (fma.f64 z t (*.f64 z (neg.f64 x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (+.f64 t (-.f64 (/.f64 x z) x))))) |
(fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y)))) y x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z #s(approx (- t x) (fma.f64 t (/.f64 x (neg.f64 t)) t))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))))) |
(fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 x (neg.f64 y))))) y x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 t x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(approx (* (+ t x) (- t x)) (*.f64 t t)) (+.f64 t x)) x)) |
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x) |
(fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) y x) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(approx (* (+ t x) (- t x)) (*.f64 x (neg.f64 x))) (+.f64 t x)) x)) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) |
(fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x)))) y x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (+.f64 t x)) x)) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (*.f64 (-.f64 t x) (*.f64 (+.f64 t x) (/.f64 #s(literal 1 binary64) (+.f64 t x))))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 (*.f64 (*.f64 z (-.f64 t x)) (+.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 t x))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 y t)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 t x))) x)) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 y (neg.f64 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)))))) |
(fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x))))) y x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x)))))) |
(fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 x (+.f64 (/.f64 t (*.f64 y x)) (/.f64 #s(literal -1 binary64) y)))))) y x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 x (+.f64 (/.f64 t (*.f64 x y)) (/.f64 #s(literal -1 binary64) y))))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (+ x (- (neg t) (/ (/ (- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6)) (neg y)) y))) (neg y)) (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) (*.f64 y (*.f64 y y))))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 x (/.f64 y t) y) t)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (*.f64 (fma.f64 x (+.f64 t x) (*.f64 t t)) (-.f64 t x)) (fma.f64 x (+.f64 t x) (*.f64 t t))) x)) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (neg.f64 (/.f64 (fma.f64 t (/.f64 y x) y) x))))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 t x))) y)))) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (+ x (- (neg t) (/ (/ (- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6)) (neg y)) y))) (neg y)) (/.f64 (fma.f64 t (*.f64 (/.f64 (*.f64 t t) (*.f64 y y)) #s(literal -1/3 binary64)) t) y))) y) z x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) #s(approx (/ (- (neg y) (/ (+ (* (* x x) (/ y t)) (* y x)) t)) (neg t)) (/.f64 (*.f64 y (*.f64 x x)) (*.f64 t (*.f64 t t))))))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (+ x (- (neg t) (/ (/ (- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6)) (neg y)) y))) (neg y)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y y)) t) y))))) |
(fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 y (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y)))) y x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 y (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 #s(approx (- (neg y) (/ (+ (* (* x x) (/ y t)) (* y x)) t)) (/.f64 (*.f64 y (*.f64 x x)) (*.f64 t (neg.f64 t)))) (neg.f64 t))))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 (/.f64 (*.f64 (*.f64 z (-.f64 t x)) (+.f64 t x)) (fma.f64 t (*.f64 t t) (*.f64 x (*.f64 x x)))) (fma.f64 t t (*.f64 x (-.f64 x t)))))) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (-.f64 y (/.f64 (*.f64 x (fma.f64 y (/.f64 x t) y)) (neg.f64 t))) t)))) y) z x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (-.f64 (neg.f64 y) (/.f64 #s(approx (+ (* (* x x) (/ y t)) (* y x)) (/.f64 (*.f64 y (*.f64 x x)) t)) t)) (neg.f64 t))))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 (*.f64 x x) (/.f64 y (*.f64 t t)) (fma.f64 x (/.f64 y t) y)) t)))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (-.f64 y (/.f64 (neg.f64 (fma.f64 (*.f64 t t) (/.f64 y x) (*.f64 y t))) x)) (neg.f64 x))))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (-.f64 (neg.f64 y) (/.f64 (fma.f64 (*.f64 x x) (/.f64 y t) (*.f64 y x)) t)) (neg.f64 t))))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 z (-.f64 t x)) (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x)))))) (fma.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))) (*.f64 x (-.f64 x (*.f64 z (-.f64 t x))))))) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 z (+.f64 x (neg.f64 t)) (/.f64 (fma.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (/.f64 z y) (*.f64 z #s(literal 0 binary64))) y))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) #s(approx (/ (- (neg y) (/ (+ (* (* x x) (/ y t)) (* y x)) t)) (neg t)) (*.f64 (*.f64 x x) (-.f64 (/.f64 y (*.f64 t (*.f64 t t))) (/.f64 (-.f64 (neg.f64 (/.f64 y (*.f64 x t))) (/.f64 y (*.f64 t t))) x))))))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 x (-.f64 (neg.f64 t) (/.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y)) y))) (neg.f64 y))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (-.f64 (neg.f64 y) (/.f64 (-.f64 (*.f64 y x) (/.f64 (neg.f64 (fma.f64 y (*.f64 x x) (/.f64 (*.f64 y (*.f64 x (*.f64 x x))) t))) t)) t)) (neg.f64 t))))))) |
(fma.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) z #s(approx (+ (* (tanh (/ x y)) (* z (neg y))) x) (fma.f64 x (neg.f64 z) x))) |
(+.f64 x (fma.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)) (neg.f64 #s(approx (* (* y z) (tanh (/ x y))) (*.f64 z x))))) |
(fma.f64 (*.f64 z (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y x) |
(fma.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) y x) |
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 z y) x) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) |
(fma.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) z #s(approx (+ (* (tanh (/ x y)) (* z (neg y))) x) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 z (*.f64 x x)) (*.f64 y y)) (-.f64 #s(literal 1 binary64) z))))) |
(+.f64 x (fma.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)) (neg.f64 #s(approx (* (* y z) (tanh (/ x y))) (*.f64 x (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 z (*.f64 x x)) (*.f64 y y)) z)))))) |
(fma.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (*.f64 x (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) y)))))) y x) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (*.f64 t (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 t t) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) y)))) (tanh.f64 (/.f64 x y))))) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (fma.f64 x (/.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 y (*.f64 y y))) (/.f64 x y)))))) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 (-.f64 (neg.f64 x) (/.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) (neg.f64 y)) y)) (neg.f64 y)))))) |
(fma.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y x) |
(+.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)) y) z (fma.f64 (tanh.f64 (/.f64 x y)) (*.f64 z (neg.f64 y)) x)) |
(+.f64 x (fma.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)) (neg.f64 (*.f64 (*.f64 y z) (tanh.f64 (/.f64 x y)))))) |
| Outputs |
|---|
(fma.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y x) |
5 calls:
| 44.0ms | y |
| 26.0ms | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 20.0ms | z |
| 20.0ms | x |
| 20.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.3% | 1 | x |
| 97.3% | 1 | y |
| 97.3% | 1 | z |
| 97.3% | 1 | t |
| 97.3% | 1 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
Compiled 39 to 28 computations (28.2% saved)
| Inputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z #s(approx (- t x) (neg.f64 x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (neg.f64 x)) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (/ (* (+ t x) (- t x)) (+ t x)) (neg.f64 x)) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 z (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (fma.f64 z t (*.f64 z (neg.f64 x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (+.f64 t (-.f64 (/.f64 x z) x))))) |
(fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y)))) y x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z #s(approx (- t x) (fma.f64 t (/.f64 x (neg.f64 t)) t))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))))) |
(fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 x (neg.f64 y))))) y x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 t x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(approx (* (+ t x) (- t x)) (*.f64 t t)) (+.f64 t x)) x)) |
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x) |
(fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) y x) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(approx (* (+ t x) (- t x)) (*.f64 x (neg.f64 x))) (+.f64 t x)) x)) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) |
(fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x)))) y x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (+.f64 t x)) x)) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (*.f64 (-.f64 t x) (*.f64 (+.f64 t x) (/.f64 #s(literal 1 binary64) (+.f64 t x))))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 (*.f64 (*.f64 z (-.f64 t x)) (+.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 t x))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 y t)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 t x))) x)) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 y (neg.f64 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)))))) |
(fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x))))) y x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x)))))) |
(fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 x (+.f64 (/.f64 t (*.f64 y x)) (/.f64 #s(literal -1 binary64) y)))))) y x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 x (+.f64 (/.f64 t (*.f64 x y)) (/.f64 #s(literal -1 binary64) y))))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (+ x (- (neg t) (/ (/ (- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6)) (neg y)) y))) (neg y)) (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) (*.f64 y (*.f64 y y))))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 x (/.f64 y t) y) t)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (*.f64 (fma.f64 x (+.f64 t x) (*.f64 t t)) (-.f64 t x)) (fma.f64 x (+.f64 t x) (*.f64 t t))) x)) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (neg.f64 (/.f64 (fma.f64 t (/.f64 y x) y) x))))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 t x))) y)))) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (+ x (- (neg t) (/ (/ (- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6)) (neg y)) y))) (neg y)) (/.f64 (fma.f64 t (*.f64 (/.f64 (*.f64 t t) (*.f64 y y)) #s(literal -1/3 binary64)) t) y))) y) z x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) #s(approx (/ (- (neg y) (/ (+ (* (* x x) (/ y t)) (* y x)) t)) (neg t)) (/.f64 (*.f64 y (*.f64 x x)) (*.f64 t (*.f64 t t))))))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (+ x (- (neg t) (/ (/ (- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6)) (neg y)) y))) (neg y)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y y)) t) y))))) |
(fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 y (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y)))) y x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 y (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 #s(approx (- (neg y) (/ (+ (* (* x x) (/ y t)) (* y x)) t)) (/.f64 (*.f64 y (*.f64 x x)) (*.f64 t (neg.f64 t)))) (neg.f64 t))))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 (/.f64 (*.f64 (*.f64 z (-.f64 t x)) (+.f64 t x)) (fma.f64 t (*.f64 t t) (*.f64 x (*.f64 x x)))) (fma.f64 t t (*.f64 x (-.f64 x t)))))) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (-.f64 y (/.f64 (*.f64 x (fma.f64 y (/.f64 x t) y)) (neg.f64 t))) t)))) y) z x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (-.f64 (neg.f64 y) (/.f64 #s(approx (+ (* (* x x) (/ y t)) (* y x)) (/.f64 (*.f64 y (*.f64 x x)) t)) t)) (neg.f64 t))))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 (*.f64 x x) (/.f64 y (*.f64 t t)) (fma.f64 x (/.f64 y t) y)) t)))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (-.f64 y (/.f64 (neg.f64 (fma.f64 (*.f64 t t) (/.f64 y x) (*.f64 y t))) x)) (neg.f64 x))))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (-.f64 (neg.f64 y) (/.f64 (fma.f64 (*.f64 x x) (/.f64 y t) (*.f64 y x)) t)) (neg.f64 t))))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 z (-.f64 t x)) (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x)))))) (fma.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))) (*.f64 x (-.f64 x (*.f64 z (-.f64 t x))))))) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 z (+.f64 x (neg.f64 t)) (/.f64 (fma.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (/.f64 z y) (*.f64 z #s(literal 0 binary64))) y))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) #s(approx (/ (- (neg y) (/ (+ (* (* x x) (/ y t)) (* y x)) t)) (neg t)) (*.f64 (*.f64 x x) (-.f64 (/.f64 y (*.f64 t (*.f64 t t))) (/.f64 (-.f64 (neg.f64 (/.f64 y (*.f64 x t))) (/.f64 y (*.f64 t t))) x))))))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 x (-.f64 (neg.f64 t) (/.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y)) y))) (neg.f64 y))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (-.f64 (neg.f64 y) (/.f64 (-.f64 (*.f64 y x) (/.f64 (neg.f64 (fma.f64 y (*.f64 x x) (/.f64 (*.f64 y (*.f64 x (*.f64 x x))) t))) t)) t)) (neg.f64 t))))))) |
(fma.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) z #s(approx (+ (* (tanh (/ x y)) (* z (neg y))) x) (fma.f64 x (neg.f64 z) x))) |
(+.f64 x (fma.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)) (neg.f64 #s(approx (* (* y z) (tanh (/ x y))) (*.f64 z x))))) |
(fma.f64 (*.f64 z (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y x) |
(fma.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) y x) |
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 z y) x) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) |
(fma.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) z #s(approx (+ (* (tanh (/ x y)) (* z (neg y))) x) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 z (*.f64 x x)) (*.f64 y y)) (-.f64 #s(literal 1 binary64) z))))) |
(+.f64 x (fma.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)) (neg.f64 #s(approx (* (* y z) (tanh (/ x y))) (*.f64 x (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 z (*.f64 x x)) (*.f64 y y)) z)))))) |
(fma.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (*.f64 x (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) y)))))) y x) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (*.f64 t (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 t t) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) y)))) (tanh.f64 (/.f64 x y))))) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (fma.f64 x (/.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 y (*.f64 y y))) (/.f64 x y)))))) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 (-.f64 (neg.f64 x) (/.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) (neg.f64 y)) y)) (neg.f64 y)))))) |
| Outputs |
|---|
(fma.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) z #s(approx (+ (* (tanh (/ x y)) (* z (neg y))) x) (fma.f64 x (neg.f64 z) x))) |
(fma.f64 (*.f64 z (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y x) |
(fma.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) z #s(approx (+ (* (tanh (/ x y)) (* z (neg y))) x) (fma.f64 x (neg.f64 z) x))) |
5 calls:
| 57.0ms | x |
| 23.0ms | t |
| 20.0ms | z |
| 19.0ms | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 18.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.5% | 1 | y |
| 84.0% | 2 | x |
| 80.5% | 1 | z |
| 85.9% | 3 | t |
| 80.5% | 1 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
Compiled 39 to 28 computations (28.2% saved)
| Inputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z #s(approx (- t x) (neg.f64 x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (neg.f64 x)) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (/ (* (+ t x) (- t x)) (+ t x)) (neg.f64 x)) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 z (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (fma.f64 z t (*.f64 z (neg.f64 x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (+.f64 t (-.f64 (/.f64 x z) x))))) |
(fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y)))) y x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z #s(approx (- t x) (fma.f64 t (/.f64 x (neg.f64 t)) t))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))))) |
(fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 x (neg.f64 y))))) y x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 t x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(approx (* (+ t x) (- t x)) (*.f64 t t)) (+.f64 t x)) x)) |
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x) |
(fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) y x) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(approx (* (+ t x) (- t x)) (*.f64 x (neg.f64 x))) (+.f64 t x)) x)) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) |
(fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x)))) y x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (+.f64 t x)) x)) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (*.f64 (-.f64 t x) (*.f64 (+.f64 t x) (/.f64 #s(literal 1 binary64) (+.f64 t x))))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 (*.f64 (*.f64 z (-.f64 t x)) (+.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 t x))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 y t)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 t x))) x)) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 y (neg.f64 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)))))) |
(fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x))))) y x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x)))))) |
(fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 x (+.f64 (/.f64 t (*.f64 y x)) (/.f64 #s(literal -1 binary64) y)))))) y x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 x (+.f64 (/.f64 t (*.f64 x y)) (/.f64 #s(literal -1 binary64) y))))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (+ x (- (neg t) (/ (/ (- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6)) (neg y)) y))) (neg y)) (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) (*.f64 y (*.f64 y y))))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 x (/.f64 y t) y) t)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (*.f64 (fma.f64 x (+.f64 t x) (*.f64 t t)) (-.f64 t x)) (fma.f64 x (+.f64 t x) (*.f64 t t))) x)) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (neg.f64 (/.f64 (fma.f64 t (/.f64 y x) y) x))))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 t x))) y)))) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (+ x (- (neg t) (/ (/ (- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6)) (neg y)) y))) (neg y)) (/.f64 (fma.f64 t (*.f64 (/.f64 (*.f64 t t) (*.f64 y y)) #s(literal -1/3 binary64)) t) y))) y) z x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) #s(approx (/ (- (neg y) (/ (+ (* (* x x) (/ y t)) (* y x)) t)) (neg t)) (/.f64 (*.f64 y (*.f64 x x)) (*.f64 t (*.f64 t t))))))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (+ x (- (neg t) (/ (/ (- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6)) (neg y)) y))) (neg y)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y y)) t) y))))) |
(fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 y (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y)))) y x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 y (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 #s(approx (- (neg y) (/ (+ (* (* x x) (/ y t)) (* y x)) t)) (/.f64 (*.f64 y (*.f64 x x)) (*.f64 t (neg.f64 t)))) (neg.f64 t))))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 (/.f64 (*.f64 (*.f64 z (-.f64 t x)) (+.f64 t x)) (fma.f64 t (*.f64 t t) (*.f64 x (*.f64 x x)))) (fma.f64 t t (*.f64 x (-.f64 x t)))))) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (-.f64 y (/.f64 (*.f64 x (fma.f64 y (/.f64 x t) y)) (neg.f64 t))) t)))) y) z x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (-.f64 (neg.f64 y) (/.f64 #s(approx (+ (* (* x x) (/ y t)) (* y x)) (/.f64 (*.f64 y (*.f64 x x)) t)) t)) (neg.f64 t))))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 (*.f64 x x) (/.f64 y (*.f64 t t)) (fma.f64 x (/.f64 y t) y)) t)))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (-.f64 y (/.f64 (neg.f64 (fma.f64 (*.f64 t t) (/.f64 y x) (*.f64 y t))) x)) (neg.f64 x))))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (-.f64 (neg.f64 y) (/.f64 (fma.f64 (*.f64 x x) (/.f64 y t) (*.f64 y x)) t)) (neg.f64 t))))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 z (-.f64 t x)) (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x)))))) (fma.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))) (*.f64 x (-.f64 x (*.f64 z (-.f64 t x))))))) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 z (+.f64 x (neg.f64 t)) (/.f64 (fma.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (/.f64 z y) (*.f64 z #s(literal 0 binary64))) y))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) #s(approx (/ (- (neg y) (/ (+ (* (* x x) (/ y t)) (* y x)) t)) (neg t)) (*.f64 (*.f64 x x) (-.f64 (/.f64 y (*.f64 t (*.f64 t t))) (/.f64 (-.f64 (neg.f64 (/.f64 y (*.f64 x t))) (/.f64 y (*.f64 t t))) x))))))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 x (-.f64 (neg.f64 t) (/.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y)) y))) (neg.f64 y))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (-.f64 (neg.f64 y) (/.f64 (-.f64 (*.f64 y x) (/.f64 (neg.f64 (fma.f64 y (*.f64 x x) (/.f64 (*.f64 y (*.f64 x (*.f64 x x))) t))) t)) t)) (neg.f64 t))))))) |
(fma.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) z #s(approx (+ (* (tanh (/ x y)) (* z (neg y))) x) (fma.f64 x (neg.f64 z) x))) |
(+.f64 x (fma.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)) (neg.f64 #s(approx (* (* y z) (tanh (/ x y))) (*.f64 z x))))) |
| Outputs |
|---|
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (-.f64 y (/.f64 (*.f64 x (fma.f64 y (/.f64 x t) y)) (neg.f64 t))) t)))) y) z x) |
(fma.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) z #s(approx (+ (* (tanh (/ x y)) (* z (neg y))) x) (fma.f64 x (neg.f64 z) x))) |
2 calls:
| 18.0ms | x |
| 16.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.8% | 2 | x |
| 83.9% | 3 | t |
Compiled 10 to 8 computations (20% saved)
| Inputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z #s(approx (- t x) (neg.f64 x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (neg.f64 x)) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (/ (* (+ t x) (- t x)) (+ t x)) (neg.f64 x)) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 z (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (fma.f64 z t (*.f64 z (neg.f64 x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (+.f64 t (-.f64 (/.f64 x z) x))))) |
(fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y)))) y x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z #s(approx (- t x) (fma.f64 t (/.f64 x (neg.f64 t)) t))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))))) |
(fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 x (neg.f64 y))))) y x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 t x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(approx (* (+ t x) (- t x)) (*.f64 t t)) (+.f64 t x)) x)) |
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x) |
(fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) y x) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(approx (* (+ t x) (- t x)) (*.f64 x (neg.f64 x))) (+.f64 t x)) x)) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) |
(fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x)))) y x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (+.f64 t x)) x)) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (*.f64 (-.f64 t x) (*.f64 (+.f64 t x) (/.f64 #s(literal 1 binary64) (+.f64 t x))))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 (*.f64 (*.f64 z (-.f64 t x)) (+.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 t x))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 y t)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 t x))) x)) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 y (neg.f64 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)))))) |
(fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x))))) y x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x)))))) |
(fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 x (+.f64 (/.f64 t (*.f64 y x)) (/.f64 #s(literal -1 binary64) y)))))) y x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 x (+.f64 (/.f64 t (*.f64 x y)) (/.f64 #s(literal -1 binary64) y))))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (+ x (- (neg t) (/ (/ (- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6)) (neg y)) y))) (neg y)) (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) (*.f64 y (*.f64 y y))))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 x (/.f64 y t) y) t)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (*.f64 (fma.f64 x (+.f64 t x) (*.f64 t t)) (-.f64 t x)) (fma.f64 x (+.f64 t x) (*.f64 t t))) x)) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (neg.f64 (/.f64 (fma.f64 t (/.f64 y x) y) x))))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 t x))) y)))) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (+ x (- (neg t) (/ (/ (- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6)) (neg y)) y))) (neg y)) (/.f64 (fma.f64 t (*.f64 (/.f64 (*.f64 t t) (*.f64 y y)) #s(literal -1/3 binary64)) t) y))) y) z x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) #s(approx (/ (- (neg y) (/ (+ (* (* x x) (/ y t)) (* y x)) t)) (neg t)) (/.f64 (*.f64 y (*.f64 x x)) (*.f64 t (*.f64 t t))))))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (+ x (- (neg t) (/ (/ (- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6)) (neg y)) y))) (neg y)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y y)) t) y))))) |
(fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 y (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y)))) y x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 y (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 #s(approx (- (neg y) (/ (+ (* (* x x) (/ y t)) (* y x)) t)) (/.f64 (*.f64 y (*.f64 x x)) (*.f64 t (neg.f64 t)))) (neg.f64 t))))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 (/.f64 (*.f64 (*.f64 z (-.f64 t x)) (+.f64 t x)) (fma.f64 t (*.f64 t t) (*.f64 x (*.f64 x x)))) (fma.f64 t t (*.f64 x (-.f64 x t)))))) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (-.f64 y (/.f64 (*.f64 x (fma.f64 y (/.f64 x t) y)) (neg.f64 t))) t)))) y) z x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (-.f64 (neg.f64 y) (/.f64 #s(approx (+ (* (* x x) (/ y t)) (* y x)) (/.f64 (*.f64 y (*.f64 x x)) t)) t)) (neg.f64 t))))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 (*.f64 x x) (/.f64 y (*.f64 t t)) (fma.f64 x (/.f64 y t) y)) t)))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (-.f64 y (/.f64 (neg.f64 (fma.f64 (*.f64 t t) (/.f64 y x) (*.f64 y t))) x)) (neg.f64 x))))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (-.f64 (neg.f64 y) (/.f64 (fma.f64 (*.f64 x x) (/.f64 y t) (*.f64 y x)) t)) (neg.f64 t))))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 z (-.f64 t x)) (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x)))))) (fma.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))) (*.f64 x (-.f64 x (*.f64 z (-.f64 t x))))))) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 z (+.f64 x (neg.f64 t)) (/.f64 (fma.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (/.f64 z y) (*.f64 z #s(literal 0 binary64))) y))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) #s(approx (/ (- (neg y) (/ (+ (* (* x x) (/ y t)) (* y x)) t)) (neg t)) (*.f64 (*.f64 x x) (-.f64 (/.f64 y (*.f64 t (*.f64 t t))) (/.f64 (-.f64 (neg.f64 (/.f64 y (*.f64 x t))) (/.f64 y (*.f64 t t))) x))))))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 x (-.f64 (neg.f64 t) (/.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y)) y))) (neg.f64 y))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (-.f64 (neg.f64 y) (/.f64 (-.f64 (*.f64 y x) (/.f64 (neg.f64 (fma.f64 y (*.f64 x x) (/.f64 (*.f64 y (*.f64 x (*.f64 x x))) t))) t)) t)) (neg.f64 t))))))) |
| Outputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (-.f64 (neg.f64 y) (/.f64 #s(approx (+ (* (* x x) (/ y t)) (* y x)) (/.f64 (*.f64 y (*.f64 x x)) t)) t)) (neg.f64 t))))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (neg.f64 (/.f64 (fma.f64 t (/.f64 y x) y) x))))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (-.f64 (neg.f64 y) (/.f64 #s(approx (+ (* (* x x) (/ y t)) (* y x)) (/.f64 (*.f64 y (*.f64 x x)) t)) t)) (neg.f64 t))))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)) |
5 calls:
| 17.0ms | x |
| 17.0ms | z |
| 16.0ms | t |
| 16.0ms | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 15.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.0% | 2 | y |
| 69.3% | 3 | z |
| 75.7% | 5 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 69.1% | 3 | t |
| 69.9% | 3 | x |
Compiled 39 to 28 computations (28.2% saved)
| Inputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z #s(approx (- t x) (neg.f64 x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (neg.f64 x)) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (/ (* (+ t x) (- t x)) (+ t x)) (neg.f64 x)) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 z (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (fma.f64 z t (*.f64 z (neg.f64 x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (+.f64 t (-.f64 (/.f64 x z) x))))) |
(fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y)))) y x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z #s(approx (- t x) (fma.f64 t (/.f64 x (neg.f64 t)) t))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))))) |
(fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 x (neg.f64 y))))) y x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 t x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(approx (* (+ t x) (- t x)) (*.f64 t t)) (+.f64 t x)) x)) |
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x) |
(fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) y x) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(approx (* (+ t x) (- t x)) (*.f64 x (neg.f64 x))) (+.f64 t x)) x)) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) |
(fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x)))) y x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (+.f64 t x)) x)) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (*.f64 (-.f64 t x) (*.f64 (+.f64 t x) (/.f64 #s(literal 1 binary64) (+.f64 t x))))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 (*.f64 (*.f64 z (-.f64 t x)) (+.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 t x))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 y t)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 t x))) x)) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 y (neg.f64 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)))))) |
(fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x))))) y x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x)))))) |
(fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 x (+.f64 (/.f64 t (*.f64 y x)) (/.f64 #s(literal -1 binary64) y)))))) y x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 x (+.f64 (/.f64 t (*.f64 x y)) (/.f64 #s(literal -1 binary64) y))))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (+ x (- (neg t) (/ (/ (- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6)) (neg y)) y))) (neg y)) (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) (*.f64 y (*.f64 y y))))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 x (/.f64 y t) y) t)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (*.f64 (fma.f64 x (+.f64 t x) (*.f64 t t)) (-.f64 t x)) (fma.f64 x (+.f64 t x) (*.f64 t t))) x)) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (neg.f64 (/.f64 (fma.f64 t (/.f64 y x) y) x))))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 t x))) y)))) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (+ x (- (neg t) (/ (/ (- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6)) (neg y)) y))) (neg y)) (/.f64 (fma.f64 t (*.f64 (/.f64 (*.f64 t t) (*.f64 y y)) #s(literal -1/3 binary64)) t) y))) y) z x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) #s(approx (/ (- (neg y) (/ (+ (* (* x x) (/ y t)) (* y x)) t)) (neg t)) (/.f64 (*.f64 y (*.f64 x x)) (*.f64 t (*.f64 t t))))))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (+ x (- (neg t) (/ (/ (- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6)) (neg y)) y))) (neg y)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y y)) t) y))))) |
(fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 y (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y)))) y x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 y (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 #s(approx (- (neg y) (/ (+ (* (* x x) (/ y t)) (* y x)) t)) (/.f64 (*.f64 y (*.f64 x x)) (*.f64 t (neg.f64 t)))) (neg.f64 t))))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 (/.f64 (*.f64 (*.f64 z (-.f64 t x)) (+.f64 t x)) (fma.f64 t (*.f64 t t) (*.f64 x (*.f64 x x)))) (fma.f64 t t (*.f64 x (-.f64 x t)))))) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (-.f64 y (/.f64 (*.f64 x (fma.f64 y (/.f64 x t) y)) (neg.f64 t))) t)))) y) z x) |
| Outputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(approx (* (+ t x) (- t x)) (*.f64 x (neg.f64 x))) (+.f64 t x)) x)) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 x (/.f64 y t) y) t)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)) |
2 calls:
| 13.0ms | y |
| 13.0ms | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.0% | 3 | y |
| 72.5% | 4 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
Compiled 24 to 16 computations (33.3% saved)
| Inputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z #s(approx (- t x) (neg.f64 x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (neg.f64 x)) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (/ (* (+ t x) (- t x)) (+ t x)) (neg.f64 x)) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 z (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (fma.f64 z t (*.f64 z (neg.f64 x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (+.f64 t (-.f64 (/.f64 x z) x))))) |
(fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y)))) y x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z #s(approx (- t x) (fma.f64 t (/.f64 x (neg.f64 t)) t))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))))) |
(fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 x (neg.f64 y))))) y x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 t x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(approx (* (+ t x) (- t x)) (*.f64 t t)) (+.f64 t x)) x)) |
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x) |
(fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) y x) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(approx (* (+ t x) (- t x)) (*.f64 x (neg.f64 x))) (+.f64 t x)) x)) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) |
(fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x)))) y x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (+.f64 t x)) x)) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (*.f64 (-.f64 t x) (*.f64 (+.f64 t x) (/.f64 #s(literal 1 binary64) (+.f64 t x))))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 (*.f64 (*.f64 z (-.f64 t x)) (+.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 t x))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 y t)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 t x))) x)) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 y (neg.f64 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)))))) |
(fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x))))) y x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x)))))) |
(fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 x (+.f64 (/.f64 t (*.f64 y x)) (/.f64 #s(literal -1 binary64) y)))))) y x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 x (+.f64 (/.f64 t (*.f64 x y)) (/.f64 #s(literal -1 binary64) y))))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (+ x (- (neg t) (/ (/ (- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6)) (neg y)) y))) (neg y)) (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) (*.f64 y (*.f64 y y))))))) |
| Outputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(approx (* (+ t x) (- t x)) (*.f64 x (neg.f64 x))) (+.f64 t x)) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)) |
2 calls:
| 11.0ms | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 10.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.4% | 3 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 69.3% | 2 | y |
Compiled 24 to 16 computations (33.3% saved)
| Inputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z #s(approx (- t x) (neg.f64 x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (neg.f64 x)) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (/ (* (+ t x) (- t x)) (+ t x)) (neg.f64 x)) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 z (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (fma.f64 z t (*.f64 z (neg.f64 x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (+.f64 t (-.f64 (/.f64 x z) x))))) |
(fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y)))) y x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z #s(approx (- t x) (fma.f64 t (/.f64 x (neg.f64 t)) t))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))))) |
(fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 x (neg.f64 y))))) y x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 t x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(approx (* (+ t x) (- t x)) (*.f64 t t)) (+.f64 t x)) x)) |
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x) |
(fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) y x) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))) |
| Outputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(approx (* (+ t x) (- t x)) (*.f64 t t)) (+.f64 t x)) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)) |
1 calls:
| 6.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.0% | 2 | y |
Compiled 5 to 4 computations (20% saved)
| Inputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z #s(approx (- t x) (neg.f64 x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (neg.f64 x)) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (/ (* (+ t x) (- t x)) (+ t x)) (neg.f64 x)) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 z (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (fma.f64 z t (*.f64 z (neg.f64 x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (+.f64 t (-.f64 (/.f64 x z) x))))) |
(fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y)))) y x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z #s(approx (- t x) (fma.f64 t (/.f64 x (neg.f64 t)) t))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))))) |
(fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 x (neg.f64 y))))) y x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 t x))))) |
| Outputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (neg.f64 x)) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)) |
2 calls:
| 5.0ms | y |
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.2% | 1 | x |
| 68.3% | 2 | y |
Compiled 10 to 8 computations (20% saved)
| Inputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z #s(approx (- t x) (neg.f64 x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (neg.f64 x)) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (/ (* (+ t x) (- t x)) (+ t x)) (neg.f64 x)) x)) |
| Outputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (neg.f64 x)) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))) |
5 calls:
| 5.0ms | y |
| 2.0ms | z |
| 2.0ms | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 2.0ms | x |
| 2.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.7% | 3 | x |
| 57.7% | 1 | t |
| 66.8% | 3 | z |
| 62.3% | 2 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 57.7% | 1 | y |
Compiled 39 to 28 computations (28.2% saved)
| Inputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z #s(approx (- t x) (neg.f64 x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))) |
| Outputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))) |
5 calls:
| 4.0ms | x |
| 2.0ms | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 2.0ms | t |
| 2.0ms | z |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 26.4% | 1 | y |
| 26.4% | 1 | t |
| 26.4% | 1 | x |
| 26.4% | 1 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 26.4% | 1 | z |
Compiled 39 to 28 computations (28.2% saved)
| Inputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z #s(approx (- t x) (neg.f64 x))))) |
| Outputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z #s(approx (- t x) (neg.f64 x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) |
5 calls:
| 2.0ms | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 2.0ms | z |
| 2.0ms | t |
| 2.0ms | x |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 21.1% | 2 | x |
| 18.4% | 1 | y |
| 18.4% | 1 | t |
| 18.4% | 1 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 18.4% | 1 | z |
Compiled 39 to 28 computations (28.2% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) |
| Outputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) |
2 calls:
| 3.0ms | z |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 18.4% | 1 | z |
| 18.4% | 1 | x |
Compiled 10 to 8 computations (20% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 25.0ms | 3.0364223111530506e-236 | 2.0526850158213476e-231 |
| 16.0ms | -1.7105612738898857e+39 | -1.7527656391320176e+31 |
| 29.0ms | 283× | 0 | valid |
| 1.0ms | 5× | 1 | valid |
Compiled 706 to 415 computations (41.2% saved)
ival-div: 4.0ms (29.9% of total)ival-mult: 4.0ms (29.9% of total)ival-tanh: 3.0ms (22.4% of total)ival-sub: 1.0ms (7.5% of total)ival-add: 1.0ms (7.5% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 29.0ms | -2.7817418609926786e+119 | -1.5514415280323747e+117 |
| 8.0ms | 110× | 0 | valid |
| 0.0ms | 2× | 1 | valid |
Compiled 358 to 208 computations (41.9% saved)
ival-div: 2.0ms (39.5% of total)ival-add: 1.0ms (19.7% of total)ival-mult: 1.0ms (19.7% of total)ival-tanh: 1.0ms (19.7% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.2741235273959474e+281 | 1.394156890136683e+291 |
| 0.0ms | 4.661114148871902e+30 | 1.0298680285178237e+43 |
| 0.0ms | -12993879.820169266 | -0.00992090845711408 |
| 0.0ms | -inf | -1.0957837291091581e+300 |
Compiled 22 to 19 computations (13.6% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 2.738255723105874e-106 | 1.0912670926052206e-102 |
| 12.0ms | 2.917520524457767e-224 | 4.710292969782746e-222 |
| 16.0ms | 236× | 0 | valid |
| 1.0ms | 4× | 1 | valid |
Compiled 589 to 340 computations (42.3% saved)
ival-div: 3.0ms (27.1% of total)ival-mult: 3.0ms (27.1% of total)ival-tanh: 2.0ms (18.1% of total)ival-sub: 1.0ms (9% of total)ival-add: 1.0ms (9% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 6.965923425496988e-129 | 4.965575778779823e-127 |
| 8.0ms | 108× | 0 | valid |
| 1.0ms | 4× | 1 | valid |
Compiled 232 to 138 computations (40.5% saved)
ival-div: 2.0ms (37.5% of total)ival-add: 1.0ms (18.8% of total)ival-mult: 1.0ms (18.8% of total)ival-sub: 1.0ms (18.8% of total)ival-tanh: 1.0ms (18.8% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 4.953625429321256e-126 | 8.328906462718472e-124 |
| 7.0ms | 104× | 0 | valid |
| 1.0ms | 8× | 1 | valid |
Compiled 225 to 131 computations (41.8% saved)
ival-div: 2.0ms (35.4% of total)ival-mult: 2.0ms (35.4% of total)ival-add: 1.0ms (17.7% of total)ival-sub: 1.0ms (17.7% of total)ival-tanh: 1.0ms (17.7% 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 |
|---|---|---|
| 14.0ms | 1.0912670926052206e-102 | 1.9480681312416793e-101 |
| 10.0ms | 108× | 0 | valid |
| 1.0ms | 4× | 1 | valid |
Compiled 190 to 117 computations (38.4% saved)
ival-div: 2.0ms (37% of total)ival-mult: 2.0ms (37% of total)ival-add: 1.0ms (18.5% of total)ival-tanh: 1.0ms (18.5% of total)adjust: 0.0ms (0% of total)ival-sub: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 5.116035686855e-13 | 2.6458832058471923e-5 |
| 16.0ms | -39681959644438824.0 | -5278812648207.471 |
| 19.0ms | 272× | 0 | valid |
Compiled 430 to 257 computations (40.2% saved)
ival-div: 4.0ms (33.5% of total)ival-mult: 3.0ms (25.1% of total)ival-tanh: 2.0ms (16.8% of total)ival-sub: 1.0ms (8.4% of total)ival-add: 1.0ms (8.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 19.0ms | -6.329572976893383e-155 | -6.44907436994783e-167 |
| 13.0ms | 154× | 0 | valid |
| 1.0ms | 6× | 1 | valid |
Compiled 242 to 149 computations (38.4% saved)
ival-div: 2.0ms (26.1% of total)ival-mult: 2.0ms (26.1% of total)ival-tanh: 2.0ms (26.1% of total)ival-add: 1.0ms (13% of total)ival-sub: 1.0ms (13% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
| 540× | distribute-lft-neg-in_binary64 |
| 428× | unsub-neg_binary64 |
| 344× | neg-mul-1_binary64 |
| 290× | neg-sub0_binary64 |
| 246× | cancel-sign-sub_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 161 | 894 |
| 1 | 211 | 893 |
| 2 | 253 | 889 |
| 3 | 313 | 889 |
| 4 | 426 | 889 |
| 5 | 583 | 889 |
| 6 | 839 | 889 |
| 7 | 1142 | 889 |
| 8 | 1386 | 889 |
| 9 | 1572 | 889 |
| 10 | 1726 | 889 |
| 11 | 1805 | 889 |
| 12 | 1847 | 889 |
| 13 | 1863 | 889 |
| 14 | 1868 | 889 |
| 15 | 1869 | 889 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y x) |
(if (<=.f64 t #s(literal -1800000000000000132619716698046464 binary64)) (fma.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) z #s(approx (+ (* (tanh (/ x y)) (* z (neg y))) x) (fma.f64 x (neg.f64 z) x))) (if (<=.f64 t #s(literal 895839737440089/436994993873214129706097166956708350993678881411295357199729151951767944417616335439228580716318181998128654620651240845861768505204366709906692902245553277900892247131030458103436298545516643924637451297481464347472084863384057367177715867713536 binary64)) (fma.f64 (*.f64 z (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y x) (fma.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) z #s(approx (+ (* (tanh (/ x y)) (* z (neg y))) x) (fma.f64 x (neg.f64 z) x))))) |
(if (<=.f64 x #s(literal -269999999999999983133443373846076760996472925571757595928110098352902933261461558940878766988673918383696774748262367232 binary64)) (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (-.f64 y (/.f64 (*.f64 x (fma.f64 y (/.f64 x t) y)) (neg.f64 t))) t)))) y) z x) (fma.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) z #s(approx (+ (* (tanh (/ x y)) (* z (neg y))) x) (fma.f64 x (neg.f64 z) x)))) |
(if (<=.f64 (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal -inf.0 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))) (if (<=.f64 (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal -10000000 binary64)) (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (-.f64 (neg.f64 y) (/.f64 #s(approx (+ (* (* x x) (/ y t)) (* y x)) (/.f64 (*.f64 y (*.f64 x x)) t)) t)) (neg.f64 t))))))) (if (<=.f64 (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal 4999999999999999817948147482624 binary64)) (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (neg.f64 (/.f64 (fma.f64 t (/.f64 y x) y) x))))))) (if (<=.f64 (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal 200000000000000006556449196572419649714141056604298712852666715488188520639474867185586875734482358610763499516364830163740326935382139139198798220258608504224955760849124013163054654471029919298065709782502060125818520278488967130426189712965200924415757135362171021140252940042240 binary64)) (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (-.f64 (neg.f64 y) (/.f64 #s(approx (+ (* (* x x) (/ y t)) (* y x)) (/.f64 (*.f64 y (*.f64 x x)) t)) t)) (neg.f64 t))))))) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)))))) |
(if (<=.f64 y #s(literal 6251263530824863/208375451027495446064995368460039306160773697572372130012383056617626163681801002235044756277236071585716559706044788763934025051691230158761354876635338438940473674359812954951971196434744188272780156754246456311927835876171139415348871168 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(approx (* (+ t x) (- t x)) (*.f64 x (neg.f64 x))) (+.f64 t x)) x)) (if (<=.f64 y #s(literal 7101187164738999/322781234760863573706989896500376484291213224103652939103832419567580952752105149328705669160017228929487896496593436672 binary64)) (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 x (/.f64 y t) y) t)))))) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)))) |
(if (<=.f64 y #s(literal 3219303192513367/48777321098687378615337456715518223527321845979140174232174327494146433419058837814379782860367062049372295798771978482741374619988879457910784 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(approx (* (+ t x) (- t x)) (*.f64 x (neg.f64 x))) (+.f64 t x)) x)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x))) |
(if (<=.f64 y #s(literal 6549689112372573/11908525658859223294760121268437066290850060053501019099651935423375594096449911575776314174894302258147533153997065059263030913083222523904 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(approx (* (+ t x) (- t x)) (*.f64 t t)) (+.f64 t x)) x)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x))) |
(if (<=.f64 y #s(literal 3089117285797327/1260864198284623334792929283204595641762551656654894293374345388935863096687910739565256520156317300505812095689818112 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (neg.f64 x)) x)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x))) |
(if (<=.f64 z #s(literal -5500000000000 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))) (if (<=.f64 z #s(literal 3423715700080493/1180591620717411303424 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (neg.f64 x)) x)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))) |
(if (<=.f64 x #s(literal -3743770725422969/60383398797144661635864873295812302254670739526663046854019300803929986598274381633378027602842540280663494000492221518396329354078796682120982948022923136698390325231616 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z #s(approx (- t x) (neg.f64 x))))) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) |
| Outputs |
|---|
(fma.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y x) |
(if (<=.f64 t #s(literal -1800000000000000132619716698046464 binary64)) (fma.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) z #s(approx (+ (* (tanh (/ x y)) (* z (neg y))) x) (fma.f64 x (neg.f64 z) x))) (if (<=.f64 t #s(literal 895839737440089/436994993873214129706097166956708350993678881411295357199729151951767944417616335439228580716318181998128654620651240845861768505204366709906692902245553277900892247131030458103436298545516643924637451297481464347472084863384057367177715867713536 binary64)) (fma.f64 (*.f64 z (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y x) (fma.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) z #s(approx (+ (* (tanh (/ x y)) (* z (neg y))) x) (fma.f64 x (neg.f64 z) x))))) |
(if (<=.f64 t #s(literal -1800000000000000132619716698046464 binary64)) (fma.f64 (*.f64 y (tanh.f64 (/.f64 t y))) z #s(approx (+ (* (tanh (/ x y)) (* z (neg y))) x) (fma.f64 x (neg.f64 z) x))) (if (<=.f64 t #s(literal 895839737440089/436994993873214129706097166956708350993678881411295357199729151951767944417616335439228580716318181998128654620651240845861768505204366709906692902245553277900892247131030458103436298545516643924637451297481464347472084863384057367177715867713536 binary64)) (fma.f64 (*.f64 z (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y x) (fma.f64 (*.f64 y (tanh.f64 (/.f64 t y))) z #s(approx (+ (* (tanh (/ x y)) (* z (neg y))) x) (fma.f64 x (neg.f64 z) x))))) |
(if (<=.f64 x #s(literal -269999999999999983133443373846076760996472925571757595928110098352902933261461558940878766988673918383696774748262367232 binary64)) (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (-.f64 y (/.f64 (*.f64 x (fma.f64 y (/.f64 x t) y)) (neg.f64 t))) t)))) y) z x) (fma.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) z #s(approx (+ (* (tanh (/ x y)) (* z (neg y))) x) (fma.f64 x (neg.f64 z) x)))) |
(if (<=.f64 x #s(literal -269999999999999983133443373846076760996472925571757595928110098352902933261461558940878766988673918383696774748262367232 binary64)) (fma.f64 (*.f64 y #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (+.f64 y (/.f64 (*.f64 x (fma.f64 y (/.f64 x t) y)) t)) t))))) z x) (fma.f64 (*.f64 y (tanh.f64 (/.f64 t y))) z #s(approx (+ (* (tanh (/ x y)) (* z (neg y))) x) (fma.f64 x (neg.f64 z) x)))) |
(if (<=.f64 (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal -inf.0 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))) (if (<=.f64 (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal -10000000 binary64)) (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (-.f64 (neg.f64 y) (/.f64 #s(approx (+ (* (* x x) (/ y t)) (* y x)) (/.f64 (*.f64 y (*.f64 x x)) t)) t)) (neg.f64 t))))))) (if (<=.f64 (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal 4999999999999999817948147482624 binary64)) (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (neg.f64 (/.f64 (fma.f64 t (/.f64 y x) y) x))))))) (if (<=.f64 (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal 200000000000000006556449196572419649714141056604298712852666715488188520639474867185586875734482358610763499516364830163740326935382139139198798220258608504224955760849124013163054654471029919298065709782502060125818520278488967130426189712965200924415757135362171021140252940042240 binary64)) (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (-.f64 (neg.f64 y) (/.f64 #s(approx (+ (* (* x x) (/ y t)) (* y x)) (/.f64 (*.f64 y (*.f64 x x)) t)) t)) (neg.f64 t))))))) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)))))) |
(if (<=.f64 (+.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y))) #s(literal -inf.0 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))) (if (<=.f64 (+.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y))) #s(literal -10000000 binary64)) (+.f64 x (*.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (+.f64 y (/.f64 #s(approx (+ (* (* x x) (/ y t)) (* y x)) (/.f64 (*.f64 y (*.f64 x x)) t)) t)) t)))))) (if (<=.f64 (+.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y))) #s(literal 4999999999999999817948147482624 binary64)) (+.f64 x (*.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 t (/.f64 y x) y) (neg.f64 x))))))) (if (<=.f64 (+.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y))) #s(literal 200000000000000006556449196572419649714141056604298712852666715488188520639474867185586875734482358610763499516364830163740326935382139139198798220258608504224955760849124013163054654471029919298065709782502060125818520278488967130426189712965200924415757135362171021140252940042240 binary64)) (+.f64 x (*.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (+.f64 y (/.f64 #s(approx (+ (* (* x x) (/ y t)) (* y x)) (/.f64 (*.f64 y (*.f64 x x)) t)) t)) t)))))) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)))))) |
(if (<=.f64 y #s(literal 6251263530824863/208375451027495446064995368460039306160773697572372130012383056617626163681801002235044756277236071585716559706044788763934025051691230158761354876635338438940473674359812954951971196434744188272780156754246456311927835876171139415348871168 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(approx (* (+ t x) (- t x)) (*.f64 x (neg.f64 x))) (+.f64 t x)) x)) (if (<=.f64 y #s(literal 7101187164738999/322781234760863573706989896500376484291213224103652939103832419567580952752105149328705669160017228929487896496593436672 binary64)) (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 x (/.f64 y t) y) t)))))) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)))) |
(if (<=.f64 y #s(literal 6251263530824863/208375451027495446064995368460039306160773697572372130012383056617626163681801002235044756277236071585716559706044788763934025051691230158761354876635338438940473674359812954951971196434744188272780156754246456311927835876171139415348871168 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(approx (* (+ t x) (- t x)) (*.f64 x (neg.f64 x))) (+.f64 t x)) x)) (if (<=.f64 y #s(literal 7101187164738999/322781234760863573706989896500376484291213224103652939103832419567580952752105149328705669160017228929487896496593436672 binary64)) (+.f64 x (*.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) #s(approx (/ y (- t x)) (/.f64 (fma.f64 x (/.f64 y t) y) t)))))) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)))) |
(if (<=.f64 y #s(literal 3219303192513367/48777321098687378615337456715518223527321845979140174232174327494146433419058837814379782860367062049372295798771978482741374619988879457910784 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(approx (* (+ t x) (- t x)) (*.f64 x (neg.f64 x))) (+.f64 t x)) x)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x))) |
(if (<=.f64 y #s(literal 6549689112372573/11908525658859223294760121268437066290850060053501019099651935423375594096449911575776314174894302258147533153997065059263030913083222523904 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(approx (* (+ t x) (- t x)) (*.f64 t t)) (+.f64 t x)) x)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x))) |
(if (<=.f64 y #s(literal 3089117285797327/1260864198284623334792929283204595641762551656654894293374345388935863096687910739565256520156317300505812095689818112 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (neg.f64 x)) x)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x))) |
(if (<=.f64 z #s(literal -5500000000000 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))) (if (<=.f64 z #s(literal 3423715700080493/1180591620717411303424 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (neg.f64 x)) x)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))) |
(if (<=.f64 x #s(literal -3743770725422969/60383398797144661635864873295812302254670739526663046854019300803929986598274381633378027602842540280663494000492221518396329354078796682120982948022923136698390325231616 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z #s(approx (- t x) (neg.f64 x))))) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) |
| 14 306× | lower-fma.f64 |
| 14 306× | lower-fma.f32 |
| 13 264× | lower-fma.f64 |
| 13 264× | lower-fma.f32 |
| 12 758× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 449 |
| 0 | 94 | 434 |
| 1 | 383 | 409 |
| 2 | 3288 | 404 |
| 0 | 10677 | 400 |
| 0 | 69 | 479 |
| 0 | 98 | 436 |
| 1 | 443 | 420 |
| 2 | 3898 | 420 |
| 0 | 9849 | 407 |
| 0 | 495 | 10076 |
| 1 | 1678 | 7475 |
| 2 | 6942 | 7471 |
| 0 | 8224 | 7285 |
| 0 | 53 | 422 |
| 0 | 92 | 403 |
| 1 | 376 | 383 |
| 2 | 3256 | 383 |
| 0 | 8231 | 368 |
| 0 | 12 | 48 |
| 0 | 20 | 48 |
| 1 | 99 | 48 |
| 2 | 871 | 48 |
| 0 | 8208 | 47 |
| 0 | 759 | 42267 |
| 1 | 2523 | 31603 |
| 0 | 9025 | 30810 |
| 0 | 995 | 32712 |
| 1 | 3303 | 28589 |
| 0 | 8955 | 27797 |
| 0 | 1012 | 38883 |
| 1 | 3360 | 33972 |
| 0 | 9143 | 33176 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 1 054 to 481 computations (54.4% saved)
(abs y)
Compiled 972 to 292 computations (70% saved)
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