
Time bar (total: 12.6s)
| 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)
| 817.0ms | 8 039× | 0 | valid |
| 56.0ms | 217× | 1 | valid |
ival-div: 222.0ms (38.1% of total)ival-mult: 131.0ms (22.5% of total)ival-tanh: 92.0ms (15.8% of total)ival-add: 75.0ms (12.9% of total)ival-sub: 50.0ms (8.6% of total)ival-true: 6.0ms (1% of total)adjust: 5.0ms (0.9% of total)ival-assert: 3.0ms (0.5% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 24 | 0 | - | 0 | - | (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
| 0 | 0 | - | 0 | - | (/.f64 x y) |
| 0 | 0 | - | 0 | - | (/.f64 t y) |
| 0 | 0 | - | 0 | - | t |
| 0 | 0 | - | 0 | - | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 0 | 0 | - | 0 | - | (tanh.f64 (/.f64 x y)) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (tanh.f64 (/.f64 t y)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
| 0 | 0 | - | 0 | - | (*.f64 y z) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
*.f64 | (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) | n*o | 13 | 0 |
*.f64 | (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) | o*u | 4 | 0 |
| ↳ | (*.f64 y z) | overflow | 32 | |
| ↳ | (/.f64 t y) | underflow | 32 | |
| ↳ | (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) | underflow | 57 | |
| ↳ | (tanh.f64 (/.f64 x y)) | underflow | 34 | |
| ↳ | (/.f64 x y) | underflow | 34 | |
| ↳ | (tanh.f64 (/.f64 t y)) | underflow | 32 | |
*.f64 | (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) | n*u | 2 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 19 | 0 |
| - | 0 | 237 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 19 | 0 | 0 |
| - | 0 | 0 | 237 |
| number | freq |
|---|---|
| 0 | 237 |
| 1 | 19 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 37.0ms | 430× | 0 | valid |
| 19.0ms | 76× | 2 | valid |
| 1.0ms | 6× | 1 | valid |
Compiled 139 to 40 computations (71.2% saved)
ival-div: 11.0ms (32.4% of total)ival-mult: 8.0ms (23.6% of total)ival-tanh: 6.0ms (17.7% of total)adjust: 3.0ms (8.8% of total)ival-sub: 3.0ms (8.8% of total)ival-add: 3.0ms (8.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
| 12 492× | lower-fma.f64 |
| 12 492× | lower-fma.f32 |
| 3 782× | lower-*.f32 |
| 3 778× | lower-*.f64 |
| 2 164× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 76 | 226 |
| 1 | 399 | 224 |
| 2 | 1184 | 210 |
| 3 | 4721 | 210 |
| 0 | 12 | 15 |
| 0 | 20 | 15 |
| 1 | 62 | 15 |
| 2 | 165 | 15 |
| 3 | 427 | 15 |
| 4 | 1658 | 15 |
| 5 | 6383 | 15 |
| 0 | 8408 | 14 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| Outputs |
|---|
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x) |
(abs y)
Compiled 19 to 12 computations (36.8% saved)
Compiled 4 to 4 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 92.8% | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
Compiled 19 to 12 computations (36.8% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) | |
| cost-diff | 0 | (*.f64 y z) | |
| cost-diff | 0 | (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) | |
| cost-diff | 128 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 12 492× | lower-fma.f64 |
| 12 492× | lower-fma.f32 |
| 3 782× | lower-*.f32 |
| 3 778× | lower-*.f64 |
| 2 164× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 58 |
| 0 | 20 | 58 |
| 1 | 62 | 58 |
| 2 | 165 | 58 |
| 3 | 427 | 58 |
| 4 | 1658 | 58 |
| 5 | 6383 | 58 |
| 0 | 8408 | 57 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
x |
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
(*.f64 y z) |
y |
z |
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
(tanh.f64 (/.f64 t y)) |
(/.f64 t y) |
t |
(tanh.f64 (/.f64 x y)) |
(/.f64 x y) |
| Outputs |
|---|
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x) |
x |
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
(*.f64 y z) |
y |
z |
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
(tanh.f64 (/.f64 t y)) |
(/.f64 t y) |
t |
(tanh.f64 (/.f64 x y)) |
(/.f64 x y) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (tanh.f64 (/.f64 x y)) | |
| accuracy | 0.00390625 | (tanh.f64 (/.f64 t y)) | |
| accuracy | 0.0078125 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) | |
| accuracy | 5.674506530198302 | (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
| 17.0ms | 215× | 0 | valid |
| 9.0ms | 38× | 2 | valid |
| 0.0ms | 3× | 1 | valid |
Compiled 60 to 14 computations (76.7% saved)
ival-div: 5.0ms (30.8% of total)ival-mult: 4.0ms (24.7% of total)ival-tanh: 3.0ms (18.5% of total)adjust: 1.0ms (6.2% of total)ival-sub: 1.0ms (6.2% of total)ival-add: 1.0ms (6.2% 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 (+ 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 (* 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 (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))> |
#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y)) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))> |
#<alt (- (+ (* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))> |
#<alt (- (+ (* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))> |
#<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 (+ 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 (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 (/ (- (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 (+ 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 (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 (/ (- (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 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))))))))))> |
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#<alt (* -1 (* z (- (* -1 t) (* -1 x))))> |
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#<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)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y 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))))))))))> |
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#<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))))))))))> |
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#<alt (/ x y)> |
#<alt (* x (+ (* -1/3 (/ (pow x 2) (pow y 3))) (/ 1 y)))> |
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#<alt 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)))))))))> |
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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 (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 (/ (- (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)))))> |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | y | @ | -inf | ((+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (tanh (/ x y))) |
| 6.0ms | y | @ | inf | ((+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (tanh (/ x y))) |
| 6.0ms | z | @ | 0 | ((+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (tanh (/ x y))) |
| 4.0ms | t | @ | inf | ((+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (tanh (/ x y))) |
| 3.0ms | x | @ | inf | ((+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (tanh (/ x y))) |
| 1× | egg-herbie |
| 13 018× | lower-fma.f64 |
| 13 018× | lower-fma.f32 |
| 4 518× | lower-*.f64 |
| 4 518× | lower-*.f32 |
| 3 606× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 495 | 10076 |
| 1 | 1678 | 7475 |
| 2 | 7001 | 7473 |
| 0 | 8025 | 7285 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ 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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(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(/ (- (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 |
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
| Outputs |
|---|
(+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
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(+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(fma.f64 y (*.f64 z (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))))) (fma.f64 z t x)) |
(+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(fma.f64 y (*.f64 z (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))))) (fma.f64 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)))))))))) |
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(* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) |
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(+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
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(+ (* t (+ z (* -1/3 (/ (* (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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(+ (* 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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(- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
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(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y)) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
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(- (+ (* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(-.f64 (fma.f64 t (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 t t) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) y)) (/.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)))))) |
(- (+ (* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(fma.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (/.f64 #s(literal 2/15 binary64) (pow.f64 y #s(literal 5 binary64))) (/.f64 #s(literal -1/3 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) y)) (-.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))))))) |
(/ t y) |
(/.f64 t y) |
(* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 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))) |
(* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) |
(*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (/.f64 #s(literal 2/15 binary64) (pow.f64 y #s(literal 5 binary64))) (/.f64 #s(literal -1/3 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) y))) |
(* t (+ (* (pow t 2) (- (* (pow t 2) (+ (* -17/315 (/ (pow t 2) (pow y 7))) (* 2/15 (/ 1 (pow y 5))))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) |
(*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 #s(literal -17/315 binary64) (/.f64 (*.f64 t t) (pow.f64 y #s(literal 7 binary64))) (/.f64 #s(literal 2/15 binary64) (pow.f64 y #s(literal 5 binary64)))) (/.f64 #s(literal -1/3 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) 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)))))))))) |
(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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(+ 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)) |
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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)) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 #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))))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 #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))))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 #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))))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 #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))))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) |
| 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)))))))))) |
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(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)))))) (*.f64 (/.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))))) (/.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))))) (/.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 x y))) #s(literal -1 binary64)) |
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y))))) |
(*.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 x y))) |
(*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (/.f64 x y)) (cosh.f64 (/.f64 x y)))) |
(*.f64 (expm1.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)))))) |
(*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 (/.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 (/.f64 x y))))) |
(*.f64 (neg.f64 (expm1.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))))))) |
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))))))) |
(tanh.f64 (/.f64 x y)) |
Compiled 22 911 to 1 951 computations (91.5% saved)
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 503 | 9 | 512 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 504 | 9 | 513 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 97.7% | (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z 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)))))) | |
| 64.4% | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) | |
| ▶ | 60.4% | (+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| ▶ | 38.5% | (+.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))))) |
| ▶ | 48.3% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) |
| 60.8% | (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 z (-.f64 t x)))) | |
| 31.4% | (+.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 #s(literal 1/3 binary64) (*.f64 t (*.f64 t t)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (/.f64 z y) (*.f64 z #s(literal 0 binary64))) y))))) | |
| ▶ | 60.8% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)) |
Compiled 390 to 226 computations (42.1% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 y z) | |
| cost-diff | 0 | (*.f64 (*.f64 y z) (-.f64 #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)))) | |
| cost-diff | 128 | (+.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))))) | |
| cost-diff | 320 | (*.f64 t (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 t t) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) y))) | |
| cost-diff | 0 | (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) | |
| cost-diff | 0 | (*.f64 y z) | |
| cost-diff | 0 | (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) | |
| cost-diff | 128 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))) | |
| cost-diff | 0 | #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) | |
| cost-diff | 0 | (*.f64 y z) | |
| cost-diff | 0 | (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) | |
| cost-diff | 128 | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) | |
| cost-diff | 0 | (-.f64 t x) | |
| cost-diff | 0 | (fma.f64 z (-.f64 t x) x) | |
| cost-diff | 0 | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)) | |
| cost-diff | 0 | (tanh.f64 (/.f64 t y)) | |
| cost-diff | 0 | (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) | |
| cost-diff | 0 | (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) | |
| cost-diff | 0 | (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) |
| 11 386× | lower-fma.f32 |
| 11 380× | lower-fma.f64 |
| 6 466× | lower-+.f32 |
| 6 460× | lower-+.f64 |
| 4 080× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 408 |
| 0 | 74 | 391 |
| 1 | 159 | 391 |
| 2 | 367 | 391 |
| 3 | 969 | 376 |
| 4 | 2928 | 376 |
| 0 | 8082 | 368 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) |
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) |
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
(tanh.f64 (/.f64 t y)) |
(/.f64 t y) |
t |
y |
(tanh.f64 (/.f64 x y)) |
(/.f64 x y) |
x |
z |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)) |
(fma.f64 z (-.f64 t x) x) |
z |
(-.f64 t x) |
t |
x |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) |
x |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) |
(*.f64 y z) |
y |
z |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) |
(/.f64 (-.f64 t x) y) |
(-.f64 t x) |
t |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
x |
(*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
(*.f64 y z) |
y |
z |
(-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
#s(approx (tanh (/ t y)) (/.f64 t y)) |
(/.f64 t y) |
t |
(tanh.f64 (/.f64 x y)) |
(/.f64 x y) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #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))))) |
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 y z) |
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))) |
#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)))) |
(*.f64 t (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 t t) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) y))) |
t |
(fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 t t) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) y)) |
#s(literal -1/3 binary64) |
(/.f64 (*.f64 t t) (*.f64 y (*.f64 y y))) |
(*.f64 t t) |
(*.f64 y (*.f64 y y)) |
(*.f64 y y) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
(tanh.f64 (/.f64 x y)) |
(/.f64 x y) |
| Outputs |
|---|
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) |
(fma.f64 y (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) x) |
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) |
(*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
(tanh.f64 (/.f64 t y)) |
(/.f64 t y) |
t |
y |
(tanh.f64 (/.f64 x y)) |
(/.f64 x y) |
x |
z |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)) |
(fma.f64 z (-.f64 t x) x) |
z |
(-.f64 t x) |
t |
x |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) |
(fma.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x) |
x |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) |
(*.f64 y z) |
y |
z |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) |
(/.f64 (-.f64 t x) y) |
(-.f64 t x) |
t |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(fma.f64 y (*.f64 z (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x) |
x |
(*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
(*.f64 y z) |
y |
z |
(-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
#s(approx (tanh (/ t y)) (/.f64 t y)) |
(/.f64 t y) |
t |
(tanh.f64 (/.f64 x y)) |
(/.f64 x y) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #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))))) |
(fma.f64 y (*.f64 z (-.f64 #s(approx (tanh (/ t y)) (*.f64 (/.f64 t y) (fma.f64 t (*.f64 t (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) #s(literal 1 binary64)))) (tanh.f64 (/.f64 x y)))) x) |
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 y (*.f64 z (-.f64 #s(approx (tanh (/ t y)) (*.f64 (/.f64 t y) (fma.f64 t (*.f64 t (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) #s(literal 1 binary64)))) (tanh.f64 (/.f64 x y))))) |
(*.f64 y z) |
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 #s(approx (tanh (/ t y)) (*.f64 (/.f64 t y) (fma.f64 t (*.f64 t (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) #s(literal 1 binary64)))) (tanh.f64 (/.f64 x y))) |
#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)))) |
#s(approx (tanh (/ t y)) (*.f64 (/.f64 t y) (fma.f64 t (*.f64 t (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) #s(literal 1 binary64)))) |
(*.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 t y) (fma.f64 t (*.f64 t (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) #s(literal 1 binary64))) |
t |
(fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 t t) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) y)) |
(fma.f64 (/.f64 t (*.f64 y (*.f64 y y))) (*.f64 t #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) y)) |
#s(literal -1/3 binary64) |
(/.f64 (*.f64 t t) (*.f64 y (*.f64 y y))) |
(*.f64 t t) |
(*.f64 y (*.f64 y y)) |
(*.f64 y y) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
(tanh.f64 (/.f64 x y)) |
(/.f64 x y) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 1.9872864704515223 | (*.f64 t (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 t t) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) y))) | |
| accuracy | 5.674506530198302 | (*.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)))) | |
| accuracy | 15.851595443181653 | (/.f64 (*.f64 t t) (*.f64 y (*.f64 y y))) | |
| accuracy | 31.00670516930014 | #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)))) | |
| accuracy | 0.00390625 | (tanh.f64 (/.f64 x y)) | |
| accuracy | 0.0078125 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))) | |
| accuracy | 5.674506530198302 | (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) | |
| accuracy | 29.772328416658137 | #s(approx (tanh (/ t y)) (/.f64 t y)) | |
| accuracy | 0.0078125 | (/.f64 (-.f64 t x) y) | |
| accuracy | 0.0078125 | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) | |
| accuracy | 5.674506530198302 | (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) | |
| accuracy | 37.691843106639304 | #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) | |
| accuracy | 0 | (-.f64 t x) | |
| accuracy | 0.00390625 | (fma.f64 z (-.f64 t x) x) | |
| accuracy | 25.077516048754152 | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)) | |
| accuracy | 0.00390625 | (tanh.f64 (/.f64 x y)) | |
| accuracy | 0.00390625 | (tanh.f64 (/.f64 t y)) | |
| accuracy | 0.01171875 | (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) | |
| accuracy | 3.85733540396243 | (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) |
| 59.0ms | 215× | 0 | valid |
| 24.0ms | 38× | 2 | valid |
| 1.0ms | 3× | 1 | valid |
Compiled 305 to 31 computations (89.8% saved)
ival-mult: 17.0ms (35.6% of total)ival-div: 11.0ms (23% of total)ival-add: 5.0ms (10.5% of total)const: 4.0ms (8.4% of total)adjust: 3.0ms (6.3% of total)ival-sub: 3.0ms (6.3% of total)ival-tanh: 3.0ms (6.3% 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 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)> |
#<alt (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) 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 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))))> |
#<alt (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))> |
#<alt (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))> |
#<alt (*.f64 t (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 t t) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) 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 (* -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 (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 (* z (- t x))> |
#<alt (* -1 (* z (+ (* -1 (- t x)) (* -1 (/ x z)))))> |
#<alt (* -1 (* z (+ (* -1 (- t x)) (* -1 (/ x z)))))> |
#<alt (* -1 (* z (+ (* -1 (- t x)) (* -1 (/ 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 (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y 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 (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 (* -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 (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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> |
#<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 (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 (/ (- (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 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> |
#<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 (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<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 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 (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 (+ 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 (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 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 (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 (* -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 (* 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))))))))> |
#<alt (* 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))))))))> |
#<alt (* 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))))))))> |
#<alt (* 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))))))))> |
#<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 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)))> |
#<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 (* -1 (* x (+ 1 (* -1 (/ t x)))))> |
#<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)))> |
#<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 (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 (* 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 (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 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 (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 (/ (- (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 (* -1 (/ x y))> |
#<alt (* -1 (* x (+ (* -1 (/ t (* x y))) (/ 1 y))))> |
#<alt (* -1 (* x (+ (* -1 (/ t (* x y))) (/ 1 y))))> |
#<alt (* -1 (* x (+ (* -1 (/ t (* x y))) (/ 1 y))))> |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 12.0ms | y | @ | -inf | ((+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z) x) (* (- (tanh (/ t y)) (tanh (/ x y))) y) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* z (- t x)) x) (- t x) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (- (tanh (/ t y)) (tanh (/ x y))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (- (tanh (/ t y)) (tanh (/ x y))) (* t (+ (* -1/3 (/ (* t t) (* y (* y y)))) (/ 1 y))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (tanh (/ x y)) (/ (- t x) y) (tanh (/ t y)) (tanh (/ t y)) (/ (* t t) (* y (* y y)))) |
| 6.0ms | x | @ | inf | ((+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z) x) (* (- (tanh (/ t y)) (tanh (/ x y))) y) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* z (- t x)) x) (- t x) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (- (tanh (/ t y)) (tanh (/ x y))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (- (tanh (/ t y)) (tanh (/ x y))) (* t (+ (* -1/3 (/ (* t t) (* y (* y y)))) (/ 1 y))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (tanh (/ x y)) (/ (- t x) y) (tanh (/ t y)) (tanh (/ t y)) (/ (* t t) (* y (* y y)))) |
| 6.0ms | y | @ | 0 | ((+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z) x) (* (- (tanh (/ t y)) (tanh (/ x y))) y) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* z (- t x)) x) (- t x) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (- (tanh (/ t y)) (tanh (/ x y))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (- (tanh (/ t y)) (tanh (/ x y))) (* t (+ (* -1/3 (/ (* t t) (* y (* y y)))) (/ 1 y))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (tanh (/ x y)) (/ (- t x) y) (tanh (/ t y)) (tanh (/ t y)) (/ (* t t) (* y (* y y)))) |
| 4.0ms | t | @ | inf | ((+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z) x) (* (- (tanh (/ t y)) (tanh (/ x y))) y) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* z (- t x)) x) (- t x) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (- (tanh (/ t y)) (tanh (/ x y))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (- (tanh (/ t y)) (tanh (/ x y))) (* t (+ (* -1/3 (/ (* t t) (* y (* y y)))) (/ 1 y))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (tanh (/ x y)) (/ (- t x) y) (tanh (/ t y)) (tanh (/ t y)) (/ (* t t) (* y (* y y)))) |
| 4.0ms | t | @ | -inf | ((+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z) x) (* (- (tanh (/ t y)) (tanh (/ x y))) y) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* z (- t x)) x) (- t x) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (- (tanh (/ t y)) (tanh (/ x y))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (- (tanh (/ t y)) (tanh (/ x y))) (* t (+ (* -1/3 (/ (* t t) (* y (* y y)))) (/ 1 y))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (tanh (/ x y)) (/ (- t x) y) (tanh (/ t y)) (tanh (/ t y)) (/ (* t t) (* y (* y y)))) |
| 1× | egg-herbie |
| 14 402× | lower-fma.f64 |
| 14 402× | lower-fma.f32 |
| 4 670× | lower-*.f64 |
| 4 670× | lower-*.f32 |
| 4 344× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 653 | 38446 |
| 1 | 2154 | 28584 |
| 0 | 8598 | 27868 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(* y (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(+ t (* y (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) |
(+ (* t (+ 1 (* -1/3 (/ (pow t 2) (pow y 2))))) (* y (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) |
(+ (* t (+ 1 (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 4))) (* 1/3 (/ 1 (pow y 2))))))) (* y (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) |
(- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y)) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(- (+ (* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(- (+ (* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(/ t y) |
(* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y))) |
(* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) |
(* t (+ (* (pow t 2) (- (* (pow t 2) (+ (* -17/315 (/ (pow t 2) (pow y 7))) (* 2/15 (/ 1 (pow y 5))))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) |
(+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (* -1 (* x z))) |
(+ x (+ (* -1 (* x z)) (* t z))) |
(+ x (+ (* -1 (* x z)) (* t z))) |
(+ x (+ (* -1 (* x z)) (* t z))) |
(* -1 x) |
(- t x) |
(- t x) |
(- t x) |
(+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) |
(+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y)) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(- (+ (* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(- (+ (* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) |
(+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y)) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(- (+ (* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(- (+ (* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(/ t y) |
(* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y))) |
(* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y))) |
(* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y))) |
(+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) |
(+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* -1 (/ x y)) |
(+ (* -1 (/ x y)) (/ t y)) |
(+ (* -1 (/ x y)) (/ t y)) |
(+ (* -1 (/ x y)) (/ t y)) |
(/ t y) |
(* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y))) |
(* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) |
(* t (+ (* (pow t 2) (- (* (pow t 2) (+ (* -17/315 (/ (pow t 2) (pow y 7))) (* 2/15 (/ 1 (pow y 5))))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) |
(/ t y) |
(* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y))) |
(* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) |
(* t (+ (* (pow t 2) (- (* (pow t 2) (+ (* -17/315 (/ (pow t 2) (pow y 7))) (* 2/15 (/ 1 (pow y 5))))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) |
(/ (pow t 2) (pow y 3)) |
(/ (pow t 2) (pow y 3)) |
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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))))))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
x |
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(* -1 (/ x y)) |
(* -1 (* x (+ (* -1 (/ t (* x y))) (/ 1 y)))) |
(* -1 (* x (+ (* -1 (/ t (* x y))) (/ 1 y)))) |
(* -1 (* x (+ (* -1 (/ t (* x y))) (/ 1 y)))) |
| Outputs |
|---|
(+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(fma.f64 (-.f64 (/.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) x) |
(+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.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 z t x)) |
(+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.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 (*.f64 t t) (*.f64 (/.f64 z (pow.f64 y #s(literal 4 binary64))) #s(literal 2/15 binary64)) (*.f64 #s(literal -1/3 binary64) (/.f64 z (*.f64 y y)))) z) x)) |
(* y (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(*.f64 y (-.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))))))) |
(+ t (* y (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) |
(fma.f64 y (-.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)))))) t) |
(+ (* t (+ 1 (* -1/3 (/ (pow t 2) (pow y 2))))) (* y (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) |
(fma.f64 y (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))))) (fma.f64 (*.f64 t (*.f64 t t)) (/.f64 #s(literal -1/3 binary64) (*.f64 y y)) t)) |
(+ (* t (+ 1 (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 4))) (* 1/3 (/ 1 (pow y 2))))))) (* y (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) |
(fma.f64 y (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))))) (fma.f64 (fma.f64 #s(literal 2/15 binary64) (/.f64 (*.f64 t t) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) (*.f64 t (*.f64 t t)) t)) |
(- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #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)))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y)) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (/.f64 t y)) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))))) |
(- (+ (* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(-.f64 (fma.f64 t (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 t t) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) y)) (/.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)))))) |
(- (+ (* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(-.f64 (fma.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (/.f64 #s(literal 2/15 binary64) (pow.f64 y #s(literal 5 binary64))) (/.f64 #s(literal -1/3 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) y)) (/.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)))))) |
(/ t y) |
(/.f64 t y) |
(* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y))) |
(fma.f64 (/.f64 (*.f64 t t) (*.f64 y (*.f64 y y))) (*.f64 #s(literal -1/3 binary64) t) (/.f64 t y)) |
(* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) |
(fma.f64 (fma.f64 (*.f64 t t) (/.f64 #s(literal 2/15 binary64) (pow.f64 y #s(literal 5 binary64))) (/.f64 #s(literal -1/3 binary64) (*.f64 y (*.f64 y y)))) (*.f64 t (*.f64 t t)) (/.f64 t y)) |
(* t (+ (* (pow t 2) (- (* (pow t 2) (+ (* -17/315 (/ (pow t 2) (pow y 7))) (* 2/15 (/ 1 (pow y 5))))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) |
(fma.f64 (fma.f64 (*.f64 t t) (fma.f64 #s(literal -17/315 binary64) (/.f64 (*.f64 t t) (pow.f64 y #s(literal 7 binary64))) (/.f64 #s(literal 2/15 binary64) (pow.f64 y #s(literal 5 binary64)))) (/.f64 #s(literal -1/3 binary64) (*.f64 y (*.f64 y y)))) (*.f64 t (*.f64 t t)) (/.f64 t y)) |
(+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(fma.f64 (-.f64 (/.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) x) |
(+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.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 z t x)) |
(+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.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 (*.f64 t t) (*.f64 (/.f64 z (pow.f64 y #s(literal 4 binary64))) #s(literal 2/15 binary64)) (*.f64 #s(literal -1/3 binary64) (/.f64 z (*.f64 y y)))) z) x)) |
(+ x (* -1 (* x z))) |
(-.f64 x (*.f64 x z)) |
(+ x (+ (* -1 (* x z)) (* t z))) |
(fma.f64 z (-.f64 t x) x) |
(+ x (+ (* -1 (* x z)) (* t z))) |
(fma.f64 z (-.f64 t x) x) |
(+ x (+ (* -1 (* x z)) (* t z))) |
(fma.f64 z (-.f64 t x) x) |
(* -1 x) |
(neg.f64 x) |
(- t x) |
(-.f64 t x) |
(- t x) |
(-.f64 t x) |
(- t x) |
(-.f64 t x) |
(+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(fma.f64 (-.f64 (/.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) x) |
(+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.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 z t x)) |
(+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.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 (*.f64 t t) (*.f64 (/.f64 z (pow.f64 y #s(literal 4 binary64))) #s(literal 2/15 binary64)) (*.f64 #s(literal -1/3 binary64) (/.f64 z (*.f64 y y)))) 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)))))))) |
(*.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)) |
(+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.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) (*.f64 z t)) |
(+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
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(/ t y) |
(/.f64 t y) |
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x |
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
(fma.f64 (neg.f64 x) (/.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)) 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 (neg.f64 x) (/.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)) 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 (neg.f64 x) (/.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)) x) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.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)) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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)) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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)) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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)) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 #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))))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 #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))))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 #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))))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 #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))))))) |
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 (neg.f64 x) (/.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)) 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 (neg.f64 x) (/.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)) 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 (neg.f64 x) (/.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)) x) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.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)) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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)) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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)) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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)) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) |
(* -1 (/ x y)) |
(/.f64 x (neg.f64 y)) |
(* -1 (* x (+ (* -1 (/ t (* x y))) (/ 1 y)))) |
(neg.f64 (fma.f64 x (neg.f64 (/.f64 t (*.f64 x y))) (/.f64 x y))) |
(* -1 (* x (+ (* -1 (/ t (* x y))) (/ 1 y)))) |
(neg.f64 (fma.f64 x (neg.f64 (/.f64 t (*.f64 x y))) (/.f64 x y))) |
(* -1 (* x (+ (* -1 (/ t (* x y))) (/ 1 y)))) |
(neg.f64 (fma.f64 x (neg.f64 (/.f64 t (*.f64 x y))) (/.f64 x y))) |
| 6 706× | lower-*.f32 |
| 6 688× | lower-*.f64 |
| 3 808× | lower-/.f32 |
| 3 798× | lower-/.f64 |
| 2 580× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 301 |
| 0 | 74 | 290 |
| 1 | 309 | 290 |
| 2 | 2610 | 290 |
| 0 | 9088 | 287 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) |
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) |
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
(tanh.f64 (/.f64 t y)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)) |
(fma.f64 z (-.f64 t x) x) |
(-.f64 t x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) |
(*.f64 y z) |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
(-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
(*.f64 t (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 t t) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) y))) |
(+.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 (*.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)))) |
(tanh.f64 (/.f64 x y)) |
(/.f64 (-.f64 t x) y) |
#s(approx (tanh (/ t y)) (/.f64 t y)) |
#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)))) |
(/.f64 (*.f64 t t) (*.f64 y (*.f64 y y))) |
| Outputs |
|---|
(+.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z))) |
(+.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) x) |
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) (neg.f64 x)))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)))) (/.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z))))) |
(fma.f64 y (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) x) |
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x) |
(fma.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) z x) |
(fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x) |
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x) |
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) |
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(/.f64 (-.f64 (*.f64 (neg.f64 (expm1.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 x y))))) (*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y))))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (expm1.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))))) (*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64))))) (expm1.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))))) (*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (expm1.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))))) (*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)))))) (*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (expm1.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64)))) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y))))) (*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64))))) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 x y)))))) (*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64))))) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (expm1.f64 (*.f64 (/.f64 t 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 t y) #s(literal 2 binary64))))) (neg.f64 (expm1.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64)))))) (*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))))))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (expm1.f64 (*.f64 (/.f64 t 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 t 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 t y) #s(literal 2 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))))))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y)))) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y))) (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 x y))))) (*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y)))) #s(literal 1 binary64))) (*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y)))) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y))) (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 x y)))))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y)))) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64)))) (expm1.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))))) (*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y)))) #s(literal 1 binary64))) (*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y)))) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64)))) (expm1.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y)))) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)))))) (*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y)))) #s(literal 1 binary64))) (*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y)))) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))))))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y)))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 x y))))) (*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y)))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y))))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y)))) (+.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 #s(literal -2 binary64) t) y)))) (expm1.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))))) (*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y)))) (+.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 #s(literal -2 binary64) t) y)))) (-.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 #s(literal -2 binary64) t) y)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y)))) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y))))) (*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y)))) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 x y)))))) (*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y)))) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y)))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64)))))) (*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y)))) (neg.f64 (expm1.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64)))))) (*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y)))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))))))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y)))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)))))) (*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y)))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))))))) (*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y)))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (fma.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 t y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)))) (*.f64 (fma.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 t y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64))) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 t y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64))) (fma.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 t y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (+.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 t y)))) (*.f64 (+.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 t y))) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 2 binary64)))) (*.f64 (+.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 t y))) (+.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 t y))))) |
(pow.f64 (/.f64 (fma.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 t y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64))) (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 t y))) (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(*.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 #s(literal 1 binary64) (fma.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 t y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64))))) |
(*.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 t y))))) |
(-.f64 (/.f64 (exp.f64 (/.f64 t y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))) (/.f64 (exp.f64 (/.f64 t (neg.f64 y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))))) |
(-.f64 (/.f64 (exp.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64)))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y)))) (/.f64 (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y)) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64)))) (expm1.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y))) (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y))))) |
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))) |
(/.f64 (expm1.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y))) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y)))) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y)))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y))))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (/.f64 t y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) (exp.f64 (/.f64 t (neg.f64 y))))) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) #s(literal 2 binary64))) |
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(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y)))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y))) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y))) #s(literal 2 binary64))) |
(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64)))) (expm1.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y))) (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y)))) #s(literal -1 binary64)) |
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))))) |
(*.f64 (expm1.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64)))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y))))) |
(tanh.f64 (/.f64 t y)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)) |
(+.f64 x (*.f64 z (-.f64 t x))) |
(+.f64 (*.f64 z (-.f64 t x)) x) |
(-.f64 (/.f64 (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x)))) (-.f64 (*.f64 z (-.f64 t x)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 z (-.f64 t x)) x))) |
(fma.f64 z (-.f64 t x) x) |
(fma.f64 (-.f64 t x) z x) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 z (-.f64 t x))) (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x))))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 z (-.f64 t x)) (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x)))))))) |
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(/.f64 (-.f64 (*.f64 (*.f64 t #s(literal -1 binary64)) (neg.f64 (neg.f64 y))) (*.f64 (neg.f64 y) (neg.f64 (neg.f64 x)))) (*.f64 (neg.f64 y) (neg.f64 (neg.f64 y)))) |
(/.f64 (-.f64 (*.f64 (*.f64 t #s(literal -1 binary64)) y) (*.f64 (neg.f64 y) (*.f64 x #s(literal 1 binary64)))) (*.f64 (neg.f64 y) y)) |
(/.f64 (-.f64 (*.f64 (*.f64 t #s(literal -1 binary64)) (neg.f64 y)) (*.f64 (neg.f64 y) (*.f64 x #s(literal -1 binary64)))) (*.f64 y 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 (/.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 (neg.f64 (-.f64 t x)) (/.f64 #s(literal 1 binary64) (neg.f64 y))) |
(*.f64 (*.f64 (-.f64 t x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (pow.f64 (/.f64 y (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) |
(*.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)) (/.f64 t y)) |
#s(approx (tanh (/ t y)) (fma.f64 t (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 t t)) (*.f64 y (*.f64 y y))) (/.f64 t y))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 y y) (/.f64 y (*.f64 t t)))) #s(literal -1 binary64))) |
(exp.f64 (fma.f64 (log.f64 t) #s(literal 2 binary64) (*.f64 (neg.f64 (log.f64 y)) #s(literal 3 binary64)))) |
(exp.f64 (fma.f64 (neg.f64 (log.f64 y)) #s(literal 3 binary64) (*.f64 (log.f64 t) #s(literal 2 binary64)))) |
(exp.f64 (-.f64 (*.f64 (log.f64 t) #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal 3 binary64)))) |
(neg.f64 (/.f64 (*.f64 t t) (neg.f64 (*.f64 y (*.f64 y y))))) |
(neg.f64 (/.f64 (*.f64 t (neg.f64 t)) (*.f64 y (*.f64 y y)))) |
(/.f64 (*.f64 t t) (*.f64 y (*.f64 y y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (/.f64 y (*.f64 t t)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) (/.f64 y (*.f64 t t))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (/.f64 (*.f64 t t) y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 y y) (/.f64 y (*.f64 t t))))) |
(/.f64 (*.f64 t (neg.f64 t)) (neg.f64 (*.f64 y (*.f64 y y)))) |
(/.f64 (/.f64 (*.f64 t t) y) (*.f64 y y)) |
(/.f64 (*.f64 #s(literal 1 binary64) t) (*.f64 (/.f64 y t) (*.f64 y y))) |
(/.f64 (neg.f64 (*.f64 t (neg.f64 t))) (neg.f64 (neg.f64 (*.f64 y (*.f64 y y))))) |
(/.f64 (neg.f64 (/.f64 (*.f64 t t) y)) (neg.f64 (*.f64 y y))) |
(/.f64 (/.f64 (*.f64 t t) (*.f64 y y)) y) |
(/.f64 (*.f64 (/.f64 t y) t) (*.f64 y y)) |
(/.f64 (*.f64 (*.f64 t t) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))) |
(/.f64 (*.f64 t (/.f64 t (*.f64 y y))) y) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 t (*.f64 y y))) (/.f64 y t)) |
(/.f64 (*.f64 (neg.f64 t) (/.f64 t (*.f64 y y))) (neg.f64 y)) |
(/.f64 (/.f64 (/.f64 (*.f64 t t) y) y) y) |
(pow.f64 (*.f64 (*.f64 y y) (/.f64 y (*.f64 t t))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (*.f64 y y) (/.f64 y (*.f64 t t))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 y y) (/.f64 (*.f64 t t) y)) #s(literal -1 binary64)) |
(*.f64 t (/.f64 t (*.f64 y (*.f64 y y)))) |
(*.f64 t (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 t (*.f64 y y)))) |
(*.f64 (/.f64 t y) (/.f64 t (*.f64 y y))) |
(*.f64 (*.f64 t t) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) (*.f64 y (*.f64 y y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 (*.f64 y y) (*.f64 t t)) #s(literal -1 binary64))) |
(*.f64 (*.f64 t (neg.f64 t)) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 y (*.f64 y y))))) |
(*.f64 (/.f64 t (*.f64 y y)) (/.f64 t y)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (*.f64 t t)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 t t)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 (*.f64 t t) y)) |
(*.f64 (/.f64 (*.f64 t t) y) (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(*.f64 (/.f64 t (*.f64 y (*.f64 y y))) t) |
Compiled 58 739 to 3 331 computations (94.3% saved)
26 alts after pruning (24 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 465 | 24 | 1 489 |
| Fresh | 4 | 0 | 4 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 472 | 26 | 1 498 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 97.7% | (fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) z x) |
| 60.4% | (fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x) | |
| ✓ | 97.7% | (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) |
| 69.4% | (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) | |
| ▶ | 52.1% | (fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) y x) |
| 48.3% | (fma.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x) | |
| 18.4% | (/.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) (-.f64 (*.f64 (*.f64 y z) #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)) (fma.f64 (*.f64 y z) (*.f64 #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 (*.f64 x x) (*.f64 (*.f64 x (*.f64 y z)) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))))) | |
| 26.7% | (+.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)))) #s(approx (tanh (/ x y)) (/.f64 (-.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) (neg.f64 y)) (neg.f64 y)) x) (neg.f64 y)))))) | |
| 34.2% | (+.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)))) #s(approx (tanh (/ x y)) (/.f64 x y))))) | |
| 40.4% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 t x) (*.f64 (+.f64 t x) (-.f64 t x)))) y)))) | |
| 29.2% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y))))) | |
| 32.0% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x)))))) | |
| 41.6% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))) | |
| ▶ | 43.0% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (fma.f64 x (/.f64 t (*.f64 x y)) (/.f64 x (neg.f64 y))))))) |
| 50.8% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))))) | |
| 26.7% | (*.f64 (*.f64 (fma.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x) (-.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))))) | |
| ▶ | 18.8% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (-.f64 (*.f64 (*.f64 t (*.f64 t t)) (fma.f64 t t (*.f64 x (+.f64 t x)))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)) |
| 26.7% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (fma.f64 t t (*.f64 x (+.f64 t x)))) x)) | |
| 46.3% | #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)) | |
| 46.3% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 t x) (*.f64 (+.f64 t x) (-.f64 t x)))) x)) | |
| ✓ | 60.8% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)) |
| 32.6% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (*.f64 (fma.f64 z (-.f64 t x) x) (-.f64 (*.f64 z (-.f64 t x)) x)) (-.f64 (*.f64 z (-.f64 t x)) x))) | |
| 57.3% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (fma.f64 x (fma.f64 z (/.f64 t x) (neg.f64 z)) x))) | |
| 50.2% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (-.f64 x (*.f64 x z)))) | |
| 30.0% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))) | |
| ▶ | 19.9% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) |
Compiled 1 261 to 573 computations (54.6% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 z (/.f64 (-.f64 (*.f64 (*.f64 t (*.f64 t t)) (fma.f64 t t (*.f64 x (+.f64 t x)))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 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 (*.f64 t (*.f64 t t)) (fma.f64 t t (*.f64 x (+.f64 t x)))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)) | |
| cost-diff | 1216 | (-.f64 (*.f64 (*.f64 t (*.f64 t t)) (fma.f64 t t (*.f64 x (+.f64 t x)))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (*.f64 x (*.f64 x x)))) | |
| cost-diff | 2432 | (/.f64 (-.f64 (*.f64 (*.f64 t (*.f64 t t)) (fma.f64 t t (*.f64 x (+.f64 t x)))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (+.f64 t x))))) | |
| cost-diff | 0 | (*.f64 y z) | |
| cost-diff | 0 | (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (fma.f64 x (/.f64 t (*.f64 x y)) (/.f64 x (neg.f64 y)))))) | |
| cost-diff | 128 | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (fma.f64 x (/.f64 t (*.f64 x y)) (/.f64 x (neg.f64 y))))))) | |
| cost-diff | 1344 | (fma.f64 x (/.f64 t (*.f64 x y)) (/.f64 x (neg.f64 y))) | |
| cost-diff | 0 | (/.f64 (-.f64 t x) y) | |
| cost-diff | 0 | #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) | |
| cost-diff | 0 | (*.f64 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 | (/.f64 t y) | |
| cost-diff | 0 | (tanh.f64 (/.f64 t y)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) z x) | |
| cost-diff | 320 | (fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) |
| 11 086× | lower-fma.f32 |
| 11 074× | lower-fma.f64 |
| 4 316× | lower-*.f32 |
| 4 288× | lower-*.f64 |
| 2 892× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 578 |
| 0 | 95 | 544 |
| 1 | 215 | 506 |
| 2 | 573 | 450 |
| 3 | 1874 | 428 |
| 4 | 7720 | 428 |
| 0 | 8081 | 425 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) z x) |
(fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) |
(tanh.f64 (/.f64 t y)) |
(/.f64 t y) |
t |
y |
(*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y) |
(neg.f64 (tanh.f64 (/.f64 x y))) |
(tanh.f64 (/.f64 x y)) |
(/.f64 x y) |
x |
z |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* 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))) #s(approx (/ (- t x) y) (fma.f64 x (/.f64 t (*.f64 x y)) (/.f64 x (neg.f64 y))))))) |
x |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (fma.f64 x (/.f64 t (*.f64 x y)) (/.f64 x (neg.f64 y)))))) |
(*.f64 y z) |
y |
z |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (fma.f64 x (/.f64 t (*.f64 x y)) (/.f64 x (neg.f64 y))))) |
#s(approx (/ (- t x) y) (fma.f64 x (/.f64 t (*.f64 x y)) (/.f64 x (neg.f64 y)))) |
(fma.f64 x (/.f64 t (*.f64 x y)) (/.f64 x (neg.f64 y))) |
(/.f64 t (*.f64 x y)) |
t |
(*.f64 x y) |
(/.f64 x (neg.f64 y)) |
(neg.f64 y) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (-.f64 (*.f64 (*.f64 t (*.f64 t t)) (fma.f64 t t (*.f64 x (+.f64 t x)))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)) |
(fma.f64 z (/.f64 (-.f64 (*.f64 (*.f64 t (*.f64 t t)) (fma.f64 t t (*.f64 x (+.f64 t x)))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (+.f64 t x))))) x) |
z |
(/.f64 (-.f64 (*.f64 (*.f64 t (*.f64 t t)) (fma.f64 t t (*.f64 x (+.f64 t x)))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (+.f64 t x))))) |
(-.f64 (*.f64 (*.f64 t (*.f64 t t)) (fma.f64 t t (*.f64 x (+.f64 t x)))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (*.f64 x (*.f64 x x)))) |
(*.f64 (*.f64 t (*.f64 t t)) (fma.f64 t t (*.f64 x (+.f64 t x)))) |
(*.f64 t (*.f64 t t)) |
t |
(*.f64 t t) |
(fma.f64 t t (*.f64 x (+.f64 t x))) |
(*.f64 x (+.f64 t x)) |
x |
(+.f64 t x) |
(*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 x x)) |
(*.f64 x x) |
(*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (+.f64 t x)))) |
| Outputs |
|---|
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) z x) |
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x) |
(fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) |
(*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
(tanh.f64 (/.f64 t y)) |
(/.f64 t y) |
t |
y |
(*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y) |
(*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y)) |
(neg.f64 (tanh.f64 (/.f64 x y))) |
(tanh.f64 (/.f64 x y)) |
(/.f64 x y) |
x |
z |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 t z))) |
#s(approx (+ (* z (- t x)) x) (*.f64 z t)) |
#s(approx (+ (* z (- t x)) x) (*.f64 t z)) |
(*.f64 z t) |
(*.f64 t z) |
z |
t |
(fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) y x) |
(fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 y z) 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))) #s(approx (/ (- t x) y) (fma.f64 x (/.f64 t (*.f64 x y)) (/.f64 x (neg.f64 y))))))) |
(fma.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (-.f64 t x) y))) x) |
x |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (fma.f64 x (/.f64 t (*.f64 x y)) (/.f64 x (neg.f64 y)))))) |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (-.f64 t x) y)))) |
(*.f64 y z) |
y |
z |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (fma.f64 x (/.f64 t (*.f64 x y)) (/.f64 x (neg.f64 y))))) |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (-.f64 t x) y))) |
#s(approx (/ (- t x) y) (fma.f64 x (/.f64 t (*.f64 x y)) (/.f64 x (neg.f64 y)))) |
#s(approx (/ (- t x) y) (/.f64 (-.f64 t x) y)) |
(fma.f64 x (/.f64 t (*.f64 x y)) (/.f64 x (neg.f64 y))) |
(/.f64 (-.f64 t x) y) |
(/.f64 t (*.f64 x y)) |
(/.f64 t (*.f64 y x)) |
t |
(*.f64 x y) |
(*.f64 y x) |
(/.f64 x (neg.f64 y)) |
(neg.f64 y) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (-.f64 (*.f64 (*.f64 t (*.f64 t t)) (fma.f64 t t (*.f64 x (+.f64 t x)))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))) (fma.f64 t t (*.f64 x (+.f64 t x)))) x)) |
(fma.f64 z (/.f64 (-.f64 (*.f64 (*.f64 t (*.f64 t t)) (fma.f64 t t (*.f64 x (+.f64 t x)))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (+.f64 t x))))) x) |
(fma.f64 z (/.f64 (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))) (fma.f64 t t (*.f64 x (+.f64 t x)))) x) |
z |
(/.f64 (-.f64 (*.f64 (*.f64 t (*.f64 t t)) (fma.f64 t t (*.f64 x (+.f64 t x)))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (+.f64 t x))))) |
(/.f64 (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))) (fma.f64 t t (*.f64 x (+.f64 t x)))) |
(-.f64 (*.f64 (*.f64 t (*.f64 t t)) (fma.f64 t t (*.f64 x (+.f64 t x)))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (*.f64 x (*.f64 x x)))) |
(*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x)))) |
(*.f64 (*.f64 t (*.f64 t t)) (fma.f64 t t (*.f64 x (+.f64 t x)))) |
(*.f64 t (*.f64 (*.f64 t t) (fma.f64 t t (*.f64 x (+.f64 t x))))) |
(*.f64 t (*.f64 t t)) |
t |
(*.f64 t t) |
(fma.f64 t t (*.f64 x (+.f64 t x))) |
(*.f64 x (+.f64 t x)) |
x |
(+.f64 t x) |
(*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (*.f64 x x))) |
(*.f64 x (*.f64 x x)) |
(*.f64 x x) |
(*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (+.f64 t x)))) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 8.140585780773911 | (-.f64 (*.f64 (*.f64 t (*.f64 t t)) (fma.f64 t t (*.f64 x (+.f64 t x)))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (*.f64 x (*.f64 x x)))) | |
| accuracy | 8.705240599089862 | (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (*.f64 x (*.f64 x x))) | |
| accuracy | 25.077516048754152 | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (-.f64 (*.f64 (*.f64 t (*.f64 t t)) (fma.f64 t t (*.f64 x (+.f64 t x)))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)) | |
| accuracy | 47.48634399409855 | (/.f64 (-.f64 (*.f64 (*.f64 t (*.f64 t t)) (fma.f64 t t (*.f64 x (+.f64 t x)))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (+.f64 t x))))) | |
| accuracy | 5.674506530198302 | (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (fma.f64 x (/.f64 t (*.f64 x y)) (/.f64 x (neg.f64 y)))))) | |
| accuracy | 5.834053557152358 | (/.f64 t (*.f64 x y)) | |
| accuracy | 6.1313270515722165 | (fma.f64 x (/.f64 t (*.f64 x y)) (/.f64 x (neg.f64 y))) | |
| accuracy | 37.691843106639304 | #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (fma.f64 x (/.f64 t (*.f64 x y)) (/.f64 x (neg.f64 y))))) | |
| accuracy | 0.0078125 | (/.f64 (-.f64 t x) y) | |
| accuracy | 0.9043543148915916 | (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) | |
| accuracy | 1.0176589312625435 | (fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) y x) | |
| accuracy | 37.691843106639304 | #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) | |
| accuracy | 0 | (*.f64 z t) | |
| accuracy | 25.077516048754152 | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) | |
| accuracy | 34.707275866334946 | #s(approx (+ (* z (- t x)) x) (*.f64 z t)) | |
| accuracy | 0.00390625 | (tanh.f64 (/.f64 t y)) | |
| accuracy | 0.01171875 | (fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) z x) | |
| accuracy | 1.8574422994979312 | (fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) | |
| accuracy | 8.285039461041865 | (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y) |
| 76.0ms | 215× | 0 | valid |
| 33.0ms | 39× | 2 | valid |
| 1.0ms | 1× | 3 | valid |
| 1.0ms | 1× | 1 | valid |
Compiled 450 to 48 computations (89.3% saved)
ival-mult: 36.0ms (43.9% of total)ival-div: 19.0ms (23.2% of total)ival-add: 12.0ms (14.6% of total)adjust: 6.0ms (7.3% of total)ival-sub: 4.0ms (4.9% of total)ival-tanh: 3.0ms (3.7% of total)ival-neg: 2.0ms (2.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y))> |
#<alt (fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) z x)> |
#<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 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 (fma.f64 x (/.f64 t (*.f64 x y)) (/.f64 x (neg.f64 y)))> |
#<alt (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (fma.f64 x (/.f64 t (*.f64 x y)) (/.f64 x (neg.f64 y)))))))> |
#<alt (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (fma.f64 x (/.f64 t (*.f64 x y)) (/.f64 x (neg.f64 y))))))> |
#<alt (*.f64 y z)> |
#<alt (/.f64 (-.f64 (*.f64 (*.f64 t (*.f64 t t)) (fma.f64 t t (*.f64 x (+.f64 t x)))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (+.f64 t x)))))> |
#<alt (-.f64 (*.f64 (*.f64 t (*.f64 t t)) (fma.f64 t t (*.f64 x (+.f64 t x)))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (*.f64 x (*.f64 x x))))> |
#<alt #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (-.f64 (*.f64 (*.f64 t (*.f64 t t)) (fma.f64 t t (*.f64 x (+.f64 t x)))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (+.f64 t x))))) x))> |
#<alt (fma.f64 z (/.f64 (-.f64 (*.f64 (*.f64 t (*.f64 t t)) (fma.f64 t t (*.f64 x (+.f64 t x)))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)> |
#<alt (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)> |
#<alt #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (fma.f64 x (/.f64 t (*.f64 x y)) (/.f64 x (neg.f64 y)))))> |
#<alt (/.f64 t (*.f64 x y))> |
#<alt (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (*.f64 x (*.f64 x x)))> |
| Outputs |
|---|
#<alt (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))> |
#<alt (+ t (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))> |
#<alt (+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (* t (+ 1 (* -1/3 (/ (pow t 2) (pow y 2))))))> |
#<alt (+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (* t (+ 1 (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 4))) (* 1/3 (/ 1 (pow y 2))))))))> |
#<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 (/ 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 (/ t y)> |
#<alt (/ t y)> |
#<alt (/ t y)> |
#<alt (/ t y)> |
#<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 (* -1 (* x z)))> |
#<alt (+ x (+ (* -1 (* x z)) (* t z)))> |
#<alt (+ x (+ (* -1 (* x z)) (* t z)))> |
#<alt (+ x (+ (* -1 (* x z)) (* t z)))> |
#<alt (* t z)> |
#<alt (* t z)> |
#<alt (* t z)> |
#<alt (* t 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 (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))> |
#<alt (+ (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (/ (* t z) y))> |
#<alt (+ (* t (+ (* -1/3 (/ (* (pow t 2) z) (pow y 3))) (/ z y))) (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))> |
#<alt (+ (* t (+ (* (pow t 2) (+ (* -1/3 (/ z (pow y 3))) (* 2/15 (/ (* (pow t 2) z) (pow y 5))))) (/ z y))) (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))> |
#<alt (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))> |
#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y)) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))> |
#<alt (- (+ (* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))> |
#<alt (- (+ (* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))> |
#<alt (* -1 (/ x y))> |
#<alt (+ (* -1 (/ x y)) (/ t y))> |
#<alt (+ (* -1 (/ x y)) (/ t y))> |
#<alt (+ (* -1 (/ x y)) (/ t y))> |
#<alt (* -1 (/ x y))> |
#<alt (+ (* -1 (/ x y)) (/ t y))> |
#<alt (+ (* -1 (/ x y)) (/ t y))> |
#<alt (+ (* -1 (/ x y)) (/ t y))> |
#<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 (* 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 (* -1 x)> |
#<alt (+ t (* -1 x))> |
#<alt (+ (* -1 x) (* t (+ 1 (* -1 (* t (+ (* -1 (/ (+ (* 2 (pow x 2)) (pow x 2)) (pow x 3))) (* 3 (/ 1 x))))))))> |
#<alt (+ (* -1 x) (* t (+ 1 (* t (- (* 2 (/ (* t (+ (* -1 (/ (+ (* 2 (pow x 2)) (pow x 2)) (pow x 3))) (* 3 (/ 1 x)))) x)) (+ (* -1 (/ (+ (* 2 (pow x 2)) (pow x 2)) (pow x 3))) (* 3 (/ 1 x))))))))> |
#<alt (* -1 (pow x 5))> |
#<alt (- (* -1 (* t (pow x 4))) (pow x 5))> |
#<alt (- (* t (- (* -1 (* t (pow x 3))) (pow x 4))) (pow x 5))> |
#<alt (- (* t (- (* t (- (* t (pow x 2)) (pow x 3))) (pow x 4))) (pow x 5))> |
#<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 (+ (* -1 (* x z)) (* t (- (* -1 z) (* -2 z)))))> |
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#<alt (/ t (* x y))> |
#<alt (/ t (* x y))> |
#<alt (/ t (* x y))> |
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#<alt (pow x 5)> |
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#<alt (+ (* -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 (+ (* -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 (+ (* -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 (+ x (* 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 (+ x (* 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 (+ x (* 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 (+ x (* 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))))))))> |
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#<alt (/ t y)> |
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#<alt (/ t y)> |
#<alt (/ t 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))))))))))> |
#<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 (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 (/ x (* t y))) (/ 1 y)))> |
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#<alt (/ t y)> |
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#<alt (* t (+ (* -1 (/ x (* t y))) (/ 1 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 (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 t> |
#<alt (* t (- (+ 1 (/ x t)) (* 2 (/ x t))))> |
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#<alt (* t (- (+ 1 (+ (* -1 (/ (pow x 3) (pow t 3))) (/ x t))) (+ (* -2 (/ (* x (+ (* 2 (* x (- x (* 2 x)))) (* 2 (pow x 2)))) (pow t 3))) (+ (* 2 (/ x t)) (+ (* 2 (/ (* x (- x (* 2 x))) (pow t 2))) (+ (* 2 (/ (pow x 2) (pow t 2))) (+ (* 2 (/ (pow x 3) (pow t 3))) (/ (* (+ (* 2 (pow x 2)) (pow x 2)) (- x (* 2 x))) (pow t 3)))))))))> |
#<alt (pow t 5)> |
#<alt (* (pow t 5) (+ 1 (/ x t)))> |
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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 (* t z)> |
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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 (/ t (* x y))> |
#<alt (/ t (* x y))> |
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#<alt (+ (* -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 (+ (* -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 (+ (* -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 (+ (* -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 (+ x (* 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 (+ x (* 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 (+ x (* 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 (+ x (* 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))))))))> |
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#<alt (/ t y)> |
#<alt (/ t y)> |
#<alt (/ t y)> |
#<alt (/ t 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 (* t z)> |
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#<alt (* t z)> |
#<alt (* t z)> |
#<alt (* t z)> |
#<alt (* t z)> |
#<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 (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 (* -1 (* t (- (/ x (* t y)) (/ 1 y))))> |
#<alt (* -1 (* t (- (/ x (* t y)) (/ 1 y))))> |
#<alt (* -1 (* t (- (/ x (* t y)) (/ 1 y))))> |
#<alt (/ t y)> |
#<alt (* -1 (* t (- (/ x (* t y)) (/ 1 y))))> |
#<alt (* -1 (* t (- (/ x (* t y)) (/ 1 y))))> |
#<alt (* -1 (* t (- (/ x (* t y)) (/ 1 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 t> |
#<alt (* -1 (* t (- (* -1 (/ (- x (* 2 x)) t)) 1)))> |
#<alt (* -1 (* t (- (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (pow x 2)) (+ (* -2 (* x (- x (* 2 x)))) (* -1 (+ (* 2 (pow x 2)) (pow x 2))))) t))) (* 2 x)) t)) 1)))> |
#<alt (* -1 (* t (- (* -1 (/ (- (+ x (* -1 (/ (- (+ (* -1 (/ (- (* -1 (pow x 3)) (+ (* -2 (* x (- (* -1 (pow x 2)) (+ (* -2 (* x (- x (* 2 x)))) (* -1 (+ (* 2 (pow x 2)) (pow x 2))))))) (+ (* 2 (pow x 3)) (* (+ (* 2 (pow x 2)) (pow x 2)) (- x (* 2 x)))))) t)) (* -1 (pow x 2))) (+ (* -2 (* x (- x (* 2 x)))) (* -1 (+ (* 2 (pow x 2)) (pow x 2))))) t))) (* 2 x)) t)) 1)))> |
#<alt (pow t 5)> |
#<alt (* -1 (* (pow t 5) (- (* -1 (/ x t)) 1)))> |
#<alt (* -1 (* (pow t 5) (- (* -1 (/ (+ x (/ (pow x 2) t)) t)) 1)))> |
#<alt (* -1 (* (pow t 5) (- (* -1 (/ (+ x (* -1 (/ (+ (* -1 (pow x 2)) (/ (pow x 3) t)) t))) t)) 1)))> |
#<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 (* t z)> |
#<alt (* -1 (* t (+ (* -1 z) (* -1 (/ (- (+ x (* x z)) (* 2 (* x z))) t)))))> |
#<alt (* -1 (* t (+ (* -1 z) (* -1 (/ (- (+ x (+ (* -1 (/ (- (* -1 (* (pow x 2) z)) (+ (* -2 (* x (- (* x z) (* 2 (* x z))))) (* -1 (* z (+ (* 2 (pow x 2)) (pow x 2)))))) t)) (* x z))) (* 2 (* x z))) t)))))> |
#<alt (* -1 (* t (+ (* -1 z) (* -1 (/ (- (+ x (+ (* -1 (/ (- (+ (* -1 (* (pow x 2) z)) (* -1 (/ (- (* -1 (* (pow x 3) z)) (+ (* -2 (* x (- (* -1 (* (pow x 2) z)) (+ (* -2 (* x (- (* x z) (* 2 (* x z))))) (* -1 (* z (+ (* 2 (pow x 2)) (pow x 2)))))))) (+ (* 2 (* (pow x 3) z)) (* (+ (* 2 (pow x 2)) (pow x 2)) (- (* x z) (* 2 (* x z))))))) t))) (+ (* -2 (* x (- (* x z) (* 2 (* x z))))) (* -1 (* z (+ (* 2 (pow x 2)) (pow x 2)))))) t)) (* x z))) (* 2 (* x z))) t)))))> |
#<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 (* x y))> |
#<alt (/ t (* x y))> |
#<alt (/ t (* x y))> |
#<alt (* (pow t 2) (pow x 3))> |
#<alt (* (pow t 2) (+ (/ (pow x 4) t) (pow x 3)))> |
#<alt (* (pow t 2) (+ (* -1 (/ (+ (* -1 (/ (pow x 5) t)) (* -1 (pow x 4))) t)) (pow x 3)))> |
#<alt (* (pow t 2) (+ (* -1 (/ (+ (* -1 (/ (pow x 5) t)) (* -1 (pow x 4))) t)) (pow x 3)))> |
#<alt x> |
#<alt (+ x (* 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 (+ x (* 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 (+ x (* 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 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> |
#<alt (+ x (* z (- t x)))> |
#<alt (+ x (* z (- t x)))> |
#<alt (+ x (* z (- t x)))> |
#<alt (* t z)> |
#<alt (* t z)> |
#<alt (* t z)> |
#<alt (* t z)> |
#<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 (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<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> |
#<alt (+ x (* z (- (/ (pow t 3) (+ (* x (+ t x)) (pow t 2))) (/ (pow x 3) (+ (* x (+ t x)) (pow t 2))))))> |
#<alt (+ x (* z (- (/ (pow t 3) (+ (* x (+ t x)) (pow t 2))) (/ (pow x 3) (+ (* x (+ t x)) (pow t 2))))))> |
#<alt (+ x (* z (- (/ (pow t 3) (+ (* x (+ t x)) (pow t 2))) (/ (pow x 3) (+ (* x (+ t x)) (pow t 2))))))> |
#<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 (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 (* z (- t x))> |
#<alt (* z (- (+ t (/ x z)) x))> |
#<alt (* z (- (+ t (/ x z)) x))> |
#<alt (* z (- (+ t (/ x z)) x))> |
#<alt (* t z)> |
#<alt (* t z)> |
#<alt (* t z)> |
#<alt (* t 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 (* 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 (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y 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 (* 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 (* z (- (/ (pow t 3) (+ (* x (+ t x)) (pow t 2))) (/ (pow x 3) (+ (* x (+ t x)) (pow t 2)))))> |
#<alt (* z (- (+ (/ x z) (/ (pow t 3) (+ (* x (+ t x)) (pow t 2)))) (/ (pow x 3) (+ (* x (+ t x)) (pow t 2)))))> |
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#<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 (* -1 (* z (+ (* -1 (+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))) (* -1 (/ x z)))))> |
#<alt (* -1 (* z (+ (* -1 (+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))) (* -1 (/ x z)))))> |
#<alt (* -1 (* z (+ (* -1 (+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))) (* -1 (/ 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 (* z (- t x))> |
#<alt (* -1 (* z (+ (* -1 (- t x)) (* -1 (/ x z)))))> |
#<alt (* -1 (* z (+ (* -1 (- t x)) (* -1 (/ x z)))))> |
#<alt (* -1 (* z (+ (* -1 (- t x)) (* -1 (/ x z)))))> |
#<alt (* t z)> |
#<alt (* t z)> |
#<alt (* t z)> |
#<alt (* t 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 (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 (* -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 (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y 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 (/ (* z (- (* (pow t 3) (+ (* x (+ t x)) (pow t 2))) (* (pow x 3) (+ (* x (+ t x)) (pow t 2))))) (pow (+ (* x (+ t x)) (pow t 2)) 2))> |
#<alt (* -1 (* z (+ (* -1 (/ x z)) (* -1 (/ (- (* (pow t 3) (+ (* x (+ t x)) (pow t 2))) (* (pow x 3) (+ (* x (+ t x)) (pow t 2)))) (pow (+ (* x (+ t x)) (pow t 2)) 2))))))> |
#<alt (* -1 (* z (+ (* -1 (/ x z)) (* -1 (/ (- (* (pow t 3) (+ (* x (+ t x)) (pow t 2))) (* (pow x 3) (+ (* x (+ t x)) (pow t 2)))) (pow (+ (* x (+ t x)) (pow t 2)) 2))))))> |
#<alt (* -1 (* z (+ (* -1 (/ x z)) (* -1 (/ (- (* (pow t 3) (+ (* x (+ t x)) (pow t 2))) (* (pow x 3) (+ (* x (+ t x)) (pow t 2)))) (pow (+ (* x (+ t x)) (pow t 2)) 2))))))> |
#<alt (* y (- (+ (* -1 (- (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))> |
#<alt (* y (- (+ (* -1 (- (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))> |
#<alt (* y (- (+ (* -1 (- (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))> |
#<alt (* y (- (+ (* -1 (- (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))> |
#<alt x> |
#<alt (+ x (* y (* z (- (+ (* -1 (- (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))> |
#<alt (+ x (* y (* z (- (+ (* -1 (- (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))> |
#<alt (+ x (* y (* z (- (+ (* -1 (- (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))> |
#<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)))))> |
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#<alt (/ t y)> |
#<alt (/ t y)> |
#<alt (/ t y)> |
#<alt (/ t y)> |
#<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> |
#<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 (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 y)> |
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#<alt (+ (* -1 (/ x y)) (/ t y))> |
#<alt (+ (* -1 (/ x y)) (/ t y))> |
#<alt (/ t y)> |
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#<alt (+ (* -1 (/ x y)) (/ t y))> |
#<alt (+ (* -1 (/ x y)) (/ t y))> |
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#<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 (* 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 t> |
#<alt (+ t (* -1 x))> |
#<alt (+ t (* x (- (* -1 (* (pow x 2) (+ (* -1 (/ (+ (* 2 (pow t 2)) (pow t 2)) (pow t 4))) (* 3 (/ 1 (pow t 2)))))) 1)))> |
#<alt (+ t (* x (- (* (pow x 2) (- (* 2 (/ (* x (+ (* -1 (/ (+ (* 2 (pow t 2)) (pow t 2)) (pow t 4))) (* 3 (/ 1 (pow t 2))))) t)) (+ (* -1 (/ (+ (* 2 (pow t 2)) (pow t 2)) (pow t 4))) (* 3 (/ 1 (pow t 2)))))) 1)))> |
#<alt (pow t 5)> |
#<alt (+ (* (pow t 4) x) (pow t 5))> |
#<alt (+ (* x (+ (* (pow t 3) x) (pow t 4))) (pow t 5))> |
#<alt (+ (* x (+ (* x (+ (* -1 (* (pow t 2) x)) (pow t 3))) (pow t 4))) (pow t 5))> |
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#<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 (* t z)> |
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#<alt (+ (* t z) (* x (- (+ 1 (+ z (* x (- (/ z t) (+ (* 2 (/ (- z (* 2 z)) t)) (/ (* z (+ (* 2 (pow t 2)) (pow t 2))) (pow t 3))))))) (* 2 z))))> |
#<alt (+ (* t z) (* x (- (+ 1 (+ z (* x (- (+ (* x (- (* -1 (/ z (pow t 2))) (+ (* 2 (/ z (pow t 2))) (+ (* 2 (/ (- (/ z t) (+ (* 2 (/ (- z (* 2 z)) t)) (/ (* z (+ (* 2 (pow t 2)) (pow t 2))) (pow t 3)))) t)) (/ (* (+ (* 2 (pow t 2)) (pow t 2)) (- z (* 2 z))) (pow t 4)))))) (/ z t)) (+ (* 2 (/ (- z (* 2 z)) t)) (/ (* z (+ (* 2 (pow t 2)) (pow t 2))) (pow t 3))))))) (* 2 z))))> |
#<alt (* -1 x)> |
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#<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 (/ t (* x y))> |
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#<alt (+ (* -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 (+ (* -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 (+ (* -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 x> |
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#<alt (* x (+ 1 (/ (* z (+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))) x)))> |
#<alt (* x (+ 1 (/ (* z (+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))) x)))> |
#<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 (+ 1 (* -1 z)))> |
#<alt (* x (+ 1 (+ (* -1 z) (/ (* t z) x))))> |
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#<alt (* x (+ 1 (+ (* -1 z) (/ (* t z) x))))> |
#<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 (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 (/ x y))> |
#<alt (* x (- (/ t (* x y)) (/ 1 y)))> |
#<alt (* x (- (/ t (* x y)) (/ 1 y)))> |
#<alt (* x (- (/ t (* x y)) (/ 1 y)))> |
#<alt (* -1 (/ x y))> |
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#<alt (* x (- (/ t (* x y)) (/ 1 y)))> |
#<alt (* x (- (/ t (* x y)) (/ 1 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 (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 (* -1 x)> |
#<alt (* x (- (* -1 (/ t x)) (+ 1 (* -2 (/ t x)))))> |
#<alt (* x (- (+ (* -1 (/ t x)) (* -1 (/ (pow t 2) (pow x 2)))) (+ 1 (+ (* -2 (/ t x)) (+ (* -1 (/ (+ (* 2 (pow t 2)) (pow t 2)) (pow x 2))) (* 2 (/ (* t (- (* -1 t) (* -2 t))) (pow x 2))))))))> |
#<alt (* x (- (+ (* -1 (/ t x)) (+ (* -1 (/ (pow t 2) (pow x 2))) (/ (pow t 3) (pow x 3)))) (+ 1 (+ (* -2 (/ t x)) (+ (* -2 (/ (pow t 3) (pow x 3))) (+ (* -1 (/ (+ (* 2 (pow t 2)) (pow t 2)) (pow x 2))) (+ (* 2 (/ (* t (- (* -1 t) (* -2 t))) (pow x 2))) (+ (* 2 (/ (* t (- (* -1 (pow t 2)) (+ (* -1 (+ (* 2 (pow t 2)) (pow t 2))) (* 2 (* t (- (* -1 t) (* -2 t))))))) (pow x 3))) (/ (* (+ (* 2 (pow t 2)) (pow t 2)) (- (* -1 t) (* -2 t))) (pow x 3))))))))))> |
#<alt (* -1 (pow x 5))> |
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#<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 (+ 1 (* -1 z)))> |
#<alt (* x (- (+ 1 (+ (* -1 z) (* -1 (/ (* t z) x)))) (* -2 (/ (* t z) x))))> |
#<alt (* x (- (+ 1 (+ (* -1 z) (+ (* -1 (/ (* t z) x)) (* -1 (/ (* (pow t 2) z) (pow x 2)))))) (+ (* -2 (/ (* t z) x)) (+ (* -1 (/ (* z (+ (* 2 (pow t 2)) (pow t 2))) (pow x 2))) (* 2 (/ (* t (- (* -1 (* t z)) (* -2 (* t z)))) (pow x 2)))))))> |
#<alt (* x (- (+ 1 (+ (* -1 z) (+ (* -1 (/ (* t z) x)) (+ (* -1 (/ (* (pow t 2) z) (pow x 2))) (/ (* (pow t 3) z) (pow x 3)))))) (+ (* -2 (/ (* t z) x)) (+ (* -2 (/ (* (pow t 3) z) (pow x 3))) (+ (* -1 (/ (* z (+ (* 2 (pow t 2)) (pow t 2))) (pow x 2))) (+ (* 2 (/ (* t (- (* -1 (* t z)) (* -2 (* t z)))) (pow x 2))) (+ (* 2 (/ (* t (- (* -1 (* (pow t 2) z)) (+ (* -1 (* z (+ (* 2 (pow t 2)) (pow t 2)))) (* 2 (* t (- (* -1 (* t z)) (* -2 (* t z)))))))) (pow x 3))) (/ (* (+ (* 2 (pow t 2)) (pow t 2)) (- (* -1 (* t z)) (* -2 (* t z)))) (pow x 3)))))))))> |
#<alt (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))> |
#<alt (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))> |
#<alt (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))> |
#<alt (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (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 (/ t (* x y))> |
#<alt (/ t (* x y))> |
#<alt (/ t (* x y))> |
#<alt (/ t (* x y))> |
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#<alt (+ (* -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 (+ (* -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 (+ (* -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 x> |
#<alt (* -1 (* x (- (* -1 (/ (* z (+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (* z (+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (* z (+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))) x)) 1)))> |
#<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 (* -1 (* x (- z 1)))> |
#<alt (* -1 (* x (- (+ z (* -1 (/ (* t z) x))) 1)))> |
#<alt (* -1 (* x (- (+ z (* -1 (/ (* t z) x))) 1)))> |
#<alt (* -1 (* x (- (+ z (* -1 (/ (* t z) x))) 1)))> |
#<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 (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 (/ x y))> |
#<alt (* -1 (* x (+ (* -1 (/ t (* x y))) (/ 1 y))))> |
#<alt (* -1 (* x (+ (* -1 (/ t (* x y))) (/ 1 y))))> |
#<alt (* -1 (* x (+ (* -1 (/ t (* x y))) (/ 1 y))))> |
#<alt (* -1 (/ x y))> |
#<alt (* -1 (* x (+ (* -1 (/ t (* x y))) (/ 1 y))))> |
#<alt (* -1 (* x (+ (* -1 (/ t (* x y))) (/ 1 y))))> |
#<alt (* -1 (* x (+ (* -1 (/ t (* x y))) (/ 1 y))))> |
#<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 (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 (* -1 x)> |
#<alt (* -1 (* x (+ 1 (* -1 (/ (- (* -1 t) (* -2 t)) x)))))> |
#<alt (* -1 (* x (+ 1 (* -1 (/ (- (+ (* -2 (/ (* t (- (* -1 t) (* -2 t))) x)) (+ (* -1 t) (* 2 (/ (pow t 2) x)))) (* -2 t)) x)))))> |
#<alt (* -1 (* x (+ 1 (* -1 (/ (- (+ (* -1 t) (* -1 (/ (- (* -1 (/ (- (pow t 3) (+ (* -2 (pow t 3)) (+ (* 2 (* t (+ (* -2 (* t (- (* -1 t) (* -2 t)))) (* 2 (pow t 2))))) (* (+ (* 2 (pow t 2)) (pow t 2)) (- (* -1 t) (* -2 t)))))) x)) (+ (* -2 (* t (- (* -1 t) (* -2 t)))) (* 2 (pow t 2)))) x))) (* -2 t)) x)))))> |
#<alt (* -1 (pow x 5))> |
#<alt (* -1 (* (pow x 5) (+ 1 (/ t x))))> |
#<alt (* -1 (* (pow x 5) (+ 1 (* -1 (/ (- (* -1 (/ (pow t 2) x)) t) x)))))> |
#<alt (* -1 (* (pow x 5) (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow t 3) x)) (* -1 (pow t 2))) x)) t) 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 (* -1 (* x (- z 1)))> |
#<alt (* -1 (* x (- (+ z (* -1 (/ (- (* -1 (* t z)) (* -2 (* t z))) x))) 1)))> |
#<alt (* -1 (* x (- (+ z (* -1 (/ (- (+ (* -1 (* t z)) (* -1 (/ (- (* (pow t 2) z) (+ (* -2 (* t (- (* -1 (* t z)) (* -2 (* t z))))) (* z (+ (* 2 (pow t 2)) (pow t 2))))) x))) (* -2 (* t z))) x))) 1)))> |
#<alt (* -1 (* x (- (+ z (* -1 (/ (- (+ (* -1 (* t z)) (* -1 (/ (- (+ (* -1 (/ (- (* (pow t 3) z) (+ (* -2 (* t (- (* (pow t 2) z) (+ (* -2 (* t (- (* -1 (* t z)) (* -2 (* t z))))) (* z (+ (* 2 (pow t 2)) (pow t 2))))))) (+ (* -2 (* (pow t 3) z)) (* (+ (* 2 (pow t 2)) (pow t 2)) (- (* -1 (* t z)) (* -2 (* t z))))))) x)) (* (pow t 2) z)) (+ (* -2 (* t (- (* -1 (* t z)) (* -2 (* t z))))) (* z (+ (* 2 (pow t 2)) (pow t 2))))) x))) (* -2 (* t z))) x))) 1)))> |
#<alt (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))> |
#<alt (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))> |
#<alt (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))> |
#<alt (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (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 (* x y))> |
#<alt (/ t (* x y))> |
#<alt (/ t (* x y))> |
#<alt (pow x 5)> |
#<alt (* -1 (* (pow x 5) (- (* -1 (/ t x)) 1)))> |
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ t (/ (pow t 2) x)) x)) 1)))> |
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ t (/ (pow t 2) x)) x)) 1)))> |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 31.0ms | x | @ | -inf | ((+ (* (tanh (/ t y)) y) (* (neg (tanh (/ x y))) y)) (+ (* (+ (* (tanh (/ t y)) y) (* (neg (tanh (/ x y))) y)) z) x) (tanh (/ t y)) (/ t y) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* z (- t x)) x) (* z t) (+ (* (* z (- (tanh (/ t y)) (tanh (/ x y)))) y) x) (* z (- (tanh (/ t y)) (tanh (/ x y)))) (- (tanh (/ t y)) (tanh (/ x y))) (/ (- t x) y) (+ (* x (/ t (* x y))) (/ x (neg y))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (/ (- (* (* t (* t t)) (+ (* t t) (* x (+ t x)))) (* (+ (* t t) (* x (+ t x))) (* x (* x x)))) (* (+ (* t t) (* x (+ t x))) (+ (* t t) (* x (+ t x))))) (- (* (* t (* t t)) (+ (* t t) (* x (+ t x)))) (* (+ (* t t) (* x (+ t x))) (* x (* x x)))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* z (/ (- (* (* t (* t t)) (+ (* t t) (* x (+ t x)))) (* (+ (* t t) (* x (+ t x))) (* x (* x x)))) (* (+ (* t t) (* x (+ t x))) (+ (* t t) (* x (+ t x)))))) x) (* (neg (tanh (/ x y))) y) (- (tanh (/ t y)) (tanh (/ x y))) (/ t (* x y)) (* (+ (* t t) (* x (+ t x))) (* x (* x x)))) |
| 27.0ms | z | @ | -inf | ((+ (* (tanh (/ t y)) y) (* (neg (tanh (/ x y))) y)) (+ (* (+ (* (tanh (/ t y)) y) (* (neg (tanh (/ x y))) y)) z) x) (tanh (/ t y)) (/ t y) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* z (- t x)) x) (* z t) (+ (* (* z (- (tanh (/ t y)) (tanh (/ x y)))) y) x) (* z (- (tanh (/ t y)) (tanh (/ x y)))) (- (tanh (/ t y)) (tanh (/ x y))) (/ (- t x) y) (+ (* x (/ t (* x y))) (/ x (neg y))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (/ (- (* (* t (* t t)) (+ (* t t) (* x (+ t x)))) (* (+ (* t t) (* x (+ t x))) (* x (* x x)))) (* (+ (* t t) (* x (+ t x))) (+ (* t t) (* x (+ t x))))) (- (* (* t (* t t)) (+ (* t t) (* x (+ t x)))) (* (+ (* t t) (* x (+ t x))) (* x (* x x)))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* z (/ (- (* (* t (* t t)) (+ (* t t) (* x (+ t x)))) (* (+ (* t t) (* x (+ t x))) (* x (* x x)))) (* (+ (* t t) (* x (+ t x))) (+ (* t t) (* x (+ t x)))))) x) (* (neg (tanh (/ x y))) y) (- (tanh (/ t y)) (tanh (/ x y))) (/ t (* x y)) (* (+ (* t t) (* x (+ t x))) (* x (* x x)))) |
| 21.0ms | t | @ | 0 | ((+ (* (tanh (/ t y)) y) (* (neg (tanh (/ x y))) y)) (+ (* (+ (* (tanh (/ t y)) y) (* (neg (tanh (/ x y))) y)) z) x) (tanh (/ t y)) (/ t y) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* z (- t x)) x) (* z t) (+ (* (* z (- (tanh (/ t y)) (tanh (/ x y)))) y) x) (* z (- (tanh (/ t y)) (tanh (/ x y)))) (- (tanh (/ t y)) (tanh (/ x y))) (/ (- t x) y) (+ (* x (/ t (* x y))) (/ x (neg y))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (/ (- (* (* t (* t t)) (+ (* t t) (* x (+ t x)))) (* (+ (* t t) (* x (+ t x))) (* x (* x x)))) (* (+ (* t t) (* x (+ t x))) (+ (* t t) (* x (+ t x))))) (- (* (* t (* t t)) (+ (* t t) (* x (+ t x)))) (* (+ (* t t) (* x (+ t x))) (* x (* x x)))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* z (/ (- (* (* t (* t t)) (+ (* t t) (* x (+ t x)))) (* (+ (* t t) (* x (+ t x))) (* x (* x x)))) (* (+ (* t t) (* x (+ t x))) (+ (* t t) (* x (+ t x)))))) x) (* (neg (tanh (/ x y))) y) (- (tanh (/ t y)) (tanh (/ x y))) (/ t (* x y)) (* (+ (* t t) (* x (+ t x))) (* x (* x x)))) |
| 10.0ms | t | @ | inf | ((+ (* (tanh (/ t y)) y) (* (neg (tanh (/ x y))) y)) (+ (* (+ (* (tanh (/ t y)) y) (* (neg (tanh (/ x y))) y)) z) x) (tanh (/ t y)) (/ t y) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* z (- t x)) x) (* z t) (+ (* (* z (- (tanh (/ t y)) (tanh (/ x y)))) y) x) (* z (- (tanh (/ t y)) (tanh (/ x y)))) (- (tanh (/ t y)) (tanh (/ x y))) (/ (- t x) y) (+ (* x (/ t (* x y))) (/ x (neg y))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (/ (- (* (* t (* t t)) (+ (* t t) (* x (+ t x)))) (* (+ (* t t) (* x (+ t x))) (* x (* x x)))) (* (+ (* t t) (* x (+ t x))) (+ (* t t) (* x (+ t x))))) (- (* (* t (* t t)) (+ (* t t) (* x (+ t x)))) (* (+ (* t t) (* x (+ t x))) (* x (* x x)))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* z (/ (- (* (* t (* t t)) (+ (* t t) (* x (+ t x)))) (* (+ (* t t) (* x (+ t x))) (* x (* x x)))) (* (+ (* t t) (* x (+ t x))) (+ (* t t) (* x (+ t x)))))) x) (* (neg (tanh (/ x y))) y) (- (tanh (/ t y)) (tanh (/ x y))) (/ t (* x y)) (* (+ (* t t) (* x (+ t x))) (* x (* x x)))) |
| 7.0ms | t | @ | -inf | ((+ (* (tanh (/ t y)) y) (* (neg (tanh (/ x y))) y)) (+ (* (+ (* (tanh (/ t y)) y) (* (neg (tanh (/ x y))) y)) z) x) (tanh (/ t y)) (/ t y) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* z (- t x)) x) (* z t) (+ (* (* z (- (tanh (/ t y)) (tanh (/ x y)))) y) x) (* z (- (tanh (/ t y)) (tanh (/ x y)))) (- (tanh (/ t y)) (tanh (/ x y))) (/ (- t x) y) (+ (* x (/ t (* x y))) (/ x (neg y))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (/ (- (* (* t (* t t)) (+ (* t t) (* x (+ t x)))) (* (+ (* t t) (* x (+ t x))) (* x (* x x)))) (* (+ (* t t) (* x (+ t x))) (+ (* t t) (* x (+ t x))))) (- (* (* t (* t t)) (+ (* t t) (* x (+ t x)))) (* (+ (* t t) (* x (+ t x))) (* x (* x x)))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* z (/ (- (* (* t (* t t)) (+ (* t t) (* x (+ t x)))) (* (+ (* t t) (* x (+ t x))) (* x (* x x)))) (* (+ (* t t) (* x (+ t x))) (+ (* t t) (* x (+ t x)))))) x) (* (neg (tanh (/ x y))) y) (- (tanh (/ t y)) (tanh (/ x y))) (/ t (* x y)) (* (+ (* t t) (* x (+ t x))) (* x (* x x)))) |
| 1× | egg-herbie |
| 8 530× | lower-fma.f64 |
| 8 530× | lower-fma.f32 |
| 5 882× | lower-*.f64 |
| 5 882× | lower-*.f32 |
| 5 210× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1351 | 33338 |
| 1 | 4521 | 29570 |
| 0 | 9318 | 28725 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(+ t (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (* t (+ 1 (* -1/3 (/ (pow t 2) (pow y 2)))))) |
(+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (* t (+ 1 (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 4))) (* 1/3 (/ 1 (pow y 2)))))))) |
(+ x (* -1 (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(+ x (+ (* -1 (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (* t z))) |
(+ x (+ (* -1 (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))))) |
(+ x (+ (* -1 (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))))) |
(/ t y) |
(* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y))) |
(* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) |
(* t (+ (* (pow t 2) (- (* (pow t 2) (+ (* -17/315 (/ (pow t 2) (pow y 7))) (* 2/15 (/ 1 (pow y 5))))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t y) |
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t |
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x |
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
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(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
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(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
(* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(* -1 (/ x y)) |
(* -1 (* x (+ (* -1 (/ t (* x y))) (/ 1 y)))) |
(* -1 (* x (+ (* -1 (/ t (* x y))) (/ 1 y)))) |
(* -1 (* x (+ (* -1 (/ t (* x y))) (/ 1 y)))) |
(* -1 (/ x y)) |
(* -1 (* x (+ (* -1 (/ t (* x y))) (/ 1 y)))) |
(* -1 (* x (+ (* -1 (/ t (* x y))) (/ 1 y)))) |
(* -1 (* x (+ (* -1 (/ t (* x y))) (/ 1 y)))) |
x |
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 t) (* -2 t)) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- (+ (* -2 (/ (* t (- (* -1 t) (* -2 t))) x)) (+ (* -1 t) (* 2 (/ (pow t 2) x)))) (* -2 t)) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- (+ (* -1 t) (* -1 (/ (- (* -1 (/ (- (pow t 3) (+ (* -2 (pow t 3)) (+ (* 2 (* t (+ (* -2 (* t (- (* -1 t) (* -2 t)))) (* 2 (pow t 2))))) (* (+ (* 2 (pow t 2)) (pow t 2)) (- (* -1 t) (* -2 t)))))) x)) (+ (* -2 (* t (- (* -1 t) (* -2 t)))) (* 2 (pow t 2)))) x))) (* -2 t)) x))))) |
(* -1 (pow x 5)) |
(* -1 (* (pow x 5) (+ 1 (/ t x)))) |
(* -1 (* (pow x 5) (+ 1 (* -1 (/ (- (* -1 (/ (pow t 2) x)) t) x))))) |
(* -1 (* (pow x 5) (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow t 3) x)) (* -1 (pow t 2))) x)) t) x))))) |
x |
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
(* -1 (* x (- z 1))) |
(* -1 (* x (- (+ z (* -1 (/ (- (* -1 (* t z)) (* -2 (* t z))) x))) 1))) |
(* -1 (* x (- (+ z (* -1 (/ (- (+ (* -1 (* t z)) (* -1 (/ (- (* (pow t 2) z) (+ (* -2 (* t (- (* -1 (* t z)) (* -2 (* t z))))) (* z (+ (* 2 (pow t 2)) (pow t 2))))) x))) (* -2 (* t z))) x))) 1))) |
(* -1 (* x (- (+ z (* -1 (/ (- (+ (* -1 (* t z)) (* -1 (/ (- (+ (* -1 (/ (- (* (pow t 3) z) (+ (* -2 (* t (- (* (pow t 2) z) (+ (* -2 (* t (- (* -1 (* t z)) (* -2 (* t z))))) (* z (+ (* 2 (pow t 2)) (pow t 2))))))) (+ (* -2 (* (pow t 3) z)) (* (+ (* 2 (pow t 2)) (pow t 2)) (- (* -1 (* t z)) (* -2 (* t z))))))) x)) (* (pow t 2) z)) (+ (* -2 (* t (- (* -1 (* t z)) (* -2 (* t z))))) (* z (+ (* 2 (pow t 2)) (pow t 2))))) x))) (* -2 (* t z))) x))) 1))) |
(* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(/ t (* x y)) |
(/ t (* x y)) |
(/ t (* x y)) |
(/ t (* x y)) |
(pow x 5) |
(* -1 (* (pow x 5) (- (* -1 (/ t x)) 1))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ t (/ (pow t 2) x)) x)) 1))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ t (/ (pow t 2) x)) x)) 1))) |
| Outputs |
|---|
(* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(/.f64 (*.f64 y (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) (neg.f64 (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))))) |
(+ t (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(fma.f64 (/.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))))) (neg.f64 y) t) |
(+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (* t (+ 1 (* -1/3 (/ (pow t 2) (pow y 2)))))) |
(fma.f64 (/.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))))) (neg.f64 y) (fma.f64 t (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 t t)) (*.f64 y y)) t)) |
(+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (* t (+ 1 (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 4))) (* 1/3 (/ 1 (pow y 2)))))))) |
(-.f64 (fma.f64 t (*.f64 (*.f64 t t) (fma.f64 #s(literal 2/15 binary64) (/.f64 (*.f64 t t) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal -1/3 binary64) (*.f64 y y)))) t) (/.f64 (*.f64 y (-.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))))))) |
(-.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))) |
(+.f64 x (-.f64 (*.f64 t z) (/.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 (* -1/3 (/ (* (pow t 2) z) (pow y 2))))))) |
(+.f64 x (-.f64 (*.f64 t (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (*.f64 t t) z) (*.f64 y y)) z)) (/.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 (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))))) |
(+.f64 x (fma.f64 (neg.f64 y) (/.f64 (*.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))) z) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 #s(literal -1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 t t) z)) (pow.f64 y #s(literal 4 binary64)))) z)))) |
(/ t y) |
(/.f64 t y) |
(* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 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))) |
(* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) |
(*.f64 t (fma.f64 (*.f64 t t) (fma.f64 #s(literal 2/15 binary64) (/.f64 (*.f64 t t) (pow.f64 y #s(literal 5 binary64))) (/.f64 #s(literal -1/3 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) y))) |
(* t (+ (* (pow t 2) (- (* (pow t 2) (+ (* -17/315 (/ (pow t 2) (pow y 7))) (* 2/15 (/ 1 (pow y 5))))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) |
(*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 #s(literal -17/315 binary64) (/.f64 (*.f64 t t) (pow.f64 y #s(literal 7 binary64))) (/.f64 #s(literal 2/15 binary64) (pow.f64 y #s(literal 5 binary64)))) (/.f64 #s(literal -1/3 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) y))) |
(/ t y) |
(/.f64 t y) |
(/ t y) |
(/.f64 t y) |
(/ t y) |
(/.f64 t y) |
(/ t y) |
(/.f64 t y) |
(+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(fma.f64 (*.f64 y z) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))))) x) |
(+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+.f64 x (fma.f64 (*.f64 y z) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))))) (*.f64 t z))) |
(+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+.f64 x (fma.f64 (*.f64 y z) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))))) (*.f64 t (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (*.f64 t t) z) (*.f64 y y)) z)))) |
(+ x (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+.f64 x (fma.f64 (*.f64 y z) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))))) (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 #s(literal -1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 t t) z)) (pow.f64 y #s(literal 4 binary64)))) z)))) |
(+ x (* -1 (* x z))) |
(-.f64 x (*.f64 x z)) |
(+ x (+ (* -1 (* x z)) (* t z))) |
(fma.f64 z (-.f64 t x) x) |
(+ x (+ (* -1 (* x z)) (* t z))) |
(fma.f64 z (-.f64 t x) x) |
(+ x (+ (* -1 (* x z)) (* t z))) |
(fma.f64 z (-.f64 t x) x) |
(* t z) |
(*.f64 t z) |
(* t z) |
(*.f64 t z) |
(* t z) |
(*.f64 t z) |
(* t z) |
(*.f64 t z) |
(+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(fma.f64 (*.f64 y z) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))))) x) |
(+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+.f64 x (fma.f64 (*.f64 y z) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))))) (*.f64 t z))) |
(+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+.f64 x (fma.f64 (*.f64 y z) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))))) (*.f64 t (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (*.f64 t t) z) (*.f64 y y)) z)))) |
(+ x (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+.f64 x (fma.f64 (*.f64 y z) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))))) (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 #s(literal -1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 t t) z)) (pow.f64 y #s(literal 4 binary64)))) z)))) |
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(* -1 (* x (- (+ z (* -1 (/ (- (+ (* -1 (* t z)) (* -1 (/ (- (* (pow t 2) z) (+ (* -2 (* t (- (* -1 (* t z)) (* -2 (* t z))))) (* z (+ (* 2 (pow t 2)) (pow t 2))))) x))) (* -2 (* t z))) x))) 1))) |
(fma.f64 (neg.f64 x) (-.f64 z (/.f64 (+.f64 (neg.f64 (fma.f64 t z (/.f64 (-.f64 (*.f64 (*.f64 t t) z) (fma.f64 z (*.f64 #s(literal 3 binary64) (*.f64 t t)) (*.f64 #s(literal -2 binary64) (*.f64 t (*.f64 t z))))) x))) (*.f64 #s(literal 2 binary64) (*.f64 t z))) x)) x) |
(* -1 (* x (- (+ z (* -1 (/ (- (+ (* -1 (* t z)) (* -1 (/ (- (+ (* -1 (/ (- (* (pow t 3) z) (+ (* -2 (* t (- (* (pow t 2) z) (+ (* -2 (* t (- (* -1 (* t z)) (* -2 (* t z))))) (* z (+ (* 2 (pow t 2)) (pow t 2))))))) (+ (* -2 (* (pow t 3) z)) (* (+ (* 2 (pow t 2)) (pow t 2)) (- (* -1 (* t z)) (* -2 (* t z))))))) x)) (* (pow t 2) z)) (+ (* -2 (* t (- (* -1 (* t z)) (* -2 (* t z))))) (* z (+ (* 2 (pow t 2)) (pow t 2))))) x))) (* -2 (* t z))) x))) 1))) |
(fma.f64 (neg.f64 x) (-.f64 z (/.f64 (+.f64 (neg.f64 (fma.f64 t z (/.f64 (-.f64 (-.f64 (*.f64 (*.f64 t t) z) (/.f64 (-.f64 (*.f64 z (*.f64 t (*.f64 t t))) (fma.f64 (*.f64 t #s(literal -2 binary64)) (-.f64 (*.f64 (*.f64 t t) z) (fma.f64 z (*.f64 #s(literal 3 binary64) (*.f64 t t)) (*.f64 #s(literal -2 binary64) (*.f64 t (*.f64 t z))))) (fma.f64 (*.f64 t z) (*.f64 #s(literal 3 binary64) (*.f64 t t)) (*.f64 #s(literal -2 binary64) (*.f64 z (*.f64 t (*.f64 t t))))))) x)) (fma.f64 z (*.f64 #s(literal 3 binary64) (*.f64 t t)) (*.f64 #s(literal -2 binary64) (*.f64 t (*.f64 t z))))) x))) (*.f64 #s(literal 2 binary64) (*.f64 t z))) x)) x) |
(* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(/.f64 (*.f64 y (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) (neg.f64 (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))))) |
(* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(/.f64 (*.f64 y (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) (neg.f64 (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))))) |
(* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(/.f64 (*.f64 y (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) (neg.f64 (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))))) |
(* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(/.f64 (*.f64 y (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) (neg.f64 (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y)))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y)))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y)))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y)))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))))))) |
(/ t (* x y)) |
(/.f64 t (*.f64 y x)) |
(/ t (* x y)) |
(/.f64 t (*.f64 y x)) |
(/ t (* x y)) |
(/.f64 t (*.f64 y x)) |
(/ t (* x y)) |
(/.f64 t (*.f64 y x)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(* -1 (* (pow x 5) (- (* -1 (/ t x)) 1))) |
(neg.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 t x))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ t (/ (pow t 2) x)) x)) 1))) |
(*.f64 (+.f64 (/.f64 (fma.f64 t (/.f64 t x) t) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 (pow.f64 x #s(literal 5 binary64)))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ t (/ (pow t 2) x)) x)) 1))) |
(*.f64 (+.f64 (/.f64 (fma.f64 t (/.f64 t x) t) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 (pow.f64 x #s(literal 5 binary64)))) |
| 4 098× | lower-*.f32 |
| 4 070× | lower-*.f64 |
| 3 950× | lower-/.f32 |
| 3 938× | lower-/.f64 |
| 3 424× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 457 |
| 0 | 95 | 414 |
| 1 | 383 | 376 |
| 2 | 3466 | 368 |
| 0 | 8606 | 365 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) |
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) z x) |
(tanh.f64 (/.f64 t y)) |
(/.f64 t y) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* 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) |
(fma.f64 x (/.f64 t (*.f64 x y)) (/.f64 x (neg.f64 y))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (fma.f64 x (/.f64 t (*.f64 x y)) (/.f64 x (neg.f64 y))))))) |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (fma.f64 x (/.f64 t (*.f64 x y)) (/.f64 x (neg.f64 y)))))) |
(*.f64 y z) |
(/.f64 (-.f64 (*.f64 (*.f64 t (*.f64 t t)) (fma.f64 t t (*.f64 x (+.f64 t x)))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (+.f64 t x))))) |
(-.f64 (*.f64 (*.f64 t (*.f64 t t)) (fma.f64 t t (*.f64 x (+.f64 t x)))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (*.f64 x (*.f64 x x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (-.f64 (*.f64 (*.f64 t (*.f64 t t)) (fma.f64 t t (*.f64 x (+.f64 t x)))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)) |
(fma.f64 z (/.f64 (-.f64 (*.f64 (*.f64 t (*.f64 t t)) (fma.f64 t t (*.f64 x (+.f64 t x)))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (+.f64 t x))))) x) |
(*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y) |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (fma.f64 x (/.f64 t (*.f64 x y)) (/.f64 x (neg.f64 y))))) |
(/.f64 t (*.f64 x y)) |
(*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (*.f64 x (*.f64 x x))) |
| Outputs |
|---|
(+.f64 (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y)) (*.f64 y (tanh.f64 (/.f64 t y)))) |
(+.f64 (*.f64 y (tanh.f64 (/.f64 t y))) (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y))) |
(-.f64 (*.f64 y (tanh.f64 (/.f64 t y))) (*.f64 y (tanh.f64 (/.f64 x y)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 y (tanh.f64 (/.f64 t y))) #s(literal 2 binary64)) (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (neg.f64 (tanh.f64 (/.f64 x y)))))) (/.f64 (pow.f64 (*.f64 y (tanh.f64 (/.f64 x y))) #s(literal 2 binary64)) (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (neg.f64 (tanh.f64 (/.f64 x y))))))) |
(fma.f64 y (tanh.f64 (/.f64 t y)) (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y))) |
(fma.f64 y (neg.f64 (tanh.f64 (/.f64 x y))) (*.f64 y (tanh.f64 (/.f64 t y)))) |
(fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y))) |
(fma.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y) (*.f64 y (tanh.f64 (/.f64 t y)))) |
(fma.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y (*.f64 y (tanh.f64 (/.f64 t y)))) |
(fma.f64 (neg.f64 y) (tanh.f64 (/.f64 x y)) (*.f64 y (tanh.f64 (/.f64 t y)))) |
(fma.f64 #s(literal -1 binary64) (*.f64 y (tanh.f64 (/.f64 x y))) (*.f64 y (tanh.f64 (/.f64 t y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y)) (-.f64 (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y)) (*.f64 y (tanh.f64 (/.f64 t y)))) (pow.f64 (*.f64 y (tanh.f64 (/.f64 t y))) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y (tanh.f64 (/.f64 t y))) #s(literal 3 binary64)) (pow.f64 (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (neg.f64 (tanh.f64 (/.f64 x y))))) (-.f64 (pow.f64 (*.f64 y (tanh.f64 (/.f64 t y))) #s(literal 2 binary64)) (pow.f64 (*.f64 y (tanh.f64 (/.f64 x y))) #s(literal 2 binary64))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y (tanh.f64 (/.f64 t y))) #s(literal 3 binary64)) (pow.f64 (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y)) #s(literal 3 binary64))) (fma.f64 (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y)) (-.f64 (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y)) (*.f64 y (tanh.f64 (/.f64 t y)))) (pow.f64 (*.f64 y (tanh.f64 (/.f64 t y))) #s(literal 2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y (tanh.f64 (/.f64 t y))) #s(literal 3 binary64)) (pow.f64 (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y (tanh.f64 (/.f64 x y))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y (tanh.f64 (/.f64 t y))) #s(literal 2 binary64)) (*.f64 y (*.f64 (tanh.f64 (/.f64 t y)) (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y)) (-.f64 (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y)) (*.f64 y (tanh.f64 (/.f64 t y)))) (pow.f64 (*.f64 y (tanh.f64 (/.f64 t y))) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y (tanh.f64 (/.f64 t y))) #s(literal 3 binary64)) (pow.f64 (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y)) #s(literal 3 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (neg.f64 (tanh.f64 (/.f64 x y))))) (-.f64 (pow.f64 (*.f64 y (tanh.f64 (/.f64 t y))) #s(literal 2 binary64)) (pow.f64 (*.f64 y (tanh.f64 (/.f64 x y))) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y (tanh.f64 (/.f64 t y))) #s(literal 2 binary64)) (pow.f64 (*.f64 y (tanh.f64 (/.f64 x y))) #s(literal 2 binary64))) (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (neg.f64 (tanh.f64 (/.f64 x y)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y (tanh.f64 (/.f64 t y))) #s(literal 3 binary64)) (pow.f64 (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y)) (-.f64 (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y)) (*.f64 y (tanh.f64 (/.f64 t y)))) (pow.f64 (*.f64 y (tanh.f64 (/.f64 t y))) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y (tanh.f64 (/.f64 t y))) #s(literal 3 binary64)) (pow.f64 (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 y (tanh.f64 (/.f64 x y))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y (tanh.f64 (/.f64 t y))) #s(literal 2 binary64)) (*.f64 y (*.f64 (tanh.f64 (/.f64 t y)) (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y)))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y (tanh.f64 (/.f64 t y))) #s(literal 2 binary64)) (pow.f64 (*.f64 y (tanh.f64 (/.f64 x y))) #s(literal 2 binary64)))) (neg.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (neg.f64 (tanh.f64 (/.f64 x y))))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y (tanh.f64 (/.f64 x y))) #s(literal 2 binary64)) (pow.f64 (*.f64 y (tanh.f64 (/.f64 t y))) #s(literal 2 binary64))) (-.f64 (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y)) (*.f64 y (tanh.f64 (/.f64 t y))))) |
(/.f64 (*.f64 y (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64)))) (fma.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 y (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 2 binary64)))) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y (tanh.f64 (/.f64 t y))) #s(literal 3 binary64)) (pow.f64 (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y)) (-.f64 (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y)) (*.f64 y (tanh.f64 (/.f64 t y)))) (pow.f64 (*.f64 y (tanh.f64 (/.f64 t y))) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y (tanh.f64 (/.f64 t y))) #s(literal 2 binary64)) (pow.f64 (*.f64 y (tanh.f64 (/.f64 x y))) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (neg.f64 (tanh.f64 (/.f64 x y)))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y (tanh.f64 (/.f64 x y))) #s(literal 2 binary64)) (pow.f64 (*.f64 y (tanh.f64 (/.f64 t y))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y)) (*.f64 y (tanh.f64 (/.f64 t y)))))) |
(/.f64 (neg.f64 (*.f64 y (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 y (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 2 binary64))))) (neg.f64 (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(pow.f64 (/.f64 (fma.f64 (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y)) (-.f64 (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y)) (*.f64 y (tanh.f64 (/.f64 t y)))) (pow.f64 (*.f64 y (tanh.f64 (/.f64 t y))) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y (tanh.f64 (/.f64 t y))) #s(literal 3 binary64)) (pow.f64 (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (neg.f64 (tanh.f64 (/.f64 x y))))) (-.f64 (pow.f64 (*.f64 y (tanh.f64 (/.f64 t y))) #s(literal 2 binary64)) (pow.f64 (*.f64 y (tanh.f64 (/.f64 x y))) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) |
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(*.f64 (fma.f64 x (*.f64 x x) (pow.f64 (/.f64 (*.f64 z (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (+.f64 t x))))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (/.f64 (*.f64 z (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (+.f64 t x)))))) (/.f64 (*.f64 (*.f64 z (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)))) (*.f64 z (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x))))) (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (+.f64 t x)))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (+.f64 t x))))))))) |
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 z (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)))) (*.f64 z (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x))))) (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (+.f64 t x)))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (+.f64 t x)))))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (+.f64 t x))))) (neg.f64 x)))) |
(-.f64 #s(literal 0 binary64) (*.f64 y (tanh.f64 (/.f64 x y)))) |
(neg.f64 (*.f64 y (tanh.f64 (/.f64 x y)))) |
(*.f64 y (neg.f64 (tanh.f64 (/.f64 x y)))) |
(*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y)) |
(*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y) |
(*.f64 (neg.f64 y) (tanh.f64 (/.f64 x y))) |
(*.f64 #s(literal -1 binary64) (*.f64 y (tanh.f64 (/.f64 x y)))) |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (-.f64 (*.f64 x (/.f64 t x)) x) y))) |
(exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 x t))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 t (*.f64 y (neg.f64 x)))) |
(neg.f64 (/.f64 (neg.f64 t) (*.f64 y x))) |
(/.f64 t (*.f64 y x)) |
(/.f64 (/.f64 t y) x) |
(/.f64 (/.f64 t (neg.f64 y)) (neg.f64 x)) |
(/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 x t))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (/.f64 x t)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 t x))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 y (/.f64 x t))))) |
(/.f64 (neg.f64 t) (*.f64 y (neg.f64 x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 y (/.f64 x t)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 y (/.f64 x t)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (/.f64 t x)))) |
(/.f64 (/.f64 t x) y) |
(/.f64 (neg.f64 (neg.f64 t)) (neg.f64 (*.f64 y (neg.f64 x)))) |
(/.f64 (neg.f64 (/.f64 t x)) (neg.f64 y)) |
(/.f64 (*.f64 t #s(literal 1 binary64)) (*.f64 y x)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 t))) (neg.f64 (neg.f64 (*.f64 y (neg.f64 x))))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 t x))) y) |
(/.f64 (neg.f64 (*.f64 t #s(literal 1 binary64))) (*.f64 y (neg.f64 x))) |
(pow.f64 (*.f64 y (/.f64 x t)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 y (/.f64 x t)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 y (/.f64 t x)) #s(literal -1 binary64)) |
(*.f64 t (/.f64 #s(literal 1 binary64) (*.f64 y x))) |
(*.f64 #s(literal 1 binary64) (/.f64 t (*.f64 y x))) |
(*.f64 (neg.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y (neg.f64 x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) t) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (pow.f64 (/.f64 #s(literal 1 binary64) t) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 t x)) |
(*.f64 (/.f64 t x) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 t y)) |
(+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 t t)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (+.f64 t x)))) |
(+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (+.f64 t x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 t t))) |
(+.f64 (*.f64 (*.f64 t t) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (+.f64 t x)) (*.f64 x (*.f64 x x)))) |
(+.f64 (*.f64 (*.f64 x (+.f64 t x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 t t) (*.f64 x (*.f64 x x)))) |
(fma.f64 (*.f64 t t) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (+.f64 t x)) (*.f64 x (*.f64 x x)))) |
(fma.f64 (*.f64 x (+.f64 t x)) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 t t) (*.f64 x (*.f64 x x)))) |
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 t t) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (+.f64 t x)))) |
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (+.f64 t x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 t t))) |
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (+.f64 t x)) (*.f64 (+.f64 t x) (*.f64 x (*.f64 x (+.f64 t x)))) (*.f64 (*.f64 t (*.f64 t t)) (*.f64 t (*.f64 t t))))) (fma.f64 (*.f64 x (+.f64 t x)) (-.f64 (*.f64 x (+.f64 t x)) (*.f64 t t)) (*.f64 t (*.f64 t (*.f64 t t))))) |
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))))) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (+.f64 t x)) (*.f64 (+.f64 t x) (*.f64 x (*.f64 x (+.f64 t x)))) (*.f64 (*.f64 t (*.f64 t t)) (*.f64 t (*.f64 t t)))) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x (+.f64 t x)) (-.f64 (*.f64 x (+.f64 t x)) (*.f64 t t)) (*.f64 t (*.f64 t (*.f64 t t))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))) (*.f64 x (*.f64 x x))) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (+.f64 t x)) (*.f64 (+.f64 t x) (*.f64 x (*.f64 x (+.f64 t x)))) (*.f64 (*.f64 t (*.f64 t t)) (*.f64 t (*.f64 t t)))))) (neg.f64 (fma.f64 (*.f64 x (+.f64 t x)) (-.f64 (*.f64 x (+.f64 t x)) (*.f64 t t)) (*.f64 t (*.f64 t (*.f64 t t)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))))) (neg.f64 (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x (+.f64 t x)) (*.f64 (+.f64 t x) (*.f64 x (*.f64 x (+.f64 t x)))) (*.f64 (*.f64 t (*.f64 t t)) (*.f64 t (*.f64 t t)))) (*.f64 x (*.f64 x x)))) (neg.f64 (fma.f64 (*.f64 x (+.f64 t x)) (-.f64 (*.f64 x (+.f64 t x)) (*.f64 t t)) (*.f64 t (*.f64 t (*.f64 t t)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))) (*.f64 x (*.f64 x x)))) (neg.f64 (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))))) |
(*.f64 x (*.f64 (*.f64 x x) (fma.f64 t t (*.f64 x (+.f64 t x))))) |
(*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 x x) (*.f64 x (fma.f64 t t (*.f64 x (+.f64 t x))))) |
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 t t (*.f64 x (+.f64 t x)))) |
(*.f64 (*.f64 x (fma.f64 t t (*.f64 x (+.f64 t x)))) (*.f64 x x)) |
(*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (*.f64 x x)) x) |
(*.f64 (*.f64 (*.f64 x (fma.f64 t t (*.f64 x (+.f64 t x)))) x) x) |
Compiled 61 475 to 3 224 computations (94.8% saved)
41 alts after pruning (37 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 308 | 22 | 1 330 |
| Fresh | 4 | 15 | 19 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 315 | 41 | 1 356 |
| Status | Accuracy | Program |
|---|---|---|
| 51.4% | (fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1 binary64))))) z x) | |
| ▶ | 76.2% | (fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z x) |
| 60.4% | (fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x) | |
| ✓ | 97.7% | (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) |
| 69.4% | (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) | |
| 27.3% | (fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t (/.f64 y x)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x))))) y x) | |
| ▶ | 34.8% | (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) |
| 43.2% | (fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 x (neg.f64 y))))) y x) | |
| 50.1% | (fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y)))) y x) | |
| 46.9% | (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) | |
| 48.3% | (fma.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x) | |
| 34.2% | (+.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)))) #s(approx (tanh (/ x y)) (/.f64 x y))))) | |
| 40.4% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 t x) (*.f64 (+.f64 t x) (-.f64 t x)))) y)))) | |
| 32.0% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x)))))) | |
| 41.6% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))) | |
| 37.7% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (fma.f64 (*.f64 t x) (/.f64 #s(literal 1 binary64) (*.f64 y x)) (neg.f64 (/.f64 x y))))))) | |
| ✓ | 43.0% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (fma.f64 x (/.f64 t (*.f64 x y)) (/.f64 x (neg.f64 y))))))) |
| ▶ | 46.1% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 x t))) (/.f64 x (neg.f64 y))))))) |
| 50.8% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))))) | |
| 37.7% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (-.f64 (/.f64 (*.f64 t x) (*.f64 y x)) (/.f64 x y)))))) | |
| 26.7% | (*.f64 (*.f64 (fma.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x) (-.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))))) | |
| 18.8% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (+.f64 t x))))) z x)) | |
| ▶ | 19.3% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (-.f64 (*.f64 (*.f64 t (*.f64 t t)) (fma.f64 t t (*.f64 x (+.f64 t x)))) #s(approx (* (+ (* t t) (* x (+ t x))) (* x (* x x))) (*.f64 (*.f64 t t) (*.f64 x (*.f64 x x))))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)) |
| 26.7% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (fma.f64 t t (*.f64 x (+.f64 t x)))) x)) | |
| 46.3% | #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)) | |
| 30.3% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(approx (- (* (* t (* t t)) (+ (* t t) (* x (+ t x)))) (* (+ (* t t) (* x (+ t x))) (* x (* x x)))) (pow.f64 t #s(literal 5 binary64))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)) | |
| 11.9% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(approx (- (* (* t (* t t)) (+ (* t t) (* x (+ t x)))) (* (+ (* t t) (* x (+ t x))) (* x (* x x)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 t (/.f64 t x) t) (neg.f64 x))) (neg.f64 (pow.f64 x #s(literal 5 binary64))))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)) | |
| 22.2% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(approx (- (* (* t (* t t)) (+ (* t t) (* x (+ t x)))) (* (+ (* t t) (* x (+ t x))) (* x (* x x)))) (neg.f64 (pow.f64 x #s(literal 5 binary64)))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)) | |
| 46.3% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 t x) (*.f64 (+.f64 t x) (-.f64 t x)))) x)) | |
| ✓ | 60.8% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)) |
| 22.7% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (/ (- (* (* t (* t t)) (+ (* t t) (* x (+ t x)))) (* (+ (* t t) (* x (+ t x))) (* x (* x x)))) (* (+ (* t t) (* x (+ t x))) (+ (* t t) (* x (+ t x))))) (fma.f64 t (-.f64 #s(literal 1 binary64) (*.f64 t (+.f64 (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 x x)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 3 binary64) x)))) (neg.f64 x))) x)) | |
| 27.8% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (/ (- (* (* t (* t t)) (+ (* t t) (* x (+ t x)))) (* (+ (* t t) (* x (+ t x))) (* x (* x x)))) (* (+ (* t t) (* x (+ t x))) (+ (* t t) (* x (+ t x))))) (*.f64 x (-.f64 (neg.f64 (fma.f64 t (/.f64 t (*.f64 x x)) (/.f64 t x))) (+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 t x) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 t t) (*.f64 x x)) (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 t t)) (*.f64 x x))))))) x)) | |
| 37.7% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (/ (- (* (* t (* t t)) (+ (* t t) (* x (+ t x)))) (* (+ (* t t) (* x (+ t x))) (* x (* x x)))) (* (+ (* t t) (* x (+ t x))) (+ (* t t) (* x (+ t x))))) (neg.f64 (fma.f64 t (/.f64 (+.f64 (-.f64 x (/.f64 (neg.f64 (fma.f64 x x (fma.f64 (*.f64 x #s(literal -2 binary64)) (+.f64 x (*.f64 x #s(literal -2 binary64))) (*.f64 #s(literal -3 binary64) (*.f64 x x))))) t)) (*.f64 x #s(literal -2 binary64))) (neg.f64 t)) (neg.f64 t)))) x)) | |
| 32.6% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (*.f64 (fma.f64 z (-.f64 t x) x) (-.f64 (*.f64 z (-.f64 t x)) x)) (-.f64 (*.f64 z (-.f64 t x)) x))) | |
| 20.4% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (/ (- (* (* t (* t t)) (+ (* t t) (* x (+ t x)))) (* (+ (* t t) (* x (+ t x))) (* x (* x x)))) (* (+ (* t t) (* x (+ t x))) (+ (* t t) (* x (+ t x)))))) x) (fma.f64 x (-.f64 #s(literal 1 binary64) z) (*.f64 t (+.f64 (neg.f64 z) (fma.f64 t (-.f64 (/.f64 z (neg.f64 x)) (fma.f64 z (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 x x)) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 #s(literal 2 binary64) z) x))) (*.f64 #s(literal 2 binary64) z))))))) | |
| 16.4% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (/ (- (* (* t (* t t)) (+ (* t t) (* x (+ t x)))) (* (+ (* t t) (* x (+ t x))) (* x (* x x)))) (* (+ (* t t) (* x (+ t x))) (+ (* t t) (* x (+ t x)))))) x) (fma.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x (-.f64 (/.f64 z t) (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 z (*.f64 #s(literal 2 binary64) z)) t) (/.f64 (*.f64 z (*.f64 #s(literal 3 binary64) (*.f64 t t))) (*.f64 t (*.f64 t t))))) z) (*.f64 z #s(literal -2 binary64)))) (*.f64 t z)))) | |
| 50.2% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (/ (- (* (* t (* t t)) (+ (* t t) (* x (+ t x)))) (* (+ (* t t) (* x (+ t x))) (* x (* x x)))) (* (+ (* t t) (* x (+ t x))) (+ (* t t) (* x (+ t x)))))) x) (-.f64 x (*.f64 x z)))) | |
| 50.1% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (/ (- (* (* t (* t t)) (+ (* t t) (* x (+ t x)))) (* (+ (* t t) (* x (+ t x))) (* x (* x x)))) (* (+ (* t t) (* x (+ t x))) (+ (* t t) (* x (+ t x)))))) x) (*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 t (/.f64 z x) z))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 t z)) x))))) | |
| 57.3% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (fma.f64 x (fma.f64 z (/.f64 t x) (neg.f64 z)) x))) | |
| ▶ | 30.0% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))) |
| ✓ | 19.9% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) |
Compiled 2 051 to 992 computations (51.6% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 (*.f64 (*.f64 t (*.f64 t t)) (fma.f64 t t (*.f64 x (+.f64 t x)))) #s(approx (* (+ (* t t) (* x (+ t x))) (* x (* x x))) (*.f64 (*.f64 t t) (*.f64 x (*.f64 x x))))) | |
| cost-diff | 0 | (fma.f64 z (/.f64 (-.f64 (*.f64 (*.f64 t (*.f64 t t)) (fma.f64 t t (*.f64 x (+.f64 t x)))) #s(approx (* (+ (* t t) (* x (+ t x))) (* x (* x x))) (*.f64 (*.f64 t t) (*.f64 x (*.f64 x x))))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 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 (*.f64 t (*.f64 t t)) (fma.f64 t t (*.f64 x (+.f64 t x)))) #s(approx (* (+ (* t t) (* x (+ t x))) (* x (* x x))) (*.f64 (*.f64 t t) (*.f64 x (*.f64 x x))))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)) | |
| cost-diff | 832 | (/.f64 (-.f64 (*.f64 (*.f64 t (*.f64 t t)) (fma.f64 t t (*.f64 x (+.f64 t x)))) #s(approx (* (+ (* t t) (* x (+ t x))) (* x (* x x))) (*.f64 (*.f64 t t) (*.f64 x (*.f64 x x))))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (+.f64 t x))))) | |
| cost-diff | 0 | (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 x t))) (/.f64 x (neg.f64 y)))))) | |
| cost-diff | 128 | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 x t))) (/.f64 x (neg.f64 y))))))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 x t))) | |
| cost-diff | 1344 | (fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 x t))) (/.f64 x (neg.f64 y))) | |
| cost-diff | 0 | #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x)))) | |
| cost-diff | 0 | (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x))))) | |
| cost-diff | 0 | (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) | |
| cost-diff | 1024 | (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.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 | (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z x) |
| 11 232× | lower-fma.f32 |
| 11 220× | lower-fma.f64 |
| 4 190× | lower-*.f32 |
| 4 160× | lower-*.f64 |
| 3 670× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 711 |
| 0 | 108 | 675 |
| 1 | 246 | 667 |
| 2 | 637 | 616 |
| 3 | 1861 | 574 |
| 4 | 5961 | 574 |
| 0 | 8291 | 569 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z x) |
(fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) |
(tanh.f64 (/.f64 t y)) |
(/.f64 t y) |
t |
y |
#s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)) |
(neg.f64 x) |
x |
z |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* 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 |
(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 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x))))) |
z |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x)))) |
(/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x))) |
(*.f64 (+.f64 t x) (-.f64 t x)) |
(+.f64 t x) |
t |
x |
(-.f64 t x) |
(*.f64 y (+.f64 t x)) |
y |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 x t))) (/.f64 x (neg.f64 y))))))) |
x |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 x t))) (/.f64 x (neg.f64 y)))))) |
(*.f64 y z) |
y |
z |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 x t))) (/.f64 x (neg.f64 y))))) |
#s(approx (/ (- t x) y) (fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 x t))) (/.f64 x (neg.f64 y)))) |
(fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 x t))) (/.f64 x (neg.f64 y))) |
(/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 x t))) |
#s(literal 1 binary64) |
(*.f64 y (/.f64 x t)) |
(/.f64 x t) |
t |
(/.f64 x (neg.f64 y)) |
(neg.f64 y) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (-.f64 (*.f64 (*.f64 t (*.f64 t t)) (fma.f64 t t (*.f64 x (+.f64 t x)))) #s(approx (* (+ (* t t) (* x (+ t x))) (* x (* x x))) (*.f64 (*.f64 t t) (*.f64 x (*.f64 x x))))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)) |
(fma.f64 z (/.f64 (-.f64 (*.f64 (*.f64 t (*.f64 t t)) (fma.f64 t t (*.f64 x (+.f64 t x)))) #s(approx (* (+ (* t t) (* x (+ t x))) (* x (* x x))) (*.f64 (*.f64 t t) (*.f64 x (*.f64 x x))))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (+.f64 t x))))) x) |
z |
(/.f64 (-.f64 (*.f64 (*.f64 t (*.f64 t t)) (fma.f64 t t (*.f64 x (+.f64 t x)))) #s(approx (* (+ (* t t) (* x (+ t x))) (* x (* x x))) (*.f64 (*.f64 t t) (*.f64 x (*.f64 x x))))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (+.f64 t x))))) |
(-.f64 (*.f64 (*.f64 t (*.f64 t t)) (fma.f64 t t (*.f64 x (+.f64 t x)))) #s(approx (* (+ (* t t) (* x (+ t x))) (* x (* x x))) (*.f64 (*.f64 t t) (*.f64 x (*.f64 x x))))) |
(*.f64 (*.f64 t (*.f64 t t)) (fma.f64 t t (*.f64 x (+.f64 t x)))) |
(*.f64 t (*.f64 t t)) |
t |
(*.f64 t t) |
(fma.f64 t t (*.f64 x (+.f64 t x))) |
(*.f64 x (+.f64 t x)) |
x |
(+.f64 t x) |
#s(approx (* (+ (* t t) (* x (+ t x))) (* x (* x x))) (*.f64 (*.f64 t t) (*.f64 x (*.f64 x x)))) |
(*.f64 (*.f64 t t) (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 x x)) |
(*.f64 x x) |
(*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (+.f64 t x)))) |
| Outputs |
|---|
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z x) |
(fma.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z x) |
(fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) |
(fma.f64 y (tanh.f64 (/.f64 t y)) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) |
(tanh.f64 (/.f64 t y)) |
(/.f64 t y) |
t |
y |
#s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)) |
(neg.f64 x) |
x |
z |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* 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 |
(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) |
(fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 y z) x) |
(*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t 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 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x)))) |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) |
(/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x))) |
(/.f64 (-.f64 t x) y) |
(*.f64 (+.f64 t x) (-.f64 t x)) |
(*.f64 (-.f64 t x) (+.f64 t x)) |
(+.f64 t x) |
t |
x |
(-.f64 t x) |
(*.f64 y (+.f64 t x)) |
y |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 x t))) (/.f64 x (neg.f64 y))))))) |
(fma.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (-.f64 t x) y))) x) |
x |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 x t))) (/.f64 x (neg.f64 y)))))) |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (-.f64 t x) y)))) |
(*.f64 y z) |
y |
z |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 x t))) (/.f64 x (neg.f64 y))))) |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (-.f64 t x) y))) |
#s(approx (/ (- t x) y) (fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 x t))) (/.f64 x (neg.f64 y)))) |
#s(approx (/ (- t x) y) (/.f64 (-.f64 t x) y)) |
(fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 x t))) (/.f64 x (neg.f64 y))) |
(/.f64 (-.f64 t x) y) |
(/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 x t))) |
(/.f64 t (*.f64 y x)) |
#s(literal 1 binary64) |
(*.f64 y (/.f64 x t)) |
(/.f64 (*.f64 y x) t) |
(/.f64 x t) |
t |
(/.f64 x (neg.f64 y)) |
(neg.f64 y) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (-.f64 (*.f64 (*.f64 t (*.f64 t t)) (fma.f64 t t (*.f64 x (+.f64 t x)))) #s(approx (* (+ (* t t) (* x (+ t x))) (* x (* x x))) (*.f64 (*.f64 t t) (*.f64 x (*.f64 x x))))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 (*.f64 t (*.f64 t t)) (/.f64 #s(approx (* (+ (* t t) (* x (+ t x))) (* x (* x x))) (*.f64 t (*.f64 t (*.f64 x (*.f64 x x))))) (fma.f64 t (+.f64 t x) (*.f64 x x)))) (/.f64 z (fma.f64 t (+.f64 t x) (*.f64 x x))) x)) |
(fma.f64 z (/.f64 (-.f64 (*.f64 (*.f64 t (*.f64 t t)) (fma.f64 t t (*.f64 x (+.f64 t x)))) #s(approx (* (+ (* t t) (* x (+ t x))) (* x (* x x))) (*.f64 (*.f64 t t) (*.f64 x (*.f64 x x))))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (+.f64 t x))))) x) |
(fma.f64 (-.f64 (*.f64 t (*.f64 t t)) (/.f64 #s(approx (* (+ (* t t) (* x (+ t x))) (* x (* x x))) (*.f64 t (*.f64 t (*.f64 x (*.f64 x x))))) (fma.f64 t (+.f64 t x) (*.f64 x x)))) (/.f64 z (fma.f64 t (+.f64 t x) (*.f64 x x))) x) |
z |
(/.f64 (-.f64 (*.f64 (*.f64 t (*.f64 t t)) (fma.f64 t t (*.f64 x (+.f64 t x)))) #s(approx (* (+ (* t t) (* x (+ t x))) (* x (* x x))) (*.f64 (*.f64 t t) (*.f64 x (*.f64 x x))))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (+.f64 t x))))) |
(/.f64 (-.f64 (*.f64 t (*.f64 t t)) (/.f64 #s(approx (* (+ (* t t) (* x (+ t x))) (* x (* x x))) (*.f64 t (*.f64 t (*.f64 x (*.f64 x x))))) (fma.f64 t (+.f64 t x) (*.f64 x x)))) (fma.f64 t (+.f64 t x) (*.f64 x x))) |
(-.f64 (*.f64 (*.f64 t (*.f64 t t)) (fma.f64 t t (*.f64 x (+.f64 t x)))) #s(approx (* (+ (* t t) (* x (+ t x))) (* x (* x x))) (*.f64 (*.f64 t t) (*.f64 x (*.f64 x x))))) |
(-.f64 (*.f64 t (*.f64 (*.f64 t t) (fma.f64 t (+.f64 t x) (*.f64 x x)))) #s(approx (* (+ (* t t) (* x (+ t x))) (* x (* x x))) (*.f64 t (*.f64 t (*.f64 x (*.f64 x x)))))) |
(*.f64 (*.f64 t (*.f64 t t)) (fma.f64 t t (*.f64 x (+.f64 t x)))) |
(*.f64 t (*.f64 (*.f64 t t) (fma.f64 t (+.f64 t x) (*.f64 x x)))) |
(*.f64 t (*.f64 t t)) |
t |
(*.f64 t t) |
(fma.f64 t t (*.f64 x (+.f64 t x))) |
(fma.f64 t (+.f64 t x) (*.f64 x x)) |
(*.f64 x (+.f64 t x)) |
x |
(+.f64 t x) |
#s(approx (* (+ (* t t) (* x (+ t x))) (* x (* x x))) (*.f64 (*.f64 t t) (*.f64 x (*.f64 x x)))) |
#s(approx (* (+ (* t t) (* x (+ t x))) (* x (* x x))) (*.f64 t (*.f64 t (*.f64 x (*.f64 x x))))) |
(*.f64 (*.f64 t t) (*.f64 x (*.f64 x x))) |
(*.f64 t (*.f64 t (*.f64 x (*.f64 x x)))) |
(*.f64 x (*.f64 x x)) |
(*.f64 x x) |
(*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (+.f64 t x)))) |
(*.f64 (fma.f64 t (+.f64 t x) (*.f64 x x)) (fma.f64 t (+.f64 t x) (*.f64 x x))) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 13.091772902580654 | #s(approx (* (+ (* t t) (* x (+ t x))) (* x (* x x))) (*.f64 (*.f64 t t) (*.f64 x (*.f64 x x)))) | |
| accuracy | 15.09786944860229 | (*.f64 (*.f64 t t) (*.f64 x (*.f64 x x))) | |
| accuracy | 25.077516048754152 | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (-.f64 (*.f64 (*.f64 t (*.f64 t t)) (fma.f64 t t (*.f64 x (+.f64 t x)))) #s(approx (* (+ (* t t) (* x (+ t x))) (* x (* x x))) (*.f64 (*.f64 t t) (*.f64 x (*.f64 x x))))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)) | |
| accuracy | 47.48634399409855 | (/.f64 (-.f64 (*.f64 (*.f64 t (*.f64 t t)) (fma.f64 t t (*.f64 x (+.f64 t x)))) #s(approx (* (+ (* t t) (* x (+ t x))) (* x (* x x))) (*.f64 (*.f64 t t) (*.f64 x (*.f64 x x))))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (+.f64 t x))))) | |
| accuracy | 4.411103932376848 | (*.f64 y (/.f64 x t)) | |
| accuracy | 5.674506530198302 | (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 x t))) (/.f64 x (neg.f64 y)))))) | |
| accuracy | 6.1313270515722165 | (fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 x t))) (/.f64 x (neg.f64 y))) | |
| accuracy | 37.691843106639304 | #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 x t))) (/.f64 x (neg.f64 y))))) | |
| accuracy | 0.9043543148915916 | (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x))))) | |
| accuracy | 1.0176589312625435 | (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) | |
| accuracy | 20.681136111661488 | (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x))) | |
| accuracy | 37.691843106639304 | #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x)))) | |
| accuracy | 0 | (-.f64 t x) | |
| accuracy | 0.01171875 | (*.f64 z (-.f64 t x)) | |
| accuracy | 20.31366833045855 | #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x))) | |
| accuracy | 25.077516048754152 | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))) | |
| accuracy | 0.00390625 | (tanh.f64 (/.f64 t y)) | |
| accuracy | 0.01171875 | (fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z x) | |
| accuracy | 1.8574422994979312 | (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) | |
| accuracy | 27.40837949420596 | #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)) |
| 103.0ms | 215× | 0 | valid |
| 79.0ms | 39× | 2 | valid |
| 1.0ms | 1× | 3 | valid |
| 1.0ms | 1× | 1 | valid |
Compiled 488 to 54 computations (88.9% saved)
ival-mult: 94.0ms (61.9% of total)ival-div: 16.0ms (10.5% of total)ival-add: 16.0ms (10.5% of total)adjust: 10.0ms (6.6% of total)ival-neg: 8.0ms (5.3% of total)ival-sub: 4.0ms (2.6% of total)ival-tanh: 4.0ms (2.6% 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 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z x)> |
#<alt (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)))> |
#<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 y (+.f64 t x)))> |
#<alt (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)> |
#<alt (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x)))))> |
#<alt #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x))))> |
#<alt (fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 x t))) (/.f64 x (neg.f64 y)))> |
#<alt (/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 x t)))> |
#<alt (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 x t))) (/.f64 x (neg.f64 y)))))))> |
#<alt (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 x t))) (/.f64 x (neg.f64 y))))))> |
#<alt (/.f64 (-.f64 (*.f64 (*.f64 t (*.f64 t t)) (fma.f64 t t (*.f64 x (+.f64 t x)))) #s(approx (* (+ (* t t) (* x (+ t x))) (* x (* x x))) (*.f64 (*.f64 t t) (*.f64 x (*.f64 x x))))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (+.f64 t x)))))> |
#<alt #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (-.f64 (*.f64 (*.f64 t (*.f64 t t)) (fma.f64 t t (*.f64 x (+.f64 t x)))) #s(approx (* (+ (* t t) (* x (+ t x))) (* x (* x x))) (*.f64 (*.f64 t t) (*.f64 x (*.f64 x x))))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (+.f64 t x))))) x))> |
#<alt (fma.f64 z (/.f64 (-.f64 (*.f64 (*.f64 t (*.f64 t t)) (fma.f64 t t (*.f64 x (+.f64 t x)))) #s(approx (* (+ (* t t) (* x (+ t x))) (* x (* x x))) (*.f64 (*.f64 t t) (*.f64 x (*.f64 x x))))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)> |
#<alt (-.f64 (*.f64 (*.f64 t (*.f64 t t)) (fma.f64 t t (*.f64 x (+.f64 t x)))) #s(approx (* (+ (* t t) (* x (+ t x))) (* x (* x x))) (*.f64 (*.f64 t t) (*.f64 x (*.f64 x x)))))> |
#<alt #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))> |
#<alt #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 x t))) (/.f64 x (neg.f64 y)))))> |
#<alt (*.f64 y (/.f64 x t))> |
#<alt (*.f64 (*.f64 t t) (*.f64 x (*.f64 x x)))> |
#<alt #s(approx (* (+ (* t t) (* x (+ t x))) (* x (* x x))) (*.f64 (*.f64 t t) (*.f64 x (*.f64 x x))))> |
| 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 (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))> |
#<alt (+ t (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))> |
#<alt (+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (* t (+ 1 (* -1/3 (/ (pow t 2) (pow y 2))))))> |
#<alt (+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (* t (+ 1 (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 4))) (* 1/3 (/ 1 (pow y 2))))))))> |
#<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 (/ t y)> |
#<alt (/ t y)> |
#<alt (/ t y)> |
#<alt (/ t y)> |
#<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 (* -1 (* x z)))> |
#<alt (+ x (+ (* -1 (* x z)) (* t z)))> |
#<alt (+ x (+ (* -1 (* x z)) (* t z)))> |
#<alt (+ x (+ (* -1 (* x z)) (* t z)))> |
#<alt (* -1 (* x z))> |
#<alt (+ (* -1 (* x z)) (* t z))> |
#<alt (+ (* -1 (* x z)) (* t z))> |
#<alt (+ (* -1 (* x z)) (* t z))> |
#<alt (* -1 x)> |
#<alt (- t x)> |
#<alt (- t x)> |
#<alt (- t x)> |
#<alt (* -1 (/ x y))> |
#<alt (+ (* -1 (/ x y)) (/ t y))> |
#<alt (+ (* -1 (/ x y)) (/ t y))> |
#<alt (+ (* -1 (/ x y)) (/ t y))> |
#<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 (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))> |
#<alt (+ (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (/ (* t z) y))> |
#<alt (+ (* t (+ (* -1/3 (/ (* (pow t 2) z) (pow y 3))) (/ z y))) (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))> |
#<alt (+ (* t (+ (* (pow t 2) (+ (* -1/3 (/ z (pow y 3))) (* 2/15 (/ (* (pow t 2) z) (pow y 5))))) (/ z y))) (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))> |
#<alt (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))> |
#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y)) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))> |
#<alt (- (+ (* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))> |
#<alt (- (+ (* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))> |
#<alt (* -1 (/ x y))> |
#<alt (+ (* -1 (/ x y)) (/ t y))> |
#<alt (+ (* -1 (/ x y)) (/ t y))> |
#<alt (+ (* -1 (/ x y)) (/ t y))> |
#<alt (/ t (* x y))> |
#<alt (/ t (* x y))> |
#<alt (/ t (* x y))> |
#<alt (/ t (* x y))> |
#<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 (* 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 (* -1 x)> |
#<alt (+ t (* -1 x))> |
#<alt (+ (* -1 x) (* t (+ 1 (* -1 (* t (+ (* -1 (/ (+ (* 2 (pow x 2)) (pow x 2)) (pow x 3))) (* 3 (/ 1 x))))))))> |
#<alt (+ (* -1 x) (* t (+ 1 (* t (- (* 2 (/ (* t (+ (* -1 (/ (+ (* 2 (pow x 2)) (pow x 2)) (pow x 3))) (* 3 (/ 1 x)))) x)) (+ (* -1 (/ (+ (* 2 (pow x 2)) (pow x 2)) (pow x 3))) (* 3 (/ 1 x))))))))> |
#<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 (* -1 (* x z)))> |
#<alt (+ x (+ (* -1 (* x z)) (* t (- (* -1 z) (* -2 z)))))> |
#<alt (+ x (+ (* -1 (* x z)) (* t (- (+ (* -1 z) (* t (- (* -1 (/ z x)) (+ (* -1 (/ (* z (+ (* 2 (pow x 2)) (pow x 2))) (pow x 3))) (* 2 (/ (- (* -1 z) (* -2 z)) x)))))) (* -2 z)))))> |
#<alt (+ x (+ (* -1 (* x z)) (* t (- (+ (* -1 z) (* t (- (+ (* -1 (/ z x)) (* t (- (/ z (pow x 2)) (+ (* -2 (/ z (pow x 2))) (+ (* 2 (/ (- (* -1 (/ z x)) (+ (* -1 (/ (* z (+ (* 2 (pow x 2)) (pow x 2))) (pow x 3))) (* 2 (/ (- (* -1 z) (* -2 z)) x)))) x)) (/ (* (+ (* 2 (pow x 2)) (pow x 2)) (- (* -1 z) (* -2 z))) (pow x 4))))))) (+ (* -1 (/ (* z (+ (* 2 (pow x 2)) (pow x 2))) (pow x 3))) (* 2 (/ (- (* -1 z) (* -2 z)) x)))))) (* -2 z)))))> |
#<alt (* -1 (pow x 5))> |
#<alt (- (* -1 (* t (pow x 4))) (pow x 5))> |
#<alt (- (* t (- (* -1 (* t (pow x 3))) (pow x 4))) (pow x 5))> |
#<alt (- (* t (- (* t (- (* t (pow x 2)) (pow x 3))) (pow x 4))) (pow x 5))> |
#<alt (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))> |
#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y)) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))> |
#<alt (- (+ (* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))> |
#<alt (- (+ (* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))> |
#<alt (/ (* x y) t)> |
#<alt (/ (* x y) t)> |
#<alt (/ (* x y) t)> |
#<alt (/ (* x y) t)> |
#<alt (* (pow t 2) (pow x 3))> |
#<alt (* (pow t 2) (pow x 3))> |
#<alt (* (pow t 2) (pow x 3))> |
#<alt (* (pow t 2) (pow x 3))> |
#<alt (pow x 5)> |
#<alt (+ (* t (pow x 4)) (pow x 5))> |
#<alt (+ (* t (+ (* t (pow x 3)) (pow x 4))) (pow x 5))> |
#<alt (+ (* t (+ (* t (pow x 3)) (pow x 4))) (pow x 5))> |
#<alt (+ x (* 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 (+ x (* 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 (+ x (* 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 (+ x (* 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 (+ (* -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 (+ (* -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 (+ (* -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 (+ (* -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))))))> |
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#<alt (/ t y)> |
#<alt (/ t y)> |
#<alt (/ t y)> |
#<alt (/ t 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 (* t z)> |
#<alt (* t (+ z (+ (* -1 (/ (* x z) t)) (/ x t))))> |
#<alt (* t (+ z (+ (* -1 (/ (* x z) t)) (/ x t))))> |
#<alt (* t (+ z (+ (* -1 (/ (* x z) t)) (/ x t))))> |
#<alt (* t z)> |
#<alt (* t (+ z (* -1 (/ (* x z) t))))> |
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#<alt (* t (+ z (* -1 (/ (* x z) t))))> |
#<alt t> |
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#<alt (/ t y)> |
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#<alt (* t (+ (* -1 (/ x (* t y))) (/ 1 y)))> |
#<alt (* t (+ (* -1 (/ x (* t y))) (/ 1 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 (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 (/ x (* t y))) (/ 1 y)))> |
#<alt (* t (+ (* -1 (/ x (* t y))) (/ 1 y)))> |
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#<alt (/ t (* 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 t> |
#<alt (* t (- (+ 1 (/ x t)) (* 2 (/ x t))))> |
#<alt (* t (- (+ 1 (+ (* -1 (/ (+ (* 2 (* x (- x (* 2 x)))) (* 2 (pow x 2))) (pow t 2))) (/ x t))) (* 2 (/ x t))))> |
#<alt (* t (- (+ 1 (+ (* -1 (/ (pow x 3) (pow t 3))) (/ x t))) (+ (* -2 (/ (* x (+ (* 2 (* x (- x (* 2 x)))) (* 2 (pow x 2)))) (pow t 3))) (+ (* 2 (/ x t)) (+ (* 2 (/ (* x (- x (* 2 x))) (pow t 2))) (+ (* 2 (/ (pow x 2) (pow t 2))) (+ (* 2 (/ (pow x 3) (pow t 3))) (/ (* (+ (* 2 (pow x 2)) (pow x 2)) (- x (* 2 x))) (pow t 3)))))))))> |
#<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 (* t z)> |
#<alt (* t (- (+ z (+ (/ x t) (/ (* x z) t))) (* 2 (/ (* x z) t))))> |
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#<alt (* t (- (+ z (+ (* -1 (/ (* (pow x 3) z) (pow t 3))) (+ (/ x t) (+ (/ (* x z) t) (/ (* (pow x 2) z) (pow t 2)))))) (+ (* 2 (/ (* x z) t)) (+ (* 2 (/ (* x (- (* x z) (* 2 (* x z)))) (pow t 2))) (+ (* 2 (/ (* x (- (* (pow x 2) z) (+ (* 2 (* x (- (* x z) (* 2 (* x z))))) (* z (+ (* 2 (pow x 2)) (pow x 2)))))) (pow t 3))) (+ (* 2 (/ (* (pow x 3) z) (pow t 3))) (+ (/ (* z (+ (* 2 (pow x 2)) (pow x 2))) (pow t 2)) (/ (* (+ (* 2 (pow x 2)) (pow x 2)) (- (* x z) (* 2 (* x z)))) (pow t 3)))))))))> |
#<alt (pow t 5)> |
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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 (/ (* x y) t)> |
#<alt (/ (* x y) t)> |
#<alt (/ (* x y) t)> |
#<alt (/ (* x y) t)> |
#<alt (* (pow t 2) (pow x 3))> |
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#<alt (+ x (* 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 (+ x (* 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 (+ x (* 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 (+ (* -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 (+ (* -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 (+ (* -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 (+ (* -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 (/ (- (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 y)> |
#<alt (/ t y)> |
#<alt (/ t 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 (* t z)> |
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#<alt (* t z)> |
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#<alt (* -1 (* t (+ (* -1 z) (/ (* x z) t))))> |
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#<alt t> |
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#<alt (/ t y)> |
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#<alt (* -1 (* t (- (/ x (* t y)) (/ 1 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 (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 (* -1 (* t (- (/ x (* t y)) (/ 1 y))))> |
#<alt (* -1 (* t (- (/ x (* t y)) (/ 1 y))))> |
#<alt (* -1 (* t (- (/ x (* t y)) (/ 1 y))))> |
#<alt (/ t (* x y))> |
#<alt (/ t (* x y))> |
#<alt (/ t (* x y))> |
#<alt (/ t (* 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 t> |
#<alt (* -1 (* t (- (* -1 (/ (- x (* 2 x)) t)) 1)))> |
#<alt (* -1 (* t (- (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (pow x 2)) (+ (* -2 (* x (- x (* 2 x)))) (* -1 (+ (* 2 (pow x 2)) (pow x 2))))) t))) (* 2 x)) t)) 1)))> |
#<alt (* -1 (* t (- (* -1 (/ (- (+ x (* -1 (/ (- (+ (* -1 (/ (- (* -1 (pow x 3)) (+ (* -2 (* x (- (* -1 (pow x 2)) (+ (* -2 (* x (- x (* 2 x)))) (* -1 (+ (* 2 (pow x 2)) (pow x 2))))))) (+ (* 2 (pow x 3)) (* (+ (* 2 (pow x 2)) (pow x 2)) (- x (* 2 x)))))) t)) (* -1 (pow x 2))) (+ (* -2 (* x (- x (* 2 x)))) (* -1 (+ (* 2 (pow x 2)) (pow x 2))))) t))) (* 2 x)) t)) 1)))> |
#<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 (* t z)> |
#<alt (* -1 (* t (+ (* -1 z) (* -1 (/ (- (+ x (* x z)) (* 2 (* x z))) t)))))> |
#<alt (* -1 (* t (+ (* -1 z) (* -1 (/ (- (+ x (+ (* -1 (/ (- (* -1 (* (pow x 2) z)) (+ (* -2 (* x (- (* x z) (* 2 (* x z))))) (* -1 (* z (+ (* 2 (pow x 2)) (pow x 2)))))) t)) (* x z))) (* 2 (* x z))) t)))))> |
#<alt (* -1 (* t (+ (* -1 z) (* -1 (/ (- (+ x (+ (* -1 (/ (- (+ (* -1 (* (pow x 2) z)) (* -1 (/ (- (* -1 (* (pow x 3) z)) (+ (* -2 (* x (- (* -1 (* (pow x 2) z)) (+ (* -2 (* x (- (* x z) (* 2 (* x z))))) (* -1 (* z (+ (* 2 (pow x 2)) (pow x 2)))))))) (+ (* 2 (* (pow x 3) z)) (* (+ (* 2 (pow x 2)) (pow x 2)) (- (* x z) (* 2 (* x z))))))) t))) (+ (* -2 (* x (- (* x z) (* 2 (* x z))))) (* -1 (* z (+ (* 2 (pow x 2)) (pow x 2)))))) t)) (* x z))) (* 2 (* x z))) t)))))> |
#<alt (pow t 5)> |
#<alt (* -1 (* (pow t 5) (- (* -1 (/ x t)) 1)))> |
#<alt (* -1 (* (pow t 5) (- (* -1 (/ (+ x (/ (pow x 2) t)) t)) 1)))> |
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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 (/ (* x y) t)> |
#<alt (/ (* x y) t)> |
#<alt (/ (* x y) t)> |
#<alt (/ (* x y) t)> |
#<alt (* (pow t 2) (pow x 3))> |
#<alt (* (pow t 2) (pow x 3))> |
#<alt (* (pow t 2) (pow x 3))> |
#<alt (* (pow t 2) (pow x 3))> |
#<alt (* (pow t 2) (pow x 3))> |
#<alt (* (pow t 2) (+ (/ (pow x 4) t) (pow x 3)))> |
#<alt (* (pow t 2) (+ (* -1 (/ (+ (* -1 (/ (pow x 5) t)) (* -1 (pow x 4))) t)) (pow x 3)))> |
#<alt (* (pow t 2) (+ (* -1 (/ (+ (* -1 (/ (pow x 5) t)) (* -1 (pow x 4))) t)) (pow x 3)))> |
#<alt x> |
#<alt (+ x (* 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 (+ x (* 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 (+ x (* 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 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> |
#<alt (+ x (* z (- t x)))> |
#<alt (+ x (* z (- t x)))> |
#<alt (+ x (* z (- t x)))> |
#<alt (* z (- t x))> |
#<alt (* z (- t x))> |
#<alt (* z (- t x))> |
#<alt (* z (- t x))> |
#<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 (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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> |
#<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 (* z (- (/ (pow t 3) (+ (* x (+ t x)) (pow t 2))) (/ (pow x 3) (+ (* x (+ t x)) (pow t 2))))))> |
#<alt (+ x (* z (- (/ (pow t 3) (+ (* x (+ t x)) (pow t 2))) (/ (pow x 3) (+ (* x (+ t x)) (pow t 2))))))> |
#<alt (+ x (* z (- (/ (pow t 3) (+ (* x (+ t x)) (pow t 2))) (/ (pow x 3) (+ (* x (+ t x)) (pow t 2))))))> |
#<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 (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 (* z (- t x))> |
#<alt (* z (- (+ t (/ x z)) x))> |
#<alt (* z (- (+ t (/ x z)) x))> |
#<alt (* z (- (+ t (/ x z)) x))> |
#<alt (* z (- t x))> |
#<alt (* z (- t x))> |
#<alt (* z (- t x))> |
#<alt (* z (- t 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 (* 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 (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 (* -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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#<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 (* -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)))))> |
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#<alt x> |
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#<alt (/ (+ t (* -1 x)) y)> |
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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)))> |
#<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 (- z 1)))> |
#<alt (* -1 (* x (- (+ z (* -1 (/ (* t z) x))) 1)))> |
#<alt (* -1 (* x (- (+ z (* -1 (/ (* t z) x))) 1)))> |
#<alt (* -1 (* x (- (+ z (* -1 (/ (* t z) x))) 1)))> |
#<alt (* -1 (* x z))> |
#<alt (* -1 (* x (+ z (* -1 (/ (* t z) x)))))> |
#<alt (* -1 (* x (+ z (* -1 (/ (* t z) x)))))> |
#<alt (* -1 (* x (+ z (* -1 (/ (* t z) x)))))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (+ 1 (* -1 (/ t x)))))> |
#<alt (* -1 (* x (+ 1 (* -1 (/ t x)))))> |
#<alt (* -1 (* x (+ 1 (* -1 (/ t x)))))> |
#<alt (* -1 (/ x y))> |
#<alt (* -1 (* x (+ (* -1 (/ t (* x y))) (/ 1 y))))> |
#<alt (* -1 (* x (+ (* -1 (/ t (* x y))) (/ 1 y))))> |
#<alt (* -1 (* x (+ (* -1 (/ t (* x y))) (/ 1 y))))> |
#<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 (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 (/ x y))> |
#<alt (* -1 (* x (+ (* -1 (/ t (* x y))) (/ 1 y))))> |
#<alt (* -1 (* x (+ (* -1 (/ t (* x y))) (/ 1 y))))> |
#<alt (* -1 (* x (+ (* -1 (/ t (* x y))) (/ 1 y))))> |
#<alt (/ t (* x y))> |
#<alt (/ t (* x y))> |
#<alt (/ t (* x y))> |
#<alt (/ t (* x y))> |
#<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 (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 (* -1 x)> |
#<alt (* -1 (* x (+ 1 (* -1 (/ (- (* -1 t) (* -2 t)) x)))))> |
#<alt (* -1 (* x (+ 1 (* -1 (/ (- (+ (* -2 (/ (* t (- (* -1 t) (* -2 t))) x)) (+ (* -1 t) (* 2 (/ (pow t 2) x)))) (* -2 t)) x)))))> |
#<alt (* -1 (* x (+ 1 (* -1 (/ (- (+ (* -1 t) (* -1 (/ (- (* -1 (/ (- (pow t 3) (+ (* -2 (pow t 3)) (+ (* 2 (* t (+ (* -2 (* t (- (* -1 t) (* -2 t)))) (* 2 (pow t 2))))) (* (+ (* 2 (pow t 2)) (pow t 2)) (- (* -1 t) (* -2 t)))))) x)) (+ (* -2 (* t (- (* -1 t) (* -2 t)))) (* 2 (pow t 2)))) x))) (* -2 t)) 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 (* -1 (* x (- z 1)))> |
#<alt (* -1 (* x (- (+ z (* -1 (/ (- (* -1 (* t z)) (* -2 (* t z))) x))) 1)))> |
#<alt (* -1 (* x (- (+ z (* -1 (/ (- (+ (* -1 (* t z)) (* -1 (/ (- (* (pow t 2) z) (+ (* -2 (* t (- (* -1 (* t z)) (* -2 (* t z))))) (* z (+ (* 2 (pow t 2)) (pow t 2))))) x))) (* -2 (* t z))) x))) 1)))> |
#<alt (* -1 (* x (- (+ z (* -1 (/ (- (+ (* -1 (* t z)) (* -1 (/ (- (+ (* -1 (/ (- (* (pow t 3) z) (+ (* -2 (* t (- (* (pow t 2) z) (+ (* -2 (* t (- (* -1 (* t z)) (* -2 (* t z))))) (* z (+ (* 2 (pow t 2)) (pow t 2))))))) (+ (* -2 (* (pow t 3) z)) (* (+ (* 2 (pow t 2)) (pow t 2)) (- (* -1 (* t z)) (* -2 (* t z))))))) x)) (* (pow t 2) z)) (+ (* -2 (* t (- (* -1 (* t z)) (* -2 (* t z))))) (* z (+ (* 2 (pow t 2)) (pow t 2))))) x))) (* -2 (* t z))) x))) 1)))> |
#<alt (* -1 (pow x 5))> |
#<alt (* -1 (* (pow x 5) (+ 1 (/ t x))))> |
#<alt (* -1 (* (pow x 5) (+ 1 (* -1 (/ (- (* -1 (/ (pow t 2) x)) t) x)))))> |
#<alt (* -1 (* (pow x 5) (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow t 3) x)) (* -1 (pow t 2))) x)) t) x)))))> |
#<alt (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))> |
#<alt (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))> |
#<alt (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))> |
#<alt (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (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 (/ (* x y) t)> |
#<alt (/ (* x y) t)> |
#<alt (/ (* x y) t)> |
#<alt (/ (* x y) t)> |
#<alt (* (pow t 2) (pow x 3))> |
#<alt (* (pow t 2) (pow x 3))> |
#<alt (* (pow t 2) (pow x 3))> |
#<alt (* (pow t 2) (pow x 3))> |
#<alt (pow x 5)> |
#<alt (* -1 (* (pow x 5) (- (* -1 (/ t x)) 1)))> |
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ t (/ (pow t 2) x)) x)) 1)))> |
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ t (/ (pow t 2) x)) x)) 1)))> |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 22.0ms | x | @ | -inf | ((+ (* (+ (* (tanh (/ t y)) y) (* (neg (tanh (/ x y))) y)) z) x) (+ (* (tanh (/ t y)) y) (* (neg (tanh (/ x y))) y)) (tanh (/ t y)) (/ t y) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* z (- t x)) x) (* z (- t x)) (- t x) (/ (* (+ t x) (- t x)) (* y (+ t x))) (+ (* (* z (- (tanh (/ t y)) (tanh (/ x y)))) y) x) (* z (- (tanh (/ t y)) (tanh (/ x y)))) (- (tanh (/ t y)) (tanh (/ x y))) (+ (* x (/ 1 (* y (/ x t)))) (/ x (neg y))) (/ 1 (* y (/ x t))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (/ (- (* (* t (* t t)) (+ (* t t) (* x (+ t x)))) (* (+ (* t t) (* x (+ t x))) (* x (* x x)))) (* (+ (* t t) (* x (+ t x))) (+ (* t t) (* x (+ t x))))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* z (/ (- (* (* t (* t t)) (+ (* t t) (* x (+ t x)))) (* (+ (* t t) (* x (+ t x))) (* x (* x x)))) (* (+ (* t t) (* x (+ t x))) (+ (* t t) (* x (+ t x)))))) x) (- (* (* t (* t t)) (+ (* t t) (* x (+ t x)))) (* (+ (* t t) (* x (+ t x))) (* x (* x x)))) (* (neg (tanh (/ x y))) y) (- (tanh (/ t y)) (tanh (/ x y))) (* y (/ x t)) (* (* t t) (* x (* x x))) (* (+ (* t t) (* x (+ t x))) (* x (* x x)))) |
| 9.0ms | t | @ | -inf | ((+ (* (+ (* (tanh (/ t y)) y) (* (neg (tanh (/ x y))) y)) z) x) (+ (* (tanh (/ t y)) y) (* (neg (tanh (/ x y))) y)) (tanh (/ t y)) (/ t y) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* z (- t x)) x) (* z (- t x)) (- t x) (/ (* (+ t x) (- t x)) (* y (+ t x))) (+ (* (* z (- (tanh (/ t y)) (tanh (/ x y)))) y) x) (* z (- (tanh (/ t y)) (tanh (/ x y)))) (- (tanh (/ t y)) (tanh (/ x y))) (+ (* x (/ 1 (* y (/ x t)))) (/ x (neg y))) (/ 1 (* y (/ x t))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (/ (- (* (* t (* t t)) (+ (* t t) (* x (+ t x)))) (* (+ (* t t) (* x (+ t x))) (* x (* x x)))) (* (+ (* t t) (* x (+ t x))) (+ (* t t) (* x (+ t x))))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* z (/ (- (* (* t (* t t)) (+ (* t t) (* x (+ t x)))) (* (+ (* t t) (* x (+ t x))) (* x (* x x)))) (* (+ (* t t) (* x (+ t x))) (+ (* t t) (* x (+ t x)))))) x) (- (* (* t (* t t)) (+ (* t t) (* x (+ t x)))) (* (+ (* t t) (* x (+ t x))) (* x (* x x)))) (* (neg (tanh (/ x y))) y) (- (tanh (/ t y)) (tanh (/ x y))) (* y (/ x t)) (* (* t t) (* x (* x x))) (* (+ (* t t) (* x (+ t x))) (* x (* x x)))) |
| 7.0ms | y | @ | 0 | ((+ (* (+ (* (tanh (/ t y)) y) (* (neg (tanh (/ x y))) y)) z) x) (+ (* (tanh (/ t y)) y) (* (neg (tanh (/ x y))) y)) (tanh (/ t y)) (/ t y) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* z (- t x)) x) (* z (- t x)) (- t x) (/ (* (+ t x) (- t x)) (* y (+ t x))) (+ (* (* z (- (tanh (/ t y)) (tanh (/ x y)))) y) x) (* z (- (tanh (/ t y)) (tanh (/ x y)))) (- (tanh (/ t y)) (tanh (/ x y))) (+ (* x (/ 1 (* y (/ x t)))) (/ x (neg y))) (/ 1 (* y (/ x t))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (/ (- (* (* t (* t t)) (+ (* t t) (* x (+ t x)))) (* (+ (* t t) (* x (+ t x))) (* x (* x x)))) (* (+ (* t t) (* x (+ t x))) (+ (* t t) (* x (+ t x))))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* z (/ (- (* (* t (* t t)) (+ (* t t) (* x (+ t x)))) (* (+ (* t t) (* x (+ t x))) (* x (* x x)))) (* (+ (* t t) (* x (+ t x))) (+ (* t t) (* x (+ t x)))))) x) (- (* (* t (* t t)) (+ (* t t) (* x (+ t x)))) (* (+ (* t t) (* x (+ t x))) (* x (* x x)))) (* (neg (tanh (/ x y))) y) (- (tanh (/ t y)) (tanh (/ x y))) (* y (/ x t)) (* (* t t) (* x (* x x))) (* (+ (* t t) (* x (+ t x))) (* x (* x x)))) |
| 5.0ms | t | @ | inf | ((+ (* (+ (* (tanh (/ t y)) y) (* (neg (tanh (/ x y))) y)) z) x) (+ (* (tanh (/ t y)) y) (* (neg (tanh (/ x y))) y)) (tanh (/ t y)) (/ t y) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* z (- t x)) x) (* z (- t x)) (- t x) (/ (* (+ t x) (- t x)) (* y (+ t x))) (+ (* (* z (- (tanh (/ t y)) (tanh (/ x y)))) y) x) (* z (- (tanh (/ t y)) (tanh (/ x y)))) (- (tanh (/ t y)) (tanh (/ x y))) (+ (* x (/ 1 (* y (/ x t)))) (/ x (neg y))) (/ 1 (* y (/ x t))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (/ (- (* (* t (* t t)) (+ (* t t) (* x (+ t x)))) (* (+ (* t t) (* x (+ t x))) (* x (* x x)))) (* (+ (* t t) (* x (+ t x))) (+ (* t t) (* x (+ t x))))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* z (/ (- (* (* t (* t t)) (+ (* t t) (* x (+ t x)))) (* (+ (* t t) (* x (+ t x))) (* x (* x x)))) (* (+ (* t t) (* x (+ t x))) (+ (* t t) (* x (+ t x)))))) x) (- (* (* t (* t t)) (+ (* t t) (* x (+ t x)))) (* (+ (* t t) (* x (+ t x))) (* x (* x x)))) (* (neg (tanh (/ x y))) y) (- (tanh (/ t y)) (tanh (/ x y))) (* y (/ x t)) (* (* t t) (* x (* x x))) (* (+ (* t t) (* x (+ t x))) (* x (* x x)))) |
| 4.0ms | x | @ | inf | ((+ (* (+ (* (tanh (/ t y)) y) (* (neg (tanh (/ x y))) y)) z) x) (+ (* (tanh (/ t y)) y) (* (neg (tanh (/ x y))) y)) (tanh (/ t y)) (/ t y) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* z (- t x)) x) (* z (- t x)) (- t x) (/ (* (+ t x) (- t x)) (* y (+ t x))) (+ (* (* z (- (tanh (/ t y)) (tanh (/ x y)))) y) x) (* z (- (tanh (/ t y)) (tanh (/ x y)))) (- (tanh (/ t y)) (tanh (/ x y))) (+ (* x (/ 1 (* y (/ x t)))) (/ x (neg y))) (/ 1 (* y (/ x t))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (/ (- (* (* t (* t t)) (+ (* t t) (* x (+ t x)))) (* (+ (* t t) (* x (+ t x))) (* x (* x x)))) (* (+ (* t t) (* x (+ t x))) (+ (* t t) (* x (+ t x))))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* z (/ (- (* (* t (* t t)) (+ (* t t) (* x (+ t x)))) (* (+ (* t t) (* x (+ t x))) (* x (* x x)))) (* (+ (* t t) (* x (+ t x))) (+ (* t t) (* x (+ t x)))))) x) (- (* (* t (* t t)) (+ (* t t) (* x (+ t x)))) (* (+ (* t t) (* x (+ t x))) (* x (* x x)))) (* (neg (tanh (/ x y))) y) (- (tanh (/ t y)) (tanh (/ x y))) (* y (/ x t)) (* (* t t) (* x (* x x))) (* (+ (* t t) (* x (+ t x))) (* x (* x x)))) |
| 1× | egg-herbie |
| 8 704× | lower-fma.f64 |
| 8 704× | lower-fma.f32 |
| 5 968× | lower-*.f64 |
| 5 968× | lower-*.f32 |
| 5 278× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1369 | 33900 |
| 1 | 4591 | 30116 |
| 0 | 9433 | 29271 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (* -1 (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(+ x (+ (* -1 (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (* t z))) |
(+ x (+ (* -1 (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))))) |
(+ x (+ (* -1 (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))))) |
(* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(+ t (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (* t (+ 1 (* -1/3 (/ (pow t 2) (pow y 2)))))) |
(+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (* t (+ 1 (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 4))) (* 1/3 (/ 1 (pow y 2)))))))) |
(/ t y) |
(* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y))) |
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t |
(* -1 (* t (- (/ x t) 1))) |
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(/ t y) |
(* -1 (* t (- (/ x (* t y)) (/ 1 y)))) |
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(/ t (* x y)) |
(/ t (* x y)) |
(/ t (* x y)) |
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(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
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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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t |
(* -1 (* t (- (* -1 (/ (- x (* 2 x)) t)) 1))) |
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(* -1 (* t (- (* -1 (/ (- (+ x (* -1 (/ (- (+ (* -1 (/ (- (* -1 (pow x 3)) (+ (* -2 (* x (- (* -1 (pow x 2)) (+ (* -2 (* x (- x (* 2 x)))) (* -1 (+ (* 2 (pow x 2)) (pow x 2))))))) (+ (* 2 (pow x 3)) (* (+ (* 2 (pow x 2)) (pow x 2)) (- x (* 2 x)))))) t)) (* -1 (pow x 2))) (+ (* -2 (* x (- x (* 2 x)))) (* -1 (+ (* 2 (pow x 2)) (pow x 2))))) t))) (* 2 x)) t)) 1))) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ 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)))))))))) |
(* t z) |
(* -1 (* t (+ (* -1 z) (* -1 (/ (- (+ x (* x z)) (* 2 (* x z))) t))))) |
(* -1 (* t (+ (* -1 z) (* -1 (/ (- (+ x (+ (* -1 (/ (- (* -1 (* (pow x 2) z)) (+ (* -2 (* x (- (* x z) (* 2 (* x z))))) (* -1 (* z (+ (* 2 (pow x 2)) (pow x 2)))))) t)) (* x z))) (* 2 (* x z))) t))))) |
(* -1 (* t (+ (* -1 z) (* -1 (/ (- (+ x (+ (* -1 (/ (- (+ (* -1 (* (pow x 2) z)) (* -1 (/ (- (* -1 (* (pow x 3) z)) (+ (* -2 (* x (- (* -1 (* (pow x 2) z)) (+ (* -2 (* x (- (* x z) (* 2 (* x z))))) (* -1 (* z (+ (* 2 (pow x 2)) (pow x 2)))))))) (+ (* 2 (* (pow x 3) z)) (* (+ (* 2 (pow x 2)) (pow x 2)) (- (* x z) (* 2 (* x z))))))) t))) (+ (* -2 (* x (- (* x z) (* 2 (* x z))))) (* -1 (* z (+ (* 2 (pow x 2)) (pow x 2)))))) t)) (* x z))) (* 2 (* x z))) t))))) |
(pow t 5) |
(* -1 (* (pow t 5) (- (* -1 (/ x t)) 1))) |
(* -1 (* (pow t 5) (- (* -1 (/ (+ x (/ (pow x 2) t)) t)) 1))) |
(* -1 (* (pow t 5) (- (* -1 (/ (+ x (* -1 (/ (+ (* -1 (pow x 2)) (/ (pow x 3) t)) t))) t)) 1))) |
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(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(/ (* x y) t) |
(/ (* x y) t) |
(/ (* x y) t) |
(/ (* x y) t) |
(* (pow t 2) (pow x 3)) |
(* (pow t 2) (pow x 3)) |
(* (pow t 2) (pow x 3)) |
(* (pow t 2) (pow x 3)) |
(* (pow t 2) (pow x 3)) |
(* (pow t 2) (+ (/ (pow x 4) t) (pow x 3))) |
(* (pow t 2) (+ (* -1 (/ (+ (* -1 (/ (pow x 5) t)) (* -1 (pow x 4))) t)) (pow x 3))) |
(* (pow t 2) (+ (* -1 (/ (+ (* -1 (/ (pow x 5) t)) (* -1 (pow x 4))) t)) (pow x 3))) |
x |
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(+ x (* z (+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))) |
(+ x (* z (+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))) |
x |
(+ 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 (* z (- t x))) |
(+ x (* z (- t x))) |
(+ x (* z (- t x))) |
(* z (- t x)) |
(* z (- t x)) |
(* z (- t x)) |
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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)))))))))) |
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x |
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x |
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x |
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(* x (+ 1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x))) |
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(/ (* x y) t) |
(/ (* x y) t) |
(/ (* x y) t) |
(/ (* x y) t) |
(* (pow t 2) (pow x 3)) |
(* (pow t 2) (pow x 3)) |
(* (pow t 2) (pow x 3)) |
(* (pow t 2) (pow x 3)) |
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(* (pow x 5) (+ 1 (+ (/ t x) (/ (pow t 2) (pow x 2))))) |
x |
(* -1 (* x (- (* -1 (/ (* z (+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* z (+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* z (+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))) x)) 1))) |
(+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) |
(+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) |
(+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) |
(+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (* y (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) |
x |
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
(* -1 (* x (- z 1))) |
(* -1 (* x (- (+ z (* -1 (/ (* t z) x))) 1))) |
(* -1 (* x (- (+ z (* -1 (/ (* t z) x))) 1))) |
(* -1 (* x (- (+ z (* -1 (/ (* t z) x))) 1))) |
(* -1 (* x z)) |
(* -1 (* x (+ z (* -1 (/ (* t z) x))))) |
(* -1 (* x (+ z (* -1 (/ (* t z) x))))) |
(* -1 (* x (+ z (* -1 (/ (* t z) x))))) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ t x))))) |
(* -1 (* x (+ 1 (* -1 (/ t x))))) |
(* -1 (* x (+ 1 (* -1 (/ t x))))) |
(* -1 (/ x y)) |
(* -1 (* x (+ (* -1 (/ t (* x y))) (/ 1 y)))) |
(* -1 (* x (+ (* -1 (/ t (* x y))) (/ 1 y)))) |
(* -1 (* x (+ (* -1 (/ t (* x y))) (/ 1 y)))) |
x |
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
(* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(* -1 (/ x y)) |
(* -1 (* x (+ (* -1 (/ t (* x y))) (/ 1 y)))) |
(* -1 (* x (+ (* -1 (/ t (* x y))) (/ 1 y)))) |
(* -1 (* x (+ (* -1 (/ t (* x y))) (/ 1 y)))) |
(/ t (* x y)) |
(/ t (* x y)) |
(/ t (* x y)) |
(/ t (* x y)) |
x |
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 t) (* -2 t)) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- (+ (* -2 (/ (* t (- (* -1 t) (* -2 t))) x)) (+ (* -1 t) (* 2 (/ (pow t 2) x)))) (* -2 t)) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- (+ (* -1 t) (* -1 (/ (- (* -1 (/ (- (pow t 3) (+ (* -2 (pow t 3)) (+ (* 2 (* t (+ (* -2 (* t (- (* -1 t) (* -2 t)))) (* 2 (pow t 2))))) (* (+ (* 2 (pow t 2)) (pow t 2)) (- (* -1 t) (* -2 t)))))) x)) (+ (* -2 (* t (- (* -1 t) (* -2 t)))) (* 2 (pow t 2)))) x))) (* -2 t)) x))))) |
x |
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
(* -1 (* x (- z 1))) |
(* -1 (* x (- (+ z (* -1 (/ (- (* -1 (* t z)) (* -2 (* t z))) x))) 1))) |
(* -1 (* x (- (+ z (* -1 (/ (- (+ (* -1 (* t z)) (* -1 (/ (- (* (pow t 2) z) (+ (* -2 (* t (- (* -1 (* t z)) (* -2 (* t z))))) (* z (+ (* 2 (pow t 2)) (pow t 2))))) x))) (* -2 (* t z))) x))) 1))) |
(* -1 (* x (- (+ z (* -1 (/ (- (+ (* -1 (* t z)) (* -1 (/ (- (+ (* -1 (/ (- (* (pow t 3) z) (+ (* -2 (* t (- (* (pow t 2) z) (+ (* -2 (* t (- (* -1 (* t z)) (* -2 (* t z))))) (* z (+ (* 2 (pow t 2)) (pow t 2))))))) (+ (* -2 (* (pow t 3) z)) (* (+ (* 2 (pow t 2)) (pow t 2)) (- (* -1 (* t z)) (* -2 (* t z))))))) x)) (* (pow t 2) z)) (+ (* -2 (* t (- (* -1 (* t z)) (* -2 (* t z))))) (* z (+ (* 2 (pow t 2)) (pow t 2))))) x))) (* -2 (* t z))) x))) 1))) |
(* -1 (pow x 5)) |
(* -1 (* (pow x 5) (+ 1 (/ t x)))) |
(* -1 (* (pow x 5) (+ 1 (* -1 (/ (- (* -1 (/ (pow t 2) x)) t) x))))) |
(* -1 (* (pow x 5) (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow t 3) x)) (* -1 (pow t 2))) x)) t) x))))) |
(* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(/ (* x y) t) |
(/ (* x y) t) |
(/ (* x y) t) |
(/ (* x y) t) |
(* (pow t 2) (pow x 3)) |
(* (pow t 2) (pow x 3)) |
(* (pow t 2) (pow x 3)) |
(* (pow t 2) (pow x 3)) |
(pow x 5) |
(* -1 (* (pow x 5) (- (* -1 (/ t x)) 1))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ t (/ (pow t 2) x)) x)) 1))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ t (/ (pow t 2) x)) x)) 1))) |
| 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 (neg.f64 x) y)))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))))) |
(+ x (+ (* -1 (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (* t z))) |
(+.f64 x (-.f64 (*.f64 z t) (/.f64 (*.f64 (*.f64 y z) (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))))) |
(+ 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))))))) |
(+.f64 x (fma.f64 (neg.f64 y) (/.f64 (*.f64 z (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))) (*.f64 t (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 z (*.f64 t t)) (*.f64 y y)) z)))) |
(+ 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))))))))) |
(+.f64 x (-.f64 (*.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)) (/.f64 (*.f64 (*.f64 y z) (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))))) |
(* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(/.f64 (*.f64 y (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))) (neg.f64 (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))))) |
(+ t (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(fma.f64 (/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))) (neg.f64 y) t) |
(+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (* t (+ 1 (* -1/3 (/ (pow t 2) (pow y 2)))))) |
(fma.f64 (/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))) (neg.f64 y) (fma.f64 t (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 t t)) (*.f64 y y)) t)) |
(+ (* -1 (/ (* y (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (* t (+ 1 (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 4))) (* 1/3 (/ 1 (pow y 2)))))))) |
(fma.f64 t (fma.f64 (*.f64 t t) (fma.f64 #s(literal 2/15 binary64) (/.f64 (*.f64 t t) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) #s(literal 1 binary64)) (/.f64 (*.f64 y (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))) (neg.f64 (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))))) |
(/ t y) |
(/.f64 t y) |
(* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 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))) |
(* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) |
(*.f64 t (fma.f64 (*.f64 t t) (fma.f64 #s(literal 2/15 binary64) (/.f64 (*.f64 t t) (pow.f64 y #s(literal 5 binary64))) (/.f64 #s(literal -1/3 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) y))) |
(* t (+ (* (pow t 2) (- (* (pow t 2) (+ (* -17/315 (/ (pow t 2) (pow y 7))) (* 2/15 (/ 1 (pow y 5))))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) |
(*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 #s(literal -17/315 binary64) (/.f64 (*.f64 t t) (pow.f64 y #s(literal 7 binary64))) (/.f64 #s(literal 2/15 binary64) (pow.f64 y #s(literal 5 binary64)))) (/.f64 #s(literal -1/3 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) y))) |
(/ t y) |
(/.f64 t y) |
(/ t y) |
(/.f64 t y) |
(/ t y) |
(/.f64 t y) |
(/ t y) |
(/.f64 t y) |
(+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(fma.f64 (*.f64 y z) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #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 (neg.f64 x) y))))) x) |
(+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+.f64 x (fma.f64 (*.f64 y z) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))))) (*.f64 z t))) |
(+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+.f64 x (fma.f64 (*.f64 y z) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))))) (*.f64 t (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 z (*.f64 t t)) (*.f64 y y)) z)))) |
(+ x (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+.f64 x (fma.f64 (*.f64 y z) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))))) (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 #s(literal -1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 z (*.f64 t t))) (pow.f64 y #s(literal 4 binary64)))) z)))) |
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t |
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x |
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(-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y)))))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y)))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y)))))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y)))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y)))))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y)))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))))) |
(/ (* x y) t) |
(*.f64 x (/.f64 y t)) |
(/ (* x y) t) |
(*.f64 x (/.f64 y t)) |
(/ (* x y) t) |
(*.f64 x (/.f64 y t)) |
(/ (* x y) t) |
(*.f64 x (/.f64 y t)) |
(* (pow t 2) (pow x 3)) |
(*.f64 (*.f64 t t) (*.f64 x (*.f64 x x))) |
(* (pow t 2) (pow x 3)) |
(*.f64 (*.f64 t t) (*.f64 x (*.f64 x x))) |
(* (pow t 2) (pow x 3)) |
(*.f64 (*.f64 t t) (*.f64 x (*.f64 x x))) |
(* (pow t 2) (pow x 3)) |
(*.f64 (*.f64 t t) (*.f64 x (*.f64 x x))) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(* -1 (* (pow x 5) (- (* -1 (/ t x)) 1))) |
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 t (neg.f64 x))) (neg.f64 (pow.f64 x #s(literal 5 binary64)))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ t (/ (pow t 2) x)) x)) 1))) |
(*.f64 (+.f64 (/.f64 (fma.f64 t (/.f64 t x) t) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 (pow.f64 x #s(literal 5 binary64)))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ t (/ (pow t 2) x)) x)) 1))) |
(*.f64 (+.f64 (/.f64 (fma.f64 t (/.f64 t x) t) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 (pow.f64 x #s(literal 5 binary64)))) |
| 4 192× | lower-/.f32 |
| 4 188× | lower-*.f32 |
| 4 180× | lower-/.f64 |
| 4 158× | lower-*.f64 |
| 3 400× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 578 |
| 0 | 108 | 523 |
| 1 | 427 | 485 |
| 2 | 3701 | 477 |
| 0 | 8888 | 472 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z x) |
(fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) |
(tanh.f64 (/.f64 t y)) |
(/.f64 t y) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* 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 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 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x))))) |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x)))) |
(fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 x t))) (/.f64 x (neg.f64 y))) |
(/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 x t))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 x t))) (/.f64 x (neg.f64 y))))))) |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 x t))) (/.f64 x (neg.f64 y)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 t (*.f64 t t)) (fma.f64 t t (*.f64 x (+.f64 t x)))) #s(approx (* (+ (* t t) (* x (+ t x))) (* x (* x x))) (*.f64 (*.f64 t t) (*.f64 x (*.f64 x x))))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (+.f64 t x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (-.f64 (*.f64 (*.f64 t (*.f64 t t)) (fma.f64 t t (*.f64 x (+.f64 t x)))) #s(approx (* (+ (* t t) (* x (+ t x))) (* x (* x x))) (*.f64 (*.f64 t t) (*.f64 x (*.f64 x x))))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)) |
(fma.f64 z (/.f64 (-.f64 (*.f64 (*.f64 t (*.f64 t t)) (fma.f64 t t (*.f64 x (+.f64 t x)))) #s(approx (* (+ (* t t) (* x (+ t x))) (* x (* x x))) (*.f64 (*.f64 t t) (*.f64 x (*.f64 x x))))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (+.f64 t x))))) x) |
(-.f64 (*.f64 (*.f64 t (*.f64 t t)) (fma.f64 t t (*.f64 x (+.f64 t x)))) #s(approx (* (+ (* t t) (* x (+ t x))) (* x (* x x))) (*.f64 (*.f64 t t) (*.f64 x (*.f64 x x))))) |
#s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)) |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 x t))) (/.f64 x (neg.f64 y))))) |
(*.f64 y (/.f64 x t)) |
(*.f64 (*.f64 t t) (*.f64 x (*.f64 x x))) |
#s(approx (* (+ (* t t) (* x (+ t x))) (* x (* x x))) (*.f64 (*.f64 t t) (*.f64 x (*.f64 x x)))) |
| Outputs |
|---|
(+.f64 x (*.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z)) |
(+.f64 (*.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z) x) |
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z) #s(literal 2 binary64)) (fma.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z (neg.f64 x)))) |
(fma.f64 x #s(literal 1 binary64) (*.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z)) |
(fma.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z x) |
(fma.f64 z (fma.f64 y (tanh.f64 (/.f64 t y)) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) x) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z)) (pow.f64 (*.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z) #s(literal 2 binary64))) (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z) #s(literal 2 binary64)) (*.f64 x x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z)) (pow.f64 (*.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z) #s(literal 2 binary64))) (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z) #s(literal 3 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z) #s(literal 2 binary64)) (*.f64 x x))))) |
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z)) (pow.f64 (*.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z) #s(literal 2 binary64)) (*.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) (*.f64 z x))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z (neg.f64 x))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z)) (pow.f64 (*.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (*.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z) #s(literal 2 binary64)) (*.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) (*.f64 z x)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z (neg.f64 x)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z) #s(literal 2 binary64))) (-.f64 x (*.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (*.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z)) (pow.f64 (*.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z (neg.f64 x))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z)))) |
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z)) (pow.f64 (*.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z) #s(literal 2 binary64))) (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z) #s(literal 2 binary64)) (*.f64 x x))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z)) (pow.f64 (*.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z) #s(literal 2 binary64))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y (tanh.f64 (/.f64 t y)) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z (neg.f64 x)))) |
(+.f64 #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)) (*.f64 y (tanh.f64 (/.f64 t y)))) |
(+.f64 (*.f64 y (tanh.f64 (/.f64 t y))) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) |
(-.f64 (/.f64 (pow.f64 (*.f64 y (tanh.f64 (/.f64 t y))) #s(literal 2 binary64)) (-.f64 (*.f64 y (tanh.f64 (/.f64 t y))) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)))) (/.f64 (*.f64 #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) (-.f64 (*.f64 y (tanh.f64 (/.f64 t y))) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))))) |
(fma.f64 y (tanh.f64 (/.f64 t y)) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) |
(fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)) (-.f64 #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)) (*.f64 y (tanh.f64 (/.f64 t y)))) (pow.f64 (*.f64 y (tanh.f64 (/.f64 t y))) #s(literal 2 binary64))) (fma.f64 #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)) (*.f64 #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) (pow.f64 (*.f64 y (tanh.f64 (/.f64 t y))) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y (tanh.f64 (/.f64 t y))) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) (-.f64 (pow.f64 (*.f64 y (tanh.f64 (/.f64 t y))) #s(literal 2 binary64)) (*.f64 #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)))))) |
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 y (tanh.f64 (/.f64 t y))) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) (-.f64 (pow.f64 (*.f64 y (tanh.f64 (/.f64 t y))) #s(literal 2 binary64)) (*.f64 #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)) #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))))))) |
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(pow.f64 (/.f64 (fma.f64 #s(approx (* (+ (* t t) (* x (+ t x))) (* x (* x x))) (*.f64 t (*.f64 t (*.f64 x (*.f64 x x))))) (fma.f64 t (*.f64 (*.f64 t t) (fma.f64 t t (*.f64 x (+.f64 t x)))) #s(approx (* (+ (* t t) (* x (+ t x))) (* x (* x x))) (*.f64 t (*.f64 t (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 (*.f64 t (*.f64 t t)) (fma.f64 t t (*.f64 x (+.f64 t x)))) (*.f64 (*.f64 t (*.f64 t t)) (fma.f64 t t (*.f64 x (+.f64 t x)))))) (-.f64 (*.f64 (*.f64 (*.f64 t (*.f64 t t)) (fma.f64 t t (*.f64 x (+.f64 t x)))) (*.f64 (*.f64 (*.f64 t (*.f64 t t)) (fma.f64 t t (*.f64 x (+.f64 t x)))) (*.f64 (*.f64 t (*.f64 t t)) (fma.f64 t t (*.f64 x (+.f64 t x)))))) (*.f64 #s(approx (* (+ (* t t) (* x (+ t x))) (* x (* x x))) (*.f64 t (*.f64 t (*.f64 x (*.f64 x x))))) (*.f64 #s(approx (* (+ (* t t) (* x (+ t x))) (* x (* x x))) (*.f64 t (*.f64 t (*.f64 x (*.f64 x x))))) #s(approx (* (+ (* t t) (* x (+ t x))) (* x (* x x))) (*.f64 t (*.f64 t (*.f64 x (*.f64 x x))))))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 t (*.f64 (*.f64 t t) (fma.f64 t t (*.f64 x (+.f64 t x)))) #s(approx (* (+ (* t t) (* x (+ t x))) (* x (* x x))) (*.f64 t (*.f64 t (*.f64 x (*.f64 x x)))))) (*.f64 (fma.f64 t (*.f64 (*.f64 t t) (fma.f64 t t (*.f64 x (+.f64 t x)))) #s(approx (* (+ (* t t) (* x (+ t x))) (* x (* x x))) (*.f64 t (*.f64 t (*.f64 x (*.f64 x x)))))) (-.f64 (*.f64 (*.f64 t (*.f64 t t)) (fma.f64 t t (*.f64 x (+.f64 t x)))) #s(approx (* (+ (* t t) (* x (+ t x))) (* x (* x x))) (*.f64 t (*.f64 t (*.f64 x (*.f64 x x)))))))) #s(literal -1 binary64)) |
(*.f64 (-.f64 (*.f64 (*.f64 (*.f64 t (*.f64 t t)) (fma.f64 t t (*.f64 x (+.f64 t x)))) (*.f64 (*.f64 (*.f64 t (*.f64 t t)) (fma.f64 t t (*.f64 x (+.f64 t x)))) (*.f64 (*.f64 t (*.f64 t t)) (fma.f64 t t (*.f64 x (+.f64 t x)))))) (*.f64 #s(approx (* (+ (* t t) (* x (+ t x))) (* x (* x x))) (*.f64 t (*.f64 t (*.f64 x (*.f64 x x))))) (*.f64 #s(approx (* (+ (* t t) (* x (+ t x))) (* x (* x x))) (*.f64 t (*.f64 t (*.f64 x (*.f64 x x))))) #s(approx (* (+ (* t t) (* x (+ t x))) (* x (* x x))) (*.f64 t (*.f64 t (*.f64 x (*.f64 x x)))))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (* (+ (* t t) (* x (+ t x))) (* x (* x x))) (*.f64 t (*.f64 t (*.f64 x (*.f64 x x))))) (fma.f64 t (*.f64 (*.f64 t t) (fma.f64 t t (*.f64 x (+.f64 t x)))) #s(approx (* (+ (* t t) (* x (+ t x))) (* x (* x x))) (*.f64 t (*.f64 t (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 (*.f64 t (*.f64 t t)) (fma.f64 t t (*.f64 x (+.f64 t x)))) (*.f64 (*.f64 t (*.f64 t t)) (fma.f64 t t (*.f64 x (+.f64 t x)))))))) |
(*.f64 (*.f64 (fma.f64 t (*.f64 (*.f64 t t) (fma.f64 t t (*.f64 x (+.f64 t x)))) #s(approx (* (+ (* t t) (* x (+ t x))) (* x (* x x))) (*.f64 t (*.f64 t (*.f64 x (*.f64 x x)))))) (-.f64 (*.f64 (*.f64 t (*.f64 t t)) (fma.f64 t t (*.f64 x (+.f64 t x)))) #s(approx (* (+ (* t t) (* x (+ t x))) (* x (* x x))) (*.f64 t (*.f64 t (*.f64 x (*.f64 x x))))))) (/.f64 #s(literal 1 binary64) (fma.f64 t (*.f64 (*.f64 t t) (fma.f64 t t (*.f64 x (+.f64 t x)))) #s(approx (* (+ (* t t) (* x (+ t x))) (* x (* x x))) (*.f64 t (*.f64 t (*.f64 x (*.f64 x x)))))))) |
#s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x)) |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (-.f64 (*.f64 (/.f64 x (*.f64 y x)) t) (/.f64 x y)))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 (*.f64 y x) t)) #s(literal -1 binary64)))) |
(/.f64 y (/.f64 t x)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) t)) |
(/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 y x))) |
(/.f64 (/.f64 (*.f64 y x) t) #s(literal 1 binary64)) |
(/.f64 (neg.f64 y) (neg.f64 (/.f64 t x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) t))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 t (*.f64 y x)))) |
(/.f64 (/.f64 (*.f64 y x) (neg.f64 t)) #s(literal -1 binary64)) |
(/.f64 (*.f64 y x) t) |
(/.f64 (*.f64 y x) (*.f64 #s(literal 1 binary64) t)) |
(/.f64 (*.f64 y (neg.f64 x)) (neg.f64 t)) |
(/.f64 (*.f64 y #s(literal 1 binary64)) (/.f64 t x)) |
(/.f64 (neg.f64 (/.f64 (*.f64 y x) (neg.f64 t))) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (*.f64 y x)) (neg.f64 t)) |
(/.f64 (neg.f64 (*.f64 y x)) (neg.f64 (*.f64 #s(literal 1 binary64) t))) |
(/.f64 (*.f64 (neg.f64 x) y) (neg.f64 t)) |
(/.f64 (neg.f64 (*.f64 y (neg.f64 x))) (neg.f64 (neg.f64 t))) |
(/.f64 (neg.f64 (*.f64 y #s(literal 1 binary64))) (neg.f64 (/.f64 t x))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 y x))) (neg.f64 (neg.f64 t))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) y)) (neg.f64 (neg.f64 t))) |
(pow.f64 (/.f64 (*.f64 y x) t) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) t) #s(literal -1 binary64)) |
(pow.f64 (/.f64 t (*.f64 y x)) #s(literal -1 binary64)) |
(*.f64 y (/.f64 x t)) |
(*.f64 y (/.f64 (/.f64 x t) #s(literal 1 binary64))) |
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) t) y)) |
(*.f64 (/.f64 x t) y) |
(*.f64 (/.f64 x t) (/.f64 y #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 y x) t) #s(literal 1 binary64)) |
(*.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) t)) |
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 t) (*.f64 (log.f64 x) #s(literal 3 binary64)))) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal 3 binary64) (log.f64 (*.f64 t t)))) |
(*.f64 t (*.f64 t (*.f64 x (*.f64 x x)))) |
(*.f64 x (*.f64 (*.f64 t t) (*.f64 x x))) |
(*.f64 (*.f64 t t) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 x x) (*.f64 t (*.f64 t x))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 t t)) |
(*.f64 (*.f64 t (*.f64 t x)) (*.f64 x x)) |
(*.f64 (*.f64 t (*.f64 x (*.f64 x x))) t) |
(*.f64 (*.f64 (*.f64 t t) (*.f64 x x)) x) |
(*.f64 (*.f64 (*.f64 t (*.f64 t x)) x) x) |
#s(approx (* (+ (* t t) (* x (+ t x))) (* x (* x x))) (*.f64 t (*.f64 t (*.f64 x (*.f64 x x))))) |
Compiled 63 934 to 3 523 computations (94.5% saved)
47 alts after pruning (40 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 472 | 18 | 1 490 |
| Fresh | 10 | 22 | 32 |
| Picked | 1 | 4 | 5 |
| Done | 1 | 3 | 4 |
| Total | 1 484 | 47 | 1 531 |
| Status | Accuracy | Program |
|---|---|---|
| 51.4% | (fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1 binary64))))) z x) | |
| ✓ | 76.2% | (fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z x) |
| 39.8% | (fma.f64 (fma.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)))) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z x) | |
| 60.4% | (fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x) | |
| ✓ | 97.7% | (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) |
| 69.4% | (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) | |
| 16.4% | (fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (fma.f64 t (*.f64 t t) (*.f64 x (*.f64 x x))) (-.f64 t x)) (*.f64 (fma.f64 x (-.f64 x t) (*.f64 t t)) (*.f64 y (+.f64 t x)))))) y x) | |
| 29.2% | (fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (*.f64 (/.f64 (*.f64 (-.f64 t x) (+.f64 t x)) (fma.f64 t (*.f64 t t) (*.f64 x (*.f64 x x)))) (fma.f64 x (-.f64 x t) (*.f64 t t)))) (*.f64 y (+.f64 t x))))) y x) | |
| 31.4% | (fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) #s(approx (- t x) (neg.f64 x))) (*.f64 y (+.f64 t x))))) y x) | |
| 42.3% | (fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 (-.f64 t x) (*.f64 y (+.f64 t x))) (+.f64 t x)))) y x) | |
| 24.0% | (fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 (*.f64 (-.f64 t x) (/.f64 (+.f64 t x) y)) (fma.f64 t (*.f64 t t) (*.f64 x (*.f64 x x)))) (fma.f64 x (-.f64 x t) (*.f64 t t))))) y x) | |
| 44.7% | (fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 t x)) (*.f64 (-.f64 t x) (/.f64 (+.f64 t x) y))))) y x) | |
| 43.2% | (fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 x (neg.f64 y))))) y x) | |
| 50.1% | (fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y)))) y x) | |
| 48.3% | (fma.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x) | |
| 43.4% | (fma.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (-.f64 (*.f64 (/.f64 x (*.f64 y x)) t) (/.f64 x y)))) x) | |
| 40.4% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 t x) (*.f64 (+.f64 t x) (-.f64 t x)))) y)))) | |
| 32.0% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x)))))) | |
| 41.6% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))) | |
| 37.7% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (fma.f64 (*.f64 t x) (/.f64 #s(literal 1 binary64) (*.f64 y x)) (neg.f64 (/.f64 x y))))))) | |
| ✓ | 46.1% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 x t))) (/.f64 x (neg.f64 y))))))) |
| 43.0% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (fma.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) t) (/.f64 x (neg.f64 y))))))) | |
| 25.1% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (fma.f64 (neg.f64 x) (/.f64 (*.f64 y x) t) (*.f64 y x)) (*.f64 y (/.f64 (*.f64 y x) t))))))) | |
| 19.3% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (fma.f64 x (/.f64 y (neg.f64 x)) (/.f64 (*.f64 y x) t)) (*.f64 (/.f64 (*.f64 y x) t) (/.f64 y (neg.f64 x)))))))) | |
| 47.8% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (-.f64 (/.f64 x (/.f64 x t)) x) y))))) | |
| 50.8% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))))) | |
| 37.7% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (-.f64 (/.f64 (*.f64 t x) (*.f64 y x)) (/.f64 x y)))))) | |
| 26.7% | (*.f64 (*.f64 (fma.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x) (-.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))))) | |
| 18.8% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (+.f64 t x))))) z x)) | |
| ✓ | 19.3% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (-.f64 (*.f64 (*.f64 t (*.f64 t t)) (fma.f64 t t (*.f64 x (+.f64 t x)))) #s(approx (* (+ (* t t) (* x (+ t x))) (* x (* x x))) (*.f64 (*.f64 t t) (*.f64 x (*.f64 x x))))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)) |
| 26.7% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (fma.f64 t t (*.f64 x (+.f64 t x)))) x)) | |
| 11.9% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(approx (- (* (* t (* t t)) (+ (* t t) (* x (+ t x)))) (* (+ (* t t) (* x (+ t x))) (* x (* x x)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 t (/.f64 t x) t) (neg.f64 x))) (neg.f64 (pow.f64 x #s(literal 5 binary64))))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)) | |
| 22.2% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(approx (- (* (* t (* t t)) (+ (* t t) (* x (+ t x)))) (* (+ (* t t) (* x (+ t x))) (* x (* x x)))) (neg.f64 (pow.f64 x #s(literal 5 binary64)))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)) | |
| ✓ | 60.8% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)) |
| 27.8% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (/ (- (* (* t (* t t)) (+ (* t t) (* x (+ t x)))) (* (+ (* t t) (* x (+ t x))) (* x (* x x)))) (* (+ (* t t) (* x (+ t x))) (+ (* t t) (* x (+ t x))))) (*.f64 x (-.f64 (neg.f64 (fma.f64 t (/.f64 t (*.f64 x x)) (/.f64 t x))) (+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 t x) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 t t) (*.f64 x x)) (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 t t)) (*.f64 x x))))))) x)) | |
| 32.6% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (*.f64 (fma.f64 z (-.f64 t x) x) (-.f64 (*.f64 z (-.f64 t x)) x)) (-.f64 (*.f64 z (-.f64 t x)) x))) | |
| 20.4% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (/ (- (* (* t (* t t)) (+ (* t t) (* x (+ t x)))) (* (+ (* t t) (* x (+ t x))) (* x (* x x)))) (* (+ (* t t) (* x (+ t x))) (+ (* t t) (* x (+ t x)))))) x) (fma.f64 x (-.f64 #s(literal 1 binary64) z) (*.f64 t (+.f64 (neg.f64 z) (fma.f64 t (-.f64 (/.f64 z (neg.f64 x)) (fma.f64 z (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 x x)) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 #s(literal 2 binary64) z) x))) (*.f64 #s(literal 2 binary64) z))))))) | |
| 50.2% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (/ (- (* (* t (* t t)) (+ (* t t) (* x (+ t x)))) (* (+ (* t t) (* x (+ t x))) (* x (* x x)))) (* (+ (* t t) (* x (+ t x))) (+ (* t t) (* x (+ t x)))))) x) (-.f64 x (*.f64 x z)))) | |
| 50.1% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (/ (- (* (* t (* t t)) (+ (* t t) (* x (+ t x)))) (* (+ (* t t) (* x (+ t x))) (* x (* x x)))) (* (+ (* t t) (* x (+ t x))) (+ (* t t) (* x (+ t x)))))) x) (+.f64 x (*.f64 x (+.f64 (neg.f64 (fma.f64 t (/.f64 z x) z)) (/.f64 (*.f64 (*.f64 z t) #s(literal 2 binary64)) x)))))) | |
| 57.3% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (fma.f64 x (fma.f64 z (/.f64 t x) (neg.f64 z)) x))) | |
| 25.1% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (/.f64 (*.f64 (-.f64 t x) (+.f64 t x)) (+.f64 t x))))) | |
| 25.0% | #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 (+.f64 t x) (*.f64 (-.f64 t x) (+.f64 t x))))))) | |
| ✓ | 30.0% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))) |
| 14.3% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (*.f64 (/.f64 (*.f64 (-.f64 t x) (+.f64 t x)) (fma.f64 t (*.f64 t t) (*.f64 x (*.f64 x x)))) (fma.f64 x (-.f64 x t) (*.f64 t t)))))) | |
| 28.8% | #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 x (/.f64 t x) (neg.f64 x)))))) | |
| 13.6% | #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))))) | |
| ✓ | 19.9% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) |
Compiled 2 888 to 934 computations (67.7% saved)
| Inputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* 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))))) #s(approx (+ (* z (- t x)) x) (-.f64 x (*.f64 x z)))) |
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#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)) |
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(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 x (/.f64 t x) (neg.f64 x)))))) |
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(fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 x (neg.f64 y))))) y x) |
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#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 (+.f64 t x) (*.f64 (-.f64 t x) (+.f64 t x))))))) |
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#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 t x) (*.f64 (+.f64 t x) (-.f64 t x)))) x)) |
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#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (/ (- (* (* t (* t t)) (+ (* t t) (* x (+ t x)))) (* (+ (* t t) (* x (+ t x))) (* x (* x x)))) (* (+ (* t t) (* x (+ t x))) (+ (* t t) (* x (+ t x)))))) x) (*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 t (/.f64 z x) z))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 t z)) x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (/ (- (* (* t (* t t)) (+ (* t t) (* x (+ t x)))) (* (+ (* t t) (* x (+ t x))) (* x (* x x)))) (* (+ (* t t) (* x (+ t x))) (+ (* t t) (* x (+ t x)))))) x) (+.f64 x (*.f64 x (+.f64 (neg.f64 (fma.f64 t (/.f64 z x) z)) (/.f64 (*.f64 (*.f64 z t) #s(literal 2 binary64)) x)))))) |
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#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (fma.f64 t t (*.f64 x (+.f64 t x)))) x)) |
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(+.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))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(approx (- (* (* t (* t t)) (+ (* t t) (* x (+ t x)))) (* (+ (* t t) (* x (+ t x))) (* x (* x x)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 t (/.f64 t x) t) (neg.f64 x))) (neg.f64 (pow.f64 x #s(literal 5 binary64))))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)) |
(/.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) (-.f64 (*.f64 (*.f64 y z) #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)) (fma.f64 (*.f64 y z) (*.f64 #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 (*.f64 x x) (*.f64 (*.f64 x (*.f64 y z)) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))))) |
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) z 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 (fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) z x) |
5 calls:
| 40.0ms | t |
| 28.0ms | y |
| 27.0ms | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 22.0ms | x |
| 19.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.7% | 1 | x |
| 97.7% | 1 | y |
| 97.7% | 1 | z |
| 97.7% | 1 | t |
| 97.7% | 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))))) #s(approx (+ (* z (- t x)) x) (-.f64 x (*.f64 x z)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (/ (- (* (* t (* t t)) (+ (* t t) (* x (+ t x)))) (* (+ (* t t) (* x (+ t x))) (* x (* x x)))) (* (+ (* t t) (* x (+ t x))) (+ (* t t) (* x (+ t x)))))) x) (-.f64 x (*.f64 x z)))) |
#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)))) |
(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 x (/.f64 t x) (neg.f64 x)))))) |
(+.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) (fma.f64 x (fma.f64 z (/.f64 t x) (neg.f64 z)) x))) |
(fma.f64 (*.f64 y z) #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) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (/.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 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) #s(approx (- t x) (neg.f64 x))) (*.f64 y (+.f64 t x))))) 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 (+.f64 t x) (*.f64 (-.f64 t x) (+.f64 t x))))))) |
(fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 (-.f64 t x) (*.f64 y (+.f64 t x))) (+.f64 t x)))) y 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) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 t x) (*.f64 (+.f64 t x) (-.f64 t x)))) x)) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x)))))) |
(fma.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (-.f64 (*.f64 (/.f64 x (*.f64 y x)) t) (/.f64 x y)))) 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) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (*.f64 (fma.f64 z (-.f64 t x) x) (-.f64 (*.f64 z (-.f64 t x)) x)) (-.f64 (*.f64 z (-.f64 t x)) x))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (-.f64 (/.f64 (*.f64 t x) (*.f64 y x)) (/.f64 x y)))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (fma.f64 x (/.f64 t (*.f64 x y)) (/.f64 x (neg.f64 y))))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (-.f64 (/.f64 x (/.f64 x t)) x) y))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (/ (- (* (* t (* t t)) (+ (* t t) (* x (+ t x)))) (* (+ (* t t) (* x (+ t x))) (* x (* x x)))) (* (+ (* t t) (* x (+ t x))) (+ (* t t) (* x (+ t x)))))) x) (*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 t (/.f64 z x) z))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 t z)) x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (/ (- (* (* t (* t t)) (+ (* t t) (* x (+ t x)))) (* (+ (* t t) (* x (+ t x))) (* x (* x x)))) (* (+ (* t t) (* x (+ t x))) (+ (* t t) (* x (+ t x)))))) x) (+.f64 x (*.f64 x (+.f64 (neg.f64 (fma.f64 t (/.f64 z x) z)) (/.f64 (*.f64 (*.f64 z t) #s(literal 2 binary64)) x)))))) |
(fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 t x)) (*.f64 (-.f64 t x) (/.f64 (+.f64 t x) y))))) y x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (fma.f64 t t (*.f64 x (+.f64 t x)))) x)) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (fma.f64 (*.f64 t x) (/.f64 #s(literal 1 binary64) (*.f64 y x)) (neg.f64 (/.f64 x y))))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (fma.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) t) (/.f64 x (neg.f64 y))))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 x t))) (/.f64 x (neg.f64 y))))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 t x) (*.f64 (+.f64 t x) (-.f64 t x)))) y)))) |
(fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t (/.f64 y x)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x))))) y x) |
(fma.f64 (fma.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)))) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (*.f64 (/.f64 (*.f64 (-.f64 t x) (+.f64 t x)) (fma.f64 t (*.f64 t t) (*.f64 x (*.f64 x x)))) (fma.f64 x (-.f64 x t) (*.f64 t t)))))) |
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(fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (fma.f64 t (*.f64 t t) (*.f64 x (*.f64 x x))) (-.f64 t x)) (*.f64 (fma.f64 x (-.f64 x t) (*.f64 t t)) (*.f64 y (+.f64 t x)))))) y x) |
(fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 (*.f64 (-.f64 t x) (/.f64 (+.f64 t x) y)) (fma.f64 t (*.f64 t t) (*.f64 x (*.f64 x x)))) (fma.f64 x (-.f64 x t) (*.f64 t t))))) y x) |
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#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (+.f64 t x))))) z x)) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (fma.f64 x (/.f64 y (neg.f64 x)) (/.f64 (*.f64 y x) t)) (*.f64 (/.f64 (*.f64 y x) t) (/.f64 y (neg.f64 x)))))))) |
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#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (/ (- (* (* t (* t t)) (+ (* t t) (* x (+ t x)))) (* (+ (* t t) (* x (+ t x))) (* x (* x x)))) (* (+ (* t t) (* x (+ t x))) (+ (* t t) (* x (+ t x)))))) x) (fma.f64 x (-.f64 #s(literal 1 binary64) z) (*.f64 t (+.f64 (neg.f64 z) (fma.f64 t (-.f64 (/.f64 z (neg.f64 x)) (fma.f64 z (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 x x)) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 #s(literal 2 binary64) z) x))) (*.f64 #s(literal 2 binary64) z))))))) |
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#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (-.f64 (*.f64 (*.f64 t (*.f64 t t)) (fma.f64 t t (*.f64 x (+.f64 t x)))) #s(approx (* (+ (* t t) (* x (+ t x))) (* x (* x x))) (*.f64 (*.f64 t t) (*.f64 x (*.f64 x x))))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)) |
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(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z x) |
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) |
(fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) 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))))) |
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(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1 binary64))))) z 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))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(approx (- (* (* t (* t t)) (+ (* t t) (* x (+ t x)))) (* (+ (* t t) (* x (+ t x))) (* x (* x x)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 t (/.f64 t x) t) (neg.f64 x))) (neg.f64 (pow.f64 x #s(literal 5 binary64))))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)) |
(/.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) (-.f64 (*.f64 (*.f64 y z) #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)) (fma.f64 (*.f64 y z) (*.f64 #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 (*.f64 x x) (*.f64 (*.f64 x (*.f64 y z)) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))))) |
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| Outputs |
|---|
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) |
5 calls:
| 23.0ms | t |
| 22.0ms | z |
| 21.0ms | y |
| 21.0ms | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 20.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.7% | 1 | x |
| 97.7% | 1 | y |
| 97.7% | 1 | z |
| 97.7% | 1 | t |
| 97.7% | 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))))) #s(approx (+ (* z (- t x)) x) (-.f64 x (*.f64 x z)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (/ (- (* (* t (* t t)) (+ (* t t) (* x (+ t x)))) (* (+ (* t t) (* x (+ t x))) (* x (* x x)))) (* (+ (* t t) (* x (+ t x))) (+ (* t t) (* x (+ t x)))))) x) (-.f64 x (*.f64 x z)))) |
#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)))) |
(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 x (/.f64 t x) (neg.f64 x)))))) |
(+.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) (fma.f64 x (fma.f64 z (/.f64 t x) (neg.f64 z)) x))) |
(fma.f64 (*.f64 y z) #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) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (/.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 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) #s(approx (- t x) (neg.f64 x))) (*.f64 y (+.f64 t x))))) 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 (+.f64 t x) (*.f64 (-.f64 t x) (+.f64 t x))))))) |
(fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 (-.f64 t x) (*.f64 y (+.f64 t x))) (+.f64 t x)))) y 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) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 t x) (*.f64 (+.f64 t x) (-.f64 t x)))) x)) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x)))))) |
(fma.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (-.f64 (*.f64 (/.f64 x (*.f64 y x)) t) (/.f64 x y)))) 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) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (*.f64 (fma.f64 z (-.f64 t x) x) (-.f64 (*.f64 z (-.f64 t x)) x)) (-.f64 (*.f64 z (-.f64 t x)) x))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (-.f64 (/.f64 (*.f64 t x) (*.f64 y x)) (/.f64 x y)))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (fma.f64 x (/.f64 t (*.f64 x y)) (/.f64 x (neg.f64 y))))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (-.f64 (/.f64 x (/.f64 x t)) x) y))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (/ (- (* (* t (* t t)) (+ (* t t) (* x (+ t x)))) (* (+ (* t t) (* x (+ t x))) (* x (* x x)))) (* (+ (* t t) (* x (+ t x))) (+ (* t t) (* x (+ t x)))))) x) (*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 t (/.f64 z x) z))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 t z)) x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (/ (- (* (* t (* t t)) (+ (* t t) (* x (+ t x)))) (* (+ (* t t) (* x (+ t x))) (* x (* x x)))) (* (+ (* t t) (* x (+ t x))) (+ (* t t) (* x (+ t x)))))) x) (+.f64 x (*.f64 x (+.f64 (neg.f64 (fma.f64 t (/.f64 z x) z)) (/.f64 (*.f64 (*.f64 z t) #s(literal 2 binary64)) x)))))) |
(fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 t x)) (*.f64 (-.f64 t x) (/.f64 (+.f64 t x) y))))) y x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (fma.f64 t t (*.f64 x (+.f64 t x)))) x)) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (fma.f64 (*.f64 t x) (/.f64 #s(literal 1 binary64) (*.f64 y x)) (neg.f64 (/.f64 x y))))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (fma.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) t) (/.f64 x (neg.f64 y))))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 x t))) (/.f64 x (neg.f64 y))))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 t x) (*.f64 (+.f64 t x) (-.f64 t x)))) y)))) |
(fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t (/.f64 y x)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x))))) y x) |
(fma.f64 (fma.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)))) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (*.f64 (/.f64 (*.f64 (-.f64 t x) (+.f64 t x)) (fma.f64 t (*.f64 t t) (*.f64 x (*.f64 x x)))) (fma.f64 x (-.f64 x t) (*.f64 t t)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (/ (- (* (* t (* t t)) (+ (* t t) (* x (+ t x)))) (* (+ (* t t) (* x (+ t x))) (* x (* x x)))) (* (+ (* t t) (* x (+ t x))) (+ (* t t) (* x (+ t x))))) (fma.f64 t (-.f64 #s(literal 1 binary64) (*.f64 t (+.f64 (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 x x)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 3 binary64) x)))) (neg.f64 x))) x)) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (fma.f64 (neg.f64 x) (/.f64 (*.f64 y x) t) (*.f64 y x)) (*.f64 y (/.f64 (*.f64 y x) t))))))) |
(+.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)))) #s(approx (tanh (/ x y)) (/.f64 x y))))) |
(fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (fma.f64 t (*.f64 t t) (*.f64 x (*.f64 x x))) (-.f64 t x)) (*.f64 (fma.f64 x (-.f64 x t) (*.f64 t t)) (*.f64 y (+.f64 t x)))))) y x) |
(fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 (*.f64 (-.f64 t x) (/.f64 (+.f64 t x) y)) (fma.f64 t (*.f64 t t) (*.f64 x (*.f64 x x)))) (fma.f64 x (-.f64 x t) (*.f64 t t))))) y x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (/ (- (* (* t (* t t)) (+ (* t t) (* x (+ t x)))) (* (+ (* t t) (* x (+ t x))) (* x (* x x)))) (* (+ (* t t) (* x (+ t x))) (+ (* t t) (* x (+ t x))))) (neg.f64 (fma.f64 t (/.f64 (+.f64 (-.f64 x (/.f64 (neg.f64 (fma.f64 x x (fma.f64 (*.f64 x #s(literal -2 binary64)) (+.f64 x (*.f64 x #s(literal -2 binary64))) (*.f64 #s(literal -3 binary64) (*.f64 x x))))) t)) (*.f64 x #s(literal -2 binary64))) (neg.f64 t)) (neg.f64 t)))) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (+.f64 t x))))) z x)) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (fma.f64 x (/.f64 y (neg.f64 x)) (/.f64 (*.f64 y x) t)) (*.f64 (/.f64 (*.f64 y x) t) (/.f64 y (neg.f64 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 #s(literal 1/3 binary64) (*.f64 t (*.f64 t t)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (/.f64 z y) (*.f64 z #s(literal 0 binary64))) y))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (/ (- (* (* t (* t t)) (+ (* t t) (* x (+ t x)))) (* (+ (* t t) (* x (+ t x))) (* x (* x x)))) (* (+ (* t t) (* x (+ t x))) (+ (* t t) (* x (+ t x)))))) x) (fma.f64 x (-.f64 #s(literal 1 binary64) z) (*.f64 t (+.f64 (neg.f64 z) (fma.f64 t (-.f64 (/.f64 z (neg.f64 x)) (fma.f64 z (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 x x)) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 #s(literal 2 binary64) z) x))) (*.f64 #s(literal 2 binary64) z))))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x) (-.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))) (/.f64 #s(literal 1 binary64) (-.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 (+.f64 t x) (*.f64 (/.f64 (*.f64 (-.f64 t x) (+.f64 t x)) (fma.f64 t (*.f64 t t) (*.f64 x (*.f64 x x)))) (fma.f64 x (-.f64 x t) (*.f64 t t)))) (*.f64 y (+.f64 t x))))) y x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (-.f64 (*.f64 (*.f64 t (*.f64 t t)) (fma.f64 t t (*.f64 x (+.f64 t x)))) #s(approx (* (+ (* t t) (* x (+ t x))) (* x (* x x))) (*.f64 (*.f64 t t) (*.f64 x (*.f64 x x))))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (/ (- (* (* t (* t t)) (+ (* t t) (* x (+ t x)))) (* (+ (* t t) (* x (+ t x))) (* x (* x x)))) (* (+ (* t t) (* x (+ t x))) (+ (* t t) (* x (+ t x)))))) x) (fma.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x (-.f64 (/.f64 z t) (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 z (*.f64 #s(literal 2 binary64) z)) t) (/.f64 (*.f64 z (*.f64 #s(literal 3 binary64) (*.f64 t t))) (*.f64 t (*.f64 t t))))) z) (*.f64 z #s(literal -2 binary64)))) (*.f64 t z)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (-.f64 (*.f64 (*.f64 t (*.f64 t t)) (fma.f64 t t (*.f64 x (+.f64 t x)))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)) |
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#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (/ (- (* (* t (* t t)) (+ (* t t) (* x (+ t x)))) (* (+ (* t t) (* x (+ t x))) (* x (* x x)))) (* (+ (* t t) (* x (+ t x))) (+ (* t t) (* x (+ t x))))) (*.f64 x (-.f64 (neg.f64 (fma.f64 t (/.f64 t (*.f64 x x)) (/.f64 t x))) (+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 t x) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 t t) (*.f64 x x)) (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 t t)) (*.f64 x x))))))) x)) |
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z x) |
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) |
(fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) 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))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(approx (- (* (* t (* t t)) (+ (* t t) (* x (+ t x)))) (* (+ (* t t) (* x (+ t x))) (* x (* x x)))) (pow.f64 t #s(literal 5 binary64))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(approx (- (* (* t (* t t)) (+ (* t t) (* x (+ t x)))) (* (+ (* t t) (* x (+ t x))) (* x (* x x)))) (neg.f64 (pow.f64 x #s(literal 5 binary64)))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)) |
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1 binary64))))) z 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))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(approx (- (* (* t (* t t)) (+ (* t t) (* x (+ t x)))) (* (+ (* t t) (* x (+ t x))) (* x (* x x)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 t (/.f64 t x) t) (neg.f64 x))) (neg.f64 (pow.f64 x #s(literal 5 binary64))))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)) |
(/.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) (-.f64 (*.f64 (*.f64 y z) #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)) (fma.f64 (*.f64 y z) (*.f64 #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 (*.f64 x x) (*.f64 (*.f64 x (*.f64 y z)) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))))) |
| Outputs |
|---|
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z x) |
(fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x) |
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z x) |
5 calls:
| 44.0ms | y |
| 30.0ms | z |
| 22.0ms | t |
| 20.0ms | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 18.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.5% | 3 | x |
| 76.2% | 1 | y |
| 76.2% | 1 | z |
| 80.1% | 3 | t |
| 76.2% | 1 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
Compiled 39 to 28 computations (28.2% saved)
| Inputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* 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))))) #s(approx (+ (* z (- t x)) x) (-.f64 x (*.f64 x z)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (/ (- (* (* t (* t t)) (+ (* t t) (* x (+ t x)))) (* (+ (* t t) (* x (+ t x))) (* x (* x x)))) (* (+ (* t t) (* x (+ t x))) (+ (* t t) (* x (+ t x)))))) x) (-.f64 x (*.f64 x z)))) |
#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)))) |
(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 x (/.f64 t x) (neg.f64 x)))))) |
(+.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) (fma.f64 x (fma.f64 z (/.f64 t x) (neg.f64 z)) x))) |
(fma.f64 (*.f64 y z) #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) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (/.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 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) #s(approx (- t x) (neg.f64 x))) (*.f64 y (+.f64 t x))))) 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 (+.f64 t x) (*.f64 (-.f64 t x) (+.f64 t x))))))) |
(fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 (-.f64 t x) (*.f64 y (+.f64 t x))) (+.f64 t x)))) y 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) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 t x) (*.f64 (+.f64 t x) (-.f64 t x)))) x)) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x)))))) |
(fma.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (-.f64 (*.f64 (/.f64 x (*.f64 y x)) t) (/.f64 x y)))) 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) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (*.f64 (fma.f64 z (-.f64 t x) x) (-.f64 (*.f64 z (-.f64 t x)) x)) (-.f64 (*.f64 z (-.f64 t x)) x))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (-.f64 (/.f64 (*.f64 t x) (*.f64 y x)) (/.f64 x y)))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (fma.f64 x (/.f64 t (*.f64 x y)) (/.f64 x (neg.f64 y))))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (-.f64 (/.f64 x (/.f64 x t)) x) y))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (/ (- (* (* t (* t t)) (+ (* t t) (* x (+ t x)))) (* (+ (* t t) (* x (+ t x))) (* x (* x x)))) (* (+ (* t t) (* x (+ t x))) (+ (* t t) (* x (+ t x)))))) x) (*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 t (/.f64 z x) z))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 t z)) x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (/ (- (* (* t (* t t)) (+ (* t t) (* x (+ t x)))) (* (+ (* t t) (* x (+ t x))) (* x (* x x)))) (* (+ (* t t) (* x (+ t x))) (+ (* t t) (* x (+ t x)))))) x) (+.f64 x (*.f64 x (+.f64 (neg.f64 (fma.f64 t (/.f64 z x) z)) (/.f64 (*.f64 (*.f64 z t) #s(literal 2 binary64)) x)))))) |
(fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 t x)) (*.f64 (-.f64 t x) (/.f64 (+.f64 t x) y))))) y x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (fma.f64 t t (*.f64 x (+.f64 t x)))) x)) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (fma.f64 (*.f64 t x) (/.f64 #s(literal 1 binary64) (*.f64 y x)) (neg.f64 (/.f64 x y))))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (fma.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) t) (/.f64 x (neg.f64 y))))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 x t))) (/.f64 x (neg.f64 y))))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 t x) (*.f64 (+.f64 t x) (-.f64 t x)))) y)))) |
(fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t (/.f64 y x)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x))))) y x) |
(fma.f64 (fma.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)))) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (*.f64 (/.f64 (*.f64 (-.f64 t x) (+.f64 t x)) (fma.f64 t (*.f64 t t) (*.f64 x (*.f64 x x)))) (fma.f64 x (-.f64 x t) (*.f64 t t)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (/ (- (* (* t (* t t)) (+ (* t t) (* x (+ t x)))) (* (+ (* t t) (* x (+ t x))) (* x (* x x)))) (* (+ (* t t) (* x (+ t x))) (+ (* t t) (* x (+ t x))))) (fma.f64 t (-.f64 #s(literal 1 binary64) (*.f64 t (+.f64 (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 x x)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 3 binary64) x)))) (neg.f64 x))) x)) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (fma.f64 (neg.f64 x) (/.f64 (*.f64 y x) t) (*.f64 y x)) (*.f64 y (/.f64 (*.f64 y x) t))))))) |
(+.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)))) #s(approx (tanh (/ x y)) (/.f64 x y))))) |
(fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (fma.f64 t (*.f64 t t) (*.f64 x (*.f64 x x))) (-.f64 t x)) (*.f64 (fma.f64 x (-.f64 x t) (*.f64 t t)) (*.f64 y (+.f64 t x)))))) y x) |
(fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 (*.f64 (-.f64 t x) (/.f64 (+.f64 t x) y)) (fma.f64 t (*.f64 t t) (*.f64 x (*.f64 x x)))) (fma.f64 x (-.f64 x t) (*.f64 t t))))) y x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (/ (- (* (* t (* t t)) (+ (* t t) (* x (+ t x)))) (* (+ (* t t) (* x (+ t x))) (* x (* x x)))) (* (+ (* t t) (* x (+ t x))) (+ (* t t) (* x (+ t x))))) (neg.f64 (fma.f64 t (/.f64 (+.f64 (-.f64 x (/.f64 (neg.f64 (fma.f64 x x (fma.f64 (*.f64 x #s(literal -2 binary64)) (+.f64 x (*.f64 x #s(literal -2 binary64))) (*.f64 #s(literal -3 binary64) (*.f64 x x))))) t)) (*.f64 x #s(literal -2 binary64))) (neg.f64 t)) (neg.f64 t)))) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (+.f64 t x))))) z x)) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (fma.f64 x (/.f64 y (neg.f64 x)) (/.f64 (*.f64 y x) t)) (*.f64 (/.f64 (*.f64 y x) t) (/.f64 y (neg.f64 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 #s(literal 1/3 binary64) (*.f64 t (*.f64 t t)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (/.f64 z y) (*.f64 z #s(literal 0 binary64))) y))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (/ (- (* (* t (* t t)) (+ (* t t) (* x (+ t x)))) (* (+ (* t t) (* x (+ t x))) (* x (* x x)))) (* (+ (* t t) (* x (+ t x))) (+ (* t t) (* x (+ t x)))))) x) (fma.f64 x (-.f64 #s(literal 1 binary64) z) (*.f64 t (+.f64 (neg.f64 z) (fma.f64 t (-.f64 (/.f64 z (neg.f64 x)) (fma.f64 z (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 x x)) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 #s(literal 2 binary64) z) x))) (*.f64 #s(literal 2 binary64) z))))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x) (-.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))) (/.f64 #s(literal 1 binary64) (-.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 (+.f64 t x) (*.f64 (/.f64 (*.f64 (-.f64 t x) (+.f64 t x)) (fma.f64 t (*.f64 t t) (*.f64 x (*.f64 x x)))) (fma.f64 x (-.f64 x t) (*.f64 t t)))) (*.f64 y (+.f64 t x))))) y x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (-.f64 (*.f64 (*.f64 t (*.f64 t t)) (fma.f64 t t (*.f64 x (+.f64 t x)))) #s(approx (* (+ (* t t) (* x (+ t x))) (* x (* x x))) (*.f64 (*.f64 t t) (*.f64 x (*.f64 x x))))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (/ (- (* (* t (* t t)) (+ (* t t) (* x (+ t x)))) (* (+ (* t t) (* x (+ t x))) (* x (* x x)))) (* (+ (* t t) (* x (+ t x))) (+ (* t t) (* x (+ t x)))))) x) (fma.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x (-.f64 (/.f64 z t) (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 z (*.f64 #s(literal 2 binary64) z)) t) (/.f64 (*.f64 z (*.f64 #s(literal 3 binary64) (*.f64 t t))) (*.f64 t (*.f64 t t))))) z) (*.f64 z #s(literal -2 binary64)))) (*.f64 t z)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (-.f64 (*.f64 (*.f64 t (*.f64 t t)) (fma.f64 t t (*.f64 x (+.f64 t x)))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (+.f64 t x))))) 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)))) #s(approx (tanh (/ x y)) (/.f64 (-.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) (neg.f64 y)) (neg.f64 y)) x) (neg.f64 y)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (/ (- (* (* t (* t t)) (+ (* t t) (* x (+ t x)))) (* (+ (* t t) (* x (+ t x))) (* x (* x x)))) (* (+ (* t t) (* x (+ t x))) (+ (* t t) (* x (+ t x))))) (*.f64 x (-.f64 (neg.f64 (fma.f64 t (/.f64 t (*.f64 x x)) (/.f64 t x))) (+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 t x) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 t t) (*.f64 x x)) (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 t t)) (*.f64 x x))))))) x)) |
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z x) |
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) |
| Outputs |
|---|
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z x) |
4 calls:
| 38.0ms | t |
| 36.0ms | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 18.0ms | z |
| 16.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.2% | 1 | z |
| 76.2% | 1 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 76.2% | 1 | x |
| 76.2% | 1 | t |
Compiled 34 to 24 computations (29.4% saved)
| Inputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* 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))))) #s(approx (+ (* z (- t x)) x) (-.f64 x (*.f64 x z)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (/ (- (* (* t (* t t)) (+ (* t t) (* x (+ t x)))) (* (+ (* t t) (* x (+ t x))) (* x (* x x)))) (* (+ (* t t) (* x (+ t x))) (+ (* t t) (* x (+ t x)))))) x) (-.f64 x (*.f64 x z)))) |
#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)))) |
(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 x (/.f64 t x) (neg.f64 x)))))) |
(+.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) (fma.f64 x (fma.f64 z (/.f64 t x) (neg.f64 z)) x))) |
(fma.f64 (*.f64 y z) #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) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (/.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 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) #s(approx (- t x) (neg.f64 x))) (*.f64 y (+.f64 t x))))) 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 (+.f64 t x) (*.f64 (-.f64 t x) (+.f64 t x))))))) |
(fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 (-.f64 t x) (*.f64 y (+.f64 t x))) (+.f64 t x)))) y 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) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 t x) (*.f64 (+.f64 t x) (-.f64 t x)))) x)) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x)))))) |
(fma.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (-.f64 (*.f64 (/.f64 x (*.f64 y x)) t) (/.f64 x y)))) 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) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (*.f64 (fma.f64 z (-.f64 t x) x) (-.f64 (*.f64 z (-.f64 t x)) x)) (-.f64 (*.f64 z (-.f64 t x)) x))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (-.f64 (/.f64 (*.f64 t x) (*.f64 y x)) (/.f64 x y)))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (fma.f64 x (/.f64 t (*.f64 x y)) (/.f64 x (neg.f64 y))))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (-.f64 (/.f64 x (/.f64 x t)) x) y))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (/ (- (* (* t (* t t)) (+ (* t t) (* x (+ t x)))) (* (+ (* t t) (* x (+ t x))) (* x (* x x)))) (* (+ (* t t) (* x (+ t x))) (+ (* t t) (* x (+ t x)))))) x) (*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 t (/.f64 z x) z))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 t z)) x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (/ (- (* (* t (* t t)) (+ (* t t) (* x (+ t x)))) (* (+ (* t t) (* x (+ t x))) (* x (* x x)))) (* (+ (* t t) (* x (+ t x))) (+ (* t t) (* x (+ t x)))))) x) (+.f64 x (*.f64 x (+.f64 (neg.f64 (fma.f64 t (/.f64 z x) z)) (/.f64 (*.f64 (*.f64 z t) #s(literal 2 binary64)) x)))))) |
(fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 t x)) (*.f64 (-.f64 t x) (/.f64 (+.f64 t x) y))))) y x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (fma.f64 t t (*.f64 x (+.f64 t x)))) x)) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (fma.f64 (*.f64 t x) (/.f64 #s(literal 1 binary64) (*.f64 y x)) (neg.f64 (/.f64 x y))))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (fma.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) t) (/.f64 x (neg.f64 y))))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 x t))) (/.f64 x (neg.f64 y))))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 t x) (*.f64 (+.f64 t x) (-.f64 t x)))) y)))) |
(fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t (/.f64 y x)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y x))))) y x) |
(fma.f64 (fma.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)))) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (*.f64 (/.f64 (*.f64 (-.f64 t x) (+.f64 t x)) (fma.f64 t (*.f64 t t) (*.f64 x (*.f64 x x)))) (fma.f64 x (-.f64 x t) (*.f64 t t)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (/ (- (* (* t (* t t)) (+ (* t t) (* x (+ t x)))) (* (+ (* t t) (* x (+ t x))) (* x (* x x)))) (* (+ (* t t) (* x (+ t x))) (+ (* t t) (* x (+ t x))))) (fma.f64 t (-.f64 #s(literal 1 binary64) (*.f64 t (+.f64 (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 x x)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 3 binary64) x)))) (neg.f64 x))) x)) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (fma.f64 (neg.f64 x) (/.f64 (*.f64 y x) t) (*.f64 y x)) (*.f64 y (/.f64 (*.f64 y x) t))))))) |
(+.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)))) #s(approx (tanh (/ x y)) (/.f64 x y))))) |
(fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (fma.f64 t (*.f64 t t) (*.f64 x (*.f64 x x))) (-.f64 t x)) (*.f64 (fma.f64 x (-.f64 x t) (*.f64 t t)) (*.f64 y (+.f64 t x)))))) y x) |
(fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 (*.f64 (-.f64 t x) (/.f64 (+.f64 t x) y)) (fma.f64 t (*.f64 t t) (*.f64 x (*.f64 x x)))) (fma.f64 x (-.f64 x t) (*.f64 t t))))) y x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (/ (- (* (* t (* t t)) (+ (* t t) (* x (+ t x)))) (* (+ (* t t) (* x (+ t x))) (* x (* x x)))) (* (+ (* t t) (* x (+ t x))) (+ (* t t) (* x (+ t x))))) (neg.f64 (fma.f64 t (/.f64 (+.f64 (-.f64 x (/.f64 (neg.f64 (fma.f64 x x (fma.f64 (*.f64 x #s(literal -2 binary64)) (+.f64 x (*.f64 x #s(literal -2 binary64))) (*.f64 #s(literal -3 binary64) (*.f64 x x))))) t)) (*.f64 x #s(literal -2 binary64))) (neg.f64 t)) (neg.f64 t)))) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (+.f64 t x))))) z x)) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (fma.f64 x (/.f64 y (neg.f64 x)) (/.f64 (*.f64 y x) t)) (*.f64 (/.f64 (*.f64 y x) t) (/.f64 y (neg.f64 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 #s(literal 1/3 binary64) (*.f64 t (*.f64 t t)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (/.f64 z y) (*.f64 z #s(literal 0 binary64))) y))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (/ (- (* (* t (* t t)) (+ (* t t) (* x (+ t x)))) (* (+ (* t t) (* x (+ t x))) (* x (* x x)))) (* (+ (* t t) (* x (+ t x))) (+ (* t t) (* x (+ t x)))))) x) (fma.f64 x (-.f64 #s(literal 1 binary64) z) (*.f64 t (+.f64 (neg.f64 z) (fma.f64 t (-.f64 (/.f64 z (neg.f64 x)) (fma.f64 z (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 x x)) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 #s(literal 2 binary64) z) x))) (*.f64 #s(literal 2 binary64) z))))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x) (-.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))) (/.f64 #s(literal 1 binary64) (-.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 (+.f64 t x) (*.f64 (/.f64 (*.f64 (-.f64 t x) (+.f64 t x)) (fma.f64 t (*.f64 t t) (*.f64 x (*.f64 x x)))) (fma.f64 x (-.f64 x t) (*.f64 t t)))) (*.f64 y (+.f64 t x))))) y x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (-.f64 (*.f64 (*.f64 t (*.f64 t t)) (fma.f64 t t (*.f64 x (+.f64 t x)))) #s(approx (* (+ (* t t) (* x (+ t x))) (* x (* x x))) (*.f64 (*.f64 t t) (*.f64 x (*.f64 x x))))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (/ (- (* (* t (* t t)) (+ (* t t) (* x (+ t x)))) (* (+ (* t t) (* x (+ t x))) (* x (* x x)))) (* (+ (* t t) (* x (+ t x))) (+ (* t t) (* x (+ t x)))))) x) (fma.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x (-.f64 (/.f64 z t) (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 z (*.f64 #s(literal 2 binary64) z)) t) (/.f64 (*.f64 z (*.f64 #s(literal 3 binary64) (*.f64 t t))) (*.f64 t (*.f64 t t))))) z) (*.f64 z #s(literal -2 binary64)))) (*.f64 t z)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (-.f64 (*.f64 (*.f64 t (*.f64 t t)) (fma.f64 t t (*.f64 x (+.f64 t x)))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (+.f64 t x))))) 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)))) #s(approx (tanh (/ x y)) (/.f64 (-.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) (neg.f64 y)) (neg.f64 y)) x) (neg.f64 y)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (/ (- (* (* t (* t t)) (+ (* t t) (* x (+ t x)))) (* (+ (* t t) (* x (+ t x))) (* x (* x x)))) (* (+ (* t t) (* x (+ t x))) (+ (* t t) (* x (+ t x))))) (*.f64 x (-.f64 (neg.f64 (fma.f64 t (/.f64 t (*.f64 x x)) (/.f64 t x))) (+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 t x) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 t t) (*.f64 x x)) (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 t t)) (*.f64 x x))))))) x)) |
| Outputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (-.f64 x (*.f64 x z)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)) |
5 calls:
| 43.0ms | t |
| 24.0ms | y |
| 16.0ms | z |
| 16.0ms | x |
| 16.0ms | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.3% | 2 | y |
| 60.8% | 1 | x |
| 64.2% | 3 | z |
| 62.9% | 2 | t |
| 60.8% | 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))))) #s(approx (+ (* z (- t x)) x) (-.f64 x (*.f64 x z)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (/ (- (* (* t (* t t)) (+ (* t t) (* x (+ t x)))) (* (+ (* t t) (* x (+ t x))) (* x (* x x)))) (* (+ (* t t) (* x (+ t x))) (+ (* t t) (* x (+ t x)))))) x) (-.f64 x (*.f64 x z)))) |
| 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))))) #s(approx (+ (* z (- t x)) x) (-.f64 x (*.f64 x z)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))) |
5 calls:
| 9.0ms | t |
| 2.0ms | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 2.0ms | z |
| 2.0ms | x |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.2% | 1 | x |
| 56.2% | 3 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 63.7% | 3 | z |
| 50.2% | 1 | t |
| 53.8% | 3 | 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:
| 2.0ms | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 2.0ms | t |
| 2.0ms | y |
| 2.0ms | z |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 30.0% | 1 | x |
| 30.0% | 1 | t |
| 30.0% | 1 | y |
| 30.0% | 1 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 30.0% | 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 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 t))) |
5 calls:
| 36.0ms | y |
| 2.0ms | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 2.0ms | x |
| 1.0ms | z |
| 1.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 25.7% | 3 | t |
| 19.9% | 1 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 24.3% | 3 | x |
| 19.9% | 1 | y |
| 19.9% | 1 | z |
Compiled 39 to 28 computations (28.2% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) |
| Outputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) |
3 calls:
| 1.0ms | t |
| 1.0ms | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 19.9% | 1 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 19.9% | 1 | x |
| 19.9% | 1 | t |
Compiled 29 to 20 computations (31% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 8.0ms | 3.0261554774311615e-65 | 6.062169167418339e-65 |
| 7.0ms | -6.807527721727175e-48 | -3.7451176271266173e-48 |
| 10.0ms | 141× | 0 | valid |
| 0.0ms | 3× | 1 | valid |
Compiled 346 to 208 computations (39.9% saved)
ival-div: 2.0ms (30.4% of total)ival-mult: 2.0ms (30.4% of total)ival-add: 1.0ms (15.2% of total)ival-sub: 1.0ms (15.2% of total)ival-tanh: 1.0ms (15.2% 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 |
|---|---|---|
| 23.0ms | 6.544852588152626e-18 | 3.2276313042971645e-12 |
| 10.0ms | 140× | 0 | valid |
| 1.0ms | 4× | 1 | valid |
Compiled 238 to 145 computations (39.1% saved)
ival-div: 2.0ms (28.5% of total)ival-mult: 2.0ms (28.5% of total)ival-sub: 1.0ms (14.3% of total)ival-tanh: 1.0ms (14.3% of total)ival-add: 1.0ms (14.3% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 2.1321082638492735e-20 | 1.6489080017815193e-15 |
| 10.0ms | -1.2147374126883864e-5 | -2.5203370778100404e-6 |
| 17.0ms | 240× | 0 | valid |
Compiled 382 to 229 computations (40.1% saved)
ival-div: 3.0ms (28.2% of total)ival-mult: 3.0ms (28.2% of total)ival-tanh: 2.0ms (18.8% of total)ival-sub: 1.0ms (9.4% of total)ival-add: 1.0ms (9.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 1.7728012944100851e-177 | 2.7741992950967125e-170 |
| 5.0ms | -9.42558810534848e-24 | -7.136522629801232e-24 |
| 14.0ms | 192× | 0 | valid |
Compiled 286 to 175 computations (38.8% saved)
ival-div: 3.0ms (35.3% of total)ival-mult: 2.0ms (23.5% of total)ival-tanh: 2.0ms (23.5% of total)ival-sub: 1.0ms (11.8% of total)ival-add: 1.0ms (11.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 28× | *-commutative_binary64 |
| 20× | +-commutative_binary64 |
| 20× | sub-neg_binary64 |
| 12× | neg-sub0_binary64 |
| 12× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 74 | 413 |
| 1 | 96 | 413 |
| 2 | 117 | 413 |
| 3 | 129 | 413 |
| 4 | 135 | 413 |
| 5 | 137 | 413 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) z x) |
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) |
(if (<=.f64 t #s(literal -7404770507945427/1645504557321206042154969182557350504982735865633579863348609024 binary64)) (fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z x) (if (<=.f64 t #s(literal 8299976956530825/237142198758023568227473377297792835283496928595231875152809132048206089502588928 binary64)) (fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x) (fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z x))) |
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z x) |
(if (<=.f64 y #s(literal 7301667457314601/324518553658426726783156020576256 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (-.f64 x (*.f64 x z)))) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x))) |
(if (<=.f64 z #s(literal -3246626956972881/590295810358705651712 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 8315787937497185/5070602400912917605986812821504 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (-.f64 x (*.f64 x z)))) #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 t #s(literal -2450033041830757/340282366920938463463374607431768211456 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) (if (<=.f64 t #s(literal 5873961290159191/2175541218577478036232553294038911497542013410209922757424923190068852981190050786259609609278379154099770693575665668158859588967025488852621393833027941793561932885341770625153958412288 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 (fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) y)) z x) |
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 y))) z x) |
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) |
(fma.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) z x) |
(if (<=.f64 t #s(literal -7404770507945427/1645504557321206042154969182557350504982735865633579863348609024 binary64)) (fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z x) (if (<=.f64 t #s(literal 8299976956530825/237142198758023568227473377297792835283496928595231875152809132048206089502588928 binary64)) (fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x) (fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z x))) |
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) y #s(approx (* (neg (tanh (/ x y))) y) (neg.f64 x))) z x) |
(if (<=.f64 y #s(literal 7301667457314601/324518553658426726783156020576256 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (-.f64 x (*.f64 x z)))) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x))) |
(if (<=.f64 z #s(literal -3246626956972881/590295810358705651712 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 8315787937497185/5070602400912917605986812821504 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (-.f64 x (*.f64 x z)))) #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 t #s(literal -2450033041830757/340282366920938463463374607431768211456 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) (if (<=.f64 t #s(literal 5873961290159191/2175541218577478036232553294038911497542013410209922757424923190068852981190050786259609609278379154099770693575665668158859588967025488852621393833027941793561932885341770625153958412288 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))))) |
(if (<=.f64 t #s(literal -2450033041830757/340282366920938463463374607431768211456 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 t z))) (if (<=.f64 t #s(literal 5873961290159191/2175541218577478036232553294038911497542013410209922757424923190068852981190050786259609609278379154099770693575665668158859588967025488852621393833027941793561932885341770625153958412288 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 t z))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 t z))) |
| 14 402× | lower-fma.f64 |
| 14 402× | lower-fma.f32 |
| 13 018× | lower-fma.f64 |
| 13 018× | lower-fma.f32 |
| 8 704× | 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 |
| 0 | 44 | 301 |
| 0 | 74 | 290 |
| 1 | 309 | 290 |
| 2 | 2610 | 290 |
| 0 | 9088 | 287 |
| 0 | 1369 | 33900 |
| 1 | 4591 | 30116 |
| 0 | 9433 | 29271 |
| 0 | 495 | 10076 |
| 1 | 1678 | 7475 |
| 2 | 7001 | 7473 |
| 0 | 8025 | 7285 |
| 0 | 1351 | 33338 |
| 1 | 4521 | 29570 |
| 0 | 9318 | 28725 |
| 0 | 653 | 38446 |
| 1 | 2154 | 28584 |
| 0 | 8598 | 27868 |
| 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× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 603 to 271 computations (55.1% saved)
(abs y)
Compiled 588 to 242 computations (58.8% saved)
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