
Time bar (total: 14.0s)
| 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)
| 993.0ms | 8 051× | 0 | valid |
| 39.0ms | 205× | 1 | valid |
ival-sub: 279.0ms (35.1% of total)ival-mult: 217.0ms (27.3% of total)ival-div: 160.0ms (20.1% of total)ival-tanh: 86.0ms (10.8% of total)ival-add: 38.0ms (4.8% of total)ival-true: 8.0ms (1% of total)adjust: 4.0ms (0.5% of total)ival-assert: 3.0ms (0.4% of total)| 1× | egg-herbie |
| 12 492× | lower-fma.f64 |
| 12 492× | lower-fma.f32 |
| 3 782× | lower-*.f32 |
| 3 778× | lower-*.f64 |
| 2 164× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 76 | 226 |
| 1 | 399 | 224 |
| 2 | 1184 | 210 |
| 3 | 4721 | 210 |
| 0 | 12 | 15 |
| 0 | 20 | 15 |
| 1 | 62 | 15 |
| 2 | 165 | 15 |
| 3 | 427 | 15 |
| 4 | 1658 | 15 |
| 5 | 6383 | 15 |
| 0 | 8408 | 14 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| Outputs |
|---|
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x) |
(abs y)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 19 | 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 | 12 | 0 |
*.f64 | (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) | n*u | 3 | 0 |
*.f64 | (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) | o*u | 2 | 0 |
| ↳ | (*.f64 y z) | overflow | 33 | |
| ↳ | (/.f64 t y) | underflow | 32 | |
| ↳ | (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) | underflow | 53 | |
| ↳ | (tanh.f64 (/.f64 x y)) | underflow | 30 | |
| ↳ | (/.f64 x y) | underflow | 30 | |
| ↳ | (tanh.f64 (/.f64 t y)) | underflow | 32 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 17 | 0 |
| - | 0 | 239 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 17 | 0 | 0 |
| - | 0 | 0 | 239 |
| number | freq |
|---|---|
| 0 | 239 |
| 1 | 17 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 57.0ms | 80× | 2 | valid |
| 40.0ms | 422× | 0 | valid |
| 2.0ms | 10× | 1 | valid |
Compiled 158 to 52 computations (67.1% saved)
ival-div: 10.0ms (28.3% of total)ival-tanh: 8.0ms (22.6% of total)ival-mult: 8.0ms (22.6% of total)adjust: 3.0ms (8.5% of total)ival-sub: 3.0ms (8.5% of total)ival-add: 3.0ms (8.5% of total)ival-true: 1.0ms (2.8% of total)ival-assert: 0.0ms (0% of total)Compiled 4 to 4 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 93.6% | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
Compiled 19 to 12 computations (36.8% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
| ✓ | cost-diff | 0 | (*.f64 y z) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
| ✓ | cost-diff | 128 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 12 492× | lower-fma.f64 |
| 12 492× | lower-fma.f32 |
| 3 782× | lower-*.f32 |
| 3 778× | lower-*.f64 |
| 2 164× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 58 |
| 0 | 20 | 58 |
| 1 | 62 | 58 |
| 2 | 165 | 58 |
| 3 | 427 | 58 |
| 4 | 1658 | 58 |
| 5 | 6383 | 58 |
| 0 | 8408 | 57 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
x |
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
(*.f64 y z) |
y |
z |
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
(tanh.f64 (/.f64 t y)) |
(/.f64 t y) |
t |
(tanh.f64 (/.f64 x y)) |
(/.f64 x y) |
| Outputs |
|---|
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x) |
x |
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
(*.f64 y z) |
y |
z |
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
(tanh.f64 (/.f64 t y)) |
(/.f64 t y) |
t |
(tanh.f64 (/.f64 x y)) |
(/.f64 x y) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| ✓ | accuracy | 100.0% | (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
| ✓ | accuracy | 100.0% | (tanh.f64 (/.f64 x y)) |
| ✓ | accuracy | 93.1% | (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
| 21.0ms | 211× | 0 | valid |
| 9.0ms | 40× | 2 | valid |
| 1.0ms | 5× | 1 | valid |
Compiled 60 to 14 computations (76.7% saved)
ival-div: 5.0ms (29.6% of total)ival-mult: 4.0ms (23.7% of total)ival-tanh: 3.0ms (17.8% of total)adjust: 1.0ms (5.9% of total)ival-sub: 1.0ms (5.9% of total)ival-add: 1.0ms (5.9% 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 x y))> |
| Outputs |
|---|
#<alt (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))> |
#<alt (+ (* x (+ 1 (* -1 z))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))> |
#<alt (+ (* x (+ 1 (+ (* -1 z) (* 1/3 (/ (* (pow x 2) z) (pow y 2)))))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))> |
#<alt (+ (* x (+ 1 (+ (* -1 z) (* (pow x 2) (+ (* -2/15 (/ (* (pow x 2) z) (pow y 4))) (* 1/3 (/ z (pow y 2)))))))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))> |
#<alt x> |
#<alt (* x (+ 1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)))> |
#<alt (* x (+ 1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)))> |
#<alt (* x (+ 1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1)))> |
#<alt x> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* z (- t x)))> |
#<alt (+ x (+ (* z (- t x)) (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y)))> |
#<alt (+ x (+ (* z (- t x)) (+ (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y) (/ (* z (- (+ (* 1/2 (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3))))) (* 1/2 (pow x 3))) (+ (* 1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3))))) (* 1/2 (pow t 3))))) (pow y 2)))))> |
#<alt (+ x (+ (* z (- t x)) (+ (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y) (+ (/ (* z (- (+ (* -1/2 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))))) (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (* 1/2 (+ (* -1 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/6 (pow t 3)))))) (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (* 1/12 (pow t 4)))))))) (+ (* -1/2 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (* -1/2 (pow t 3))))) (+ (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2)))) (* 1/2 (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4)))))))))) (pow y 3)) (/ (* z (- (+ (* 1/2 (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3))))) (* 1/2 (pow x 3))) (+ (* 1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3))))) (* 1/2 (pow t 3))))) (pow y 2))))))> |
#<alt (+ x (* -1 (* z (- (* -1 t) (* -1 x)))))> |
#<alt (+ x (+ (* -1 (* z (- (* -1 t) (* -1 x)))) (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y)))> |
#<alt (+ x (+ (* -1 (* z (- (* -1 t) (* -1 x)))) (* -1 (/ (+ (* -1 (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))))) (/ (* z (- (+ (* -1/2 (pow x 3)) (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))))) (+ (* -1/2 (pow t 3)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))))) y)) y))))> |
#<alt (+ x (+ (* -1 (* z (- (* -1 t) (* -1 x)))) (* -1 (/ (+ (* -1 (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))))) (* -1 (/ (+ (* -1 (* z (- (+ (* -1/2 (pow x 3)) (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))))) (+ (* -1/2 (pow t 3)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))))) (/ (* z (- (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (+ (* 1/2 (* x (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) (* 1/2 (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (+ (* 1/12 (pow t 4)) (* t (+ (* -1/6 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))))))))) (+ (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2)))) (+ (* 1/2 (* t (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))) (* 1/2 (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (+ (* 1/12 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))))))))) y)) y))) y))))> |
#<alt x> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* z (+ (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (/ x z)))> |
#<alt (* z (+ (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (/ x z)))> |
#<alt (* z (+ (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (/ x z)))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* -1 (* z (+ (* -1 (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (* -1 (/ x z)))))> |
#<alt (* -1 (* z (+ (* -1 (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (* -1 (/ x z)))))> |
#<alt (* -1 (* z (+ (* -1 (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (* -1 (/ x z)))))> |
#<alt (+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
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#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))> |
#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))> |
#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))> |
#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))> |
#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))> |
#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))> |
#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))> |
#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))> |
#<alt (/ (- t x) y)> |
#<alt (/ (- (+ t (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y))) (+ x (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)))) y)> |
#<alt (/ (- (+ t (+ (* 1/2 (/ (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3)))) (pow y 2))) (+ (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y)) (* 1/2 (/ (pow x 3) (pow y 2)))))) (+ x (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3)))) (pow y 2))) (+ (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)) (* 1/2 (/ (pow t 3) (pow y 2))))))) y)> |
#<alt (/ (- (+ t (+ (* -1/2 (/ (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (pow y 3))) (+ (* 1/4 (/ (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/6 (pow t 3)))))) (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (* 1/12 (pow t 4))))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3)))) (pow y 2))) (+ (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y)) (* 1/2 (/ (pow x 3) (pow y 2))))))))) (+ x (+ (* -1/2 (/ (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (* -1/2 (pow t 3)))) (pow y 3))) (+ (* 1/4 (/ (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3)))) (pow y 2))) (+ (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)) (* 1/2 (/ (pow t 3) (pow y 2)))))))))) y)> |
#<alt (* -1 (/ (- (* -1 t) (* -1 x)) y))> |
#<alt (* -1 (/ (- (+ (* -1 t) (* -1 (/ (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) (* -1 x)) y))> |
#<alt (* -1 (/ (- (+ (* -1 t) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (pow x 3)) (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))))) (+ (* -1/2 (pow t 3)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))) y)) (* 1/2 (+ (* -1 (pow t 2)) (pow t 2)))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) (* -1 x)) y))> |
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#<alt (- (/ (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 (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ 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)))))))> |
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#<alt (/ x y)> |
#<alt (* x (+ (* -1/3 (/ (pow x 2) (pow y 3))) (/ 1 y)))> |
#<alt (* x (+ (* (pow x 2) (- (* 2/15 (/ (pow x 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y)))> |
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#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))> |
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))> |
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))> |
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))> |
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))> |
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))> |
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))> |
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))> |
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))> |
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))> |
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))> |
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))> |
#<alt (/ x y)> |
#<alt (/ (+ x (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) y)> |
#<alt (/ (- (+ x (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)))) (* 1/2 (/ (pow x 3) (pow y 2)))) y)> |
#<alt (/ (- (+ x (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))))) (+ (* -1/2 (/ (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (pow y 3))) (+ (* 1/4 (/ (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2))) (pow y 3))) (* 1/2 (/ (pow x 3) (pow y 2)))))) y)> |
#<alt (/ x y)> |
#<alt (* -1 (/ (+ (* -1 x) (* -1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) y))> |
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (- (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) (* -1/2 (pow x 3))) y)) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) y))> |
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (+ (* 1/12 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))))) (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (* 1/2 (* x (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))) y)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))) (* -1/2 (pow x 3))) y)) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) y))> |
45 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | t | @ | -inf | (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) |
| 5.0ms | y | @ | inf | (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) |
| 4.0ms | x | @ | 0 | (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) |
| 3.0ms | z | @ | 0 | (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) |
| 3.0ms | y | @ | -inf | (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) |
| 1× | egg-herbie |
| 10 022× | lower-fma.f64 |
| 10 022× | lower-fma.f32 |
| 3 896× | lower-*.f64 |
| 3 896× | lower-*.f32 |
| 3 590× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 447 | 9354 |
| 1 | 1515 | 7627 |
| 2 | 6277 | 7212 |
| 0 | 9374 | 7079 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))) |
(+ (* x (+ 1 (* -1 z))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))) |
(+ (* x (+ 1 (+ (* -1 z) (* 1/3 (/ (* (pow x 2) z) (pow y 2)))))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))) |
(+ (* x (+ 1 (+ (* -1 z) (* (pow x 2) (+ (* -2/15 (/ (* (pow x 2) z) (pow y 4))) (* 1/3 (/ z (pow y 2)))))))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))) |
x |
(* x (+ 1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x))) |
(* x (+ 1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x))) |
(* x (+ 1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x))) |
x |
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
x |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (* z (- t x))) |
(+ x (+ (* z (- t x)) (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y))) |
(+ x (+ (* z (- t x)) (+ (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y) (/ (* z (- (+ (* 1/2 (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3))))) (* 1/2 (pow x 3))) (+ (* 1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3))))) (* 1/2 (pow t 3))))) (pow y 2))))) |
(+ x (+ (* z (- t x)) (+ (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y) (+ (/ (* z (- (+ (* -1/2 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))))) (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (* 1/2 (+ (* -1 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/6 (pow t 3)))))) (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (* 1/12 (pow t 4)))))))) (+ (* -1/2 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (* -1/2 (pow t 3))))) (+ (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2)))) (* 1/2 (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4)))))))))) (pow y 3)) (/ (* z (- (+ (* 1/2 (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3))))) (* 1/2 (pow x 3))) (+ (* 1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3))))) (* 1/2 (pow t 3))))) (pow y 2)))))) |
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(/ (- t x) y) |
(/ (- (+ t (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y))) (+ x (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)))) y) |
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(* -1 (/ (- (* -1 t) (* -1 x)) y)) |
(* -1 (/ (- (+ (* -1 t) (* -1 (/ (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) (* -1 x)) y)) |
(* -1 (/ (- (+ (* -1 t) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (pow x 3)) (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))))) (+ (* -1/2 (pow t 3)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))) y)) (* 1/2 (+ (* -1 (pow t 2)) (pow t 2)))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) (* -1 x)) y)) |
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(- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))) |
(- (+ (* -1 (/ x y)) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))) |
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(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
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(/ x y) |
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(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/ x y) |
(/ (+ x (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) y) |
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(/ (- (+ x (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))))) (+ (* -1/2 (/ (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (pow y 3))) (+ (* 1/4 (/ (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2))) (pow y 3))) (* 1/2 (/ (pow x 3) (pow y 2)))))) y) |
(/ x y) |
(* -1 (/ (+ (* -1 x) (* -1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (- (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) (* -1/2 (pow x 3))) y)) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (+ (* 1/12 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))))) (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (* 1/2 (* x (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))) y)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))) (* -1/2 (pow x 3))) y)) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) y)) |
| Outputs |
|---|
(* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))) |
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(+ (* x (+ 1 (* -1 z))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))) |
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(+ (* x (+ 1 (+ (* -1 z) (* 1/3 (/ (* (pow x 2) z) (pow y 2)))))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))) |
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x |
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(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))))))) |
(/ x y) |
(/.f64 x y) |
(* x (+ (* -1/3 (/ (pow x 2) (pow y 3))) (/ 1 y))) |
(fma.f64 x (/.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 y (*.f64 y y))) (/.f64 x y)) |
(* x (+ (* (pow x 2) (- (* 2/15 (/ (pow x 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) |
(fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (/.f64 #s(literal 2/15 binary64) (pow.f64 y #s(literal 5 binary64)))) (/.f64 #s(literal -1/3 binary64) (*.f64 y (*.f64 y y))))) (/.f64 x y)) |
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -17/315 (/ (pow x 2) (pow y 7))) (* 2/15 (/ 1 (pow y 5))))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) |
(fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 #s(literal -17/315 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 7 binary64))) (/.f64 #s(literal 2/15 binary64) (pow.f64 y #s(literal 5 binary64)))) (/.f64 #s(literal -1/3 binary64) (*.f64 y (*.f64 y y)))) (/.f64 x y)) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) |
(/ x y) |
(/.f64 x y) |
(/ (+ x (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) y) |
(/.f64 x y) |
(/ (- (+ x (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)))) (* 1/2 (/ (pow x 3) (pow y 2)))) y) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y))) x) y) |
(/ (- (+ x (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))))) (+ (* -1/2 (/ (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (pow y 3))) (+ (* 1/4 (/ (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2))) (pow y 3))) (* 1/2 (/ (pow x 3) (pow y 2)))))) y) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y)) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/12 binary64))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)))) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y))) x)) y) |
(/ x y) |
(/.f64 x y) |
(* -1 (/ (+ (* -1 x) (* -1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) y)) |
(/.f64 x y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (- (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) (* -1/2 (pow x 3))) y)) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) y)) |
(neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y)) x) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (+ (* 1/12 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))))) (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (* 1/2 (* x (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))) y)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))) (* -1/2 (pow x 3))) y)) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) y)) |
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/12 binary64))))) y)) y) y) x) (neg.f64 y)) |
| 1× | batch-egg-rewrite |
| 5 094× | lower-*.f32 |
| 5 090× | lower-*.f64 |
| 4 102× | lower-/.f32 |
| 4 098× | lower-/.f64 |
| 2 936× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 44 |
| 0 | 20 | 44 |
| 1 | 99 | 44 |
| 2 | 871 | 44 |
| 0 | 8208 | 43 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
(*.f64 y z) |
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
(tanh.f64 (/.f64 x y)) |
| Outputs |
|---|
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(+.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x) |
(+.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))) |
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(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))))) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)))))) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (/.f64 x y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (/.f64 x y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (/.f64 (exp.f64 (/.f64 x y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (fma.f64 (/.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (/.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (*.f64 (/.f64 (exp.f64 (/.f64 x y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (/.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))) (/.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))))) (fma.f64 (/.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))))) (/.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))))) (/.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 (/.f64 x y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (/.f64 (exp.f64 (/.f64 x y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y))))) (*.f64 (/.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (/.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (/.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))) (/.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))))) (+.f64 (/.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)))))) (*.f64 (/.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))))) (/.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))))) (/.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 x y))) #s(literal -1 binary64)) |
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y))))) |
(*.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 x y))) |
(*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (/.f64 x y)) (cosh.f64 (/.f64 x y)))) |
(*.f64 (expm1.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)))))) |
(*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 (/.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 (/.f64 x y))))) |
(*.f64 (neg.f64 (expm1.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))))))) |
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))))))) |
(tanh.f64 (/.f64 x y)) |
Compiled 20 445 to 1 580 computations (92.3% saved)
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 432 | 10 | 442 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 433 | 10 | 443 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 98.0% | (fma.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y x) |
| 82.0% | (+.f64 x (/.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)) (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))))) | |
| ▶ | 66.1% | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) |
| 40.2% | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y)) x) y)))))) | |
| ▶ | 47.7% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) |
| 21.5% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 (/.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)))) y) y) (-.f64 x t)) (neg.f64 y))))) | |
| 62.0% | (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 z (-.f64 t x)))) | |
| ▶ | 23.2% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))))) (/.f64 z (*.f64 y y)) x))) |
| ▶ | 62.0% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)) |
| 25.1% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (-.f64 (fma.f64 z (-.f64 t x) x) (/.f64 (fma.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)))) (/.f64 z y) #s(literal 0 binary64)) y))) |
Compiled 558 to 298 computations (46.6% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) |
| ✓ | cost-diff | 0 | (*.f64 y z) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) |
| ✓ | cost-diff | 128 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) |
| ✓ | cost-diff | 0 | (-.f64 t x) |
| ✓ | cost-diff | 0 | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))))) (/.f64 z (*.f64 y y)) x))) |
| ✓ | cost-diff | 320 | (fma.f64 z (-.f64 t x) (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))))) (/.f64 z (*.f64 y y)) x)) |
| ✓ | cost-diff | 1536 | (-.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))))) |
| ✓ | cost-diff | 0 | #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) |
| ✓ | cost-diff | 0 | (*.f64 y z) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) |
| ✓ | cost-diff | 128 | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) |
| ✓ | cost-diff | 0 | (-.f64 t x) |
| ✓ | cost-diff | 0 | (fma.f64 z (-.f64 t x) x) |
| ✓ | cost-diff | 0 | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)) |
| ✓ | cost-diff | 0 | (tanh.f64 (/.f64 t y)) |
| ✓ | cost-diff | 0 | (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
| ✓ | cost-diff | 0 | (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y x) |
| 11 652× | lower-fma.f32 |
| 11 640× | lower-fma.f64 |
| 4 568× | lower-*.f32 |
| 4 546× | lower-*.f64 |
| 2 652× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 474 |
| 0 | 82 | 432 |
| 1 | 175 | 432 |
| 2 | 406 | 432 |
| 3 | 1171 | 392 |
| 4 | 4623 | 392 |
| 0 | 8531 | 379 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y x) |
(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
z |
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
(tanh.f64 (/.f64 t y)) |
(/.f64 t y) |
t |
y |
(tanh.f64 (/.f64 x y)) |
(/.f64 x y) |
x |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)) |
(fma.f64 z (-.f64 t x) x) |
z |
(-.f64 t x) |
t |
x |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) |
x |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) |
(*.f64 y z) |
y |
z |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) |
(/.f64 (-.f64 t x) y) |
(-.f64 t x) |
t |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))))) (/.f64 z (*.f64 y y)) x))) |
(fma.f64 z (-.f64 t x) (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))))) (/.f64 z (*.f64 y y)) x)) |
z |
(-.f64 t x) |
t |
x |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))))) (/.f64 z (*.f64 y y)) x) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))))) |
#s(literal 1/2 binary64) |
(-.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))))) |
(fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 t t) #s(literal 1/3 binary64)) |
(*.f64 t t) |
#s(literal 1/3 binary64) |
(*.f64 x (*.f64 x x)) |
(*.f64 x x) |
(fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) |
(/.f64 z (*.f64 y y)) |
(*.f64 y y) |
y |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) |
x |
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) |
(*.f64 y z) |
y |
z |
(-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) |
(tanh.f64 (/.f64 t y)) |
(/.f64 t y) |
t |
#s(approx (tanh (/ x y)) (/.f64 x y)) |
(/.f64 x y) |
| Outputs |
|---|
(fma.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y x) |
(fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x) |
(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
z |
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
(tanh.f64 (/.f64 t y)) |
(/.f64 t y) |
t |
y |
(tanh.f64 (/.f64 x y)) |
(/.f64 x y) |
x |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)) |
(fma.f64 z (-.f64 t x) x) |
z |
(-.f64 t x) |
t |
x |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) |
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x) |
x |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) |
(*.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) |
(*.f64 y z) |
(*.f64 z y) |
y |
z |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) |
(/.f64 (-.f64 t x) y) |
(-.f64 t x) |
t |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))))) (/.f64 z (*.f64 y y)) x))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (fma.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal -2/3 binary64)) (*.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (-.f64 t x)) x)) |
(fma.f64 z (-.f64 t x) (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))))) (/.f64 z (*.f64 y y)) x)) |
(fma.f64 z (fma.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal -2/3 binary64)) (*.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (-.f64 t x)) x) |
z |
(-.f64 t x) |
t |
x |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))))) (/.f64 z (*.f64 y y)) x) |
(fma.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal -2/3 binary64)) (*.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x x)))) (/.f64 (*.f64 z #s(literal 1/2 binary64)) (*.f64 y y)) x) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 t (*.f64 (*.f64 t t) #s(literal -2/3 binary64)) (*.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x x))))) |
#s(literal 1/2 binary64) |
(-.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))))) |
(fma.f64 t (*.f64 (*.f64 t t) #s(literal -2/3 binary64)) (*.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x x)))) |
(fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))) |
(fma.f64 t (*.f64 t (*.f64 t #s(literal 1/3 binary64))) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 t t) #s(literal 1/3 binary64)) |
(*.f64 t (*.f64 t #s(literal 1/3 binary64))) |
(*.f64 t t) |
#s(literal 1/3 binary64) |
(*.f64 x (*.f64 x x)) |
(*.f64 x x) |
(fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal 1/3 binary64))) (*.f64 t (*.f64 t t))) |
(*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/3 binary64)))) |
(/.f64 z (*.f64 y y)) |
(*.f64 y y) |
y |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) |
(fma.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) x) |
x |
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) |
(*.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) |
(*.f64 y z) |
(*.f64 z y) |
y |
z |
(-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) |
(tanh.f64 (/.f64 t y)) |
(/.f64 t y) |
t |
#s(approx (tanh (/ x y)) (/.f64 x y)) |
(/.f64 x y) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) |
| ✓ | accuracy | 100.0% | (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) |
| ✓ | accuracy | 93.1% | (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) |
| ✓ | accuracy | 52.6% | #s(approx (tanh (/ x y)) (/.f64 x y)) |
| ✓ | accuracy | 89.0% | (/.f64 z (*.f64 y y)) |
| ✓ | accuracy | 82.6% | (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))))) (/.f64 z (*.f64 y y)) x) |
| ✓ | accuracy | 47.8% | (-.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))))) |
| ✓ | accuracy | 37.5% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))))) (/.f64 z (*.f64 y y)) x))) |
| ✓ | accuracy | 100.0% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) |
| ✓ | accuracy | 100.0% | (/.f64 (-.f64 t x) y) |
| ✓ | accuracy | 93.1% | (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) |
| ✓ | accuracy | 35.5% | #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) |
| ✓ | accuracy | 100.0% | (fma.f64 z (-.f64 t x) x) |
| ✓ | accuracy | 100.0% | (-.f64 t x) |
| ✓ | accuracy | 62.0% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)) |
| ✓ | accuracy | 100.0% | (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
| ✓ | accuracy | 100.0% | (tanh.f64 (/.f64 x y)) |
| ✓ | accuracy | 99.2% | (fma.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y x) |
| ✓ | accuracy | 98.8% | (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
| 63.0ms | 211× | 0 | valid |
| 57.0ms | 41× | 2 | valid |
| 9.0ms | 4× | 3 | valid |
Compiled 410 to 39 computations (90.5% saved)
ival-mult: 44.0ms (50.9% of total)ival-sub: 10.0ms (11.6% of total)ival-div: 9.0ms (10.4% of total)ival-add: 9.0ms (10.4% of total)adjust: 6.0ms (6.9% of total)const: 5.0ms (5.8% of total)ival-tanh: 3.0ms (3.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (fma.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y x)> |
#<alt (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))> |
#<alt (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))> |
#<alt (tanh.f64 (/.f64 t y))> |
#<alt #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x))> |
#<alt (fma.f64 z (-.f64 t x) x)> |
#<alt (-.f64 t x)> |
#<alt (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))> |
#<alt (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))> |
#<alt (*.f64 y z)> |
#<alt #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))> |
#<alt (-.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))))> |
#<alt (fma.f64 z (-.f64 t x) (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))))) (/.f64 z (*.f64 y y)) x))> |
#<alt #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))))) (/.f64 z (*.f64 y y)) x)))> |
#<alt (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))))> |
#<alt (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))> |
#<alt (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))> |
#<alt (tanh.f64 (/.f64 x y))> |
#<alt (/.f64 (-.f64 t x) y)> |
#<alt (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))))) (/.f64 z (*.f64 y y)) x)> |
#<alt (/.f64 z (*.f64 y y))> |
#<alt #s(approx (tanh (/ x y)) (/.f64 x y))> |
| Outputs |
|---|
#<alt x> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* z (+ (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (/ x z)))> |
#<alt (* z (+ (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (/ x z)))> |
#<alt (* z (+ (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (/ x z)))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* -1 (* z (+ (* -1 (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (* -1 (/ x z)))))> |
#<alt (* -1 (* z (+ (* -1 (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (* -1 (/ x z)))))> |
#<alt (* -1 (* z (+ (* -1 (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (* -1 (/ x z)))))> |
#<alt (+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt x> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* z (- t x)))> |
#<alt (+ x (+ (* z (- t x)) (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y)))> |
#<alt (+ x (+ (* z (- t x)) (+ (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y) (/ (* z (- (+ (* 1/2 (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3))))) (* 1/2 (pow x 3))) (+ (* 1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3))))) (* 1/2 (pow t 3))))) (pow y 2)))))> |
#<alt (+ x (+ (* z (- t x)) (+ (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y) (+ (/ (* z (- (+ (* -1/2 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))))) (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (* 1/2 (+ (* -1 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/6 (pow t 3)))))) (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (* 1/12 (pow t 4)))))))) (+ (* -1/2 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (* -1/2 (pow t 3))))) (+ (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2)))) (* 1/2 (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4)))))))))) (pow y 3)) (/ (* z (- (+ (* 1/2 (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3))))) (* 1/2 (pow x 3))) (+ (* 1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3))))) (* 1/2 (pow t 3))))) (pow y 2))))))> |
#<alt (+ x (* -1 (* z (- (* -1 t) (* -1 x)))))> |
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#<alt x> |
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#<alt x> |
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#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
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#<alt (* -1 (* z (+ (* -1 (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (* -1 (/ x z)))))> |
#<alt (+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
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#<alt (+ x (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
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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> |
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#<alt x> |
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#<alt x> |
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#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
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#<alt (+ x (* -1 (* z (- (* -1 t) (* -1 x)))))> |
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#<alt x> |
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#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
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#<alt (* -1 (* (pow t 3) (+ (* -1 (/ (+ x (* 1/2 (/ (* z (- (pow x 3) (* 1/3 (pow x 3)))) (pow y 2)))) (pow t 3))) (* 1/3 (/ z (pow y 2))))))> |
#<alt (* -1 (* (pow t 3) (+ (* -1 (/ (+ x (* 1/2 (/ (* z (- (pow x 3) (* 1/3 (pow x 3)))) (pow y 2)))) (pow t 3))) (* 1/3 (/ z (pow y 2))))))> |
#<alt (* -1 (* (pow t 3) (+ (* -1 (/ (+ x (* 1/2 (/ (* z (- (pow x 3) (* 1/3 (pow x 3)))) (pow y 2)))) (pow t 3))) (* 1/3 (/ z (pow y 2))))))> |
#<alt (* 1/2 (/ (* z (- (* 1/3 (pow t 3)) (pow t 3))) (pow y 2)))> |
#<alt (+ x (* 1/2 (/ (* z (- (* 1/3 (pow t 3)) (pow t 3))) (pow y 2))))> |
#<alt (+ (* 1/2 (/ (* z (- (* 1/3 (pow t 3)) (pow t 3))) (pow y 2))) (* x (+ 1 (* 1/3 (/ (* (pow x 2) z) (pow y 2))))))> |
#<alt (+ (* 1/2 (/ (* z (- (* 1/3 (pow t 3)) (pow t 3))) (pow y 2))) (* x (+ 1 (* 1/3 (/ (* (pow x 2) z) (pow y 2))))))> |
#<alt (* 1/3 (/ (* (pow x 3) z) (pow y 2)))> |
#<alt (* (pow x 3) (+ (* 1/3 (/ z (pow y 2))) (/ 1 (pow x 2))))> |
#<alt (* (pow x 3) (+ (* 1/3 (/ z (pow y 2))) (+ (* 1/2 (/ (* z (- (* 1/3 (pow t 3)) (pow t 3))) (* (pow x 3) (pow y 2)))) (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ (* 1/3 (/ z (pow y 2))) (+ (* 1/2 (/ (* z (- (* 1/3 (pow t 3)) (pow t 3))) (* (pow x 3) (pow y 2)))) (/ 1 (pow x 2)))))> |
#<alt (* 1/3 (/ (* (pow x 3) z) (pow y 2)))> |
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#<alt (* -1 (* (pow x 3) (- (+ (* -1/2 (/ (* z (- (* 1/3 (pow t 3)) (pow t 3))) (* (pow x 3) (pow y 2)))) (* -1/3 (/ z (pow y 2)))) (/ 1 (pow x 2)))))> |
#<alt x> |
#<alt (+ x (* 1/2 (/ (* z (- (+ (* 1/3 (pow t 3)) (pow x 3)) (+ (* 1/3 (pow x 3)) (pow t 3)))) (pow y 2))))> |
#<alt (+ x (* 1/2 (/ (* z (- (+ (* 1/3 (pow t 3)) (pow x 3)) (+ (* 1/3 (pow x 3)) (pow t 3)))) (pow y 2))))> |
#<alt (+ x (* 1/2 (/ (* z (- (+ (* 1/3 (pow t 3)) (pow x 3)) (+ (* 1/3 (pow x 3)) (pow t 3)))) (pow y 2))))> |
#<alt (* 1/2 (/ (* z (- (+ (* 1/3 (pow t 3)) (pow x 3)) (+ (* 1/3 (pow x 3)) (pow t 3)))) (pow y 2)))> |
#<alt (* z (+ (* 1/2 (/ (- (+ (* 1/3 (pow t 3)) (pow x 3)) (+ (* 1/3 (pow x 3)) (pow t 3))) (pow y 2))) (/ x z)))> |
#<alt (* z (+ (* 1/2 (/ (- (+ (* 1/3 (pow t 3)) (pow x 3)) (+ (* 1/3 (pow x 3)) (pow t 3))) (pow y 2))) (/ x z)))> |
#<alt (* z (+ (* 1/2 (/ (- (+ (* 1/3 (pow t 3)) (pow x 3)) (+ (* 1/3 (pow x 3)) (pow t 3))) (pow y 2))) (/ x z)))> |
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#<alt (* -1 (* z (+ (* -1 (/ x z)) (* -1/2 (/ (- (+ (* 1/3 (pow t 3)) (pow x 3)) (+ (* 1/3 (pow x 3)) (pow t 3))) (pow y 2))))))> |
#<alt (* -1 (* z (+ (* -1 (/ x z)) (* -1/2 (/ (- (+ (* 1/3 (pow t 3)) (pow x 3)) (+ (* 1/3 (pow x 3)) (pow t 3))) (pow y 2))))))> |
#<alt (* 1/2 (/ (* z (- (+ (* 1/3 (pow t 3)) (pow x 3)) (+ (* 1/3 (pow x 3)) (pow t 3)))) (pow y 2)))> |
#<alt (/ (+ (* 1/2 (* z (- (+ (* 1/3 (pow t 3)) (pow x 3)) (+ (* 1/3 (pow x 3)) (pow t 3))))) (* x (pow y 2))) (pow y 2))> |
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#<alt x> |
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#<alt (+ x (* 1/2 (/ (* z (- (+ (* 1/3 (pow t 3)) (pow x 3)) (+ (* 1/3 (pow x 3)) (pow t 3)))) (pow y 2))))> |
#<alt (+ x (* 1/2 (/ (* z (- (+ (* 1/3 (pow t 3)) (pow x 3)) (+ (* 1/3 (pow x 3)) (pow t 3)))) (pow y 2))))> |
#<alt x> |
#<alt (+ x (* 1/2 (/ (* z (- (+ (* 1/3 (pow t 3)) (pow x 3)) (+ (* 1/3 (pow x 3)) (pow t 3)))) (pow y 2))))> |
#<alt (+ x (* 1/2 (/ (* z (- (+ (* 1/3 (pow t 3)) (pow x 3)) (+ (* 1/3 (pow x 3)) (pow t 3)))) (pow y 2))))> |
#<alt (+ x (* 1/2 (/ (* z (- (+ (* 1/3 (pow t 3)) (pow x 3)) (+ (* 1/3 (pow x 3)) (pow t 3)))) (pow y 2))))> |
#<alt (/ z (pow y 2))> |
#<alt (/ z (pow y 2))> |
#<alt (/ z (pow y 2))> |
#<alt (/ z (pow y 2))> |
#<alt (/ z (pow y 2))> |
#<alt (/ z (pow y 2))> |
#<alt (/ z (pow y 2))> |
#<alt (/ z (pow y 2))> |
#<alt (/ z (pow y 2))> |
#<alt (/ z (pow y 2))> |
#<alt (/ z (pow y 2))> |
#<alt (/ z (pow y 2))> |
#<alt (/ z (pow y 2))> |
#<alt (/ z (pow y 2))> |
#<alt (/ z (pow y 2))> |
#<alt (/ z (pow y 2))> |
#<alt (/ z (pow y 2))> |
#<alt (/ z (pow y 2))> |
#<alt (/ z (pow y 2))> |
#<alt (/ z (pow y 2))> |
#<alt (/ z (pow y 2))> |
#<alt (/ z (pow y 2))> |
#<alt (/ z (pow y 2))> |
#<alt (/ z (pow y 2))> |
#<alt (/ x y)> |
#<alt (* x (+ (* -1/3 (/ (pow x 2) (pow y 3))) (/ 1 y)))> |
#<alt (* x (+ (* (pow x 2) (- (* 2/15 (/ (pow x 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y)))> |
#<alt (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -17/315 (/ (pow x 2) (pow y 7))) (* 2/15 (/ 1 (pow y 5))))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y)))> |
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))> |
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))> |
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))> |
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))> |
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))> |
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))> |
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))> |
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))> |
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))> |
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))> |
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))> |
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))> |
#<alt (/ x y)> |
#<alt (/ (+ x (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) y)> |
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#<alt (/ (- (+ x (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))))) (+ (* -1/2 (/ (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (pow y 3))) (+ (* 1/4 (/ (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2))) (pow y 3))) (* 1/2 (/ (pow x 3) (pow y 2)))))) y)> |
#<alt (/ x y)> |
#<alt (* -1 (/ (+ (* -1 x) (* -1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) y))> |
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (- (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) (* -1/2 (pow x 3))) y)) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) y))> |
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (+ (* 1/12 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))))) (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (* 1/2 (* x (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))) y)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))) (* -1/2 (pow x 3))) y)) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) y))> |
207 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | x | @ | 0 | (+ (* z (- t x)) (+ (* (* 1/2 (- (+ (* t (* (* t t) 1/3)) (* x (* x x))) (+ (* t (* t t)) (* 1/3 (* x (* x x)))))) (/ z (* y y))) x)) |
| 5.0ms | y | @ | 0 | (tanh (/ t y)) |
| 2.0ms | z | @ | inf | (/ z (* y y)) |
| 1.0ms | y | @ | 0 | (+ (* z (- t x)) (+ (* (* 1/2 (- (+ (* t (* (* t t) 1/3)) (* x (* x x))) (+ (* t (* t t)) (* 1/3 (* x (* x x)))))) (/ z (* y y))) x)) |
| 1.0ms | z | @ | 0 | (+ (* z (- t x)) (+ (* (* 1/2 (- (+ (* t (* (* t t) 1/3)) (* x (* x x))) (+ (* t (* t t)) (* 1/3 (* x (* x x)))))) (/ z (* y y))) x)) |
| 1× | egg-herbie |
| 16 158× | lower-fma.f64 |
| 16 158× | lower-fma.f32 |
| 6 306× | lower-*.f64 |
| 6 306× | lower-*.f32 |
| 5 778× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 788 | 38152 |
| 1 | 2620 | 28893 |
| 0 | 9465 | 28107 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* z (+ (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (/ x z))) |
(* z (+ (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (/ x z))) |
(* z (+ (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (/ x z))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* -1 (* z (+ (* -1 (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (* -1 (/ x z))))) |
(+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
x |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (* z (- t x))) |
(+ x (+ (* z (- t x)) (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y))) |
(+ x (+ (* z (- t x)) (+ (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y) (/ (* z (- (+ (* 1/2 (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3))))) (* 1/2 (pow x 3))) (+ (* 1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3))))) (* 1/2 (pow t 3))))) (pow y 2))))) |
(+ x (+ (* z (- t x)) (+ (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y) (+ (/ (* z (- (+ (* -1/2 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))))) (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (* 1/2 (+ (* -1 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/6 (pow t 3)))))) (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (* 1/12 (pow t 4)))))))) (+ (* -1/2 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (* -1/2 (pow t 3))))) (+ (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2)))) (* 1/2 (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4)))))))))) (pow y 3)) (/ (* z (- (+ (* 1/2 (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3))))) (* 1/2 (pow x 3))) (+ (* 1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3))))) (* 1/2 (pow t 3))))) (pow y 2)))))) |
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(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/ x y) |
(/ (+ x (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) y) |
(/ (- (+ x (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)))) (* 1/2 (/ (pow x 3) (pow y 2)))) y) |
(/ (- (+ x (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))))) (+ (* -1/2 (/ (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (pow y 3))) (+ (* 1/4 (/ (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2))) (pow y 3))) (* 1/2 (/ (pow x 3) (pow y 2)))))) y) |
(/ x y) |
(* -1 (/ (+ (* -1 x) (* -1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (- (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) (* -1/2 (pow x 3))) y)) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (+ (* 1/12 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))))) (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (* 1/2 (* x (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))) y)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))) (* -1/2 (pow x 3))) y)) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) y)) |
| Outputs |
|---|
x |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))))) (*.f64 y z) x) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))))) (*.f64 y z) x) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(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) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))))) (*.f64 y z)) |
(* z (+ (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (/ x z))) |
(*.f64 z (fma.f64 y (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))))) (/.f64 x z))) |
(* z (+ (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (/ x z))) |
(*.f64 z (fma.f64 y (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))))) (/.f64 x z))) |
(* z (+ (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (/ x z))) |
(*.f64 z (fma.f64 y (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))))) (/.f64 x z))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 (* z (+ (* -1 (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (* -1 (/ x z))))) |
(*.f64 (neg.f64 (fma.f64 y (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))))) (/.f64 x z))) (neg.f64 z)) |
(* -1 (* z (+ (* -1 (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (* -1 (/ x z))))) |
(*.f64 (neg.f64 (fma.f64 y (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))))) (/.f64 x z))) (neg.f64 z)) |
(* -1 (* z (+ (* -1 (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (* -1 (/ x z))))) |
(*.f64 (neg.f64 (fma.f64 y (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))))) (/.f64 x z))) (neg.f64 z)) |
(+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(fma.f64 y (*.f64 z (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))))) x) |
(+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(fma.f64 y (*.f64 z (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))))) (fma.f64 z t x)) |
(+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(fma.f64 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 (*.f64 #s(literal -1/3 binary64) 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 #s(literal 2/15 binary64) (*.f64 t t)) (/.f64 z (pow.f64 y #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal -1/3 binary64) z) (*.f64 y y))) z) x)) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))))) (*.f64 y z) x) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))))) (*.f64 y z) x) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))))) (*.f64 y z) x) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))))) (*.f64 y z) x) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))))) (*.f64 y z) x) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))))) (*.f64 y z) x) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))))) (*.f64 y z) x) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))))) (*.f64 y z) x) |
x |
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(*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 2/3 binary64) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) (*.f64 t (*.f64 t t))) (*.f64 y y)) (/.f64 x z))) |
(* 1/2 (/ (* z (- (+ (* 1/3 (pow t 3)) (pow x 3)) (+ (* 1/3 (pow x 3)) (pow t 3)))) (pow y 2))) |
(/.f64 (*.f64 (-.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 2/3 binary64) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) (*.f64 t (*.f64 t t))) (*.f64 z #s(literal 1/2 binary64))) (*.f64 y y)) |
(* -1 (* z (+ (* -1 (/ x z)) (* -1/2 (/ (- (+ (* 1/3 (pow t 3)) (pow x 3)) (+ (* 1/3 (pow x 3)) (pow t 3))) (pow y 2)))))) |
(*.f64 (neg.f64 z) (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 2/3 binary64) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) (*.f64 t (*.f64 t t))) (*.f64 y y)) (/.f64 x (neg.f64 z)))) |
(* -1 (* z (+ (* -1 (/ x z)) (* -1/2 (/ (- (+ (* 1/3 (pow t 3)) (pow x 3)) (+ (* 1/3 (pow x 3)) (pow t 3))) (pow y 2)))))) |
(*.f64 (neg.f64 z) (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 2/3 binary64) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) (*.f64 t (*.f64 t t))) (*.f64 y y)) (/.f64 x (neg.f64 z)))) |
(* -1 (* z (+ (* -1 (/ x z)) (* -1/2 (/ (- (+ (* 1/3 (pow t 3)) (pow x 3)) (+ (* 1/3 (pow x 3)) (pow t 3))) (pow y 2)))))) |
(*.f64 (neg.f64 z) (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 2/3 binary64) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) (*.f64 t (*.f64 t t))) (*.f64 y y)) (/.f64 x (neg.f64 z)))) |
(* 1/2 (/ (* z (- (+ (* 1/3 (pow t 3)) (pow x 3)) (+ (* 1/3 (pow x 3)) (pow t 3)))) (pow y 2))) |
(/.f64 (*.f64 (-.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 2/3 binary64) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) (*.f64 t (*.f64 t t))) (*.f64 z #s(literal 1/2 binary64))) (*.f64 y y)) |
(/ (+ (* 1/2 (* z (- (+ (* 1/3 (pow t 3)) (pow x 3)) (+ (* 1/3 (pow x 3)) (pow t 3))))) (* x (pow y 2))) (pow y 2)) |
(/.f64 (fma.f64 x (*.f64 y y) (*.f64 (-.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 2/3 binary64) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) (*.f64 t (*.f64 t t))) (*.f64 z #s(literal 1/2 binary64)))) (*.f64 y y)) |
(/ (+ (* 1/2 (* z (- (+ (* 1/3 (pow t 3)) (pow x 3)) (+ (* 1/3 (pow x 3)) (pow t 3))))) (* x (pow y 2))) (pow y 2)) |
(/.f64 (fma.f64 x (*.f64 y y) (*.f64 (-.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 2/3 binary64) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) (*.f64 t (*.f64 t t))) (*.f64 z #s(literal 1/2 binary64)))) (*.f64 y y)) |
(/ (+ (* 1/2 (* z (- (+ (* 1/3 (pow t 3)) (pow x 3)) (+ (* 1/3 (pow x 3)) (pow t 3))))) (* x (pow y 2))) (pow y 2)) |
(/.f64 (fma.f64 x (*.f64 y y) (*.f64 (-.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 2/3 binary64) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) (*.f64 t (*.f64 t t))) (*.f64 z #s(literal 1/2 binary64)))) (*.f64 y y)) |
x |
(+ x (* 1/2 (/ (* z (- (+ (* 1/3 (pow t 3)) (pow x 3)) (+ (* 1/3 (pow x 3)) (pow t 3)))) (pow y 2)))) |
(fma.f64 z (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 2/3 binary64) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) (*.f64 t (*.f64 t t)))) (*.f64 y y)) x) |
(+ x (* 1/2 (/ (* z (- (+ (* 1/3 (pow t 3)) (pow x 3)) (+ (* 1/3 (pow x 3)) (pow t 3)))) (pow y 2)))) |
(fma.f64 z (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 2/3 binary64) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) (*.f64 t (*.f64 t t)))) (*.f64 y y)) x) |
(+ x (* 1/2 (/ (* z (- (+ (* 1/3 (pow t 3)) (pow x 3)) (+ (* 1/3 (pow x 3)) (pow t 3)))) (pow y 2)))) |
(fma.f64 z (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 2/3 binary64) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) (*.f64 t (*.f64 t t)))) (*.f64 y y)) x) |
x |
(+ x (* 1/2 (/ (* z (- (+ (* 1/3 (pow t 3)) (pow x 3)) (+ (* 1/3 (pow x 3)) (pow t 3)))) (pow y 2)))) |
(fma.f64 z (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 2/3 binary64) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) (*.f64 t (*.f64 t t)))) (*.f64 y y)) x) |
(+ x (* 1/2 (/ (* z (- (+ (* 1/3 (pow t 3)) (pow x 3)) (+ (* 1/3 (pow x 3)) (pow t 3)))) (pow y 2)))) |
(fma.f64 z (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 2/3 binary64) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) (*.f64 t (*.f64 t t)))) (*.f64 y y)) x) |
(+ x (* 1/2 (/ (* z (- (+ (* 1/3 (pow t 3)) (pow x 3)) (+ (* 1/3 (pow x 3)) (pow t 3)))) (pow y 2)))) |
(fma.f64 z (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 2/3 binary64) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) (*.f64 t (*.f64 t t)))) (*.f64 y y)) x) |
(/ z (pow y 2)) |
(/.f64 z (*.f64 y y)) |
(/ z (pow y 2)) |
(/.f64 z (*.f64 y y)) |
(/ z (pow y 2)) |
(/.f64 z (*.f64 y y)) |
(/ z (pow y 2)) |
(/.f64 z (*.f64 y y)) |
(/ z (pow y 2)) |
(/.f64 z (*.f64 y y)) |
(/ z (pow y 2)) |
(/.f64 z (*.f64 y y)) |
(/ z (pow y 2)) |
(/.f64 z (*.f64 y y)) |
(/ z (pow y 2)) |
(/.f64 z (*.f64 y y)) |
(/ z (pow y 2)) |
(/.f64 z (*.f64 y y)) |
(/ z (pow y 2)) |
(/.f64 z (*.f64 y y)) |
(/ z (pow y 2)) |
(/.f64 z (*.f64 y y)) |
(/ z (pow y 2)) |
(/.f64 z (*.f64 y y)) |
(/ z (pow y 2)) |
(/.f64 z (*.f64 y y)) |
(/ z (pow y 2)) |
(/.f64 z (*.f64 y y)) |
(/ z (pow y 2)) |
(/.f64 z (*.f64 y y)) |
(/ z (pow y 2)) |
(/.f64 z (*.f64 y y)) |
(/ z (pow y 2)) |
(/.f64 z (*.f64 y y)) |
(/ z (pow y 2)) |
(/.f64 z (*.f64 y y)) |
(/ z (pow y 2)) |
(/.f64 z (*.f64 y y)) |
(/ z (pow y 2)) |
(/.f64 z (*.f64 y y)) |
(/ z (pow y 2)) |
(/.f64 z (*.f64 y y)) |
(/ z (pow y 2)) |
(/.f64 z (*.f64 y y)) |
(/ z (pow y 2)) |
(/.f64 z (*.f64 y y)) |
(/ z (pow y 2)) |
(/.f64 z (*.f64 y y)) |
(/ x y) |
(/.f64 x y) |
(* x (+ (* -1/3 (/ (pow x 2) (pow y 3))) (/ 1 y))) |
(*.f64 x (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) y))) |
(* x (+ (* (pow x 2) (- (* 2/15 (/ (pow x 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 #s(literal 2/15 binary64) (/.f64 (*.f64 x x) (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 (+ (* (pow x 2) (- (* (pow x 2) (+ (* -17/315 (/ (pow x 2) (pow y 7))) (* 2/15 (/ 1 (pow y 5))))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 #s(literal -17/315 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 7 binary64))) (/.f64 #s(literal 2/15 binary64) (pow.f64 y #s(literal 5 binary64)))) (/.f64 #s(literal -1/3 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) y))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) |
(/ x y) |
(/.f64 x y) |
(/ (+ x (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) y) |
(/.f64 (+.f64 x (/.f64 #s(literal 0 binary64) y)) y) |
(/ (- (+ x (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)))) (* 1/2 (/ (pow x 3) (pow y 2)))) y) |
(/.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) (*.f64 y y)) (/.f64 #s(literal 0 binary64) y)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y))))) y) |
(/ (- (+ x (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))))) (+ (* -1/2 (/ (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (pow y 3))) (+ (* 1/4 (/ (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2))) (pow y 3))) (* 1/2 (/ (pow x 3) (pow y 2)))))) y) |
(/.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) x) #s(literal -1/2 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/12 binary64))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)))) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) (*.f64 y y))) (/.f64 #s(literal 0 binary64) y)) (-.f64 x (fma.f64 x (*.f64 (/.f64 (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 x (*.f64 (*.f64 #s(literal -1/2 binary64) x) x))) (*.f64 y (*.f64 y y))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y)) (/.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))))))) y) |
(/ x y) |
(/.f64 x y) |
(* -1 (/ (+ (* -1 x) (* -1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) y)) |
(/.f64 (+.f64 x (/.f64 #s(literal 0 binary64) y)) y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (- (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) (* -1/2 (pow x 3))) y)) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) y)) |
(/.f64 (-.f64 (neg.f64 x) (/.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) y) y)) (neg.f64 y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (+ (* 1/12 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))))) (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (* 1/2 (* x (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))) y)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))) (* -1/2 (pow x 3))) y)) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) y)) |
(/.f64 (-.f64 (neg.f64 x) (/.f64 (/.f64 (+.f64 (/.f64 (-.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal -1/2 binary64) x) x)) #s(literal -1/4 binary64) (*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/12 binary64))) #s(literal 1/2 binary64))) (fma.f64 (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 x (*.f64 (*.f64 #s(literal -1/2 binary64) x) x))) (*.f64 x #s(literal 1/2 binary64)) #s(literal 0 binary64))) (neg.f64 y)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64)))) (neg.f64 y)) y)) (neg.f64 y)) |
| 1× | batch-egg-rewrite |
| 4 206× | lower-/.f32 |
| 4 198× | lower-/.f64 |
| 3 618× | lower-*.f32 |
| 3 596× | lower-*.f64 |
| 3 414× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 351 |
| 0 | 82 | 325 |
| 1 | 342 | 325 |
| 2 | 3036 | 325 |
| 0 | 8280 | 315 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y x) |
(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
(tanh.f64 (/.f64 t y)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)) |
(fma.f64 z (-.f64 t x) x) |
(-.f64 t x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) |
(*.f64 y z) |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) |
(-.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))))) |
(fma.f64 z (-.f64 t x) (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))))) (/.f64 z (*.f64 y y)) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))))) (/.f64 z (*.f64 y y)) x))) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) |
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) |
(-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) |
(tanh.f64 (/.f64 x y)) |
(/.f64 (-.f64 t x) y) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))))) (/.f64 z (*.f64 y y)) x) |
(/.f64 z (*.f64 y y)) |
#s(approx (tanh (/ x y)) (/.f64 x y)) |
| Outputs |
|---|
(+.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y))) |
(+.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)) x) |
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)) #s(literal 2 binary64)) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) (neg.f64 x)))) |
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(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))) |
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(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)) |
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(tanh.f64 (/.f64 t y)) |
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(+.f64 x (*.f64 z (-.f64 t x))) |
(+.f64 (*.f64 z (-.f64 t x)) x) |
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(fma.f64 z (-.f64 t x) x) |
(fma.f64 (-.f64 t x) z x) |
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(-.f64 t x) |
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(fma.f64 #s(literal -1 binary64) x t) |
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(fma.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) x) |
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x) |
(fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 z y) x) |
(fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) y x) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x) |
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(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (-.f64 (*.f64 x (*.f64 x x)) (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))))) (/.f64 z (*.f64 y y))) #s(literal 3 binary64)) (*.f64 x (*.f64 x x)))) (neg.f64 (fma.f64 x x (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (-.f64 (*.f64 x (*.f64 x x)) (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 z (*.f64 y y)))) (*.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (-.f64 (*.f64 x (*.f64 x x)) (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 #s(literal 1/2 binary64) z))) (*.f64 (*.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (-.f64 (*.f64 x (*.f64 x x)) (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 #s(literal 1/2 binary64) z)) x)) (*.f64 y y))))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (-.f64 (*.f64 x (*.f64 x x)) (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 #s(literal 1/2 binary64) z)) (*.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (-.f64 (*.f64 x (*.f64 x x)) (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 #s(literal 1/2 binary64) z))) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 x x))) (neg.f64 (fma.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (-.f64 (*.f64 x (*.f64 x x)) (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 z (*.f64 y y))) (neg.f64 x)))) |
(/.f64 (-.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (-.f64 (*.f64 x (*.f64 x x)) (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 #s(literal 1/2 binary64) z)) (*.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (-.f64 (*.f64 x (*.f64 x x)) (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 #s(literal 1/2 binary64) z))) (*.f64 (*.f64 y y) (*.f64 y y)))) (-.f64 x (*.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (-.f64 (*.f64 x (*.f64 x x)) (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 z (*.f64 y y)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (-.f64 (*.f64 x (*.f64 x x)) (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))))) (/.f64 z (*.f64 y y))) #s(literal 3 binary64)) (*.f64 x (*.f64 x x))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (*.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (-.f64 (*.f64 x (*.f64 x x)) (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 z (*.f64 y y))))) (/.f64 (*.f64 (*.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (-.f64 (*.f64 x (*.f64 x x)) (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 #s(literal 1/2 binary64) z)) (*.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (-.f64 (*.f64 x (*.f64 x x)) (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 #s(literal 1/2 binary64) z))) (*.f64 (*.f64 y y) (*.f64 y y))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (-.f64 (*.f64 x (*.f64 x x)) (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 #s(literal 1/2 binary64) z)) (*.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (-.f64 (*.f64 x (*.f64 x x)) (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 #s(literal 1/2 binary64) z))) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 x x)))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (-.f64 (*.f64 x (*.f64 x x)) (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 z (*.f64 y y))) (neg.f64 x))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (-.f64 (*.f64 x (*.f64 x x)) (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 #s(literal 1/2 binary64) z)) (*.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (-.f64 (*.f64 x (*.f64 x x)) (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 #s(literal 1/2 binary64) z))) (*.f64 (*.f64 y y) (*.f64 y y))))) (neg.f64 (-.f64 x (*.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (-.f64 (*.f64 x (*.f64 x x)) (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 z (*.f64 y y))))))) |
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (-.f64 (*.f64 x (*.f64 x x)) (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 z (*.f64 y y))))) (/.f64 (*.f64 (*.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (-.f64 (*.f64 x (*.f64 x x)) (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 #s(literal 1/2 binary64) z)) (*.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (-.f64 (*.f64 x (*.f64 x x)) (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 #s(literal 1/2 binary64) z))) (*.f64 (*.f64 y y) (*.f64 y y)))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (-.f64 (*.f64 x (*.f64 x x)) (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))))) (/.f64 z (*.f64 y y))) #s(literal 3 binary64)) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (-.f64 (*.f64 x (*.f64 x x)) (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 z (*.f64 y y))) (neg.f64 x)) (-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (-.f64 (*.f64 x (*.f64 x x)) (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 #s(literal 1/2 binary64) z)) (*.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (-.f64 (*.f64 x (*.f64 x x)) (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 #s(literal 1/2 binary64) z))) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 x x))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (-.f64 (*.f64 x (*.f64 x x)) (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))))) (/.f64 z (*.f64 y y))) #s(literal 3 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (-.f64 (*.f64 x (*.f64 x x)) (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 z (*.f64 y y))))) (/.f64 (*.f64 (*.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (-.f64 (*.f64 x (*.f64 x x)) (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 #s(literal 1/2 binary64) z)) (*.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (-.f64 (*.f64 x (*.f64 x x)) (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 #s(literal 1/2 binary64) z))) (*.f64 (*.f64 y y) (*.f64 y y)))))) |
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (-.f64 (*.f64 x (*.f64 x x)) (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 #s(literal 1/2 binary64) z)) (*.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (-.f64 (*.f64 x (*.f64 x x)) (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 #s(literal 1/2 binary64) z))) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (-.f64 (*.f64 x (*.f64 x x)) (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 z (*.f64 y y))) (neg.f64 x)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 y y) z)) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y (neg.f64 y))) (/.f64 z (*.f64 y (neg.f64 y)))) |
(neg.f64 (/.f64 z (*.f64 y (neg.f64 y)))) |
(neg.f64 (/.f64 (neg.f64 z) (*.f64 y y))) |
(/.f64 z (*.f64 y y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 y y) z) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 z y))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 y y) z)))) |
(/.f64 (neg.f64 z) (*.f64 y (neg.f64 y))) |
(/.f64 (/.f64 z y) y) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 y y) z))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 y y) z) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (/.f64 z y)))) |
(/.f64 (neg.f64 (neg.f64 z)) (neg.f64 (*.f64 y (neg.f64 y)))) |
(/.f64 (neg.f64 (/.f64 z y)) (neg.f64 y)) |
(/.f64 (*.f64 z #s(literal 1 binary64)) (*.f64 y y)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 z))) (neg.f64 (neg.f64 (*.f64 y (neg.f64 y))))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 z y))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (*.f64 z #s(literal 1 binary64))) (*.f64 y (neg.f64 y))) |
(pow.f64 (/.f64 (*.f64 y y) z) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 y y) z) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 y (/.f64 z y)) #s(literal -1 binary64)) |
(*.f64 z (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(*.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y y))) |
(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (*.f64 y (neg.f64 y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) z) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z y)) |
(*.f64 (/.f64 z y) (/.f64 #s(literal 1 binary64) y)) |
#s(approx (tanh (/ x y)) (/.f64 x y)) |
Compiled 69 561 to 3 281 computations (95.3% saved)
30 alts after pruning (29 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 524 | 28 | 1 552 |
| Fresh | 4 | 1 | 5 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 532 | 30 | 1 562 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 98.1% | (fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) z (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) z)) y x) |
| 70.6% | (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) | |
| 51.9% | (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x) | |
| ✓ | 98.0% | (fma.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y x) |
| 45.2% | (fma.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (*.f64 x (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) y)))))) y x) | |
| 62.0% | (fma.f64 (*.f64 z (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y x) | |
| ▶ | 47.7% | (fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x) |
| 58.2% | (fma.f64 #s(approx (* z (- (tanh (/ t y)) (tanh (/ x y)))) (/.f64 (*.f64 z (-.f64 t x)) y)) y x) | |
| 23.9% | (/.f64 (-.f64 (*.f64 (*.f64 z y) (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))) (*.f64 x x)) (-.f64 (*.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) x)) | |
| 40.2% | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y)) x) y)))))) | |
| 32.2% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 (/.f64 t y) (/.f64 t y)) (*.f64 (/.f64 x y) (/.f64 x y))) (+.f64 (/.f64 t y) (/.f64 x y)))))) | |
| 31.6% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (/.f64 #s(literal 1 binary64) y)) (+.f64 t x))))) | |
| 42.2% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))) | |
| 47.7% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))))) | |
| 27.5% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 t x))) #s(literal -1 binary64)))))) | |
| 50.0% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))))) | |
| 44.3% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 x (+.f64 (/.f64 t (*.f64 x y)) (/.f64 #s(literal -1 binary64) y))))))) | |
| 23.5% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)))) x)) | |
| 18.2% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) #s(approx (+ (* (* 1/2 (- (+ (* t (* (* t t) 1/3)) (* x (* x x))) (+ (* t (* t t)) (* 1/3 (* x (* x x)))))) (/ z (* y y))) x) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (/.f64 z (*.f64 y y)) #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))))) | |
| 39.1% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 t x))) x)) | |
| 56.0% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (fma.f64 t (/.f64 x (neg.f64 t)) t)) x)) | |
| 51.1% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (neg.f64 x)) x)) | |
| ▶ | 28.3% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) (-.f64 x (*.f64 z (-.f64 t x))))) |
| ▶ | 9.9% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 z (-.f64 t x))) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (-.f64 t x) (*.f64 (-.f64 t x) (-.f64 t x)))))))) |
| 9.9% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (-.f64 t x) (*.f64 (-.f64 t x) (-.f64 t x))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 z (-.f64 t x))) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))))))) | |
| 2.5% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) (+ (* (* 1/2 (- (+ (* t (* (* t t) 1/3)) (* x (* x x))) (+ (* t (* t t)) (* 1/3 (* x (* x x)))))) (/ z (* y y))) x)) (/.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) z) (*.f64 y y)))) | |
| 11.4% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) (+ (* (* 1/2 (- (+ (* t (* (* t t) 1/3)) (* x (* x x))) (+ (* t (* t t)) (* 1/3 (* x (* x x)))))) (/ z (* y y))) x)) (*.f64 (*.f64 x (*.f64 x x)) (-.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 z (*.f64 x x)))))) | |
| 53.9% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (fma.f64 x (-.f64 (*.f64 t (/.f64 z x)) z) x))) | |
| 28.7% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))) | |
| ▶ | 20.2% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) |
Compiled 1 376 to 689 computations (49.9% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 z (-.f64 t x))) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (-.f64 t x) (*.f64 (-.f64 t x) (-.f64 t x)))))))) |
| ✓ | cost-diff | 128 | (-.f64 x (*.f64 z (-.f64 t x))) |
| ✓ | cost-diff | 256 | (fma.f64 x (-.f64 x (*.f64 z (-.f64 t x))) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) |
| ✓ | cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 z (-.f64 t x))) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (-.f64 t x) (*.f64 (-.f64 t x) (-.f64 t x))))))) |
| ✓ | cost-diff | 0 | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) (-.f64 x (*.f64 z (-.f64 t x))))) |
| ✓ | cost-diff | 128 | (-.f64 x (*.f64 z (-.f64 t x))) |
| ✓ | cost-diff | 384 | (-.f64 (*.f64 x x) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) |
| ✓ | cost-diff | 1856 | (/.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) (-.f64 x (*.f64 z (-.f64 t x)))) |
| ✓ | cost-diff | 0 | (/.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 y) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) 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)) z (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) z)) y x) |
| ✓ | cost-diff | 320 | (fma.f64 (tanh.f64 (/.f64 t y)) z (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) z)) |
| 6 508× | lower-fma.f32 |
| 6 498× | lower-fma.f64 |
| 4 260× | lower-*.f32 |
| 4 236× | lower-*.f64 |
| 2 278× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 546 |
| 0 | 84 | 487 |
| 1 | 178 | 487 |
| 2 | 440 | 483 |
| 3 | 1606 | 447 |
| 4 | 7008 | 437 |
| 0 | 8044 | 425 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) z (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) z)) y x) |
(fma.f64 (tanh.f64 (/.f64 t y)) z (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) z)) |
(tanh.f64 (/.f64 t y)) |
(/.f64 t y) |
t |
y |
z |
(*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) z) |
(neg.f64 (tanh.f64 (/.f64 x y))) |
(tanh.f64 (/.f64 x y)) |
(/.f64 x y) |
x |
#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 y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x) |
(*.f64 z y) |
z |
y |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) |
(/.f64 (-.f64 t x) y) |
(-.f64 t x) |
t |
x |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) (-.f64 x (*.f64 z (-.f64 t x))))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) (-.f64 x (*.f64 z (-.f64 t x)))) |
(-.f64 (*.f64 x x) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) |
(*.f64 x x) |
x |
(*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))) |
z |
(*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))) |
(-.f64 t x) |
t |
(*.f64 z (-.f64 t x)) |
(-.f64 x (*.f64 z (-.f64 t x))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 z (-.f64 t x))) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (-.f64 t x) (*.f64 (-.f64 t x) (-.f64 t x)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 z (-.f64 t x))) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (-.f64 t x) (*.f64 (-.f64 t x) (-.f64 t x))))))) |
#s(literal 1 binary64) |
(/.f64 (fma.f64 x (-.f64 x (*.f64 z (-.f64 t x))) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (-.f64 t x) (*.f64 (-.f64 t x) (-.f64 t x)))))) |
(fma.f64 x (-.f64 x (*.f64 z (-.f64 t x))) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) |
x |
(-.f64 x (*.f64 z (-.f64 t x))) |
(*.f64 z (-.f64 t x)) |
z |
(-.f64 t x) |
t |
(*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))) |
(*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))) |
(fma.f64 x (*.f64 x x) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (-.f64 t x) (*.f64 (-.f64 t x) (-.f64 t x))))) |
(*.f64 x x) |
(*.f64 (*.f64 z (*.f64 z z)) (*.f64 (-.f64 t x) (*.f64 (-.f64 t x) (-.f64 t x)))) |
(*.f64 z (*.f64 z z)) |
(*.f64 z z) |
(*.f64 (-.f64 t x) (*.f64 (-.f64 t x) (-.f64 t x))) |
(*.f64 (-.f64 t x) (-.f64 t x)) |
| Outputs |
|---|
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) z (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) z)) y 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)) z (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) z)) |
(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
(tanh.f64 (/.f64 t y)) |
(/.f64 t y) |
t |
y |
z |
(*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) z) |
(*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 z)) |
(neg.f64 (tanh.f64 (/.f64 x y))) |
(tanh.f64 (/.f64 x y)) |
(/.f64 x y) |
x |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 t z))) |
#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 y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x) |
(fma.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x) |
(*.f64 z y) |
(*.f64 y z) |
z |
y |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) |
(/.f64 (-.f64 t x) y) |
(-.f64 t x) |
t |
x |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) (-.f64 x (*.f64 z (-.f64 t x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 (fma.f64 z (-.f64 t x) x) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) (-.f64 x (*.f64 z (-.f64 t x)))) |
(*.f64 (fma.f64 z (-.f64 t x) x) #s(literal 1 binary64)) |
(-.f64 (*.f64 x x) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) |
(*.f64 (fma.f64 z (-.f64 t x) x) (fma.f64 z (-.f64 x t) x)) |
(*.f64 x x) |
x |
(*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))) |
(*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x)))) |
z |
(*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))) |
(-.f64 t x) |
t |
(*.f64 z (-.f64 t x)) |
(-.f64 x (*.f64 z (-.f64 t x))) |
(fma.f64 z (-.f64 x t) x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 z (-.f64 t x))) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (-.f64 t x) (*.f64 (-.f64 t x) (-.f64 t x)))))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (fma.f64 z (*.f64 (-.f64 t x) (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x))))) (*.f64 x (*.f64 x x))) (fma.f64 x x (*.f64 (*.f64 z (-.f64 t x)) (+.f64 (neg.f64 x) (*.f64 z (-.f64 t x))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 z (-.f64 t x))) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (-.f64 t x) (*.f64 (-.f64 t x) (-.f64 t x))))))) |
(/.f64 (fma.f64 z (*.f64 (-.f64 t x) (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x))))) (*.f64 x (*.f64 x x))) (fma.f64 x x (*.f64 (*.f64 z (-.f64 t x)) (+.f64 (neg.f64 x) (*.f64 z (-.f64 t x)))))) |
#s(literal 1 binary64) |
(/.f64 (fma.f64 x (-.f64 x (*.f64 z (-.f64 t x))) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (-.f64 t x) (*.f64 (-.f64 t x) (-.f64 t x)))))) |
(/.f64 (fma.f64 x x (*.f64 (*.f64 z (-.f64 t x)) (+.f64 (neg.f64 x) (*.f64 z (-.f64 t x))))) (fma.f64 z (*.f64 (-.f64 t x) (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x))))) (*.f64 x (*.f64 x x)))) |
(fma.f64 x (-.f64 x (*.f64 z (-.f64 t x))) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) |
(fma.f64 x x (*.f64 (*.f64 z (-.f64 t x)) (+.f64 (neg.f64 x) (*.f64 z (-.f64 t x))))) |
x |
(-.f64 x (*.f64 z (-.f64 t x))) |
(fma.f64 z (-.f64 x t) x) |
(*.f64 z (-.f64 t x)) |
z |
(-.f64 t x) |
t |
(*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))) |
(*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x)))) |
(*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))) |
(fma.f64 x (*.f64 x x) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (-.f64 t x) (*.f64 (-.f64 t x) (-.f64 t x))))) |
(fma.f64 z (*.f64 (-.f64 t x) (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x))))) (*.f64 x (*.f64 x x))) |
(*.f64 x x) |
(*.f64 (*.f64 z (*.f64 z z)) (*.f64 (-.f64 t x) (*.f64 (-.f64 t x) (-.f64 t x)))) |
(*.f64 (*.f64 z (-.f64 t x)) (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x))))) |
(*.f64 z (*.f64 z z)) |
(*.f64 z z) |
(*.f64 (-.f64 t x) (*.f64 (-.f64 t x) (-.f64 t x))) |
(*.f64 (-.f64 t x) (-.f64 t x)) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 90.2% | (fma.f64 x (*.f64 x x) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (-.f64 t x) (*.f64 (-.f64 t x) (-.f64 t x))))) |
| ✓ | accuracy | 70.6% | (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (-.f64 t x) (*.f64 (-.f64 t x) (-.f64 t x)))) |
| ✓ | accuracy | 62.0% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 z (-.f64 t x))) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (-.f64 t x) (*.f64 (-.f64 t x) (-.f64 t x)))))))) |
| ✓ | accuracy | 27.0% | (/.f64 (fma.f64 x (-.f64 x (*.f64 z (-.f64 t x))) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (-.f64 t x) (*.f64 (-.f64 t x) (-.f64 t x)))))) |
| ✓ | accuracy | 93.0% | (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))) |
| ✓ | accuracy | 86.1% | (-.f64 (*.f64 x x) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) |
| ✓ | accuracy | 62.0% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) (-.f64 x (*.f64 z (-.f64 t x))))) |
| ✓ | accuracy | 45.3% | (/.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) (-.f64 x (*.f64 z (-.f64 t x)))) |
| ✓ | accuracy | 100.0% | (*.f64 z y) |
| ✓ | accuracy | 100.0% | (/.f64 (-.f64 t x) y) |
| ✓ | accuracy | 93.7% | (fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x) |
| ✓ | accuracy | 35.5% | #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) |
| ✓ | accuracy | 100.0% | (*.f64 z t) |
| ✓ | accuracy | 62.0% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) |
| ✓ | accuracy | 45.6% | #s(approx (+ (* z (- t x)) x) (*.f64 z t)) |
| ✓ | accuracy | 100.0% | (tanh.f64 (/.f64 x y)) |
| ✓ | accuracy | 99.5% | (fma.f64 (tanh.f64 (/.f64 t y)) z (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) z)) |
| ✓ | accuracy | 99.2% | (fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) z (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) z)) y x) |
| ✓ | accuracy | 93.7% | (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) z) |
| 80.0ms | 211× | 0 | valid |
| 33.0ms | 40× | 2 | valid |
| 3.0ms | 5× | 1 | valid |
Compiled 460 to 46 computations (90% saved)
ival-mult: 42.0ms (53.2% of total)ival-div: 12.0ms (15.2% of total)ival-add: 9.0ms (11.4% of total)adjust: 6.0ms (7.6% of total)ival-sub: 5.0ms (6.3% of total)ival-tanh: 3.0ms (3.8% of total)ival-neg: 1.0ms (1.3% 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 (tanh.f64 (/.f64 t y)) z (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) z))> |
#<alt (fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) z (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) z)) y 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 y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x)> |
#<alt (*.f64 z y)> |
#<alt #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))> |
#<alt (/.f64 (-.f64 t x) y)> |
#<alt (/.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) (-.f64 x (*.f64 z (-.f64 t x))))> |
#<alt (-.f64 (*.f64 x x) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))))> |
#<alt (-.f64 x (*.f64 z (-.f64 t x)))> |
#<alt #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) (-.f64 x (*.f64 z (-.f64 t x)))))> |
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 z (-.f64 t x))) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (-.f64 t x) (*.f64 (-.f64 t x) (-.f64 t x)))))))> |
#<alt (fma.f64 x (-.f64 x (*.f64 z (-.f64 t x))) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))))> |
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#<alt (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (-.f64 t x) (*.f64 (-.f64 t x) (-.f64 t x))))> |
#<alt (fma.f64 x (*.f64 x x) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (-.f64 t x) (*.f64 (-.f64 t x) (-.f64 t x)))))> |
| Outputs |
|---|
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#<alt (* 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))))))))> |
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#<alt x> |
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#<alt x> |
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#<alt x> |
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#<alt x> |
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#<alt x> |
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#<alt x> |
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#<alt x> |
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#<alt x> |
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#<alt (* -1 (* x (+ (* -1 (/ (- 1 (pow z 2)) (+ 1 z))) (* -1 (/ (- (+ (* -1 (- (* -2 (/ (* t (pow z 2)) (+ 1 z))) (/ (* t (* z (- 1 (pow z 2)))) (pow (+ 1 z) 2)))) (* -1 (/ (* (pow t 2) (pow z 2)) (* x (+ 1 z))))) (/ (* t (* z (- (* -2 (/ (* t (pow z 2)) (+ 1 z))) (/ (* t (* z (- 1 (pow z 2)))) (pow (+ 1 z) 2))))) (* x (+ 1 z)))) x)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -1 (- (* -2 (/ (* t (pow z 2)) (+ 1 z))) (/ (* t (* z (- 1 (pow z 2)))) (pow (+ 1 z) 2)))) (* -1 (/ (+ (* -1 (- (* -1 (/ (* (pow t 2) (pow z 2)) (+ 1 z))) (/ (* t (* z (- (* -2 (/ (* t (pow z 2)) (+ 1 z))) (/ (* t (* z (- 1 (pow z 2)))) (pow (+ 1 z) 2))))) (+ 1 z)))) (* -1 (/ (* t (* z (- (* -1 (/ (* (pow t 2) (pow z 2)) (+ 1 z))) (/ (* t (* z (- (* -2 (/ (* t (pow z 2)) (+ 1 z))) (/ (* t (* z (- 1 (pow z 2)))) (pow (+ 1 z) 2))))) (+ 1 z))))) (* x (+ 1 z))))) x))) x)) (* -1 (/ (- 1 (pow z 2)) (+ 1 z))))))> |
#<alt x> |
#<alt (+ x (* z (- t x)))> |
#<alt (+ x (* z (- (+ t (* z (- (* -1 (/ (pow (- t x) 2) x)) (/ (* (- t x) (- x t)) x)))) x)))> |
#<alt (+ x (* z (- (+ t (* z (- (+ (* -1 (/ (* z (* (- x t) (- (* -1 (/ (pow (- t x) 2) x)) (/ (* (- t x) (- x t)) x)))) x)) (* -1 (/ (pow (- t x) 2) x))) (/ (* (- t x) (- x t)) x)))) x)))> |
#<alt (* -1 (/ (* z (pow (- t x) 2)) (- x t)))> |
#<alt (* z (+ (* -1 (/ (pow (- t x) 2) (- x t))) (/ (* x (pow (- t x) 2)) (* z (pow (- x t) 2)))))> |
#<alt (* z (- (+ (* -1 (/ (pow (- t x) 2) (- x t))) (/ (pow x 2) (* (pow z 2) (- x t)))) (+ (* -1 (/ (* x (pow (- t x) 2)) (* z (pow (- x t) 2)))) (/ (* (pow x 2) (pow (- t x) 2)) (* (pow z 2) (pow (- x t) 3))))))> |
#<alt (* z (- (+ (* -1 (/ (* x (- (/ (pow x 2) (- x t)) (/ (* (pow x 2) (pow (- t x) 2)) (pow (- x t) 3)))) (* (pow z 3) (- x t)))) (+ (* -1 (/ (pow (- t x) 2) (- x t))) (/ (pow x 2) (* (pow z 2) (- x t))))) (+ (* -1 (/ (* x (pow (- t x) 2)) (* z (pow (- x t) 2)))) (/ (* (pow x 2) (pow (- t x) 2)) (* (pow z 2) (pow (- x t) 3))))))> |
#<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 (/ (- (pow x 2) (* (pow x 2) (pow z 2))) (- x (* -1 (* x z))))> |
#<alt (- (+ (* t (- (* 2 (/ (* x (pow z 2)) (- x (* -1 (* x z))))) (* -1 (/ (* z (- (pow x 2) (* (pow x 2) (pow z 2)))) (pow (- x (* -1 (* x z))) 2))))) (/ (pow x 2) (- x (* -1 (* x z))))) (/ (* (pow x 2) (pow z 2)) (- x (* -1 (* x z)))))> |
#<alt (- (+ (* t (- (+ (* 2 (/ (* x (pow z 2)) (- x (* -1 (* x z))))) (* t (- (* -1 (/ (pow z 2) (- x (* -1 (* x z))))) (* -1 (/ (* z (- (* 2 (/ (* x (pow z 2)) (- x (* -1 (* x z))))) (* -1 (/ (* z (- (pow x 2) (* (pow x 2) (pow z 2)))) (pow (- x (* -1 (* x z))) 2))))) (- x (* -1 (* x z)))))))) (* -1 (/ (* z (- (pow x 2) (* (pow x 2) (pow z 2)))) (pow (- x (* -1 (* x z))) 2))))) (/ (pow x 2) (- x (* -1 (* x z))))) (/ (* (pow x 2) (pow z 2)) (- x (* -1 (* x z)))))> |
#<alt (- (+ (* t (- (+ (* 2 (/ (* x (pow z 2)) (- x (* -1 (* x z))))) (* t (- (+ (* -1 (/ (pow z 2) (- x (* -1 (* x z))))) (/ (* t (* z (- (* -1 (/ (pow z 2) (- x (* -1 (* x z))))) (* -1 (/ (* z (- (* 2 (/ (* x (pow z 2)) (- x (* -1 (* x z))))) (* -1 (/ (* z (- (pow x 2) (* (pow x 2) (pow z 2)))) (pow (- x (* -1 (* x z))) 2))))) (- x (* -1 (* x z)))))))) (- x (* -1 (* x z))))) (* -1 (/ (* z (- (* 2 (/ (* x (pow z 2)) (- x (* -1 (* x z))))) (* -1 (/ (* z (- (pow x 2) (* (pow x 2) (pow z 2)))) (pow (- x (* -1 (* x z))) 2))))) (- x (* -1 (* x z)))))))) (* -1 (/ (* z (- (pow x 2) (* (pow x 2) (pow z 2)))) (pow (- x (* -1 (* x z))) 2))))) (/ (pow x 2) (- x (* -1 (* x z))))) (/ (* (pow x 2) (pow z 2)) (- x (* -1 (* x z)))))> |
#<alt (* t z)> |
#<alt (* t (- (+ z (* -2 (/ (* x z) t))) (* -1 (/ (- x (* -1 (* x z))) t))))> |
#<alt (* t (- (+ z (+ (* -2 (/ (* x z) t)) (* -1 (/ (- (pow x 2) (* (pow x 2) (pow z 2))) (* (pow t 2) z))))) (+ (* -1 (/ (* (- x (* -1 (* x z))) (- (* -2 (* x z)) (* -1 (- x (* -1 (* x z)))))) (* (pow t 2) z))) (* -1 (/ (- x (* -1 (* x z))) t)))))> |
#<alt (* t (- (+ z (+ (* -2 (/ (* x z) t)) (+ (* -1 (/ (- (pow x 2) (* (pow x 2) (pow z 2))) (* (pow t 2) z))) (/ (* (- x (* -1 (* x z))) (- (* -1 (/ (- (pow x 2) (* (pow x 2) (pow z 2))) z)) (* -1 (/ (* (- x (* -1 (* x z))) (- (* -2 (* x z)) (* -1 (- x (* -1 (* x z)))))) z)))) (* (pow t 3) z))))) (+ (* -1 (/ (* (- x (* -1 (* x z))) (- (* -2 (* x z)) (* -1 (- x (* -1 (* x z)))))) (* (pow t 2) z))) (* -1 (/ (- x (* -1 (* x z))) t)))))> |
#<alt (* t z)> |
#<alt (* -1 (* t (+ (* -1 z) (* -1 (/ (- (* -2 (* x z)) (* -1 (- x (* -1 (* x z))))) t)))))> |
#<alt (* -1 (* t (+ (* -1 z) (* -1 (/ (- (+ (* -2 (* x z)) (* -1 (/ (- (/ (pow x 2) z) (+ (* (pow x 2) z) (/ (* (- x (* -1 (* x z))) (- (* -2 (* x z)) (* -1 (- x (* -1 (* x z)))))) z))) t))) (* -1 (- x (* -1 (* x z))))) t)))))> |
#<alt (* -1 (* t (+ (* -1 z) (* -1 (/ (- (+ (* -2 (* x z)) (* -1 (/ (- (+ (/ (* (- x (* -1 (* x z))) (- (/ (pow x 2) z) (+ (* (pow x 2) z) (/ (* (- x (* -1 (* x z))) (- (* -2 (* x z)) (* -1 (- x (* -1 (* x z)))))) z)))) (* t z)) (/ (pow x 2) z)) (+ (* (pow x 2) z) (/ (* (- x (* -1 (* x z))) (- (* -2 (* x z)) (* -1 (- x (* -1 (* x z)))))) z))) t))) (* -1 (- x (* -1 (* x z))))) t)))))> |
#<alt (* -1 (* (pow t 2) (pow z 2)))> |
#<alt (- (* 2 (* t (* x (pow z 2)))) (* (pow t 2) (pow z 2)))> |
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#<alt (- (* x (- (* x (- 1 (pow z 2))) (* -2 (* t (pow z 2))))) (* (pow t 2) (pow z 2)))> |
#<alt (* (pow x 2) (- 1 (pow z 2)))> |
#<alt (* (pow x 2) (- (+ 1 (* 2 (/ (* t (pow z 2)) x))) (pow z 2)))> |
#<alt (* (pow x 2) (- (+ 1 (* -1 (/ (* (pow t 2) (pow z 2)) (pow x 2)))) (+ (* -2 (/ (* t (pow z 2)) x)) (pow z 2))))> |
#<alt (* (pow x 2) (- (+ 1 (* -1 (/ (* (pow t 2) (pow z 2)) (pow x 2)))) (+ (* -2 (/ (* t (pow z 2)) x)) (pow z 2))))> |
#<alt (* (pow x 2) (- 1 (pow z 2)))> |
#<alt (* (pow x 2) (- (+ 1 (* 2 (/ (* t (pow z 2)) x))) (pow z 2)))> |
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#<alt (* (pow x 2) (- (+ 1 (* -1 (/ (- (/ (* (pow t 2) (pow z 2)) x) (* 2 (* t (pow z 2)))) x))) (pow z 2)))> |
#<alt (pow x 2)> |
#<alt (+ (* -1 (* (pow z 2) (pow (- t x) 2))) (pow x 2))> |
#<alt (+ (* -1 (* (pow z 2) (pow (- t x) 2))) (pow x 2))> |
#<alt (+ (* -1 (* (pow z 2) (pow (- t x) 2))) (pow x 2))> |
#<alt (* -1 (* (pow z 2) (pow (- t x) 2)))> |
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#<alt (* (pow z 2) (- (/ (pow x 2) (pow z 2)) (pow (- t x) 2)))> |
#<alt (* -1 (* (pow z 2) (pow (- t x) 2)))> |
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#<alt (* (pow z 2) (- (/ (pow x 2) (pow z 2)) (pow (- t x) 2)))> |
#<alt (- (pow x 2) (* (pow x 2) (pow z 2)))> |
#<alt (- (+ (* 2 (* t (* x (pow z 2)))) (pow x 2)) (* (pow x 2) (pow z 2)))> |
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#<alt (- (+ (* t (- (* -1 (* t (pow z 2))) (* -2 (* x (pow z 2))))) (pow x 2)) (* (pow x 2) (pow z 2)))> |
#<alt (* -1 (* (pow t 2) (pow z 2)))> |
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#<alt (* (pow t 2) (- (/ (pow x 2) (pow t 2)) (+ (* -2 (/ (* x (pow z 2)) t)) (+ (/ (* (pow x 2) (pow z 2)) (pow t 2)) (pow z 2)))))> |
#<alt (* (pow t 2) (- (/ (pow x 2) (pow t 2)) (+ (* -2 (/ (* x (pow z 2)) t)) (+ (/ (* (pow x 2) (pow z 2)) (pow t 2)) (pow z 2)))))> |
#<alt (* -1 (* (pow t 2) (pow z 2)))> |
#<alt (* (pow t 2) (- (* 2 (/ (* x (pow z 2)) t)) (pow z 2)))> |
#<alt (* (pow t 2) (- (* -1 (/ (- (* -1 (/ (- (pow x 2) (* (pow x 2) (pow z 2))) t)) (* 2 (* x (pow z 2)))) t)) (pow z 2)))> |
#<alt (* (pow t 2) (- (* -1 (/ (- (* -1 (/ (- (pow x 2) (* (pow x 2) (pow z 2))) t)) (* 2 (* x (pow z 2)))) t)) (pow z 2)))> |
#<alt (* -1 (* t z))> |
#<alt (- (* x (- 1 (* -1 z))) (* t z))> |
#<alt (- (* x (- 1 (* -1 z))) (* t z))> |
#<alt (- (* x (- 1 (* -1 z))) (* t z))> |
#<alt (* x (- 1 (* -1 z)))> |
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#<alt (* x (- (+ 1 (* -1 (/ (* t z) x))) (* -1 z)))> |
#<alt (* x (- (+ 1 (* -1 (/ (* t z) x))) (* -1 z)))> |
#<alt (* x (+ 1 z))> |
#<alt (* -1 (* x (- (/ (* t z) x) (+ 1 z))))> |
#<alt (* -1 (* x (- (/ (* t z) x) (+ 1 z))))> |
#<alt (* -1 (* x (- (/ (* t z) x) (+ 1 z))))> |
#<alt x> |
#<alt (+ x (* z (- x t)))> |
#<alt (+ x (* z (- x t)))> |
#<alt (+ x (* z (- x t)))> |
#<alt (* z (- x t))> |
#<alt (* z (- (+ x (/ x z)) t))> |
#<alt (* z (- (+ x (/ x z)) t))> |
#<alt (* z (- (+ x (/ x z)) t))> |
#<alt (* -1 (* z (- t x)))> |
#<alt (* -1 (* z (- (* -1 (/ x z)) (* -1 (- t x)))))> |
#<alt (* -1 (* z (- (* -1 (/ x z)) (* -1 (- t x)))))> |
#<alt (* -1 (* z (- (* -1 (/ x z)) (* -1 (- t x)))))> |
#<alt (- x (* -1 (* x z)))> |
#<alt (- (+ x (* -1 (* t z))) (* -1 (* x z)))> |
#<alt (- (+ x (* -1 (* t z))) (* -1 (* x z)))> |
#<alt (- (+ x (* -1 (* t z))) (* -1 (* x z)))> |
#<alt (* -1 (* t z))> |
#<alt (* t (- (/ x t) (+ z (* -1 (/ (* x z) t)))))> |
#<alt (* t (- (/ x t) (+ z (* -1 (/ (* x z) t)))))> |
#<alt (* t (- (/ x t) (+ z (* -1 (/ (* x z) t)))))> |
#<alt (* -1 (* t z))> |
#<alt (* -1 (* t (- (* -1 (/ (- x (* -1 (* x z))) t)) (* -1 z))))> |
#<alt (* -1 (* t (- (* -1 (/ (- x (* -1 (* x z))) t)) (* -1 z))))> |
#<alt (* -1 (* t (- (* -1 (/ (- x (* -1 (* x z))) t)) (* -1 z))))> |
#<alt (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))> |
#<alt (+ (* x (+ 1 (* -1 z))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))> |
#<alt (+ (* x (+ 1 (+ (* -1 z) (* 1/3 (/ (* (pow x 2) z) (pow y 2)))))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))> |
#<alt (+ (* x (+ 1 (+ (* -1 z) (* (pow x 2) (+ (* -2/15 (/ (* (pow x 2) z) (pow y 4))) (* 1/3 (/ z (pow y 2)))))))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))> |
#<alt x> |
#<alt (* x (+ 1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)))> |
#<alt (* x (+ 1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)))> |
#<alt (* x (+ 1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1)))> |
#<alt x> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* z (- t x)))> |
#<alt (+ x (+ (* z (- t x)) (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y)))> |
#<alt (+ x (+ (* z (- t x)) (+ (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y) (/ (* z (- (+ (* 1/2 (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3))))) (* 1/2 (pow x 3))) (+ (* 1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3))))) (* 1/2 (pow t 3))))) (pow y 2)))))> |
#<alt (+ x (+ (* z (- t x)) (+ (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y) (+ (/ (* z (- (+ (* -1/2 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))))) (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (* 1/2 (+ (* -1 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/6 (pow t 3)))))) (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (* 1/12 (pow t 4)))))))) (+ (* -1/2 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (* -1/2 (pow t 3))))) (+ (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2)))) (* 1/2 (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4)))))))))) (pow y 3)) (/ (* z (- (+ (* 1/2 (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3))))) (* 1/2 (pow x 3))) (+ (* 1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3))))) (* 1/2 (pow t 3))))) (pow y 2))))))> |
#<alt (+ x (* -1 (* z (- (* -1 t) (* -1 x)))))> |
#<alt (+ x (+ (* -1 (* z (- (* -1 t) (* -1 x)))) (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y)))> |
#<alt (+ x (+ (* -1 (* z (- (* -1 t) (* -1 x)))) (* -1 (/ (+ (* -1 (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))))) (/ (* z (- (+ (* -1/2 (pow x 3)) (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))))) (+ (* -1/2 (pow t 3)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))))) y)) y))))> |
#<alt (+ x (+ (* -1 (* z (- (* -1 t) (* -1 x)))) (* -1 (/ (+ (* -1 (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))))) (* -1 (/ (+ (* -1 (* z (- (+ (* -1/2 (pow x 3)) (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))))) (+ (* -1/2 (pow t 3)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))))) (/ (* z (- (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (+ (* 1/2 (* x (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) (* 1/2 (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (+ (* 1/12 (pow t 4)) (* t (+ (* -1/6 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))))))))) (+ (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2)))) (+ (* 1/2 (* t (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))) (* 1/2 (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (+ (* 1/12 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))))))))) y)) y))) y))))> |
#<alt x> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* z (+ (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (/ x z)))> |
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#<alt (+ x (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
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#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
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#<alt (* t z)> |
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#<alt (* -1 (/ (* x (- (pow z 3) 1)) (+ 1 (+ z (pow z 2)))))> |
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#<alt (* -1 (* x (- (+ (* -1 (/ (- (+ (* -1 (/ (- (/ (* (pow z 3) (+ (* 2 (pow t 2)) (pow t 2))) (+ 1 (+ z (pow z 2)))) (+ (/ (* (+ (* 2 (* t (pow z 2))) (* t z)) (- (/ (* (pow z 3) (+ t (* 2 t))) (+ 1 (+ z (pow z 2)))) (/ (* (+ (* 2 (* t (pow z 2))) (* t z)) (- (pow z 3) 1)) (pow (+ 1 (+ z (pow z 2))) 2)))) (+ 1 (+ z (pow z 2)))) (/ (* (pow t 2) (* (pow z 2) (- (pow z 3) 1))) (pow (+ 1 (+ z (pow z 2))) 2)))) x)) (/ (* (pow z 3) (+ t (* 2 t))) (+ 1 (+ z (pow z 2))))) (/ (* (+ (* 2 (* t (pow z 2))) (* t z)) (- (pow z 3) 1)) (pow (+ 1 (+ z (pow z 2))) 2))) x)) (/ (pow z 3) (+ 1 (+ z (pow z 2))))) (/ 1 (+ 1 (+ z (pow z 2)))))))> |
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#<alt x> |
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#<alt (* z (- t x))> |
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#<alt (* z (- t x))> |
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#<alt (+ (* -1 (/ (* (pow x 3) (pow z 3)) (+ (* x (- x (* -1 (* x z)))) (* (pow x 2) (pow z 2))))) (+ (* t (- (+ (* t (- (/ (* (pow z 3) (+ (* -2 x) (* -1 x))) (+ (* x (- x (* -1 (* x z)))) (* (pow x 2) (pow z 2)))) (+ (/ (* (+ (* -2 (* x (pow z 2))) (* -1 (* x z))) (- (/ (* (pow z 3) (+ (* 2 (pow x 2)) (pow x 2))) (+ (* x (- x (* -1 (* x z)))) (* (pow x 2) (pow z 2)))) (/ (* (+ (* -2 (* x (pow z 2))) (* -1 (* x z))) (+ (* -1 (* (pow x 3) (pow z 3))) (pow x 3))) (pow (+ (* x (- x (* -1 (* x z)))) (* (pow x 2) (pow z 2))) 2)))) (+ (* x (- x (* -1 (* x z)))) (* (pow x 2) (pow z 2)))) (/ (* (pow z 2) (+ (* -1 (* (pow x 3) (pow z 3))) (pow x 3))) (pow (+ (* x (- x (* -1 (* x z)))) (* (pow x 2) (pow z 2))) 2))))) (/ (* (pow z 3) (+ (* 2 (pow x 2)) (pow x 2))) (+ (* x (- x (* -1 (* x z)))) (* (pow x 2) (pow z 2))))) (/ (* (+ (* -2 (* x (pow z 2))) (* -1 (* x z))) (+ (* -1 (* (pow x 3) (pow z 3))) (pow x 3))) (pow (+ (* x (- x (* -1 (* x z)))) (* (pow x 2) (pow z 2))) 2)))) (/ (pow x 3) (+ (* x (- x (* -1 (* x z)))) (* (pow x 2) (pow z 2))))))> |
#<alt (+ (* -1 (/ (* (pow x 3) (pow z 3)) (+ (* x (- x (* -1 (* x z)))) (* (pow x 2) (pow z 2))))) (+ (* t (- (+ (* t (- (+ (* t (- (/ (pow z 3) (+ (* x (- x (* -1 (* x z)))) (* (pow x 2) (pow z 2)))) (+ (/ (* (+ (* -2 (* x (pow z 2))) (* -1 (* x z))) (- (/ (* (pow z 3) (+ (* -2 x) (* -1 x))) (+ (* x (- x (* -1 (* x z)))) (* (pow x 2) (pow z 2)))) (+ (/ (* (+ (* -2 (* x (pow z 2))) (* -1 (* x z))) (- (/ (* (pow z 3) (+ (* 2 (pow x 2)) (pow x 2))) (+ (* x (- x (* -1 (* x z)))) (* (pow x 2) (pow z 2)))) (/ (* (+ (* -2 (* x (pow z 2))) (* -1 (* x z))) (+ (* -1 (* (pow x 3) (pow z 3))) (pow x 3))) (pow (+ (* x (- x (* -1 (* x z)))) (* (pow x 2) (pow z 2))) 2)))) (+ (* x (- x (* -1 (* x z)))) (* (pow x 2) (pow z 2)))) (/ (* (pow z 2) (+ (* -1 (* (pow x 3) (pow z 3))) (pow x 3))) (pow (+ (* x (- x (* -1 (* x z)))) (* (pow x 2) (pow z 2))) 2))))) (+ (* x (- x (* -1 (* x z)))) (* (pow x 2) (pow z 2)))) (/ (* (pow z 2) (- (/ (* (pow z 3) (+ (* 2 (pow x 2)) (pow x 2))) (+ (* x (- x (* -1 (* x z)))) (* (pow x 2) (pow z 2)))) (/ (* (+ (* -2 (* x (pow z 2))) (* -1 (* x z))) (+ (* -1 (* (pow x 3) (pow z 3))) (pow x 3))) (pow (+ (* x (- x (* -1 (* x z)))) (* (pow x 2) (pow z 2))) 2)))) (+ (* x (- x (* -1 (* x z)))) (* (pow x 2) (pow z 2))))))) (/ (* (pow z 3) (+ (* -2 x) (* -1 x))) (+ (* x (- x (* -1 (* x z)))) (* (pow x 2) (pow z 2))))) (+ (/ (* (+ (* -2 (* x (pow z 2))) (* -1 (* x z))) (- (/ (* (pow z 3) (+ (* 2 (pow x 2)) (pow x 2))) (+ (* x (- x (* -1 (* x z)))) (* (pow x 2) (pow z 2)))) (/ (* (+ (* -2 (* x (pow z 2))) (* -1 (* x z))) (+ (* -1 (* (pow x 3) (pow z 3))) (pow x 3))) (pow (+ (* x (- x (* -1 (* x z)))) (* (pow x 2) (pow z 2))) 2)))) (+ (* x (- x (* -1 (* x z)))) (* (pow x 2) (pow z 2)))) (/ (* (pow z 2) (+ (* -1 (* (pow x 3) (pow z 3))) (pow x 3))) (pow (+ (* x (- x (* -1 (* x z)))) (* (pow x 2) (pow z 2))) 2))))) (/ (* (pow z 3) (+ (* 2 (pow x 2)) (pow x 2))) (+ (* x (- x (* -1 (* x z)))) (* (pow x 2) (pow z 2))))) (/ (* (+ (* -2 (* x (pow z 2))) (* -1 (* x z))) (+ (* -1 (* (pow x 3) (pow z 3))) (pow x 3))) (pow (+ (* x (- x (* -1 (* x z)))) (* (pow x 2) (pow z 2))) 2)))) (/ (pow x 3) (+ (* x (- x (* -1 (* x z)))) (* (pow x 2) (pow z 2))))))> |
#<alt (* t z)> |
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#<alt (* t (- (+ z (+ (* -1 (/ (* (pow x 3) z) (pow t 3))) (+ (/ (* z (+ (* -2 x) (* -1 x))) t) (+ (/ (* z (+ (* 2 (pow x 2)) (pow x 2))) (pow t 2)) (/ (pow x 3) (* (pow t 3) (pow z 2))))))) (+ (* -2 (/ (* x z) t)) (+ (* -1 (/ x t)) (+ (/ (* x (- x (* -1 (* x z)))) (* (pow t 2) z)) (+ (/ (* (+ (* -2 (* x (pow z 2))) (* -1 (* x z))) (- (* z (+ (* -2 x) (* -1 x))) (+ (* -2 (* x z)) (* -1 x)))) (* (pow t 2) (pow z 2))) (+ (/ (* (+ (* -2 (* x (pow z 2))) (* -1 (* x z))) (- (* z (+ (* 2 (pow x 2)) (pow x 2))) (+ (* (pow x 2) z) (+ (/ (* x (- x (* -1 (* x z)))) z) (/ (* (+ (* -2 (* x (pow z 2))) (* -1 (* x z))) (- (* z (+ (* -2 x) (* -1 x))) (+ (* -2 (* x z)) (* -1 x)))) (pow z 2)))))) (* (pow t 3) (pow z 2))) (+ (/ (* (+ (* x (- x (* -1 (* x z)))) (* (pow x 2) (pow z 2))) (- (* z (+ (* -2 x) (* -1 x))) (+ (* -2 (* x z)) (* -1 x)))) (* (pow t 3) (pow z 2))) (/ (* (pow x 2) z) (pow t 2))))))))))> |
#<alt (* t z)> |
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#<alt x> |
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#<alt (+ (* t (- (+ (* -2 (/ (* x (pow z 2)) (+ (* -1 (* (pow x 3) (pow z 3))) (pow x 3)))) (* -1 (/ (* x z) (+ (* -1 (* (pow x 3) (pow z 3))) (pow x 3))))) (/ (* (pow z 3) (* (+ (* 2 (pow x 2)) (pow x 2)) (+ (* x (- x (* -1 (* x z)))) (* (pow x 2) (pow z 2))))) (pow (+ (* -1 (* (pow x 3) (pow z 3))) (pow x 3)) 2)))) (+ (/ (* x (- x (* -1 (* x z)))) (+ (* -1 (* (pow x 3) (pow z 3))) (pow x 3))) (/ (* (pow x 2) (pow z 2)) (+ (* -1 (* (pow x 3) (pow z 3))) (pow x 3)))))> |
#<alt (+ (* t (- (+ (* -2 (/ (* x (pow z 2)) (+ (* -1 (* (pow x 3) (pow z 3))) (pow x 3)))) (+ (* -1 (/ (* x z) (+ (* -1 (* (pow x 3) (pow z 3))) (pow x 3)))) (* t (- (/ (pow z 2) (+ (* -1 (* (pow x 3) (pow z 3))) (pow x 3))) (+ (/ (* (pow z 3) (* (+ (* -2 x) (* -1 x)) (+ (* x (- x (* -1 (* x z)))) (* (pow x 2) (pow z 2))))) (pow (+ (* -1 (* (pow x 3) (pow z 3))) (pow x 3)) 2)) (/ (* (pow z 3) (* (+ (* 2 (pow x 2)) (pow x 2)) (- (+ (* -2 (/ (* x (pow z 2)) (+ (* -1 (* (pow x 3) (pow z 3))) (pow x 3)))) (* -1 (/ (* x z) (+ (* -1 (* (pow x 3) (pow z 3))) (pow x 3))))) (/ (* (pow z 3) (* (+ (* 2 (pow x 2)) (pow x 2)) (+ (* x (- x (* -1 (* x z)))) (* (pow x 2) (pow z 2))))) (pow (+ (* -1 (* (pow x 3) (pow z 3))) (pow x 3)) 2))))) (+ (* -1 (* (pow x 3) (pow z 3))) (pow x 3)))))))) (/ (* (pow z 3) (* (+ (* 2 (pow x 2)) (pow x 2)) (+ (* x (- x (* -1 (* x z)))) (* (pow x 2) (pow z 2))))) (pow (+ (* -1 (* (pow x 3) (pow z 3))) (pow x 3)) 2)))) (+ (/ (* x (- x (* -1 (* x z)))) (+ (* -1 (* (pow x 3) (pow z 3))) (pow x 3))) (/ (* (pow x 2) (pow z 2)) (+ (* -1 (* (pow x 3) (pow z 3))) (pow x 3)))))> |
#<alt (+ (* t (- (+ (* -2 (/ (* x (pow z 2)) (+ (* -1 (* (pow x 3) (pow z 3))) (pow x 3)))) (+ (* -1 (/ (* x z) (+ (* -1 (* (pow x 3) (pow z 3))) (pow x 3)))) (* t (- (+ (* -1 (* t (+ (/ (* (pow z 3) (* (+ (* -2 x) (* -1 x)) (- (+ (* -2 (/ (* x (pow z 2)) (+ (* -1 (* (pow x 3) (pow z 3))) (pow x 3)))) (* -1 (/ (* x z) (+ (* -1 (* (pow x 3) (pow z 3))) (pow x 3))))) (/ (* (pow z 3) (* (+ (* 2 (pow x 2)) (pow x 2)) (+ (* x (- x (* -1 (* x z)))) (* (pow x 2) (pow z 2))))) (pow (+ (* -1 (* (pow x 3) (pow z 3))) (pow x 3)) 2))))) (+ (* -1 (* (pow x 3) (pow z 3))) (pow x 3))) (+ (/ (* (pow z 3) (* (+ (* 2 (pow x 2)) (pow x 2)) (- (/ (pow z 2) (+ (* -1 (* (pow x 3) (pow z 3))) (pow x 3))) (+ (/ (* (pow z 3) (* (+ (* -2 x) (* -1 x)) (+ (* x (- x (* -1 (* x z)))) (* (pow x 2) (pow z 2))))) (pow (+ (* -1 (* (pow x 3) (pow z 3))) (pow x 3)) 2)) (/ (* (pow z 3) (* (+ (* 2 (pow x 2)) (pow x 2)) (- (+ (* -2 (/ (* x (pow z 2)) (+ (* -1 (* (pow x 3) (pow z 3))) (pow x 3)))) (* -1 (/ (* x z) (+ (* -1 (* (pow x 3) (pow z 3))) (pow x 3))))) (/ (* (pow z 3) (* (+ (* 2 (pow x 2)) (pow x 2)) (+ (* x (- x (* -1 (* x z)))) (* (pow x 2) (pow z 2))))) (pow (+ (* -1 (* (pow x 3) (pow z 3))) (pow x 3)) 2))))) (+ (* -1 (* (pow x 3) (pow z 3))) (pow x 3))))))) (+ (* -1 (* (pow x 3) (pow z 3))) (pow x 3))) (/ (* (pow z 3) (+ (* x (- x (* -1 (* x z)))) (* (pow x 2) (pow z 2)))) (pow (+ (* -1 (* (pow x 3) (pow z 3))) (pow x 3)) 2)))))) (/ (pow z 2) (+ (* -1 (* (pow x 3) (pow z 3))) (pow x 3)))) (+ (/ (* (pow z 3) (* (+ (* -2 x) (* -1 x)) (+ (* x (- x (* -1 (* x z)))) (* (pow x 2) (pow z 2))))) (pow (+ (* -1 (* (pow x 3) (pow z 3))) (pow x 3)) 2)) (/ (* (pow z 3) (* (+ (* 2 (pow x 2)) (pow x 2)) (- (+ (* -2 (/ (* x (pow z 2)) (+ (* -1 (* (pow x 3) (pow z 3))) (pow x 3)))) (* -1 (/ (* x z) (+ (* -1 (* (pow x 3) (pow z 3))) (pow x 3))))) (/ (* (pow z 3) (* (+ (* 2 (pow x 2)) (pow x 2)) (+ (* x (- x (* -1 (* x z)))) (* (pow x 2) (pow z 2))))) (pow (+ (* -1 (* (pow x 3) (pow z 3))) (pow x 3)) 2))))) (+ (* -1 (* (pow x 3) (pow z 3))) (pow x 3)))))))) (/ (* (pow z 3) (* (+ (* 2 (pow x 2)) (pow x 2)) (+ (* x (- x (* -1 (* x z)))) (* (pow x 2) (pow z 2))))) (pow (+ (* -1 (* (pow x 3) (pow z 3))) (pow x 3)) 2)))) (+ (/ (* x (- x (* -1 (* x z)))) (+ (* -1 (* (pow x 3) (pow z 3))) (pow x 3))) (/ (* (pow x 2) (pow z 2)) (+ (* -1 (* (pow x 3) (pow z 3))) (pow x 3)))))> |
#<alt (/ 1 (* t z))> |
#<alt (/ (- (+ (* -1 (/ x (* t (pow z 2)))) (/ 1 z)) (* -1 (/ x (* t z)))) t)> |
#<alt (/ (- (+ (* -1 (/ x (* t (pow z 2)))) (+ (/ 1 z) (/ (* x (- x (* -1 (* x z)))) (* (pow t 2) (pow z 3))))) (+ (* -1 (/ x (* t z))) (+ (* 2 (/ (pow x 2) (* (pow t 2) z))) (/ (* (+ (* -2 x) (* -1 x)) (- (* -1 (/ x (pow z 2))) (* -1 (/ x z)))) (pow t 2))))) t)> |
#<alt (/ (- (+ (* -1 (/ x (* t (pow z 2)))) (+ (* -1 (/ (+ (* -1 (/ (pow x 3) z)) (+ (* (+ (* -2 x) (* -1 x)) (- (/ (* x (- x (* -1 (* x z)))) (pow z 3)) (+ (* 2 (/ (pow x 2) z)) (* (+ (* -2 x) (* -1 x)) (- (* -1 (/ x (pow z 2))) (* -1 (/ x z))))))) (+ (* (+ (* 2 (pow x 2)) (pow x 2)) (- (* -1 (/ x (pow z 2))) (* -1 (/ x z)))) (/ (pow x 3) (pow z 4))))) (pow t 3))) (+ (/ 1 z) (/ (* x (- x (* -1 (* x z)))) (* (pow t 2) (pow z 3)))))) (+ (* -1 (/ x (* t z))) (+ (* 2 (/ (pow x 2) (* (pow t 2) z))) (/ (* (+ (* -2 x) (* -1 x)) (- (* -1 (/ x (pow z 2))) (* -1 (/ x z)))) (pow t 2))))) t)> |
#<alt (/ 1 (* t z))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* 2 (* x (pow z 2))) (* x z)) (pow z 3))) (* -1 (/ (+ x (* 2 x)) z))) t)) (/ 1 z)) t))> |
#<alt (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (+ (* 2 (* x (pow z 2))) (* x z)) (pow z 3))) (* -1 (/ (- (* -1 (/ (+ (* x (- x (* -1 (* x z)))) (* (pow x 2) (pow z 2))) (pow z 3))) (+ (* -1 (/ (+ (* 2 (pow x 2)) (pow x 2)) z)) (* (+ x (* 2 x)) (- (* -1 (/ (+ (* 2 (* x (pow z 2))) (* x z)) (pow z 3))) (* -1 (/ (+ x (* 2 x)) z)))))) t))) (* -1 (/ (+ x (* 2 x)) z))) t)) (/ 1 z)) t))> |
#<alt (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (+ (* 2 (* x (pow z 2))) (* x z)) (pow z 3))) (* -1 (/ (- (+ (* -1 (/ (+ (* x (- x (* -1 (* x z)))) (* (pow x 2) (pow z 2))) (pow z 3))) (+ (* -1 (/ (pow x 3) (* t z))) (+ (/ (* (+ x (* 2 x)) (- (* -1 (/ (+ (* x (- x (* -1 (* x z)))) (* (pow x 2) (pow z 2))) (pow z 3))) (+ (* -1 (/ (+ (* 2 (pow x 2)) (pow x 2)) z)) (* (+ x (* 2 x)) (- (* -1 (/ (+ (* 2 (* x (pow z 2))) (* x z)) (pow z 3))) (* -1 (/ (+ x (* 2 x)) z))))))) t) (+ (/ (* (+ (* 2 (pow x 2)) (pow x 2)) (- (* -1 (/ (+ (* 2 (* x (pow z 2))) (* x z)) (pow z 3))) (* -1 (/ (+ x (* 2 x)) z)))) t) (/ (pow x 3) (* t (pow z 4))))))) (+ (* -1 (/ (+ (* 2 (pow x 2)) (pow x 2)) z)) (* (+ x (* 2 x)) (- (* -1 (/ (+ (* 2 (* x (pow z 2))) (* x z)) (pow z 3))) (* -1 (/ (+ x (* 2 x)) z)))))) t))) (* -1 (/ (+ x (* 2 x)) z))) t)) (/ 1 z)) t))> |
#<alt (* (pow z 3) (pow (- t x) 3))> |
#<alt (* (pow z 3) (pow (- t x) 3))> |
#<alt (* (pow z 3) (pow (- t x) 3))> |
#<alt (* (pow z 3) (pow (- t x) 3))> |
#<alt (* (pow z 3) (pow (- t x) 3))> |
#<alt (* (pow z 3) (pow (- t x) 3))> |
#<alt (* (pow z 3) (pow (- t x) 3))> |
#<alt (* (pow z 3) (pow (- t x) 3))> |
#<alt (* (pow z 3) (pow (- t x) 3))> |
#<alt (* (pow z 3) (pow (- t x) 3))> |
#<alt (* (pow z 3) (pow (- t x) 3))> |
#<alt (* (pow z 3) (pow (- t x) 3))> |
#<alt (* -1 (* (pow x 3) (pow z 3)))> |
#<alt (+ (* -1 (* (pow x 3) (pow z 3))) (* t (* (pow z 3) (+ (* 2 (pow x 2)) (pow x 2)))))> |
#<alt (+ (* -1 (* (pow x 3) (pow z 3))) (* t (+ (* t (* (pow z 3) (+ (* -2 x) (* -1 x)))) (* (pow z 3) (+ (* 2 (pow x 2)) (pow x 2))))))> |
#<alt (+ (* -1 (* (pow x 3) (pow z 3))) (* t (+ (* t (+ (* t (pow z 3)) (* (pow z 3) (+ (* -2 x) (* -1 x))))) (* (pow z 3) (+ (* 2 (pow x 2)) (pow x 2))))))> |
#<alt (* (pow t 3) (pow z 3))> |
#<alt (* (pow t 3) (+ (/ (* (pow z 3) (+ (* -2 x) (* -1 x))) t) (pow z 3)))> |
#<alt (* (pow t 3) (+ (/ (* (pow z 3) (+ (* -2 x) (* -1 x))) t) (+ (/ (* (pow z 3) (+ (* 2 (pow x 2)) (pow x 2))) (pow t 2)) (pow z 3))))> |
#<alt (* (pow t 3) (+ (* -1 (/ (* (pow x 3) (pow z 3)) (pow t 3))) (+ (/ (* (pow z 3) (+ (* -2 x) (* -1 x))) t) (+ (/ (* (pow z 3) (+ (* 2 (pow x 2)) (pow x 2))) (pow t 2)) (pow z 3)))))> |
#<alt (* (pow t 3) (pow z 3))> |
#<alt (* -1 (* (pow t 3) (+ (* -1 (pow z 3)) (/ (* (pow z 3) (+ x (* 2 x))) t))))> |
#<alt (* -1 (* (pow t 3) (+ (* -1 (/ (+ (* -1 (* (pow z 3) (+ x (* 2 x)))) (/ (* (pow z 3) (+ (* 2 (pow x 2)) (pow x 2))) t)) t)) (* -1 (pow z 3)))))> |
#<alt (* -1 (* (pow t 3) (+ (* -1 (/ (+ (* -1 (* (pow z 3) (+ x (* 2 x)))) (* -1 (/ (+ (* -1 (* (pow z 3) (+ (* 2 (pow x 2)) (pow x 2)))) (/ (* (pow x 3) (pow z 3)) t)) t))) t)) (* -1 (pow z 3)))))> |
#<alt (* (pow t 3) (pow z 3))> |
#<alt (+ (* x (* (pow z 3) (+ (* -2 (pow t 2)) (* -1 (pow t 2))))) (* (pow t 3) (pow z 3)))> |
#<alt (+ (* x (+ (* x (* (pow z 3) (+ t (* 2 t)))) (* (pow z 3) (+ (* -2 (pow t 2)) (* -1 (pow t 2)))))) (* (pow t 3) (pow z 3)))> |
#<alt (+ (* x (+ (* x (+ (* -1 (* x (pow z 3))) (* (pow z 3) (+ t (* 2 t))))) (* (pow z 3) (+ (* -2 (pow t 2)) (* -1 (pow t 2)))))) (* (pow t 3) (pow z 3)))> |
#<alt (* -1 (* (pow x 3) (pow z 3)))> |
#<alt (* (pow x 3) (+ (* -1 (pow z 3)) (/ (* (pow z 3) (+ t (* 2 t))) x)))> |
#<alt (* (pow x 3) (+ (* -1 (pow z 3)) (+ (/ (* (pow z 3) (+ t (* 2 t))) x) (/ (* (pow z 3) (+ (* -2 (pow t 2)) (* -1 (pow t 2)))) (pow x 2)))))> |
#<alt (* (pow x 3) (+ (* -1 (pow z 3)) (+ (/ (* (pow t 3) (pow z 3)) (pow x 3)) (+ (/ (* (pow z 3) (+ t (* 2 t))) x) (/ (* (pow z 3) (+ (* -2 (pow t 2)) (* -1 (pow t 2)))) (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (pow z 3)))> |
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (* (pow z 3) (+ t (* 2 t))) x)) (pow z 3))))> |
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (* (pow z 3) (+ (* 2 (pow t 2)) (pow t 2))) x)) (* (pow z 3) (+ t (* 2 t)))) x)) (pow z 3))))> |
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow t 3) (pow z 3)) x)) (* (pow z 3) (+ (* 2 (pow t 2)) (pow t 2)))) x)) (* (pow z 3) (+ t (* 2 t)))) x)) (pow z 3))))> |
#<alt (* (pow t 3) (pow z 3))> |
#<alt (+ (* x (* (pow z 3) (+ (* -2 (pow t 2)) (* -1 (pow t 2))))) (* (pow t 3) (pow z 3)))> |
#<alt (+ (* x (+ (* x (* (pow z 3) (+ t (* 2 t)))) (* (pow z 3) (+ (* -2 (pow t 2)) (* -1 (pow t 2)))))) (* (pow t 3) (pow z 3)))> |
#<alt (+ (* x (+ (* x (+ (* x (+ 1 (* -1 (pow z 3)))) (* (pow z 3) (+ t (* 2 t))))) (* (pow z 3) (+ (* -2 (pow t 2)) (* -1 (pow t 2)))))) (* (pow t 3) (pow z 3)))> |
#<alt (* (pow x 3) (+ 1 (* -1 (pow z 3))))> |
#<alt (* (pow x 3) (+ 1 (+ (* -1 (pow z 3)) (/ (* (pow z 3) (+ t (* 2 t))) x))))> |
#<alt (* (pow x 3) (+ 1 (+ (* -1 (pow z 3)) (+ (/ (* (pow z 3) (+ t (* 2 t))) x) (/ (* (pow z 3) (+ (* -2 (pow t 2)) (* -1 (pow t 2)))) (pow x 2))))))> |
#<alt (* (pow x 3) (+ 1 (+ (* -1 (pow z 3)) (+ (/ (* (pow t 3) (pow z 3)) (pow x 3)) (+ (/ (* (pow z 3) (+ t (* 2 t))) x) (/ (* (pow z 3) (+ (* -2 (pow t 2)) (* -1 (pow t 2)))) (pow x 2)))))))> |
#<alt (* -1 (* (pow x 3) (- (pow z 3) 1)))> |
#<alt (* -1 (* (pow x 3) (- (+ (* -1 (/ (* (pow z 3) (+ t (* 2 t))) x)) (pow z 3)) 1)))> |
#<alt (* -1 (* (pow x 3) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow z 3) (+ (* 2 (pow t 2)) (pow t 2))) x)) (* (pow z 3) (+ t (* 2 t)))) x)) (pow z 3)) 1)))> |
#<alt (* -1 (* (pow x 3) (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow t 3) (pow z 3)) x)) (* (pow z 3) (+ (* 2 (pow t 2)) (pow t 2)))) x)) (* (pow z 3) (+ t (* 2 t)))) x)) (pow z 3)) 1)))> |
#<alt (pow x 3)> |
#<alt (+ (* (pow z 3) (pow (- t x) 3)) (pow x 3))> |
#<alt (+ (* (pow z 3) (pow (- t x) 3)) (pow x 3))> |
#<alt (+ (* (pow z 3) (pow (- t x) 3)) (pow x 3))> |
#<alt (* (pow z 3) (pow (- t x) 3))> |
#<alt (* (pow z 3) (+ (/ (pow x 3) (pow z 3)) (pow (- t x) 3)))> |
#<alt (* (pow z 3) (+ (/ (pow x 3) (pow z 3)) (pow (- t x) 3)))> |
#<alt (* (pow z 3) (+ (/ (pow x 3) (pow z 3)) (pow (- t x) 3)))> |
#<alt (* (pow z 3) (pow (- t x) 3))> |
#<alt (* -1 (* (pow z 3) (+ (* -1 (/ (pow x 3) (pow z 3))) (* -1 (pow (- t x) 3)))))> |
#<alt (* -1 (* (pow z 3) (+ (* -1 (/ (pow x 3) (pow z 3))) (* -1 (pow (- t x) 3)))))> |
#<alt (* -1 (* (pow z 3) (+ (* -1 (/ (pow x 3) (pow z 3))) (* -1 (pow (- t x) 3)))))> |
#<alt (+ (* -1 (* (pow x 3) (pow z 3))) (pow x 3))> |
#<alt (+ (* -1 (* (pow x 3) (pow z 3))) (+ (* t (* (pow z 3) (+ (* 2 (pow x 2)) (pow x 2)))) (pow x 3)))> |
#<alt (+ (* -1 (* (pow x 3) (pow z 3))) (+ (* t (+ (* t (* (pow z 3) (+ (* -2 x) (* -1 x)))) (* (pow z 3) (+ (* 2 (pow x 2)) (pow x 2))))) (pow x 3)))> |
#<alt (+ (* -1 (* (pow x 3) (pow z 3))) (+ (* t (+ (* t (+ (* t (pow z 3)) (* (pow z 3) (+ (* -2 x) (* -1 x))))) (* (pow z 3) (+ (* 2 (pow x 2)) (pow x 2))))) (pow x 3)))> |
#<alt (* (pow t 3) (pow z 3))> |
#<alt (* (pow t 3) (+ (/ (* (pow z 3) (+ (* -2 x) (* -1 x))) t) (pow z 3)))> |
#<alt (* (pow t 3) (+ (/ (* (pow z 3) (+ (* -2 x) (* -1 x))) t) (+ (/ (* (pow z 3) (+ (* 2 (pow x 2)) (pow x 2))) (pow t 2)) (pow z 3))))> |
#<alt (* (pow t 3) (+ (* -1 (/ (* (pow x 3) (pow z 3)) (pow t 3))) (+ (/ (* (pow z 3) (+ (* -2 x) (* -1 x))) t) (+ (/ (* (pow z 3) (+ (* 2 (pow x 2)) (pow x 2))) (pow t 2)) (+ (/ (pow x 3) (pow t 3)) (pow z 3))))))> |
#<alt (* (pow t 3) (pow z 3))> |
#<alt (* -1 (* (pow t 3) (+ (* -1 (pow z 3)) (/ (* (pow z 3) (+ x (* 2 x))) t))))> |
#<alt (* -1 (* (pow t 3) (+ (* -1 (/ (+ (* -1 (* (pow z 3) (+ x (* 2 x)))) (/ (* (pow z 3) (+ (* 2 (pow x 2)) (pow x 2))) t)) t)) (* -1 (pow z 3)))))> |
#<alt (* -1 (* (pow t 3) (+ (* -1 (/ (+ (* -1 (* (pow z 3) (+ x (* 2 x)))) (* -1 (/ (+ (* -1 (* (pow z 3) (+ (* 2 (pow x 2)) (pow x 2)))) (* -1 (/ (+ (* -1 (* (pow x 3) (pow z 3))) (pow x 3)) t))) t))) t)) (* -1 (pow z 3)))))> |
219 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 63.0ms | z | @ | 0 | (* z (* (- t x) (* z (- t x)))) |
| 54.0ms | x | @ | 0 | (/ 1 (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x))))))) |
| 49.0ms | t | @ | -inf | (+ (* (+ (* (tanh (/ t y)) z) (* (neg (tanh (/ x y))) z)) y) x) |
| 6.0ms | t | @ | inf | (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) |
| 2.0ms | x | @ | inf | (/ 1 (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x))))))) |
| 1× | egg-herbie |
| 7 180× | lower-*.f64 |
| 7 180× | lower-*.f32 |
| 6 892× | lower-fma.f64 |
| 6 892× | lower-fma.f32 |
| 4 662× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 2184 | 36636 |
| 1 | 7384 | 36612 |
| 0 | 8907 | 35285 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ (* z (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(+ (* -1 (/ (* z (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (* t z) y)) |
(+ (* -1 (/ (* z (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (* t (+ (* -1/3 (/ (* (pow t 2) z) (pow y 3))) (/ z y)))) |
(+ (* -1 (/ (* z (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (* t (+ (* (pow t 2) (+ (* -1/3 (/ z (pow y 3))) (* 2/15 (/ (* (pow t 2) z) (pow y 5))))) (/ z y)))) |
(+ (* -1 (/ (* z (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (* z (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) |
(+ (* -1 (/ (* z (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (* z (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) |
(+ (* -1 (/ (* z (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (* z (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) |
(+ (* -1 (/ (* z (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (* z (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) |
(+ (* -1 (/ (* z (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (* z (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) |
(+ (* -1 (/ (* z (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (* z (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) |
(+ (* -1 (/ (* z (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (* z (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) |
(+ (* -1 (/ (* z (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (* z (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) |
(+ (* -1 (/ (* z (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (* z (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) |
(+ (* -1 (/ (* z (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (* z (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) |
(+ (* -1 (/ (* z (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (* z (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) |
(+ (* -1 (/ (* z (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (* z (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) |
(/ (+ (* -1 (* x z)) (* t z)) y) |
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x |
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(* t z) |
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(* t z) |
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(* (pow t 2) (pow z 2)) |
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(* (pow x 2) (+ 1 (+ z (pow z 2)))) |
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(* (pow x 2) (+ 1 (+ z (+ (* -1 (/ (+ (* -1 (/ (* (pow t 2) (pow z 2)) x)) (+ (* 2 (* t (pow z 2))) (* t z))) x)) (pow z 2))))) |
(pow x 2) |
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(+ (* z (+ (* x (- x t)) (* z (pow (- t x) 2)))) (pow x 2)) |
(+ (* z (+ (* x (- x t)) (* z (pow (- t x) 2)))) (pow x 2)) |
(* (pow z 2) (pow (- t x) 2)) |
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(* (pow z 2) (+ (/ (* x (- x t)) z) (+ (/ (pow x 2) (pow z 2)) (pow (- t x) 2)))) |
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(* (pow z 2) (pow (- t x) 2)) |
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(* (pow t 2) (pow z 2)) |
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(* (pow t 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* x (- x (* -1 (* x z)))) (* (pow x 2) (pow z 2))) t)) (+ (* 2 (* x (pow z 2))) (* x z))) t)) (pow z 2))) |
(* (pow t 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* x (- x (* -1 (* x z)))) (* (pow x 2) (pow z 2))) t)) (+ (* 2 (* x (pow z 2))) (* x z))) t)) (pow z 2))) |
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x |
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x |
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x |
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(+ x (* z (- t x))) |
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(+ x (* -1 (* z (- (* -1 t) (* -1 x))))) |
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x |
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(* -1 (/ (+ 1 (+ z (pow z 2))) (* x (- (pow z 3) 1)))) |
(* -1 (/ (+ (* -1 (/ (- (+ (* 2 (/ (* t (pow z 2)) (- (pow z 3) 1))) (/ (* t z) (- (pow z 3) 1))) (/ (* (pow z 3) (* (+ 1 (+ z (pow z 2))) (+ t (* 2 t)))) (pow (- (pow z 3) 1) 2))) x)) (+ (/ 1 (- (pow z 3) 1)) (+ (/ z (- (pow z 3) 1)) (/ (pow z 2) (- (pow z 3) 1))))) x)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (/ (* (pow t 2) (pow z 2)) (- (pow z 3) 1)) (+ (/ (* (pow z 3) (* (+ 1 (+ z (pow z 2))) (+ (* 2 (pow t 2)) (pow t 2)))) (pow (- (pow z 3) 1) 2)) (/ (* (pow z 3) (* (+ t (* 2 t)) (- (+ (* 2 (/ (* t (pow z 2)) (- (pow z 3) 1))) (/ (* t z) (- (pow z 3) 1))) (/ (* (pow z 3) (* (+ 1 (+ z (pow z 2))) (+ t (* 2 t)))) (pow (- (pow z 3) 1) 2))))) (- (pow z 3) 1)))) x)) (+ (* 2 (/ (* t (pow z 2)) (- (pow z 3) 1))) (/ (* t z) (- (pow z 3) 1)))) (/ (* (pow z 3) (* (+ 1 (+ z (pow z 2))) (+ t (* 2 t)))) (pow (- (pow z 3) 1) 2))) x)) (+ (/ 1 (- (pow z 3) 1)) (+ (/ z (- (pow z 3) 1)) (/ (pow z 2) (- (pow z 3) 1))))) x)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (/ (* (pow t 2) (pow z 2)) (- (pow z 3) 1)) (+ (/ (* (pow t 3) (* (pow z 3) (+ 1 (+ z (pow z 2))))) (* x (pow (- (pow z 3) 1) 2))) (+ (/ (* (pow z 3) (* (+ t (* 2 t)) (- (/ (* (pow t 2) (pow z 2)) (- (pow z 3) 1)) (+ (/ (* (pow z 3) (* (+ 1 (+ z (pow z 2))) (+ (* 2 (pow t 2)) (pow t 2)))) (pow (- (pow z 3) 1) 2)) (/ (* (pow z 3) (* (+ t (* 2 t)) (- (+ (* 2 (/ (* t (pow z 2)) (- (pow z 3) 1))) (/ (* t z) (- (pow z 3) 1))) (/ (* (pow z 3) (* (+ 1 (+ z (pow z 2))) (+ t (* 2 t)))) (pow (- (pow z 3) 1) 2))))) (- (pow z 3) 1)))))) (* x (- (pow z 3) 1))) (/ (* (pow z 3) (* (+ (* 2 (pow t 2)) (pow t 2)) (- (+ (* 2 (/ (* t (pow z 2)) (- (pow z 3) 1))) (/ (* t z) (- (pow z 3) 1))) (/ (* (pow z 3) (* (+ 1 (+ z (pow z 2))) (+ t (* 2 t)))) (pow (- (pow z 3) 1) 2))))) (* x (- (pow z 3) 1)))))) (+ (/ (* (pow z 3) (* (+ 1 (+ z (pow z 2))) (+ (* 2 (pow t 2)) (pow t 2)))) (pow (- (pow z 3) 1) 2)) (/ (* (pow z 3) (* (+ t (* 2 t)) (- (+ (* 2 (/ (* t (pow z 2)) (- (pow z 3) 1))) (/ (* t z) (- (pow z 3) 1))) (/ (* (pow z 3) (* (+ 1 (+ z (pow z 2))) (+ t (* 2 t)))) (pow (- (pow z 3) 1) 2))))) (- (pow z 3) 1)))) x)) (+ (* 2 (/ (* t (pow z 2)) (- (pow z 3) 1))) (/ (* t z) (- (pow z 3) 1)))) (/ (* (pow z 3) (* (+ 1 (+ z (pow z 2))) (+ t (* 2 t)))) (pow (- (pow z 3) 1) 2))) x)) (+ (/ 1 (- (pow z 3) 1)) (+ (/ z (- (pow z 3) 1)) (/ (pow z 2) (- (pow z 3) 1))))) x)) |
(/ 1 x) |
(+ (* z (- (/ 1 x) (/ t (pow x 2)))) (/ 1 x)) |
(+ (* z (- (+ (/ 1 x) (/ (* z (pow (- t x) 2)) (pow x 3))) (/ t (pow x 2)))) (/ 1 x)) |
(+ (* z (- (+ (* z (+ (* -1 (/ (* z (pow (- t x) 3)) (pow x 4))) (/ (pow (- t x) 2) (pow x 3)))) (/ 1 x)) (/ t (pow x 2)))) (/ 1 x)) |
(/ 1 (* z (- t x))) |
(/ (+ (/ 1 (- t x)) (/ (* x (- x t)) (* z (pow (- t x) 3)))) z) |
(/ (+ (/ 1 (- t x)) (+ (/ (* x (- x t)) (* z (pow (- t x) 3))) (/ (pow x 2) (* (pow z 2) (pow (- t x) 3))))) z) |
(/ (+ (* -1 (/ (pow x 3) (* (pow z 3) (pow (- t x) 4)))) (+ (/ 1 (- t x)) (+ (/ (* x (- x t)) (* z (pow (- t x) 3))) (/ (pow x 2) (* (pow z 2) (pow (- t x) 3)))))) z) |
(/ 1 (* z (- t x))) |
(* -1 (/ (- (/ x (* z (pow (- t x) 2))) (/ 1 (- t x))) z)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ x (pow (- t x) 2))) (/ (pow x 2) (* z (pow (- t x) 3)))) z)) (/ 1 (- t x))) z)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ x (pow (- t x) 2))) (* -1 (/ (+ (* -1 (/ (pow x 2) (pow (- t x) 3))) (/ (pow x 3) (* z (pow (- t x) 4)))) z))) z)) (/ 1 (- t x))) z)) |
(/ (+ (* x (- x (* -1 (* x z)))) (* (pow x 2) (pow z 2))) (+ (* -1 (* (pow x 3) (pow z 3))) (pow x 3))) |
(+ (* t (- (+ (* -2 (/ (* x (pow z 2)) (+ (* -1 (* (pow x 3) (pow z 3))) (pow x 3)))) (* -1 (/ (* x z) (+ (* -1 (* (pow x 3) (pow z 3))) (pow x 3))))) (/ (* (pow z 3) (* (+ (* 2 (pow x 2)) (pow x 2)) (+ (* x (- x (* -1 (* x z)))) (* (pow x 2) (pow z 2))))) (pow (+ (* -1 (* (pow x 3) (pow z 3))) (pow x 3)) 2)))) (+ (/ (* x (- x (* -1 (* x z)))) (+ (* -1 (* (pow x 3) (pow z 3))) (pow x 3))) (/ (* (pow x 2) (pow z 2)) (+ (* -1 (* (pow x 3) (pow z 3))) (pow x 3))))) |
(+ (* t (- (+ (* -2 (/ (* x (pow z 2)) (+ (* -1 (* (pow x 3) (pow z 3))) (pow x 3)))) (+ (* -1 (/ (* x z) (+ (* -1 (* (pow x 3) (pow z 3))) (pow x 3)))) (* t (- (/ (pow z 2) (+ (* -1 (* (pow x 3) (pow z 3))) (pow x 3))) (+ (/ (* (pow z 3) (* (+ (* -2 x) (* -1 x)) (+ (* x (- x (* -1 (* x z)))) (* (pow x 2) (pow z 2))))) (pow (+ (* -1 (* (pow x 3) (pow z 3))) (pow x 3)) 2)) (/ (* (pow z 3) (* (+ (* 2 (pow x 2)) (pow x 2)) (- (+ (* -2 (/ (* x (pow z 2)) (+ (* -1 (* (pow x 3) (pow z 3))) (pow x 3)))) (* -1 (/ (* x z) (+ (* -1 (* (pow x 3) (pow z 3))) (pow x 3))))) (/ (* (pow z 3) (* (+ (* 2 (pow x 2)) (pow x 2)) (+ (* x (- x (* -1 (* x z)))) (* (pow x 2) (pow z 2))))) (pow (+ (* -1 (* (pow x 3) (pow z 3))) (pow x 3)) 2))))) (+ (* -1 (* (pow x 3) (pow z 3))) (pow x 3)))))))) (/ (* (pow z 3) (* (+ (* 2 (pow x 2)) (pow x 2)) (+ (* x (- x (* -1 (* x z)))) (* (pow x 2) (pow z 2))))) (pow (+ (* -1 (* (pow x 3) (pow z 3))) (pow x 3)) 2)))) (+ (/ (* x (- x (* -1 (* x z)))) (+ (* -1 (* (pow x 3) (pow z 3))) (pow x 3))) (/ (* (pow x 2) (pow z 2)) (+ (* -1 (* (pow x 3) (pow z 3))) (pow x 3))))) |
(+ (* t (- (+ (* -2 (/ (* x (pow z 2)) (+ (* -1 (* (pow x 3) (pow z 3))) (pow x 3)))) (+ (* -1 (/ (* x z) (+ (* -1 (* (pow x 3) (pow z 3))) (pow x 3)))) (* t (- (+ (* -1 (* t (+ (/ (* (pow z 3) (* (+ (* -2 x) (* -1 x)) (- (+ (* -2 (/ (* x (pow z 2)) (+ (* -1 (* (pow x 3) (pow z 3))) (pow x 3)))) (* -1 (/ (* x z) (+ (* -1 (* (pow x 3) (pow z 3))) (pow x 3))))) (/ (* (pow z 3) (* (+ (* 2 (pow x 2)) (pow x 2)) (+ (* x (- x (* -1 (* x z)))) (* (pow x 2) (pow z 2))))) (pow (+ (* -1 (* (pow x 3) (pow z 3))) (pow x 3)) 2))))) (+ (* -1 (* (pow x 3) (pow z 3))) (pow x 3))) (+ (/ (* (pow z 3) (* (+ (* 2 (pow x 2)) (pow x 2)) (- (/ (pow z 2) (+ (* -1 (* (pow x 3) (pow z 3))) (pow x 3))) (+ (/ (* (pow z 3) (* (+ (* -2 x) (* -1 x)) (+ (* x (- x (* -1 (* x z)))) (* (pow x 2) (pow z 2))))) (pow (+ (* -1 (* (pow x 3) (pow z 3))) (pow x 3)) 2)) (/ (* (pow z 3) (* (+ (* 2 (pow x 2)) (pow x 2)) (- (+ (* -2 (/ (* x (pow z 2)) (+ (* -1 (* (pow x 3) (pow z 3))) (pow x 3)))) (* -1 (/ (* x z) (+ (* -1 (* (pow x 3) (pow z 3))) (pow x 3))))) (/ (* (pow z 3) (* (+ (* 2 (pow x 2)) (pow x 2)) (+ (* x (- x (* -1 (* x z)))) (* (pow x 2) (pow z 2))))) (pow (+ (* -1 (* (pow x 3) (pow z 3))) (pow x 3)) 2))))) (+ (* -1 (* (pow x 3) (pow z 3))) (pow x 3))))))) (+ (* -1 (* (pow x 3) (pow z 3))) (pow x 3))) (/ (* (pow z 3) (+ (* x (- x (* -1 (* x z)))) (* (pow x 2) (pow z 2)))) (pow (+ (* -1 (* (pow x 3) (pow z 3))) (pow x 3)) 2)))))) (/ (pow z 2) (+ (* -1 (* (pow x 3) (pow z 3))) (pow x 3)))) (+ (/ (* (pow z 3) (* (+ (* -2 x) (* -1 x)) (+ (* x (- x (* -1 (* x z)))) (* (pow x 2) (pow z 2))))) (pow (+ (* -1 (* (pow x 3) (pow z 3))) (pow x 3)) 2)) (/ (* (pow z 3) (* (+ (* 2 (pow x 2)) (pow x 2)) (- (+ (* -2 (/ (* x (pow z 2)) (+ (* -1 (* (pow x 3) (pow z 3))) (pow x 3)))) (* -1 (/ (* x z) (+ (* -1 (* (pow x 3) (pow z 3))) (pow x 3))))) (/ (* (pow z 3) (* (+ (* 2 (pow x 2)) (pow x 2)) (+ (* x (- x (* -1 (* x z)))) (* (pow x 2) (pow z 2))))) (pow (+ (* -1 (* (pow x 3) (pow z 3))) (pow x 3)) 2))))) (+ (* -1 (* (pow x 3) (pow z 3))) (pow x 3)))))))) (/ (* (pow z 3) (* (+ (* 2 (pow x 2)) (pow x 2)) (+ (* x (- x (* -1 (* x z)))) (* (pow x 2) (pow z 2))))) (pow (+ (* -1 (* (pow x 3) (pow z 3))) (pow x 3)) 2)))) (+ (/ (* x (- x (* -1 (* x z)))) (+ (* -1 (* (pow x 3) (pow z 3))) (pow x 3))) (/ (* (pow x 2) (pow z 2)) (+ (* -1 (* (pow x 3) (pow z 3))) (pow x 3))))) |
(/ 1 (* t z)) |
(/ (- (+ (* -1 (/ x (* t (pow z 2)))) (/ 1 z)) (* -1 (/ x (* t z)))) t) |
(/ (- (+ (* -1 (/ x (* t (pow z 2)))) (+ (/ 1 z) (/ (* x (- x (* -1 (* x z)))) (* (pow t 2) (pow z 3))))) (+ (* -1 (/ x (* t z))) (+ (* 2 (/ (pow x 2) (* (pow t 2) z))) (/ (* (+ (* -2 x) (* -1 x)) (- (* -1 (/ x (pow z 2))) (* -1 (/ x z)))) (pow t 2))))) t) |
(/ (- (+ (* -1 (/ x (* t (pow z 2)))) (+ (* -1 (/ (+ (* -1 (/ (pow x 3) z)) (+ (* (+ (* -2 x) (* -1 x)) (- (/ (* x (- x (* -1 (* x z)))) (pow z 3)) (+ (* 2 (/ (pow x 2) z)) (* (+ (* -2 x) (* -1 x)) (- (* -1 (/ x (pow z 2))) (* -1 (/ x z))))))) (+ (* (+ (* 2 (pow x 2)) (pow x 2)) (- (* -1 (/ x (pow z 2))) (* -1 (/ x z)))) (/ (pow x 3) (pow z 4))))) (pow t 3))) (+ (/ 1 z) (/ (* x (- x (* -1 (* x z)))) (* (pow t 2) (pow z 3)))))) (+ (* -1 (/ x (* t z))) (+ (* 2 (/ (pow x 2) (* (pow t 2) z))) (/ (* (+ (* -2 x) (* -1 x)) (- (* -1 (/ x (pow z 2))) (* -1 (/ x z)))) (pow t 2))))) t) |
(/ 1 (* t z)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* 2 (* x (pow z 2))) (* x z)) (pow z 3))) (* -1 (/ (+ x (* 2 x)) z))) t)) (/ 1 z)) t)) |
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (+ (* 2 (* x (pow z 2))) (* x z)) (pow z 3))) (* -1 (/ (- (* -1 (/ (+ (* x (- x (* -1 (* x z)))) (* (pow x 2) (pow z 2))) (pow z 3))) (+ (* -1 (/ (+ (* 2 (pow x 2)) (pow x 2)) z)) (* (+ x (* 2 x)) (- (* -1 (/ (+ (* 2 (* x (pow z 2))) (* x z)) (pow z 3))) (* -1 (/ (+ x (* 2 x)) z)))))) t))) (* -1 (/ (+ x (* 2 x)) z))) t)) (/ 1 z)) t)) |
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (+ (* 2 (* x (pow z 2))) (* x z)) (pow z 3))) (* -1 (/ (- (+ (* -1 (/ (+ (* x (- x (* -1 (* x z)))) (* (pow x 2) (pow z 2))) (pow z 3))) (+ (* -1 (/ (pow x 3) (* t z))) (+ (/ (* (+ x (* 2 x)) (- (* -1 (/ (+ (* x (- x (* -1 (* x z)))) (* (pow x 2) (pow z 2))) (pow z 3))) (+ (* -1 (/ (+ (* 2 (pow x 2)) (pow x 2)) z)) (* (+ x (* 2 x)) (- (* -1 (/ (+ (* 2 (* x (pow z 2))) (* x z)) (pow z 3))) (* -1 (/ (+ x (* 2 x)) z))))))) t) (+ (/ (* (+ (* 2 (pow x 2)) (pow x 2)) (- (* -1 (/ (+ (* 2 (* x (pow z 2))) (* x z)) (pow z 3))) (* -1 (/ (+ x (* 2 x)) z)))) t) (/ (pow x 3) (* t (pow z 4))))))) (+ (* -1 (/ (+ (* 2 (pow x 2)) (pow x 2)) z)) (* (+ x (* 2 x)) (- (* -1 (/ (+ (* 2 (* x (pow z 2))) (* x z)) (pow z 3))) (* -1 (/ (+ x (* 2 x)) z)))))) t))) (* -1 (/ (+ x (* 2 x)) z))) t)) (/ 1 z)) t)) |
(* (pow z 3) (pow (- t x) 3)) |
(* (pow z 3) (pow (- t x) 3)) |
(* (pow z 3) (pow (- t x) 3)) |
(* (pow z 3) (pow (- t x) 3)) |
(* (pow z 3) (pow (- t x) 3)) |
(* (pow z 3) (pow (- t x) 3)) |
(* (pow z 3) (pow (- t x) 3)) |
(* (pow z 3) (pow (- t x) 3)) |
(* (pow z 3) (pow (- t x) 3)) |
(* (pow z 3) (pow (- t x) 3)) |
(* (pow z 3) (pow (- t x) 3)) |
(* (pow z 3) (pow (- t x) 3)) |
(* -1 (* (pow x 3) (pow z 3))) |
(+ (* -1 (* (pow x 3) (pow z 3))) (* t (* (pow z 3) (+ (* 2 (pow x 2)) (pow x 2))))) |
(+ (* -1 (* (pow x 3) (pow z 3))) (* t (+ (* t (* (pow z 3) (+ (* -2 x) (* -1 x)))) (* (pow z 3) (+ (* 2 (pow x 2)) (pow x 2)))))) |
(+ (* -1 (* (pow x 3) (pow z 3))) (* t (+ (* t (+ (* t (pow z 3)) (* (pow z 3) (+ (* -2 x) (* -1 x))))) (* (pow z 3) (+ (* 2 (pow x 2)) (pow x 2)))))) |
(* (pow t 3) (pow z 3)) |
(* (pow t 3) (+ (/ (* (pow z 3) (+ (* -2 x) (* -1 x))) t) (pow z 3))) |
(* (pow t 3) (+ (/ (* (pow z 3) (+ (* -2 x) (* -1 x))) t) (+ (/ (* (pow z 3) (+ (* 2 (pow x 2)) (pow x 2))) (pow t 2)) (pow z 3)))) |
(* (pow t 3) (+ (* -1 (/ (* (pow x 3) (pow z 3)) (pow t 3))) (+ (/ (* (pow z 3) (+ (* -2 x) (* -1 x))) t) (+ (/ (* (pow z 3) (+ (* 2 (pow x 2)) (pow x 2))) (pow t 2)) (pow z 3))))) |
(* (pow t 3) (pow z 3)) |
(* -1 (* (pow t 3) (+ (* -1 (pow z 3)) (/ (* (pow z 3) (+ x (* 2 x))) t)))) |
(* -1 (* (pow t 3) (+ (* -1 (/ (+ (* -1 (* (pow z 3) (+ x (* 2 x)))) (/ (* (pow z 3) (+ (* 2 (pow x 2)) (pow x 2))) t)) t)) (* -1 (pow z 3))))) |
(* -1 (* (pow t 3) (+ (* -1 (/ (+ (* -1 (* (pow z 3) (+ x (* 2 x)))) (* -1 (/ (+ (* -1 (* (pow z 3) (+ (* 2 (pow x 2)) (pow x 2)))) (/ (* (pow x 3) (pow z 3)) t)) t))) t)) (* -1 (pow z 3))))) |
(* (pow t 3) (pow z 3)) |
(+ (* x (* (pow z 3) (+ (* -2 (pow t 2)) (* -1 (pow t 2))))) (* (pow t 3) (pow z 3))) |
(+ (* x (+ (* x (* (pow z 3) (+ t (* 2 t)))) (* (pow z 3) (+ (* -2 (pow t 2)) (* -1 (pow t 2)))))) (* (pow t 3) (pow z 3))) |
(+ (* x (+ (* x (+ (* -1 (* x (pow z 3))) (* (pow z 3) (+ t (* 2 t))))) (* (pow z 3) (+ (* -2 (pow t 2)) (* -1 (pow t 2)))))) (* (pow t 3) (pow z 3))) |
(* -1 (* (pow x 3) (pow z 3))) |
(* (pow x 3) (+ (* -1 (pow z 3)) (/ (* (pow z 3) (+ t (* 2 t))) x))) |
(* (pow x 3) (+ (* -1 (pow z 3)) (+ (/ (* (pow z 3) (+ t (* 2 t))) x) (/ (* (pow z 3) (+ (* -2 (pow t 2)) (* -1 (pow t 2)))) (pow x 2))))) |
(* (pow x 3) (+ (* -1 (pow z 3)) (+ (/ (* (pow t 3) (pow z 3)) (pow x 3)) (+ (/ (* (pow z 3) (+ t (* 2 t))) x) (/ (* (pow z 3) (+ (* -2 (pow t 2)) (* -1 (pow t 2)))) (pow x 2)))))) |
(* -1 (* (pow x 3) (pow z 3))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (* (pow z 3) (+ t (* 2 t))) x)) (pow z 3)))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (* (pow z 3) (+ (* 2 (pow t 2)) (pow t 2))) x)) (* (pow z 3) (+ t (* 2 t)))) x)) (pow z 3)))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow t 3) (pow z 3)) x)) (* (pow z 3) (+ (* 2 (pow t 2)) (pow t 2)))) x)) (* (pow z 3) (+ t (* 2 t)))) x)) (pow z 3)))) |
(* (pow t 3) (pow z 3)) |
(+ (* x (* (pow z 3) (+ (* -2 (pow t 2)) (* -1 (pow t 2))))) (* (pow t 3) (pow z 3))) |
(+ (* x (+ (* x (* (pow z 3) (+ t (* 2 t)))) (* (pow z 3) (+ (* -2 (pow t 2)) (* -1 (pow t 2)))))) (* (pow t 3) (pow z 3))) |
(+ (* x (+ (* x (+ (* x (+ 1 (* -1 (pow z 3)))) (* (pow z 3) (+ t (* 2 t))))) (* (pow z 3) (+ (* -2 (pow t 2)) (* -1 (pow t 2)))))) (* (pow t 3) (pow z 3))) |
(* (pow x 3) (+ 1 (* -1 (pow z 3)))) |
(* (pow x 3) (+ 1 (+ (* -1 (pow z 3)) (/ (* (pow z 3) (+ t (* 2 t))) x)))) |
(* (pow x 3) (+ 1 (+ (* -1 (pow z 3)) (+ (/ (* (pow z 3) (+ t (* 2 t))) x) (/ (* (pow z 3) (+ (* -2 (pow t 2)) (* -1 (pow t 2)))) (pow x 2)))))) |
(* (pow x 3) (+ 1 (+ (* -1 (pow z 3)) (+ (/ (* (pow t 3) (pow z 3)) (pow x 3)) (+ (/ (* (pow z 3) (+ t (* 2 t))) x) (/ (* (pow z 3) (+ (* -2 (pow t 2)) (* -1 (pow t 2)))) (pow x 2))))))) |
(* -1 (* (pow x 3) (- (pow z 3) 1))) |
(* -1 (* (pow x 3) (- (+ (* -1 (/ (* (pow z 3) (+ t (* 2 t))) x)) (pow z 3)) 1))) |
(* -1 (* (pow x 3) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow z 3) (+ (* 2 (pow t 2)) (pow t 2))) x)) (* (pow z 3) (+ t (* 2 t)))) x)) (pow z 3)) 1))) |
(* -1 (* (pow x 3) (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow t 3) (pow z 3)) x)) (* (pow z 3) (+ (* 2 (pow t 2)) (pow t 2)))) x)) (* (pow z 3) (+ t (* 2 t)))) x)) (pow z 3)) 1))) |
(pow x 3) |
(+ (* (pow z 3) (pow (- t x) 3)) (pow x 3)) |
(+ (* (pow z 3) (pow (- t x) 3)) (pow x 3)) |
(+ (* (pow z 3) (pow (- t x) 3)) (pow x 3)) |
(* (pow z 3) (pow (- t x) 3)) |
(* (pow z 3) (+ (/ (pow x 3) (pow z 3)) (pow (- t x) 3))) |
(* (pow z 3) (+ (/ (pow x 3) (pow z 3)) (pow (- t x) 3))) |
(* (pow z 3) (+ (/ (pow x 3) (pow z 3)) (pow (- t x) 3))) |
(* (pow z 3) (pow (- t x) 3)) |
(* -1 (* (pow z 3) (+ (* -1 (/ (pow x 3) (pow z 3))) (* -1 (pow (- t x) 3))))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (pow x 3) (pow z 3))) (* -1 (pow (- t x) 3))))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (pow x 3) (pow z 3))) (* -1 (pow (- t x) 3))))) |
(+ (* -1 (* (pow x 3) (pow z 3))) (pow x 3)) |
(+ (* -1 (* (pow x 3) (pow z 3))) (+ (* t (* (pow z 3) (+ (* 2 (pow x 2)) (pow x 2)))) (pow x 3))) |
(+ (* -1 (* (pow x 3) (pow z 3))) (+ (* t (+ (* t (* (pow z 3) (+ (* -2 x) (* -1 x)))) (* (pow z 3) (+ (* 2 (pow x 2)) (pow x 2))))) (pow x 3))) |
(+ (* -1 (* (pow x 3) (pow z 3))) (+ (* t (+ (* t (+ (* t (pow z 3)) (* (pow z 3) (+ (* -2 x) (* -1 x))))) (* (pow z 3) (+ (* 2 (pow x 2)) (pow x 2))))) (pow x 3))) |
(* (pow t 3) (pow z 3)) |
(* (pow t 3) (+ (/ (* (pow z 3) (+ (* -2 x) (* -1 x))) t) (pow z 3))) |
(* (pow t 3) (+ (/ (* (pow z 3) (+ (* -2 x) (* -1 x))) t) (+ (/ (* (pow z 3) (+ (* 2 (pow x 2)) (pow x 2))) (pow t 2)) (pow z 3)))) |
(* (pow t 3) (+ (* -1 (/ (* (pow x 3) (pow z 3)) (pow t 3))) (+ (/ (* (pow z 3) (+ (* -2 x) (* -1 x))) t) (+ (/ (* (pow z 3) (+ (* 2 (pow x 2)) (pow x 2))) (pow t 2)) (+ (/ (pow x 3) (pow t 3)) (pow z 3)))))) |
(* (pow t 3) (pow z 3)) |
(* -1 (* (pow t 3) (+ (* -1 (pow z 3)) (/ (* (pow z 3) (+ x (* 2 x))) t)))) |
(* -1 (* (pow t 3) (+ (* -1 (/ (+ (* -1 (* (pow z 3) (+ x (* 2 x)))) (/ (* (pow z 3) (+ (* 2 (pow x 2)) (pow x 2))) t)) t)) (* -1 (pow z 3))))) |
(* -1 (* (pow t 3) (+ (* -1 (/ (+ (* -1 (* (pow z 3) (+ x (* 2 x)))) (* -1 (/ (+ (* -1 (* (pow z 3) (+ (* 2 (pow x 2)) (pow x 2)))) (* -1 (/ (+ (* -1 (* (pow x 3) (pow z 3))) (pow x 3)) t))) t))) t)) (* -1 (pow z 3))))) |
| Outputs |
|---|
(* -1 (/ (* z (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(*.f64 (neg.f64 z) (/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y)))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y)))))) |
(+ (* -1 (/ (* z (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (* t z) y)) |
(fma.f64 (neg.f64 z) (/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y)))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (/.f64 (*.f64 z t) y)) |
(+ (* -1 (/ (* z (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (* t (+ (* -1/3 (/ (* (pow t 2) z) (pow y 3))) (/ z y)))) |
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(*.f64 (*.f64 t (*.f64 t t)) (fma.f64 (*.f64 z (*.f64 z z)) (/.f64 (*.f64 x #s(literal -3 binary64)) t) (fma.f64 (*.f64 z (*.f64 z z)) (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) (*.f64 t t)) (*.f64 z (*.f64 z z))))) |
(* (pow t 3) (+ (* -1 (/ (* (pow x 3) (pow z 3)) (pow t 3))) (+ (/ (* (pow z 3) (+ (* -2 x) (* -1 x))) t) (+ (/ (* (pow z 3) (+ (* 2 (pow x 2)) (pow x 2))) (pow t 2)) (+ (/ (pow x 3) (pow t 3)) (pow z 3)))))) |
(*.f64 (*.f64 t (*.f64 t t)) (+.f64 (neg.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z))) (*.f64 t (*.f64 t t)))) (fma.f64 (*.f64 z (*.f64 z z)) (/.f64 (*.f64 x #s(literal -3 binary64)) t) (fma.f64 (*.f64 z (*.f64 z z)) (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) (*.f64 t t)) (fma.f64 z (*.f64 z z) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 t (*.f64 t t)))))))) |
(* (pow t 3) (pow z 3)) |
(*.f64 (*.f64 t (*.f64 t t)) (*.f64 z (*.f64 z z))) |
(* -1 (* (pow t 3) (+ (* -1 (pow z 3)) (/ (* (pow z 3) (+ x (* 2 x))) t)))) |
(neg.f64 (*.f64 (*.f64 t (*.f64 t t)) (fma.f64 (*.f64 z (*.f64 z z)) (/.f64 (*.f64 #s(literal 3 binary64) x) t) (neg.f64 (*.f64 z (*.f64 z z)))))) |
(* -1 (* (pow t 3) (+ (* -1 (/ (+ (* -1 (* (pow z 3) (+ x (* 2 x)))) (/ (* (pow z 3) (+ (* 2 (pow x 2)) (pow x 2))) t)) t)) (* -1 (pow z 3))))) |
(neg.f64 (*.f64 (*.f64 t (*.f64 t t)) (+.f64 (neg.f64 (*.f64 z (*.f64 z z))) (neg.f64 (/.f64 (fma.f64 (*.f64 z (*.f64 z z)) (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) t) (*.f64 (neg.f64 (*.f64 z (*.f64 z z))) (*.f64 #s(literal 3 binary64) x))) t))))) |
(* -1 (* (pow t 3) (+ (* -1 (/ (+ (* -1 (* (pow z 3) (+ x (* 2 x)))) (* -1 (/ (+ (* -1 (* (pow z 3) (+ (* 2 (pow x 2)) (pow x 2)))) (* -1 (/ (+ (* -1 (* (pow x 3) (pow z 3))) (pow x 3)) t))) t))) t)) (* -1 (pow z 3))))) |
(neg.f64 (*.f64 (*.f64 t (*.f64 t t)) (+.f64 (neg.f64 (*.f64 z (*.f64 z z))) (neg.f64 (/.f64 (fma.f64 (neg.f64 (*.f64 z (*.f64 z z))) (*.f64 #s(literal 3 binary64) x) (neg.f64 (/.f64 (fma.f64 (neg.f64 (*.f64 z (*.f64 z z))) (*.f64 #s(literal 3 binary64) (*.f64 x x)) (neg.f64 (/.f64 (fma.f64 x (*.f64 x x) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z))))) t))) t))) t))))) |
| 1× | batch-egg-rewrite |
| 6 570× | lower-*.f32 |
| 6 546× | lower-*.f64 |
| 3 334× | lower-/.f32 |
| 3 322× | lower-/.f64 |
| 2 958× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 434 |
| 0 | 84 | 325 |
| 1 | 342 | 252 |
| 2 | 2804 | 252 |
| 0 | 8824 | 245 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (tanh.f64 (/.f64 t y)) z (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) z)) |
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) z (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) z)) y 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 y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x) |
(*.f64 z y) |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) |
(/.f64 (-.f64 t x) y) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) (-.f64 x (*.f64 z (-.f64 t x)))) |
(-.f64 (*.f64 x x) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) |
(-.f64 x (*.f64 z (-.f64 t x))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) (-.f64 x (*.f64 z (-.f64 t x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 z (-.f64 t x))) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (-.f64 t x) (*.f64 (-.f64 t x) (-.f64 t x))))))) |
(fma.f64 x (-.f64 x (*.f64 z (-.f64 t x))) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 z (-.f64 t x))) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (-.f64 t x) (*.f64 (-.f64 t x) (-.f64 t x)))))))) |
(*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) z) |
(tanh.f64 (/.f64 x y)) |
(*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))) |
(/.f64 (fma.f64 x (-.f64 x (*.f64 z (-.f64 t x))) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (-.f64 t x) (*.f64 (-.f64 t x) (-.f64 t x)))))) |
(*.f64 (*.f64 z (*.f64 z z)) (*.f64 (-.f64 t x) (*.f64 (-.f64 t x) (-.f64 t x)))) |
(fma.f64 x (*.f64 x x) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (-.f64 t x) (*.f64 (-.f64 t x) (-.f64 t x))))) |
| Outputs |
|---|
(+.f64 (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 z)) (*.f64 (tanh.f64 (/.f64 t y)) z)) |
(+.f64 (*.f64 (tanh.f64 (/.f64 t y)) z) (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 z))) |
(-.f64 (*.f64 (tanh.f64 (/.f64 t y)) z) (*.f64 z (tanh.f64 (/.f64 x y)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (tanh.f64 (/.f64 t y)) z) #s(literal 2 binary64)) (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (neg.f64 (tanh.f64 (/.f64 x y)))))) (/.f64 (pow.f64 (*.f64 z (tanh.f64 (/.f64 x y))) #s(literal 2 binary64)) (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (neg.f64 (tanh.f64 (/.f64 x y))))))) |
(fma.f64 (tanh.f64 (/.f64 t y)) z (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 z))) |
(fma.f64 z (tanh.f64 (/.f64 t y)) (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 z))) |
(fma.f64 z (neg.f64 (tanh.f64 (/.f64 x y))) (*.f64 (tanh.f64 (/.f64 t y)) z)) |
(fma.f64 (tanh.f64 (/.f64 x y)) (neg.f64 z) (*.f64 (tanh.f64 (/.f64 t y)) z)) |
(fma.f64 (neg.f64 (tanh.f64 (/.f64 x y))) z (*.f64 (tanh.f64 (/.f64 t y)) z)) |
(fma.f64 #s(literal -1 binary64) (*.f64 z (tanh.f64 (/.f64 x y))) (*.f64 (tanh.f64 (/.f64 t y)) z)) |
(fma.f64 (*.f64 z #s(literal -1 binary64)) (tanh.f64 (/.f64 x y)) (*.f64 (tanh.f64 (/.f64 t y)) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 z)) (-.f64 (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 z)) (*.f64 (tanh.f64 (/.f64 t y)) z)) (pow.f64 (*.f64 (tanh.f64 (/.f64 t y)) z) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (tanh.f64 (/.f64 t y)) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 z)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (neg.f64 (tanh.f64 (/.f64 x y))))) (-.f64 (pow.f64 (*.f64 (tanh.f64 (/.f64 t y)) z) #s(literal 2 binary64)) (pow.f64 (*.f64 z (tanh.f64 (/.f64 x y))) #s(literal 2 binary64))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (tanh.f64 (/.f64 t y)) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 z)) #s(literal 3 binary64))) (fma.f64 (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 z)) (-.f64 (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 z)) (*.f64 (tanh.f64 (/.f64 t y)) z)) (pow.f64 (*.f64 (tanh.f64 (/.f64 t y)) z) #s(literal 2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (tanh.f64 (/.f64 t y)) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 z)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z (tanh.f64 (/.f64 x y))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (tanh.f64 (/.f64 t y)) z) #s(literal 2 binary64)) (*.f64 (tanh.f64 (/.f64 t y)) (*.f64 z (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 z))))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (tanh.f64 (/.f64 t y)) z) #s(literal 2 binary64)) (pow.f64 (*.f64 z (tanh.f64 (/.f64 x y))) #s(literal 2 binary64))) (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (neg.f64 (tanh.f64 (/.f64 x y)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (tanh.f64 (/.f64 t y)) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 z)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 z)) (-.f64 (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 z)) (*.f64 (tanh.f64 (/.f64 t y)) z)) (pow.f64 (*.f64 (tanh.f64 (/.f64 t y)) z) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (tanh.f64 (/.f64 t y)) z) #s(literal 2 binary64)) (pow.f64 (*.f64 z (tanh.f64 (/.f64 x y))) #s(literal 2 binary64)))) (neg.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (neg.f64 (tanh.f64 (/.f64 x y))))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 z (tanh.f64 (/.f64 x y))) #s(literal 2 binary64)) (pow.f64 (*.f64 (tanh.f64 (/.f64 t y)) z) #s(literal 2 binary64))) (-.f64 (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 z)) (*.f64 (tanh.f64 (/.f64 t y)) z))) |
(/.f64 (*.f64 z (-.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 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 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
(/.f64 (-.f64 (*.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y)))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 x y))) z))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y))))) |
(/.f64 (-.f64 (*.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) (*.f64 (expm1.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) z))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)))) z))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 z (expm1.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 x y))) z))) (*.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 (*.f64 z (expm1.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64)))) (*.f64 (expm1.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) z))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 z (expm1.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)))) z))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 z (-.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 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 x y))) z))) (*.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 (*.f64 z (-.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 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y))) (*.f64 (expm1.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) z))) (*.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 (*.f64 z (-.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 #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)))) z))) (*.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 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y))) z) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 x y))) z))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y))) z) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) (*.f64 (expm1.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) z))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y))) z) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)))) z))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (expm1.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64))) z) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 x y))) z))) (*.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 (*.f64 (expm1.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64))) z) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64)))) (*.f64 (expm1.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) z))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (expm1.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64))) z) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)))) z))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y))) z) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 x y))) z))) (*.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))))) |
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(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (pow.f64 (*.f64 z (-.f64 t x)) #s(literal 9 binary64))) (fma.f64 (*.f64 (*.f64 z (-.f64 t x)) (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x))))) (-.f64 (*.f64 (*.f64 z (-.f64 t x)) (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x))))) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (pow.f64 (*.f64 z (-.f64 t x)) #s(literal 9 binary64))) (fma.f64 (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x)))) (*.f64 (*.f64 z (-.f64 t x)) (*.f64 (*.f64 z (-.f64 t x)) (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x)))))) (-.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 z (-.f64 t x)) (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x))))) (*.f64 x (*.f64 x x)))))) |
(/.f64 (*.f64 (fma.f64 z (*.f64 (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x)))) (-.f64 t x)) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 (*.f64 z (-.f64 t x)) (fma.f64 z (-.f64 t x) x) (*.f64 x x)) (-.f64 x (*.f64 z (-.f64 t x))))) (*.f64 (fma.f64 (*.f64 z (-.f64 t x)) (fma.f64 z (-.f64 t x) x) (*.f64 x x)) (-.f64 x (*.f64 z (-.f64 t x))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (pow.f64 (*.f64 z (-.f64 t x)) #s(literal 9 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 z (-.f64 t x)) (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x))))) (-.f64 (*.f64 (*.f64 z (-.f64 t x)) (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x))))) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 z (*.f64 (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x)))) (-.f64 t x)) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 (*.f64 z (-.f64 t x)) (fma.f64 z (-.f64 t x) x) (*.f64 x x)) (-.f64 x (*.f64 z (-.f64 t x)))))) (neg.f64 (*.f64 (fma.f64 (*.f64 z (-.f64 t x)) (fma.f64 z (-.f64 t x) x) (*.f64 x x)) (-.f64 x (*.f64 z (-.f64 t x)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 z (-.f64 t x)) (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x))))) (*.f64 (*.f64 z (-.f64 t x)) (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x)))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 (*.f64 (*.f64 z (-.f64 t x)) (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x))))) (*.f64 x (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 (*.f64 z (-.f64 t x)) (fma.f64 z (-.f64 t x) x) (*.f64 x x)) (-.f64 x (*.f64 z (-.f64 t x))))) (*.f64 (*.f64 (fma.f64 (*.f64 z (-.f64 t x)) (fma.f64 z (-.f64 t x) x) (*.f64 x x)) (-.f64 x (*.f64 z (-.f64 t x)))) (*.f64 (*.f64 (*.f64 z (-.f64 t x)) (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x))))) (*.f64 (*.f64 z (-.f64 t x)) (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x)))))))) (*.f64 (*.f64 (fma.f64 (*.f64 z (-.f64 t x)) (fma.f64 z (-.f64 t x) x) (*.f64 x x)) (-.f64 x (*.f64 z (-.f64 t x)))) (*.f64 (fma.f64 (*.f64 z (-.f64 t x)) (fma.f64 z (-.f64 t x) x) (*.f64 x x)) (-.f64 x (*.f64 z (-.f64 t x)))))) |
(pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 z (-.f64 t x)) (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x))))) (-.f64 (*.f64 (*.f64 z (-.f64 t x)) (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x))))) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (pow.f64 (*.f64 z (-.f64 t x)) #s(literal 9 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (fma.f64 (*.f64 z (-.f64 t x)) (fma.f64 z (-.f64 t x) x) (*.f64 x x)) (-.f64 x (*.f64 z (-.f64 t x)))) (*.f64 (fma.f64 z (*.f64 (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x)))) (-.f64 t x)) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 (*.f64 z (-.f64 t x)) (fma.f64 z (-.f64 t x) x) (*.f64 x x)) (-.f64 x (*.f64 z (-.f64 t x)))))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))) (*.f64 x (-.f64 x (*.f64 z (-.f64 t x))))) (fma.f64 z (-.f64 t x) x)) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (pow.f64 (*.f64 z (-.f64 t x)) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 z (-.f64 t x)) (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x))))) (-.f64 (*.f64 (*.f64 z (-.f64 t x)) (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x))))) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(*.f64 (*.f64 (fma.f64 z (*.f64 (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x)))) (-.f64 t x)) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 (*.f64 z (-.f64 t x)) (fma.f64 z (-.f64 t x) x) (*.f64 x x)) (-.f64 x (*.f64 z (-.f64 t x))))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z (-.f64 t x)) (fma.f64 z (-.f64 t x) x) (*.f64 x x)) (-.f64 x (*.f64 z (-.f64 t x)))))) |
Compiled 82 388 to 4 541 computations (94.5% saved)
30 alts after pruning (27 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 625 | 20 | 1 645 |
| Fresh | 17 | 7 | 24 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 645 | 30 | 1 675 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 98.1% | (fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) z (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) z)) y x) |
| ▶ | 70.6% | (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) |
| 51.9% | (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x) | |
| ✓ | 98.0% | (fma.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y x) |
| 62.0% | (fma.f64 (*.f64 z (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y x) | |
| 32.2% | (fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 (/.f64 t y) (/.f64 t y)) (*.f64 (/.f64 x y) (/.f64 x y))) (+.f64 (/.f64 t y) (/.f64 x y)))) x) | |
| 31.6% | (fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (/.f64 #s(literal 1 binary64) y)) (+.f64 t x))) x) | |
| 47.7% | (fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))) x) | |
| 50.0% | (fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) x) | |
| 44.3% | (fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 x (-.f64 (/.f64 t (*.f64 x y)) (/.f64 #s(literal 1 binary64) y))))) x) | |
| 42.2% | (fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (neg.f64 (/.f64 x y)))) x) | |
| ▶ | 58.2% | (fma.f64 #s(approx (* z (- (tanh (/ t y)) (tanh (/ x y)))) (/.f64 (*.f64 z (-.f64 t x)) y)) y x) |
| 23.9% | (/.f64 (-.f64 (*.f64 (*.f64 z y) (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))) (*.f64 x x)) (-.f64 (*.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) x)) | |
| 51.1% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (neg.f64 x)) x)) | |
| 20.5% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (*.f64 x x) #s(approx (* z (* (- t x) (* z (- t x)))) (fma.f64 (*.f64 x x) (*.f64 z z) (*.f64 (*.f64 #s(literal -2 binary64) t) (*.f64 x (*.f64 z z)))))) (-.f64 x (*.f64 z (-.f64 t x))))) | |
| 21.3% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(approx (- (* x x) (* z (* (- t x) (* z (- t x))))) (*.f64 (*.f64 x x) (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 t (*.f64 z z)) x) #s(literal 1 binary64)) (*.f64 z z)))) (-.f64 x (*.f64 z (-.f64 t x))))) | |
| 19.5% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(approx (- (* x x) (* z (* (- t x) (* z (- t x))))) (*.f64 x x)) (-.f64 x (*.f64 z (-.f64 t x))))) | |
| ▶ | 6.8% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(approx (- (* x x) (* z (* (- t x) (* z (- t x))))) (neg.f64 (*.f64 (*.f64 t t) (*.f64 z z)))) (-.f64 x (*.f64 z (-.f64 t x))))) |
| 9.9% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 z (-.f64 t x)) (*.f64 z (-.f64 t x)) (*.f64 x (-.f64 x (*.f64 z (-.f64 t x))))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (-.f64 t x) (*.f64 (-.f64 t x) (-.f64 t x)))))))) | |
| 2.2% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (*.f64 (*.f64 t t) (*.f64 z z))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (-.f64 t x) (*.f64 (-.f64 t x) (-.f64 t x)))))))) | |
| 30.0% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x (*.f64 z (-.f64 t x))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z (-.f64 t x) x) (-.f64 x (*.f64 z (-.f64 t x)))))))) | |
| 18.8% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (/.f64 (-.f64 (+.f64 (neg.f64 (/.f64 x (*.f64 t (*.f64 z z)))) (/.f64 #s(literal 1 binary64) z)) (neg.f64 (/.f64 x (*.f64 z t)))) t)))) | |
| 14.1% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (/.f64 (+.f64 (neg.f64 (/.f64 x (*.f64 t (*.f64 z z)))) (-.f64 (fma.f64 x (/.f64 (-.f64 x (*.f64 (neg.f64 x) z)) (*.f64 (*.f64 t t) (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) z)) (+.f64 (neg.f64 (/.f64 x (*.f64 z t))) (fma.f64 (*.f64 x #s(literal -3 binary64)) (/.f64 (-.f64 (neg.f64 (/.f64 x (*.f64 z z))) (/.f64 (neg.f64 x) z)) (*.f64 t t)) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 z (*.f64 t t))))))) t)))) | |
| 56.5% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (/.f64 #s(literal 1 binary64) x)))) | |
| ▶ | 24.7% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (neg.f64 (/.f64 (-.f64 (/.f64 x (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x)))) (/.f64 #s(literal 1 binary64) (-.f64 t x))) z))))) |
| ▶ | 28.7% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z (-.f64 t x)))) |
| 21.1% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (neg.f64 (/.f64 (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x))) (-.f64 x t))))) | |
| 43.9% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ 1 (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x))))))) (neg.f64 (/.f64 (*.f64 x (fma.f64 z (*.f64 z z) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 z z z)))))) | |
| 53.9% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (fma.f64 x (-.f64 (*.f64 t (/.f64 z x)) z) x))) | |
| ✓ | 20.2% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) |
Compiled 1 415 to 700 computations (50.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (neg.f64 (/.f64 (-.f64 (/.f64 x (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x)))) (/.f64 #s(literal 1 binary64) (-.f64 t x))) z)))) |
| ✓ | cost-diff | 0 | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (neg.f64 (/.f64 (-.f64 (/.f64 x (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x)))) (/.f64 #s(literal 1 binary64) (-.f64 t x))) z))))) |
| ✓ | cost-diff | 64 | (/.f64 (-.f64 (/.f64 x (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x)))) (/.f64 #s(literal 1 binary64) (-.f64 t x))) z) |
| ✓ | cost-diff | 128 | (neg.f64 (/.f64 (-.f64 (/.f64 x (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x)))) (/.f64 #s(literal 1 binary64) (-.f64 t x))) z)) |
| ✓ | cost-diff | 0 | #s(approx (- (* x x) (* z (* (- t x) (* z (- t x))))) (neg.f64 (*.f64 (*.f64 t t) (*.f64 z z)))) |
| ✓ | cost-diff | 0 | (/.f64 #s(approx (- (* x x) (* z (* (- t x) (* z (- t x))))) (neg.f64 (*.f64 (*.f64 t t) (*.f64 z z)))) (-.f64 x (*.f64 z (-.f64 t x)))) |
| ✓ | cost-diff | 0 | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(approx (- (* x x) (* z (* (- t x) (* z (- t x))))) (neg.f64 (*.f64 (*.f64 t t) (*.f64 z z)))) (-.f64 x (*.f64 z (-.f64 t x))))) |
| ✓ | cost-diff | 128 | (-.f64 x (*.f64 z (-.f64 t x))) |
| ✓ | cost-diff | 0 | (*.f64 z (-.f64 t x)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 z (-.f64 t x)) y) |
| ✓ | cost-diff | 0 | #s(approx (* z (- (tanh (/ t y)) (tanh (/ x y)))) (/.f64 (*.f64 z (-.f64 t x)) y)) |
| ✓ | cost-diff | 0 | (fma.f64 #s(approx (* z (- (tanh (/ t y)) (tanh (/ x y)))) (/.f64 (*.f64 z (-.f64 t x)) y)) y x) |
| ✓ | cost-diff | 0 | (-.f64 t x) |
| ✓ | cost-diff | 0 | (*.f64 z (-.f64 t x)) |
| ✓ | cost-diff | 0 | #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z (-.f64 t x))) |
| ✓ | cost-diff | 0 | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z (-.f64 t x)))) |
| ✓ | cost-diff | 0 | (tanh.f64 (/.f64 t y)) |
| ✓ | cost-diff | 0 | (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) |
| ✓ | cost-diff | 0 | (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) |
| 7 036× | lower-fma.f32 |
| 7 032× | lower-fma.f64 |
| 4 128× | lower-*.f32 |
| 4 114× | lower-*.f64 |
| 2 082× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 669 |
| 0 | 94 | 639 |
| 1 | 210 | 639 |
| 2 | 516 | 635 |
| 3 | 1709 | 598 |
| 4 | 6438 | 585 |
| 0 | 8109 | 568 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) |
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) |
(-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) |
(tanh.f64 (/.f64 t y)) |
(/.f64 t y) |
t |
y |
#s(approx (tanh (/ x y)) (/.f64 x y)) |
(/.f64 x y) |
x |
z |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z (-.f64 t x)))) |
#s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z (-.f64 t x))) |
(*.f64 z (-.f64 t x)) |
z |
(-.f64 t x) |
t |
x |
(fma.f64 #s(approx (* z (- (tanh (/ t y)) (tanh (/ x y)))) (/.f64 (*.f64 z (-.f64 t x)) y)) y x) |
#s(approx (* z (- (tanh (/ t y)) (tanh (/ x y)))) (/.f64 (*.f64 z (-.f64 t x)) y)) |
(/.f64 (*.f64 z (-.f64 t x)) y) |
(*.f64 z (-.f64 t x)) |
z |
(-.f64 t x) |
t |
x |
y |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(approx (- (* x x) (* z (* (- t x) (* z (- t x))))) (neg.f64 (*.f64 (*.f64 t t) (*.f64 z z)))) (-.f64 x (*.f64 z (-.f64 t x))))) |
(/.f64 #s(approx (- (* x x) (* z (* (- t x) (* z (- t x))))) (neg.f64 (*.f64 (*.f64 t t) (*.f64 z z)))) (-.f64 x (*.f64 z (-.f64 t x)))) |
#s(approx (- (* x x) (* z (* (- t x) (* z (- t x))))) (neg.f64 (*.f64 (*.f64 t t) (*.f64 z z)))) |
(neg.f64 (*.f64 (*.f64 t t) (*.f64 z z))) |
(*.f64 (*.f64 t t) (*.f64 z z)) |
(*.f64 t t) |
t |
(*.f64 z z) |
z |
(-.f64 x (*.f64 z (-.f64 t x))) |
x |
(*.f64 z (-.f64 t x)) |
(-.f64 t x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (neg.f64 (/.f64 (-.f64 (/.f64 x (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x)))) (/.f64 #s(literal 1 binary64) (-.f64 t x))) z))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (neg.f64 (/.f64 (-.f64 (/.f64 x (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x)))) (/.f64 #s(literal 1 binary64) (-.f64 t x))) z)))) |
#s(literal 1 binary64) |
#s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (neg.f64 (/.f64 (-.f64 (/.f64 x (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x)))) (/.f64 #s(literal 1 binary64) (-.f64 t x))) z))) |
(neg.f64 (/.f64 (-.f64 (/.f64 x (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x)))) (/.f64 #s(literal 1 binary64) (-.f64 t x))) z)) |
(/.f64 (-.f64 (/.f64 x (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x)))) (/.f64 #s(literal 1 binary64) (-.f64 t x))) z) |
(-.f64 (/.f64 x (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x)))) (/.f64 #s(literal 1 binary64) (-.f64 t x))) |
(/.f64 x (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x)))) |
x |
(*.f64 z (*.f64 (-.f64 t x) (-.f64 t x))) |
z |
(*.f64 (-.f64 t x) (-.f64 t x)) |
(-.f64 t x) |
t |
(/.f64 #s(literal 1 binary64) (-.f64 t x)) |
| Outputs |
|---|
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) |
(fma.f64 y (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) z) x) |
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) |
(*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) |
(-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) |
(tanh.f64 (/.f64 t y)) |
(/.f64 t y) |
t |
y |
#s(approx (tanh (/ x y)) (/.f64 x y)) |
(/.f64 x y) |
x |
z |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z (-.f64 t x)))) |
#s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z (-.f64 t x))) |
(*.f64 z (-.f64 t x)) |
z |
(-.f64 t x) |
t |
x |
(fma.f64 #s(approx (* z (- (tanh (/ t y)) (tanh (/ x y)))) (/.f64 (*.f64 z (-.f64 t x)) y)) y x) |
(fma.f64 y #s(approx (* z (- (tanh (/ t y)) (tanh (/ x y)))) (/.f64 (*.f64 z (-.f64 t x)) y)) x) |
#s(approx (* z (- (tanh (/ t y)) (tanh (/ x y)))) (/.f64 (*.f64 z (-.f64 t x)) y)) |
(/.f64 (*.f64 z (-.f64 t x)) y) |
(*.f64 z (-.f64 t x)) |
z |
(-.f64 t x) |
t |
x |
y |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(approx (- (* x x) (* z (* (- t x) (* z (- t x))))) (neg.f64 (*.f64 (*.f64 t t) (*.f64 z z)))) (-.f64 x (*.f64 z (-.f64 t x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(approx (- (* x x) (* z (* (- t x) (* z (- t x))))) (neg.f64 (*.f64 t (*.f64 t (*.f64 z z))))) (fma.f64 z (-.f64 x t) x))) |
(/.f64 #s(approx (- (* x x) (* z (* (- t x) (* z (- t x))))) (neg.f64 (*.f64 (*.f64 t t) (*.f64 z z)))) (-.f64 x (*.f64 z (-.f64 t x)))) |
(/.f64 #s(approx (- (* x x) (* z (* (- t x) (* z (- t x))))) (neg.f64 (*.f64 t (*.f64 t (*.f64 z z))))) (fma.f64 z (-.f64 x t) x)) |
#s(approx (- (* x x) (* z (* (- t x) (* z (- t x))))) (neg.f64 (*.f64 (*.f64 t t) (*.f64 z z)))) |
#s(approx (- (* x x) (* z (* (- t x) (* z (- t x))))) (neg.f64 (*.f64 t (*.f64 t (*.f64 z z))))) |
(neg.f64 (*.f64 (*.f64 t t) (*.f64 z z))) |
(neg.f64 (*.f64 t (*.f64 t (*.f64 z z)))) |
(*.f64 (*.f64 t t) (*.f64 z z)) |
(*.f64 t (*.f64 t (*.f64 z z))) |
(*.f64 t t) |
t |
(*.f64 z z) |
z |
(-.f64 x (*.f64 z (-.f64 t x))) |
(fma.f64 z (-.f64 x t) x) |
x |
(*.f64 z (-.f64 t x)) |
(-.f64 t x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (neg.f64 (/.f64 (-.f64 (/.f64 x (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x)))) (/.f64 #s(literal 1 binary64) (-.f64 t x))) z))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 t x))) (/.f64 x (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (neg.f64 (/.f64 (-.f64 (/.f64 x (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x)))) (/.f64 #s(literal 1 binary64) (-.f64 t x))) z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 t x))) (/.f64 x (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))))))) |
#s(literal 1 binary64) |
#s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (neg.f64 (/.f64 (-.f64 (/.f64 x (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x)))) (/.f64 #s(literal 1 binary64) (-.f64 t x))) z))) |
#s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 t x))) (/.f64 x (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))))) |
(neg.f64 (/.f64 (-.f64 (/.f64 x (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x)))) (/.f64 #s(literal 1 binary64) (-.f64 t x))) z)) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 t x))) (/.f64 x (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))))) |
(/.f64 (-.f64 (/.f64 x (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x)))) (/.f64 #s(literal 1 binary64) (-.f64 t x))) z) |
(+.f64 (/.f64 x (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 x t)))) |
(-.f64 (/.f64 x (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x)))) (/.f64 #s(literal 1 binary64) (-.f64 t x))) |
(+.f64 (/.f64 x (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))) (/.f64 #s(literal 1 binary64) (-.f64 x t))) |
(/.f64 x (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x)))) |
(/.f64 x (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))) |
x |
(*.f64 z (*.f64 (-.f64 t x) (-.f64 t x))) |
(*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))) |
z |
(*.f64 (-.f64 t x) (-.f64 t x)) |
(-.f64 t x) |
t |
(/.f64 #s(literal 1 binary64) (-.f64 t x)) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 85.6% | (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x))) |
| ✓ | accuracy | 82.5% | (/.f64 x (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x)))) |
| ✓ | accuracy | 65.2% | #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (neg.f64 (/.f64 (-.f64 (/.f64 x (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x)))) (/.f64 #s(literal 1 binary64) (-.f64 t x))) z))) |
| ✓ | accuracy | 62.0% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (neg.f64 (/.f64 (-.f64 (/.f64 x (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x)))) (/.f64 #s(literal 1 binary64) (-.f64 t x))) z))))) |
| ✓ | accuracy | 73.6% | (*.f64 (*.f64 t t) (*.f64 z z)) |
| ✓ | accuracy | 62.0% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(approx (- (* x x) (* z (* (- t x) (* z (- t x))))) (neg.f64 (*.f64 (*.f64 t t) (*.f64 z z)))) (-.f64 x (*.f64 z (-.f64 t x))))) |
| ✓ | accuracy | 52.6% | #s(approx (- (* x x) (* z (* (- t x) (* z (- t x))))) (neg.f64 (*.f64 (*.f64 t t) (*.f64 z z)))) |
| ✓ | accuracy | 45.3% | (/.f64 #s(approx (- (* x x) (* z (* (- t x) (* z (- t x))))) (neg.f64 (*.f64 (*.f64 t t) (*.f64 z z)))) (-.f64 x (*.f64 z (-.f64 t x)))) |
| ✓ | accuracy | 100.0% | (*.f64 z (-.f64 t x)) |
| ✓ | accuracy | 99.2% | (fma.f64 #s(approx (* z (- (tanh (/ t y)) (tanh (/ x y)))) (/.f64 (*.f64 z (-.f64 t x)) y)) y x) |
| ✓ | accuracy | 92.6% | (/.f64 (*.f64 z (-.f64 t x)) y) |
| ✓ | accuracy | 35.9% | #s(approx (* z (- (tanh (/ t y)) (tanh (/ x y)))) (/.f64 (*.f64 z (-.f64 t x)) y)) |
| ✓ | accuracy | 100.0% | (-.f64 t x) |
| ✓ | accuracy | 100.0% | (*.f64 z (-.f64 t x)) |
| ✓ | accuracy | 65.7% | #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z (-.f64 t x))) |
| ✓ | accuracy | 62.0% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z (-.f64 t x)))) |
| ✓ | accuracy | 100.0% | (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) |
| ✓ | accuracy | 100.0% | (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) |
| ✓ | accuracy | 96.8% | (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) |
| ✓ | accuracy | 52.6% | #s(approx (tanh (/ x y)) (/.f64 x y)) |
| 82.0ms | 211× | 0 | valid |
| 40.0ms | 41× | 2 | valid |
| 4.0ms | 4× | 3 | valid |
Compiled 443 to 50 computations (88.7% saved)
ival-mult: 46.0ms (47.5% of total)ival-div: 19.0ms (19.6% of total)adjust: 12.0ms (12.4% of total)ival-sub: 7.0ms (7.2% of total)ival-add: 7.0ms (7.2% of total)ival-tanh: 3.0ms (3.1% of total)ival-neg: 2.0ms (2.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x)> |
#<alt (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y)> |
#<alt (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))> |
#<alt (tanh.f64 (/.f64 t y))> |
#<alt #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z (-.f64 t x))))> |
#<alt #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z (-.f64 t x)))> |
#<alt (*.f64 z (-.f64 t x))> |
#<alt (-.f64 t x)> |
#<alt (fma.f64 #s(approx (* z (- (tanh (/ t y)) (tanh (/ x y)))) (/.f64 (*.f64 z (-.f64 t x)) y)) y x)> |
#<alt #s(approx (* z (- (tanh (/ t y)) (tanh (/ x y)))) (/.f64 (*.f64 z (-.f64 t x)) y))> |
#<alt (/.f64 (*.f64 z (-.f64 t x)) y)> |
#<alt (-.f64 x (*.f64 z (-.f64 t x)))> |
#<alt #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(approx (- (* x x) (* z (* (- t x) (* z (- t x))))) (neg.f64 (*.f64 (*.f64 t t) (*.f64 z z)))) (-.f64 x (*.f64 z (-.f64 t x)))))> |
#<alt (/.f64 #s(approx (- (* x x) (* z (* (- t x) (* z (- t x))))) (neg.f64 (*.f64 (*.f64 t t) (*.f64 z z)))) (-.f64 x (*.f64 z (-.f64 t x))))> |
#<alt #s(approx (- (* x x) (* z (* (- t x) (* z (- t x))))) (neg.f64 (*.f64 (*.f64 t t) (*.f64 z z))))> |
#<alt (neg.f64 (/.f64 (-.f64 (/.f64 x (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x)))) (/.f64 #s(literal 1 binary64) (-.f64 t x))) z))> |
#<alt (/.f64 (-.f64 (/.f64 x (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x)))) (/.f64 #s(literal 1 binary64) (-.f64 t x))) z)> |
#<alt #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (neg.f64 (/.f64 (-.f64 (/.f64 x (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x)))) (/.f64 #s(literal 1 binary64) (-.f64 t x))) z)))))> |
#<alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (neg.f64 (/.f64 (-.f64 (/.f64 x (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x)))) (/.f64 #s(literal 1 binary64) (-.f64 t x))) z))))> |
#<alt #s(approx (tanh (/ x y)) (/.f64 x y))> |
#<alt (*.f64 (*.f64 t t) (*.f64 z z))> |
#<alt #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (neg.f64 (/.f64 (-.f64 (/.f64 x (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x)))) (/.f64 #s(literal 1 binary64) (-.f64 t x))) z)))> |
#<alt (/.f64 x (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x))))> |
#<alt (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x)))> |
| 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 (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt x> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
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#<alt (+ x (* z (- t x)))> |
#<alt (+ x (+ (* z (- t x)) (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y)))> |
#<alt (+ x (+ (* z (- t x)) (+ (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y) (/ (* z (- (+ (* 1/2 (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3))))) (* 1/2 (pow x 3))) (+ (* 1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3))))) (* 1/2 (pow t 3))))) (pow y 2)))))> |
#<alt (+ x (+ (* z (- t x)) (+ (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y) (+ (/ (* z (- (+ (* -1/2 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))))) (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (* 1/2 (+ (* -1 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/6 (pow t 3)))))) (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (* 1/12 (pow t 4)))))))) (+ (* -1/2 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (* -1/2 (pow t 3))))) (+ (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2)))) (* 1/2 (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4)))))))))) (pow y 3)) (/ (* z (- (+ (* 1/2 (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3))))) (* 1/2 (pow x 3))) (+ (* 1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3))))) (* 1/2 (pow t 3))))) (pow y 2))))))> |
#<alt (+ x (* -1 (* z (- (* -1 t) (* -1 x)))))> |
#<alt (+ x (+ (* -1 (* z (- (* -1 t) (* -1 x)))) (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y)))> |
#<alt (+ x (+ (* -1 (* z (- (* -1 t) (* -1 x)))) (* -1 (/ (+ (* -1 (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))))) (/ (* z (- (+ (* -1/2 (pow x 3)) (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))))) (+ (* -1/2 (pow t 3)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))))) y)) y))))> |
#<alt (+ x (+ (* -1 (* z (- (* -1 t) (* -1 x)))) (* -1 (/ (+ (* -1 (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))))) (* -1 (/ (+ (* -1 (* z (- (+ (* -1/2 (pow x 3)) (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))))) (+ (* -1/2 (pow t 3)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))))) (/ (* z (- (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (+ (* 1/2 (* x (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) (* 1/2 (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (+ (* 1/12 (pow t 4)) (* t (+ (* -1/6 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))))))))) (+ (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2)))) (+ (* 1/2 (* t (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))) (* 1/2 (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (+ (* 1/12 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))))))))) y)) y))) y))))> |
#<alt x> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* z (+ (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (/ x z)))> |
#<alt (* z (+ (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (/ x z)))> |
#<alt (* z (+ (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (/ x z)))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* -1 (* z (+ (* -1 (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (* -1 (/ x z)))))> |
#<alt (* -1 (* z (+ (* -1 (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (* -1 (/ x z)))))> |
#<alt (* -1 (* z (+ (* -1 (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (* -1 (/ x z)))))> |
#<alt (+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (* t z)> |
#<alt (+ (* t z) (* x (- (* -2 z) (* -1 (- 1 (* -1 z))))))> |
#<alt (+ (* t z) (* x (- (+ (* -2 z) (* x (- (* -1 (/ (- 1 (pow z 2)) (* t z))) (* -1 (/ (* (- 1 (* -1 z)) (- (* -2 z) (* -1 (- 1 (* -1 z))))) (* t z)))))) (* -1 (- 1 (* -1 z))))))> |
#<alt (+ (* t z) (* x (- (+ (* -2 z) (* x (- (+ (* -1 (/ (- 1 (pow z 2)) (* t z))) (/ (* x (* (- 1 (* -1 z)) (- (* -1 (/ (- 1 (pow z 2)) (* t z))) (* -1 (/ (* (- 1 (* -1 z)) (- (* -2 z) (* -1 (- 1 (* -1 z))))) (* t z)))))) (* t z))) (* -1 (/ (* (- 1 (* -1 z)) (- (* -2 z) (* -1 (- 1 (* -1 z))))) (* t z)))))) (* -1 (- 1 (* -1 z))))))> |
#<alt (/ (* x (- 1 (pow z 2))) (- 1 (* -1 z)))> |
#<alt (* x (- (+ (* 2 (/ (* t (pow z 2)) (* x (- 1 (* -1 z))))) (/ 1 (- 1 (* -1 z)))) (+ (* -1 (/ (* t (* z (- 1 (pow z 2)))) (* x (pow (- 1 (* -1 z)) 2)))) (/ (pow z 2) (- 1 (* -1 z))))))> |
#<alt (* x (- (+ (* -1 (/ (* (pow t 2) (pow z 2)) (* (pow x 2) (- 1 (* -1 z))))) (+ (* 2 (/ (* t (pow z 2)) (* x (- 1 (* -1 z))))) (/ 1 (- 1 (* -1 z))))) (+ (* -1 (/ (* t (* z (- 1 (pow z 2)))) (* x (pow (- 1 (* -1 z)) 2)))) (+ (* -1 (/ (* t (* z (- (* 2 (/ (* t (pow z 2)) (- 1 (* -1 z)))) (* -1 (/ (* t (* z (- 1 (pow z 2)))) (pow (- 1 (* -1 z)) 2)))))) (* (pow x 2) (- 1 (* -1 z))))) (/ (pow z 2) (- 1 (* -1 z)))))))> |
#<alt (* x (- (+ (* -1 (/ (* (pow t 2) (pow z 2)) (* (pow x 2) (- 1 (* -1 z))))) (+ (* 2 (/ (* t (pow z 2)) (* x (- 1 (* -1 z))))) (+ (/ 1 (- 1 (* -1 z))) (/ (* t (* z (- (* -1 (/ (* (pow t 2) (pow z 2)) (- 1 (* -1 z)))) (* -1 (/ (* t (* z (- (* 2 (/ (* t (pow z 2)) (- 1 (* -1 z)))) (* -1 (/ (* t (* z (- 1 (pow z 2)))) (pow (- 1 (* -1 z)) 2)))))) (- 1 (* -1 z))))))) (* (pow x 3) (- 1 (* -1 z))))))) (+ (* -1 (/ (* t (* z (- 1 (pow z 2)))) (* x (pow (- 1 (* -1 z)) 2)))) (+ (* -1 (/ (* t (* z (- (* 2 (/ (* t (pow z 2)) (- 1 (* -1 z)))) (* -1 (/ (* t (* z (- 1 (pow z 2)))) (pow (- 1 (* -1 z)) 2)))))) (* (pow x 2) (- 1 (* -1 z))))) (/ (pow z 2) (- 1 (* -1 z)))))))> |
#<alt (/ (* x (- 1 (pow z 2))) (+ 1 z))> |
#<alt (* -1 (* x (- (+ (* -2 (/ (* t (pow z 2)) (* x (+ 1 z)))) (* -1 (/ (- 1 (pow z 2)) (+ 1 z)))) (/ (* t (* z (- 1 (pow z 2)))) (* x (pow (+ 1 z) 2))))))> |
#<alt (* -1 (* x (+ (* -1 (/ (- 1 (pow z 2)) (+ 1 z))) (* -1 (/ (- (+ (* -1 (- (* -2 (/ (* t (pow z 2)) (+ 1 z))) (/ (* t (* z (- 1 (pow z 2)))) (pow (+ 1 z) 2)))) (* -1 (/ (* (pow t 2) (pow z 2)) (* x (+ 1 z))))) (/ (* t (* z (- (* -2 (/ (* t (pow z 2)) (+ 1 z))) (/ (* t (* z (- 1 (pow z 2)))) (pow (+ 1 z) 2))))) (* x (+ 1 z)))) x)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -1 (- (* -2 (/ (* t (pow z 2)) (+ 1 z))) (/ (* t (* z (- 1 (pow z 2)))) (pow (+ 1 z) 2)))) (* -1 (/ (+ (* -1 (- (* -1 (/ (* (pow t 2) (pow z 2)) (+ 1 z))) (/ (* t (* z (- (* -2 (/ (* t (pow z 2)) (+ 1 z))) (/ (* t (* z (- 1 (pow z 2)))) (pow (+ 1 z) 2))))) (+ 1 z)))) (* -1 (/ (* t (* z (- (* -1 (/ (* (pow t 2) (pow z 2)) (+ 1 z))) (/ (* t (* z (- (* -2 (/ (* t (pow z 2)) (+ 1 z))) (/ (* t (* z (- 1 (pow z 2)))) (pow (+ 1 z) 2))))) (+ 1 z))))) (* x (+ 1 z))))) x))) x)) (* -1 (/ (- 1 (pow z 2)) (+ 1 z))))))> |
#<alt x> |
#<alt (+ x (* z (- t x)))> |
#<alt (+ x (* z (- (+ t (* z (- (* -1 (/ (pow (- t x) 2) x)) (/ (* (- t x) (- x t)) x)))) x)))> |
#<alt (+ x (* z (- (+ t (* z (- (+ (* -1 (/ (* z (* (- x t) (- (* -1 (/ (pow (- t x) 2) x)) (/ (* (- t x) (- x t)) x)))) x)) (* -1 (/ (pow (- t x) 2) x))) (/ (* (- t x) (- x t)) x)))) x)))> |
#<alt (* -1 (/ (* z (pow (- t x) 2)) (- x t)))> |
#<alt (* z (+ (* -1 (/ (pow (- t x) 2) (- x t))) (/ (* x (pow (- t x) 2)) (* z (pow (- x t) 2)))))> |
#<alt (* z (- (+ (* -1 (/ (pow (- t x) 2) (- x t))) (/ (pow x 2) (* (pow z 2) (- x t)))) (+ (* -1 (/ (* x (pow (- t x) 2)) (* z (pow (- x t) 2)))) (/ (* (pow x 2) (pow (- t x) 2)) (* (pow z 2) (pow (- x t) 3))))))> |
#<alt (* z (- (+ (* -1 (/ (* x (- (/ (pow x 2) (- x t)) (/ (* (pow x 2) (pow (- t x) 2)) (pow (- x t) 3)))) (* (pow z 3) (- x t)))) (+ (* -1 (/ (pow (- t x) 2) (- x t))) (/ (pow x 2) (* (pow z 2) (- x t))))) (+ (* -1 (/ (* x (pow (- t x) 2)) (* z (pow (- x t) 2)))) (/ (* (pow x 2) (pow (- t x) 2)) (* (pow z 2) (pow (- x t) 3))))))> |
#<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 (/ (- (pow x 2) (* (pow x 2) (pow z 2))) (- x (* -1 (* x z))))> |
#<alt (- (+ (* t (- (* 2 (/ (* x (pow z 2)) (- x (* -1 (* x z))))) (* -1 (/ (* z (- (pow x 2) (* (pow x 2) (pow z 2)))) (pow (- x (* -1 (* x z))) 2))))) (/ (pow x 2) (- x (* -1 (* x z))))) (/ (* (pow x 2) (pow z 2)) (- x (* -1 (* x z)))))> |
#<alt (- (+ (* t (- (+ (* 2 (/ (* x (pow z 2)) (- x (* -1 (* x z))))) (* t (- (* -1 (/ (pow z 2) (- x (* -1 (* x z))))) (* -1 (/ (* z (- (* 2 (/ (* x (pow z 2)) (- x (* -1 (* x z))))) (* -1 (/ (* z (- (pow x 2) (* (pow x 2) (pow z 2)))) (pow (- x (* -1 (* x z))) 2))))) (- x (* -1 (* x z)))))))) (* -1 (/ (* z (- (pow x 2) (* (pow x 2) (pow z 2)))) (pow (- x (* -1 (* x z))) 2))))) (/ (pow x 2) (- x (* -1 (* x z))))) (/ (* (pow x 2) (pow z 2)) (- x (* -1 (* x z)))))> |
#<alt (- (+ (* t (- (+ (* 2 (/ (* x (pow z 2)) (- x (* -1 (* x z))))) (* t (- (+ (* -1 (/ (pow z 2) (- x (* -1 (* x z))))) (/ (* t (* z (- (* -1 (/ (pow z 2) (- x (* -1 (* x z))))) (* -1 (/ (* z (- (* 2 (/ (* x (pow z 2)) (- x (* -1 (* x z))))) (* -1 (/ (* z (- (pow x 2) (* (pow x 2) (pow z 2)))) (pow (- x (* -1 (* x z))) 2))))) (- x (* -1 (* x z)))))))) (- x (* -1 (* x z))))) (* -1 (/ (* z (- (* 2 (/ (* x (pow z 2)) (- x (* -1 (* x z))))) (* -1 (/ (* z (- (pow x 2) (* (pow x 2) (pow z 2)))) (pow (- x (* -1 (* x z))) 2))))) (- x (* -1 (* x z)))))))) (* -1 (/ (* z (- (pow x 2) (* (pow x 2) (pow z 2)))) (pow (- x (* -1 (* x z))) 2))))) (/ (pow x 2) (- x (* -1 (* x z))))) (/ (* (pow x 2) (pow z 2)) (- x (* -1 (* x z)))))> |
#<alt (* t z)> |
#<alt (* t (- (+ z (* -2 (/ (* x z) t))) (* -1 (/ (- x (* -1 (* x z))) t))))> |
#<alt (* t (- (+ z (+ (* -2 (/ (* x z) t)) (* -1 (/ (- (pow x 2) (* (pow x 2) (pow z 2))) (* (pow t 2) z))))) (+ (* -1 (/ (* (- x (* -1 (* x z))) (- (* -2 (* x z)) (* -1 (- x (* -1 (* x z)))))) (* (pow t 2) z))) (* -1 (/ (- x (* -1 (* x z))) t)))))> |
#<alt (* t (- (+ z (+ (* -2 (/ (* x z) t)) (+ (* -1 (/ (- (pow x 2) (* (pow x 2) (pow z 2))) (* (pow t 2) z))) (/ (* (- x (* -1 (* x z))) (- (* -1 (/ (- (pow x 2) (* (pow x 2) (pow z 2))) z)) (* -1 (/ (* (- x (* -1 (* x z))) (- (* -2 (* x z)) (* -1 (- x (* -1 (* x z)))))) z)))) (* (pow t 3) z))))) (+ (* -1 (/ (* (- x (* -1 (* x z))) (- (* -2 (* x z)) (* -1 (- x (* -1 (* x z)))))) (* (pow t 2) z))) (* -1 (/ (- x (* -1 (* x z))) t)))))> |
#<alt (* t z)> |
#<alt (* -1 (* t (+ (* -1 z) (* -1 (/ (- (* -2 (* x z)) (* -1 (- x (* -1 (* x z))))) t)))))> |
#<alt (* -1 (* t (+ (* -1 z) (* -1 (/ (- (+ (* -2 (* x z)) (* -1 (/ (- (/ (pow x 2) z) (+ (* (pow x 2) z) (/ (* (- x (* -1 (* x z))) (- (* -2 (* x z)) (* -1 (- x (* -1 (* x z)))))) z))) t))) (* -1 (- x (* -1 (* x z))))) t)))))> |
#<alt (* -1 (* t (+ (* -1 z) (* -1 (/ (- (+ (* -2 (* x z)) (* -1 (/ (- (+ (/ (* (- x (* -1 (* x z))) (- (/ (pow x 2) z) (+ (* (pow x 2) z) (/ (* (- x (* -1 (* x z))) (- (* -2 (* x z)) (* -1 (- x (* -1 (* x z)))))) z)))) (* t z)) (/ (pow x 2) z)) (+ (* (pow x 2) z) (/ (* (- x (* -1 (* x z))) (- (* -2 (* x z)) (* -1 (- x (* -1 (* x z)))))) z))) t))) (* -1 (- x (* -1 (* x z))))) t)))))> |
#<alt (* z (- t x))> |
#<alt (* z (- t x))> |
#<alt (* z (- t x))> |
#<alt (* z (- t x))> |
#<alt (* z (- t x))> |
#<alt (* z (- t x))> |
#<alt (* z (- t x))> |
#<alt (* z (- t x))> |
#<alt (* z (- t x))> |
#<alt (* z (- t x))> |
#<alt (* z (- t x))> |
#<alt (* z (- t x))> |
#<alt (* -1 (* x z))> |
#<alt (+ (* -1 (* x z)) (* t z))> |
#<alt (+ (* -1 (* x z)) (* t z))> |
#<alt (+ (* -1 (* x z)) (* t z))> |
#<alt (* t z)> |
#<alt (* t (+ z (* -1 (/ (* x z) t))))> |
#<alt (* t (+ z (* -1 (/ (* x z) t))))> |
#<alt (* t (+ z (* -1 (/ (* x z) t))))> |
#<alt (* t z)> |
#<alt (* -1 (* t (+ (* -1 z) (/ (* x z) t))))> |
#<alt (* -1 (* t (+ (* -1 z) (/ (* x z) t))))> |
#<alt (* -1 (* t (+ (* -1 z) (/ (* x z) t))))> |
#<alt (* t z)> |
#<alt (+ (* -1 (* x z)) (* t z))> |
#<alt (+ (* -1 (* x z)) (* t z))> |
#<alt (+ (* -1 (* x z)) (* t z))> |
#<alt (* -1 (* x z))> |
#<alt (* x (+ (* -1 z) (/ (* t z) x)))> |
#<alt (* x (+ (* -1 z) (/ (* t z) x)))> |
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#<alt (+ x (+ (* -1 (* z (- (* -1 t) (* -1 x)))) (* -1 (/ (+ (* -1 (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))))) (* -1 (/ (+ (* -1 (* z (- (+ (* -1/2 (pow x 3)) (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))))) (+ (* -1/2 (pow t 3)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))))) (/ (* z (- (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (+ (* 1/2 (* x (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) (* 1/2 (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (+ (* 1/12 (pow t 4)) (* t (+ (* -1/6 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))))))))) (+ (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2)))) (+ (* 1/2 (* t (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))) (* 1/2 (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (+ (* 1/12 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))))))))) y)) y))) y))))> |
#<alt x> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* z (+ (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (/ x z)))> |
#<alt (* z (+ (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (/ x z)))> |
#<alt (* z (+ (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (/ x z)))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* -1 (* z (+ (* -1 (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (* -1 (/ x z)))))> |
#<alt (* -1 (* z (+ (* -1 (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (* -1 (/ x z)))))> |
#<alt (* -1 (* z (+ (* -1 (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (* -1 (/ x z)))))> |
#<alt (+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (* t z)> |
#<alt (+ (* t z) (* x (- (* -2 z) (* -1 (- 1 (* -1 z))))))> |
#<alt (+ (* t z) (* x (- (+ (* -2 z) (* x (- (* -1 (/ (- 1 (pow z 2)) (* t z))) (* -1 (/ (* (- 1 (* -1 z)) (- (* -2 z) (* -1 (- 1 (* -1 z))))) (* t z)))))) (* -1 (- 1 (* -1 z))))))> |
#<alt (+ (* t z) (* x (- (+ (* -2 z) (* x (- (+ (* -1 (/ (- 1 (pow z 2)) (* t z))) (/ (* x (* (- 1 (* -1 z)) (- (* -1 (/ (- 1 (pow z 2)) (* t z))) (* -1 (/ (* (- 1 (* -1 z)) (- (* -2 z) (* -1 (- 1 (* -1 z))))) (* t z)))))) (* t z))) (* -1 (/ (* (- 1 (* -1 z)) (- (* -2 z) (* -1 (- 1 (* -1 z))))) (* t z)))))) (* -1 (- 1 (* -1 z))))))> |
#<alt (/ (* x (- 1 (pow z 2))) (- 1 (* -1 z)))> |
#<alt (* x (- (+ (* 2 (/ (* t (pow z 2)) (* x (- 1 (* -1 z))))) (/ 1 (- 1 (* -1 z)))) (+ (* -1 (/ (* t (* z (- 1 (pow z 2)))) (* x (pow (- 1 (* -1 z)) 2)))) (/ (pow z 2) (- 1 (* -1 z))))))> |
#<alt (* x (- (+ (* -1 (/ (* (pow t 2) (pow z 2)) (* (pow x 2) (- 1 (* -1 z))))) (+ (* 2 (/ (* t (pow z 2)) (* x (- 1 (* -1 z))))) (/ 1 (- 1 (* -1 z))))) (+ (* -1 (/ (* t (* z (- 1 (pow z 2)))) (* x (pow (- 1 (* -1 z)) 2)))) (+ (* -1 (/ (* t (* z (- (* 2 (/ (* t (pow z 2)) (- 1 (* -1 z)))) (* -1 (/ (* t (* z (- 1 (pow z 2)))) (pow (- 1 (* -1 z)) 2)))))) (* (pow x 2) (- 1 (* -1 z))))) (/ (pow z 2) (- 1 (* -1 z)))))))> |
#<alt (* x (- (+ (* -1 (/ (* (pow t 2) (pow z 2)) (* (pow x 2) (- 1 (* -1 z))))) (+ (* 2 (/ (* t (pow z 2)) (* x (- 1 (* -1 z))))) (+ (/ 1 (- 1 (* -1 z))) (/ (* t (* z (- (* -1 (/ (* (pow t 2) (pow z 2)) (- 1 (* -1 z)))) (* -1 (/ (* t (* z (- (* 2 (/ (* t (pow z 2)) (- 1 (* -1 z)))) (* -1 (/ (* t (* z (- 1 (pow z 2)))) (pow (- 1 (* -1 z)) 2)))))) (- 1 (* -1 z))))))) (* (pow x 3) (- 1 (* -1 z))))))) (+ (* -1 (/ (* t (* z (- 1 (pow z 2)))) (* x (pow (- 1 (* -1 z)) 2)))) (+ (* -1 (/ (* t (* z (- (* 2 (/ (* t (pow z 2)) (- 1 (* -1 z)))) (* -1 (/ (* t (* z (- 1 (pow z 2)))) (pow (- 1 (* -1 z)) 2)))))) (* (pow x 2) (- 1 (* -1 z))))) (/ (pow z 2) (- 1 (* -1 z)))))))> |
#<alt (/ (* x (- 1 (pow z 2))) (+ 1 z))> |
#<alt (* -1 (* x (- (+ (* -2 (/ (* t (pow z 2)) (* x (+ 1 z)))) (* -1 (/ (- 1 (pow z 2)) (+ 1 z)))) (/ (* t (* z (- 1 (pow z 2)))) (* x (pow (+ 1 z) 2))))))> |
#<alt (* -1 (* x (+ (* -1 (/ (- 1 (pow z 2)) (+ 1 z))) (* -1 (/ (- (+ (* -1 (- (* -2 (/ (* t (pow z 2)) (+ 1 z))) (/ (* t (* z (- 1 (pow z 2)))) (pow (+ 1 z) 2)))) (* -1 (/ (* (pow t 2) (pow z 2)) (* x (+ 1 z))))) (/ (* t (* z (- (* -2 (/ (* t (pow z 2)) (+ 1 z))) (/ (* t (* z (- 1 (pow z 2)))) (pow (+ 1 z) 2))))) (* x (+ 1 z)))) x)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -1 (- (* -2 (/ (* t (pow z 2)) (+ 1 z))) (/ (* t (* z (- 1 (pow z 2)))) (pow (+ 1 z) 2)))) (* -1 (/ (+ (* -1 (- (* -1 (/ (* (pow t 2) (pow z 2)) (+ 1 z))) (/ (* t (* z (- (* -2 (/ (* t (pow z 2)) (+ 1 z))) (/ (* t (* z (- 1 (pow z 2)))) (pow (+ 1 z) 2))))) (+ 1 z)))) (* -1 (/ (* t (* z (- (* -1 (/ (* (pow t 2) (pow z 2)) (+ 1 z))) (/ (* t (* z (- (* -2 (/ (* t (pow z 2)) (+ 1 z))) (/ (* t (* z (- 1 (pow z 2)))) (pow (+ 1 z) 2))))) (+ 1 z))))) (* x (+ 1 z))))) x))) x)) (* -1 (/ (- 1 (pow z 2)) (+ 1 z))))))> |
#<alt x> |
#<alt (+ x (* z (- t x)))> |
#<alt (+ x (* z (- (+ t (* z (- (* -1 (/ (pow (- t x) 2) x)) (/ (* (- t x) (- x t)) x)))) x)))> |
#<alt (+ x (* z (- (+ t (* z (- (+ (* -1 (/ (* z (* (- x t) (- (* -1 (/ (pow (- t x) 2) x)) (/ (* (- t x) (- x t)) x)))) x)) (* -1 (/ (pow (- t x) 2) x))) (/ (* (- t x) (- x t)) x)))) x)))> |
#<alt (* -1 (/ (* z (pow (- t x) 2)) (- x t)))> |
#<alt (* z (+ (* -1 (/ (pow (- t x) 2) (- x t))) (/ (* x (pow (- t x) 2)) (* z (pow (- x t) 2)))))> |
#<alt (* z (- (+ (* -1 (/ (pow (- t x) 2) (- x t))) (/ (pow x 2) (* (pow z 2) (- x t)))) (+ (* -1 (/ (* x (pow (- t x) 2)) (* z (pow (- x t) 2)))) (/ (* (pow x 2) (pow (- t x) 2)) (* (pow z 2) (pow (- x t) 3))))))> |
#<alt (* z (- (+ (* -1 (/ (* x (- (/ (pow x 2) (- x t)) (/ (* (pow x 2) (pow (- t x) 2)) (pow (- x t) 3)))) (* (pow z 3) (- x t)))) (+ (* -1 (/ (pow (- t x) 2) (- x t))) (/ (pow x 2) (* (pow z 2) (- x t))))) (+ (* -1 (/ (* x (pow (- t x) 2)) (* z (pow (- x t) 2)))) (/ (* (pow x 2) (pow (- t x) 2)) (* (pow z 2) (pow (- x t) 3))))))> |
#<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 (/ (- (pow x 2) (* (pow x 2) (pow z 2))) (- x (* -1 (* x z))))> |
#<alt (- (+ (* t (- (* 2 (/ (* x (pow z 2)) (- x (* -1 (* x z))))) (* -1 (/ (* z (- (pow x 2) (* (pow x 2) (pow z 2)))) (pow (- x (* -1 (* x z))) 2))))) (/ (pow x 2) (- x (* -1 (* x z))))) (/ (* (pow x 2) (pow z 2)) (- x (* -1 (* x z)))))> |
#<alt (- (+ (* t (- (+ (* 2 (/ (* x (pow z 2)) (- x (* -1 (* x z))))) (* t (- (* -1 (/ (pow z 2) (- x (* -1 (* x z))))) (* -1 (/ (* z (- (* 2 (/ (* x (pow z 2)) (- x (* -1 (* x z))))) (* -1 (/ (* z (- (pow x 2) (* (pow x 2) (pow z 2)))) (pow (- x (* -1 (* x z))) 2))))) (- x (* -1 (* x z)))))))) (* -1 (/ (* z (- (pow x 2) (* (pow x 2) (pow z 2)))) (pow (- x (* -1 (* x z))) 2))))) (/ (pow x 2) (- x (* -1 (* x z))))) (/ (* (pow x 2) (pow z 2)) (- x (* -1 (* x z)))))> |
#<alt (- (+ (* t (- (+ (* 2 (/ (* x (pow z 2)) (- x (* -1 (* x z))))) (* t (- (+ (* -1 (/ (pow z 2) (- x (* -1 (* x z))))) (/ (* t (* z (- (* -1 (/ (pow z 2) (- x (* -1 (* x z))))) (* -1 (/ (* z (- (* 2 (/ (* x (pow z 2)) (- x (* -1 (* x z))))) (* -1 (/ (* z (- (pow x 2) (* (pow x 2) (pow z 2)))) (pow (- x (* -1 (* x z))) 2))))) (- x (* -1 (* x z)))))))) (- x (* -1 (* x z))))) (* -1 (/ (* z (- (* 2 (/ (* x (pow z 2)) (- x (* -1 (* x z))))) (* -1 (/ (* z (- (pow x 2) (* (pow x 2) (pow z 2)))) (pow (- x (* -1 (* x z))) 2))))) (- x (* -1 (* x z)))))))) (* -1 (/ (* z (- (pow x 2) (* (pow x 2) (pow z 2)))) (pow (- x (* -1 (* x z))) 2))))) (/ (pow x 2) (- x (* -1 (* x z))))) (/ (* (pow x 2) (pow z 2)) (- x (* -1 (* x z)))))> |
#<alt (* t z)> |
#<alt (* t (- (+ z (* -2 (/ (* x z) t))) (* -1 (/ (- x (* -1 (* x z))) t))))> |
#<alt (* t (- (+ z (+ (* -2 (/ (* x z) t)) (* -1 (/ (- (pow x 2) (* (pow x 2) (pow z 2))) (* (pow t 2) z))))) (+ (* -1 (/ (* (- x (* -1 (* x z))) (- (* -2 (* x z)) (* -1 (- x (* -1 (* x z)))))) (* (pow t 2) z))) (* -1 (/ (- x (* -1 (* x z))) t)))))> |
#<alt (* t (- (+ z (+ (* -2 (/ (* x z) t)) (+ (* -1 (/ (- (pow x 2) (* (pow x 2) (pow z 2))) (* (pow t 2) z))) (/ (* (- x (* -1 (* x z))) (- (* -1 (/ (- (pow x 2) (* (pow x 2) (pow z 2))) z)) (* -1 (/ (* (- x (* -1 (* x z))) (- (* -2 (* x z)) (* -1 (- x (* -1 (* x z)))))) z)))) (* (pow t 3) z))))) (+ (* -1 (/ (* (- x (* -1 (* x z))) (- (* -2 (* x z)) (* -1 (- x (* -1 (* x z)))))) (* (pow t 2) z))) (* -1 (/ (- x (* -1 (* x z))) t)))))> |
#<alt (* t z)> |
#<alt (* -1 (* t (+ (* -1 z) (* -1 (/ (- (* -2 (* x z)) (* -1 (- x (* -1 (* x z))))) t)))))> |
#<alt (* -1 (* t (+ (* -1 z) (* -1 (/ (- (+ (* -2 (* x z)) (* -1 (/ (- (/ (pow x 2) z) (+ (* (pow x 2) z) (/ (* (- x (* -1 (* x z))) (- (* -2 (* x z)) (* -1 (- x (* -1 (* x z)))))) z))) t))) (* -1 (- x (* -1 (* x z))))) t)))))> |
#<alt (* -1 (* t (+ (* -1 z) (* -1 (/ (- (+ (* -2 (* x z)) (* -1 (/ (- (+ (/ (* (- x (* -1 (* x z))) (- (/ (pow x 2) z) (+ (* (pow x 2) z) (/ (* (- x (* -1 (* x z))) (- (* -2 (* x z)) (* -1 (- x (* -1 (* x z)))))) z)))) (* t z)) (/ (pow x 2) z)) (+ (* (pow x 2) z) (/ (* (- x (* -1 (* x z))) (- (* -2 (* x z)) (* -1 (- x (* -1 (* x z)))))) z))) t))) (* -1 (- x (* -1 (* x z))))) t)))))> |
#<alt (* -1 (* (pow t 2) (pow z 2)))> |
#<alt (- (* 2 (* t (* x (pow z 2)))) (* (pow t 2) (pow z 2)))> |
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#<alt (- (* x (- (* x (- 1 (pow z 2))) (* -2 (* t (pow z 2))))) (* (pow t 2) (pow z 2)))> |
#<alt (* (pow x 2) (- 1 (pow z 2)))> |
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#<alt (* (pow x 2) (- (+ 1 (* -1 (/ (* (pow t 2) (pow z 2)) (pow x 2)))) (+ (* -2 (/ (* t (pow z 2)) x)) (pow z 2))))> |
#<alt (* (pow x 2) (- (+ 1 (* -1 (/ (* (pow t 2) (pow z 2)) (pow x 2)))) (+ (* -2 (/ (* t (pow z 2)) x)) (pow z 2))))> |
#<alt (* (pow x 2) (- 1 (pow z 2)))> |
#<alt (* (pow x 2) (- (+ 1 (* 2 (/ (* t (pow z 2)) x))) (pow z 2)))> |
#<alt (* (pow x 2) (- (+ 1 (* -1 (/ (- (/ (* (pow t 2) (pow z 2)) x) (* 2 (* t (pow z 2)))) x))) (pow z 2)))> |
#<alt (* (pow x 2) (- (+ 1 (* -1 (/ (- (/ (* (pow t 2) (pow z 2)) x) (* 2 (* t (pow z 2)))) x))) (pow z 2)))> |
#<alt (pow x 2)> |
#<alt (+ (* -1 (* (pow z 2) (pow (- t x) 2))) (pow x 2))> |
#<alt (+ (* -1 (* (pow z 2) (pow (- t x) 2))) (pow x 2))> |
#<alt (+ (* -1 (* (pow z 2) (pow (- t x) 2))) (pow x 2))> |
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#<alt (* (pow z 2) (- (/ (pow x 2) (pow z 2)) (pow (- t x) 2)))> |
#<alt (* -1 (* (pow z 2) (pow (- t x) 2)))> |
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#<alt (* (pow z 2) (- (/ (pow x 2) (pow z 2)) (pow (- t x) 2)))> |
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#<alt (- (+ (* t (- (* -1 (* t (pow z 2))) (* -2 (* x (pow z 2))))) (pow x 2)) (* (pow x 2) (pow z 2)))> |
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#<alt (* (pow t 2) (- (/ (pow x 2) (pow t 2)) (+ (* -2 (/ (* x (pow z 2)) t)) (+ (/ (* (pow x 2) (pow z 2)) (pow t 2)) (pow z 2)))))> |
#<alt (* -1 (* (pow t 2) (pow z 2)))> |
#<alt (* (pow t 2) (- (* 2 (/ (* x (pow z 2)) t)) (pow z 2)))> |
#<alt (* (pow t 2) (- (* -1 (/ (- (* -1 (/ (- (pow x 2) (* (pow x 2) (pow z 2))) t)) (* 2 (* x (pow z 2)))) t)) (pow z 2)))> |
#<alt (* (pow t 2) (- (* -1 (/ (- (* -1 (/ (- (pow x 2) (* (pow x 2) (pow z 2))) t)) (* 2 (* x (pow z 2)))) t)) (pow z 2)))> |
#<alt (/ 1 (* t z))> |
#<alt (+ (* x (- (/ 1 (* (pow t 2) z)) (/ 1 (* (pow t 2) (pow z 2))))) (/ 1 (* t z)))> |
#<alt (+ (* x (- (+ (* x (- (/ 1 (* (pow t 3) z)) (* 2 (/ 1 (* (pow t 3) (pow z 2)))))) (/ 1 (* (pow t 2) z))) (/ 1 (* (pow t 2) (pow z 2))))) (/ 1 (* t z)))> |
#<alt (+ (* x (- (+ (* x (- (+ (* x (- (/ 1 (* (pow t 4) z)) (* 3 (/ 1 (* (pow t 4) (pow z 2)))))) (/ 1 (* (pow t 3) z))) (* 2 (/ 1 (* (pow t 3) (pow z 2)))))) (/ 1 (* (pow t 2) z))) (/ 1 (* (pow t 2) (pow z 2))))) (/ 1 (* t z)))> |
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#<alt x> |
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#<alt x> |
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#<alt x> |
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#<alt (* t z)> |
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#<alt (* t z)> |
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#<alt (* t z)> |
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#<alt (/ x y)> |
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#<alt (/ x y)> |
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#<alt (/ x (* z (pow (- t x) 2)))> |
#<alt (/ x (* z (pow (- t x) 2)))> |
#<alt (/ x (* z (pow (- t x) 2)))> |
#<alt (/ x (* z (pow (- t x) 2)))> |
#<alt (/ x (* z (pow (- t x) 2)))> |
#<alt (/ 1 (* x z))> |
#<alt (+ (* 2 (/ t (* (pow x 2) z))) (/ 1 (* x z)))> |
#<alt (+ (* t (+ (* 3 (/ t (* (pow x 3) z))) (* 2 (/ 1 (* (pow x 2) z))))) (/ 1 (* x z)))> |
#<alt (+ (* t (+ (* t (+ (* 4 (/ t (* (pow x 4) z))) (* 3 (/ 1 (* (pow x 3) z))))) (* 2 (/ 1 (* (pow x 2) z))))) (/ 1 (* x z)))> |
#<alt (/ x (* (pow t 2) z))> |
#<alt (/ (+ (* 2 (/ (pow x 2) (* t z))) (/ x z)) (pow t 2))> |
#<alt (/ (- (+ (* -1 (/ (+ (* -4 (/ (pow x 3) z)) (/ (pow x 3) z)) (pow t 2))) (/ x z)) (* -2 (/ (pow x 2) (* t z)))) (pow t 2))> |
#<alt (/ (- (+ (* -1 (/ (+ (* 2 (* x (+ (* -4 (/ (pow x 3) z)) (/ (pow x 3) z)))) (* 2 (/ (pow x 4) z))) (pow t 3))) (/ x z)) (+ (* -4 (/ (pow x 3) (* (pow t 2) z))) (+ (* -2 (/ (pow x 2) (* t z))) (/ (pow x 3) (* (pow t 2) z))))) (pow t 2))> |
#<alt (/ x (* (pow t 2) z))> |
#<alt (/ (+ (* 2 (/ (pow x 2) (* t z))) (/ x z)) (pow t 2))> |
#<alt (/ (+ (* -1 (/ (- (+ (* -4 (/ (pow x 3) (* t z))) (/ (pow x 3) (* t z))) (* 2 (/ (pow x 2) z))) t)) (/ x z)) (pow t 2))> |
#<alt (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (* x (+ (* -4 (/ (pow x 3) z)) (/ (pow x 3) z))) t)) (* -2 (/ (pow x 4) (* t z)))) (+ (* -4 (/ (pow x 3) z)) (/ (pow x 3) z))) t)) (* 2 (/ (pow x 2) z))) t)) (/ x z)) (pow t 2))> |
#<alt (* z (pow (- t x) 2))> |
#<alt (* z (pow (- t x) 2))> |
#<alt (* z (pow (- t x) 2))> |
#<alt (* z (pow (- t x) 2))> |
#<alt (* z (pow (- t x) 2))> |
#<alt (* z (pow (- t x) 2))> |
#<alt (* z (pow (- t x) 2))> |
#<alt (* z (pow (- t x) 2))> |
#<alt (* z (pow (- t x) 2))> |
#<alt (* z (pow (- t x) 2))> |
#<alt (* z (pow (- t x) 2))> |
#<alt (* z (pow (- t x) 2))> |
#<alt (* (pow x 2) z)> |
#<alt (+ (* -2 (* t (* x z))) (* (pow x 2) z))> |
#<alt (+ (* t (+ (* -2 (* x z)) (* t z))) (* (pow x 2) z))> |
#<alt (+ (* t (+ (* -2 (* x z)) (* t z))) (* (pow x 2) z))> |
#<alt (* (pow t 2) z)> |
#<alt (* (pow t 2) (+ z (* -2 (/ (* x z) t))))> |
#<alt (* (pow t 2) (+ z (+ (* -2 (/ (* x z) t)) (/ (* (pow x 2) z) (pow t 2)))))> |
#<alt (* (pow t 2) (+ z (+ (* -2 (/ (* x z) t)) (/ (* (pow x 2) z) (pow t 2)))))> |
#<alt (* (pow t 2) z)> |
#<alt (* (pow t 2) (+ z (* -2 (/ (* x z) t))))> |
#<alt (* (pow t 2) (+ z (* -1 (/ (+ (* -1 (/ (* (pow x 2) z) t)) (* 2 (* x z))) t))))> |
#<alt (* (pow t 2) (+ z (* -1 (/ (+ (* -1 (/ (* (pow x 2) z) t)) (* 2 (* x z))) t))))> |
#<alt (* (pow t 2) z)> |
#<alt (+ (* -2 (* t (* x z))) (* (pow t 2) z))> |
#<alt (+ (* x (+ (* -2 (* t z)) (* x z))) (* (pow t 2) z))> |
#<alt (+ (* x (+ (* -2 (* t z)) (* x z))) (* (pow t 2) z))> |
#<alt (* (pow x 2) z)> |
#<alt (* (pow x 2) (+ z (* -2 (/ (* t z) x))))> |
#<alt (* (pow x 2) (+ z (+ (* -2 (/ (* t z) x)) (/ (* (pow t 2) z) (pow x 2)))))> |
#<alt (* (pow x 2) (+ z (+ (* -2 (/ (* t z) x)) (/ (* (pow t 2) z) (pow x 2)))))> |
#<alt (* (pow x 2) z)> |
#<alt (* (pow x 2) (+ z (* -2 (/ (* t z) x))))> |
#<alt (* (pow x 2) (+ z (* -1 (/ (+ (* -1 (/ (* (pow t 2) z) x)) (* 2 (* t z))) x))))> |
#<alt (* (pow x 2) (+ z (* -1 (/ (+ (* -1 (/ (* (pow t 2) z) x)) (* 2 (* t z))) x))))> |
225 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | -inf | (+ (* (* z (- (tanh (/ t y)) (tanh (/ x y)))) y) x) |
| 2.0ms | t | @ | 0 | (* (* t t) (* z z)) |
| 1.0ms | x | @ | -inf | (neg (/ (- (/ x (* z (* (- t x) (- t x)))) (/ 1 (- t x))) z)) |
| 1.0ms | x | @ | inf | (neg (/ (- (/ x (* z (* (- t x) (- t x)))) (/ 1 (- t x))) z)) |
| 1.0ms | y | @ | -inf | (* (- (tanh (/ t y)) (tanh (/ x y))) y) |
| 1× | egg-herbie |
| 5 596× | lower-*.f64 |
| 5 596× | lower-*.f32 |
| 5 192× | lower-fma.f64 |
| 5 192× | lower-fma.f32 |
| 4 640× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 2331 | 41614 |
| 1 | 7847 | 41590 |
| 0 | 8218 | 40304 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
x |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (* z (- t x))) |
(+ x (+ (* z (- t x)) (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y))) |
(+ x (+ (* z (- t x)) (+ (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y) (/ (* z (- (+ (* 1/2 (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3))))) (* 1/2 (pow x 3))) (+ (* 1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3))))) (* 1/2 (pow t 3))))) (pow y 2))))) |
(+ x (+ (* z (- t x)) (+ (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y) (+ (/ (* z (- (+ (* -1/2 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))))) (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (* 1/2 (+ (* -1 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/6 (pow t 3)))))) (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (* 1/12 (pow t 4)))))))) (+ (* -1/2 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (* -1/2 (pow t 3))))) (+ (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2)))) (* 1/2 (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4)))))))))) (pow y 3)) (/ (* z (- (+ (* 1/2 (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3))))) (* 1/2 (pow x 3))) (+ (* 1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3))))) (* 1/2 (pow t 3))))) (pow y 2)))))) |
(+ x (* -1 (* z (- (* -1 t) (* -1 x))))) |
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(* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))) |
(+ (* x (+ 1 (* -1 z))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))) |
(+ (* x (+ 1 (+ (* -1 z) (* 1/3 (/ (* (pow x 2) z) (pow y 2)))))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))) |
(+ (* x (+ 1 (+ (* -1 z) (* (pow x 2) (+ (* -2/15 (/ (* (pow x 2) z) (pow y 4))) (* 1/3 (/ z (pow y 2)))))))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))) |
x |
(* x (+ 1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x))) |
(* x (+ 1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x))) |
(* x (+ 1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x))) |
x |
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(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
x |
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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)))))))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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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(* z (+ (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (/ x z))) |
(* z (+ (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (/ x z))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* -1 (* z (+ (* -1 (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (* -1 (/ x z))))) |
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(* t z) |
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(/ (* x (- 1 (pow z 2))) (- 1 (* -1 z))) |
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(* x (- (+ (* -1 (/ (* (pow t 2) (pow z 2)) (* (pow x 2) (- 1 (* -1 z))))) (+ (* 2 (/ (* t (pow z 2)) (* x (- 1 (* -1 z))))) (/ 1 (- 1 (* -1 z))))) (+ (* -1 (/ (* t (* z (- 1 (pow z 2)))) (* x (pow (- 1 (* -1 z)) 2)))) (+ (* -1 (/ (* t (* z (- (* 2 (/ (* t (pow z 2)) (- 1 (* -1 z)))) (* -1 (/ (* t (* z (- 1 (pow z 2)))) (pow (- 1 (* -1 z)) 2)))))) (* (pow x 2) (- 1 (* -1 z))))) (/ (pow z 2) (- 1 (* -1 z))))))) |
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(/ (* x (- 1 (pow z 2))) (+ 1 z)) |
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(* -1 (* x (+ (* -1 (/ (- 1 (pow z 2)) (+ 1 z))) (* -1 (/ (- (+ (* -1 (- (* -2 (/ (* t (pow z 2)) (+ 1 z))) (/ (* t (* z (- 1 (pow z 2)))) (pow (+ 1 z) 2)))) (* -1 (/ (* (pow t 2) (pow z 2)) (* x (+ 1 z))))) (/ (* t (* z (- (* -2 (/ (* t (pow z 2)) (+ 1 z))) (/ (* t (* z (- 1 (pow z 2)))) (pow (+ 1 z) 2))))) (* x (+ 1 z)))) x))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (- (* -2 (/ (* t (pow z 2)) (+ 1 z))) (/ (* t (* z (- 1 (pow z 2)))) (pow (+ 1 z) 2)))) (* -1 (/ (+ (* -1 (- (* -1 (/ (* (pow t 2) (pow z 2)) (+ 1 z))) (/ (* t (* z (- (* -2 (/ (* t (pow z 2)) (+ 1 z))) (/ (* t (* z (- 1 (pow z 2)))) (pow (+ 1 z) 2))))) (+ 1 z)))) (* -1 (/ (* t (* z (- (* -1 (/ (* (pow t 2) (pow z 2)) (+ 1 z))) (/ (* t (* z (- (* -2 (/ (* t (pow z 2)) (+ 1 z))) (/ (* t (* z (- 1 (pow z 2)))) (pow (+ 1 z) 2))))) (+ 1 z))))) (* x (+ 1 z))))) x))) x)) (* -1 (/ (- 1 (pow z 2)) (+ 1 z)))))) |
x |
(+ x (* z (- t x))) |
(+ x (* z (- (+ t (* z (- (* -1 (/ (pow (- t x) 2) x)) (/ (* (- t x) (- x t)) x)))) x))) |
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(* -1 (/ (* z (pow (- t x) 2)) (- x t))) |
(* z (+ (* -1 (/ (pow (- t x) 2) (- x t))) (/ (* x (pow (- t x) 2)) (* z (pow (- x t) 2))))) |
(* z (- (+ (* -1 (/ (pow (- t x) 2) (- x t))) (/ (pow x 2) (* (pow z 2) (- x t)))) (+ (* -1 (/ (* x (pow (- t x) 2)) (* z (pow (- x t) 2)))) (/ (* (pow x 2) (pow (- t x) 2)) (* (pow z 2) (pow (- x t) 3)))))) |
(* z (- (+ (* -1 (/ (* x (- (/ (pow x 2) (- x t)) (/ (* (pow x 2) (pow (- t x) 2)) (pow (- x t) 3)))) (* (pow z 3) (- x t)))) (+ (* -1 (/ (pow (- t x) 2) (- x t))) (/ (pow x 2) (* (pow z 2) (- x t))))) (+ (* -1 (/ (* x (pow (- t x) 2)) (* z (pow (- x t) 2)))) (/ (* (pow x 2) (pow (- t x) 2)) (* (pow z 2) (pow (- x t) 3)))))) |
(* z (- t x)) |
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(* -1 (* z (+ (* -1 (- t x)) (* -1 (/ x z))))) |
(/ (- (pow x 2) (* (pow x 2) (pow z 2))) (- x (* -1 (* x z)))) |
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(- (+ (* t (- (+ (* 2 (/ (* x (pow z 2)) (- x (* -1 (* x z))))) (* t (- (* -1 (/ (pow z 2) (- x (* -1 (* x z))))) (* -1 (/ (* z (- (* 2 (/ (* x (pow z 2)) (- x (* -1 (* x z))))) (* -1 (/ (* z (- (pow x 2) (* (pow x 2) (pow z 2)))) (pow (- x (* -1 (* x z))) 2))))) (- x (* -1 (* x z)))))))) (* -1 (/ (* z (- (pow x 2) (* (pow x 2) (pow z 2)))) (pow (- x (* -1 (* x z))) 2))))) (/ (pow x 2) (- x (* -1 (* x z))))) (/ (* (pow x 2) (pow z 2)) (- x (* -1 (* x z))))) |
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(* t z) |
(* t (- (+ z (* -2 (/ (* x z) t))) (* -1 (/ (- x (* -1 (* x z))) t)))) |
(* t (- (+ z (+ (* -2 (/ (* x z) t)) (* -1 (/ (- (pow x 2) (* (pow x 2) (pow z 2))) (* (pow t 2) z))))) (+ (* -1 (/ (* (- x (* -1 (* x z))) (- (* -2 (* x z)) (* -1 (- x (* -1 (* x z)))))) (* (pow t 2) z))) (* -1 (/ (- x (* -1 (* x z))) t))))) |
(* t (- (+ z (+ (* -2 (/ (* x z) t)) (+ (* -1 (/ (- (pow x 2) (* (pow x 2) (pow z 2))) (* (pow t 2) z))) (/ (* (- x (* -1 (* x z))) (- (* -1 (/ (- (pow x 2) (* (pow x 2) (pow z 2))) z)) (* -1 (/ (* (- x (* -1 (* x z))) (- (* -2 (* x z)) (* -1 (- x (* -1 (* x z)))))) z)))) (* (pow t 3) z))))) (+ (* -1 (/ (* (- x (* -1 (* x z))) (- (* -2 (* x z)) (* -1 (- x (* -1 (* x z)))))) (* (pow t 2) z))) (* -1 (/ (- x (* -1 (* x z))) t))))) |
(* t z) |
(* -1 (* t (+ (* -1 z) (* -1 (/ (- (* -2 (* x z)) (* -1 (- x (* -1 (* x z))))) t))))) |
(* -1 (* t (+ (* -1 z) (* -1 (/ (- (+ (* -2 (* x z)) (* -1 (/ (- (/ (pow x 2) z) (+ (* (pow x 2) z) (/ (* (- x (* -1 (* x z))) (- (* -2 (* x z)) (* -1 (- x (* -1 (* x z)))))) z))) t))) (* -1 (- x (* -1 (* x z))))) t))))) |
(* -1 (* t (+ (* -1 z) (* -1 (/ (- (+ (* -2 (* x z)) (* -1 (/ (- (+ (/ (* (- x (* -1 (* x z))) (- (/ (pow x 2) z) (+ (* (pow x 2) z) (/ (* (- x (* -1 (* x z))) (- (* -2 (* x z)) (* -1 (- x (* -1 (* x z)))))) z)))) (* t z)) (/ (pow x 2) z)) (+ (* (pow x 2) z) (/ (* (- x (* -1 (* x z))) (- (* -2 (* x z)) (* -1 (- x (* -1 (* x z)))))) z))) t))) (* -1 (- x (* -1 (* x z))))) t))))) |
(* -1 (* (pow t 2) (pow z 2))) |
(- (* 2 (* t (* x (pow z 2)))) (* (pow t 2) (pow z 2))) |
(- (* x (- (* x (- 1 (pow z 2))) (* -2 (* t (pow z 2))))) (* (pow t 2) (pow z 2))) |
(- (* x (- (* x (- 1 (pow z 2))) (* -2 (* t (pow z 2))))) (* (pow t 2) (pow z 2))) |
(* (pow x 2) (- 1 (pow z 2))) |
(* (pow x 2) (- (+ 1 (* 2 (/ (* t (pow z 2)) x))) (pow z 2))) |
(* (pow x 2) (- (+ 1 (* -1 (/ (* (pow t 2) (pow z 2)) (pow x 2)))) (+ (* -2 (/ (* t (pow z 2)) x)) (pow z 2)))) |
(* (pow x 2) (- (+ 1 (* -1 (/ (* (pow t 2) (pow z 2)) (pow x 2)))) (+ (* -2 (/ (* t (pow z 2)) x)) (pow z 2)))) |
(* (pow x 2) (- 1 (pow z 2))) |
(* (pow x 2) (- (+ 1 (* 2 (/ (* t (pow z 2)) x))) (pow z 2))) |
(* (pow x 2) (- (+ 1 (* -1 (/ (- (/ (* (pow t 2) (pow z 2)) x) (* 2 (* t (pow z 2)))) x))) (pow z 2))) |
(* (pow x 2) (- (+ 1 (* -1 (/ (- (/ (* (pow t 2) (pow z 2)) x) (* 2 (* t (pow z 2)))) x))) (pow z 2))) |
(pow x 2) |
(+ (* -1 (* (pow z 2) (pow (- t x) 2))) (pow x 2)) |
(+ (* -1 (* (pow z 2) (pow (- t x) 2))) (pow x 2)) |
(+ (* -1 (* (pow z 2) (pow (- t x) 2))) (pow x 2)) |
(* -1 (* (pow z 2) (pow (- t x) 2))) |
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (pow (- t x) 2))) |
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (pow (- t x) 2))) |
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (pow (- t x) 2))) |
(* -1 (* (pow z 2) (pow (- t x) 2))) |
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (pow (- t x) 2))) |
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x |
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x |
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x |
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(+ (* 2 (/ t (* (pow x 2) z))) (/ 1 (* x z))) |
(+ (* t (+ (* 3 (/ t (* (pow x 3) z))) (* 2 (/ 1 (* (pow x 2) z))))) (/ 1 (* x z))) |
(+ (* t (+ (* t (+ (* 4 (/ t (* (pow x 4) z))) (* 3 (/ 1 (* (pow x 3) z))))) (* 2 (/ 1 (* (pow x 2) z))))) (/ 1 (* x z))) |
(/ x (* (pow t 2) z)) |
(/ (+ (* 2 (/ (pow x 2) (* t z))) (/ x z)) (pow t 2)) |
(/ (- (+ (* -1 (/ (+ (* -4 (/ (pow x 3) z)) (/ (pow x 3) z)) (pow t 2))) (/ x z)) (* -2 (/ (pow x 2) (* t z)))) (pow t 2)) |
(/ (- (+ (* -1 (/ (+ (* 2 (* x (+ (* -4 (/ (pow x 3) z)) (/ (pow x 3) z)))) (* 2 (/ (pow x 4) z))) (pow t 3))) (/ x z)) (+ (* -4 (/ (pow x 3) (* (pow t 2) z))) (+ (* -2 (/ (pow x 2) (* t z))) (/ (pow x 3) (* (pow t 2) z))))) (pow t 2)) |
(/ x (* (pow t 2) z)) |
(/ (+ (* 2 (/ (pow x 2) (* t z))) (/ x z)) (pow t 2)) |
(/ (+ (* -1 (/ (- (+ (* -4 (/ (pow x 3) (* t z))) (/ (pow x 3) (* t z))) (* 2 (/ (pow x 2) z))) t)) (/ x z)) (pow t 2)) |
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (* x (+ (* -4 (/ (pow x 3) z)) (/ (pow x 3) z))) t)) (* -2 (/ (pow x 4) (* t z)))) (+ (* -4 (/ (pow x 3) z)) (/ (pow x 3) z))) t)) (* 2 (/ (pow x 2) z))) t)) (/ x z)) (pow t 2)) |
(* z (pow (- t x) 2)) |
(* z (pow (- t x) 2)) |
(* z (pow (- t x) 2)) |
(* z (pow (- t x) 2)) |
(* z (pow (- t x) 2)) |
(* z (pow (- t x) 2)) |
(* z (pow (- t x) 2)) |
(* z (pow (- t x) 2)) |
(* z (pow (- t x) 2)) |
(* z (pow (- t x) 2)) |
(* z (pow (- t x) 2)) |
(* z (pow (- t x) 2)) |
(* (pow x 2) z) |
(+ (* -2 (* t (* x z))) (* (pow x 2) z)) |
(+ (* t (+ (* -2 (* x z)) (* t z))) (* (pow x 2) z)) |
(+ (* t (+ (* -2 (* x z)) (* t z))) (* (pow x 2) z)) |
(* (pow t 2) z) |
(* (pow t 2) (+ z (* -2 (/ (* x z) t)))) |
(* (pow t 2) (+ z (+ (* -2 (/ (* x z) t)) (/ (* (pow x 2) z) (pow t 2))))) |
(* (pow t 2) (+ z (+ (* -2 (/ (* x z) t)) (/ (* (pow x 2) z) (pow t 2))))) |
(* (pow t 2) z) |
(* (pow t 2) (+ z (* -2 (/ (* x z) t)))) |
(* (pow t 2) (+ z (* -1 (/ (+ (* -1 (/ (* (pow x 2) z) t)) (* 2 (* x z))) t)))) |
(* (pow t 2) (+ z (* -1 (/ (+ (* -1 (/ (* (pow x 2) z) t)) (* 2 (* x z))) t)))) |
(* (pow t 2) z) |
(+ (* -2 (* t (* x z))) (* (pow t 2) z)) |
(+ (* x (+ (* -2 (* t z)) (* x z))) (* (pow t 2) z)) |
(+ (* x (+ (* -2 (* t z)) (* x z))) (* (pow t 2) z)) |
(* (pow x 2) z) |
(* (pow x 2) (+ z (* -2 (/ (* t z) x)))) |
(* (pow x 2) (+ z (+ (* -2 (/ (* t z) x)) (/ (* (pow t 2) z) (pow x 2))))) |
(* (pow x 2) (+ z (+ (* -2 (/ (* t z) x)) (/ (* (pow t 2) z) (pow x 2))))) |
(* (pow x 2) z) |
(* (pow x 2) (+ z (* -2 (/ (* t z) x)))) |
(* (pow x 2) (+ z (* -1 (/ (+ (* -1 (/ (* (pow t 2) z) x)) (* 2 (* t z))) x)))) |
(* (pow x 2) (+ z (* -1 (/ (+ (* -1 (/ (* (pow t 2) z) x)) (* 2 (* t z))) x)))) |
| Outputs |
|---|
(+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(fma.f64 (*.f64 y z) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) (exp.f64 (+.f64 (/.f64 x y) (/.f64 (neg.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 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) (exp.f64 (+.f64 (/.f64 x y) (/.f64 (neg.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 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) (exp.f64 (+.f64 (/.f64 x y) (/.f64 (neg.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 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) (exp.f64 (+.f64 (/.f64 x y) (/.f64 (neg.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)))) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(fma.f64 (*.f64 y z) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) (exp.f64 (+.f64 (/.f64 x y) (/.f64 (neg.f64 x) y))))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) (exp.f64 (+.f64 (/.f64 t y) (neg.f64 (/.f64 t y)))))))) x) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(fma.f64 (*.f64 y z) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) (exp.f64 (+.f64 (/.f64 x y) (/.f64 (neg.f64 x) y))))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) (exp.f64 (+.f64 (/.f64 t y) (neg.f64 (/.f64 t y)))))))) x) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(fma.f64 (*.f64 y z) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) (exp.f64 (+.f64 (/.f64 x y) (/.f64 (neg.f64 x) y))))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) (exp.f64 (+.f64 (/.f64 t y) (neg.f64 (/.f64 t y)))))))) x) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(fma.f64 (*.f64 y z) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) (exp.f64 (+.f64 (/.f64 x y) (/.f64 (neg.f64 x) y))))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) (exp.f64 (+.f64 (/.f64 t y) (neg.f64 (/.f64 t y)))))))) x) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(fma.f64 (*.f64 y z) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) (exp.f64 (+.f64 (/.f64 x y) (/.f64 (neg.f64 x) y))))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) (exp.f64 (+.f64 (/.f64 t y) (neg.f64 (/.f64 t y)))))))) x) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(fma.f64 (*.f64 y z) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) (exp.f64 (+.f64 (/.f64 x y) (/.f64 (neg.f64 x) y))))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) (exp.f64 (+.f64 (/.f64 t y) (neg.f64 (/.f64 t y)))))))) x) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(fma.f64 (*.f64 y z) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) (exp.f64 (+.f64 (/.f64 x y) (/.f64 (neg.f64 x) y))))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) (exp.f64 (+.f64 (/.f64 t y) (neg.f64 (/.f64 t y)))))))) x) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(fma.f64 (*.f64 y z) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) (exp.f64 (+.f64 (/.f64 x y) (/.f64 (neg.f64 x) y))))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) (exp.f64 (+.f64 (/.f64 t y) (neg.f64 (/.f64 t y)))))))) x) |
x |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(fma.f64 (*.f64 y z) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) (exp.f64 (+.f64 (/.f64 x y) (/.f64 (neg.f64 x) y))))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) (exp.f64 (+.f64 (/.f64 t y) (neg.f64 (/.f64 t y)))))))) x) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(fma.f64 (*.f64 y z) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) (exp.f64 (+.f64 (/.f64 x y) (/.f64 (neg.f64 x) y))))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) (exp.f64 (+.f64 (/.f64 t y) (neg.f64 (/.f64 t y)))))))) x) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(fma.f64 (*.f64 y z) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))) (exp.f64 (+.f64 (/.f64 x y) (/.f64 (neg.f64 x) y))))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))) (exp.f64 (+.f64 (/.f64 t y) (neg.f64 (/.f64 t y)))))))) x) |
(+ x (* z (- t x))) |
(fma.f64 z (-.f64 t x) x) |
(+ x (+ (* z (- t x)) (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y))) |
(+.f64 x (fma.f64 z (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 t t)) (*.f64 #s(literal 0 binary64) (*.f64 x x)))) y) (*.f64 z (-.f64 t x)))) |
(+ x (+ (* z (- t x)) (+ (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y) (/ (* z (- (+ (* 1/2 (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3))))) (* 1/2 (pow x 3))) (+ (* 1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3))))) (* 1/2 (pow t 3))))) (pow y 2))))) |
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(neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 x z (*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 z z)))) (*.f64 z (*.f64 z z)))) (neg.f64 (/.f64 (-.f64 (+.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 (neg.f64 x) z)) (*.f64 (*.f64 x x) (*.f64 z z))) (*.f64 z (*.f64 z z)))) (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 z t)))) (fma.f64 (*.f64 #s(literal 3 binary64) x) (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 (neg.f64 x) z)) (*.f64 (*.f64 x x) (*.f64 z z))) (*.f64 z (*.f64 z z)))) (fma.f64 (*.f64 #s(literal 3 binary64) x) (-.f64 (neg.f64 (/.f64 (fma.f64 x z (*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 z z)))) (*.f64 z (*.f64 z z)))) (neg.f64 (/.f64 (*.f64 #s(literal 3 binary64) x) z))) (neg.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) z)))) t) (fma.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 x z (*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 z z)))) (*.f64 z (*.f64 z z)))) (neg.f64 (/.f64 (*.f64 #s(literal 3 binary64) x) z))) t) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 t (pow.f64 z #s(literal 4 binary64))))))) (fma.f64 (*.f64 #s(literal 3 binary64) x) (-.f64 (neg.f64 (/.f64 (fma.f64 x z (*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 z z)))) (*.f64 z (*.f64 z z)))) (neg.f64 (/.f64 (*.f64 #s(literal 3 binary64) x) z))) (neg.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) z)))) t))) (neg.f64 (/.f64 (*.f64 #s(literal 3 binary64) x) z))) t)) (/.f64 #s(literal 1 binary64) z)) t)) |
(/ x (* (pow t 2) z)) |
(/.f64 x (*.f64 z (*.f64 t t))) |
(* x (+ (* 2 (/ x (* (pow t 3) z))) (/ 1 (* (pow t 2) z)))) |
(*.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 x (*.f64 z (*.f64 t (*.f64 t t)))) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 t t))))) |
(* x (+ (* x (+ (* 3 (/ x (* (pow t 4) z))) (* 2 (/ 1 (* (pow t 3) z))))) (/ 1 (* (pow t 2) z)))) |
(*.f64 x (fma.f64 x (fma.f64 #s(literal 3 binary64) (/.f64 x (*.f64 z (pow.f64 t #s(literal 4 binary64)))) (/.f64 #s(literal 2 binary64) (*.f64 z (*.f64 t (*.f64 t t))))) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 t t))))) |
(* x (+ (* x (+ (* x (+ (* 4 (/ x (* (pow t 5) z))) (* 3 (/ 1 (* (pow t 4) z))))) (* 2 (/ 1 (* (pow t 3) z))))) (/ 1 (* (pow t 2) z)))) |
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 #s(literal 4 binary64) (/.f64 x (*.f64 z (pow.f64 t #s(literal 5 binary64)))) (/.f64 #s(literal 3 binary64) (*.f64 z (pow.f64 t #s(literal 4 binary64))))) (/.f64 #s(literal 2 binary64) (*.f64 z (*.f64 t (*.f64 t t))))) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 t t))))) |
(/ 1 (* x z)) |
(/.f64 #s(literal 1 binary64) (*.f64 x z)) |
(/ (+ (* 2 (/ t (* x z))) (/ 1 z)) x) |
(/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 t (*.f64 x z)) (/.f64 #s(literal 1 binary64) z)) x) |
(/ (- (+ (* -1 (/ (+ (* -4 (/ (pow t 2) z)) (/ (pow t 2) z)) (pow x 2))) (/ 1 z)) (* -2 (/ t (* x z)))) x) |
(/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal -3 binary64) (/.f64 (*.f64 t t) z)) (*.f64 x x))) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 #s(literal -2 binary64) t) (*.f64 x z)))) x) |
(/ (- (+ (* -1 (/ (+ (* 2 (* t (+ (* -4 (/ (pow t 2) z)) (/ (pow t 2) z)))) (* 2 (/ (pow t 3) z))) (pow x 3))) (/ 1 z)) (+ (* -4 (/ (pow t 2) (* (pow x 2) z))) (+ (* -2 (/ t (* x z))) (/ (pow t 2) (* (pow x 2) z))))) x) |
(/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 t (*.f64 #s(literal -3 binary64) (/.f64 (*.f64 t t) z)) (/.f64 (*.f64 t (*.f64 t t)) z))) (*.f64 x (*.f64 x x)))) (-.f64 (/.f64 #s(literal 1 binary64) z) (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 t t) (*.f64 z (*.f64 x x))) (fma.f64 #s(literal -2 binary64) (/.f64 t (*.f64 x z)) (/.f64 (*.f64 t t) (*.f64 z (*.f64 x x))))))) x) |
(/ 1 (* x z)) |
(/.f64 #s(literal 1 binary64) (*.f64 x z)) |
(* -1 (/ (- (* -2 (/ t (* x z))) (/ 1 z)) x)) |
(neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) (*.f64 x z)) (/.f64 #s(literal 1 binary64) z)) x)) |
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (pow t 2) (* x z))) (* 4 (/ (pow t 2) (* x z)))) (* -2 (/ t z))) x)) (/ 1 z)) x)) |
(neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 t t) (*.f64 x z)) #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 t z))) x)) (/.f64 #s(literal 1 binary64) z)) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (* t (+ (* -1 (/ (pow t 2) z)) (* 4 (/ (pow t 2) z)))) x)) (* 2 (/ (pow t 3) (* x z)))) (+ (* -1 (/ (pow t 2) z)) (* 4 (/ (pow t 2) z)))) x)) (* -2 (/ t z))) x)) (/ 1 z)) x)) |
(neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 t (*.f64 (/.f64 (*.f64 t t) z) #s(literal 3 binary64))) x) (-.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 t (*.f64 t t))) (*.f64 x z)) (*.f64 (/.f64 (*.f64 t t) z) #s(literal 3 binary64)))) x)) (*.f64 #s(literal 2 binary64) (/.f64 t z))) x)) (/.f64 #s(literal 1 binary64) z)) x)) |
(/ x (* z (pow (- t x) 2))) |
(/.f64 x (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x)))) |
(/ x (* z (pow (- t x) 2))) |
(/.f64 x (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x)))) |
(/ x (* z (pow (- t x) 2))) |
(/.f64 x (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x)))) |
(/ x (* z (pow (- t x) 2))) |
(/.f64 x (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x)))) |
(/ x (* z (pow (- t x) 2))) |
(/.f64 x (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x)))) |
(/ x (* z (pow (- t x) 2))) |
(/.f64 x (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x)))) |
(/ x (* z (pow (- t x) 2))) |
(/.f64 x (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x)))) |
(/ x (* z (pow (- t x) 2))) |
(/.f64 x (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x)))) |
(/ x (* z (pow (- t x) 2))) |
(/.f64 x (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x)))) |
(/ x (* z (pow (- t x) 2))) |
(/.f64 x (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x)))) |
(/ x (* z (pow (- t x) 2))) |
(/.f64 x (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x)))) |
(/ x (* z (pow (- t x) 2))) |
(/.f64 x (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x)))) |
(/ 1 (* x z)) |
(/.f64 #s(literal 1 binary64) (*.f64 x z)) |
(+ (* 2 (/ t (* (pow x 2) z))) (/ 1 (* x z))) |
(fma.f64 #s(literal 2 binary64) (/.f64 t (*.f64 z (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x z))) |
(+ (* t (+ (* 3 (/ t (* (pow x 3) z))) (* 2 (/ 1 (* (pow x 2) z))))) (/ 1 (* x z))) |
(fma.f64 t (fma.f64 #s(literal 3 binary64) (/.f64 t (*.f64 z (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 2 binary64) (*.f64 z (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x z))) |
(+ (* t (+ (* t (+ (* 4 (/ t (* (pow x 4) z))) (* 3 (/ 1 (* (pow x 3) z))))) (* 2 (/ 1 (* (pow x 2) z))))) (/ 1 (* x z))) |
(fma.f64 t (fma.f64 t (fma.f64 #s(literal 4 binary64) (/.f64 t (*.f64 z (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 3 binary64) (*.f64 z (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 2 binary64) (*.f64 z (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x z))) |
(/ x (* (pow t 2) z)) |
(/.f64 x (*.f64 z (*.f64 t t))) |
(/ (+ (* 2 (/ (pow x 2) (* t z))) (/ x z)) (pow t 2)) |
(/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 x x) (*.f64 z t)) (/.f64 x z)) (*.f64 t t)) |
(/ (- (+ (* -1 (/ (+ (* -4 (/ (pow x 3) z)) (/ (pow x 3) z)) (pow t 2))) (/ x z)) (* -2 (/ (pow x 2) (* t z)))) (pow t 2)) |
(/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal -3 binary64) (/.f64 (*.f64 x (*.f64 x x)) z)) (*.f64 t t))) (-.f64 (/.f64 x z) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) (*.f64 z t)))) (*.f64 t t)) |
(/ (- (+ (* -1 (/ (+ (* 2 (* x (+ (* -4 (/ (pow x 3) z)) (/ (pow x 3) z)))) (* 2 (/ (pow x 4) z))) (pow t 3))) (/ x z)) (+ (* -4 (/ (pow x 3) (* (pow t 2) z))) (+ (* -2 (/ (pow x 2) (* t z))) (/ (pow x 3) (* (pow t 2) z))))) (pow t 2)) |
(/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x (*.f64 #s(literal -3 binary64) (/.f64 (*.f64 x (*.f64 x x)) z)) (/.f64 (pow.f64 x #s(literal 4 binary64)) z))) (*.f64 t (*.f64 t t)))) (-.f64 (/.f64 x z) (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 t t))) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 x x) (*.f64 z t)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 t t))))))) (*.f64 t t)) |
(/ x (* (pow t 2) z)) |
(/.f64 x (*.f64 z (*.f64 t t))) |
(/ (+ (* 2 (/ (pow x 2) (* t z))) (/ x z)) (pow t 2)) |
(/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 x x) (*.f64 z t)) (/.f64 x z)) (*.f64 t t)) |
(/ (+ (* -1 (/ (- (+ (* -4 (/ (pow x 3) (* t z))) (/ (pow x 3) (* t z))) (* 2 (/ (pow x 2) z))) t)) (/ x z)) (pow t 2)) |
(/.f64 (+.f64 (/.f64 x z) (neg.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 z t)) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 x x) z))) t))) (*.f64 t t)) |
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (* x (+ (* -4 (/ (pow x 3) z)) (/ (pow x 3) z))) t)) (* -2 (/ (pow x 4) (* t z)))) (+ (* -4 (/ (pow x 3) z)) (/ (pow x 3) z))) t)) (* 2 (/ (pow x 2) z))) t)) (/ x z)) (pow t 2)) |
(/.f64 (+.f64 (/.f64 x z) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 x (/.f64 (*.f64 #s(literal -3 binary64) (/.f64 (*.f64 x (*.f64 x x)) z)) t) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 z t))) (neg.f64 (*.f64 #s(literal -3 binary64) (/.f64 (*.f64 x (*.f64 x x)) z)))) t)) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 x x) z))) t))) (*.f64 t t)) |
(* z (pow (- t x) 2)) |
(*.f64 z (*.f64 (-.f64 t x) (-.f64 t x))) |
(* z (pow (- t x) 2)) |
(*.f64 z (*.f64 (-.f64 t x) (-.f64 t x))) |
(* z (pow (- t x) 2)) |
(*.f64 z (*.f64 (-.f64 t x) (-.f64 t x))) |
(* z (pow (- t x) 2)) |
(*.f64 z (*.f64 (-.f64 t x) (-.f64 t x))) |
(* z (pow (- t x) 2)) |
(*.f64 z (*.f64 (-.f64 t x) (-.f64 t x))) |
(* z (pow (- t x) 2)) |
(*.f64 z (*.f64 (-.f64 t x) (-.f64 t x))) |
(* z (pow (- t x) 2)) |
(*.f64 z (*.f64 (-.f64 t x) (-.f64 t x))) |
(* z (pow (- t x) 2)) |
(*.f64 z (*.f64 (-.f64 t x) (-.f64 t x))) |
(* z (pow (- t x) 2)) |
(*.f64 z (*.f64 (-.f64 t x) (-.f64 t x))) |
(* z (pow (- t x) 2)) |
(*.f64 z (*.f64 (-.f64 t x) (-.f64 t x))) |
(* z (pow (- t x) 2)) |
(*.f64 z (*.f64 (-.f64 t x) (-.f64 t x))) |
(* z (pow (- t x) 2)) |
(*.f64 z (*.f64 (-.f64 t x) (-.f64 t x))) |
(* (pow x 2) z) |
(*.f64 z (*.f64 x x)) |
(+ (* -2 (* t (* x z))) (* (pow x 2) z)) |
(fma.f64 #s(literal -2 binary64) (*.f64 t (*.f64 x z)) (*.f64 z (*.f64 x x))) |
(+ (* t (+ (* -2 (* x z)) (* t z))) (* (pow x 2) z)) |
(fma.f64 z (*.f64 x x) (*.f64 t (fma.f64 z t (*.f64 (*.f64 x #s(literal -2 binary64)) z)))) |
(+ (* t (+ (* -2 (* x z)) (* t z))) (* (pow x 2) z)) |
(fma.f64 z (*.f64 x x) (*.f64 t (fma.f64 z t (*.f64 (*.f64 x #s(literal -2 binary64)) z)))) |
(* (pow t 2) z) |
(*.f64 z (*.f64 t t)) |
(* (pow t 2) (+ z (* -2 (/ (* x z) t)))) |
(*.f64 (*.f64 t t) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 x z) t) z)) |
(* (pow t 2) (+ z (+ (* -2 (/ (* x z) t)) (/ (* (pow x 2) z) (pow t 2))))) |
(*.f64 (*.f64 t t) (+.f64 z (fma.f64 (*.f64 x x) (/.f64 z (*.f64 t t)) (/.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) z) t)))) |
(* (pow t 2) (+ z (+ (* -2 (/ (* x z) t)) (/ (* (pow x 2) z) (pow t 2))))) |
(*.f64 (*.f64 t t) (+.f64 z (fma.f64 (*.f64 x x) (/.f64 z (*.f64 t t)) (/.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) z) t)))) |
(* (pow t 2) z) |
(*.f64 z (*.f64 t t)) |
(* (pow t 2) (+ z (* -2 (/ (* x z) t)))) |
(*.f64 (*.f64 t t) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 x z) t) z)) |
(* (pow t 2) (+ z (* -1 (/ (+ (* -1 (/ (* (pow x 2) z) t)) (* 2 (* x z))) t)))) |
(*.f64 (*.f64 t t) (+.f64 z (neg.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x z) (neg.f64 (/.f64 (*.f64 z (*.f64 x x)) t))) t)))) |
(* (pow t 2) (+ z (* -1 (/ (+ (* -1 (/ (* (pow x 2) z) t)) (* 2 (* x z))) t)))) |
(*.f64 (*.f64 t t) (+.f64 z (neg.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x z) (neg.f64 (/.f64 (*.f64 z (*.f64 x x)) t))) t)))) |
(* (pow t 2) z) |
(*.f64 z (*.f64 t t)) |
(+ (* -2 (* t (* x z))) (* (pow t 2) z)) |
(fma.f64 #s(literal -2 binary64) (*.f64 t (*.f64 x z)) (*.f64 z (*.f64 t t))) |
(+ (* x (+ (* -2 (* t z)) (* x z))) (* (pow t 2) z)) |
(fma.f64 x (fma.f64 x z (*.f64 (*.f64 z t) #s(literal -2 binary64))) (*.f64 z (*.f64 t t))) |
(+ (* x (+ (* -2 (* t z)) (* x z))) (* (pow t 2) z)) |
(fma.f64 x (fma.f64 x z (*.f64 (*.f64 z t) #s(literal -2 binary64))) (*.f64 z (*.f64 t t))) |
(* (pow x 2) z) |
(*.f64 z (*.f64 x x)) |
(* (pow x 2) (+ z (* -2 (/ (* t z) x)))) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 z t) x) z)) |
(* (pow x 2) (+ z (+ (* -2 (/ (* t z) x)) (/ (* (pow t 2) z) (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 z t) x) z) (/.f64 (*.f64 z (*.f64 t t)) (*.f64 x x)))) |
(* (pow x 2) (+ z (+ (* -2 (/ (* t z) x)) (/ (* (pow t 2) z) (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 z t) x) z) (/.f64 (*.f64 z (*.f64 t t)) (*.f64 x x)))) |
(* (pow x 2) z) |
(*.f64 z (*.f64 x x)) |
(* (pow x 2) (+ z (* -2 (/ (* t z) x)))) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 z t) x) z)) |
(* (pow x 2) (+ z (* -1 (/ (+ (* -1 (/ (* (pow t 2) z) x)) (* 2 (* t z))) x)))) |
(*.f64 (*.f64 x x) (+.f64 z (neg.f64 (/.f64 (fma.f64 (*.f64 z t) #s(literal 2 binary64) (neg.f64 (/.f64 (*.f64 z (*.f64 t t)) x))) x)))) |
(* (pow x 2) (+ z (* -1 (/ (+ (* -1 (/ (* (pow t 2) z) x)) (* 2 (* t z))) x)))) |
(*.f64 (*.f64 x x) (+.f64 z (neg.f64 (/.f64 (fma.f64 (*.f64 z t) #s(literal 2 binary64) (neg.f64 (/.f64 (*.f64 z (*.f64 t t)) x))) x)))) |
| 1× | batch-egg-rewrite |
| 4 056× | lower-/.f32 |
| 4 040× | lower-/.f64 |
| 3 856× | lower-*.f32 |
| 3 842× | lower-*.f64 |
| 2 882× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 583 |
| 0 | 94 | 523 |
| 1 | 396 | 469 |
| 2 | 3354 | 459 |
| 0 | 8288 | 451 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) |
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) |
(-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) |
(tanh.f64 (/.f64 t y)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z (-.f64 t x)))) |
#s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z (-.f64 t x))) |
(*.f64 z (-.f64 t x)) |
(-.f64 t x) |
(fma.f64 #s(approx (* z (- (tanh (/ t y)) (tanh (/ x y)))) (/.f64 (*.f64 z (-.f64 t x)) y)) y x) |
#s(approx (* z (- (tanh (/ t y)) (tanh (/ x y)))) (/.f64 (*.f64 z (-.f64 t x)) y)) |
(/.f64 (*.f64 z (-.f64 t x)) y) |
(-.f64 x (*.f64 z (-.f64 t x))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(approx (- (* x x) (* z (* (- t x) (* z (- t x))))) (neg.f64 (*.f64 (*.f64 t t) (*.f64 z z)))) (-.f64 x (*.f64 z (-.f64 t x))))) |
(/.f64 #s(approx (- (* x x) (* z (* (- t x) (* z (- t x))))) (neg.f64 (*.f64 (*.f64 t t) (*.f64 z z)))) (-.f64 x (*.f64 z (-.f64 t x)))) |
#s(approx (- (* x x) (* z (* (- t x) (* z (- t x))))) (neg.f64 (*.f64 (*.f64 t t) (*.f64 z z)))) |
(neg.f64 (/.f64 (-.f64 (/.f64 x (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x)))) (/.f64 #s(literal 1 binary64) (-.f64 t x))) z)) |
(/.f64 (-.f64 (/.f64 x (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x)))) (/.f64 #s(literal 1 binary64) (-.f64 t x))) z) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (neg.f64 (/.f64 (-.f64 (/.f64 x (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x)))) (/.f64 #s(literal 1 binary64) (-.f64 t x))) z))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (neg.f64 (/.f64 (-.f64 (/.f64 x (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x)))) (/.f64 #s(literal 1 binary64) (-.f64 t x))) z)))) |
#s(approx (tanh (/ x y)) (/.f64 x y)) |
(*.f64 (*.f64 t t) (*.f64 z z)) |
#s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (neg.f64 (/.f64 (-.f64 (/.f64 x (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x)))) (/.f64 #s(literal 1 binary64) (-.f64 t x))) z))) |
(/.f64 x (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x)))) |
(*.f64 z (*.f64 (-.f64 t x) (-.f64 t x))) |
| Outputs |
|---|
(+.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z))) |
(+.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) x) |
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) (neg.f64 x)))) |
(fma.f64 y (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) z) x) |
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x) |
(fma.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) z x) |
(fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) x) |
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) x) |
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) z) y x) |
(fma.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) y x) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z))) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64))) (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z))) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64))) (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x x))))) |
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z))) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 (*.f64 y z) x))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) (neg.f64 x))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z))) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 (*.f64 y z) x)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) (neg.f64 x)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64))) (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z))) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) (neg.f64 x))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z))))) |
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z))) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64))) (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x x))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z))) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) (neg.f64 x)))) |
(+.f64 (*.f64 y (tanh.f64 (/.f64 t y))) (*.f64 y (neg.f64 #s(approx (tanh (/ x y)) (/.f64 x y))))) |
(+.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) (*.f64 (neg.f64 #s(approx (tanh (/ x y)) (/.f64 x y))) y)) |
(fma.f64 y (tanh.f64 (/.f64 t y)) (*.f64 y (neg.f64 #s(approx (tanh (/ x y)) (/.f64 x y))))) |
(fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 #s(approx (tanh (/ x y)) (/.f64 x y))) y)) |
(/.f64 (*.f64 y (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (*.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (*.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(approx (tanh (/ x y)) (/.f64 x y)))))) (fma.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 y (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (*.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) (+.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (*.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (*.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) y) (fma.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (*.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) y) (+.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) |
(/.f64 (neg.f64 (*.f64 y (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (*.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (*.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(approx (tanh (/ x y)) (/.f64 x y))))))) (neg.f64 (fma.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 y (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (*.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(approx (tanh (/ x y)) (/.f64 x y)))))) (neg.f64 (+.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (*.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (*.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) y)) (neg.f64 (fma.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (*.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) y)) (neg.f64 (+.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) |
(*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) |
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) |
(+.f64 (tanh.f64 (/.f64 t y)) (neg.f64 #s(approx (tanh (/ x y)) (/.f64 x y)))) |
(+.f64 (neg.f64 #s(approx (tanh (/ x y)) (/.f64 x y))) (tanh.f64 (/.f64 t y))) |
(-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) |
(-.f64 (/.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (fma.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)))) (/.f64 (*.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (*.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) (fma.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (+.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) (/.f64 (*.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (+.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) |
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))) (neg.f64 #s(approx (tanh (/ x y)) (/.f64 x y)))) |
(fma.f64 (expm1.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64))))) (neg.f64 #s(approx (tanh (/ x y)) (/.f64 x y)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal -2 binary64))))) (neg.f64 #s(approx (tanh (/ x y)) (/.f64 x y)))) |
(fma.f64 #s(literal -1 binary64) #s(approx (tanh (/ x y)) (/.f64 x y)) (tanh.f64 (/.f64 t y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64))) (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (*.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (*.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(approx (tanh (/ x y)) (/.f64 x y))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (*.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(approx (tanh (/ x y)) (/.f64 x y)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64))) (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (*.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (*.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(approx (tanh (/ x y)) (/.f64 x y)))))))) |
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(/.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (*.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (*.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) (fma.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)))) |
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#s(approx (tanh (/ x y)) (/.f64 x y)) |
(exp.f64 (*.f64 (log.f64 (*.f64 t z)) #s(literal 2 binary64))) |
(exp.f64 (fma.f64 (log.f64 t) #s(literal 2 binary64) (*.f64 (log.f64 z) #s(literal 2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 z) #s(literal 2 binary64) (*.f64 (log.f64 t) #s(literal 2 binary64)))) |
(pow.f64 (*.f64 t z) #s(literal 2 binary64)) |
(*.f64 t (*.f64 t (*.f64 z z))) |
(*.f64 t (*.f64 z (*.f64 t z))) |
(*.f64 z (*.f64 t (*.f64 t z))) |
(*.f64 (*.f64 t t) (*.f64 z z)) |
(*.f64 (*.f64 z z) (*.f64 t t)) |
(*.f64 (*.f64 t z) (*.f64 t z)) |
(*.f64 (*.f64 t (*.f64 t z)) z) |
(*.f64 (*.f64 t (*.f64 z z)) t) |
(*.f64 (*.f64 (*.f64 t z) t) z) |
(exp.f64 (neg.f64 (*.f64 (log.f64 #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (/.f64 (/.f64 (-.f64 (/.f64 x (*.f64 z (-.f64 t x))) #s(literal 1 binary64)) (-.f64 t x)) (neg.f64 z)))) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (/.f64 (/.f64 (-.f64 (/.f64 x (*.f64 z (-.f64 t x))) #s(literal 1 binary64)) (-.f64 t x)) (neg.f64 z))))) |
(/.f64 #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (/.f64 (/.f64 (-.f64 (/.f64 x (*.f64 z (-.f64 t x))) #s(literal 1 binary64)) (-.f64 t x)) (neg.f64 z))) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (/.f64 (/.f64 (-.f64 (/.f64 x (*.f64 z (-.f64 t x))) #s(literal 1 binary64)) (-.f64 t x)) (neg.f64 z)))))) |
(/.f64 (neg.f64 #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (/.f64 (/.f64 (-.f64 (/.f64 x (*.f64 z (-.f64 t x))) #s(literal 1 binary64)) (-.f64 t x)) (neg.f64 z)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (/.f64 (/.f64 (-.f64 (/.f64 x (*.f64 z (-.f64 t x))) #s(literal 1 binary64)) (-.f64 t x)) (neg.f64 z))))) #s(literal 1 binary64)) |
#s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (/.f64 (/.f64 (-.f64 (/.f64 x (*.f64 z (-.f64 t x))) #s(literal 1 binary64)) (-.f64 t x)) (neg.f64 z))) |
(pow.f64 #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (/.f64 (/.f64 (-.f64 (/.f64 x (*.f64 z (-.f64 t x))) #s(literal 1 binary64)) (-.f64 t x)) (neg.f64 z))) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (/.f64 (/.f64 (-.f64 (/.f64 x (*.f64 z (-.f64 t x))) #s(literal 1 binary64)) (-.f64 t x)) (neg.f64 z)))) #s(literal -1 binary64)) |
(*.f64 #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (/.f64 (/.f64 (-.f64 (/.f64 x (*.f64 z (-.f64 t x))) #s(literal 1 binary64)) (-.f64 t x)) (neg.f64 z))) #s(literal 1 binary64)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x))) x)) #s(literal -1 binary64))) |
(neg.f64 (/.f64 x (neg.f64 (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x)))))) |
(neg.f64 (/.f64 (neg.f64 x) (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x))))) |
(/.f64 x (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x))) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x))) x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 t x) (-.f64 t x)) (/.f64 x z))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x))) x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x))) x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x))) x) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 t x) (-.f64 t x)) (/.f64 x z)))) |
(/.f64 (neg.f64 x) (neg.f64 (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x))))) |
(/.f64 (/.f64 x z) (*.f64 (-.f64 t x) (-.f64 t x))) |
(/.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x)))) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x)))))) |
(/.f64 (neg.f64 (/.f64 x z)) (neg.f64 (*.f64 (-.f64 t x) (-.f64 t x)))) |
(/.f64 (/.f64 x (-.f64 t x)) (*.f64 z (-.f64 t x))) |
(/.f64 (/.f64 x (*.f64 z (-.f64 t x))) (-.f64 t x)) |
(/.f64 (/.f64 x (*.f64 (-.f64 t x) (-.f64 t x))) z) |
(/.f64 (/.f64 (/.f64 x z) (-.f64 t x)) (-.f64 t x)) |
(/.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (neg.f64 (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x))))))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 x z))) (neg.f64 (neg.f64 (*.f64 (-.f64 t x) (-.f64 t x))))) |
(/.f64 (neg.f64 (/.f64 x (-.f64 t x))) (neg.f64 (*.f64 z (-.f64 t x)))) |
(/.f64 (neg.f64 (/.f64 x (*.f64 z (-.f64 t x)))) (neg.f64 (-.f64 t x))) |
(/.f64 (neg.f64 (/.f64 x (*.f64 (-.f64 t x) (-.f64 t x)))) (neg.f64 z)) |
(/.f64 (neg.f64 (/.f64 (/.f64 x z) (-.f64 t x))) (neg.f64 (-.f64 t x))) |
(pow.f64 (/.f64 (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x))) x) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x))) x) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (-.f64 t x) (-.f64 t x)) (/.f64 x z)) #s(literal -1 binary64)) |
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x))))) |
(*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 t x)) (pow.f64 (/.f64 (*.f64 z (-.f64 t x)) x) #s(literal -1 binary64))) |
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 t x))) (pow.f64 (/.f64 (-.f64 t x) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 t x) (-.f64 t x))) (/.f64 x z)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x)))) x) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x)))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 (*.f64 (-.f64 t x) (-.f64 t x)) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 t x) (-.f64 t x)))) |
(+.f64 (*.f64 (*.f64 z (-.f64 t x)) t) (*.f64 (*.f64 z (-.f64 t x)) (neg.f64 x))) |
(+.f64 (*.f64 t (*.f64 z (-.f64 t x))) (*.f64 (neg.f64 x) (*.f64 z (-.f64 t x)))) |
(fma.f64 t (*.f64 z (-.f64 t x)) (*.f64 (neg.f64 x) (*.f64 z (-.f64 t x)))) |
(fma.f64 (*.f64 z (-.f64 t x)) t (*.f64 (*.f64 z (-.f64 t x)) (neg.f64 x))) |
(/.f64 (*.f64 (*.f64 z (-.f64 t x)) (*.f64 (fma.f64 x (+.f64 t x) (*.f64 t t)) (-.f64 t x))) (fma.f64 x (+.f64 t x) (*.f64 t t))) |
(/.f64 (*.f64 (*.f64 z (-.f64 t x)) (*.f64 (+.f64 t x) (-.f64 t x))) (+.f64 t x)) |
(/.f64 (*.f64 (*.f64 (fma.f64 x (+.f64 t x) (*.f64 t t)) (-.f64 t x)) (*.f64 z (-.f64 t x))) (fma.f64 x (+.f64 t x) (*.f64 t t))) |
(/.f64 (*.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 z (-.f64 t x))) (+.f64 t x)) |
(/.f64 (neg.f64 (*.f64 (*.f64 z (-.f64 t x)) (*.f64 (fma.f64 x (+.f64 t x) (*.f64 t t)) (-.f64 t x)))) (neg.f64 (fma.f64 x (+.f64 t x) (*.f64 t t)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 z (-.f64 t x)) (*.f64 (+.f64 t x) (-.f64 t x)))) (neg.f64 (+.f64 t x))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 x (+.f64 t x) (*.f64 t t)) (-.f64 t x)) (*.f64 z (-.f64 t x)))) (neg.f64 (fma.f64 x (+.f64 t x) (*.f64 t t)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 z (-.f64 t x)))) (neg.f64 (+.f64 t x))) |
(*.f64 z (*.f64 (-.f64 t x) (-.f64 t x))) |
(*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))) |
(*.f64 (-.f64 t x) (*.f64 (*.f64 z (-.f64 t x)) #s(literal 1 binary64))) |
(*.f64 (*.f64 z (-.f64 t x)) (-.f64 t x)) |
(*.f64 (*.f64 (-.f64 t x) (-.f64 t x)) z) |
(*.f64 (*.f64 (-.f64 t x) (-.f64 t x)) (*.f64 z #s(literal 1 binary64))) |
(*.f64 (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x)))) |
Compiled 73 889 to 5 081 computations (93.1% saved)
39 alts after pruning (34 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 716 | 20 | 1 736 |
| Fresh | 8 | 14 | 22 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 727 | 39 | 1 766 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 98.1% | (fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) z (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) z)) y x) |
| ✓ | 70.6% | (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) |
| 51.9% | (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x) | |
| ✓ | 98.0% | (fma.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y x) |
| 62.0% | (fma.f64 (*.f64 z (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y x) | |
| 31.6% | (fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (/.f64 #s(literal 1 binary64) y)) (+.f64 t x))) x) | |
| 47.7% | (fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))) x) | |
| 50.0% | (fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) x) | |
| 44.3% | (fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 x (-.f64 (/.f64 t (*.f64 x y)) (/.f64 #s(literal 1 binary64) y))))) x) | |
| 42.2% | (fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (neg.f64 (/.f64 x y)))) x) | |
| 48.0% | (fma.f64 #s(approx (* z (- (tanh (/ t y)) (tanh (/ x y)))) (/.f64 (*.f64 z #s(approx (- t x) (neg.f64 x))) y)) y x) | |
| 56.6% | (fma.f64 #s(approx (* z (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (-.f64 t x) (/.f64 z y))) y x) | |
| 23.9% | (/.f64 (-.f64 (*.f64 (*.f64 z y) (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))) (*.f64 x x)) (-.f64 (*.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) x)) | |
| 51.1% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (neg.f64 x)) x)) | |
| 20.5% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (*.f64 x x) #s(approx (* z (* (- t x) (* z (- t x)))) (fma.f64 (*.f64 x x) (*.f64 z z) (*.f64 (*.f64 #s(literal -2 binary64) t) (*.f64 x (*.f64 z z)))))) (-.f64 x (*.f64 z (-.f64 t x))))) | |
| 21.3% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(approx (- (* x x) (* z (* (- t x) (* z (- t x))))) (*.f64 (*.f64 x x) (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 t (*.f64 z z)) x) #s(literal 1 binary64)) (*.f64 z z)))) (-.f64 x (*.f64 z (-.f64 t x))))) | |
| 6.8% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(approx (- (* x x) (* z (* (- t x) (* z (- t x))))) (neg.f64 (*.f64 (*.f64 t t) (*.f64 z z)))) #s(approx (- x (* z (- t x))) (*.f64 (neg.f64 t) z)))) | |
| 30.0% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x (*.f64 z (-.f64 t x))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z (-.f64 t x) x) (-.f64 x (*.f64 z (-.f64 t x)))))))) | |
| 56.5% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (/.f64 #s(literal 1 binary64) x)))) | |
| 28.2% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (/.f64 #s(literal -1 binary64) (/.f64 z (/.f64 (-.f64 (/.f64 x (*.f64 z (-.f64 t x))) #s(literal 1 binary64)) (-.f64 t x))))))) | |
| 28.2% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (*.f64 (/.f64 (-.f64 (/.f64 x (*.f64 z (-.f64 t x))) #s(literal 1 binary64)) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (neg.f64 z)))))) | |
| 20.9% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (neg.f64 (/.f64 (-.f64 (/.f64 x (*.f64 z (*.f64 (-.f64 t x) #s(approx (- t x) (neg.f64 x))))) (/.f64 #s(literal 1 binary64) (-.f64 t x))) z))))) | |
| 20.8% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (neg.f64 (/.f64 (-.f64 (/.f64 x #s(approx (* z (* (- t x) (- t x))) (fma.f64 #s(literal -2 binary64) (*.f64 t (*.f64 x z)) (*.f64 z (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 t x))) z))))) | |
| 18.0% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (neg.f64 (/.f64 (-.f64 (/.f64 x #s(approx (* z (* (- t x) (- t x))) (*.f64 z (*.f64 t t)))) (/.f64 #s(literal 1 binary64) (-.f64 t x))) z))))) | |
| 11.4% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (neg.f64 (/.f64 (-.f64 #s(approx (/ x (* z (* (- t x) (- t x)))) (fma.f64 #s(literal 2 binary64) (/.f64 t (*.f64 z (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x z)))) (/.f64 #s(literal 1 binary64) (-.f64 t x))) z))))) | |
| 17.2% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (neg.f64 (/.f64 (-.f64 #s(approx (/ x (* z (* (- t x) (- t x)))) (/.f64 (+.f64 (/.f64 x z) (neg.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 z t)) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 x x) z))) t))) (*.f64 t t))) (/.f64 #s(literal 1 binary64) (-.f64 t x))) z))))) | |
| 16.3% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (neg.f64 (/.f64 (-.f64 #s(approx (/ x (* z (* (- t x) (- t x)))) (/.f64 #s(literal 1 binary64) (*.f64 x z))) (/.f64 #s(literal 1 binary64) (-.f64 t x))) z))))) | |
| 13.0% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (neg.f64 (/.f64 (-.f64 #s(approx (/ x (* z (* (- t x) (- t x)))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 t t) (*.f64 x z)) #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 t z))) x)) (/.f64 #s(literal 1 binary64) z)) x))) (/.f64 #s(literal 1 binary64) (-.f64 t x))) z))))) | |
| 6.6% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (neg.f64 #s(approx (/ (- (/ x (* z (* (- t x) (- t x)))) (/ 1 (- t x))) z) (fma.f64 t (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 z z))) (fma.f64 t (+.f64 (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 x x))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z z)))))))))) | |
| 11.3% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (neg.f64 #s(approx (/ (- (/ x (* z (* (- t x) (- t x)))) (/ 1 (- t x))) z) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) (*.f64 x z))))))) | |
| 17.5% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (neg.f64 #s(approx (/ (- (/ x (* z (* (- t x) (- t x)))) (/ 1 (- t x))) z) (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 (/.f64 (+.f64 (/.f64 (neg.f64 (*.f64 x x)) (*.f64 z t)) (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 x x) (*.f64 t (*.f64 z z))) (/.f64 x (*.f64 z z))) (/.f64 x z))) t))) t))))))) | |
| 17.9% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) #s(approx (neg (/ (- (/ x (* z (* (- t x) (- t x)))) (/ 1 (- t x))) z)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 x x) (*.f64 z z)) (/.f64 (neg.f64 (*.f64 x x)) z)) t)) (-.f64 (/.f64 x z) (/.f64 x (*.f64 z z)))) t)) (/.f64 #s(literal 1 binary64) z)) t)))))) | |
| 11.4% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) #s(approx (neg (/ (- (/ x (* z (* (- t x) (- t x)))) (/ 1 (- t x))) z)) (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 z z))) x)))))) | |
| 11.3% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 (*.f64 (*.f64 (fma.f64 x (+.f64 t x) (*.f64 t t)) (-.f64 t x)) z) (fma.f64 x (+.f64 t x) (*.f64 t t))))) | |
| 28.6% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 t x)))))) | |
| ✓ | 28.7% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z (-.f64 t x)))) |
| 11.6% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z #s(approx (- t x) (neg.f64 x))))) | |
| 43.9% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ 1 (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x))))))) (neg.f64 (/.f64 (*.f64 x (fma.f64 z (*.f64 z z) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 z z z)))))) | |
| ✓ | 20.2% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) |
Compiled 2 739 to 914 computations (66.6% saved)
| Inputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z #s(approx (- t x) (neg.f64 x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (neg.f64 x)) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 z (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (/.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) 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 #s(approx (* z (- (tanh (/ t y)) (tanh (/ x y)))) (/.f64 (*.f64 z #s(approx (- t x) (neg.f64 x))) y)) y x) |
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (neg.f64 (/.f64 x y)))) x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (fma.f64 x (-.f64 (*.f64 t (/.f64 z x)) z) x))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (fma.f64 t (/.f64 x (neg.f64 t)) t)) x)) |
(fma.f64 #s(approx (* z (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (-.f64 t x) (/.f64 z y))) y x) |
(fma.f64 #s(approx (* z (- (tanh (/ t y)) (tanh (/ x y)))) (/.f64 (*.f64 z (-.f64 t x)) y)) y x) |
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(approx (- (* x x) (* z (* (- t x) (* z (- t x))))) (*.f64 x x)) (-.f64 x (*.f64 z (-.f64 t x))))) |
(+.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 (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 t x)))))) |
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))) x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (neg.f64 (/.f64 (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x))) (-.f64 x t))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(approx (- (* x x) (* z (* (- t x) (* z (- t x))))) (neg.f64 (*.f64 (*.f64 t t) (*.f64 z z)))) #s(approx (- x (* z (- t x))) (*.f64 (neg.f64 t) z)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) (+ (* (* 1/2 (- (+ (* t (* (* t t) 1/3)) (* x (* x x))) (+ (* t (* t t)) (* 1/3 (* x (* x x)))))) (/ z (* y y))) x)) (/.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) z) (*.f64 y y)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 t x))) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ 1 (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x))))))) (neg.f64 (/.f64 (*.f64 x (fma.f64 z (*.f64 z z) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 z z z)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(approx (- (* x x) (* z (* (- t x) (* z (- t x))))) (neg.f64 (*.f64 (*.f64 t t) (*.f64 z z)))) (-.f64 x (*.f64 z (-.f64 t x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (neg.f64 #s(approx (/ (- (/ x (* z (* (- t x) (- t x)))) (/ 1 (- t x))) z) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) (*.f64 x z))))))) |
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 x (-.f64 (/.f64 t (*.f64 x y)) (/.f64 #s(literal 1 binary64) y))))) x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 x (+.f64 (/.f64 t (*.f64 x y)) (/.f64 #s(literal -1 binary64) y))))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) (-.f64 x (*.f64 z (-.f64 t x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 (*.f64 (*.f64 (fma.f64 x (+.f64 t x) (*.f64 t t)) (-.f64 t x)) z) (fma.f64 x (+.f64 t x) (*.f64 t t))))) |
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (/.f64 #s(literal 1 binary64) y)) (+.f64 t x))) x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) #s(approx (neg (/ (- (/ x (* z (* (- t x) (- t x)))) (/ 1 (- t x))) z)) (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 z z))) x)))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (/.f64 #s(literal 1 binary64) y)) (+.f64 t x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (neg.f64 (/.f64 (-.f64 #s(approx (/ x (* z (* (- t x) (- t x)))) (/.f64 #s(literal 1 binary64) (*.f64 x z))) (/.f64 #s(literal 1 binary64) (-.f64 t x))) z))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (neg.f64 (/.f64 (-.f64 (/.f64 x #s(approx (* z (* (- t x) (- t x))) (*.f64 z (*.f64 t t)))) (/.f64 #s(literal 1 binary64) (-.f64 t x))) z))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) #s(approx (+ (* (* 1/2 (- (+ (* t (* (* t t) 1/3)) (* x (* x x))) (+ (* t (* t t)) (* 1/3 (* x (* x x)))))) (/ z (* y y))) x) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (/.f64 z (*.f64 y y)) #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x (*.f64 z (-.f64 t x))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z (-.f64 t x) x) (-.f64 x (*.f64 z (-.f64 t x)))))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)))) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (*.f64 (/.f64 (-.f64 (/.f64 x (*.f64 z (-.f64 t x))) #s(literal 1 binary64)) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (neg.f64 z)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (*.f64 x x) #s(approx (* z (* (- t x) (* z (- t x)))) (fma.f64 (*.f64 x x) (*.f64 z z) (*.f64 (*.f64 #s(literal -2 binary64) t) (*.f64 x (*.f64 z z)))))) (-.f64 x (*.f64 z (-.f64 t x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (neg.f64 (/.f64 (-.f64 (/.f64 x (*.f64 z (*.f64 (-.f64 t x) #s(approx (- t x) (neg.f64 x))))) (/.f64 #s(literal 1 binary64) (-.f64 t x))) z))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(approx (- (* x x) (* z (* (- t x) (* z (- t x))))) (*.f64 (*.f64 x x) (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 t (*.f64 z z)) x) #s(literal 1 binary64)) (*.f64 z z)))) (-.f64 x (*.f64 z (-.f64 t x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (neg.f64 (/.f64 (-.f64 (/.f64 x (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x)))) (/.f64 #s(literal 1 binary64) (-.f64 t x))) z))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (/.f64 #s(literal -1 binary64) (/.f64 z (/.f64 (-.f64 (/.f64 x (*.f64 z (-.f64 t x))) #s(literal 1 binary64)) (-.f64 t x))))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) (+ (* (* 1/2 (- (+ (* t (* (* t t) 1/3)) (* x (* x x))) (+ (* t (* t t)) (* 1/3 (* x (* x x)))))) (/ z (* y y))) x)) (*.f64 (*.f64 x (*.f64 x x)) (-.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 z (*.f64 x x)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (neg.f64 (/.f64 (-.f64 (/.f64 x #s(approx (* z (* (- t x) (- t x))) (fma.f64 #s(literal -2 binary64) (*.f64 t (*.f64 x z)) (*.f64 z (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 t x))) z))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (/.f64 (-.f64 (+.f64 (neg.f64 (/.f64 x (*.f64 t (*.f64 z z)))) (/.f64 #s(literal 1 binary64) z)) (neg.f64 (/.f64 x (*.f64 z t)))) t)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (*.f64 (*.f64 t t) (*.f64 z z))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (-.f64 t x) (*.f64 (-.f64 t x) (-.f64 t x)))))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (neg.f64 (/.f64 (-.f64 #s(approx (/ x (* z (* (- t x) (- t x)))) (fma.f64 #s(literal 2 binary64) (/.f64 t (*.f64 z (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x z)))) (/.f64 #s(literal 1 binary64) (-.f64 t x))) z))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (-.f64 (fma.f64 z (-.f64 t x) x) (/.f64 (fma.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)))) (/.f64 z y) #s(literal 0 binary64)) y))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))))) (/.f64 z (*.f64 y y)) x))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (-.f64 t x) (*.f64 (-.f64 t x) (-.f64 t x))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 z (-.f64 t x))) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 z y) (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))) (*.f64 x x)) (-.f64 (*.f64 (*.f64 z y) #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 (/.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)))) y) y) (-.f64 x t)) (neg.f64 y))))) |
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 (/.f64 t y) (/.f64 t y)) (*.f64 (/.f64 x y) (/.f64 x y))) (+.f64 (/.f64 t y) (/.f64 x y)))) x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 z (-.f64 t x))) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (-.f64 t x) (*.f64 (-.f64 t x) (-.f64 t x)))))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 z (-.f64 t x)) (*.f64 z (-.f64 t x)) (*.f64 x (-.f64 x (*.f64 z (-.f64 t x))))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (-.f64 t x) (*.f64 (-.f64 t x) (-.f64 t x)))))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 (/.f64 t y) (/.f64 t y)) (*.f64 (/.f64 x y) (/.f64 x y))) (+.f64 (/.f64 t y) (/.f64 x y)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (neg.f64 (/.f64 (-.f64 #s(approx (/ x (* z (* (- t x) (- t x)))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 t t) (*.f64 x z)) #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 t z))) x)) (/.f64 #s(literal 1 binary64) z)) x))) (/.f64 #s(literal 1 binary64) (-.f64 t x))) z))))) |
(fma.f64 (*.f64 z (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y x) |
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (neg.f64 (/.f64 (-.f64 #s(approx (/ x (* z (* (- t x) (- t x)))) (/.f64 (+.f64 (/.f64 x z) (neg.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 z t)) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 x x) z))) t))) (*.f64 t t))) (/.f64 #s(literal 1 binary64) (-.f64 t x))) z))))) |
(+.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))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (neg.f64 #s(approx (/ (- (/ x (* z (* (- t x) (- t x)))) (/ 1 (- t x))) z) (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 (/.f64 (+.f64 (/.f64 (neg.f64 (*.f64 x x)) (*.f64 z t)) (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 x x) (*.f64 t (*.f64 z z))) (/.f64 x (*.f64 z z))) (/.f64 x z))) t))) t))))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) #s(approx (neg (/ (- (/ x (* z (* (- t x) (- t x)))) (/ 1 (- t x))) z)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 x x) (*.f64 z z)) (/.f64 (neg.f64 (*.f64 x x)) z)) t)) (-.f64 (/.f64 x z) (/.f64 x (*.f64 z z)))) t)) (/.f64 #s(literal 1 binary64) z)) t)))))) |
(fma.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (*.f64 x (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) y)))))) y x) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y)) x) y)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (neg.f64 #s(approx (/ (- (/ x (* z (* (- t x) (- t x)))) (/ 1 (- t x))) z) (fma.f64 t (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 z z))) (fma.f64 t (+.f64 (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 x x))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z z)))))))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (/.f64 (+.f64 (neg.f64 (/.f64 x (*.f64 t (*.f64 z z)))) (-.f64 (fma.f64 x (/.f64 (-.f64 x (*.f64 (neg.f64 x) z)) (*.f64 (*.f64 t t) (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) z)) (+.f64 (neg.f64 (/.f64 x (*.f64 z t))) (fma.f64 (*.f64 x #s(literal -3 binary64)) (/.f64 (-.f64 (neg.f64 (/.f64 x (*.f64 z z))) (/.f64 (neg.f64 x) z)) (*.f64 t t)) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 z (*.f64 t t))))))) t)))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 t x))) #s(literal -1 binary64)))))) |
(fma.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y x) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) z (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) z)) y x) |
(+.f64 x (/.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)) (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))))) |
| Outputs |
|---|
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) z (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) z)) y x) |
5 calls:
| 40.0ms | y |
| 24.0ms | t |
| 22.0ms | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 22.0ms | z |
| 21.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.1% | 1 | x |
| 98.1% | 1 | y |
| 98.1% | 1 | z |
| 98.1% | 1 | t |
| 98.1% | 1 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
Compiled 39 to 28 computations (28.2% saved)
| Inputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z #s(approx (- t x) (neg.f64 x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (neg.f64 x)) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 z (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (/.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) 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 #s(approx (* z (- (tanh (/ t y)) (tanh (/ x y)))) (/.f64 (*.f64 z #s(approx (- t x) (neg.f64 x))) y)) y x) |
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (neg.f64 (/.f64 x y)))) x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (fma.f64 x (-.f64 (*.f64 t (/.f64 z x)) z) x))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (fma.f64 t (/.f64 x (neg.f64 t)) t)) x)) |
(fma.f64 #s(approx (* z (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (-.f64 t x) (/.f64 z y))) y x) |
(fma.f64 #s(approx (* z (- (tanh (/ t y)) (tanh (/ x y)))) (/.f64 (*.f64 z (-.f64 t x)) y)) y x) |
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(approx (- (* x x) (* z (* (- t x) (* z (- t x))))) (*.f64 x x)) (-.f64 x (*.f64 z (-.f64 t x))))) |
(+.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 (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 t x)))))) |
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))) x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (neg.f64 (/.f64 (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x))) (-.f64 x t))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(approx (- (* x x) (* z (* (- t x) (* z (- t x))))) (neg.f64 (*.f64 (*.f64 t t) (*.f64 z z)))) #s(approx (- x (* z (- t x))) (*.f64 (neg.f64 t) z)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) (+ (* (* 1/2 (- (+ (* t (* (* t t) 1/3)) (* x (* x x))) (+ (* t (* t t)) (* 1/3 (* x (* x x)))))) (/ z (* y y))) x)) (/.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) z) (*.f64 y y)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 t x))) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ 1 (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x))))))) (neg.f64 (/.f64 (*.f64 x (fma.f64 z (*.f64 z z) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 z z z)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(approx (- (* x x) (* z (* (- t x) (* z (- t x))))) (neg.f64 (*.f64 (*.f64 t t) (*.f64 z z)))) (-.f64 x (*.f64 z (-.f64 t x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (neg.f64 #s(approx (/ (- (/ x (* z (* (- t x) (- t x)))) (/ 1 (- t x))) z) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) (*.f64 x z))))))) |
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 x (-.f64 (/.f64 t (*.f64 x y)) (/.f64 #s(literal 1 binary64) y))))) x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 x (+.f64 (/.f64 t (*.f64 x y)) (/.f64 #s(literal -1 binary64) y))))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) (-.f64 x (*.f64 z (-.f64 t x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 (*.f64 (*.f64 (fma.f64 x (+.f64 t x) (*.f64 t t)) (-.f64 t x)) z) (fma.f64 x (+.f64 t x) (*.f64 t t))))) |
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (/.f64 #s(literal 1 binary64) y)) (+.f64 t x))) x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) #s(approx (neg (/ (- (/ x (* z (* (- t x) (- t x)))) (/ 1 (- t x))) z)) (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 z z))) x)))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (/.f64 #s(literal 1 binary64) y)) (+.f64 t x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (neg.f64 (/.f64 (-.f64 #s(approx (/ x (* z (* (- t x) (- t x)))) (/.f64 #s(literal 1 binary64) (*.f64 x z))) (/.f64 #s(literal 1 binary64) (-.f64 t x))) z))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (neg.f64 (/.f64 (-.f64 (/.f64 x #s(approx (* z (* (- t x) (- t x))) (*.f64 z (*.f64 t t)))) (/.f64 #s(literal 1 binary64) (-.f64 t x))) z))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) #s(approx (+ (* (* 1/2 (- (+ (* t (* (* t t) 1/3)) (* x (* x x))) (+ (* t (* t t)) (* 1/3 (* x (* x x)))))) (/ z (* y y))) x) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (/.f64 z (*.f64 y y)) #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x (*.f64 z (-.f64 t x))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z (-.f64 t x) x) (-.f64 x (*.f64 z (-.f64 t x)))))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)))) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (*.f64 (/.f64 (-.f64 (/.f64 x (*.f64 z (-.f64 t x))) #s(literal 1 binary64)) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (neg.f64 z)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (*.f64 x x) #s(approx (* z (* (- t x) (* z (- t x)))) (fma.f64 (*.f64 x x) (*.f64 z z) (*.f64 (*.f64 #s(literal -2 binary64) t) (*.f64 x (*.f64 z z)))))) (-.f64 x (*.f64 z (-.f64 t x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (neg.f64 (/.f64 (-.f64 (/.f64 x (*.f64 z (*.f64 (-.f64 t x) #s(approx (- t x) (neg.f64 x))))) (/.f64 #s(literal 1 binary64) (-.f64 t x))) z))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(approx (- (* x x) (* z (* (- t x) (* z (- t x))))) (*.f64 (*.f64 x x) (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 t (*.f64 z z)) x) #s(literal 1 binary64)) (*.f64 z z)))) (-.f64 x (*.f64 z (-.f64 t x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (neg.f64 (/.f64 (-.f64 (/.f64 x (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x)))) (/.f64 #s(literal 1 binary64) (-.f64 t x))) z))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (/.f64 #s(literal -1 binary64) (/.f64 z (/.f64 (-.f64 (/.f64 x (*.f64 z (-.f64 t x))) #s(literal 1 binary64)) (-.f64 t x))))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) (+ (* (* 1/2 (- (+ (* t (* (* t t) 1/3)) (* x (* x x))) (+ (* t (* t t)) (* 1/3 (* x (* x x)))))) (/ z (* y y))) x)) (*.f64 (*.f64 x (*.f64 x x)) (-.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 z (*.f64 x x)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (neg.f64 (/.f64 (-.f64 (/.f64 x #s(approx (* z (* (- t x) (- t x))) (fma.f64 #s(literal -2 binary64) (*.f64 t (*.f64 x z)) (*.f64 z (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 t x))) z))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (/.f64 (-.f64 (+.f64 (neg.f64 (/.f64 x (*.f64 t (*.f64 z z)))) (/.f64 #s(literal 1 binary64) z)) (neg.f64 (/.f64 x (*.f64 z t)))) t)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (*.f64 (*.f64 t t) (*.f64 z z))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (-.f64 t x) (*.f64 (-.f64 t x) (-.f64 t x)))))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (neg.f64 (/.f64 (-.f64 #s(approx (/ x (* z (* (- t x) (- t x)))) (fma.f64 #s(literal 2 binary64) (/.f64 t (*.f64 z (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x z)))) (/.f64 #s(literal 1 binary64) (-.f64 t x))) z))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (-.f64 (fma.f64 z (-.f64 t x) x) (/.f64 (fma.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)))) (/.f64 z y) #s(literal 0 binary64)) y))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))))) (/.f64 z (*.f64 y y)) x))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (-.f64 t x) (*.f64 (-.f64 t x) (-.f64 t x))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 z (-.f64 t x))) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 z y) (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))) (*.f64 x x)) (-.f64 (*.f64 (*.f64 z y) #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 (/.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)))) y) y) (-.f64 x t)) (neg.f64 y))))) |
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 (/.f64 t y) (/.f64 t y)) (*.f64 (/.f64 x y) (/.f64 x y))) (+.f64 (/.f64 t y) (/.f64 x y)))) x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 z (-.f64 t x))) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (-.f64 t x) (*.f64 (-.f64 t x) (-.f64 t x)))))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 z (-.f64 t x)) (*.f64 z (-.f64 t x)) (*.f64 x (-.f64 x (*.f64 z (-.f64 t x))))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (-.f64 t x) (*.f64 (-.f64 t x) (-.f64 t x)))))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 (/.f64 t y) (/.f64 t y)) (*.f64 (/.f64 x y) (/.f64 x y))) (+.f64 (/.f64 t y) (/.f64 x y)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (neg.f64 (/.f64 (-.f64 #s(approx (/ x (* z (* (- t x) (- t x)))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 t t) (*.f64 x z)) #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 t z))) x)) (/.f64 #s(literal 1 binary64) z)) x))) (/.f64 #s(literal 1 binary64) (-.f64 t x))) z))))) |
(fma.f64 (*.f64 z (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y x) |
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (neg.f64 (/.f64 (-.f64 #s(approx (/ x (* z (* (- t x) (- t x)))) (/.f64 (+.f64 (/.f64 x z) (neg.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 z t)) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 x x) z))) t))) (*.f64 t t))) (/.f64 #s(literal 1 binary64) (-.f64 t x))) z))))) |
(+.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))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (neg.f64 #s(approx (/ (- (/ x (* z (* (- t x) (- t x)))) (/ 1 (- t x))) z) (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 (/.f64 (+.f64 (/.f64 (neg.f64 (*.f64 x x)) (*.f64 z t)) (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 x x) (*.f64 t (*.f64 z z))) (/.f64 x (*.f64 z z))) (/.f64 x z))) t))) t))))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) #s(approx (neg (/ (- (/ x (* z (* (- t x) (- t x)))) (/ 1 (- t x))) z)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 x x) (*.f64 z z)) (/.f64 (neg.f64 (*.f64 x x)) z)) t)) (-.f64 (/.f64 x z) (/.f64 x (*.f64 z z)))) t)) (/.f64 #s(literal 1 binary64) z)) t)))))) |
(fma.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (*.f64 x (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) y)))))) y x) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y)) x) y)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (neg.f64 #s(approx (/ (- (/ x (* z (* (- t x) (- t x)))) (/ 1 (- t x))) z) (fma.f64 t (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 z z))) (fma.f64 t (+.f64 (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 x x))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z z)))))))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (/.f64 (+.f64 (neg.f64 (/.f64 x (*.f64 t (*.f64 z z)))) (-.f64 (fma.f64 x (/.f64 (-.f64 x (*.f64 (neg.f64 x) z)) (*.f64 (*.f64 t t) (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) z)) (+.f64 (neg.f64 (/.f64 x (*.f64 z t))) (fma.f64 (*.f64 x #s(literal -3 binary64)) (/.f64 (-.f64 (neg.f64 (/.f64 x (*.f64 z z))) (/.f64 (neg.f64 x) z)) (*.f64 t t)) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 z (*.f64 t t))))))) t)))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 t x))) #s(literal -1 binary64)))))) |
(fma.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y x) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| Outputs |
|---|
(fma.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y x) |
5 calls:
| 41.0ms | x |
| 24.0ms | y |
| 24.0ms | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 22.0ms | z |
| 21.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.0% | 1 | x |
| 98.0% | 1 | y |
| 98.0% | 1 | z |
| 98.0% | 1 | t |
| 98.0% | 1 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
Compiled 39 to 28 computations (28.2% saved)
| Inputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z #s(approx (- t x) (neg.f64 x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (neg.f64 x)) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 z (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (/.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) 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 #s(approx (* z (- (tanh (/ t y)) (tanh (/ x y)))) (/.f64 (*.f64 z #s(approx (- t x) (neg.f64 x))) y)) y x) |
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (neg.f64 (/.f64 x y)))) x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (fma.f64 x (-.f64 (*.f64 t (/.f64 z x)) z) x))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (fma.f64 t (/.f64 x (neg.f64 t)) t)) x)) |
(fma.f64 #s(approx (* z (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (-.f64 t x) (/.f64 z y))) y x) |
(fma.f64 #s(approx (* z (- (tanh (/ t y)) (tanh (/ x y)))) (/.f64 (*.f64 z (-.f64 t x)) y)) y x) |
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(approx (- (* x x) (* z (* (- t x) (* z (- t x))))) (*.f64 x x)) (-.f64 x (*.f64 z (-.f64 t x))))) |
(+.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 (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 t x)))))) |
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))) x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (neg.f64 (/.f64 (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x))) (-.f64 x t))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(approx (- (* x x) (* z (* (- t x) (* z (- t x))))) (neg.f64 (*.f64 (*.f64 t t) (*.f64 z z)))) #s(approx (- x (* z (- t x))) (*.f64 (neg.f64 t) z)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) (+ (* (* 1/2 (- (+ (* t (* (* t t) 1/3)) (* x (* x x))) (+ (* t (* t t)) (* 1/3 (* x (* x x)))))) (/ z (* y y))) x)) (/.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) z) (*.f64 y y)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 t x))) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ 1 (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x))))))) (neg.f64 (/.f64 (*.f64 x (fma.f64 z (*.f64 z z) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 z z z)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(approx (- (* x x) (* z (* (- t x) (* z (- t x))))) (neg.f64 (*.f64 (*.f64 t t) (*.f64 z z)))) (-.f64 x (*.f64 z (-.f64 t x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (neg.f64 #s(approx (/ (- (/ x (* z (* (- t x) (- t x)))) (/ 1 (- t x))) z) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) (*.f64 x z))))))) |
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 x (-.f64 (/.f64 t (*.f64 x y)) (/.f64 #s(literal 1 binary64) y))))) x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 x (+.f64 (/.f64 t (*.f64 x y)) (/.f64 #s(literal -1 binary64) y))))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) (-.f64 x (*.f64 z (-.f64 t x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 (*.f64 (*.f64 (fma.f64 x (+.f64 t x) (*.f64 t t)) (-.f64 t x)) z) (fma.f64 x (+.f64 t x) (*.f64 t t))))) |
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (/.f64 #s(literal 1 binary64) y)) (+.f64 t x))) x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) #s(approx (neg (/ (- (/ x (* z (* (- t x) (- t x)))) (/ 1 (- t x))) z)) (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 z z))) x)))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (/.f64 #s(literal 1 binary64) y)) (+.f64 t x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (neg.f64 (/.f64 (-.f64 #s(approx (/ x (* z (* (- t x) (- t x)))) (/.f64 #s(literal 1 binary64) (*.f64 x z))) (/.f64 #s(literal 1 binary64) (-.f64 t x))) z))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (neg.f64 (/.f64 (-.f64 (/.f64 x #s(approx (* z (* (- t x) (- t x))) (*.f64 z (*.f64 t t)))) (/.f64 #s(literal 1 binary64) (-.f64 t x))) z))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) #s(approx (+ (* (* 1/2 (- (+ (* t (* (* t t) 1/3)) (* x (* x x))) (+ (* t (* t t)) (* 1/3 (* x (* x x)))))) (/ z (* y y))) x) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (/.f64 z (*.f64 y y)) #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x (*.f64 z (-.f64 t x))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z (-.f64 t x) x) (-.f64 x (*.f64 z (-.f64 t x)))))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)))) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (*.f64 (/.f64 (-.f64 (/.f64 x (*.f64 z (-.f64 t x))) #s(literal 1 binary64)) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (neg.f64 z)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (*.f64 x x) #s(approx (* z (* (- t x) (* z (- t x)))) (fma.f64 (*.f64 x x) (*.f64 z z) (*.f64 (*.f64 #s(literal -2 binary64) t) (*.f64 x (*.f64 z z)))))) (-.f64 x (*.f64 z (-.f64 t x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (neg.f64 (/.f64 (-.f64 (/.f64 x (*.f64 z (*.f64 (-.f64 t x) #s(approx (- t x) (neg.f64 x))))) (/.f64 #s(literal 1 binary64) (-.f64 t x))) z))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(approx (- (* x x) (* z (* (- t x) (* z (- t x))))) (*.f64 (*.f64 x x) (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 t (*.f64 z z)) x) #s(literal 1 binary64)) (*.f64 z z)))) (-.f64 x (*.f64 z (-.f64 t x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (neg.f64 (/.f64 (-.f64 (/.f64 x (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x)))) (/.f64 #s(literal 1 binary64) (-.f64 t x))) z))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (/.f64 #s(literal -1 binary64) (/.f64 z (/.f64 (-.f64 (/.f64 x (*.f64 z (-.f64 t x))) #s(literal 1 binary64)) (-.f64 t x))))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) (+ (* (* 1/2 (- (+ (* t (* (* t t) 1/3)) (* x (* x x))) (+ (* t (* t t)) (* 1/3 (* x (* x x)))))) (/ z (* y y))) x)) (*.f64 (*.f64 x (*.f64 x x)) (-.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 z (*.f64 x x)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (neg.f64 (/.f64 (-.f64 (/.f64 x #s(approx (* z (* (- t x) (- t x))) (fma.f64 #s(literal -2 binary64) (*.f64 t (*.f64 x z)) (*.f64 z (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 t x))) z))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (/.f64 (-.f64 (+.f64 (neg.f64 (/.f64 x (*.f64 t (*.f64 z z)))) (/.f64 #s(literal 1 binary64) z)) (neg.f64 (/.f64 x (*.f64 z t)))) t)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (*.f64 (*.f64 t t) (*.f64 z z))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (-.f64 t x) (*.f64 (-.f64 t x) (-.f64 t x)))))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (neg.f64 (/.f64 (-.f64 #s(approx (/ x (* z (* (- t x) (- t x)))) (fma.f64 #s(literal 2 binary64) (/.f64 t (*.f64 z (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x z)))) (/.f64 #s(literal 1 binary64) (-.f64 t x))) z))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (-.f64 (fma.f64 z (-.f64 t x) x) (/.f64 (fma.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)))) (/.f64 z y) #s(literal 0 binary64)) y))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))))) (/.f64 z (*.f64 y y)) x))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (-.f64 t x) (*.f64 (-.f64 t x) (-.f64 t x))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 z (-.f64 t x))) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 z y) (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))) (*.f64 x x)) (-.f64 (*.f64 (*.f64 z y) #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 (/.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)))) y) y) (-.f64 x t)) (neg.f64 y))))) |
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 (/.f64 t y) (/.f64 t y)) (*.f64 (/.f64 x y) (/.f64 x y))) (+.f64 (/.f64 t y) (/.f64 x y)))) x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 z (-.f64 t x))) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (-.f64 t x) (*.f64 (-.f64 t x) (-.f64 t x)))))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 z (-.f64 t x)) (*.f64 z (-.f64 t x)) (*.f64 x (-.f64 x (*.f64 z (-.f64 t x))))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (-.f64 t x) (*.f64 (-.f64 t x) (-.f64 t x)))))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 (/.f64 t y) (/.f64 t y)) (*.f64 (/.f64 x y) (/.f64 x y))) (+.f64 (/.f64 t y) (/.f64 x y)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (neg.f64 (/.f64 (-.f64 #s(approx (/ x (* z (* (- t x) (- t x)))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 t t) (*.f64 x z)) #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 t z))) x)) (/.f64 #s(literal 1 binary64) z)) x))) (/.f64 #s(literal 1 binary64) (-.f64 t x))) z))))) |
(fma.f64 (*.f64 z (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y x) |
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (neg.f64 (/.f64 (-.f64 #s(approx (/ x (* z (* (- t x) (- t x)))) (/.f64 (+.f64 (/.f64 x z) (neg.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 z t)) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 x x) z))) t))) (*.f64 t t))) (/.f64 #s(literal 1 binary64) (-.f64 t x))) z))))) |
(+.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))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (neg.f64 #s(approx (/ (- (/ x (* z (* (- t x) (- t x)))) (/ 1 (- t x))) z) (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 (/.f64 (+.f64 (/.f64 (neg.f64 (*.f64 x x)) (*.f64 z t)) (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 x x) (*.f64 t (*.f64 z z))) (/.f64 x (*.f64 z z))) (/.f64 x z))) t))) t))))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) #s(approx (neg (/ (- (/ x (* z (* (- t x) (- t x)))) (/ 1 (- t x))) z)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 x x) (*.f64 z z)) (/.f64 (neg.f64 (*.f64 x x)) z)) t)) (-.f64 (/.f64 x z) (/.f64 x (*.f64 z z)))) t)) (/.f64 #s(literal 1 binary64) z)) t)))))) |
(fma.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (*.f64 x (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) y)))))) y x) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y)) x) y)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (neg.f64 #s(approx (/ (- (/ x (* z (* (- t x) (- t x)))) (/ 1 (- t x))) z) (fma.f64 t (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 z z))) (fma.f64 t (+.f64 (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 x x))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z z)))))))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (/.f64 (+.f64 (neg.f64 (/.f64 x (*.f64 t (*.f64 z z)))) (-.f64 (fma.f64 x (/.f64 (-.f64 x (*.f64 (neg.f64 x) z)) (*.f64 (*.f64 t t) (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) z)) (+.f64 (neg.f64 (/.f64 x (*.f64 z t))) (fma.f64 (*.f64 x #s(literal -3 binary64)) (/.f64 (-.f64 (neg.f64 (/.f64 x (*.f64 z z))) (/.f64 (neg.f64 x) z)) (*.f64 t t)) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 z (*.f64 t t))))))) t)))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 t x))) #s(literal -1 binary64)))))) |
| Outputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (/.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) |
5 calls:
| 22.0ms | y |
| 22.0ms | x |
| 22.0ms | z |
| 22.0ms | t |
| 22.0ms | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.9% | 3 | x |
| 85.8% | 2 | y |
| 73.8% | 3 | z |
| 80.7% | 4 | t |
| 75.9% | 2 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
Compiled 39 to 28 computations (28.2% saved)
| Inputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z #s(approx (- t x) (neg.f64 x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (neg.f64 x)) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 z (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (/.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) 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 #s(approx (* z (- (tanh (/ t y)) (tanh (/ x y)))) (/.f64 (*.f64 z #s(approx (- t x) (neg.f64 x))) y)) y x) |
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (neg.f64 (/.f64 x y)))) x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (fma.f64 x (-.f64 (*.f64 t (/.f64 z x)) z) x))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (fma.f64 t (/.f64 x (neg.f64 t)) t)) x)) |
(fma.f64 #s(approx (* z (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (-.f64 t x) (/.f64 z y))) y x) |
(fma.f64 #s(approx (* z (- (tanh (/ t y)) (tanh (/ x y)))) (/.f64 (*.f64 z (-.f64 t x)) y)) y x) |
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(approx (- (* x x) (* z (* (- t x) (* z (- t x))))) (*.f64 x x)) (-.f64 x (*.f64 z (-.f64 t x))))) |
(+.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 (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 t x)))))) |
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))) x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (neg.f64 (/.f64 (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x))) (-.f64 x t))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(approx (- (* x x) (* z (* (- t x) (* z (- t x))))) (neg.f64 (*.f64 (*.f64 t t) (*.f64 z z)))) #s(approx (- x (* z (- t x))) (*.f64 (neg.f64 t) z)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) (+ (* (* 1/2 (- (+ (* t (* (* t t) 1/3)) (* x (* x x))) (+ (* t (* t t)) (* 1/3 (* x (* x x)))))) (/ z (* y y))) x)) (/.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) z) (*.f64 y y)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 t x))) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ 1 (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x))))))) (neg.f64 (/.f64 (*.f64 x (fma.f64 z (*.f64 z z) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 z z z)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(approx (- (* x x) (* z (* (- t x) (* z (- t x))))) (neg.f64 (*.f64 (*.f64 t t) (*.f64 z z)))) (-.f64 x (*.f64 z (-.f64 t x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (neg.f64 #s(approx (/ (- (/ x (* z (* (- t x) (- t x)))) (/ 1 (- t x))) z) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) (*.f64 x z))))))) |
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 x (-.f64 (/.f64 t (*.f64 x y)) (/.f64 #s(literal 1 binary64) y))))) x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 x (+.f64 (/.f64 t (*.f64 x y)) (/.f64 #s(literal -1 binary64) y))))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) (-.f64 x (*.f64 z (-.f64 t x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 (*.f64 (*.f64 (fma.f64 x (+.f64 t x) (*.f64 t t)) (-.f64 t x)) z) (fma.f64 x (+.f64 t x) (*.f64 t t))))) |
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (/.f64 #s(literal 1 binary64) y)) (+.f64 t x))) x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) #s(approx (neg (/ (- (/ x (* z (* (- t x) (- t x)))) (/ 1 (- t x))) z)) (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 z z))) x)))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (/.f64 #s(literal 1 binary64) y)) (+.f64 t x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (neg.f64 (/.f64 (-.f64 #s(approx (/ x (* z (* (- t x) (- t x)))) (/.f64 #s(literal 1 binary64) (*.f64 x z))) (/.f64 #s(literal 1 binary64) (-.f64 t x))) z))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (neg.f64 (/.f64 (-.f64 (/.f64 x #s(approx (* z (* (- t x) (- t x))) (*.f64 z (*.f64 t t)))) (/.f64 #s(literal 1 binary64) (-.f64 t x))) z))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) #s(approx (+ (* (* 1/2 (- (+ (* t (* (* t t) 1/3)) (* x (* x x))) (+ (* t (* t t)) (* 1/3 (* x (* x x)))))) (/ z (* y y))) x) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (/.f64 z (*.f64 y y)) #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x (*.f64 z (-.f64 t x))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z (-.f64 t x) x) (-.f64 x (*.f64 z (-.f64 t x)))))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)))) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (*.f64 (/.f64 (-.f64 (/.f64 x (*.f64 z (-.f64 t x))) #s(literal 1 binary64)) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (neg.f64 z)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (*.f64 x x) #s(approx (* z (* (- t x) (* z (- t x)))) (fma.f64 (*.f64 x x) (*.f64 z z) (*.f64 (*.f64 #s(literal -2 binary64) t) (*.f64 x (*.f64 z z)))))) (-.f64 x (*.f64 z (-.f64 t x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (neg.f64 (/.f64 (-.f64 (/.f64 x (*.f64 z (*.f64 (-.f64 t x) #s(approx (- t x) (neg.f64 x))))) (/.f64 #s(literal 1 binary64) (-.f64 t x))) z))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(approx (- (* x x) (* z (* (- t x) (* z (- t x))))) (*.f64 (*.f64 x x) (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 t (*.f64 z z)) x) #s(literal 1 binary64)) (*.f64 z z)))) (-.f64 x (*.f64 z (-.f64 t x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (neg.f64 (/.f64 (-.f64 (/.f64 x (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x)))) (/.f64 #s(literal 1 binary64) (-.f64 t x))) z))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (/.f64 #s(literal -1 binary64) (/.f64 z (/.f64 (-.f64 (/.f64 x (*.f64 z (-.f64 t x))) #s(literal 1 binary64)) (-.f64 t x))))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) (+ (* (* 1/2 (- (+ (* t (* (* t t) 1/3)) (* x (* x x))) (+ (* t (* t t)) (* 1/3 (* x (* x x)))))) (/ z (* y y))) x)) (*.f64 (*.f64 x (*.f64 x x)) (-.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 z (*.f64 x x)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (neg.f64 (/.f64 (-.f64 (/.f64 x #s(approx (* z (* (- t x) (- t x))) (fma.f64 #s(literal -2 binary64) (*.f64 t (*.f64 x z)) (*.f64 z (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 t x))) z))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (/.f64 (-.f64 (+.f64 (neg.f64 (/.f64 x (*.f64 t (*.f64 z z)))) (/.f64 #s(literal 1 binary64) z)) (neg.f64 (/.f64 x (*.f64 z t)))) t)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (*.f64 (*.f64 t t) (*.f64 z z))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (-.f64 t x) (*.f64 (-.f64 t x) (-.f64 t x)))))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (neg.f64 (/.f64 (-.f64 #s(approx (/ x (* z (* (- t x) (- t x)))) (fma.f64 #s(literal 2 binary64) (/.f64 t (*.f64 z (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x z)))) (/.f64 #s(literal 1 binary64) (-.f64 t x))) z))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (-.f64 (fma.f64 z (-.f64 t x) x) (/.f64 (fma.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)))) (/.f64 z y) #s(literal 0 binary64)) y))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))))) (/.f64 z (*.f64 y y)) x))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (-.f64 t x) (*.f64 (-.f64 t x) (-.f64 t x))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 z (-.f64 t x))) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 z y) (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))) (*.f64 x x)) (-.f64 (*.f64 (*.f64 z y) #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 (/.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)))) y) y) (-.f64 x t)) (neg.f64 y))))) |
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 (/.f64 t y) (/.f64 t y)) (*.f64 (/.f64 x y) (/.f64 x y))) (+.f64 (/.f64 t y) (/.f64 x y)))) x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 z (-.f64 t x))) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (-.f64 t x) (*.f64 (-.f64 t x) (-.f64 t x)))))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 z (-.f64 t x)) (*.f64 z (-.f64 t x)) (*.f64 x (-.f64 x (*.f64 z (-.f64 t x))))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (-.f64 t x) (*.f64 (-.f64 t x) (-.f64 t x)))))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 (/.f64 t y) (/.f64 t y)) (*.f64 (/.f64 x y) (/.f64 x y))) (+.f64 (/.f64 t y) (/.f64 x y)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (neg.f64 (/.f64 (-.f64 #s(approx (/ x (* z (* (- t x) (- t x)))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 t t) (*.f64 x z)) #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 t z))) x)) (/.f64 #s(literal 1 binary64) z)) x))) (/.f64 #s(literal 1 binary64) (-.f64 t x))) z))))) |
(fma.f64 (*.f64 z (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y x) |
| Outputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (/.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (*.f64 z (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y x) |
2 calls:
| 20.0ms | x |
| 20.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.8% | 3 | x |
| 79.9% | 2 | y |
Compiled 10 to 8 computations (20% saved)
| Inputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z #s(approx (- t x) (neg.f64 x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (neg.f64 x)) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 z (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (/.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) 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 #s(approx (* z (- (tanh (/ t y)) (tanh (/ x y)))) (/.f64 (*.f64 z #s(approx (- t x) (neg.f64 x))) y)) y x) |
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (neg.f64 (/.f64 x y)))) x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (fma.f64 x (-.f64 (*.f64 t (/.f64 z x)) z) x))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (fma.f64 t (/.f64 x (neg.f64 t)) t)) x)) |
(fma.f64 #s(approx (* z (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (-.f64 t x) (/.f64 z y))) y x) |
(fma.f64 #s(approx (* z (- (tanh (/ t y)) (tanh (/ x y)))) (/.f64 (*.f64 z (-.f64 t x)) y)) y x) |
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(approx (- (* x x) (* z (* (- t x) (* z (- t x))))) (*.f64 x x)) (-.f64 x (*.f64 z (-.f64 t x))))) |
(+.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 (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 t x)))))) |
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))) x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (neg.f64 (/.f64 (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x))) (-.f64 x t))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(approx (- (* x x) (* z (* (- t x) (* z (- t x))))) (neg.f64 (*.f64 (*.f64 t t) (*.f64 z z)))) #s(approx (- x (* z (- t x))) (*.f64 (neg.f64 t) z)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) (+ (* (* 1/2 (- (+ (* t (* (* t t) 1/3)) (* x (* x x))) (+ (* t (* t t)) (* 1/3 (* x (* x x)))))) (/ z (* y y))) x)) (/.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) z) (*.f64 y y)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 t x))) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ 1 (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x))))))) (neg.f64 (/.f64 (*.f64 x (fma.f64 z (*.f64 z z) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 z z z)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(approx (- (* x x) (* z (* (- t x) (* z (- t x))))) (neg.f64 (*.f64 (*.f64 t t) (*.f64 z z)))) (-.f64 x (*.f64 z (-.f64 t x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (neg.f64 #s(approx (/ (- (/ x (* z (* (- t x) (- t x)))) (/ 1 (- t x))) z) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) (*.f64 x z))))))) |
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 x (-.f64 (/.f64 t (*.f64 x y)) (/.f64 #s(literal 1 binary64) y))))) x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 x (+.f64 (/.f64 t (*.f64 x y)) (/.f64 #s(literal -1 binary64) y))))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) (-.f64 x (*.f64 z (-.f64 t x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (/.f64 (*.f64 (*.f64 (fma.f64 x (+.f64 t x) (*.f64 t t)) (-.f64 t x)) z) (fma.f64 x (+.f64 t x) (*.f64 t t))))) |
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (/.f64 #s(literal 1 binary64) y)) (+.f64 t x))) x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) #s(approx (neg (/ (- (/ x (* z (* (- t x) (- t x)))) (/ 1 (- t x))) z)) (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 z z))) x)))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (/.f64 #s(literal 1 binary64) y)) (+.f64 t x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (neg.f64 (/.f64 (-.f64 #s(approx (/ x (* z (* (- t x) (- t x)))) (/.f64 #s(literal 1 binary64) (*.f64 x z))) (/.f64 #s(literal 1 binary64) (-.f64 t x))) z))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (neg.f64 (/.f64 (-.f64 (/.f64 x #s(approx (* z (* (- t x) (- t x))) (*.f64 z (*.f64 t t)))) (/.f64 #s(literal 1 binary64) (-.f64 t x))) z))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) #s(approx (+ (* (* 1/2 (- (+ (* t (* (* t t) 1/3)) (* x (* x x))) (+ (* t (* t t)) (* 1/3 (* x (* x x)))))) (/ z (* y y))) x) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (/.f64 z (*.f64 y y)) #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x (*.f64 z (-.f64 t x))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z (-.f64 t x) x) (-.f64 x (*.f64 z (-.f64 t x)))))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)))) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (*.f64 (/.f64 (-.f64 (/.f64 x (*.f64 z (-.f64 t x))) #s(literal 1 binary64)) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (neg.f64 z)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (*.f64 x x) #s(approx (* z (* (- t x) (* z (- t x)))) (fma.f64 (*.f64 x x) (*.f64 z z) (*.f64 (*.f64 #s(literal -2 binary64) t) (*.f64 x (*.f64 z z)))))) (-.f64 x (*.f64 z (-.f64 t x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (neg.f64 (/.f64 (-.f64 (/.f64 x (*.f64 z (*.f64 (-.f64 t x) #s(approx (- t x) (neg.f64 x))))) (/.f64 #s(literal 1 binary64) (-.f64 t x))) z))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(approx (- (* x x) (* z (* (- t x) (* z (- t x))))) (*.f64 (*.f64 x x) (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 t (*.f64 z z)) x) #s(literal 1 binary64)) (*.f64 z z)))) (-.f64 x (*.f64 z (-.f64 t x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (neg.f64 (/.f64 (-.f64 (/.f64 x (*.f64 z (*.f64 (-.f64 t x) (-.f64 t x)))) (/.f64 #s(literal 1 binary64) (-.f64 t x))) z))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (/.f64 #s(literal -1 binary64) (/.f64 z (/.f64 (-.f64 (/.f64 x (*.f64 z (-.f64 t x))) #s(literal 1 binary64)) (-.f64 t x))))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) (+ (* (* 1/2 (- (+ (* t (* (* t t) 1/3)) (* x (* x x))) (+ (* t (* t t)) (* 1/3 (* x (* x x)))))) (/ z (* y y))) x)) (*.f64 (*.f64 x (*.f64 x x)) (-.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 z (*.f64 x x)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (neg.f64 (/.f64 (-.f64 (/.f64 x #s(approx (* z (* (- t x) (- t x))) (fma.f64 #s(literal -2 binary64) (*.f64 t (*.f64 x z)) (*.f64 z (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 t x))) z))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (/.f64 (-.f64 (+.f64 (neg.f64 (/.f64 x (*.f64 t (*.f64 z z)))) (/.f64 #s(literal 1 binary64) z)) (neg.f64 (/.f64 x (*.f64 z t)))) t)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (*.f64 (*.f64 t t) (*.f64 z z))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (-.f64 t x) (*.f64 (-.f64 t x) (-.f64 t x)))))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (neg.f64 (/.f64 (-.f64 #s(approx (/ x (* z (* (- t x) (- t x)))) (fma.f64 #s(literal 2 binary64) (/.f64 t (*.f64 z (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x z)))) (/.f64 #s(literal 1 binary64) (-.f64 t x))) z))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (-.f64 (fma.f64 z (-.f64 t x) x) (/.f64 (fma.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)))) (/.f64 z y) #s(literal 0 binary64)) y))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))))) (/.f64 z (*.f64 y y)) x))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (-.f64 t x) (*.f64 (-.f64 t x) (-.f64 t x))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 z (-.f64 t x))) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x)))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 z y) (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))) (*.f64 x x)) (-.f64 (*.f64 (*.f64 z y) #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 (/.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)))) y) y) (-.f64 x t)) (neg.f64 y))))) |
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 (/.f64 t y) (/.f64 t y)) (*.f64 (/.f64 x y) (/.f64 x y))) (+.f64 (/.f64 t y) (/.f64 x y)))) x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 z (-.f64 t x))) (*.f64 z (*.f64 (-.f64 t x) (*.f64 z (-.f64 t x))))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (-.f64 t x) (*.f64 (-.f64 t x) (-.f64 t x)))))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 z (-.f64 t x)) (*.f64 z (-.f64 t x)) (*.f64 x (-.f64 x (*.f64 z (-.f64 t x))))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (-.f64 t x) (*.f64 (-.f64 t x) (-.f64 t x)))))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 (/.f64 t y) (/.f64 t y)) (*.f64 (/.f64 x y) (/.f64 x y))) (+.f64 (/.f64 t y) (/.f64 x y)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (neg.f64 (/.f64 (-.f64 #s(approx (/ x (* z (* (- t x) (- t x)))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 t t) (*.f64 x z)) #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 t z))) x)) (/.f64 #s(literal 1 binary64) z)) x))) (/.f64 #s(literal 1 binary64) (-.f64 t x))) z))))) |
| Outputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)) |
1 calls:
| 27.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.8% | 2 | y |
Compiled 5 to 4 computations (20% saved)
| Inputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z #s(approx (- t x) (neg.f64 x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (neg.f64 x)) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 z (-.f64 t x)))) |
| Outputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (neg.f64 x)) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)) |
5 calls:
| 4.0ms | z |
| 3.0ms | y |
| 3.0ms | t |
| 3.0ms | x |
| 3.0ms | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.5% | 2 | x |
| 65.5% | 3 | z |
| 62.0% | 1 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 62.0% | 1 | t |
| 66.5% | 2 | y |
Compiled 39 to 28 computations (28.2% saved)
| Inputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z #s(approx (- t x) (neg.f64 x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (neg.f64 x)) x)) |
| Outputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (neg.f64 x)) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))) |
2 calls:
| 2.0ms | y |
| 2.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.3% | 3 | z |
| 54.3% | 2 | y |
Compiled 10 to 8 computations (20% saved)
| Inputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z #s(approx (- t x) (neg.f64 x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z (-.f64 t x)))) |
| 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:
| 21.0ms | t |
| 2.0ms | y |
| 2.0ms | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 2.0ms | x |
| 2.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 28.7% | 1 | y |
| 28.7% | 1 | t |
| 28.7% | 1 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 28.7% | 1 | x |
| 28.7% | 1 | z |
Compiled 39 to 28 computations (28.2% saved)
| Inputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z #s(approx (- t x) (neg.f64 x))))) |
| Outputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z #s(approx (- t x) (neg.f64 x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) |
5 calls:
| 2.0ms | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 2.0ms | t |
| 2.0ms | x |
| 1.0ms | y |
| 1.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 25.6% | 3 | t |
| 23.8% | 2 | x |
| 20.2% | 1 | y |
| 20.2% | 1 | z |
| 20.2% | 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)
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 | x |
| 1.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 20.2% | 1 | z |
| 20.2% | 1 | x |
| 20.2% | 1 | t |
Compiled 15 to 12 computations (20% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 35.0ms | 2.2640134111702592e-129 | 2.4429615262381774e-129 |
| 1.0ms | 16× | 0 | valid |
Compiled 53 to 38 computations (28.3% saved)
ival-div: 0.0ms (0% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)ival-tanh: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 9.0ms | 4.7161985959063855e-66 | 1.88594279705713e-65 |
| 6.0ms | 78× | 0 | valid |
| 0.0ms | 2× | 1 | valid |
Compiled 177 to 114 computations (35.6% saved)
ival-div: 1.0ms (26.5% of total)ival-mult: 1.0ms (26.5% of total)ival-tanh: 1.0ms (26.5% of total)ival-sub: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 1.5878170016790165e-69 | 5.25935885347089e-67 |
| 9.0ms | 122× | 0 | valid |
| 1.0ms | 6× | 1 | valid |
Compiled 214 to 139 computations (35% saved)
ival-div: 2.0ms (31.7% of total)ival-mult: 2.0ms (31.7% of total)ival-sub: 1.0ms (15.9% of total)ival-tanh: 1.0ms (15.9% of total)ival-add: 1.0ms (15.9% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 4.0ms | 1.5878170016790165e-69 | 5.25935885347089e-67 |
| 2.0ms | 31× | 0 | valid |
| 0.0ms | 1× | 1 | valid |
Compiled 214 to 131 computations (38.8% saved)
adjust: 0.0ms (0% of total)ival-div: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-tanh: 0.0ms (0% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 40.0ms | 6081.465964457305 | 365431.3034466655 |
| 16.0ms | -9.918627041072028e-9 | -1.899546964245491e-17 |
| 46.0ms | 256× | 0 | valid |
Compiled 406 to 243 computations (40.1% saved)
ival-div: 4.0ms (33.8% of total)ival-mult: 3.0ms (25.4% of total)ival-tanh: 2.0ms (16.9% of total)ival-sub: 1.0ms (8.5% of total)ival-add: 1.0ms (8.5% 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 |
|---|---|---|
| 19.0ms | 2.524389167905596e-135 | 1.3211749586245526e-107 |
| 21.0ms | -7.456635101908681e-151 | -1.3149572145173236e-167 |
| 28.0ms | 335× | 0 | valid |
| 0.0ms | 1× | 1 | valid |
Compiled 484 to 292 computations (39.7% saved)
ival-div: 5.0ms (26.3% of total)ival-add: 5.0ms (26.3% of total)ival-mult: 4.0ms (21% of total)ival-tanh: 3.0ms (15.8% of total)ival-sub: 1.0ms (5.3% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
| 26× | *-commutative_binary64 |
| 18× | +-commutative_binary64 |
| 18× | sub-neg_binary64 |
| 10× | neg-sub0_binary64 |
| 10× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 95 | 609 |
| 1 | 117 | 609 |
| 2 | 133 | 609 |
| 3 | 143 | 609 |
| 4 | 147 | 609 |
| 5 | 148 | 609 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) z (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) z)) y x) |
(fma.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y x) |
(if (<=.f64 y #s(literal 7492196520758381/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (/.f64 #s(literal 1 binary64) x)))) (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x)) |
(if (<=.f64 y #s(literal 1096782669255859/59285549689505892056868344324448208820874232148807968788202283012051522375647232 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (/.f64 #s(literal 1 binary64) x)))) (fma.f64 (*.f64 z (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y x)) |
(if (<=.f64 y #s(literal 6526153309820809/30354201441027016733116592294117482916287606860189680019559568902170379456331382784 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (/.f64 #s(literal 1 binary64) x)))) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x))) |
(if (<=.f64 y #s(literal 2807763633294999/15177100720513508366558296147058741458143803430094840009779784451085189728165691392 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (neg.f64 x)) x)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x))) |
(if (<=.f64 z #s(literal -4797017652230849/77371252455336267181195264 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 48000 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (neg.f64 x)) x)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))) |
(if (<=.f64 t #s(literal -8453675831600253/120766797594289323271729746591624604509341479053326093708038601607859973196548763266756055205685080561326988000984443036792658708157593364241965896045846273396780650463232 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 1268438860559755/409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z #s(approx (- t x) (neg.f64 x))))) #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)) z (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) z)) y x) |
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) z (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 z))) y x) |
(fma.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y x) |
(if (<=.f64 y #s(literal 7492196520758381/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (/.f64 #s(literal 1 binary64) x)))) (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x)) |
(if (<=.f64 y #s(literal 7492196520758381/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (/.f64 #s(literal 1 binary64) x)))) (fma.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) z x)) |
(if (<=.f64 y #s(literal 1096782669255859/59285549689505892056868344324448208820874232148807968788202283012051522375647232 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (/.f64 #s(literal 1 binary64) x)))) (fma.f64 (*.f64 z (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y x)) |
(if (<=.f64 y #s(literal 6526153309820809/30354201441027016733116592294117482916287606860189680019559568902170379456331382784 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (- x (* z (- t x)))) (* z (* (- t x) (* z (- t x))))) (+ (* x (* x x)) (* (* z (* z z)) (* (- t x) (* (- t x) (- t x)))))) (/.f64 #s(literal 1 binary64) x)))) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x))) |
(if (<=.f64 y #s(literal 2807763633294999/15177100720513508366558296147058741458143803430094840009779784451085189728165691392 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (neg.f64 x)) x)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x))) |
(if (<=.f64 z #s(literal -4797017652230849/77371252455336267181195264 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 48000 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (neg.f64 x)) x)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))) |
(if (<=.f64 t #s(literal -8453675831600253/120766797594289323271729746591624604509341479053326093708038601607859973196548763266756055205685080561326988000984443036792658708157593364241965896045846273396780650463232 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 1268438860559755/409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z #s(approx (- t x) (neg.f64 x))))) #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 -8453675831600253/120766797594289323271729746591624604509341479053326093708038601607859973196548763266756055205685080561326988000984443036792658708157593364241965896045846273396780650463232 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 1268438860559755/409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (/ (- (* x x) (* z (* (- t x) (* z (- t x))))) (- x (* z (- t x)))) (*.f64 z #s(approx (- t x) (neg.f64 x))))) #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))) |
| 16 158× | lower-fma.f64 |
| 16 158× | lower-fma.f32 |
| 10 022× | lower-fma.f64 |
| 10 022× | lower-fma.f32 |
| 7 180× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 788 | 38152 |
| 1 | 2620 | 28893 |
| 0 | 9465 | 28107 |
| 0 | 2331 | 41614 |
| 1 | 7847 | 41590 |
| 0 | 8218 | 40304 |
| 0 | 2184 | 36636 |
| 1 | 7384 | 36612 |
| 0 | 8907 | 35285 |
| 0 | 12 | 44 |
| 0 | 20 | 44 |
| 1 | 99 | 44 |
| 2 | 871 | 44 |
| 0 | 8208 | 43 |
| 0 | 447 | 9354 |
| 1 | 1515 | 7627 |
| 2 | 6277 | 7212 |
| 0 | 9374 | 7079 |
| 0 | 47 | 351 |
| 0 | 82 | 325 |
| 1 | 342 | 325 |
| 2 | 3036 | 325 |
| 0 | 8280 | 315 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 595 to 286 computations (51.9% saved)
(abs y)
Compiled 568 to 230 computations (59.5% saved)
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