
Time bar (total: 13.6s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 2 |
| 50% | 49.9% | 49.9% | 0.2% | 0% | 0% | 0% | 3 |
| 50% | 49.9% | 49.9% | 0.2% | 0% | 0% | 0% | 4 |
| 50% | 49.9% | 49.9% | 0.2% | 0% | 0% | 0% | 5 |
| 50% | 49.9% | 49.9% | 0.2% | 0% | 0% | 0% | 6 |
| 75% | 74.9% | 25% | 0.2% | 0% | 0% | 0% | 7 |
| 75% | 74.9% | 25% | 0.2% | 0% | 0% | 0% | 8 |
| 75% | 74.9% | 25% | 0.2% | 0% | 0% | 0% | 9 |
| 75% | 74.9% | 25% | 0.2% | 0% | 0% | 0% | 10 |
| 87.5% | 87.3% | 12.5% | 0.2% | 0% | 0% | 0% | 11 |
| 87.5% | 87.3% | 12.5% | 0.2% | 0% | 0% | 0% | 12 |
Compiled 17 to 14 computations (17.6% saved)
| 1.0s | 8 058× | 0 | valid |
| 32.0ms | 198× | 1 | valid |
ival-div: 196.0ms (33.8% of total)ival-mult: 167.0ms (28.8% of total)ival-tanh: 89.0ms (15.4% of total)ival-add: 64.0ms (11.1% of total)ival-sub: 49.0ms (8.5% of total)ival-true: 6.0ms (1% of total)adjust: 4.0ms (0.7% of total)ival-assert: 3.0ms (0.5% 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 |
|---|---|---|---|---|---|
| 12 | 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 | 8 | 0 |
*.f64 | (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) | o*u | 4 | 0 |
| ↳ | (*.f64 y z) | overflow | 29 | |
| ↳ | (/.f64 t y) | underflow | 27 | |
| ↳ | (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) | underflow | 42 | |
| ↳ | (tanh.f64 (/.f64 x y)) | underflow | 31 | |
| ↳ | (/.f64 x y) | underflow | 31 | |
| ↳ | (tanh.f64 (/.f64 t y)) | underflow | 27 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 12 | 0 |
| - | 0 | 244 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 12 | 0 | 0 |
| - | 0 | 0 | 244 |
| number | freq |
|---|---|
| 0 | 244 |
| 1 | 12 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 47.0ms | 442× | 0 | valid |
| 15.0ms | 58× | 2 | valid |
| 2.0ms | 12× | 1 | valid |
Compiled 158 to 52 computations (67.1% saved)
ival-div: 16.0ms (42.6% of total)ival-mult: 7.0ms (18.6% of total)ival-tanh: 6.0ms (16% of total)ival-sub: 3.0ms (8% of total)ival-add: 3.0ms (8% of total)adjust: 2.0ms (5.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)Compiled 4 to 4 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 95.5% | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
Compiled 19 to 12 computations (36.8% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
| ✓ | cost-diff | 0 | (*.f64 y z) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
| ✓ | cost-diff | 128 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 12 492× | lower-fma.f64 |
| 12 492× | lower-fma.f32 |
| 3 782× | lower-*.f32 |
| 3 778× | lower-*.f64 |
| 2 164× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 58 |
| 0 | 20 | 58 |
| 1 | 62 | 58 |
| 2 | 165 | 58 |
| 3 | 427 | 58 |
| 4 | 1658 | 58 |
| 5 | 6383 | 58 |
| 0 | 8408 | 57 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
x |
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
(*.f64 y z) |
y |
z |
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
(tanh.f64 (/.f64 t y)) |
(/.f64 t y) |
t |
(tanh.f64 (/.f64 x y)) |
(/.f64 x y) |
| Outputs |
|---|
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x) |
x |
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
(*.f64 y z) |
y |
z |
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
(tanh.f64 (/.f64 t y)) |
(/.f64 t y) |
t |
(tanh.f64 (/.f64 x y)) |
(/.f64 x y) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| ✓ | accuracy | 100.0% | (tanh.f64 (/.f64 x y)) |
| ✓ | accuracy | 100.0% | (tanh.f64 (/.f64 t y)) |
| ✓ | accuracy | 95.5% | (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
| 19.0ms | 221× | 0 | valid |
| 9.0ms | 29× | 2 | valid |
| 1.0ms | 6× | 1 | valid |
Compiled 60 to 14 computations (76.7% saved)
ival-div: 4.0ms (25.9% of total)ival-mult: 4.0ms (25.9% of total)ival-tanh: 3.0ms (19.4% of total)ival-sub: 1.0ms (6.5% of total)adjust: 1.0ms (6.5% of total)ival-add: 1.0ms (6.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))> |
#<alt (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))> |
#<alt (*.f64 y z)> |
#<alt (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))> |
#<alt (tanh.f64 (/.f64 t y))> |
#<alt (tanh.f64 (/.f64 x y))> |
| Outputs |
|---|
#<alt (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))> |
#<alt (+ (* x (+ 1 (* -1 z))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))> |
#<alt (+ (* x (+ 1 (+ (* -1 z) (* 1/3 (/ (* (pow x 2) z) (pow y 2)))))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))> |
#<alt (+ (* x (+ 1 (+ (* -1 z) (* (pow x 2) (+ (* -2/15 (/ (* (pow x 2) z) (pow y 4))) (* 1/3 (/ z (pow y 2)))))))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))> |
#<alt x> |
#<alt (* x (+ 1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)))> |
#<alt (* x (+ 1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)))> |
#<alt (* x (+ 1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1)))> |
#<alt x> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* z (- t x)))> |
#<alt (+ x (+ (* z (- t x)) (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y)))> |
#<alt (+ x (+ (* z (- t x)) (+ (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y) (/ (* z (- (+ (* 1/2 (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3))))) (* 1/2 (pow x 3))) (+ (* 1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3))))) (* 1/2 (pow t 3))))) (pow y 2)))))> |
#<alt (+ x (+ (* z (- t x)) (+ (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y) (+ (/ (* z (- (+ (* -1/2 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))))) (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (* 1/2 (+ (* -1 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/6 (pow t 3)))))) (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (* 1/12 (pow t 4)))))))) (+ (* -1/2 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (* -1/2 (pow t 3))))) (+ (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2)))) (* 1/2 (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4)))))))))) (pow y 3)) (/ (* z (- (+ (* 1/2 (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3))))) (* 1/2 (pow x 3))) (+ (* 1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3))))) (* 1/2 (pow t 3))))) (pow y 2))))))> |
#<alt (+ x (* -1 (* z (- (* -1 t) (* -1 x)))))> |
#<alt (+ x (+ (* -1 (* z (- (* -1 t) (* -1 x)))) (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y)))> |
#<alt (+ x (+ (* -1 (* z (- (* -1 t) (* -1 x)))) (* -1 (/ (+ (* -1 (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))))) (/ (* z (- (+ (* -1/2 (pow x 3)) (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))))) (+ (* -1/2 (pow t 3)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))))) y)) y))))> |
#<alt (+ x (+ (* -1 (* z (- (* -1 t) (* -1 x)))) (* -1 (/ (+ (* -1 (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))))) (* -1 (/ (+ (* -1 (* z (- (+ (* -1/2 (pow x 3)) (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))))) (+ (* -1/2 (pow t 3)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))))) (/ (* z (- (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (+ (* 1/2 (* x (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) (* 1/2 (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (+ (* 1/12 (pow t 4)) (* t (+ (* -1/6 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))))))))) (+ (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2)))) (+ (* 1/2 (* t (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))) (* 1/2 (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (+ (* 1/12 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))))))))) y)) y))) y))))> |
#<alt x> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* z (+ (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (/ x z)))> |
#<alt (* z (+ (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (/ x z)))> |
#<alt (* z (+ (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (/ x z)))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* -1 (* z (+ (* -1 (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (* -1 (/ x z)))))> |
#<alt (* -1 (* z (+ (* -1 (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (* -1 (/ x z)))))> |
#<alt (* -1 (* z (+ (* -1 (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (* -1 (/ x z)))))> |
#<alt (+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<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))))))))))> |
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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 (/ (- t x) y)> |
#<alt (/ (- (+ t (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y))) (+ x (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)))) y)> |
#<alt (/ (- (+ t (+ (* 1/2 (/ (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3)))) (pow y 2))) (+ (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y)) (* 1/2 (/ (pow x 3) (pow y 2)))))) (+ x (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3)))) (pow y 2))) (+ (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)) (* 1/2 (/ (pow t 3) (pow y 2))))))) y)> |
#<alt (/ (- (+ t (+ (* -1/2 (/ (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (pow y 3))) (+ (* 1/4 (/ (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/6 (pow t 3)))))) (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (* 1/12 (pow t 4))))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3)))) (pow y 2))) (+ (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y)) (* 1/2 (/ (pow x 3) (pow y 2))))))))) (+ x (+ (* -1/2 (/ (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (* -1/2 (pow t 3)))) (pow y 3))) (+ (* 1/4 (/ (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3)))) (pow y 2))) (+ (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)) (* 1/2 (/ (pow t 3) (pow y 2)))))))))) y)> |
#<alt (* -1 (/ (- (* -1 t) (* -1 x)) y))> |
#<alt (* -1 (/ (- (+ (* -1 t) (* -1 (/ (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) (* -1 x)) y))> |
#<alt (* -1 (/ (- (+ (* -1 t) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (pow x 3)) (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))))) (+ (* -1/2 (pow t 3)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))) y)) (* 1/2 (+ (* -1 (pow t 2)) (pow t 2)))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) (* -1 x)) y))> |
#<alt (* -1 (/ (- (+ (* -1 t) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (+ (* 1/2 (* x (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) (* 1/2 (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (+ (* 1/12 (pow t 4)) (* t (+ (* -1/6 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))))))))) (+ (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2)))) (+ (* 1/2 (* t (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))) (* 1/2 (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (+ (* 1/12 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))))))))) y)) (+ (* -1/2 (pow x 3)) (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))))) (+ (* -1/2 (pow t 3)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))) y)) (* 1/2 (+ (* -1 (pow t 2)) (pow t 2)))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) (* -1 x)) y))> |
#<alt (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))> |
#<alt (- (+ (* -1 (/ x y)) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))> |
#<alt (- (+ (* x (- (* 1/3 (/ (pow x 2) (pow y 3))) (/ 1 y))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))> |
#<alt (- (+ (* x (- (* (pow x 2) (+ (* -2/15 (/ (pow x 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))> |
#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))> |
#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))> |
#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))> |
#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))> |
#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))> |
#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))> |
#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))> |
#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))> |
#<alt (/ t y)> |
#<alt (* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y)))> |
#<alt (* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y)))> |
#<alt (* t (+ (* (pow t 2) (- (* (pow t 2) (+ (* -17/315 (/ (pow t 2) (pow y 7))) (* 2/15 (/ 1 (pow y 5))))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y)))> |
#<alt (/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))> |
#<alt (/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))> |
#<alt (/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))> |
#<alt (/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))> |
#<alt (/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))> |
#<alt (/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))> |
#<alt (/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))> |
#<alt (/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))> |
#<alt (/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))> |
#<alt (/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))> |
#<alt (/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))> |
#<alt (/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))> |
#<alt (/ t y)> |
#<alt (/ (+ t (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y))) y)> |
#<alt (/ (- (+ t (+ (* 1/2 (/ (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y)))) (* 1/2 (/ (pow t 3) (pow y 2)))) y)> |
#<alt (/ (- (+ t (+ (* 1/2 (/ (+ (* -1 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/6 (pow t 3)))))) (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (* 1/12 (pow t 4))))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y))))) (+ (* -1/2 (/ (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (* -1/2 (pow t 3)))) (pow y 3))) (+ (* 1/4 (/ (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2))) (pow y 3))) (* 1/2 (/ (pow t 3) (pow y 2)))))) y)> |
#<alt (/ t y)> |
#<alt (* -1 (/ (+ (* -1 t) (* -1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y))) y))> |
#<alt (* -1 (/ (+ (* -1 t) (* -1 (/ (+ (* -1 (/ (- (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))) (* -1/2 (pow t 3))) y)) (* 1/2 (+ (* -1 (pow t 2)) (pow t 2)))) y))) y))> |
#<alt (* -1 (/ (+ (* -1 t) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (+ (* 1/12 (pow t 4)) (* t (+ (* -1/6 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))))))) (+ (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2)))) (* 1/2 (* t (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))))) y)) (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))))) (* -1/2 (pow t 3))) y)) (* 1/2 (+ (* -1 (pow t 2)) (pow t 2)))) y))) y))> |
#<alt (/ x y)> |
#<alt (* x (+ (* -1/3 (/ (pow x 2) (pow y 3))) (/ 1 y)))> |
#<alt (* x (+ (* (pow x 2) (- (* 2/15 (/ (pow x 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y)))> |
#<alt (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -17/315 (/ (pow x 2) (pow y 7))) (* 2/15 (/ 1 (pow y 5))))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y)))> |
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))> |
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))> |
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))> |
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))> |
#<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))> |
51 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 28.0ms | y | @ | inf | (- (tanh (/ t y)) (tanh (/ x y))) |
| 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 | @ | -inf | (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) |
| 3.0ms | y | @ | -inf | (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) |
| 1× | egg-herbie |
| 13 264× | lower-fma.f64 |
| 13 264× | lower-fma.f32 |
| 4 518× | lower-*.f64 |
| 4 518× | lower-*.f32 |
| 4 012× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 495 | 10076 |
| 1 | 1678 | 7475 |
| 2 | 6942 | 7471 |
| 0 | 8224 | 7285 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))) |
(+ (* x (+ 1 (* -1 z))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))) |
(+ (* x (+ 1 (+ (* -1 z) (* 1/3 (/ (* (pow x 2) z) (pow y 2)))))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))) |
(+ (* x (+ 1 (+ (* -1 z) (* (pow x 2) (+ (* -2/15 (/ (* (pow x 2) z) (pow y 4))) (* 1/3 (/ z (pow y 2)))))))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))) |
x |
(* x (+ 1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x))) |
(* x (+ 1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x))) |
(* x (+ 1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x))) |
x |
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(/ x y) |
(* x (+ (* -1/3 (/ (pow x 2) (pow y 3))) (/ 1 y))) |
(* x (+ (* (pow x 2) (- (* 2/15 (/ (pow x 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) |
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -17/315 (/ (pow x 2) (pow y 7))) (* 2/15 (/ 1 (pow y 5))))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/ x y) |
(/ (+ x (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) y) |
(/ (- (+ x (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)))) (* 1/2 (/ (pow x 3) (pow y 2)))) y) |
(/ (- (+ x (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))))) (+ (* -1/2 (/ (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (pow y 3))) (+ (* 1/4 (/ (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2))) (pow y 3))) (* 1/2 (/ (pow x 3) (pow y 2)))))) y) |
(/ x y) |
(* -1 (/ (+ (* -1 x) (* -1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (- (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) (* -1/2 (pow x 3))) y)) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (+ (* 1/12 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))))) (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (* 1/2 (* x (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))) y)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))) (* -1/2 (pow x 3))) y)) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) y)) |
| Outputs |
|---|
(* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))) |
(/.f64 (*.f64 (*.f64 y z) (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) |
(+ (* x (+ 1 (* -1 z))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))) |
(fma.f64 y (/.f64 (*.f64 z (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (fma.f64 z (neg.f64 x) x)) |
(+ (* x (+ 1 (+ (* -1 z) (* 1/3 (/ (* (pow x 2) z) (pow y 2)))))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))) |
(fma.f64 y (/.f64 (*.f64 z (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (fma.f64 x (fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y))) x) x (neg.f64 z)) x)) |
(+ (* x (+ 1 (+ (* -1 z) (* (pow x 2) (+ (* -2/15 (/ (* (pow x 2) z) (pow y 4))) (* 1/3 (/ z (pow y 2)))))))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))) |
(fma.f64 y (/.f64 (*.f64 z (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (fma.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 x x) #s(literal -2/15 binary64)) (/.f64 z (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)))) (neg.f64 z)) x)) |
x |
(* x (+ 1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x))) |
(fma.f64 (*.f64 x y) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))))) (/.f64 z x)) x) |
(* x (+ 1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x))) |
(fma.f64 (*.f64 x y) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))))) (/.f64 z x)) x) |
(* x (+ 1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x))) |
(fma.f64 (*.f64 x y) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))))) (/.f64 z x)) x) |
x |
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
(fma.f64 (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))))) (*.f64 y z)) (neg.f64 x)) (neg.f64 x) x) |
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
(fma.f64 (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))))) (*.f64 y z)) (neg.f64 x)) (neg.f64 x) x) |
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
(fma.f64 (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))))) (*.f64 y z)) (neg.f64 x)) (neg.f64 x) x) |
x |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))))) (*.f64 y z) x) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))))) (*.f64 y z) x) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))))) (*.f64 y z) x) |
(+ x (* z (- t x))) |
(fma.f64 z (-.f64 t x) x) |
(+ x (+ (* z (- t x)) (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y))) |
(fma.f64 z (+.f64 t (-.f64 (/.f64 #s(literal 0 binary64) y) x)) x) |
(+ x (+ (* z (- t x)) (+ (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y) (/ (* z (- (+ (* 1/2 (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3))))) (* 1/2 (pow x 3))) (+ (* 1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3))))) (* 1/2 (pow t 3))))) (pow y 2))))) |
(fma.f64 z (+.f64 t (-.f64 (/.f64 #s(literal 0 binary64) y) x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))))) (/.f64 z (*.f64 y y)) x)) |
(+ x (+ (* z (- t x)) (+ (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y) (+ (/ (* z (- (+ (* -1/2 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))))) (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (* 1/2 (+ (* -1 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/6 (pow t 3)))))) (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (* 1/12 (pow t 4)))))))) (+ (* -1/2 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (* -1/2 (pow t 3))))) (+ (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2)))) (* 1/2 (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4)))))))))) (pow y 3)) (/ (* z (- (+ (* 1/2 (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3))))) (* 1/2 (pow x 3))) (+ (* 1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3))))) (* 1/2 (pow t 3))))) (pow y 2)))))) |
(fma.f64 z (+.f64 t (-.f64 (/.f64 #s(literal 0 binary64) y) x)) (fma.f64 z (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 t (*.f64 t t) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 y y)) (/.f64 (fma.f64 x (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 (*.f64 t t) (*.f64 (*.f64 t (*.f64 t #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) (*.f64 (*.f64 t (*.f64 t (*.f64 t t))) #s(literal -1/12 binary64))) (*.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/6 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/12 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)))) (fma.f64 (fma.f64 t (*.f64 #s(literal 1/2 binary64) (*.f64 t t)) (*.f64 t (*.f64 t (*.f64 t #s(literal -1/2 binary64))))) (*.f64 t #s(literal -1/2 binary64)) #s(literal 0 binary64))))) (*.f64 y (*.f64 y y)))) x)) |
(+ x (* -1 (* z (- (* -1 t) (* -1 x))))) |
(fma.f64 (neg.f64 z) (+.f64 x (neg.f64 t)) x) |
(+ x (+ (* -1 (* z (- (* -1 t) (* -1 x)))) (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y))) |
(fma.f64 z (/.f64 #s(literal 0 binary64) y) (fma.f64 (neg.f64 z) (+.f64 x (neg.f64 t)) x)) |
(+ x (+ (* -1 (* z (- (* -1 t) (* -1 x)))) (* -1 (/ (+ (* -1 (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))))) (/ (* z (- (+ (* -1/2 (pow x 3)) (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))))) (+ (* -1/2 (pow t 3)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))))) y)) y)))) |
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(/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y))) x) y) |
(/ (- (+ x (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))))) (+ (* -1/2 (/ (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (pow y 3))) (+ (* 1/4 (/ (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2))) (pow y 3))) (* 1/2 (/ (pow x 3) (pow y 2)))))) y) |
(/.f64 (+.f64 x (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/12 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)))) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y))) (-.f64 (/.f64 #s(literal 0 binary64) y) (fma.f64 x (*.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x)))) (*.f64 y (*.f64 y y))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y)) (/.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))))))) y) |
(/ x y) |
(/.f64 x y) |
(* -1 (/ (+ (* -1 x) (* -1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) y)) |
(/.f64 (+.f64 x (/.f64 #s(literal 0 binary64) y)) y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (- (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) (* -1/2 (pow x 3))) y)) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) y)) |
(/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y)) (neg.f64 x)) (neg.f64 y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (+ (* 1/12 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))))) (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (* 1/2 (* x (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))) y)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))) (* -1/2 (pow x 3))) y)) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) y)) |
(/.f64 (-.f64 (neg.f64 x) (/.f64 (/.f64 (fma.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/12 binary64))) (*.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/4 binary64))) (fma.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x #s(literal 1/2 binary64)) #s(literal 0 binary64))) (neg.f64 y))) (neg.f64 y)) y)) (neg.f64 y)) |
| 1× | batch-egg-rewrite |
| 5 094× | lower-*.f32 |
| 5 090× | lower-*.f64 |
| 4 102× | lower-/.f32 |
| 4 098× | lower-/.f64 |
| 2 936× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 48 |
| 0 | 20 | 48 |
| 1 | 99 | 48 |
| 2 | 871 | 48 |
| 0 | 8208 | 47 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
(*.f64 y z) |
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
(tanh.f64 (/.f64 t y)) |
(tanh.f64 (/.f64 x y)) |
| Outputs |
|---|
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(+.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x) |
(+.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) (neg.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) (/.f64 (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x)))) |
(fma.f64 x #s(literal 1 binary64) (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(fma.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x) |
(fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x) |
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x) |
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) (neg.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))))) |
(fma.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y x) |
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) |
(fma.f64 (*.f64 (*.f64 y z) (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)))) x) |
(fma.f64 (*.f64 (*.f64 y z) (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x) |
(fma.f64 (*.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64))) (*.f64 y z)) (/.f64 #s(literal 1 binary64) (fma.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)))) x) |
(fma.f64 (*.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 2 binary64))) (*.f64 y z)) (/.f64 #s(literal 1 binary64) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x) |
(neg.f64 (/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x)) (*.f64 x x))))) |
(neg.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64))) (neg.f64 (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x)) (*.f64 x x)))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)))) (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (fma.f64 x x (*.f64 (neg.f64 (*.f64 x (*.f64 y z))) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (*.f64 x x)))) |
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x)) (*.f64 x x))) |
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (fma.f64 x x (*.f64 (neg.f64 (*.f64 x (*.f64 y z))) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64))) (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x)) (*.f64 x x)))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (fma.f64 x x (*.f64 (neg.f64 (*.f64 x (*.f64 y z))) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) (*.f64 (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)))) (*.f64 (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x)) (*.f64 x x))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) (/.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) (fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) (/.f64 (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) (*.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) (/.f64 (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) (/.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) (/.f64 (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))))) (+.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) (/.f64 (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))))) |
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(*.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 x y))) |
(*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (/.f64 x y)) (cosh.f64 (/.f64 x y)))) |
(*.f64 (expm1.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)))))) |
(*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 (/.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 (/.f64 x y))))) |
(*.f64 (neg.f64 (expm1.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))))))) |
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))))))) |
(tanh.f64 (/.f64 x y)) |
Compiled 22 911 to 1 958 computations (91.5% saved)
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 502 | 10 | 512 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 503 | 10 | 513 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 95.5% | (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x) |
| 42.0% | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (fma.f64 x (/.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 y (*.f64 y y))) (/.f64 x y)))))) | |
| ▶ | 64.5% | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) |
| 57.2% | (+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))) | |
| 36.7% | (+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (*.f64 t (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 t t) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) y)))) (tanh.f64 (/.f64 x y))))) | |
| ▶ | 45.1% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) |
| ▶ | 24.3% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 x (-.f64 (neg.f64 t) (/.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y)) y))) (neg.f64 y))))) |
| 56.5% | (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 z (-.f64 t x)))) | |
| 26.2% | (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 z (+.f64 x (neg.f64 t)) (/.f64 (fma.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (/.f64 z y) (*.f64 z #s(literal 0 binary64))) y))))) | |
| ▶ | 56.5% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)) |
Compiled 500 to 288 computations (42.4% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) |
| ✓ | cost-diff | 0 | (*.f64 y z) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) |
| ✓ | cost-diff | 128 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) |
| ✓ | cost-diff | 128 | (/.f64 (+.f64 x (-.f64 (neg.f64 t) (/.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y)) y))) (neg.f64 y)) |
| ✓ | cost-diff | 128 | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 x (-.f64 (neg.f64 t) (/.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y)) y))) (neg.f64 y))))) |
| ✓ | cost-diff | 384 | (/.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y)) y) |
| ✓ | cost-diff | 1152 | (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) |
| ✓ | cost-diff | 0 | #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) |
| ✓ | cost-diff | 0 | (*.f64 y z) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) |
| ✓ | cost-diff | 128 | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) |
| ✓ | cost-diff | 0 | (-.f64 t x) |
| ✓ | cost-diff | 0 | (fma.f64 z (-.f64 t x) x) |
| ✓ | cost-diff | 0 | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)) |
| ✓ | cost-diff | 0 | (/.f64 t y) |
| ✓ | 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 | (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x) |
| 5 876× | lower-fma.f32 |
| 5 870× | lower-fma.f64 |
| 3 386× | lower-*.f32 |
| 3 364× | lower-*.f64 |
| 1 838× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 601 |
| 0 | 90 | 568 |
| 1 | 198 | 541 |
| 2 | 476 | 480 |
| 3 | 1336 | 474 |
| 4 | 5130 | 474 |
| 0 | 8150 | 461 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x) |
(-.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 |
(*.f64 y z) |
z |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)) |
(fma.f64 z (-.f64 t x) x) |
z |
(-.f64 t x) |
t |
x |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) |
x |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) |
(*.f64 y z) |
y |
z |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) |
(/.f64 (-.f64 t x) y) |
(-.f64 t x) |
t |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 x (-.f64 (neg.f64 t) (/.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y)) y))) (neg.f64 y))))) |
x |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 x (-.f64 (neg.f64 t) (/.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y)) y))) (neg.f64 y)))) |
(*.f64 y z) |
y |
z |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 x (-.f64 (neg.f64 t) (/.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y)) y))) (neg.f64 y))) |
(/.f64 (+.f64 x (-.f64 (neg.f64 t) (/.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y)) y))) (neg.f64 y)) |
(+.f64 x (-.f64 (neg.f64 t) (/.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y)) y))) |
(-.f64 (neg.f64 t) (/.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y)) y)) |
(neg.f64 t) |
t |
(/.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y)) y) |
(/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y)) |
(-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) |
(*.f64 (*.f64 x x) #s(literal -1/2 binary64)) |
(*.f64 x x) |
#s(literal -1/2 binary64) |
(*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64))) |
(*.f64 (*.f64 t t) #s(literal 1/3 binary64)) |
(*.f64 t t) |
#s(literal 1/3 binary64) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)) |
(*.f64 x (*.f64 x x)) |
#s(literal -1/6 binary64) |
(neg.f64 y) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) |
x |
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) |
(*.f64 y z) |
y |
z |
(-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) |
(tanh.f64 (/.f64 t y)) |
(/.f64 t y) |
t |
#s(approx (tanh (/ x y)) (/.f64 x y)) |
(/.f64 x y) |
| Outputs |
|---|
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x) |
(fma.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x) |
(-.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 |
(*.f64 y z) |
z |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)) |
(fma.f64 z (-.f64 t x) x) |
z |
(-.f64 t x) |
t |
x |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) |
(fma.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x) |
x |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) |
(*.f64 y z) |
y |
z |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) |
(/.f64 (-.f64 t x) y) |
(-.f64 t x) |
t |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 x (-.f64 (neg.f64 t) (/.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y)) y))) (neg.f64 y))))) |
(fma.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 t (-.f64 (/.f64 (fma.f64 t (*.f64 t (*.f64 t #s(literal -1/3 binary64))) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/3 binary64))))) (*.f64 y y)) x)) y)) x) |
x |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 x (-.f64 (neg.f64 t) (/.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y)) y))) (neg.f64 y)))) |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 t (-.f64 (/.f64 (fma.f64 t (*.f64 t (*.f64 t #s(literal -1/3 binary64))) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/3 binary64))))) (*.f64 y y)) x)) y))) |
(*.f64 y z) |
y |
z |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 x (-.f64 (neg.f64 t) (/.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y)) y))) (neg.f64 y))) |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 t (-.f64 (/.f64 (fma.f64 t (*.f64 t (*.f64 t #s(literal -1/3 binary64))) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/3 binary64))))) (*.f64 y y)) x)) y)) |
(/.f64 (+.f64 x (-.f64 (neg.f64 t) (/.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y)) y))) (neg.f64 y)) |
(/.f64 (+.f64 t (-.f64 (/.f64 (fma.f64 t (*.f64 t (*.f64 t #s(literal -1/3 binary64))) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/3 binary64))))) (*.f64 y y)) x)) y) |
(+.f64 x (-.f64 (neg.f64 t) (/.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y)) y))) |
(+.f64 (/.f64 (fma.f64 t (*.f64 t (*.f64 t #s(literal 1/3 binary64))) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) (*.f64 y y)) (-.f64 x t)) |
(-.f64 (neg.f64 t) (/.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y)) y)) |
(-.f64 (/.f64 (fma.f64 t (*.f64 t (*.f64 t #s(literal 1/3 binary64))) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) (*.f64 y y)) t) |
(neg.f64 t) |
t |
(/.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y)) y) |
(/.f64 (fma.f64 t (*.f64 t (*.f64 t #s(literal -1/3 binary64))) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/3 binary64))))) (*.f64 y y)) |
(/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y)) |
(/.f64 (fma.f64 t (*.f64 t (*.f64 t #s(literal -1/3 binary64))) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/3 binary64))))) y) |
(-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) |
(fma.f64 t (*.f64 t (*.f64 t #s(literal 1/3 binary64))) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) |
(fma.f64 t (*.f64 t (*.f64 t #s(literal 1/3 binary64))) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) |
(*.f64 (*.f64 x x) #s(literal -1/2 binary64)) |
(*.f64 x (*.f64 x #s(literal -1/2 binary64))) |
(*.f64 x x) |
#s(literal -1/2 binary64) |
(*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64))) |
(*.f64 t (*.f64 t (*.f64 t #s(literal 1/3 binary64)))) |
(*.f64 (*.f64 t t) #s(literal 1/3 binary64)) |
(*.f64 t (*.f64 t #s(literal 1/3 binary64))) |
(*.f64 t t) |
#s(literal 1/3 binary64) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(*.f64 x (*.f64 x x)) |
#s(literal -1/6 binary64) |
(neg.f64 y) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) |
(fma.f64 (*.f64 y 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 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) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) |
| ✓ | accuracy | 100.0% | (tanh.f64 (/.f64 t y)) |
| ✓ | accuracy | 95.5% | (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) |
| ✓ | accuracy | 55.9% | #s(approx (tanh (/ x y)) (/.f64 x y)) |
| ✓ | accuracy | 94.4% | (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y)) |
| ✓ | accuracy | 92.0% | (/.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y)) y) |
| ✓ | accuracy | 77.7% | (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) |
| ✓ | accuracy | 34.3% | #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 x (-.f64 (neg.f64 t) (/.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y)) y))) (neg.f64 y))) |
| ✓ | accuracy | 100.0% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) |
| ✓ | accuracy | 100.0% | (/.f64 (-.f64 t x) y) |
| ✓ | accuracy | 95.5% | (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) |
| ✓ | accuracy | 36.1% | #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) |
| ✓ | accuracy | 100.0% | (-.f64 t x) |
| ✓ | accuracy | 100.0% | (fma.f64 z (-.f64 t x) x) |
| ✓ | accuracy | 56.5% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)) |
| ✓ | accuracy | 100.0% | (*.f64 y z) |
| ✓ | accuracy | 100.0% | (tanh.f64 (/.f64 x y)) |
| ✓ | accuracy | 100.0% | (tanh.f64 (/.f64 t y)) |
| ✓ | accuracy | 95.5% | (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x) |
| 98.0ms | 221× | 0 | valid |
| 24.0ms | 29× | 2 | valid |
| 3.0ms | 6× | 1 | valid |
Compiled 463 to 40 computations (91.4% saved)
ival-mult: 48.0ms (49.8% of total)ival-div: 14.0ms (14.5% of total)const: 12.0ms (12.5% of total)ival-add: 6.0ms (6.2% of total)ival-sub: 5.0ms (5.2% of total)adjust: 5.0ms (5.2% 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 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x)> |
#<alt (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))> |
#<alt (tanh.f64 (/.f64 t y))> |
#<alt (/.f64 t y)> |
#<alt #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x))> |
#<alt (fma.f64 z (-.f64 t x) x)> |
#<alt (-.f64 t x)> |
#<alt (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))> |
#<alt (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))> |
#<alt (*.f64 y z)> |
#<alt #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))> |
#<alt (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)))> |
#<alt (/.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y)) y)> |
#<alt (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 x (-.f64 (neg.f64 t) (/.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y)) y))) (neg.f64 y)))))> |
#<alt (/.f64 (+.f64 x (-.f64 (neg.f64 t) (/.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y)) y))) (neg.f64 y))> |
#<alt (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))))> |
#<alt (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))> |
#<alt (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))> |
#<alt (tanh.f64 (/.f64 x y))> |
#<alt (/.f64 (-.f64 t x) y)> |
#<alt #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 x (-.f64 (neg.f64 t) (/.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y)) y))) (neg.f64 y)))> |
#<alt (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y))> |
#<alt #s(approx (tanh (/ x y)) (/.f64 x y))> |
| Outputs |
|---|
#<alt (+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt x> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* z (- t x)))> |
#<alt (+ x (+ (* z (- t x)) (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y)))> |
#<alt (+ x (+ (* z (- t x)) (+ (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y) (/ (* z (- (+ (* 1/2 (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3))))) (* 1/2 (pow x 3))) (+ (* 1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3))))) (* 1/2 (pow t 3))))) (pow y 2)))))> |
#<alt (+ x (+ (* z (- t x)) (+ (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y) (+ (/ (* z (- (+ (* -1/2 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))))) (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (* 1/2 (+ (* -1 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/6 (pow t 3)))))) (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (* 1/12 (pow t 4)))))))) (+ (* -1/2 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (* -1/2 (pow t 3))))) (+ (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2)))) (* 1/2 (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4)))))))))) (pow y 3)) (/ (* z (- (+ (* 1/2 (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3))))) (* 1/2 (pow x 3))) (+ (* 1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3))))) (* 1/2 (pow t 3))))) (pow y 2))))))> |
#<alt (+ x (* -1 (* z (- (* -1 t) (* -1 x)))))> |
#<alt (+ x (+ (* -1 (* z (- (* -1 t) (* -1 x)))) (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y)))> |
#<alt (+ x (+ (* -1 (* z (- (* -1 t) (* -1 x)))) (* -1 (/ (+ (* -1 (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))))) (/ (* z (- (+ (* -1/2 (pow x 3)) (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))))) (+ (* -1/2 (pow t 3)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))))) y)) y))))> |
#<alt (+ x (+ (* -1 (* z (- (* -1 t) (* -1 x)))) (* -1 (/ (+ (* -1 (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))))) (* -1 (/ (+ (* -1 (* z (- (+ (* -1/2 (pow x 3)) (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))))) (+ (* -1/2 (pow t 3)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))))) (/ (* z (- (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (+ (* 1/2 (* x (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) (* 1/2 (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (+ (* 1/12 (pow t 4)) (* t (+ (* -1/6 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))))))))) (+ (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2)))) (+ (* 1/2 (* t (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))) (* 1/2 (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (+ (* 1/12 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))))))))) y)) y))) y))))> |
#<alt (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))> |
#<alt (+ (* x (+ 1 (* -1 z))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))> |
#<alt (+ (* x (+ 1 (+ (* -1 z) (* 1/3 (/ (* (pow x 2) z) (pow y 2)))))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))> |
#<alt (+ (* x (+ 1 (+ (* -1 z) (* (pow x 2) (+ (* -2/15 (/ (* (pow x 2) z) (pow y 4))) (* 1/3 (/ z (pow y 2)))))))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))> |
#<alt x> |
#<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 (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ 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)))))> |
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#<alt (+ x (* -1 (* z (- (* -1 t) (* -1 x)))))> |
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#<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> |
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#<alt (+ x (* z (- t x)))> |
#<alt (+ x (* z (- t x)))> |
#<alt (* z (- t x))> |
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#<alt (+ x (+ (* -1 (* x z)) (* t z)))> |
#<alt (* t z)> |
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#<alt (* t (+ z (+ (* -1 (/ (* x z) t)) (/ x t))))> |
#<alt (* t z)> |
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#<alt (* -1 (* t (+ (* -1 z) (* -1 (/ (+ x (* -1 (* x z))) t)))))> |
#<alt (* t z)> |
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#<alt t> |
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#<alt t> |
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#<alt (* -1 x)> |
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#<alt (* -1 x)> |
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#<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> |
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#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* z (- t x)))> |
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#<alt (+ 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 (* z (- t x))> |
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#<alt (* -1 (* z (- (* -1 t) (* -1 x))))> |
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#<alt x> |
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#<alt x> |
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#<alt (+ x (* -1 (* z (- (* -1 t) (* -1 x)))))> |
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#<alt x> |
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#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
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#<alt (* -1 (* z (+ (* -1 (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (* -1 (/ x z)))))> |
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#<alt (+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
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#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
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#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
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#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
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#<alt (/ (+ t (* -1/3 (/ (pow t 3) (pow y 2)))) y)> |
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207 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 35.0ms | y | @ | inf | (* y z) |
| 16.0ms | y | @ | inf | (/ (/ (- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6)) (neg y)) y) |
| 8.0ms | t | @ | 0 | (/ (/ (- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6)) (neg y)) y) |
| 2.0ms | y | @ | 0 | (/ (/ (- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6)) (neg y)) y) |
| 1.0ms | x | @ | 0 | (- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6)) |
| 1× | egg-herbie |
| 13 696× | lower-fma.f64 |
| 13 696× | lower-fma.f32 |
| 5 840× | lower-*.f64 |
| 5 840× | lower-*.f32 |
| 4 920× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 731 | 36602 |
| 1 | 2452 | 27560 |
| 0 | 8889 | 26808 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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(* -1 (/ (- (+ (* -1 t) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (pow x 3)) (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))))) (+ (* -1/2 (pow t 3)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))) y)) (* 1/2 (+ (* -1 (pow t 2)) (pow t 2)))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) (* -1 x)) y)) |
(* -1 (/ (- (+ (* -1 t) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (+ (* 1/2 (* x (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) (* 1/2 (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (+ (* 1/12 (pow t 4)) (* t (+ (* -1/6 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))))))))) (+ (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2)))) (+ (* 1/2 (* t (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))) (* 1/2 (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (+ (* 1/12 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))))))))) y)) (+ (* -1/2 (pow x 3)) (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))))) (+ (* -1/2 (pow t 3)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))) y)) (* 1/2 (+ (* -1 (pow t 2)) (pow t 2)))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) (* -1 x)) y)) |
(- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))) |
(- (+ (* -1 (/ x y)) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))) |
(- (+ (* x (- (* 1/3 (/ (pow x 2) (pow y 3))) (/ 1 y))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))) |
(- (+ (* x (- (* (pow x 2) (+ (* -2/15 (/ (pow x 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(* -1/3 (/ (pow t 3) y)) |
(+ (* -1/3 (/ (pow t 3) y)) (* 1/3 (/ (pow x 3) y))) |
(+ (* -1/3 (/ (pow t 3) y)) (* 1/3 (/ (pow x 3) y))) |
(+ (* -1/3 (/ (pow t 3) y)) (* 1/3 (/ (pow x 3) y))) |
(* 1/3 (/ (pow x 3) y)) |
(* (pow x 3) (+ (* -1/3 (/ (pow t 3) (* (pow x 3) y))) (* 1/3 (/ 1 y)))) |
(* (pow x 3) (+ (* -1/3 (/ (pow t 3) (* (pow x 3) y))) (* 1/3 (/ 1 y)))) |
(* (pow x 3) (+ (* -1/3 (/ (pow t 3) (* (pow x 3) y))) (* 1/3 (/ 1 y)))) |
(* 1/3 (/ (pow x 3) y)) |
(* -1 (* (pow x 3) (- (* 1/3 (/ (pow t 3) (* (pow x 3) y))) (* 1/3 (/ 1 y))))) |
(* -1 (* (pow x 3) (- (* 1/3 (/ (pow t 3) (* (pow x 3) y))) (* 1/3 (/ 1 y))))) |
(* -1 (* (pow x 3) (- (* 1/3 (/ (pow t 3) (* (pow x 3) y))) (* 1/3 (/ 1 y))))) |
(* -1 (/ (- (* -1/2 (pow x 3)) (* -1/6 (pow x 3))) y)) |
(+ (* -1 (/ (- (* -1/2 (pow x 3)) (* -1/6 (pow x 3))) y)) (* -1/3 (/ (pow t 3) y))) |
(+ (* -1 (/ (- (* -1/2 (pow x 3)) (* -1/6 (pow x 3))) y)) (* -1/3 (/ (pow t 3) y))) |
(+ (* -1 (/ (- (* -1/2 (pow x 3)) (* -1/6 (pow x 3))) y)) (* -1/3 (/ (pow t 3) y))) |
(* -1/3 (/ (pow t 3) y)) |
(* (pow t 3) (- (* -1 (/ (- (* -1/2 (/ (pow x 3) y)) (* -1/6 (/ (pow x 3) y))) (pow t 3))) (* 1/3 (/ 1 y)))) |
(* (pow t 3) (- (* -1 (/ (- (* -1/2 (/ (pow x 3) y)) (* -1/6 (/ (pow x 3) y))) (pow t 3))) (* 1/3 (/ 1 y)))) |
(* (pow t 3) (- (* -1 (/ (- (* -1/2 (/ (pow x 3) y)) (* -1/6 (/ (pow x 3) y))) (pow t 3))) (* 1/3 (/ 1 y)))) |
(* -1/3 (/ (pow t 3) y)) |
(* -1 (* (pow t 3) (- (+ (* -1/2 (/ (pow x 3) (* (pow t 3) y))) (* 1/3 (/ 1 y))) (* -1/6 (/ (pow x 3) (* (pow t 3) y)))))) |
(* -1 (* (pow t 3) (- (+ (* -1/2 (/ (pow x 3) (* (pow t 3) y))) (* 1/3 (/ 1 y))) (* -1/6 (/ (pow x 3) (* (pow t 3) y)))))) |
(* -1 (* (pow t 3) (- (+ (* -1/2 (/ (pow x 3) (* (pow t 3) y))) (* 1/3 (/ 1 y))) (* -1/6 (/ (pow x 3) (* (pow t 3) y)))))) |
(* -1 (/ (- (+ (* -1/2 (pow x 3)) (* 1/3 (pow t 3))) (* -1/6 (pow x 3))) y)) |
(* -1 (/ (- (+ (* -1/2 (pow x 3)) (* 1/3 (pow t 3))) (* -1/6 (pow x 3))) y)) |
(* -1 (/ (- (+ (* -1/2 (pow x 3)) (* 1/3 (pow t 3))) (* -1/6 (pow x 3))) y)) |
(* -1 (/ (- (+ (* -1/2 (pow x 3)) (* 1/3 (pow t 3))) (* -1/6 (pow x 3))) y)) |
(* -1 (/ (- (+ (* -1/2 (pow x 3)) (* 1/3 (pow t 3))) (* -1/6 (pow x 3))) y)) |
(* -1 (/ (- (+ (* -1/2 (pow x 3)) (* 1/3 (pow t 3))) (* -1/6 (pow x 3))) y)) |
(* -1 (/ (- (+ (* -1/2 (pow x 3)) (* 1/3 (pow t 3))) (* -1/6 (pow x 3))) y)) |
(* -1 (/ (- (+ (* -1/2 (pow x 3)) (* 1/3 (pow t 3))) (* -1/6 (pow x 3))) y)) |
(* -1 (/ (- (+ (* -1/2 (pow x 3)) (* 1/3 (pow t 3))) (* -1/6 (pow x 3))) y)) |
(* -1 (/ (- (+ (* -1/2 (pow x 3)) (* 1/3 (pow t 3))) (* -1/6 (pow x 3))) y)) |
(* -1 (/ (- (+ (* -1/2 (pow x 3)) (* 1/3 (pow t 3))) (* -1/6 (pow x 3))) y)) |
(* -1 (/ (- (+ (* -1/2 (pow x 3)) (* 1/3 (pow t 3))) (* -1/6 (pow x 3))) y)) |
(/ x y) |
(* x (+ (* -1/3 (/ (pow x 2) (pow y 3))) (/ 1 y))) |
(* x (+ (* (pow x 2) (- (* 2/15 (/ (pow x 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) |
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -17/315 (/ (pow x 2) (pow y 7))) (* 2/15 (/ 1 (pow y 5))))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/ x y) |
(/ (+ x (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) y) |
(/ (- (+ x (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)))) (* 1/2 (/ (pow x 3) (pow y 2)))) y) |
(/ (- (+ x (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))))) (+ (* -1/2 (/ (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (pow y 3))) (+ (* 1/4 (/ (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2))) (pow y 3))) (* 1/2 (/ (pow x 3) (pow y 2)))))) y) |
(/ x y) |
(* -1 (/ (+ (* -1 x) (* -1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (- (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) (* -1/2 (pow x 3))) y)) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (+ (* 1/12 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))))) (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (* 1/2 (* x (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))) y)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))) (* -1/2 (pow x 3))) y)) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) y)) |
| Outputs |
|---|
(+ x (* 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 #s(literal -1/3 binary64) (*.f64 t t)) (/.f64 z (*.f64 y y)) z) x)) |
(+ x (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(fma.f64 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) (fma.f64 #s(literal -1/3 binary64) (/.f64 z (*.f64 y y)) (/.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 z (*.f64 t t))) (pow.f64 y #s(literal 4 binary64)))) z) x)) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(fma.f64 (+.f64 (/.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 |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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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(neg.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y)) |
(* -1 (/ (- (+ (* -1/2 (pow x 3)) (* 1/3 (pow t 3))) (* -1/6 (pow x 3))) y)) |
(neg.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) 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 (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y)) (/.f64 #s(literal 0 binary64) y)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y))))) y) |
(/ (- (+ x (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))))) (+ (* -1/2 (/ (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (pow y 3))) (+ (* 1/4 (/ (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2))) (pow y 3))) (* 1/2 (/ (pow x 3) (pow y 2)))))) y) |
(/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 (neg.f64 x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/12 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))))) (*.f64 y (*.f64 y y))) (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y)) (/.f64 #s(literal 0 binary64) y))) x) (fma.f64 x (*.f64 (/.f64 (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (*.f64 y (*.f64 y y))) #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 (neg.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) y)) y)) (neg.f64 y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (+ (* 1/12 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))))) (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (* 1/2 (* x (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))) y)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))) (* -1/2 (pow x 3))) y)) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) y)) |
(/.f64 (-.f64 (neg.f64 x) (/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/12 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))))) #s(literal 0 binary64)) (*.f64 (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (*.f64 x #s(literal -1/2 binary64)))) (neg.f64 y)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64)))) (neg.f64 y)) y)) (neg.f64 y)) |
| 1× | batch-egg-rewrite |
| 4 772× | lower-/.f32 |
| 4 760× | lower-/.f64 |
| 3 818× | lower-*.f32 |
| 3 796× | lower-*.f64 |
| 3 166× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 390 |
| 0 | 90 | 371 |
| 1 | 373 | 353 |
| 2 | 3239 | 353 |
| 0 | 8990 | 338 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x) |
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
(tanh.f64 (/.f64 t y)) |
(/.f64 t y) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)) |
(fma.f64 z (-.f64 t x) x) |
(-.f64 t x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) |
(*.f64 y z) |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) |
(-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) |
(/.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y)) y) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 x (-.f64 (neg.f64 t) (/.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y)) y))) (neg.f64 y))))) |
(/.f64 (+.f64 x (-.f64 (neg.f64 t) (/.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y)) y))) (neg.f64 y)) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) |
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) |
(-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) |
(tanh.f64 (/.f64 x y)) |
(/.f64 (-.f64 t x) y) |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 x (-.f64 (neg.f64 t) (/.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y)) y))) (neg.f64 y))) |
(/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y)) |
#s(approx (tanh (/ x y)) (/.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 (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)))) |
(-.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))))))) |
(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 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) z x) |
(fma.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y x) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64))) (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 (*.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)) (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 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (-.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 (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 x (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x)) (*.f64 x x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64))) (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) (neg.f64 (/.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)) (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) (neg.f64 (/.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 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (-.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 (-.f64 (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x))) |
(/.f64 (-.f64 (*.f64 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 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64))))) |
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(pow.f64 (/.f64 (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
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(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal -2 binary64))))) (/.f64 (exp.f64 (*.f64 (/.f64 t y) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal -2 binary64)))))) |
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y))))) |
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(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64)))) (expm1.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal -2 binary64))))) #s(literal -1 binary64)) |
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))))) |
(*.f64 (expm1.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64)))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal -2 binary64)))))) |
(tanh.f64 (/.f64 t y)) |
(exp.f64 (*.f64 (log.f64 (/.f64 y t)) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 t (neg.f64 y))) |
(neg.f64 (/.f64 t (neg.f64 y))) |
(/.f64 t y) |
(/.f64 (neg.f64 t) (neg.f64 y)) |
(/.f64 #s(literal 1 binary64) (/.f64 y t)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y t) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 y t)))) |
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 y t) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 t)) y) |
(/.f64 (*.f64 t #s(literal 1 binary64)) y) |
(/.f64 (/.f64 (neg.f64 t) #s(literal -1 binary64)) y) |
(/.f64 (-.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 t))) (neg.f64 y)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 t))) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 t #s(literal 1 binary64))) (neg.f64 y)) |
(/.f64 (neg.f64 (/.f64 (neg.f64 t) #s(literal -1 binary64))) (neg.f64 y)) |
(pow.f64 (/.f64 y t) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 y t) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 t (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 #s(literal 1 binary64) (/.f64 t y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) t) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) t) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 t (neg.f64 y))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)) |
(+.f64 x (*.f64 z (-.f64 t x))) |
(+.f64 (*.f64 z (-.f64 t x)) x) |
(-.f64 (/.f64 (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x)))) (-.f64 (*.f64 z (-.f64 t x)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 z (-.f64 t x)) x))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 z (-.f64 t x)))) (/.f64 (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x)))) (-.f64 x (*.f64 z (-.f64 t x))))) |
(fma.f64 z (-.f64 t x) x) |
(fma.f64 (-.f64 t x) z x) |
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(/.f64 (-.f64 (/.f64 (*.f64 (fma.f64 (*.f64 t t) (*.f64 t #s(literal 1/3 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x)))) (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 t (*.f64 t t))) #s(literal 1/9 binary64)))) (neg.f64 (*.f64 y (*.f64 y y)))) (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1/216 binary64)) (*.f64 y (*.f64 y y)))) (fma.f64 (/.f64 (fma.f64 (*.f64 t t) (*.f64 t #s(literal 1/3 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x)))) y) (/.f64 (fma.f64 (*.f64 t t) (*.f64 t #s(literal 1/3 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x)))) y) (fma.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)) y) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)) y) (*.f64 (/.f64 (fma.f64 (*.f64 t t) (*.f64 t #s(literal 1/3 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 y)) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)) y))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (fma.f64 (*.f64 t t) (*.f64 t #s(literal 1/3 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x)))) y) (/.f64 (fma.f64 (*.f64 t t) (*.f64 t #s(literal 1/3 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x)))) y)) (*.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)) y) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)) y))) (+.f64 (/.f64 (fma.f64 (*.f64 t t) (*.f64 t #s(literal 1/3 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 y)) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)) y))) |
(/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 t t) (*.f64 t #s(literal 1/3 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x)))) (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 t (*.f64 t t))) #s(literal 1/9 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1/216 binary64))) (/.f64 #s(literal -1 binary64) y)) (fma.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (fma.f64 (*.f64 t t) (*.f64 t #s(literal 1/3 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x))))) (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 t (*.f64 t t))) #s(literal 1/9 binary64))))) |
(/.f64 (*.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 t (*.f64 t t))) #s(literal 1/9 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64))) (/.f64 #s(literal -1 binary64) y)) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (fma.f64 (*.f64 t t) (*.f64 t #s(literal 1/3 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x)))))) |
(/.f64 (/.f64 (fma.f64 t (*.f64 t (*.f64 t #s(literal 1/3 binary64))) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)))) #s(literal -1 binary64)) y) |
(/.f64 (-.f64 (neg.f64 (fma.f64 (*.f64 t t) (*.f64 t #s(literal 1/3 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64))) y) |
(/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 t t) (*.f64 t #s(literal 1/3 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64))) y) |
(/.f64 (-.f64 (neg.f64 (fma.f64 (*.f64 t t) (*.f64 t #s(literal 1/3 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) y) |
(/.f64 (neg.f64 (-.f64 (*.f64 (fma.f64 (*.f64 t t) (*.f64 t #s(literal 1/3 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 y)) (*.f64 (neg.f64 y) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))) (*.f64 y (neg.f64 y))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 t t) (*.f64 t #s(literal 1/3 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x)))) (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 t (*.f64 t t))) #s(literal 1/9 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1/216 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (fma.f64 (*.f64 t t) (*.f64 t #s(literal 1/3 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x))))) (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 t (*.f64 t t))) #s(literal 1/9 binary64)))) (neg.f64 y)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 t (*.f64 t t))) #s(literal 1/9 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (fma.f64 (*.f64 t t) (*.f64 t #s(literal 1/3 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 y)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 t (*.f64 t (*.f64 t #s(literal 1/3 binary64))) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)))) #s(literal 1 binary64))) y) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 t (*.f64 t (*.f64 t #s(literal 1/3 binary64))) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64))))))) y) |
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (fma.f64 (*.f64 t t) (*.f64 t #s(literal 1/3 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x)))) (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 t (*.f64 t t))) #s(literal 1/9 binary64)))) (neg.f64 (*.f64 y (*.f64 y y)))) (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1/216 binary64)) (*.f64 y (*.f64 y y))))) (neg.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 t t) (*.f64 t #s(literal 1/3 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x)))) y) (/.f64 (fma.f64 (*.f64 t t) (*.f64 t #s(literal 1/3 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x)))) y) (fma.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)) y) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)) y) (*.f64 (/.f64 (fma.f64 (*.f64 t t) (*.f64 t #s(literal 1/3 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 y)) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)) y)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 (fma.f64 (*.f64 t t) (*.f64 t #s(literal 1/3 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x)))) y) (/.f64 (fma.f64 (*.f64 t t) (*.f64 t #s(literal 1/3 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x)))) y)) (*.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)) y) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)) y)))) (neg.f64 (+.f64 (/.f64 (fma.f64 (*.f64 t t) (*.f64 t #s(literal 1/3 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 y)) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)) y)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 t t) (*.f64 t #s(literal 1/3 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x)))) (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 t (*.f64 t t))) #s(literal 1/9 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1/216 binary64))) (/.f64 #s(literal -1 binary64) y))) (neg.f64 (fma.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (fma.f64 (*.f64 t t) (*.f64 t #s(literal 1/3 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x))))) (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 t (*.f64 t t))) #s(literal 1/9 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 t (*.f64 t t))) #s(literal 1/9 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64))) (/.f64 #s(literal -1 binary64) y))) (neg.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (fma.f64 (*.f64 t t) (*.f64 t #s(literal 1/3 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x))))))) |
(/.f64 (neg.f64 (/.f64 (fma.f64 t (*.f64 t (*.f64 t #s(literal 1/3 binary64))) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)))) #s(literal -1 binary64))) (neg.f64 y)) |
(pow.f64 (/.f64 (neg.f64 y) (fma.f64 t (*.f64 t (*.f64 t #s(literal 1/3 binary64))) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (neg.f64 y) (fma.f64 t (*.f64 t (*.f64 t #s(literal 1/3 binary64))) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64))))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 (fma.f64 t (*.f64 t (*.f64 t #s(literal 1/3 binary64))) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)))) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 t (*.f64 t (*.f64 t #s(literal 1/3 binary64))) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)))) (neg.f64 y))) |
(*.f64 (neg.f64 (fma.f64 t (*.f64 t (*.f64 t #s(literal 1/3 binary64))) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64))))) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (fma.f64 t (*.f64 t (*.f64 t #s(literal 1/3 binary64))) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64))))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 t (*.f64 t (*.f64 t #s(literal 1/3 binary64))) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64))))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 t (*.f64 t (*.f64 t #s(literal 1/3 binary64))) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)))) y)) |
(*.f64 (pow.f64 (/.f64 (neg.f64 y) (fma.f64 (fma.f64 (*.f64 t t) (*.f64 t #s(literal 1/3 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x)))) (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 t (*.f64 t t))) #s(literal 1/9 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1/216 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (fma.f64 (*.f64 t t) (*.f64 t #s(literal 1/3 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x))))) (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 t (*.f64 t t))) #s(literal 1/9 binary64)))))) |
(*.f64 (pow.f64 (/.f64 (neg.f64 y) (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 t (*.f64 t t))) #s(literal 1/9 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (fma.f64 (*.f64 t t) (*.f64 t #s(literal 1/3 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x))))))) |
#s(approx (tanh (/ x y)) (/.f64 x y)) |
Compiled 70 507 to 4 249 computations (94% saved)
32 alts after pruning (30 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 664 | 30 | 1 694 |
| Fresh | 5 | 0 | 5 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 672 | 32 | 1 704 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 95.5% | (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x) |
| ▶ | 64.5% | (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x) |
| 42.3% | (fma.f64 (-.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))))) (*.f64 y z) x) | |
| 57.2% | (fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x) | |
| ▶ | 47.9% | (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x) |
| 47.3% | (fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) y x) | |
| 45.1% | (fma.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x) | |
| 14.9% | (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) (-.f64 (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) x) (*.f64 x x)) (fma.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x)) (fma.f64 y (*.f64 (*.f64 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 (*.f64 x x) (*.f64 (*.f64 x (*.f64 y z)) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))))) | |
| 24.5% | (/.f64 (*.f64 (fma.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x) (-.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))) (-.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))) | |
| 28.0% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y))))) | |
| 31.8% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 x (-.f64 (neg.f64 t) #s(approx (/ (/ (- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6)) (neg y)) y) (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) (*.f64 y y))))) (neg.f64 y))))) | |
| 27.2% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x)))))) | |
| 33.4% | (+.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))))) | |
| 40.1% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))) | |
| 45.0% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))))) | |
| 23.9% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 t x))) #s(literal -1 binary64)))))) | |
| 46.2% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))))) | |
| ▶ | 40.6% | (+.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))))))) |
| 21.5% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (+ x (- (neg t) (/ (/ (- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6)) (neg y)) y))) (neg y)) (fma.f64 x (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal -1 binary64) y)) (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) (/.f64 t y))))))) | |
| 27.6% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (+ x (- (neg t) (/ (/ (- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6)) (neg y)) y))) (neg y)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y y)) t) y))))) | |
| 22.5% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (+ x (- (neg t) (/ (/ (- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6)) (neg y)) y))) (neg y)) (/.f64 (+.f64 x (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64))) (*.f64 y y))) (neg.f64 y)))))) | |
| 12.6% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (+ x (- (neg t) (/ (/ (- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6)) (neg y)) y))) (neg y)) (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) (*.f64 y (*.f64 y y))))))) | |
| ▶ | 28.2% | (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 z (-.f64 x t) (/.f64 (fma.f64 z (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y) (*.f64 z #s(literal 0 binary64))) y))))) |
| 40.4% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (+.f64 t x)) x)) | |
| ✓ | 56.5% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)) |
| 22.0% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)) | |
| 40.4% | #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)) | |
| 47.0% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (neg.f64 x)) x)) | |
| 17.3% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 z (-.f64 t x)) (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x)))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 z (-.f64 t x))) (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x)))))))) | |
| 47.4% | #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))) | |
| 29.2% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))) | |
| ▶ | 19.6% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) |
Compiled 1 539 to 747 computations (51.5% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 128 | (neg.f64 (fma.f64 z (-.f64 x t) (/.f64 (fma.f64 z (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y) (*.f64 z #s(literal 0 binary64))) y))) |
| ✓ | cost-diff | 192 | (fma.f64 z (-.f64 x t) (/.f64 (fma.f64 z (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y) (*.f64 z #s(literal 0 binary64))) y)) |
| ✓ | cost-diff | 320 | (*.f64 z #s(literal 0 binary64)) |
| ✓ | cost-diff | 384 | (/.f64 (fma.f64 z (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y) (*.f64 z #s(literal 0 binary64))) y) |
| ✓ | cost-diff | 0 | (*.f64 y z) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 x (+.f64 (/.f64 t (*.f64 x y)) (/.f64 #s(literal -1 binary64) y)))))) |
| ✓ | cost-diff | 128 | (+.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))))))) |
| ✓ | cost-diff | 1344 | (*.f64 x (+.f64 (/.f64 t (*.f64 x y)) (/.f64 #s(literal -1 binary64) y))) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 t x) y) |
| ✓ | cost-diff | 0 | #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) |
| ✓ | cost-diff | 0 | (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z 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 | (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) |
| ✓ | cost-diff | 0 | (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x) |
| 12 690× | lower-fma.f32 |
| 12 680× | lower-fma.f64 |
| 5 244× | lower-+.f32 |
| 5 238× | lower-+.f64 |
| 4 582× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 565 |
| 0 | 96 | 525 |
| 1 | 201 | 511 |
| 2 | 415 | 504 |
| 3 | 961 | 480 |
| 4 | 2841 | 480 |
| 0 | 8201 | 468 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x) |
(-.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 |
(*.f64 y z) |
z |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) |
#s(approx (+ (* z (- t x)) x) (*.f64 z t)) |
(*.f64 z t) |
z |
t |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x) |
(*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) |
(/.f64 (-.f64 t x) y) |
(-.f64 t x) |
t |
x |
y |
z |
(+.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))))))) |
x |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 x (+.f64 (/.f64 t (*.f64 x y)) (/.f64 #s(literal -1 binary64) y)))))) |
(*.f64 y z) |
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 (/ (- t x) y) (*.f64 x (+.f64 (/.f64 t (*.f64 x y)) (/.f64 #s(literal -1 binary64) y)))) |
(*.f64 x (+.f64 (/.f64 t (*.f64 x y)) (/.f64 #s(literal -1 binary64) y))) |
(+.f64 (/.f64 t (*.f64 x y)) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 t (*.f64 x y)) |
t |
(*.f64 x y) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 z (-.f64 x t) (/.f64 (fma.f64 z (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y) (*.f64 z #s(literal 0 binary64))) y))))) |
x |
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 z (-.f64 x t) (/.f64 (fma.f64 z (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y) (*.f64 z #s(literal 0 binary64))) y)))) |
(neg.f64 (fma.f64 z (-.f64 x t) (/.f64 (fma.f64 z (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y) (*.f64 z #s(literal 0 binary64))) y))) |
(fma.f64 z (-.f64 x t) (/.f64 (fma.f64 z (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y) (*.f64 z #s(literal 0 binary64))) y)) |
z |
(-.f64 x t) |
t |
(/.f64 (fma.f64 z (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y) (*.f64 z #s(literal 0 binary64))) y) |
(fma.f64 z (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y) (*.f64 z #s(literal 0 binary64))) |
(/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) |
(*.f64 (*.f64 x x) #s(literal -1/3 binary64)) |
(*.f64 x x) |
#s(literal -1/3 binary64) |
(*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64)) |
(*.f64 t (*.f64 t t)) |
(*.f64 t t) |
#s(literal 1/3 binary64) |
y |
(*.f64 z #s(literal 0 binary64)) |
#s(literal 0 binary64) |
| Outputs |
|---|
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x) |
(fma.f64 y (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) z) x) |
(-.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 |
(*.f64 y z) |
z |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 t z))) |
#s(approx (+ (* z (- t x)) x) (*.f64 z t)) |
#s(approx (+ (* z (- t x)) x) (*.f64 t z)) |
(*.f64 z t) |
(*.f64 t z) |
z |
t |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x) |
(fma.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x) |
(*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) |
(*.f64 y #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) |
(/.f64 (-.f64 t x) y) |
(-.f64 t x) |
t |
x |
y |
z |
(+.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))))))) |
(fma.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (-.f64 t x) y))) x) |
x |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 x (+.f64 (/.f64 t (*.f64 x y)) (/.f64 #s(literal -1 binary64) y)))))) |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (-.f64 t x) y)))) |
(*.f64 y z) |
y |
z |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 x (+.f64 (/.f64 t (*.f64 x y)) (/.f64 #s(literal -1 binary64) y))))) |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (-.f64 t x) y))) |
#s(approx (/ (- t x) y) (*.f64 x (+.f64 (/.f64 t (*.f64 x y)) (/.f64 #s(literal -1 binary64) y)))) |
#s(approx (/ (- t x) y) (/.f64 (-.f64 t x) y)) |
(*.f64 x (+.f64 (/.f64 t (*.f64 x y)) (/.f64 #s(literal -1 binary64) y))) |
(/.f64 (-.f64 t x) y) |
(+.f64 (/.f64 t (*.f64 x y)) (/.f64 #s(literal -1 binary64) y)) |
(+.f64 (/.f64 t (*.f64 y x)) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 t (*.f64 x y)) |
(/.f64 t (*.f64 y x)) |
t |
(*.f64 x y) |
(*.f64 y x) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 z (-.f64 x t) (/.f64 (fma.f64 z (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y) (*.f64 z #s(literal 0 binary64))) y))))) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 z (-.f64 (-.f64 t x) (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 t (*.f64 t (*.f64 t #s(literal 1/3 binary64))))) (*.f64 y y)))))) |
x |
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 z (-.f64 x t) (/.f64 (fma.f64 z (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y) (*.f64 z #s(literal 0 binary64))) y)))) |
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 z (-.f64 (-.f64 t x) (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 t (*.f64 t (*.f64 t #s(literal 1/3 binary64))))) (*.f64 y y))))) |
(neg.f64 (fma.f64 z (-.f64 x t) (/.f64 (fma.f64 z (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y) (*.f64 z #s(literal 0 binary64))) y))) |
(*.f64 z (-.f64 (-.f64 t x) (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 t (*.f64 t (*.f64 t #s(literal 1/3 binary64))))) (*.f64 y y)))) |
(fma.f64 z (-.f64 x t) (/.f64 (fma.f64 z (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y) (*.f64 z #s(literal 0 binary64))) y)) |
(*.f64 z (+.f64 (-.f64 x t) (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 t (*.f64 t (*.f64 t #s(literal 1/3 binary64))))) (*.f64 y y)))) |
z |
(-.f64 x t) |
t |
(/.f64 (fma.f64 z (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y) (*.f64 z #s(literal 0 binary64))) y) |
(*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 t (*.f64 t (*.f64 t #s(literal 1/3 binary64))))) (/.f64 z (*.f64 y y))) |
(fma.f64 z (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y) (*.f64 z #s(literal 0 binary64))) |
(*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 t (*.f64 t (*.f64 t #s(literal 1/3 binary64))))) (/.f64 z y)) |
(/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y) |
(/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 t (*.f64 t (*.f64 t #s(literal 1/3 binary64))))) y) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 t (*.f64 t (*.f64 t #s(literal 1/3 binary64))))) |
(*.f64 (*.f64 x x) #s(literal -1/3 binary64)) |
(*.f64 x x) |
#s(literal -1/3 binary64) |
(*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64)) |
(*.f64 t (*.f64 t (*.f64 t #s(literal 1/3 binary64)))) |
(*.f64 t (*.f64 t t)) |
(*.f64 t t) |
#s(literal 1/3 binary64) |
y |
(*.f64 z #s(literal 0 binary64)) |
#s(literal 0 binary64) |
#s(literal 0 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 95.1% | (/.f64 (fma.f64 z (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y) (*.f64 z #s(literal 0 binary64))) y) |
| ✓ | accuracy | 94.4% | (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y) |
| ✓ | accuracy | 91.8% | (fma.f64 z (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y) (*.f64 z #s(literal 0 binary64))) |
| ✓ | accuracy | 34.7% | #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 z (-.f64 x t) (/.f64 (fma.f64 z (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y) (*.f64 z #s(literal 0 binary64))) y)))) |
| ✓ | accuracy | 95.5% | (*.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)))))) |
| ✓ | accuracy | 94.1% | (/.f64 t (*.f64 x y)) |
| ✓ | accuracy | 89.4% | (*.f64 x (+.f64 (/.f64 t (*.f64 x y)) (/.f64 #s(literal -1 binary64) y))) |
| ✓ | accuracy | 36.1% | #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))))) |
| ✓ | accuracy | 100.0% | (-.f64 t x) |
| ✓ | accuracy | 100.0% | (/.f64 (-.f64 t x) y) |
| ✓ | accuracy | 97.1% | (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) |
| ✓ | accuracy | 36.1% | #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) |
| ✓ | accuracy | 100.0% | (*.f64 z t) |
| ✓ | accuracy | 56.5% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) |
| ✓ | accuracy | 51.6% | #s(approx (+ (* z (- t x)) x) (*.f64 z t)) |
| ✓ | accuracy | 100.0% | (*.f64 y z) |
| ✓ | accuracy | 100.0% | (tanh.f64 (/.f64 t y)) |
| ✓ | accuracy | 95.5% | (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x) |
| ✓ | accuracy | 55.9% | #s(approx (tanh (/ x y)) (/.f64 x y)) |
| 188.0ms | 221× | 0 | valid |
| 24.0ms | 29× | 2 | valid |
| 4.0ms | 6× | 1 | valid |
Compiled 409 to 49 computations (88% saved)
ival-mult: 102.0ms (54.5% of total)ival-div: 38.0ms (20.3% of total)ival-add: 27.0ms (14.4% of total)const: 7.0ms (3.7% of total)adjust: 5.0ms (2.7% of total)ival-sub: 4.0ms (2.1% of total)ival-tanh: 3.0ms (1.6% of total)ival-neg: 1.0ms (0.5% 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 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x)> |
#<alt (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))> |
#<alt (tanh.f64 (/.f64 t y))> |
#<alt (/.f64 t y)> |
#<alt #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t)))> |
#<alt #s(approx (+ (* z (- t x)) x) (*.f64 z t))> |
#<alt (*.f64 z t)> |
#<alt (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x)> |
#<alt (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y)> |
#<alt #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))> |
#<alt (/.f64 (-.f64 t x) y)> |
#<alt (*.f64 x (+.f64 (/.f64 t (*.f64 x y)) (/.f64 #s(literal -1 binary64) y)))> |
#<alt (+.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)))))))> |
#<alt (*.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))))))> |
#<alt (*.f64 y z)> |
#<alt (/.f64 (fma.f64 z (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y) (*.f64 z #s(literal 0 binary64))) y)> |
#<alt (*.f64 z #s(literal 0 binary64))> |
#<alt (fma.f64 z (-.f64 x t) (/.f64 (fma.f64 z (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y) (*.f64 z #s(literal 0 binary64))) y))> |
#<alt (neg.f64 (fma.f64 z (-.f64 x t) (/.f64 (fma.f64 z (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y) (*.f64 z #s(literal 0 binary64))) y)))> |
#<alt #s(approx (tanh (/ x y)) (/.f64 x y))> |
#<alt (-.f64 t x)> |
#<alt #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)))))> |
#<alt (/.f64 t (*.f64 x y))> |
#<alt #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 z (-.f64 x t) (/.f64 (fma.f64 z (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y) (*.f64 z #s(literal 0 binary64))) y))))> |
#<alt (fma.f64 z (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y) (*.f64 z #s(literal 0 binary64)))> |
#<alt (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y)> |
| Outputs |
|---|
#<alt (+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt x> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* z (- t x)))> |
#<alt (+ x (+ (* z (- t x)) (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y)))> |
#<alt (+ x (+ (* z (- t x)) (+ (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y) (/ (* z (- (+ (* 1/2 (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3))))) (* 1/2 (pow x 3))) (+ (* 1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3))))) (* 1/2 (pow t 3))))) (pow y 2)))))> |
#<alt (+ x (+ (* z (- t x)) (+ (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y) (+ (/ (* z (- (+ (* -1/2 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))))) (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (* 1/2 (+ (* -1 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/6 (pow t 3)))))) (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (* 1/12 (pow t 4)))))))) (+ (* -1/2 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (* -1/2 (pow t 3))))) (+ (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2)))) (* 1/2 (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4)))))))))) (pow y 3)) (/ (* z (- (+ (* 1/2 (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3))))) (* 1/2 (pow x 3))) (+ (* 1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3))))) (* 1/2 (pow t 3))))) (pow y 2))))))> |
#<alt (+ x (* -1 (* z (- (* -1 t) (* -1 x)))))> |
#<alt (+ x (+ (* -1 (* z (- (* -1 t) (* -1 x)))) (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y)))> |
#<alt (+ x (+ (* -1 (* z (- (* -1 t) (* -1 x)))) (* -1 (/ (+ (* -1 (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))))) (/ (* z (- (+ (* -1/2 (pow x 3)) (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))))) (+ (* -1/2 (pow t 3)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))))) y)) y))))> |
#<alt (+ x (+ (* -1 (* z (- (* -1 t) (* -1 x)))) (* -1 (/ (+ (* -1 (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))))) (* -1 (/ (+ (* -1 (* z (- (+ (* -1/2 (pow x 3)) (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))))) (+ (* -1/2 (pow t 3)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))))) (/ (* z (- (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (+ (* 1/2 (* x (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) (* 1/2 (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (+ (* 1/12 (pow t 4)) (* t (+ (* -1/6 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))))))))) (+ (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2)))) (+ (* 1/2 (* t (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))) (* 1/2 (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (+ (* 1/12 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))))))))) y)) y))) y))))> |
#<alt (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))> |
#<alt (+ (* x (+ 1 (* -1 z))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))> |
#<alt (+ (* x (+ 1 (+ (* -1 z) (* 1/3 (/ (* (pow x 2) z) (pow y 2)))))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))> |
#<alt (+ (* x (+ 1 (+ (* -1 z) (* (pow x 2) (+ (* -2/15 (/ (* (pow x 2) z) (pow y 4))) (* 1/3 (/ z (pow y 2)))))))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))> |
#<alt x> |
#<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 (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ 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)))> |
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#<alt (+ x (* -1 (* z (- (* -1 t) (* -1 x)))))> |
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#<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> |
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#<alt (+ x (* z (- t 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 (* t z)> |
#<alt (* t z)> |
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#<alt (* t z)> |
#<alt (* t z)> |
#<alt (* t z)> |
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#<alt (* t z)> |
#<alt (* t z)> |
#<alt (* t z)> |
#<alt (* t z)> |
#<alt (* t z)> |
#<alt (+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
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#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
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#<alt x> |
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#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
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#<alt x> |
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#<alt (* z (- t x))> |
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#<alt (* -1 (* z (- (* -1 t) (* -1 x))))> |
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#<alt (+ (* -1 (* z (- (* -1 t) (* -1 x)))) (* -1 (/ (+ (* -1 (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))))) (* -1 (/ (+ (* -1 (* z (- (+ (* -1/2 (pow x 3)) (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))))) (+ (* -1/2 (pow t 3)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))))) (/ (* z (- (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (+ (* 1/2 (* x (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) (* 1/2 (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (+ (* 1/12 (pow t 4)) (* t (+ (* -1/6 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))))))))) (+ (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2)))) (+ (* 1/2 (* t (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))) (* 1/2 (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (+ (* 1/12 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))))))))) y)) y))) y)))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))> |
#<alt (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))> |
#<alt (+ (* -1 (* x z)) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))> |
#<alt (+ (* x (+ (* -1 z) (* 1/3 (/ (* (pow x 2) z) (pow y 2))))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))> |
#<alt (+ (* x (+ (* -1 z) (* (pow x 2) (+ (* -2/15 (/ (* (pow x 2) z) (pow y 4))) (* 1/3 (/ z (pow y 2))))))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (/ (* z (+ (* -1/3 (pow x 3)) (* 1/3 (pow t 3)))) y)> |
#<alt (/ (* z (+ (* -1/3 (pow x 3)) (* 1/3 (pow t 3)))) y)> |
#<alt (/ (* z (+ (* -1/3 (pow x 3)) (* 1/3 (pow t 3)))) y)> |
#<alt (/ (* z (+ (* -1/3 (pow x 3)) (* 1/3 (pow t 3)))) y)> |
#<alt (* z (+ (* -1/3 (/ (pow x 3) y)) (* 1/3 (/ (pow t 3) y))))> |
#<alt (* z (+ (* -1/3 (/ (pow x 3) y)) (* 1/3 (/ (pow t 3) y))))> |
#<alt (* z (+ (* -1/3 (/ (pow x 3) y)) (* 1/3 (/ (pow t 3) y))))> |
#<alt (* z (+ (* -1/3 (/ (pow x 3) y)) (* 1/3 (/ (pow t 3) y))))> |
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#<alt (/ (* z (+ (* -1/3 (pow x 3)) (* 1/3 (pow t 3)))) y)> |
#<alt (* 1/3 (/ (* (pow t 3) z) y))> |
#<alt (+ (* -1/3 (/ (* (pow x 3) z) y)) (* 1/3 (/ (* (pow t 3) z) y)))> |
#<alt (+ (* -1/3 (/ (* (pow x 3) z) y)) (* 1/3 (/ (* (pow t 3) z) y)))> |
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#<alt (* -1 (* (pow x 3) (+ (* -1/3 (/ (* (pow t 3) z) (* (pow x 3) y))) (* 1/3 (/ z y)))))> |
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#<alt (* -1/3 (/ (* (pow x 3) z) y))> |
#<alt (+ (* -1/3 (/ (* (pow x 3) z) y)) (* 1/3 (/ (* (pow t 3) z) y)))> |
#<alt (+ (* -1/3 (/ (* (pow x 3) z) y)) (* 1/3 (/ (* (pow t 3) z) y)))> |
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#<alt (* (pow t 3) (+ (* -1/3 (/ (* (pow x 3) z) (* (pow t 3) y))) (* 1/3 (/ z y))))> |
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#<alt (* -1 (* (pow t 3) (+ (* -1/3 (/ z y)) (* 1/3 (/ (* (pow x 3) z) (* (pow t 3) y))))))> |
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#<alt (/ (* z (+ (* -1/3 (pow x 3)) (* 1/3 (pow t 3)))) y)> |
#<alt (/ (* z (+ (* -1/3 (pow x 3)) (* 1/3 (pow t 3)))) y)> |
#<alt (/ (* z (+ (* -1/3 (pow x 3)) (* 1/3 (pow t 3)))) y)> |
#<alt (/ (* z (+ (* -1/3 (pow x 3)) (* 1/3 (pow t 3)))) y)> |
#<alt (/ (* z (+ (* -1/3 (pow x 3)) (* 1/3 (pow t 3)))) y)> |
#<alt (/ (* z (+ (* -1/3 (pow x 3)) (* 1/3 (pow t 3)))) y)> |
#<alt (/ (* z (+ (* -1/3 (pow x 3)) (* 1/3 (pow t 3)))) y)> |
#<alt (/ (* z (+ (* -1/3 (pow x 3)) (* 1/3 (pow t 3)))) y)> |
#<alt (/ (* z (+ (* -1/3 (pow x 3)) (* 1/3 (pow t 3)))) y)> |
#<alt (/ (* z (+ (* -1/3 (pow x 3)) (* 1/3 (pow t 3)))) y)> |
#<alt (/ (* z (+ (* -1/3 (pow x 3)) (* 1/3 (pow t 3)))) y)> |
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#<alt (* -1 (* (pow x 3) (+ (* -1/3 (/ (pow t 3) (* (pow x 3) y))) (* 1/3 (/ 1 y)))))> |
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#<alt (* (pow t 3) (+ (* -1/3 (/ (pow x 3) (* (pow t 3) y))) (* 1/3 (/ 1 y))))> |
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#<alt (* -1 (* (pow t 3) (- (* 1/3 (/ (pow x 3) (* (pow t 3) y))) (* 1/3 (/ 1 y)))))> |
#<alt (* -1 (* (pow t 3) (- (* 1/3 (/ (pow x 3) (* (pow t 3) y))) (* 1/3 (/ 1 y)))))> |
#<alt (/ (+ (* -1/3 (pow x 3)) (* 1/3 (pow t 3))) y)> |
#<alt (/ (+ (* -1/3 (pow x 3)) (* 1/3 (pow t 3))) y)> |
#<alt (/ (+ (* -1/3 (pow x 3)) (* 1/3 (pow t 3))) y)> |
#<alt (/ (+ (* -1/3 (pow x 3)) (* 1/3 (pow t 3))) y)> |
#<alt (/ (+ (* -1/3 (pow x 3)) (* 1/3 (pow t 3))) y)> |
#<alt (/ (+ (* -1/3 (pow x 3)) (* 1/3 (pow t 3))) y)> |
#<alt (/ (+ (* -1/3 (pow x 3)) (* 1/3 (pow t 3))) y)> |
#<alt (/ (+ (* -1/3 (pow x 3)) (* 1/3 (pow t 3))) y)> |
#<alt (/ (+ (* -1/3 (pow x 3)) (* 1/3 (pow t 3))) y)> |
#<alt (/ (+ (* -1/3 (pow x 3)) (* 1/3 (pow t 3))) y)> |
#<alt (/ (+ (* -1/3 (pow x 3)) (* 1/3 (pow t 3))) y)> |
#<alt (/ (+ (* -1/3 (pow x 3)) (* 1/3 (pow t 3))) y)> |
240 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 54.0ms | t | @ | 0 | (* x (+ (/ t (* x y)) (/ -1 y))) |
| 43.0ms | x | @ | -inf | (+ (* z (/ (+ (* x (* (* x x) -1/3)) (* (* t (* t t)) 1/3)) y)) (* z 0)) |
| 16.0ms | t | @ | -inf | (+ (* z (/ (+ (* x (* (* x x) -1/3)) (* (* t (* t t)) 1/3)) y)) (* z 0)) |
| 3.0ms | x | @ | 0 | (/ (+ (* z (/ (+ (* x (* (* x x) -1/3)) (* (* t (* t t)) 1/3)) y)) (* z 0)) y) |
| 2.0ms | z | @ | 0 | (/ (+ (* z (/ (+ (* x (* (* x x) -1/3)) (* (* t (* t t)) 1/3)) y)) (* z 0)) y) |
| 1× | egg-herbie |
| 14 860× | lower-fma.f64 |
| 14 860× | lower-fma.f32 |
| 5 920× | lower-+.f64 |
| 5 920× | lower-+.f32 |
| 5 794× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 828 | 35440 |
| 1 | 2804 | 27617 |
| 0 | 9523 | 26844 |
| 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)))))))))) |
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(/ (+ (* -1/3 (pow x 3)) (* 1/3 (pow t 3))) y) |
(/ (+ (* -1/3 (pow x 3)) (* 1/3 (pow t 3))) y) |
(/ (+ (* -1/3 (pow x 3)) (* 1/3 (pow t 3))) y) |
(/ (+ (* -1/3 (pow x 3)) (* 1/3 (pow t 3))) y) |
(/ (+ (* -1/3 (pow x 3)) (* 1/3 (pow t 3))) y) |
(/ (+ (* -1/3 (pow x 3)) (* 1/3 (pow t 3))) y) |
(/ (+ (* -1/3 (pow x 3)) (* 1/3 (pow t 3))) y) |
(/ (+ (* -1/3 (pow x 3)) (* 1/3 (pow t 3))) y) |
(/ (+ (* -1/3 (pow x 3)) (* 1/3 (pow t 3))) y) |
(/ (+ (* -1/3 (pow x 3)) (* 1/3 (pow t 3))) y) |
| Outputs |
|---|
(+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(fma.f64 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 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) (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 y z) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))))) x) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(fma.f64 (*.f64 y z) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))))) x) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(fma.f64 (*.f64 y z) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))))) x) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(fma.f64 (*.f64 y z) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))))) x) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(fma.f64 (*.f64 y z) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))))) x) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(fma.f64 (*.f64 y z) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))))) x) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(fma.f64 (*.f64 y z) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))))) x) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(fma.f64 (*.f64 y z) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))))) x) |
x |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(fma.f64 (*.f64 y z) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))))) x) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(fma.f64 (*.f64 y z) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))))) x) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(fma.f64 (*.f64 y z) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))))) x) |
(+ x (* z (- t x))) |
(fma.f64 z (-.f64 t x) x) |
(+ x (+ (* z (- t x)) (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y))) |
(fma.f64 z (+.f64 t (-.f64 (/.f64 #s(literal 0 binary64) y) x)) x) |
(+ x (+ (* z (- t x)) (+ (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y) (/ (* z (- (+ (* 1/2 (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3))))) (* 1/2 (pow x 3))) (+ (* 1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3))))) (* 1/2 (pow t 3))))) (pow y 2))))) |
(fma.f64 z (+.f64 t (-.f64 (/.f64 #s(literal 0 binary64) y) x)) (fma.f64 z (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)) (*.f64 t (*.f64 t t))))) (*.f64 y y)) x)) |
(+ x (+ (* z (- t x)) (+ (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y) (+ (/ (* z (- (+ (* -1/2 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))))) (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (* 1/2 (+ (* -1 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/6 (pow t 3)))))) (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (* 1/12 (pow t 4)))))))) (+ (* -1/2 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (* -1/2 (pow t 3))))) (+ (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2)))) (* 1/2 (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4)))))))))) (pow y 3)) (/ (* z (- (+ (* 1/2 (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3))))) (* 1/2 (pow x 3))) (+ (* 1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3))))) (* 1/2 (pow t 3))))) (pow y 2)))))) |
(fma.f64 z (+.f64 t (-.f64 (/.f64 #s(literal 0 binary64) y) x)) (fma.f64 z (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)) (*.f64 t (*.f64 t t))))) (*.f64 y y)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 t t) (*.f64 t t)) #s(literal -1/12 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal -1/2 binary64)))))) (*.f64 t (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/6 binary64)))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 t (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal -1/2 binary64))))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/12 binary64))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)))) #s(literal 0 binary64)))))) (*.f64 y (*.f64 y y)))) x)) |
(+ x (* -1 (* z (- (* -1 t) (* -1 x))))) |
(fma.f64 z (-.f64 t x) x) |
(+ x (+ (* -1 (* z (- (* -1 t) (* -1 x)))) (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y))) |
(fma.f64 z (+.f64 t (-.f64 (/.f64 #s(literal 0 binary64) y) x)) x) |
(+ x (+ (* -1 (* z (- (* -1 t) (* -1 x)))) (* -1 (/ (+ (* -1 (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))))) (/ (* z (- (+ (* -1/2 (pow x 3)) (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))))) (+ (* -1/2 (pow t 3)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))))) y)) y)))) |
(-.f64 (fma.f64 z (-.f64 t x) x) (/.f64 (fma.f64 z (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) y) (*.f64 z #s(literal 0 binary64))) y)) |
(+ x (+ (* -1 (* z (- (* -1 t) (* -1 x)))) (* -1 (/ (+ (* -1 (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))))) (* -1 (/ (+ (* -1 (* z (- (+ (* -1/2 (pow x 3)) (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))))) (+ (* -1/2 (pow t 3)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))))) (/ (* z (- (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (+ (* 1/2 (* x (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) (* 1/2 (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (+ (* 1/12 (pow t 4)) (* t (+ (* -1/6 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))))))))) (+ (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2)))) (+ (* 1/2 (* t (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))) (* 1/2 (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (+ (* 1/12 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))))))))) y)) y))) y)))) |
(-.f64 (fma.f64 z (-.f64 t x) x) (/.f64 (-.f64 (*.f64 z #s(literal 0 binary64)) (/.f64 (fma.f64 z (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (fma.f64 (*.f64 (*.f64 t t) (*.f64 t t)) #s(literal -1/12 binary64) (fma.f64 t (*.f64 (*.f64 #s(literal -1/6 binary64) t) (*.f64 t t)) (*.f64 #s(literal -1/2 binary64) (*.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal -1/2 binary64)))))))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 t (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal -1/2 binary64)))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/12 binary64) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))))))) #s(literal 0 binary64)))) y) (*.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 z))) y)) y)) |
(* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))) |
(*.f64 (*.f64 y z) (/.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)))))) |
(+ (* 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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(+ (* -1/3 (/ (pow x 3) y)) (* 1/3 (/ (pow t 3) y))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 x (*.f64 x x)) y) (/.f64 (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64)) y)) |
(+ (* -1/3 (/ (pow x 3) y)) (* 1/3 (/ (pow t 3) y))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 x (*.f64 x x)) y) (/.f64 (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64)) y)) |
(* -1/3 (/ (pow x 3) y)) |
(/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) y) |
(* (pow x 3) (- (* 1/3 (/ (pow t 3) (* (pow x 3) y))) (* 1/3 (/ 1 y)))) |
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/3 binary64) y))) |
(* (pow x 3) (- (* 1/3 (/ (pow t 3) (* (pow x 3) y))) (* 1/3 (/ 1 y)))) |
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/3 binary64) y))) |
(* (pow x 3) (- (* 1/3 (/ (pow t 3) (* (pow x 3) y))) (* 1/3 (/ 1 y)))) |
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/3 binary64) y))) |
(* -1/3 (/ (pow x 3) y)) |
(/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) y) |
(* -1 (* (pow x 3) (+ (* -1/3 (/ (pow t 3) (* (pow x 3) y))) (* 1/3 (/ 1 y))))) |
(neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/3 binary64) y)))) |
(* -1 (* (pow x 3) (+ (* -1/3 (/ (pow t 3) (* (pow x 3) y))) (* 1/3 (/ 1 y))))) |
(neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/3 binary64) y)))) |
(* -1 (* (pow x 3) (+ (* -1/3 (/ (pow t 3) (* (pow x 3) y))) (* 1/3 (/ 1 y))))) |
(neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/3 binary64) y)))) |
(* -1/3 (/ (pow x 3) y)) |
(/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) y) |
(+ (* -1/3 (/ (pow x 3) y)) (* 1/3 (/ (pow t 3) y))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 x (*.f64 x x)) y) (/.f64 (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64)) y)) |
(+ (* -1/3 (/ (pow x 3) y)) (* 1/3 (/ (pow t 3) y))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 x (*.f64 x x)) y) (/.f64 (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64)) y)) |
(+ (* -1/3 (/ (pow x 3) y)) (* 1/3 (/ (pow t 3) y))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 x (*.f64 x x)) y) (/.f64 (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64)) y)) |
(* 1/3 (/ (pow t 3) y)) |
(/.f64 (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64)) y) |
(* (pow t 3) (+ (* -1/3 (/ (pow x 3) (* (pow t 3) y))) (* 1/3 (/ 1 y)))) |
(*.f64 (*.f64 t (*.f64 t t)) (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 t (*.f64 t t)))) (/.f64 #s(literal 1/3 binary64) y))) |
(* (pow t 3) (+ (* -1/3 (/ (pow x 3) (* (pow t 3) y))) (* 1/3 (/ 1 y)))) |
(*.f64 (*.f64 t (*.f64 t t)) (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 t (*.f64 t t)))) (/.f64 #s(literal 1/3 binary64) y))) |
(* (pow t 3) (+ (* -1/3 (/ (pow x 3) (* (pow t 3) y))) (* 1/3 (/ 1 y)))) |
(*.f64 (*.f64 t (*.f64 t t)) (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 t (*.f64 t t)))) (/.f64 #s(literal 1/3 binary64) y))) |
(* 1/3 (/ (pow t 3) y)) |
(/.f64 (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64)) y) |
(* -1 (* (pow t 3) (- (* 1/3 (/ (pow x 3) (* (pow t 3) y))) (* 1/3 (/ 1 y))))) |
(*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 t (*.f64 t t)))) (/.f64 #s(literal -1/3 binary64) y)) (neg.f64 (*.f64 t (*.f64 t t)))) |
(* -1 (* (pow t 3) (- (* 1/3 (/ (pow x 3) (* (pow t 3) y))) (* 1/3 (/ 1 y))))) |
(*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 t (*.f64 t t)))) (/.f64 #s(literal -1/3 binary64) y)) (neg.f64 (*.f64 t (*.f64 t t)))) |
(* -1 (* (pow t 3) (- (* 1/3 (/ (pow x 3) (* (pow t 3) y))) (* 1/3 (/ 1 y))))) |
(*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 t (*.f64 t t)))) (/.f64 #s(literal -1/3 binary64) y)) (neg.f64 (*.f64 t (*.f64 t t)))) |
(/ (+ (* -1/3 (pow x 3)) (* 1/3 (pow t 3))) y) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 t t)) t (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)) y) |
(/ (+ (* -1/3 (pow x 3)) (* 1/3 (pow t 3))) y) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 t t)) t (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)) y) |
(/ (+ (* -1/3 (pow x 3)) (* 1/3 (pow t 3))) y) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 t t)) t (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)) y) |
(/ (+ (* -1/3 (pow x 3)) (* 1/3 (pow t 3))) y) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 t t)) t (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)) y) |
(/ (+ (* -1/3 (pow x 3)) (* 1/3 (pow t 3))) y) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 t t)) t (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)) y) |
(/ (+ (* -1/3 (pow x 3)) (* 1/3 (pow t 3))) y) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 t t)) t (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)) y) |
(/ (+ (* -1/3 (pow x 3)) (* 1/3 (pow t 3))) y) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 t t)) t (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)) y) |
(/ (+ (* -1/3 (pow x 3)) (* 1/3 (pow t 3))) y) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 t t)) t (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)) y) |
(/ (+ (* -1/3 (pow x 3)) (* 1/3 (pow t 3))) y) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 t t)) t (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)) y) |
(/ (+ (* -1/3 (pow x 3)) (* 1/3 (pow t 3))) y) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 t t)) t (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)) y) |
(/ (+ (* -1/3 (pow x 3)) (* 1/3 (pow t 3))) y) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 t t)) t (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)) y) |
(/ (+ (* -1/3 (pow x 3)) (* 1/3 (pow t 3))) y) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 t t)) t (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)) y) |
| 1× | batch-egg-rewrite |
| 4 156× | lower-/.f32 |
| 4 142× | lower-/.f64 |
| 3 892× | lower-*.f32 |
| 3 870× | lower-*.f64 |
| 3 120× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 420 |
| 0 | 94 | 396 |
| 1 | 383 | 385 |
| 2 | 3351 | 385 |
| 0 | 8456 | 375 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x) |
(-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) |
(tanh.f64 (/.f64 t y)) |
(/.f64 t y) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) |
#s(approx (+ (* z (- t x)) x) (*.f64 z t)) |
(*.f64 z t) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x) |
(*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) |
(/.f64 (-.f64 t x) y) |
(*.f64 x (+.f64 (/.f64 t (*.f64 x y)) (/.f64 #s(literal -1 binary64) y))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 x (+.f64 (/.f64 t (*.f64 x y)) (/.f64 #s(literal -1 binary64) y))))))) |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 x (+.f64 (/.f64 t (*.f64 x y)) (/.f64 #s(literal -1 binary64) y)))))) |
(*.f64 y z) |
(/.f64 (fma.f64 z (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y) (*.f64 z #s(literal 0 binary64))) y) |
(*.f64 z #s(literal 0 binary64)) |
(fma.f64 z (-.f64 x t) (/.f64 (fma.f64 z (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y) (*.f64 z #s(literal 0 binary64))) y)) |
(neg.f64 (fma.f64 z (-.f64 x t) (/.f64 (fma.f64 z (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y) (*.f64 z #s(literal 0 binary64))) y))) |
#s(approx (tanh (/ x y)) (/.f64 x y)) |
(-.f64 t x) |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 x (+.f64 (/.f64 t (*.f64 x y)) (/.f64 #s(literal -1 binary64) y))))) |
(/.f64 t (*.f64 x y)) |
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 z (-.f64 x t) (/.f64 (fma.f64 z (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y) (*.f64 z #s(literal 0 binary64))) y)))) |
(fma.f64 z (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y) (*.f64 z #s(literal 0 binary64))) |
(/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y) |
| 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 z (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) x) |
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 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 y (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) z x) |
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) z) y 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 #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 (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)) |
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(/.f64 (neg.f64 (neg.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))))))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 t t)))) #s(literal 1/27 binary64) (*.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))))) (neg.f64 (*.f64 y (fma.f64 (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64))) (-.f64 (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64))) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/9 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/9 binary64)) (*.f64 (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 t t))) #s(literal 1/9 binary64)))) (neg.f64 (*.f64 y (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))) (*.f64 #s(literal -1/3 binary64) (*.f64 t (*.f64 t t))))))) |
(/.f64 (fma.f64 (/.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) y) (*.f64 (/.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) y) (/.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) y)) #s(literal 0 binary64)) (fma.f64 (/.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) y) (/.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) y) #s(literal 0 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) y) (/.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) y)) #s(literal 0 binary64)) (-.f64 (/.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) y) #s(literal 0 binary64))) |
(/.f64 (*.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) #s(literal 1 binary64)) y) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 t t)))) #s(literal 1/27 binary64) (*.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) y)) (fma.f64 (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64))) (-.f64 (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64))) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/9 binary64)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/9 binary64)) (*.f64 (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 t t))) #s(literal 1/9 binary64))) (/.f64 #s(literal 1 binary64) y)) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))) (*.f64 #s(literal -1/3 binary64) (*.f64 t (*.f64 t t))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 t t)))) #s(literal 1/27 binary64) (*.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64))) (-.f64 (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64))) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/9 binary64))) y))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/9 binary64)) (*.f64 (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 t t))) #s(literal 1/9 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))) (*.f64 #s(literal -1/3 binary64) (*.f64 t (*.f64 t t)))) y))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))))) (neg.f64 (neg.f64 (neg.f64 y)))) |
(/.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) y) (*.f64 (/.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) y) (/.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) y)) #s(literal 0 binary64))) (neg.f64 (fma.f64 (/.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) y) (/.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) y) #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) y) (/.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) y)) #s(literal 0 binary64))) (neg.f64 (-.f64 (/.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) y) #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) #s(literal 1 binary64))) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 t t)))) #s(literal 1/27 binary64) (*.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) y))) (neg.f64 (fma.f64 (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64))) (-.f64 (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64))) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/9 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/9 binary64)) (*.f64 (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 t t))) #s(literal 1/9 binary64))) (/.f64 #s(literal 1 binary64) y))) (neg.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))) (*.f64 #s(literal -1/3 binary64) (*.f64 t (*.f64 t t)))))) |
(pow.f64 (/.f64 y (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 y (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) y)) |
(*.f64 (neg.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 y (fma.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 t t)))) #s(literal 1/27 binary64) (*.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64))) (-.f64 (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64))) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/9 binary64))))) |
(*.f64 (pow.f64 (/.f64 y (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/9 binary64)) (*.f64 (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 t t))) #s(literal 1/9 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))) (*.f64 #s(literal -1/3 binary64) (*.f64 t (*.f64 t t)))))) |
Compiled 57 505 to 3 192 computations (94.4% saved)
37 alts after pruning (33 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 483 | 15 | 1 498 |
| Fresh | 7 | 18 | 25 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 493 | 37 | 1 530 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 95.5% | (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x) |
| ✓ | 64.5% | (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x) |
| 42.3% | (fma.f64 (-.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))))) (*.f64 y z) x) | |
| ▶ | 57.2% | (fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x) |
| 28.9% | (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y))) y) z x) | |
| 47.3% | (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) z) y x) | |
| 29.3% | (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x)))) y) z x) | |
| 35.4% | (fma.f64 (*.f64 #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))) y) z x) | |
| 25.7% | (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 t x))) #s(literal -1 binary64)))) y) z x) | |
| 43.3% | (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (fma.f64 x (/.f64 t (*.f64 y x)) (neg.f64 (/.f64 x y))))) y) z x) | |
| 48.1% | (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) y) z x) | |
| 45.1% | (fma.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x) | |
| 14.9% | (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) (-.f64 (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) x) (*.f64 x x)) (fma.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x)) (fma.f64 y (*.f64 (*.f64 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 (*.f64 x x) (*.f64 (*.f64 x (*.f64 y z)) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))))) | |
| 28.0% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y))))) | |
| ▶ | 27.2% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x)))))) |
| ▶ | 40.1% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))) |
| 45.0% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))))) | |
| 23.9% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 t x))) #s(literal -1 binary64)))))) | |
| 46.2% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))))) | |
| 42.2% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 x (+.f64 (/.f64 (/.f64 t x) y) (/.f64 #s(literal -1 binary64) y))))))) | |
| 21.5% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (+ x (- (neg t) (/ (/ (- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6)) (neg y)) y))) (neg y)) (fma.f64 x (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal -1 binary64) y)) (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) (/.f64 t y))))))) | |
| 37.6% | (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 z (-.f64 x t) (/.f64 (fma.f64 z #s(approx (/ (+ (* x (* (* x x) -1/3)) (* (* t (* t t)) 1/3)) y) (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) y)) (*.f64 z #s(literal 0 binary64))) y))))) | |
| 36.8% | (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 z (-.f64 x t) (/.f64 #s(approx (+ (* z (/ (+ (* x (* (* x x) -1/3)) (* (* t (* t t)) 1/3)) y)) (* z 0)) (*.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 z (*.f64 x (*.f64 x x))) y))) y))))) | |
| 34.0% | (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 z (-.f64 x t) #s(approx (/ (+ (* z (/ (+ (* x (* (* x x) -1/3)) (* (* t (* t t)) 1/3)) y)) (* z 0)) y) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) z) (*.f64 y y))))))) | |
| 21.1% | (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 #s(approx (+ (* z (- x t)) (/ (+ (* z (/ (+ (* x (* (* x x) -1/3)) (* (* t (* t t)) 1/3)) y)) (* z 0)) y)) (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 z (*.f64 x (*.f64 x x))) (*.f64 y y)) (*.f64 x z)))))) | |
| 36.0% | (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* z (- x t)) (/ (+ (* z (/ (+ (* x (* (* x x) -1/3)) (* (* t (* t t)) 1/3)) y)) (* z 0)) y))) (fma.f64 z (-.f64 t x) (*.f64 (*.f64 t (*.f64 t t)) (/.f64 (*.f64 #s(literal -1/3 binary64) z) (*.f64 y y))))))) | |
| 15.5% | (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* z (- x t)) (/ (+ (* z (/ (+ (* x (* (* x x) -1/3)) (* (* t (* t t)) 1/3)) y)) (* z 0)) y))) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 z (*.f64 x (*.f64 x x)))) (*.f64 y y))))) | |
| 40.4% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (+.f64 t x)) x)) | |
| ✓ | 56.5% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)) |
| ▶ | 22.0% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)) |
| 40.4% | #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)) | |
| 47.0% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (neg.f64 x)) x)) | |
| 17.3% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 z (-.f64 t x)) (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x)))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 z (-.f64 t x))) (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x)))))))) | |
| 52.0% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (fma.f64 x (-.f64 (/.f64 (*.f64 z t) x) z) x))) | |
| 47.4% | #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))) | |
| ▶ | 29.2% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))) |
| ✓ | 19.6% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) |
Compiled 1 648 to 818 computations (50.4% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) |
| ✓ | cost-diff | 0 | (fma.f64 z (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x) |
| ✓ | cost-diff | 0 | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)) |
| ✓ | cost-diff | 3136 | (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) |
| ✓ | cost-diff | 0 | (*.f64 y z) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x))))) |
| ✓ | cost-diff | 128 | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x)))))) |
| ✓ | cost-diff | 1024 | (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x))) |
| ✓ | cost-diff | 0 | #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)) |
| ✓ | cost-diff | 0 | (*.f64 y z) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))) |
| ✓ | cost-diff | 128 | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))) |
| ✓ | cost-diff | 0 | (-.f64 t x) |
| ✓ | cost-diff | 0 | (*.f64 z (-.f64 t x)) |
| ✓ | cost-diff | 0 | #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x))) |
| ✓ | cost-diff | 0 | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))) |
| ✓ | cost-diff | 0 | (/.f64 t y) |
| ✓ | cost-diff | 0 | #s(approx (tanh (/ t y)) (/.f64 t y)) |
| ✓ | cost-diff | 0 | (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
| ✓ | cost-diff | 0 | (fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x) |
| 10 034× | lower-fma.f32 |
| 10 028× | lower-fma.f64 |
| 4 246× | lower-*.f32 |
| 4 228× | lower-*.f64 |
| 3 640× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 448 |
| 0 | 75 | 409 |
| 1 | 170 | 407 |
| 2 | 403 | 354 |
| 3 | 1218 | 354 |
| 4 | 4043 | 354 |
| 5 | 7698 | 354 |
| 0 | 9367 | 350 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x) |
(-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
#s(approx (tanh (/ t y)) (/.f64 t y)) |
(/.f64 t y) |
t |
y |
(tanh.f64 (/.f64 x y)) |
(/.f64 x y) |
x |
(*.f64 y z) |
z |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))) |
#s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x))) |
(*.f64 z (-.f64 t x)) |
z |
(-.f64 t x) |
t |
x |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))) |
x |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))) |
(*.f64 y z) |
y |
z |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)) |
(/.f64 #s(approx (- t x) (neg.f64 x)) y) |
#s(approx (- t x) (neg.f64 x)) |
(neg.f64 x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x)))))) |
x |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x))))) |
(*.f64 y z) |
y |
z |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x)))) |
(/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x))) |
(*.f64 (+.f64 t x) (-.f64 t x)) |
(+.f64 t x) |
t |
(-.f64 t x) |
(*.f64 y (+.f64 t x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)) |
(fma.f64 z (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x) |
z |
(*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) |
(*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) |
(fma.f64 t t (*.f64 x (+.f64 t x))) |
t |
(*.f64 x (+.f64 t x)) |
x |
(+.f64 t x) |
(-.f64 t x) |
(/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))) |
#s(literal 1 binary64) |
| Outputs |
|---|
(fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x) |
(fma.f64 y (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) x) |
(-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
#s(approx (tanh (/ t y)) (/.f64 t y)) |
(/.f64 t y) |
t |
y |
(tanh.f64 (/.f64 x y)) |
(/.f64 x y) |
x |
(*.f64 y z) |
z |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))) |
#s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x))) |
(*.f64 z (-.f64 t x)) |
z |
(-.f64 t x) |
t |
x |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))) |
(fma.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)) x) |
x |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))) |
(*.f64 y z) |
y |
z |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)) |
(/.f64 #s(approx (- t x) (neg.f64 x)) y) |
#s(approx (- t x) (neg.f64 x)) |
(neg.f64 x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x)))))) |
(fma.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x) |
x |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x))))) |
(*.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 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x)))) |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) |
(/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x))) |
(/.f64 (-.f64 t x) y) |
(*.f64 (+.f64 t x) (-.f64 t x)) |
(*.f64 (-.f64 t x) (+.f64 t x)) |
(+.f64 t x) |
t |
(-.f64 t x) |
(*.f64 y (+.f64 t x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)) |
(fma.f64 z (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x) |
(fma.f64 z (-.f64 t x) x) |
z |
(*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) |
(-.f64 t x) |
(*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) |
(*.f64 (-.f64 t x) (fma.f64 t t (*.f64 x (+.f64 t x)))) |
(fma.f64 t t (*.f64 x (+.f64 t x))) |
t |
(*.f64 x (+.f64 t x)) |
x |
(+.f64 t x) |
(-.f64 t x) |
(/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))) |
#s(literal 1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.2% | (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))) |
| ✓ | accuracy | 97.3% | (fma.f64 t t (*.f64 x (+.f64 t x))) |
| ✓ | accuracy | 56.5% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)) |
| ✓ | accuracy | 35.2% | (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) |
| ✓ | accuracy | 100.0% | (*.f64 y (+.f64 t x)) |
| ✓ | accuracy | 95.5% | (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x))))) |
| ✓ | accuracy | 64.7% | (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x))) |
| ✓ | accuracy | 36.1% | #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x)))) |
| ✓ | accuracy | 100.0% | (/.f64 #s(approx (- t x) (neg.f64 x)) y) |
| ✓ | accuracy | 95.5% | (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))) |
| ✓ | accuracy | 43.8% | #s(approx (- t x) (neg.f64 x)) |
| ✓ | accuracy | 36.1% | #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)) |
| ✓ | accuracy | 100.0% | (-.f64 t x) |
| ✓ | accuracy | 100.0% | (*.f64 z (-.f64 t x)) |
| ✓ | accuracy | 72.2% | #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x))) |
| ✓ | accuracy | 56.5% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))) |
| ✓ | accuracy | 100.0% | (*.f64 y z) |
| ✓ | accuracy | 100.0% | (tanh.f64 (/.f64 x y)) |
| ✓ | accuracy | 95.5% | (fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x) |
| ✓ | accuracy | 50.0% | #s(approx (tanh (/ t y)) (/.f64 t y)) |
| 69.0ms | 221× | 0 | valid |
| 20.0ms | 29× | 2 | valid |
| 3.0ms | 6× | 1 | valid |
Compiled 325 to 34 computations (89.5% saved)
ival-mult: 34.0ms (54.4% of total)ival-div: 10.0ms (16% of total)ival-add: 8.0ms (12.8% of total)ival-sub: 3.0ms (4.8% of total)adjust: 3.0ms (4.8% of total)ival-tanh: 3.0ms (4.8% of total)ival-neg: 1.0ms (1.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x)> |
#<alt (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))> |
#<alt #s(approx (tanh (/ t y)) (/.f64 t y))> |
#<alt (/.f64 t y)> |
#<alt #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x))))> |
#<alt #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))> |
#<alt (*.f64 z (-.f64 t x))> |
#<alt (-.f64 t x)> |
#<alt (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))))> |
#<alt (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))> |
#<alt (*.f64 y z)> |
#<alt #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))> |
#<alt (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x)))> |
#<alt (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x))))))> |
#<alt (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x)))))> |
#<alt (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))))> |
#<alt #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x))> |
#<alt (fma.f64 z (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)> |
#<alt (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x))> |
#<alt (tanh.f64 (/.f64 x y))> |
#<alt #s(approx (- t x) (neg.f64 x))> |
#<alt (/.f64 #s(approx (- t x) (neg.f64 x)) y)> |
#<alt #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x))))> |
#<alt (*.f64 y (+.f64 t x))> |
#<alt (fma.f64 t t (*.f64 x (+.f64 t x)))> |
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 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))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* z (- t x)))> |
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#<alt (* z (- t x))> |
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#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))> |
#<alt (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))> |
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#<alt (+ (* x (+ (* -1 z) (* (pow x 2) (+ (* -2/15 (/ (* (pow x 2) z) (pow y 4))) (* 1/3 (/ z (pow y 2))))))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* -1 x)> |
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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))))))))))> |
#<alt (+ x (* z (- t x)))> |
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#<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 x> |
#<alt (+ x (* z (- t x)))> |
#<alt (+ x (* z (- t x)))> |
#<alt (+ x (* z (- t x)))> |
#<alt (* z (- t x))> |
#<alt (* z (- (+ t (/ x z)) x))> |
#<alt (* z (- (+ t (/ x z)) x))> |
#<alt (* z (- (+ t (/ x z)) x))> |
#<alt (* z (- t x))> |
#<alt (* -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 (+ x (* -1 (* x z)))> |
#<alt (+ x (+ (* -1 (* x z)) (* t z)))> |
#<alt (+ x (+ (* -1 (* x z)) (* t z)))> |
#<alt (+ x (+ (* -1 (* x z)) (* t z)))> |
#<alt (* t z)> |
#<alt (* t (+ z (+ (* -1 (/ (* x z) t)) (/ x t))))> |
#<alt (* t (+ z (+ (* -1 (/ (* x z) t)) (/ x t))))> |
#<alt (* t (+ z (+ (* -1 (/ (* x z) t)) (/ x t))))> |
#<alt (* t z)> |
#<alt (* -1 (* t (+ (* -1 z) (* -1 (/ (+ x (* -1 (* x z))) t)))))> |
#<alt (* -1 (* t (+ (* -1 z) (* -1 (/ (+ x (* -1 (* x z))) t)))))> |
#<alt (* -1 (* t (+ (* -1 z) (* -1 (/ (+ x (* -1 (* x z))) t)))))> |
#<alt (* t z)> |
#<alt (+ (* t z) (* x (+ 1 (* -1 z))))> |
#<alt (+ (* t z) (* x (+ 1 (* -1 z))))> |
#<alt (+ (* t z) (* x (+ 1 (* -1 z))))> |
#<alt (* x (+ 1 (* -1 z)))> |
#<alt (* x (+ 1 (+ (* -1 z) (/ (* t z) x))))> |
#<alt (* x (+ 1 (+ (* -1 z) (/ (* t z) x))))> |
#<alt (* x (+ 1 (+ (* -1 z) (/ (* t z) x))))> |
#<alt (* -1 (* x (- z 1)))> |
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#<alt (* -1 (* x (- (+ z (* -1 (/ (* t z) x))) 1)))> |
#<alt (* -1 (* x (- (+ z (* -1 (/ (* t z) x))) 1)))> |
#<alt (* -1 (pow x 3))> |
#<alt (+ (* -1 (pow x 3)) (* t (+ (* -1 (pow x 2)) (pow x 2))))> |
#<alt (+ (* -1 (pow x 3)) (* t (+ (* -1 (pow x 2)) (+ (* t (+ x (* -1 x))) (pow x 2)))))> |
#<alt (+ (* -1 (pow x 3)) (* t (+ (* -1 (pow x 2)) (+ (* t (+ t (+ x (* -1 x)))) (pow x 2)))))> |
#<alt (pow t 3)> |
#<alt (* (pow t 3) (+ 1 (+ (* -1 (/ x t)) (/ x t))))> |
#<alt (* (pow t 3) (+ 1 (+ (* -1 (/ x t)) (+ (* -1 (/ (pow x 2) (pow t 2))) (+ (/ x t) (/ (pow x 2) (pow t 2)))))))> |
#<alt (* (pow t 3) (+ 1 (+ (* -1 (/ x t)) (+ (* -1 (/ (pow x 2) (pow t 2))) (+ (* -1 (/ (pow x 3) (pow t 3))) (+ (/ x t) (/ (pow x 2) (pow t 2))))))))> |
#<alt (pow t 3)> |
#<alt (* -1 (* (pow t 3) (- (+ (* -1 (/ x t)) (/ x t)) 1)))> |
#<alt (* -1 (* (pow t 3) (- (* -1 (/ (+ (* -1 (+ x (* -1 x))) (+ (* -1 (/ (pow x 2) t)) (/ (pow x 2) t))) t)) 1)))> |
#<alt (* -1 (* (pow t 3) (- (* -1 (/ (+ (* -1 (+ x (* -1 x))) (* -1 (/ (+ (* -1 (+ (* -1 (pow x 2)) (pow x 2))) (/ (pow x 3) t)) t))) t)) 1)))> |
#<alt (pow t 3)> |
#<alt (+ (* x (+ (* -1 (pow t 2)) (pow t 2))) (pow t 3))> |
#<alt (+ (* x (+ (* -1 (pow t 2)) (+ (* x (+ t (* -1 t))) (pow t 2)))) (pow t 3))> |
#<alt (+ (* x (+ (* -1 (pow t 2)) (+ (* x (+ t (+ (* -1 t) (* -1 x)))) (pow t 2)))) (pow t 3))> |
#<alt (* -1 (pow x 3))> |
#<alt (* (pow x 3) (- (+ (* -1 (/ t x)) (/ t x)) 1))> |
#<alt (* (pow x 3) (- (+ (* -1 (/ t x)) (+ (* -1 (/ (pow t 2) (pow x 2))) (+ (/ t x) (/ (pow t 2) (pow x 2))))) 1))> |
#<alt (* (pow x 3) (- (+ (* -1 (/ t x)) (+ (* -1 (/ (pow t 2) (pow x 2))) (+ (/ t x) (+ (/ (pow t 2) (pow x 2)) (/ (pow t 3) (pow x 3)))))) 1))> |
#<alt (* -1 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ t (* -1 t)) x)))))> |
#<alt (* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ t (+ (* -1 t) (* -1 (/ (+ (* -1 (pow t 2)) (pow t 2)) x)))) x)))))> |
#<alt (* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ t (+ (* -1 t) (* -1 (/ (+ (* -1 (/ (pow t 3) x)) (+ (* -1 (pow t 2)) (pow t 2))) x)))) x)))))> |
#<alt (/ x y)> |
#<alt (* x (+ (* -1/3 (/ (pow x 2) (pow y 3))) (/ 1 y)))> |
#<alt (* x (+ (* (pow x 2) (- (* 2/15 (/ (pow x 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y)))> |
#<alt (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -17/315 (/ (pow x 2) (pow y 7))) (* 2/15 (/ 1 (pow y 5))))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y)))> |
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))> |
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))> |
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))> |
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))> |
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))> |
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))> |
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))> |
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))> |
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))> |
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))> |
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))> |
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))> |
#<alt (/ x y)> |
#<alt (/ (+ x (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) y)> |
#<alt (/ (- (+ x (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)))) (* 1/2 (/ (pow x 3) (pow y 2)))) y)> |
#<alt (/ (- (+ x (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))))) (+ (* -1/2 (/ (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (pow y 3))) (+ (* 1/4 (/ (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2))) (pow y 3))) (* 1/2 (/ (pow x 3) (pow y 2)))))) y)> |
#<alt (/ x y)> |
#<alt (* -1 (/ (+ (* -1 x) (* -1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) y))> |
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (- (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) (* -1/2 (pow x 3))) y)) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) y))> |
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (+ (* 1/12 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))))) (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (* 1/2 (* x (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))) y)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))) (* -1/2 (pow x 3))) y)) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) y))> |
#<alt (* -1 x)> |
#<alt (- t x)> |
#<alt (- t x)> |
#<alt (- t x)> |
#<alt t> |
#<alt (* t (+ 1 (* -1 (/ x t))))> |
#<alt (* t (+ 1 (* -1 (/ x t))))> |
#<alt (* t (+ 1 (* -1 (/ x t))))> |
#<alt t> |
#<alt (* -1 (* t (- (/ x t) 1)))> |
#<alt (* -1 (* t (- (/ x t) 1)))> |
#<alt (* -1 (* t (- (/ x t) 1)))> |
#<alt t> |
#<alt (+ t (* -1 x))> |
#<alt (+ t (* -1 x))> |
#<alt (+ t (* -1 x))> |
#<alt (* -1 x)> |
#<alt (* x (- (/ t x) 1))> |
#<alt (* x (- (/ t x) 1))> |
#<alt (* x (- (/ t x) 1))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (+ 1 (* -1 (/ t x)))))> |
#<alt (* -1 (* x (+ 1 (* -1 (/ t x)))))> |
#<alt (* -1 (* x (+ 1 (* -1 (/ t x)))))> |
#<alt (* -1 (/ x y))> |
#<alt (+ (* -1 (/ x y)) (/ t y))> |
#<alt (+ (* -1 (/ x y)) (/ t y))> |
#<alt (+ (* -1 (/ x y)) (/ t y))> |
#<alt (/ t y)> |
#<alt (* t (+ (* -1 (/ x (* t y))) (/ 1 y)))> |
#<alt (* t (+ (* -1 (/ x (* t y))) (/ 1 y)))> |
#<alt (* t (+ (* -1 (/ x (* t y))) (/ 1 y)))> |
#<alt (/ t y)> |
#<alt (* -1 (* t (- (/ x (* t y)) (/ 1 y))))> |
#<alt (* -1 (* t (- (/ x (* t y)) (/ 1 y))))> |
#<alt (* -1 (* t (- (/ x (* t y)) (/ 1 y))))> |
#<alt (/ t y)> |
#<alt (+ (* -1 (/ x y)) (/ t y))> |
#<alt (+ (* -1 (/ x y)) (/ t y))> |
#<alt (+ (* -1 (/ x y)) (/ t y))> |
#<alt (* -1 (/ x y))> |
#<alt (* x (- (/ t (* x y)) (/ 1 y)))> |
#<alt (* x (- (/ t (* x y)) (/ 1 y)))> |
#<alt (* x (- (/ t (* x y)) (/ 1 y)))> |
#<alt (* -1 (/ x y))> |
#<alt (* -1 (* x (+ (* -1 (/ t (* x y))) (/ 1 y))))> |
#<alt (* -1 (* x (+ (* -1 (/ t (* x y))) (/ 1 y))))> |
#<alt (* -1 (* x (+ (* -1 (/ t (* x y))) (/ 1 y))))> |
#<alt (/ (- t x) y)> |
#<alt (/ (- t x) y)> |
#<alt (/ (- t x) y)> |
#<alt (/ (- t x) y)> |
#<alt (/ (- t x) y)> |
#<alt (/ (- t x) y)> |
#<alt (/ (- t x) y)> |
#<alt (/ (- t x) y)> |
#<alt (/ (- t x) y)> |
#<alt (/ (- t x) y)> |
#<alt (/ (- t x) y)> |
#<alt (/ (- t x) y)> |
#<alt (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))> |
#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y)) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))> |
#<alt (- (+ (* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))> |
#<alt (- (+ (* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))> |
#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ 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 (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ 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)> |
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#<alt (* -1 (/ (- (+ (* -1 t) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (pow x 3)) (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))))) (+ (* -1/2 (pow t 3)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))) y)) (* 1/2 (+ (* -1 (pow t 2)) (pow t 2)))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) (* -1 x)) y))> |
#<alt (* -1 (/ (- (+ (* -1 t) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (+ (* 1/2 (* x (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) (* 1/2 (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (+ (* 1/12 (pow t 4)) (* t (+ (* -1/6 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))))))))) (+ (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2)))) (+ (* 1/2 (* t (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))) (* 1/2 (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (+ (* 1/12 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))))))))) y)) (+ (* -1/2 (pow x 3)) (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))))) (+ (* -1/2 (pow t 3)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))) y)) (* 1/2 (+ (* -1 (pow t 2)) (pow t 2)))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) (* -1 x)) y))> |
#<alt (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))> |
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#<alt (- (+ (* x (- (* 1/3 (/ (pow x 2) (pow y 3))) (/ 1 y))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))> |
#<alt (- (+ (* x (- (* (pow x 2) (+ (* -2/15 (/ (pow x 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))> |
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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 (* y (+ t x))> |
#<alt (* y (+ t x))> |
#<alt (* y (+ t x))> |
#<alt (* y (+ t x))> |
#<alt (* y (+ t x))> |
#<alt (* y (+ t x))> |
#<alt (* y (+ t x))> |
#<alt (* y (+ t x))> |
#<alt (* y (+ t x))> |
#<alt (* y (+ t x))> |
#<alt (* y (+ t x))> |
#<alt (* y (+ t x))> |
#<alt (* x y)> |
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#<alt (+ (* t y) (* x y))> |
#<alt (+ (* t y) (* x y))> |
#<alt (* t y)> |
#<alt (* t (+ y (/ (* x y) t)))> |
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#<alt (* t (+ y (/ (* x y) t)))> |
#<alt (* t y)> |
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#<alt (* -1 (* t (+ (* -1 y) (* -1 (/ (* x y) t)))))> |
#<alt (* -1 (* t (+ (* -1 y) (* -1 (/ (* x y) t)))))> |
#<alt (* t y)> |
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#<alt (+ (* t y) (* x y))> |
#<alt (* x y)> |
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#<alt (* x (+ y (/ (* t y) x)))> |
#<alt (* x (+ y (/ (* t y) x)))> |
#<alt (* x y)> |
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#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (* t y) x)))))> |
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (* t y) x)))))> |
#<alt (pow x 2)> |
#<alt (+ (* t x) (pow x 2))> |
#<alt (+ (* t (+ t x)) (pow x 2))> |
#<alt (+ (* t (+ t x)) (pow x 2))> |
#<alt (pow t 2)> |
#<alt (* (pow t 2) (+ 1 (/ x t)))> |
#<alt (* (pow t 2) (+ 1 (+ (/ x t) (/ (pow x 2) (pow t 2)))))> |
#<alt (* (pow t 2) (+ 1 (+ (/ x t) (/ (pow x 2) (pow t 2)))))> |
#<alt (pow t 2)> |
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#<alt (* (pow t 2) (+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (pow x 2) t))) t))))> |
#<alt (pow t 2)> |
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#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 t) (* -1 (/ (pow t 2) x))) x))))> |
#<alt (/ 1 (pow x 2))> |
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#<alt (+ (* t (- (/ (pow t 2) (pow x 5)) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))> |
#<alt (+ (* t (- (* (pow t 2) (+ (* -1 (/ t (pow x 6))) (/ 1 (pow x 5)))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))> |
#<alt (/ 1 (pow t 2))> |
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#<alt (/ (- (+ 1 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 (pow x 3))) (pow t 3)))) (+ (* -1 (/ (pow x 2) (pow t 2))) (+ (/ x t) (/ (pow x 2) (pow t 2))))) (pow t 2))> |
#<alt (/ 1 (pow t 2))> |
#<alt (/ (+ 1 (* -1 (/ x t))) (pow t 2))> |
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#<alt (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (/ (* x (+ (* -1 (pow x 2)) (pow x 2))) t) (/ (pow x 3) t)) (+ (* -1 (pow x 2)) (pow x 2))) t)) (* -1 x)) t))) (pow t 2))> |
#<alt (/ 1 (pow t 2))> |
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#<alt (+ (* x (- (* (pow x 2) (+ (* -1 (/ x (pow t 6))) (/ 1 (pow t 5)))) (/ 1 (pow t 3)))) (/ 1 (pow t 2)))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ (+ 1 (* -1 (/ t x))) (pow x 2))> |
#<alt (/ (- (+ 1 (* -1 (/ (+ (* -1 (pow t 2)) (pow t 2)) (pow x 2)))) (/ t x)) (pow x 2))> |
#<alt (/ (- (+ 1 (* -1 (/ (+ (* -1 (* t (+ (* -1 (pow t 2)) (pow t 2)))) (* -1 (pow t 3))) (pow x 3)))) (+ (* -1 (/ (pow t 2) (pow x 2))) (+ (/ t x) (/ (pow t 2) (pow x 2))))) (pow x 2))> |
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#<alt (/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow t 2) x)) (/ (pow t 2) x)) (* -1 t)) x))) (pow x 2))> |
#<alt (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (/ (* t (+ (* -1 (pow t 2)) (pow t 2))) x) (/ (pow t 3) x)) (+ (* -1 (pow t 2)) (pow t 2))) x)) (* -1 t)) x))) (pow x 2))> |
225 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | t | @ | 0 | (/ 1 (+ (* t t) (* x (+ t x)))) |
| 0.0ms | y | @ | 0 | (* y (+ t x)) |
| 0.0ms | x | @ | 0 | (/ 1 (+ (* t t) (* x (+ t x)))) |
| 0.0ms | x | @ | inf | (/ 1 (+ (* t t) (* x (+ t x)))) |
| 0.0ms | t | @ | -inf | (* (+ (* t t) (* x (+ t x))) (- t x)) |
| 1× | egg-herbie |
| 13 632× | lower-fma.f64 |
| 13 632× | lower-fma.f32 |
| 6 004× | lower-+.f64 |
| 6 004× | lower-+.f32 |
| 4 690× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 826 | 33234 |
| 1 | 2790 | 25176 |
| 0 | 9334 | 24535 |
| 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)))))))))) |
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x |
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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)) |
(* -1 (/ (- (+ (* -1 t) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (+ (* 1/2 (* x (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) (* 1/2 (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (+ (* 1/12 (pow t 4)) (* t (+ (* -1/6 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))))))))) (+ (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2)))) (+ (* 1/2 (* t (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))) (* 1/2 (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (+ (* 1/12 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))))))))) y)) (+ (* -1/2 (pow x 3)) (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))))) (+ (* -1/2 (pow t 3)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))) y)) (* 1/2 (+ (* -1 (pow t 2)) (pow t 2)))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) (* -1 x)) y)) |
(- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))) |
(- (+ (* -1 (/ x y)) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))) |
(- (+ (* x (- (* 1/3 (/ (pow x 2) (pow y 3))) (/ 1 y))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))) |
(- (+ (* x (- (* (pow x 2) (+ (* -2/15 (/ (pow x 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(* y (+ t x)) |
(* y (+ t x)) |
(* y (+ t x)) |
(* y (+ t x)) |
(* y (+ t x)) |
(* y (+ t x)) |
(* y (+ t x)) |
(* y (+ t x)) |
(* y (+ t x)) |
(* y (+ t x)) |
(* y (+ t x)) |
(* y (+ t x)) |
(* x y) |
(+ (* t y) (* x y)) |
(+ (* t y) (* x y)) |
(+ (* t y) (* x y)) |
(* t y) |
(* t (+ y (/ (* x y) t))) |
(* t (+ y (/ (* x y) t))) |
(* t (+ y (/ (* x y) t))) |
(* t y) |
(* -1 (* t (+ (* -1 y) (* -1 (/ (* x y) t))))) |
(* -1 (* t (+ (* -1 y) (* -1 (/ (* x y) t))))) |
(* -1 (* t (+ (* -1 y) (* -1 (/ (* x y) t))))) |
(* t y) |
(+ (* t y) (* x y)) |
(+ (* t y) (* x y)) |
(+ (* t y) (* x y)) |
(* x y) |
(* x (+ y (/ (* t y) x))) |
(* x (+ y (/ (* t y) x))) |
(* x (+ y (/ (* t y) x))) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (* t y) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (* t y) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (* t y) x))))) |
(pow x 2) |
(+ (* t x) (pow x 2)) |
(+ (* t (+ t x)) (pow x 2)) |
(+ (* t (+ t x)) (pow x 2)) |
(pow t 2) |
(* (pow t 2) (+ 1 (/ x t))) |
(* (pow t 2) (+ 1 (+ (/ x t) (/ (pow x 2) (pow t 2))))) |
(* (pow t 2) (+ 1 (+ (/ x t) (/ (pow x 2) (pow t 2))))) |
(pow t 2) |
(* (pow t 2) (+ 1 (/ x t))) |
(* (pow t 2) (+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (pow x 2) t))) t)))) |
(* (pow t 2) (+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (pow x 2) t))) t)))) |
(pow t 2) |
(+ (* t x) (pow t 2)) |
(+ (* x (+ t x)) (pow t 2)) |
(+ (* x (+ t x)) (pow t 2)) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ t x))) |
(* (pow x 2) (+ 1 (+ (/ t x) (/ (pow t 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (+ (/ t x) (/ (pow t 2) (pow x 2))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ t x))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 t) (* -1 (/ (pow t 2) x))) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 t) (* -1 (/ (pow t 2) x))) x)))) |
(/ 1 (pow x 2)) |
(+ (* -1 (/ t (pow x 3))) (/ 1 (pow x 2))) |
(+ (* t (- (/ (pow t 2) (pow x 5)) (/ 1 (pow x 3)))) (/ 1 (pow x 2))) |
(+ (* t (- (* (pow t 2) (+ (* -1 (/ t (pow x 6))) (/ 1 (pow x 5)))) (/ 1 (pow x 3)))) (/ 1 (pow x 2))) |
(/ 1 (pow t 2)) |
(/ (+ 1 (* -1 (/ x t))) (pow t 2)) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) (pow t 2)))) (/ x t)) (pow t 2)) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 (pow x 3))) (pow t 3)))) (+ (* -1 (/ (pow x 2) (pow t 2))) (+ (/ x t) (/ (pow x 2) (pow t 2))))) (pow t 2)) |
(/ 1 (pow t 2)) |
(/ (+ 1 (* -1 (/ x t))) (pow t 2)) |
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow x 2) t)) (/ (pow x 2) t)) (* -1 x)) t))) (pow t 2)) |
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (/ (* x (+ (* -1 (pow x 2)) (pow x 2))) t) (/ (pow x 3) t)) (+ (* -1 (pow x 2)) (pow x 2))) t)) (* -1 x)) t))) (pow t 2)) |
(/ 1 (pow t 2)) |
(+ (* -1 (/ x (pow t 3))) (/ 1 (pow t 2))) |
(+ (* x (- (/ (pow x 2) (pow t 5)) (/ 1 (pow t 3)))) (/ 1 (pow t 2))) |
(+ (* x (- (* (pow x 2) (+ (* -1 (/ x (pow t 6))) (/ 1 (pow t 5)))) (/ 1 (pow t 3)))) (/ 1 (pow t 2))) |
(/ 1 (pow x 2)) |
(/ (+ 1 (* -1 (/ t x))) (pow x 2)) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow t 2)) (pow t 2)) (pow x 2)))) (/ t x)) (pow x 2)) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* t (+ (* -1 (pow t 2)) (pow t 2)))) (* -1 (pow t 3))) (pow x 3)))) (+ (* -1 (/ (pow t 2) (pow x 2))) (+ (/ t x) (/ (pow t 2) (pow x 2))))) (pow x 2)) |
(/ 1 (pow x 2)) |
(/ (+ 1 (* -1 (/ t x))) (pow x 2)) |
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow t 2) x)) (/ (pow t 2) x)) (* -1 t)) x))) (pow x 2)) |
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (/ (* t (+ (* -1 (pow t 2)) (pow t 2))) x) (/ (pow t 3) x)) (+ (* -1 (pow t 2)) (pow t 2))) x)) (* -1 t)) x))) (pow x 2)) |
| Outputs |
|---|
(+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(fma.f64 (*.f64 y z) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))))) x) |
(+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(fma.f64 (*.f64 y z) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))))) (fma.f64 z t x)) |
(+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(fma.f64 (*.f64 y z) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))))) (fma.f64 t (fma.f64 (*.f64 t t) (*.f64 #s(literal -1/3 binary64) (/.f64 z (*.f64 y y))) z) x)) |
(+ x (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(fma.f64 (*.f64 y z) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))))) (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 #s(literal -1/3 binary64) (/.f64 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 y z) (+.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 (neg.f64 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)))))))))) |
(fma.f64 (*.f64 y z) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (-.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 (neg.f64 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)))))))))) |
(fma.f64 (*.f64 y z) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (-.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 (neg.f64 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)))))))))) |
(fma.f64 (*.f64 y z) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (-.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 (neg.f64 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)))))))))) |
(fma.f64 (*.f64 y z) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (-.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 (neg.f64 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)))))))))) |
(fma.f64 (*.f64 y z) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (-.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 (neg.f64 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)))))))))) |
(fma.f64 (*.f64 y z) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (-.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 (neg.f64 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)))))))))) |
(fma.f64 (*.f64 y z) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (-.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 (neg.f64 x) 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)))))))))) |
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(fma.f64 x x (*.f64 t (+.f64 x t))) |
(+ (* x (+ t x)) (pow t 2)) |
(fma.f64 x x (*.f64 t (+.f64 x t))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ t x))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 t x))) |
(* (pow x 2) (+ 1 (+ (/ t x) (/ (pow t 2) (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 (/.f64 (*.f64 t t) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 t x)))) |
(* (pow x 2) (+ 1 (+ (/ t x) (/ (pow t 2) (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 (/.f64 (*.f64 t t) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 t x)))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ t x))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 t x))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 t) (* -1 (/ (pow t 2) x))) x)))) |
(*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 t) (/.f64 (*.f64 t t) x)) x))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 t) (* -1 (/ (pow t 2) x))) x)))) |
(*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 t) (/.f64 (*.f64 t t) x)) x))) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(+ (* -1 (/ t (pow x 3))) (/ 1 (pow x 2))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 t (*.f64 x (*.f64 x x)))) |
(+ (* t (- (/ (pow t 2) (pow x 5)) (/ 1 (pow x 3)))) (/ 1 (pow x 2))) |
(fma.f64 t (+.f64 (/.f64 (*.f64 t t) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(+ (* t (- (* (pow t 2) (+ (* -1 (/ t (pow x 6))) (/ 1 (pow x 5)))) (/ 1 (pow x 3)))) (/ 1 (pow x 2))) |
(fma.f64 t (fma.f64 (*.f64 t t) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) (/.f64 t (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/ 1 (pow t 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 t t)) |
(/ (+ 1 (* -1 (/ x t))) (pow t 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x t)) (*.f64 t t)) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) (pow t 2)))) (/ x t)) (pow t 2)) |
(/.f64 (+.f64 (/.f64 #s(literal 0 binary64) (*.f64 t t)) (-.f64 #s(literal 1 binary64) (/.f64 x t))) (*.f64 t t)) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 (pow x 3))) (pow t 3)))) (+ (* -1 (/ (pow x 2) (pow t 2))) (+ (/ x t) (/ (pow x 2) (pow t 2))))) (pow t 2)) |
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (neg.f64 (*.f64 t (*.f64 t t))))) (-.f64 (+.f64 (/.f64 x t) (/.f64 (*.f64 x x) (*.f64 t t))) (/.f64 (*.f64 x x) (*.f64 t t)))) (*.f64 t t)) |
(/ 1 (pow t 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 t t)) |
(/ (+ 1 (* -1 (/ x t))) (pow t 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x t)) (*.f64 t t)) |
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow x 2) t)) (/ (pow x 2) t)) (* -1 x)) t))) (pow t 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x t)) (*.f64 t t)) |
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (/ (* x (+ (* -1 (pow x 2)) (pow x 2))) t) (/ (pow x 3) t)) (+ (* -1 (pow x 2)) (pow x 2))) t)) (* -1 x)) t))) (pow t 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 0 binary64) t) (+.f64 (/.f64 (*.f64 x (*.f64 x x)) t) #s(literal 0 binary64))) (neg.f64 t)) x) t)) (*.f64 t t)) |
(/ 1 (pow t 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 t t)) |
(+ (* -1 (/ x (pow t 3))) (/ 1 (pow t 2))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 t t)) (/.f64 x (*.f64 t (*.f64 t t)))) |
(+ (* x (- (/ (pow x 2) (pow t 5)) (/ 1 (pow t 3)))) (/ 1 (pow t 2))) |
(fma.f64 x (+.f64 (/.f64 (*.f64 x x) (pow.f64 t #s(literal 5 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 t (*.f64 t t)))) (/.f64 #s(literal 1 binary64) (*.f64 t t))) |
(+ (* x (- (* (pow x 2) (+ (* -1 (/ x (pow t 6))) (/ 1 (pow t 5)))) (/ 1 (pow t 3)))) (/ 1 (pow t 2))) |
(fma.f64 x (fma.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 5 binary64))) (/.f64 x (pow.f64 t #s(literal 6 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 t (*.f64 t t)))) (/.f64 #s(literal 1 binary64) (*.f64 t t))) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ (+ 1 (* -1 (/ t x))) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 t x)) (*.f64 x x)) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow t 2)) (pow t 2)) (pow x 2)))) (/ t x)) (pow x 2)) |
(/.f64 (+.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 t x))) (*.f64 x x)) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* t (+ (* -1 (pow t 2)) (pow t 2)))) (* -1 (pow t 3))) (pow x 3)))) (+ (* -1 (/ (pow t 2) (pow x 2))) (+ (/ t x) (/ (pow t 2) (pow x 2))))) (pow x 2)) |
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x)))) (-.f64 (+.f64 (/.f64 t x) (/.f64 (*.f64 t t) (*.f64 x x))) (/.f64 (*.f64 t t) (*.f64 x x)))) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ (+ 1 (* -1 (/ t x))) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 t x)) (*.f64 x x)) |
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow t 2) x)) (/ (pow t 2) x)) (* -1 t)) x))) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 t x)) (*.f64 x x)) |
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (/ (* t (+ (* -1 (pow t 2)) (pow t 2))) x) (/ (pow t 3) x)) (+ (* -1 (pow t 2)) (pow t 2))) x)) (* -1 t)) x))) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 t (*.f64 t t)) x)) x)) t) x)) (*.f64 x x)) |
| 1× | batch-egg-rewrite |
| 5 708× | lower-*.f32 |
| 5 690× | lower-*.f64 |
| 4 138× | lower-/.f32 |
| 4 128× | lower-/.f64 |
| 1 940× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 395 |
| 0 | 75 | 354 |
| 1 | 310 | 296 |
| 2 | 2708 | 296 |
| 0 | 8965 | 292 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x) |
(-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
#s(approx (tanh (/ t y)) (/.f64 t y)) |
(/.f64 t y) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))) |
#s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x))) |
(*.f64 z (-.f64 t x)) |
(-.f64 t x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))) |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))) |
(*.f64 y z) |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)) |
(/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x)))))) |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x))))) |
(*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)) |
(fma.f64 z (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x) |
(*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) |
(tanh.f64 (/.f64 x y)) |
#s(approx (- t x) (neg.f64 x)) |
(/.f64 #s(approx (- t x) (neg.f64 x)) y) |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x)))) |
(*.f64 y (+.f64 t x)) |
(fma.f64 t t (*.f64 x (+.f64 t x))) |
(/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))) |
| Outputs |
|---|
(+.f64 x (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z))) |
(+.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) x) |
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) (neg.f64 x)))) |
(fma.f64 y (*.f64 z (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x) |
(fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x) |
(fma.f64 z (*.f64 y (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x) |
(fma.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) x) |
(fma.f64 (*.f64 y (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) z x) |
(fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z))) (pow.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64))) (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.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 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z))) (pow.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64))) (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x x))))) |
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z))) (pow.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 (*.f64 y z) x))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) (neg.f64 x))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z))) (pow.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 (*.f64 y z) x)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) (neg.f64 x)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64))) (-.f64 x (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) (neg.f64 x))) (*.f64 (fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) (neg.f64 x)) (*.f64 x x))) (*.f64 (fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) (neg.f64 x)) (fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) (neg.f64 x)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z))) (pow.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) (neg.f64 x))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z))))) |
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z))) (pow.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64))) (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x x))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z))) (pow.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) (neg.f64 x)))) |
(+.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (neg.f64 (tanh.f64 (/.f64 x y)))) |
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(-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
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(/.f64 (neg.f64 (*.f64 y (*.f64 (-.f64 t x) (+.f64 t x)))) (neg.f64 (-.f64 t x))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 t (*.f64 t t) (*.f64 x (*.f64 x x))) y)) (neg.f64 (fma.f64 x (-.f64 x t) (*.f64 t t)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 t x) (+.f64 t x)) y)) (neg.f64 (-.f64 t x))) |
(*.f64 y (+.f64 t x)) |
(*.f64 (+.f64 t x) y) |
(+.f64 (*.f64 x (+.f64 t x)) (*.f64 t t)) |
(+.f64 (*.f64 t t) (*.f64 x (+.f64 t x))) |
(+.f64 (*.f64 t x) (fma.f64 x x (*.f64 t t))) |
(+.f64 (fma.f64 t t (*.f64 x x)) (*.f64 t x)) |
(+.f64 (fma.f64 t t (*.f64 t x)) (*.f64 x x)) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (fma.f64 x (+.f64 t x) (*.f64 t t))) #s(literal -1 binary64)))) |
(-.f64 (/.f64 (*.f64 t (*.f64 t (*.f64 t t))) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (+.f64 t x) (+.f64 t x))) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))))) |
(fma.f64 t t (*.f64 x (+.f64 t x))) |
(fma.f64 t x (fma.f64 x x (*.f64 t t))) |
(fma.f64 x t (fma.f64 x x (*.f64 t t))) |
(fma.f64 x (+.f64 t x) (*.f64 t t)) |
(fma.f64 (+.f64 t x) x (*.f64 t t)) |
(fma.f64 (exp.f64 (log.f64 t)) (exp.f64 (log.f64 t)) (*.f64 x (+.f64 t x))) |
(/.f64 (fma.f64 x (+.f64 t x) (*.f64 t t)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 t x) (*.f64 t t)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x (+.f64 t x)) (-.f64 (*.f64 x (+.f64 t x)) (*.f64 t t)) (*.f64 t (*.f64 t (*.f64 t t)))) (fma.f64 (*.f64 x (+.f64 t x)) (*.f64 (*.f64 x x) (*.f64 (+.f64 t x) (+.f64 t x))) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))) (*.f64 (fma.f64 x (+.f64 t x) (*.f64 t t)) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 t x) (*.f64 t t))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 x (+.f64 t x)) (-.f64 (*.f64 x (+.f64 t x)) (*.f64 t t)) (*.f64 t (*.f64 t (*.f64 t t)))) (fma.f64 (*.f64 x (+.f64 t x)) (*.f64 (*.f64 x x) (*.f64 (+.f64 t x) (+.f64 t x))) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))) (*.f64 (fma.f64 x (+.f64 t x) (*.f64 t t)) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))))))) |
(/.f64 (neg.f64 (fma.f64 x (+.f64 t x) (*.f64 t t))) #s(literal -1 binary64)) |
(/.f64 (fma.f64 (*.f64 x (+.f64 t x)) (*.f64 (*.f64 x x) (*.f64 (+.f64 t x) (+.f64 t x))) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))))) (fma.f64 (*.f64 x (+.f64 t x)) (-.f64 (*.f64 x (+.f64 t x)) (*.f64 t t)) (*.f64 t (*.f64 t (*.f64 t t))))) |
(/.f64 (fma.f64 (*.f64 x (+.f64 t x)) (*.f64 (*.f64 x x) (*.f64 (+.f64 t x) (+.f64 t x))) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))))) (fma.f64 x (*.f64 (+.f64 t x) (*.f64 x (+.f64 t x))) (-.f64 (*.f64 t (*.f64 t (*.f64 t t))) (*.f64 (*.f64 x (+.f64 t x)) (*.f64 t t))))) |
(/.f64 (fma.f64 (*.f64 x (+.f64 t x)) (*.f64 (*.f64 x x) (*.f64 (+.f64 t x) (+.f64 t x))) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))))) (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (+.f64 t x)) (-.f64 (*.f64 x (+.f64 t x)) (*.f64 t t)) (*.f64 t (*.f64 t (*.f64 t t)))))) |
(/.f64 (*.f64 (fma.f64 x (+.f64 t x) (*.f64 t t)) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))) |
(/.f64 (*.f64 (fma.f64 x (+.f64 t x) (*.f64 t t)) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))) (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (+.f64 t x) (*.f64 t t)))) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (+.f64 t x)) (*.f64 (*.f64 x x) (*.f64 (+.f64 t x) (+.f64 t x))) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))))) (neg.f64 (fma.f64 (*.f64 x (+.f64 t x)) (-.f64 (*.f64 x (+.f64 t x)) (*.f64 t t)) (*.f64 t (*.f64 t (*.f64 t t)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (+.f64 t x)) (*.f64 (*.f64 x x) (*.f64 (+.f64 t x) (+.f64 t x))) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))))) (neg.f64 (fma.f64 x (*.f64 (+.f64 t x) (*.f64 x (+.f64 t x))) (-.f64 (*.f64 t (*.f64 t (*.f64 t t))) (*.f64 (*.f64 x (+.f64 t x)) (*.f64 t t)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (+.f64 t x)) (*.f64 (*.f64 x x) (*.f64 (+.f64 t x) (+.f64 t x))) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))))) (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (+.f64 t x)) (-.f64 (*.f64 x (+.f64 t x)) (*.f64 t t)) (*.f64 t (*.f64 t (*.f64 t t))))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x (+.f64 t x) (*.f64 t t)) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))))) (neg.f64 (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x (+.f64 t x) (*.f64 t t)) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))))) (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (+.f64 t x) (+.f64 t x))) (*.f64 t (*.f64 t (*.f64 t t)))) (-.f64 (*.f64 x (+.f64 t x)) (*.f64 t t))) |
(/.f64 (-.f64 (*.f64 (*.f64 t (*.f64 t (*.f64 t t))) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))) (*.f64 (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))) (*.f64 (*.f64 x x) (*.f64 (+.f64 t x) (+.f64 t x))))) (*.f64 (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (+.f64 t x)) (*.f64 (*.f64 x x) (*.f64 (+.f64 t x) (+.f64 t x))) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x (+.f64 t x)) (-.f64 (*.f64 x (+.f64 t x)) (*.f64 t t)) (*.f64 t (*.f64 t (*.f64 t t))))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 x (+.f64 t x) (*.f64 t t)) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))))) (neg.f64 (neg.f64 (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (+.f64 t x) (+.f64 t x))) (*.f64 t (*.f64 t (*.f64 t t))))) (neg.f64 (-.f64 (*.f64 x (+.f64 t x)) (*.f64 t t)))) |
(pow.f64 (fma.f64 x (+.f64 t x) (*.f64 t t)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 t x) (*.f64 t t))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 x (+.f64 t x)) (-.f64 (*.f64 x (+.f64 t x)) (*.f64 t t)) (*.f64 t (*.f64 t (*.f64 t t)))) (fma.f64 (*.f64 x (+.f64 t x)) (*.f64 (*.f64 x x) (*.f64 (+.f64 t x) (+.f64 t x))) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))) (*.f64 (fma.f64 x (+.f64 t x) (*.f64 t t)) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 x (+.f64 t x) (*.f64 t t)) #s(literal 1 binary64)) |
(*.f64 (fma.f64 (*.f64 x (+.f64 t x)) (*.f64 (*.f64 x x) (*.f64 (+.f64 t x) (+.f64 t x))) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (+.f64 t x)) (-.f64 (*.f64 x (+.f64 t x)) (*.f64 t t)) (*.f64 t (*.f64 t (*.f64 t t)))))) |
(*.f64 (*.f64 (fma.f64 x (+.f64 t x) (*.f64 t t)) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 x (+.f64 t x) (*.f64 t t))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (+.f64 t x) (*.f64 t t)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 t x) (*.f64 t t))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (fma.f64 x (+.f64 t x) (*.f64 t t))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 x (+.f64 t x) (*.f64 t t)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (fma.f64 x (+.f64 t x) (*.f64 t t)))))) |
(pow.f64 (fma.f64 x (+.f64 t x) (*.f64 t t)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (fma.f64 x (+.f64 t x) (*.f64 t t)) (fma.f64 x (+.f64 t x) (*.f64 t t))) #s(literal -1/2 binary64)) |
(pow.f64 (neg.f64 (neg.f64 (fma.f64 x (+.f64 t x) (*.f64 t t)))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 x (+.f64 t x) (*.f64 t t)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (fma.f64 x (+.f64 t x) (*.f64 t t)))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 t x) (*.f64 t t)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 t x) (*.f64 t t))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x (+.f64 t x) (*.f64 t t)))) |
(*.f64 (pow.f64 (fma.f64 x (+.f64 t x) (*.f64 t t)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 x (+.f64 t x) (*.f64 t t)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (+.f64 t x)) (*.f64 (*.f64 x x) (*.f64 (+.f64 t x) (+.f64 t x))) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))))) (fma.f64 (*.f64 x (+.f64 t x)) (-.f64 (*.f64 x (+.f64 t x)) (*.f64 t t)) (*.f64 t (*.f64 t (*.f64 t t))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (+.f64 t x)) (*.f64 (*.f64 x x) (*.f64 (+.f64 t x) (+.f64 t x))) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (+.f64 t x)) (-.f64 (*.f64 x (+.f64 t x)) (*.f64 t t)) (*.f64 t (*.f64 t (*.f64 t t))))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (+.f64 t x) (*.f64 t t)) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))))) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (+.f64 t x) (*.f64 t t)) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))) #s(literal -1 binary64))) |
Compiled 57 675 to 2 985 computations (94.8% saved)
50 alts after pruning (44 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 637 | 29 | 1 666 |
| Fresh | 13 | 15 | 28 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 653 | 50 | 1 703 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 95.5% | (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x) |
| ✓ | 64.5% | (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x) |
| 42.3% | (fma.f64 (-.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))))) (*.f64 y z) x) | |
| ✓ | 57.2% | (fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x) |
| 29.6% | (fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.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))))) (*.f64 y z) x) | |
| 47.3% | (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) z) y x) | |
| 29.3% | (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x)))) y) z x) | |
| 43.3% | (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (fma.f64 x (/.f64 t (*.f64 y x)) (neg.f64 (/.f64 x y))))) y) z x) | |
| 48.1% | (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) y) z x) | |
| 38.9% | (fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))) y x) | |
| 40.1% | (fma.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)) x) | |
| 17.2% | (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))) (*.f64 x x)) (-.f64 (*.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))) x)) | |
| 9.9% | (/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x (*.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))))) (*.f64 (-.f64 x (*.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))))) (*.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))))) (*.f64 (-.f64 x (*.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))))) (-.f64 x (*.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))))))) | |
| 22.3% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))))) (*.f64 (fma.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))) x) (-.f64 x (*.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))))))) | |
| 28.0% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y))))) | |
| 19.7% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) #s(approx (* y (+ t x)) (*.f64 y t)))))) | |
| 17.3% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) #s(approx (* y (+ t x)) (*.f64 x y)))))) | |
| 26.4% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) #s(approx (- t x) (neg.f64 x))) (*.f64 y (+.f64 t x)))))) | |
| 39.7% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y #s(approx (- t x) (neg.f64 x))))))) | |
| 37.8% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 (-.f64 t x) (*.f64 y (+.f64 t x))) (+.f64 t x))))) | |
| 25.3% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 (*.f64 (-.f64 t x) (/.f64 (+.f64 t x) y)) (*.f64 (-.f64 t x) (+.f64 t x))) (-.f64 t x))))) | |
| 37.7% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 t x)) (*.f64 (-.f64 t x) (/.f64 (+.f64 t x) y)))))) | |
| 45.0% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))))) | |
| 40.1% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (- t x) (neg.f64 x)))))) | |
| 22.0% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (exp.f64 (*.f64 (log.f64 (/.f64 y #s(approx (- t x) (neg.f64 x)))) #s(literal -1 binary64)))))) | |
| 46.2% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))))) | |
| 34.0% | (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 z (-.f64 x t) #s(approx (/ (+ (* z (/ (+ (* x (* (* x x) -1/3)) (* (* t (* t t)) 1/3)) y)) (* z 0)) y) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) z) (*.f64 y y))))))) | |
| 21.1% | (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 #s(approx (+ (* z (- x t)) (/ (+ (* z (/ (+ (* x (* (* x x) -1/3)) (* (* t (* t t)) 1/3)) y)) (* z 0)) y)) (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 z (*.f64 x (*.f64 x x))) (*.f64 y y)) (*.f64 x z)))))) | |
| 36.0% | (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* z (- x t)) (/ (+ (* z (/ (+ (* x (* (* x x) -1/3)) (* (* t (* t t)) 1/3)) y)) (* z 0)) y))) (fma.f64 z (-.f64 t x) (*.f64 (*.f64 t (*.f64 t t)) (/.f64 (*.f64 #s(literal -1/3 binary64) z) (*.f64 y y))))))) | |
| 15.5% | (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* z (- x t)) (/ (+ (* z (/ (+ (* x (* (* x x) -1/3)) (* (* t (* t t)) 1/3)) y)) (* z 0)) y))) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 z (*.f64 x (*.f64 x x)))) (*.f64 y y))))) | |
| 22.4% | (*.f64 (*.f64 (fma.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))) x) (-.f64 x (*.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))))))) | |
| 40.4% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (*.f64 (-.f64 t x) (+.f64 t x)) (+.f64 t x)) x)) | |
| ✓ | 56.5% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)) |
| 14.6% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (/.f64 (*.f64 (-.f64 t x) (fma.f64 x (+.f64 t x) (*.f64 t t))) (fma.f64 (*.f64 x (+.f64 t x)) (*.f64 (*.f64 x x) (*.f64 (+.f64 t x) (+.f64 t x))) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))))) (fma.f64 (*.f64 x (+.f64 t x)) (-.f64 (*.f64 x (+.f64 t x)) (*.f64 t t)) (*.f64 t (*.f64 t (*.f64 t t))))) x)) | |
| 21.6% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) #s(approx (- t x) (fma.f64 x (/.f64 t x) (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)) | |
| 19.6% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 #s(approx (+ (* t t) (* x (+ t x))) (*.f64 x (+.f64 x t))) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)) | |
| 24.9% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 #s(approx (+ (* t t) (* x (+ t x))) (*.f64 x x)) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)) | |
| 27.3% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 #s(approx (+ (* t t) (* x (+ t x))) (*.f64 t (+.f64 x t))) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)) | |
| 30.9% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 #s(approx (+ (* t t) (* x (+ t x))) (*.f64 t t)) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)) | |
| 32.9% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 #s(approx (* (+ (* t t) (* x (+ t x))) (- t x)) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)) | |
| 27.4% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 #s(approx (* (+ (* t t) (* x (+ t x))) (- t x)) (neg.f64 (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)) | |
| 47.0% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (neg.f64 x)) x)) | |
| 17.3% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 z (-.f64 t x)) (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x)))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 z (-.f64 t x))) (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x)))))))) | |
| 47.4% | #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))) | |
| 23.5% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (/.f64 (*.f64 (*.f64 (-.f64 t x) (+.f64 t x)) z) (+.f64 t x)))) | |
| ✓ | 29.2% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))) |
| 24.5% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (*.f64 (*.f64 (-.f64 t x) (+.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 t x)))))) | |
| 13.1% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z #s(approx (- t x) (neg.f64 x))))) | |
| ✓ | 19.6% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) |
| 24.7% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) #s(approx (* z (- t x)) (*.f64 x (-.f64 (/.f64 (*.f64 z t) x) z))))) |
Compiled 3 113 to 954 computations (69.4% saved)
| Inputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z #s(approx (- t x) (neg.f64 x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (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)))) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) y) z x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) #s(approx (* z (- t x)) (*.f64 x (-.f64 (/.f64 (*.f64 z t) x) z))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))))) |
(fma.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)) x) |
(fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))) 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))))) #s(approx (+ (* z (- t x)) x) (fma.f64 x (-.f64 (/.f64 (*.f64 z t) x) z) x))) |
(fma.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x) |
(fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) y x) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) z) y x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (/.f64 (*.f64 (*.f64 (-.f64 t x) (+.f64 t x)) z) (+.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (+.f64 t x)) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (*.f64 (-.f64 t x) (+.f64 t x)) (+.f64 t x)) x)) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (- t x) (neg.f64 x)))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (*.f64 (*.f64 (-.f64 t x) (+.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 t x)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 t x))) x)) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y #s(approx (- t x) (neg.f64 x))))))) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* z (- x t)) (/ (+ (* z (/ (+ (* x (* (* x x) -1/3)) (* (* t (* t t)) 1/3)) y)) (* z 0)) y))) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 z (*.f64 x (*.f64 x x)))) (*.f64 y y))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) #s(approx (* y (+ t x)) (*.f64 x y)))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) #s(approx (* y (+ t x)) (*.f64 y t)))))) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y))) y) z x) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x)))) y) z x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) #s(approx (- t x) (neg.f64 x))) (*.f64 y (+.f64 t x)))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 (-.f64 t x) (*.f64 y (+.f64 t x))) (+.f64 t x))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 #s(approx (* (+ (* t t) (* x (+ t x))) (- t x)) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (fma.f64 x (/.f64 t (*.f64 y x)) (neg.f64 (/.f64 x y))))) y) z x) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 #s(approx (+ (* z (- x t)) (/ (+ (* z (/ (+ (* x (* (* x x) -1/3)) (* (* t (* t t)) 1/3)) y)) (* z 0)) y)) (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 z (*.f64 x (*.f64 x x))) (*.f64 y y)) (*.f64 x z)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 #s(approx (* (+ (* t t) (* x (+ t x))) (- t x)) (neg.f64 (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* z (- x t)) (/ (+ (* z (/ (+ (* x (* (* x x) -1/3)) (* (* t (* t t)) 1/3)) y)) (* z 0)) y))) (fma.f64 z (-.f64 t x) (*.f64 (*.f64 t (*.f64 t t)) (/.f64 (*.f64 #s(literal -1/3 binary64) z) (*.f64 y y))))))) |
(+.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))))) (fma.f64 z (*.f64 (*.f64 #s(approx (+ (* t t) (* x (+ t x))) (*.f64 t t)) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 #s(approx (+ (* t t) (* x (+ t x))) (*.f64 x x)) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (+ x (- (neg t) (/ (/ (- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6)) (neg y)) y))) (neg y)) (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) (*.f64 y (*.f64 y y))))))) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 z (-.f64 x t) #s(approx (/ (+ (* z (/ (+ (* x (* (* x x) -1/3)) (* (* t (* t t)) 1/3)) y)) (* z 0)) y) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) z) (*.f64 y y))))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 #s(approx (+ (* t t) (* x (+ t x))) (*.f64 t (+.f64 x t))) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 #s(approx (+ (* t t) (* x (+ t x))) (*.f64 x (+.f64 x t))) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)) |
(fma.f64 (*.f64 #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))) y) z x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 x (+.f64 (/.f64 (/.f64 t x) y) (/.f64 #s(literal -1 binary64) y))))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 t x)) (*.f64 (-.f64 t x) (/.f64 (+.f64 t x) y)))))) |
(+.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))))) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 z (-.f64 x t) (/.f64 #s(approx (+ (* z (/ (+ (* x (* (* x x) -1/3)) (* (* t (* t t)) 1/3)) y)) (* z 0)) (*.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 z (*.f64 x (*.f64 x x))) y))) y))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (+ x (- (neg t) (/ (/ (- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6)) (neg y)) y))) (neg y)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y y)) t) y))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (+ x (- (neg t) (/ (/ (- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6)) (neg y)) y))) (neg y)) (/.f64 (+.f64 x (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64))) (*.f64 y y))) (neg.f64 y)))))) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 z (-.f64 x t) (/.f64 (fma.f64 z #s(approx (/ (+ (* x (* (* x x) -1/3)) (* (* t (* t t)) 1/3)) y) (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) y)) (*.f64 z #s(literal 0 binary64))) y))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 (*.f64 (-.f64 t x) (/.f64 (+.f64 t x) y)) (*.f64 (-.f64 t x) (+.f64 t x))) (-.f64 t x))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 x (-.f64 (neg.f64 t) #s(approx (/ (/ (- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6)) (neg y)) y) (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) (*.f64 y y))))) (neg.f64 y))))) |
(fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.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))))) (*.f64 y z) x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) #s(approx (- t x) (fma.f64 x (/.f64 t x) (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 z (-.f64 x t) (/.f64 (fma.f64 z (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y) (*.f64 z #s(literal 0 binary64))) y))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x) (-.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))) (-.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))) (*.f64 x x)) (-.f64 (*.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))) x)) |
(*.f64 (*.f64 (fma.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))) x) (-.f64 x (*.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))))))) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 z (+.f64 x (neg.f64 t)) (/.f64 (fma.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (/.f64 z y) (*.f64 z #s(literal 0 binary64))) y))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 z (-.f64 t x)) (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x)))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 z (-.f64 t x))) (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))))) (*.f64 (fma.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))) x) (-.f64 x (*.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 x (-.f64 (neg.f64 t) (/.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y)) y))) (neg.f64 y))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (+ x (- (neg t) (/ (/ (- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6)) (neg y)) y))) (neg y)) (fma.f64 x (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal -1 binary64) y)) (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) (/.f64 t y))))))) |
(fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x) |
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (/.f64 (*.f64 (-.f64 t x) (fma.f64 x (+.f64 t x) (*.f64 t t))) (fma.f64 (*.f64 x (+.f64 t x)) (*.f64 (*.f64 x x) (*.f64 (+.f64 t x) (+.f64 t x))) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))))) (fma.f64 (*.f64 x (+.f64 t x)) (-.f64 (*.f64 x (+.f64 t x)) (*.f64 t t)) (*.f64 t (*.f64 t (*.f64 t t))))) x)) |
(fma.f64 (-.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))))) (*.f64 y z) x) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (*.f64 t (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 t t) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) y)))) (tanh.f64 (/.f64 x y))))) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (fma.f64 x (/.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 y (*.f64 y y))) (/.f64 x y)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x (*.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))))) (*.f64 (-.f64 x (*.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))))) (*.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))))) (*.f64 (-.f64 x (*.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))))) (-.f64 x (*.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) (-.f64 (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) x) (*.f64 x x)) (fma.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x)) (fma.f64 y (*.f64 (*.f64 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 (*.f64 x x) (*.f64 (*.f64 x (*.f64 y z)) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))))) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 t x))) #s(literal -1 binary64)))) y) z x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (exp.f64 (*.f64 (log.f64 (/.f64 y #s(approx (- t x) (neg.f64 x)))) #s(literal -1 binary64)))))) |
(+.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 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| Outputs |
|---|
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))) |
5 calls:
| 78.0ms | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 49.0ms | t |
| 26.0ms | y |
| 26.0ms | x |
| 26.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.5% | 1 | x |
| 98.5% | 2 | y |
| 95.5% | 1 | z |
| 95.5% | 1 | t |
| 99.6% | 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 (+ (* z (- t x)) x) (*.f64 z #s(approx (- t x) (neg.f64 x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (neg.f64 x)) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 z (-.f64 t x)))) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) y) z x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) #s(approx (* z (- t x)) (*.f64 x (-.f64 (/.f64 (*.f64 z t) x) z))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))))) |
(fma.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)) x) |
(fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))) 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))))) #s(approx (+ (* z (- t x)) x) (fma.f64 x (-.f64 (/.f64 (*.f64 z t) x) z) x))) |
(fma.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x) |
(fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) y x) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) z) y x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (/.f64 (*.f64 (*.f64 (-.f64 t x) (+.f64 t x)) z) (+.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (+.f64 t x)) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (*.f64 (-.f64 t x) (+.f64 t x)) (+.f64 t x)) x)) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (- t x) (neg.f64 x)))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (*.f64 (*.f64 (-.f64 t x) (+.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 t x)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 t x))) x)) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y #s(approx (- t x) (neg.f64 x))))))) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* z (- x t)) (/ (+ (* z (/ (+ (* x (* (* x x) -1/3)) (* (* t (* t t)) 1/3)) y)) (* z 0)) y))) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 z (*.f64 x (*.f64 x x)))) (*.f64 y y))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) #s(approx (* y (+ t x)) (*.f64 x y)))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) #s(approx (* y (+ t x)) (*.f64 y t)))))) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y))) y) z x) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x)))) y) z x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) #s(approx (- t x) (neg.f64 x))) (*.f64 y (+.f64 t x)))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 (-.f64 t x) (*.f64 y (+.f64 t x))) (+.f64 t x))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 #s(approx (* (+ (* t t) (* x (+ t x))) (- t x)) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (fma.f64 x (/.f64 t (*.f64 y x)) (neg.f64 (/.f64 x y))))) y) z x) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 #s(approx (+ (* z (- x t)) (/ (+ (* z (/ (+ (* x (* (* x x) -1/3)) (* (* t (* t t)) 1/3)) y)) (* z 0)) y)) (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 z (*.f64 x (*.f64 x x))) (*.f64 y y)) (*.f64 x z)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 #s(approx (* (+ (* t t) (* x (+ t x))) (- t x)) (neg.f64 (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* z (- x t)) (/ (+ (* z (/ (+ (* x (* (* x x) -1/3)) (* (* t (* t t)) 1/3)) y)) (* z 0)) y))) (fma.f64 z (-.f64 t x) (*.f64 (*.f64 t (*.f64 t t)) (/.f64 (*.f64 #s(literal -1/3 binary64) z) (*.f64 y y))))))) |
(+.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))))) (fma.f64 z (*.f64 (*.f64 #s(approx (+ (* t t) (* x (+ t x))) (*.f64 t t)) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 #s(approx (+ (* t t) (* x (+ t x))) (*.f64 x x)) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (+ x (- (neg t) (/ (/ (- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6)) (neg y)) y))) (neg y)) (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) (*.f64 y (*.f64 y y))))))) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 z (-.f64 x t) #s(approx (/ (+ (* z (/ (+ (* x (* (* x x) -1/3)) (* (* t (* t t)) 1/3)) y)) (* z 0)) y) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) z) (*.f64 y y))))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 #s(approx (+ (* t t) (* x (+ t x))) (*.f64 t (+.f64 x t))) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 #s(approx (+ (* t t) (* x (+ t x))) (*.f64 x (+.f64 x t))) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)) |
(fma.f64 (*.f64 #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))) y) z x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 x (+.f64 (/.f64 (/.f64 t x) y) (/.f64 #s(literal -1 binary64) y))))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 t x)) (*.f64 (-.f64 t x) (/.f64 (+.f64 t x) y)))))) |
(+.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))))) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 z (-.f64 x t) (/.f64 #s(approx (+ (* z (/ (+ (* x (* (* x x) -1/3)) (* (* t (* t t)) 1/3)) y)) (* z 0)) (*.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 z (*.f64 x (*.f64 x x))) y))) y))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (+ x (- (neg t) (/ (/ (- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6)) (neg y)) y))) (neg y)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y y)) t) y))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (+ x (- (neg t) (/ (/ (- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6)) (neg y)) y))) (neg y)) (/.f64 (+.f64 x (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64))) (*.f64 y y))) (neg.f64 y)))))) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 z (-.f64 x t) (/.f64 (fma.f64 z #s(approx (/ (+ (* x (* (* x x) -1/3)) (* (* t (* t t)) 1/3)) y) (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) y)) (*.f64 z #s(literal 0 binary64))) y))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 (*.f64 (-.f64 t x) (/.f64 (+.f64 t x) y)) (*.f64 (-.f64 t x) (+.f64 t x))) (-.f64 t x))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 x (-.f64 (neg.f64 t) #s(approx (/ (/ (- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6)) (neg y)) y) (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) (*.f64 y y))))) (neg.f64 y))))) |
(fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.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))))) (*.f64 y z) x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) #s(approx (- t x) (fma.f64 x (/.f64 t x) (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 z (-.f64 x t) (/.f64 (fma.f64 z (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y) (*.f64 z #s(literal 0 binary64))) y))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x) (-.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))) (-.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))) (*.f64 x x)) (-.f64 (*.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))) x)) |
(*.f64 (*.f64 (fma.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))) x) (-.f64 x (*.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))))))) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 z (+.f64 x (neg.f64 t)) (/.f64 (fma.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (/.f64 z y) (*.f64 z #s(literal 0 binary64))) y))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 z (-.f64 t x)) (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x)))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 z (-.f64 t x))) (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))))) (*.f64 (fma.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))) x) (-.f64 x (*.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 x (-.f64 (neg.f64 t) (/.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y)) y))) (neg.f64 y))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (+ x (- (neg t) (/ (/ (- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6)) (neg y)) y))) (neg y)) (fma.f64 x (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal -1 binary64) y)) (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) (/.f64 t y))))))) |
(fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x) |
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (/.f64 (*.f64 (-.f64 t x) (fma.f64 x (+.f64 t x) (*.f64 t t))) (fma.f64 (*.f64 x (+.f64 t x)) (*.f64 (*.f64 x x) (*.f64 (+.f64 t x) (+.f64 t x))) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))))) (fma.f64 (*.f64 x (+.f64 t x)) (-.f64 (*.f64 x (+.f64 t x)) (*.f64 t t)) (*.f64 t (*.f64 t (*.f64 t t))))) x)) |
(fma.f64 (-.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))))) (*.f64 y z) x) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (*.f64 t (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 t t) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) y)))) (tanh.f64 (/.f64 x y))))) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (fma.f64 x (/.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 y (*.f64 y y))) (/.f64 x y)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x (*.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))))) (*.f64 (-.f64 x (*.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))))) (*.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))))) (*.f64 (-.f64 x (*.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))))) (-.f64 x (*.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) (-.f64 (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) x) (*.f64 x x)) (fma.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x)) (fma.f64 y (*.f64 (*.f64 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 (*.f64 x x) (*.f64 (*.f64 x (*.f64 y z)) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))))) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 t x))) #s(literal -1 binary64)))) y) z x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (exp.f64 (*.f64 (log.f64 (/.f64 y #s(approx (- t x) (neg.f64 x)))) #s(literal -1 binary64)))))) |
(+.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 |
|---|
(fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 #s(approx (* (+ (* t t) (* x (+ t x))) (- t x)) (neg.f64 (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)) |
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x) |
(fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x) |
5 calls:
| 32.0ms | x |
| 26.0ms | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 24.0ms | z |
| 24.0ms | y |
| 23.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.8% | 4 | x |
| 69.8% | 3 | z |
| 73.1% | 3 | t |
| 71.6% | 3 | y |
| 76.3% | 4 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
Compiled 39 to 28 computations (28.2% saved)
| Inputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z #s(approx (- t x) (neg.f64 x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (neg.f64 x)) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 z (-.f64 t x)))) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) y) z x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) #s(approx (* z (- t x)) (*.f64 x (-.f64 (/.f64 (*.f64 z t) x) z))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))))) |
(fma.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)) x) |
(fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))) 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))))) #s(approx (+ (* z (- t x)) x) (fma.f64 x (-.f64 (/.f64 (*.f64 z t) x) z) x))) |
(fma.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x) |
(fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) y x) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) z) y x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (/.f64 (*.f64 (*.f64 (-.f64 t x) (+.f64 t x)) z) (+.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (+.f64 t x)) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (*.f64 (-.f64 t x) (+.f64 t x)) (+.f64 t x)) x)) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (- t x) (neg.f64 x)))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (*.f64 (*.f64 (-.f64 t x) (+.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 t x)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 t x))) x)) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y #s(approx (- t x) (neg.f64 x))))))) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* z (- x t)) (/ (+ (* z (/ (+ (* x (* (* x x) -1/3)) (* (* t (* t t)) 1/3)) y)) (* z 0)) y))) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 z (*.f64 x (*.f64 x x)))) (*.f64 y y))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) #s(approx (* y (+ t x)) (*.f64 x y)))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) #s(approx (* y (+ t x)) (*.f64 y t)))))) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y))) y) z x) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x)))) y) z x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) #s(approx (- t x) (neg.f64 x))) (*.f64 y (+.f64 t x)))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 (-.f64 t x) (*.f64 y (+.f64 t x))) (+.f64 t x))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 #s(approx (* (+ (* t t) (* x (+ t x))) (- t x)) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (fma.f64 x (/.f64 t (*.f64 y x)) (neg.f64 (/.f64 x y))))) y) z x) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 #s(approx (+ (* z (- x t)) (/ (+ (* z (/ (+ (* x (* (* x x) -1/3)) (* (* t (* t t)) 1/3)) y)) (* z 0)) y)) (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 z (*.f64 x (*.f64 x x))) (*.f64 y y)) (*.f64 x z)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 #s(approx (* (+ (* t t) (* x (+ t x))) (- t x)) (neg.f64 (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* z (- x t)) (/ (+ (* z (/ (+ (* x (* (* x x) -1/3)) (* (* t (* t t)) 1/3)) y)) (* z 0)) y))) (fma.f64 z (-.f64 t x) (*.f64 (*.f64 t (*.f64 t t)) (/.f64 (*.f64 #s(literal -1/3 binary64) z) (*.f64 y y))))))) |
(+.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))))) (fma.f64 z (*.f64 (*.f64 #s(approx (+ (* t t) (* x (+ t x))) (*.f64 t t)) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 #s(approx (+ (* t t) (* x (+ t x))) (*.f64 x x)) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (+ x (- (neg t) (/ (/ (- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6)) (neg y)) y))) (neg y)) (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) (*.f64 y (*.f64 y y))))))) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 z (-.f64 x t) #s(approx (/ (+ (* z (/ (+ (* x (* (* x x) -1/3)) (* (* t (* t t)) 1/3)) y)) (* z 0)) y) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) z) (*.f64 y y))))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 #s(approx (+ (* t t) (* x (+ t x))) (*.f64 t (+.f64 x t))) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 #s(approx (+ (* t t) (* x (+ t x))) (*.f64 x (+.f64 x t))) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)) |
(fma.f64 (*.f64 #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))) y) z x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 x (+.f64 (/.f64 (/.f64 t x) y) (/.f64 #s(literal -1 binary64) y))))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 t x)) (*.f64 (-.f64 t x) (/.f64 (+.f64 t x) y)))))) |
(+.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))))) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 z (-.f64 x t) (/.f64 #s(approx (+ (* z (/ (+ (* x (* (* x x) -1/3)) (* (* t (* t t)) 1/3)) y)) (* z 0)) (*.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 z (*.f64 x (*.f64 x x))) y))) y))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (+ x (- (neg t) (/ (/ (- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6)) (neg y)) y))) (neg y)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y y)) t) y))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (+ x (- (neg t) (/ (/ (- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6)) (neg y)) y))) (neg y)) (/.f64 (+.f64 x (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64))) (*.f64 y y))) (neg.f64 y)))))) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 z (-.f64 x t) (/.f64 (fma.f64 z #s(approx (/ (+ (* x (* (* x x) -1/3)) (* (* t (* t t)) 1/3)) y) (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) y)) (*.f64 z #s(literal 0 binary64))) y))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 (*.f64 (-.f64 t x) (/.f64 (+.f64 t x) y)) (*.f64 (-.f64 t x) (+.f64 t x))) (-.f64 t x))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 x (-.f64 (neg.f64 t) #s(approx (/ (/ (- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6)) (neg y)) y) (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) (*.f64 y y))))) (neg.f64 y))))) |
(fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.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))))) (*.f64 y z) x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) #s(approx (- t x) (fma.f64 x (/.f64 t x) (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 z (-.f64 x t) (/.f64 (fma.f64 z (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y) (*.f64 z #s(literal 0 binary64))) y))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x) (-.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))) (-.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))) (*.f64 x x)) (-.f64 (*.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))) x)) |
(*.f64 (*.f64 (fma.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))) x) (-.f64 x (*.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))))))) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 z (+.f64 x (neg.f64 t)) (/.f64 (fma.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (/.f64 z y) (*.f64 z #s(literal 0 binary64))) y))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 z (-.f64 t x)) (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x)))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 z (-.f64 t x))) (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))))) (*.f64 (fma.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))) x) (-.f64 x (*.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 x (-.f64 (neg.f64 t) (/.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y)) y))) (neg.f64 y))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (+ x (- (neg t) (/ (/ (- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6)) (neg y)) y))) (neg y)) (fma.f64 x (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal -1 binary64) y)) (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) (/.f64 t y))))))) |
(fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x) |
| Outputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (neg.f64 x)) x)) |
(fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)) |
5 calls:
| 39.0ms | y |
| 34.0ms | t |
| 23.0ms | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 22.0ms | x |
| 21.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.9% | 3 | z |
| 66.0% | 3 | y |
| 62.4% | 3 | t |
| 65.0% | 4 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 63.5% | 4 | x |
Compiled 39 to 28 computations (28.2% saved)
| Inputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z #s(approx (- t x) (neg.f64 x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (neg.f64 x)) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 z (-.f64 t x)))) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) y) z x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) #s(approx (* z (- t x)) (*.f64 x (-.f64 (/.f64 (*.f64 z t) x) z))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))))) |
(fma.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)) x) |
(fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))) 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))))) #s(approx (+ (* z (- t x)) x) (fma.f64 x (-.f64 (/.f64 (*.f64 z t) x) z) x))) |
(fma.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x) |
(fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) y x) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) z) y x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (/.f64 (*.f64 (*.f64 (-.f64 t x) (+.f64 t x)) z) (+.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (+.f64 t x)) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (*.f64 (-.f64 t x) (+.f64 t x)) (+.f64 t x)) x)) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (- t x) (neg.f64 x)))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (*.f64 (*.f64 (-.f64 t x) (+.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 t x)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 t x))) x)) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y #s(approx (- t x) (neg.f64 x))))))) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* z (- x t)) (/ (+ (* z (/ (+ (* x (* (* x x) -1/3)) (* (* t (* t t)) 1/3)) y)) (* z 0)) y))) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 z (*.f64 x (*.f64 x x)))) (*.f64 y y))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) #s(approx (* y (+ t x)) (*.f64 x y)))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) #s(approx (* y (+ t x)) (*.f64 y t)))))) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y))) y) z x) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x)))) y) z x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) #s(approx (- t x) (neg.f64 x))) (*.f64 y (+.f64 t x)))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 (-.f64 t x) (*.f64 y (+.f64 t x))) (+.f64 t x))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 #s(approx (* (+ (* t t) (* x (+ t x))) (- t x)) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (fma.f64 x (/.f64 t (*.f64 y x)) (neg.f64 (/.f64 x y))))) y) z x) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 #s(approx (+ (* z (- x t)) (/ (+ (* z (/ (+ (* x (* (* x x) -1/3)) (* (* t (* t t)) 1/3)) y)) (* z 0)) y)) (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 z (*.f64 x (*.f64 x x))) (*.f64 y y)) (*.f64 x z)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 #s(approx (* (+ (* t t) (* x (+ t x))) (- t x)) (neg.f64 (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* z (- x t)) (/ (+ (* z (/ (+ (* x (* (* x x) -1/3)) (* (* t (* t t)) 1/3)) y)) (* z 0)) y))) (fma.f64 z (-.f64 t x) (*.f64 (*.f64 t (*.f64 t t)) (/.f64 (*.f64 #s(literal -1/3 binary64) z) (*.f64 y y))))))) |
(+.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))))) (fma.f64 z (*.f64 (*.f64 #s(approx (+ (* t t) (* x (+ t x))) (*.f64 t t)) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 #s(approx (+ (* t t) (* x (+ t x))) (*.f64 x x)) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (+ x (- (neg t) (/ (/ (- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6)) (neg y)) y))) (neg y)) (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) (*.f64 y (*.f64 y y))))))) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 z (-.f64 x t) #s(approx (/ (+ (* z (/ (+ (* x (* (* x x) -1/3)) (* (* t (* t t)) 1/3)) y)) (* z 0)) y) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) z) (*.f64 y y))))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 #s(approx (+ (* t t) (* x (+ t x))) (*.f64 t (+.f64 x t))) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 #s(approx (+ (* t t) (* x (+ t x))) (*.f64 x (+.f64 x t))) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)) |
(fma.f64 (*.f64 #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))) y) z x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 x (+.f64 (/.f64 (/.f64 t x) y) (/.f64 #s(literal -1 binary64) y))))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 t x)) (*.f64 (-.f64 t x) (/.f64 (+.f64 t x) y)))))) |
(+.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))))) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 z (-.f64 x t) (/.f64 #s(approx (+ (* z (/ (+ (* x (* (* x x) -1/3)) (* (* t (* t t)) 1/3)) y)) (* z 0)) (*.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 z (*.f64 x (*.f64 x x))) y))) y))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (+ x (- (neg t) (/ (/ (- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6)) (neg y)) y))) (neg y)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y y)) t) y))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (+ x (- (neg t) (/ (/ (- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6)) (neg y)) y))) (neg y)) (/.f64 (+.f64 x (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64))) (*.f64 y y))) (neg.f64 y)))))) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 z (-.f64 x t) (/.f64 (fma.f64 z #s(approx (/ (+ (* x (* (* x x) -1/3)) (* (* t (* t t)) 1/3)) y) (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) y)) (*.f64 z #s(literal 0 binary64))) y))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 (*.f64 (-.f64 t x) (/.f64 (+.f64 t x) y)) (*.f64 (-.f64 t x) (+.f64 t x))) (-.f64 t x))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 x (-.f64 (neg.f64 t) #s(approx (/ (/ (- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6)) (neg y)) y) (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) (*.f64 y y))))) (neg.f64 y))))) |
(fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.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))))) (*.f64 y z) x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) #s(approx (- t x) (fma.f64 x (/.f64 t x) (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 z (-.f64 x t) (/.f64 (fma.f64 z (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y) (*.f64 z #s(literal 0 binary64))) y))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x) (-.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))) (-.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))) (*.f64 x x)) (-.f64 (*.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))) x)) |
(*.f64 (*.f64 (fma.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))) x) (-.f64 x (*.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))))))) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 z (+.f64 x (neg.f64 t)) (/.f64 (fma.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (/.f64 z y) (*.f64 z #s(literal 0 binary64))) y))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 z (-.f64 t x)) (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x)))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 z (-.f64 t x))) (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))))) (*.f64 (fma.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))) x) (-.f64 x (*.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 x (-.f64 (neg.f64 t) (/.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y)) y))) (neg.f64 y))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (+ x (- (neg t) (/ (/ (- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6)) (neg y)) y))) (neg y)) (fma.f64 x (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal -1 binary64) y)) (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) (/.f64 t y))))))) |
| 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)) |
3 calls:
| 23.0ms | y |
| 22.0ms | z |
| 21.0ms | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 61.7% | 4 | z |
| 60.0% | 3 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 61.2% | 2 | y |
Compiled 29 to 20 computations (31% saved)
| Inputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z #s(approx (- t x) (neg.f64 x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (neg.f64 x)) x)) |
| Outputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (neg.f64 x)) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))) |
5 calls:
| 6.0ms | z |
| 2.0ms | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 2.0ms | y |
| 2.0ms | t |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.7% | 3 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 59.3% | 3 | z |
| 50.3% | 3 | x |
| 47.0% | 1 | t |
| 50.8% | 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 (+ (* z (- t x)) x) (*.f64 z #s(approx (- t x) (neg.f64 x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))) |
| Outputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))) |
5 calls:
| 3.0ms | x |
| 2.0ms | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 2.0ms | t |
| 2.0ms | z |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 29.2% | 1 | t |
| 29.2% | 1 | x |
| 29.2% | 1 | y |
| 29.2% | 1 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 29.2% | 1 | z |
Compiled 39 to 28 computations (28.2% saved)
| Inputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z #s(approx (- t x) (neg.f64 x))))) |
| Outputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z #s(approx (- t x) (neg.f64 x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) |
5 calls:
| 2.0ms | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 2.0ms | t |
| 2.0ms | y |
| 2.0ms | x |
| 2.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 19.6% | 1 | y |
| 19.6% | 1 | z |
| 23.4% | 2 | x |
| 25.0% | 3 | t |
| 19.6% | 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))) |
2 calls:
| 3.0ms | t |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 19.6% | 1 | x |
| 19.6% | 1 | t |
Compiled 10 to 8 computations (20% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.3621261145617717e+305 | +inf |
Compiled 22 to 19 computations (13.6% saved)
| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 6.789520355430051 | 742.3167729527837 |
| 21.0ms | -3.395940903602928e-21 | -4.247418504583689e-24 |
| 14.0ms | -1.2286944945839112e+83 | -7.087229358573568e+80 |
| 33.0ms | 341× | 0 | valid |
| 2.0ms | 11× | 1 | valid |
Compiled 978 to 563 computations (42.4% saved)
ival-div: 5.0ms (27.5% of total)ival-mult: 5.0ms (27.5% of total)ival-sub: 3.0ms (16.5% of total)ival-tanh: 3.0ms (16.5% of total)ival-add: 2.0ms (11% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 9.0ms | 4.440256342686468e+181 | 1.402220089732953e+182 |
| 18.0ms | 7.858163221154791e-151 | 3.3444573301350744e-143 |
| 16.0ms | 213× | 0 | valid |
| 2.0ms | 11× | 1 | valid |
Compiled 456 to 271 computations (40.6% saved)
ival-div: 3.0ms (27.7% of total)ival-mult: 3.0ms (27.7% of total)ival-tanh: 2.0ms (18.5% of total)ival-sub: 1.0ms (9.2% of total)ival-add: 1.0ms (9.2% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 1.9219440437581418e-124 | 1.2388450295494146e-119 |
| 8.0ms | 119× | 0 | valid |
| 1.0ms | 9× | 1 | valid |
Compiled 214 to 131 computations (38.8% saved)
ival-div: 2.0ms (32.1% of total)ival-mult: 2.0ms (32.1% of total)ival-add: 1.0ms (16.1% of total)ival-sub: 1.0ms (16.1% of total)ival-tanh: 1.0ms (16.1% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 2.0ms | 6.260071357169161e+21 | 6.563076462441089e+21 |
| 40.0ms | -39114322.84137986 | -1.9518176955914455e-5 |
| 35.0ms | 176× | 0 | valid |
Compiled 286 to 173 computations (39.5% saved)
ival-add: 22.0ms (71.8% of total)ival-mult: 3.0ms (9.8% of total)ival-tanh: 3.0ms (9.8% of total)ival-div: 2.0ms (6.5% of total)ival-sub: 1.0ms (3.3% 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 |
|---|---|---|
| 31.0ms | 4.0980693795737883e-165 | 1.3585383519010734e-159 |
| 15.0ms | -1.866165068037994e-163 | -1.5292131392192565e-167 |
| 20.0ms | 269× | 0 | valid |
| 0.0ms | 3× | 1 | valid |
Compiled 396 to 240 computations (39.4% saved)
ival-div: 4.0ms (32% of total)ival-mult: 4.0ms (32% of total)ival-tanh: 2.0ms (16% of total)ival-add: 1.0ms (8% of total)ival-sub: 1.0ms (8% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
| 26× | *-commutative_binary64 |
| 22× | +-commutative_binary64 |
| 18× | sub-neg_binary64 |
| 10× | neg-sub0_binary64 |
| 10× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 96 | 542 |
| 1 | 123 | 542 |
| 2 | 142 | 542 |
| 3 | 150 | 542 |
| 4 | 153 | 542 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal 199999999999999987850710501107292437200805744402346499063815431426464091260264678056866185148810154968737122361123243451574343874852720610604715976817337655499746028833640220821354205063248818116874396050971031981532793651016436653190982245392158996106920698373251448128152087616919197241498086962762874880 binary64)) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x))))) |
(if (<=.f64 x #s(literal -1399999999999999974044465188777845197044126695619203247650073834211578811250638848 binary64)) (fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x) (if (<=.f64 x #s(literal -1894149893993505/664613997892457936451903530140172288 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 #s(approx (* (+ (* t t) (* x (+ t x))) (- t x)) (neg.f64 (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)) (if (<=.f64 x #s(literal 66 binary64)) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x) (fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x)))) |
(if (<=.f64 y #s(literal 8154281252609543/56236422431789954785131731346074773235871213978773957913759444657647969758393598378988008576298635714374011382919011189040103325693678746112606439760814548189184 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (neg.f64 x)) x)) (if (<=.f64 y #s(literal 44999999999999999955495798333898620405680322187545055367581477574387029527347956883428302628152241373453918209956920739314319665007276244840297960766511853917025569116199935260229632 binary64)) (fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)))) |
(if (<=.f64 y #s(literal 8722064691547283/2907354897182427562197295231552018137414565442749272241125960796722557152453591693304764202855054262243050086425064711734138406514458624 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 -61/2 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 6400000000000000000000 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 -6224273353321489/2074757784440496479256203931845580575506223116121218449997828664845326405706454073199853524473551897144098943305650394591197575537705887653943437417056981843530590901700754761842688 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 3890170845825931/8104522595470689372094546608771799123071184047348509570304018222052056272290836223436927829974812098219136497287696853871865529444163623648216552410378835326291370709768573288448 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z #s(approx (- t x) (neg.f64 x))))) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) |
| Outputs |
|---|
(if (<=.f64 (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal 199999999999999987850710501107292437200805744402346499063815431426464091260264678056866185148810154968737122361123243451574343874852720610604715976817337655499746028833640220821354205063248818116874396050971031981532793651016436653190982245392158996106920698373251448128152087616919197241498086962762874880 binary64)) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x))))) |
(if (<=.f64 x #s(literal -1399999999999999974044465188777845197044126695619203247650073834211578811250638848 binary64)) (fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x) (if (<=.f64 x #s(literal -1894149893993505/664613997892457936451903530140172288 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 #s(approx (* (+ (* t t) (* x (+ t x))) (- t x)) (neg.f64 (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)) (if (<=.f64 x #s(literal 66 binary64)) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x) (fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x)))) |
(if (<=.f64 x #s(literal -1399999999999999974044465188777845197044126695619203247650073834211578811250638848 binary64)) (fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x) (if (<=.f64 x #s(literal -1894149893993505/664613997892457936451903530140172288 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 #s(approx (* (+ (* t t) (* x (+ t x))) (- t x)) (neg.f64 (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 x t))))) x)) (if (<=.f64 x #s(literal 66 binary64)) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x) (fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x)))) |
(if (<=.f64 y #s(literal 8154281252609543/56236422431789954785131731346074773235871213978773957913759444657647969758393598378988008576298635714374011382919011189040103325693678746112606439760814548189184 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (neg.f64 x)) x)) (if (<=.f64 y #s(literal 44999999999999999955495798333898620405680322187545055367581477574387029527347956883428302628152241373453918209956920739314319665007276244840297960766511853917025569116199935260229632 binary64)) (fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)))) |
(if (<=.f64 y #s(literal 8722064691547283/2907354897182427562197295231552018137414565442749272241125960796722557152453591693304764202855054262243050086425064711734138406514458624 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 -61/2 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 6400000000000000000000 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 -6224273353321489/2074757784440496479256203931845580575506223116121218449997828664845326405706454073199853524473551897144098943305650394591197575537705887653943437417056981843530590901700754761842688 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 3890170845825931/8104522595470689372094546608771799123071184047348509570304018222052056272290836223436927829974812098219136497287696853871865529444163623648216552410378835326291370709768573288448 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z #s(approx (- t x) (neg.f64 x))))) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) |
| 13 696× | lower-fma.f64 |
| 13 696× | lower-fma.f32 |
| 13 632× | lower-fma.f64 |
| 13 632× | lower-fma.f32 |
| 13 264× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 731 | 36602 |
| 1 | 2452 | 27560 |
| 0 | 8889 | 26808 |
| 0 | 826 | 33234 |
| 1 | 2790 | 25176 |
| 0 | 9334 | 24535 |
| 0 | 495 | 10076 |
| 1 | 1678 | 7475 |
| 2 | 6942 | 7471 |
| 0 | 8224 | 7285 |
| 0 | 12 | 48 |
| 0 | 20 | 48 |
| 1 | 99 | 48 |
| 2 | 871 | 48 |
| 0 | 8208 | 47 |
| 0 | 52 | 390 |
| 0 | 90 | 371 |
| 1 | 373 | 353 |
| 2 | 3239 | 353 |
| 0 | 8990 | 338 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 597 to 271 computations (54.6% saved)
(abs y)
Compiled 640 to 218 computations (65.9% saved)
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