
Time bar (total: 12.5s)
| 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)
| 1.1s | 8 023× | 0 | valid |
| 86.0ms | 233× | 1 | valid |
ival-mult: 167.0ms (28% of total)ival-div: 154.0ms (25.8% of total)ival-tanh: 110.0ms (18.5% of total)ival-sub: 77.0ms (12.9% of total)ival-add: 74.0ms (12.4% of total)ival-true: 6.0ms (1% of total)adjust: 5.0ms (0.8% of total)ival-assert: 3.0ms (0.5% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 18 | 0 | - | 2 | (-2.2668605530759905e-284 -1.6165294604518815e+301 -1.5484155798679599e-198 -9.083516232403213e-17) | (*.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 | 9 | 0 |
*.f64 | (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) | o*u | 3 | 0 |
| ↳ | (*.f64 y z) | overflow | 33 | |
| ↳ | (/.f64 t y) | underflow | 21 | |
| ↳ | (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) | underflow | 46 | |
| ↳ | (tanh.f64 (/.f64 x y)) | underflow | 31 | |
| ↳ | (/.f64 x y) | underflow | 31 | |
| ↳ | (tanh.f64 (/.f64 t y)) | underflow | 21 | |
*.f64 | (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) | n*u | 2 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 13 | 2 |
| - | 1 | 240 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 13 | 0 | 2 |
| - | 1 | 0 | 240 |
| number | freq |
|---|---|
| 0 | 242 |
| 1 | 14 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 63.0ms | 434× | 0 | valid |
| 16.0ms | 66× | 2 | valid |
| 2.0ms | 12× | 1 | valid |
Compiled 139 to 40 computations (71.2% saved)
ival-mult: 12.0ms (30.5% of total)ival-div: 10.0ms (25.4% of total)ival-tanh: 6.0ms (15.2% of total)ival-sub: 5.0ms (12.7% of total)adjust: 3.0ms (7.6% of total)ival-add: 3.0ms (7.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
| 12 492× | lower-fma.f64 |
| 12 492× | lower-fma.f32 |
| 3 782× | lower-*.f32 |
| 3 778× | lower-*.f64 |
| 2 164× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 76 | 226 |
| 1 | 399 | 224 |
| 2 | 1184 | 210 |
| 3 | 4721 | 210 |
| 0 | 12 | 15 |
| 0 | 20 | 15 |
| 1 | 62 | 15 |
| 2 | 165 | 15 |
| 3 | 427 | 15 |
| 4 | 1658 | 15 |
| 5 | 6383 | 15 |
| 0 | 8408 | 14 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| Outputs |
|---|
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x) |
(abs y)
Compiled 19 to 12 computations (36.8% saved)
Compiled 4 to 4 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 94.6% | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
Compiled 19 to 12 computations (36.8% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) | |
| cost-diff | 0 | (*.f64 y z) | |
| cost-diff | 0 | (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) | |
| cost-diff | 128 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 12 492× | lower-fma.f64 |
| 12 492× | lower-fma.f32 |
| 3 782× | lower-*.f32 |
| 3 778× | lower-*.f64 |
| 2 164× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 58 |
| 0 | 20 | 58 |
| 1 | 62 | 58 |
| 2 | 165 | 58 |
| 3 | 427 | 58 |
| 4 | 1658 | 58 |
| 5 | 6383 | 58 |
| 0 | 8408 | 57 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
x |
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
(*.f64 y z) |
y |
z |
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
(tanh.f64 (/.f64 t y)) |
(/.f64 t y) |
t |
(tanh.f64 (/.f64 x y)) |
(/.f64 x y) |
| Outputs |
|---|
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x) |
x |
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
(*.f64 y z) |
y |
z |
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
(tanh.f64 (/.f64 t y)) |
(/.f64 t y) |
t |
(tanh.f64 (/.f64 x y)) |
(/.f64 x y) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 y z) | |
| accuracy | 0.0078125 | (tanh.f64 (/.f64 t y)) | |
| accuracy | 0.015625 | (tanh.f64 (/.f64 x y)) | |
| accuracy | 4.188708599740364 | (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
| 18.0ms | 217× | 0 | valid |
| 8.0ms | 33× | 2 | valid |
| 1.0ms | 6× | 1 | valid |
Compiled 60 to 14 computations (76.7% saved)
ival-div: 5.0ms (31.9% of total)ival-mult: 4.0ms (25.5% of total)ival-tanh: 3.0ms (19.1% of total)ival-sub: 1.0ms (6.4% of total)adjust: 1.0ms (6.4% of total)ival-add: 1.0ms (6.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))> |
#<alt (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))> |
#<alt (*.f64 y z)> |
#<alt (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))> |
#<alt (tanh.f64 (/.f64 x y))> |
#<alt (tanh.f64 (/.f64 t y))> |
| Outputs |
|---|
#<alt (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))> |
#<alt (+ (* x (+ 1 (* -1 z))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))> |
#<alt (+ (* x (+ 1 (+ (* -1 z) (* 1/3 (/ (* (pow x 2) z) (pow y 2)))))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))> |
#<alt (+ (* x (+ 1 (+ (* -1 z) (* (pow x 2) (+ (* -2/15 (/ (* (pow x 2) z) (pow y 4))) (* 1/3 (/ z (pow y 2)))))))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))> |
#<alt x> |
#<alt (* x (+ 1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)))> |
#<alt (* x (+ 1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)))> |
#<alt (* x (+ 1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1)))> |
#<alt x> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* z (- t x)))> |
#<alt (+ x (+ (* z (- t x)) (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y)))> |
#<alt (+ x (+ (* z (- t x)) (+ (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y) (/ (* z (- (+ (* 1/2 (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3))))) (* 1/2 (pow x 3))) (+ (* 1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3))))) (* 1/2 (pow t 3))))) (pow y 2)))))> |
#<alt (+ x (+ (* z (- t x)) (+ (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y) (+ (/ (* z (- (+ (* -1/2 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))))) (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (* 1/2 (+ (* -1 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/6 (pow t 3)))))) (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (* 1/12 (pow t 4)))))))) (+ (* -1/2 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (* -1/2 (pow t 3))))) (+ (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2)))) (* 1/2 (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4)))))))))) (pow y 3)) (/ (* z (- (+ (* 1/2 (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3))))) (* 1/2 (pow x 3))) (+ (* 1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3))))) (* 1/2 (pow t 3))))) (pow y 2))))))> |
#<alt (+ x (* -1 (* z (- (* -1 t) (* -1 x)))))> |
#<alt (+ x (+ (* -1 (* z (- (* -1 t) (* -1 x)))) (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y)))> |
#<alt (+ x (+ (* -1 (* z (- (* -1 t) (* -1 x)))) (* -1 (/ (+ (* -1 (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))))) (/ (* z (- (+ (* -1/2 (pow x 3)) (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))))) (+ (* -1/2 (pow t 3)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))))) y)) y))))> |
#<alt (+ x (+ (* -1 (* z (- (* -1 t) (* -1 x)))) (* -1 (/ (+ (* -1 (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))))) (* -1 (/ (+ (* -1 (* z (- (+ (* -1/2 (pow x 3)) (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))))) (+ (* -1/2 (pow t 3)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))))) (/ (* z (- (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (+ (* 1/2 (* x (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) (* 1/2 (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (+ (* 1/12 (pow t 4)) (* t (+ (* -1/6 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))))))))) (+ (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2)))) (+ (* 1/2 (* t (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))) (* 1/2 (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (+ (* 1/12 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))))))))) y)) y))) y))))> |
#<alt x> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* z (+ (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (/ x z)))> |
#<alt (* z (+ (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (/ x z)))> |
#<alt (* z (+ (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (/ x z)))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* -1 (* z (+ (* -1 (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (* -1 (/ x z)))))> |
#<alt (* -1 (* z (+ (* -1 (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (* -1 (/ x z)))))> |
#<alt (* -1 (* z (+ (* -1 (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (* -1 (/ x z)))))> |
#<alt (+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
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#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))> |
#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))> |
#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))> |
#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))> |
#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))> |
#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))> |
#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))> |
#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))> |
#<alt (/ (- t x) y)> |
#<alt (/ (- (+ t (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y))) (+ x (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)))) y)> |
#<alt (/ (- (+ t (+ (* 1/2 (/ (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3)))) (pow y 2))) (+ (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y)) (* 1/2 (/ (pow x 3) (pow y 2)))))) (+ x (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3)))) (pow y 2))) (+ (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)) (* 1/2 (/ (pow t 3) (pow y 2))))))) y)> |
#<alt (/ (- (+ t (+ (* -1/2 (/ (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (pow y 3))) (+ (* 1/4 (/ (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/6 (pow t 3)))))) (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (* 1/12 (pow t 4))))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3)))) (pow y 2))) (+ (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y)) (* 1/2 (/ (pow x 3) (pow y 2))))))))) (+ x (+ (* -1/2 (/ (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (* -1/2 (pow t 3)))) (pow y 3))) (+ (* 1/4 (/ (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3)))) (pow y 2))) (+ (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)) (* 1/2 (/ (pow t 3) (pow y 2)))))))))) y)> |
#<alt (* -1 (/ (- (* -1 t) (* -1 x)) y))> |
#<alt (* -1 (/ (- (+ (* -1 t) (* -1 (/ (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) (* -1 x)) y))> |
#<alt (* -1 (/ (- (+ (* -1 t) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (pow x 3)) (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))))) (+ (* -1/2 (pow t 3)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))) y)) (* 1/2 (+ (* -1 (pow t 2)) (pow t 2)))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) (* -1 x)) y))> |
#<alt (* -1 (/ (- (+ (* -1 t) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (+ (* 1/2 (* x (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) (* 1/2 (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (+ (* 1/12 (pow t 4)) (* t (+ (* -1/6 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))))))))) (+ (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2)))) (+ (* 1/2 (* t (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))) (* 1/2 (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (+ (* 1/12 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))))))))) y)) (+ (* -1/2 (pow x 3)) (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))))) (+ (* -1/2 (pow t 3)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))) y)) (* 1/2 (+ (* -1 (pow t 2)) (pow t 2)))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) (* -1 x)) y))> |
#<alt (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))> |
#<alt (- (+ (* -1 (/ x y)) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))> |
#<alt (- (+ (* x (- (* 1/3 (/ (pow x 2) (pow y 3))) (/ 1 y))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))> |
#<alt (- (+ (* x (- (* (pow x 2) (+ (* -2/15 (/ (pow x 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))> |
#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))> |
#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))> |
#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))> |
#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))> |
#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))> |
#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))> |
#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))> |
#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))> |
#<alt (/ 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)> |
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#<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 (/ t y)> |
#<alt (* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y)))> |
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#<alt (/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))> |
#<alt (/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))> |
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#<alt (/ (- (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))> |
51 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 136.0ms | x | @ | inf | (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) |
| 7.0ms | t | @ | -inf | (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) |
| 5.0ms | y | @ | inf | (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) |
| 3.0ms | y | @ | -inf | (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) |
| 3.0ms | t | @ | 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 | 6945 | 7471 |
| 0 | 8227 | 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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(/ t y) |
(* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y))) |
(* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) |
(* t (+ (* (pow t 2) (- (* (pow t 2) (+ (* -17/315 (/ (pow t 2) (pow y 7))) (* 2/15 (/ 1 (pow y 5))))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) |
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(/ t y) |
(/ (+ t (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y))) y) |
(/ (- (+ t (+ (* 1/2 (/ (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y)))) (* 1/2 (/ (pow t 3) (pow y 2)))) y) |
(/ (- (+ t (+ (* 1/2 (/ (+ (* -1 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/6 (pow t 3)))))) (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (* 1/12 (pow t 4))))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y))))) (+ (* -1/2 (/ (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (* -1/2 (pow t 3)))) (pow y 3))) (+ (* 1/4 (/ (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2))) (pow y 3))) (* 1/2 (/ (pow t 3) (pow y 2)))))) y) |
(/ t y) |
(* -1 (/ (+ (* -1 t) (* -1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y))) y)) |
(* -1 (/ (+ (* -1 t) (* -1 (/ (+ (* -1 (/ (- (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))) (* -1/2 (pow t 3))) y)) (* 1/2 (+ (* -1 (pow t 2)) (pow t 2)))) y))) y)) |
(* -1 (/ (+ (* -1 t) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (+ (* 1/12 (pow t 4)) (* t (+ (* -1/6 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))))))) (+ (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2)))) (* 1/2 (* t (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))))) y)) (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))))) (* -1/2 (pow t 3))) y)) (* 1/2 (+ (* -1 (pow t 2)) (pow t 2)))) y))) y)) |
| 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 (/.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 y z) (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 (/.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 y z) (fma.f64 x (fma.f64 x (*.f64 x (*.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 y y)))) (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 (/.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 y z) (fma.f64 x (fma.f64 (*.f64 x x) (fma.f64 #s(literal -2/15 binary64) (/.f64 (*.f64 z (*.f64 x x)) (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 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)) (*.f64 t (*.f64 t t))))) (/.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)))))) |
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(+ 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)) |
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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 t (*.f64 t t))) (*.f64 y y))) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y y))) t) y) |
(/ (- (+ t (+ (* 1/2 (/ (+ (* -1 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/6 (pow t 3)))))) (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (* 1/12 (pow t 4))))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y))))) (+ (* -1/2 (/ (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (* -1/2 (pow t 3)))) (pow y 3))) (+ (* 1/4 (/ (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2))) (pow y 3))) (* 1/2 (/ (pow t 3) (pow y 2)))))) y) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (fma.f64 (*.f64 t t) (*.f64 (*.f64 (*.f64 t 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 (*.f64 t (*.f64 t t)) #s(literal 1/6 binary64)))) (*.f64 y (*.f64 y y))) (+.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 t (*.f64 t t))) (*.f64 y y)))) (-.f64 t (fma.f64 t (*.f64 (/.f64 (fma.f64 t (*.f64 #s(literal 1/2 binary64) (*.f64 t t)) (*.f64 t (*.f64 (*.f64 t t) #s(literal -1/2 binary64)))) (*.f64 y (*.f64 y y))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y y)) (/.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))))))) y) |
(/ t y) |
(/.f64 t y) |
(* -1 (/ (+ (* -1 t) (* -1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y))) y)) |
(neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 0 binary64) y) t) y)) |
(* -1 (/ (+ (* -1 t) (* -1 (/ (+ (* -1 (/ (- (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))) (* -1/2 (pow t 3))) y)) (* 1/2 (+ (* -1 (pow t 2)) (pow t 2)))) y))) y)) |
(/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 t (*.f64 t t))) (*.f64 y y)) (neg.f64 t)) (neg.f64 y)) |
(* -1 (/ (+ (* -1 t) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (+ (* 1/12 (pow t 4)) (* t (+ (* -1/6 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))))))) (+ (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2)))) (* 1/2 (* t (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))))) y)) (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))))) (* -1/2 (pow t 3))) y)) (* 1/2 (+ (* -1 (pow t 2)) (pow t 2)))) y))) y)) |
(/.f64 (-.f64 (/.f64 (/.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 t (*.f64 t (*.f64 t t))) #s(literal -1/12 binary64) (*.f64 t (*.f64 (*.f64 t (*.f64 t t)) #s(literal -1/6 binary64)))) (*.f64 (*.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal -1/2 binary64)))) #s(literal -1/4 binary64))) (fma.f64 (fma.f64 t (*.f64 #s(literal 1/2 binary64) (*.f64 t t)) (*.f64 t (*.f64 (*.f64 t t) #s(literal -1/2 binary64)))) (*.f64 t #s(literal 1/2 binary64)) #s(literal 0 binary64))) (neg.f64 y))) (neg.f64 y)) (neg.f64 y)) t) (neg.f64 y)) |
| 5 094× | lower-*.f32 |
| 5 090× | lower-*.f64 |
| 4 102× | lower-/.f32 |
| 4 098× | lower-/.f64 |
| 2 936× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 48 |
| 0 | 20 | 48 |
| 1 | 99 | 48 |
| 2 | 871 | 48 |
| 0 | 8208 | 47 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
(*.f64 y z) |
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
(tanh.f64 (/.f64 x y)) |
(tanh.f64 (/.f64 t 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)))) |
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(/.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 (neg.f64 (expm1.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) y)))))) |
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y)))))) |
(tanh.f64 (/.f64 t y)) |
Compiled 22 911 to 1 958 computations (91.5% saved)
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 505 | 7 | 512 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 506 | 7 | 513 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 98.1% | (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) |
| 65.3% | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) | |
| ▶ | 65.7% | (+.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))))) | |
| ▶ | 49.8% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) |
| ▶ | 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 #s(literal 1/3 binary64) (*.f64 t (*.f64 t t)))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) (/.f64 z y) (*.f64 z #s(literal 0 binary64))) y))))) |
| ▶ | 64.3% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)) |
Compiled 320 to 186 computations (41.9% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) | |
| cost-diff | 0 | (*.f64 y z) | |
| cost-diff | 0 | (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) | |
| cost-diff | 128 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))) | |
| cost-diff | 192 | (fma.f64 z (+.f64 x (neg.f64 t)) (/.f64 (fma.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 t (*.f64 t t)))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) (/.f64 z y) (*.f64 z #s(literal 0 binary64))) y)) | |
| cost-diff | 320 | (*.f64 z #s(literal 0 binary64)) | |
| cost-diff | 384 | (/.f64 (fma.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 t (*.f64 t t)))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) (/.f64 z y) (*.f64 z #s(literal 0 binary64))) y) | |
| cost-diff | 1344 | (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 t (*.f64 t t)))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) | |
| cost-diff | 0 | #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) | |
| cost-diff | 0 | (*.f64 y z) | |
| cost-diff | 0 | (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) | |
| cost-diff | 128 | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) | |
| cost-diff | 0 | (-.f64 t x) | |
| cost-diff | 0 | (fma.f64 z (-.f64 t x) x) | |
| cost-diff | 0 | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)) | |
| cost-diff | 0 | (tanh.f64 (/.f64 t y)) | |
| cost-diff | 0 | (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) | |
| cost-diff | 0 | (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) | |
| cost-diff | 0 | (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) |
| 9 618× | lower-fma.f32 |
| 9 608× | lower-fma.f64 |
| 4 518× | lower-*.f32 |
| 4 496× | lower-*.f64 |
| 2 476× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 562 |
| 0 | 94 | 522 |
| 1 | 203 | 492 |
| 2 | 461 | 450 |
| 3 | 1188 | 450 |
| 4 | 4008 | 429 |
| 0 | 8091 | 426 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) |
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) |
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
(tanh.f64 (/.f64 t y)) |
(/.f64 t y) |
t |
y |
(tanh.f64 (/.f64 x y)) |
(/.f64 x y) |
x |
z |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)) |
(fma.f64 z (-.f64 t x) x) |
z |
(-.f64 t x) |
t |
x |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) |
x |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) |
(*.f64 y z) |
y |
z |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) |
(/.f64 (-.f64 t x) y) |
(-.f64 t x) |
t |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 z (+.f64 x (neg.f64 t)) (/.f64 (fma.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 t (*.f64 t t)))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) (/.f64 z 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 (neg.f64 t)) (/.f64 (fma.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 t (*.f64 t t)))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) (/.f64 z y) (*.f64 z #s(literal 0 binary64))) y)))) |
(neg.f64 (fma.f64 z (+.f64 x (neg.f64 t)) (/.f64 (fma.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 t (*.f64 t t)))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) (/.f64 z y) (*.f64 z #s(literal 0 binary64))) y))) |
(fma.f64 z (+.f64 x (neg.f64 t)) (/.f64 (fma.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 t (*.f64 t t)))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) (/.f64 z y) (*.f64 z #s(literal 0 binary64))) y)) |
z |
(+.f64 x (neg.f64 t)) |
(neg.f64 t) |
t |
(/.f64 (fma.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 t (*.f64 t t)))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) (/.f64 z y) (*.f64 z #s(literal 0 binary64))) y) |
(fma.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 t (*.f64 t t)))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) (/.f64 z y) (*.f64 z #s(literal 0 binary64))) |
(-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 t (*.f64 t t)))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 t (*.f64 t t)))) |
(*.f64 (*.f64 x x) #s(literal -1/2 binary64)) |
(*.f64 x x) |
#s(literal -1/2 binary64) |
(*.f64 #s(literal 1/3 binary64) (*.f64 t (*.f64 t t))) |
#s(literal 1/3 binary64) |
(*.f64 t (*.f64 t t)) |
(*.f64 t t) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 x x) #s(literal -1/6 binary64)) |
#s(literal -1/6 binary64) |
(/.f64 z y) |
y |
(*.f64 z #s(literal 0 binary64)) |
#s(literal 0 binary64) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
x |
(*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
(*.f64 y z) |
y |
z |
(-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
#s(approx (tanh (/ t y)) (/.f64 t y)) |
(/.f64 t y) |
t |
(tanh.f64 (/.f64 x y)) |
(/.f64 x y) |
| Outputs |
|---|
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) |
(fma.f64 y (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) x) |
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) |
(*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
(tanh.f64 (/.f64 t y)) |
(/.f64 t y) |
t |
y |
(tanh.f64 (/.f64 x y)) |
(/.f64 x y) |
x |
z |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)) |
(fma.f64 z (-.f64 t x) x) |
z |
(-.f64 t x) |
t |
x |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) |
(fma.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x) |
x |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) |
(*.f64 y z) |
y |
z |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) |
(/.f64 (-.f64 t x) y) |
(-.f64 t x) |
t |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 z (+.f64 x (neg.f64 t)) (/.f64 (fma.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 t (*.f64 t t)))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) (/.f64 z 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 (*.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x)))) (*.f64 y y)))))) |
x |
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 z (+.f64 x (neg.f64 t)) (/.f64 (fma.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 t (*.f64 t t)))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) (/.f64 z 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 (*.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x)))) (*.f64 y y))))) |
(neg.f64 (fma.f64 z (+.f64 x (neg.f64 t)) (/.f64 (fma.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 t (*.f64 t t)))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) (/.f64 z y) (*.f64 z #s(literal 0 binary64))) y))) |
(*.f64 z (-.f64 (-.f64 t x) (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x)))) (*.f64 y y)))) |
(fma.f64 z (+.f64 x (neg.f64 t)) (/.f64 (fma.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 t (*.f64 t t)))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) (/.f64 z y) (*.f64 z #s(literal 0 binary64))) y)) |
(*.f64 z (+.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x)))) (*.f64 y y)) (-.f64 x t))) |
z |
(+.f64 x (neg.f64 t)) |
(-.f64 x t) |
(neg.f64 t) |
t |
(/.f64 (fma.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 t (*.f64 t t)))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) (/.f64 z y) (*.f64 z #s(literal 0 binary64))) y) |
(*.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x)))) (/.f64 z (*.f64 y y))) |
(fma.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 t (*.f64 t t)))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) (/.f64 z y) (*.f64 z #s(literal 0 binary64))) |
(*.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x)))) (/.f64 z y)) |
(-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 t (*.f64 t t)))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) |
(*.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x)))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 t (*.f64 t t)))) |
(fma.f64 t (*.f64 #s(literal 1/3 binary64) (*.f64 t t)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 x x) #s(literal -1/2 binary64)) |
(*.f64 x x) |
#s(literal -1/2 binary64) |
(*.f64 #s(literal 1/3 binary64) (*.f64 t (*.f64 t t))) |
(*.f64 t (*.f64 #s(literal 1/3 binary64) (*.f64 t t))) |
#s(literal 1/3 binary64) |
(*.f64 t (*.f64 t t)) |
(*.f64 t t) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 x x) #s(literal -1/6 binary64)) |
#s(literal -1/6 binary64) |
(/.f64 z y) |
y |
(*.f64 z #s(literal 0 binary64)) |
#s(literal 0 binary64) |
#s(literal 0 binary64) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(fma.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) x) |
x |
(*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
(*.f64 y z) |
y |
z |
(-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
#s(approx (tanh (/ t y)) (/.f64 t y)) |
(/.f64 t y) |
t |
(tanh.f64 (/.f64 x y)) |
(/.f64 x y) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 y z) | |
| accuracy | 0.015625 | (tanh.f64 (/.f64 x y)) | |
| accuracy | 4.188708599740364 | (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) | |
| accuracy | 30.94597302228525 | #s(approx (tanh (/ t y)) (/.f64 t y)) | |
| accuracy | 4.956436087932881 | (/.f64 (fma.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 t (*.f64 t t)))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) (/.f64 z y) (*.f64 z #s(literal 0 binary64))) y) | |
| accuracy | 8.446473079243585 | (fma.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 t (*.f64 t t)))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) (/.f64 z y) (*.f64 z #s(literal 0 binary64))) | |
| accuracy | 18.74992362571762 | (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 t (*.f64 t t)))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) | |
| accuracy | 43.10198084745565 | #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 z (+.f64 x (neg.f64 t)) (/.f64 (fma.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 t (*.f64 t t)))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) (/.f64 z y) (*.f64 z #s(literal 0 binary64))) y)))) | |
| accuracy | 0 | (*.f64 y z) | |
| accuracy | 0.0078125 | (/.f64 (-.f64 t x) y) | |
| accuracy | 4.188708599740364 | (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) | |
| accuracy | 41.941109022003445 | #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) | |
| accuracy | 0 | (-.f64 t x) | |
| accuracy | 0.0078125 | (fma.f64 z (-.f64 t x) x) | |
| accuracy | 22.83018922718852 | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)) | |
| accuracy | 0.0078125 | (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) | |
| accuracy | 0.0078125 | (tanh.f64 (/.f64 t y)) | |
| accuracy | 0.015625 | (tanh.f64 (/.f64 x y)) | |
| accuracy | 2.1819852465300515 | (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) |
| 70.0ms | 217× | 0 | valid |
| 26.0ms | 33× | 2 | valid |
| 6.0ms | 6× | 1 | valid |
Compiled 459 to 45 computations (90.2% saved)
ival-mult: 24.0ms (34.7% of total)ival-div: 14.0ms (20.2% of total)ival-add: 10.0ms (14.5% of total)const: 7.0ms (10.1% of total)adjust: 5.0ms (7.2% of total)ival-sub: 4.0ms (5.8% of total)ival-tanh: 3.0ms (4.3% of total)ival-neg: 2.0ms (2.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)> |
#<alt (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y)> |
#<alt (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))> |
#<alt (tanh.f64 (/.f64 t y))> |
#<alt #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x))> |
#<alt (fma.f64 z (-.f64 t x) x)> |
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#<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)))> |
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#<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 #s(literal 1/3 binary64) (*.f64 t (*.f64 t t)))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))> |
#<alt (/.f64 (fma.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 t (*.f64 t t)))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) (/.f64 z y) (*.f64 z #s(literal 0 binary64))) y)> |
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#<alt #s(approx (tanh (/ t y)) (/.f64 t y))> |
| Outputs |
|---|
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#<alt (+ x (* -1 (* z (- (* -1 t) (* -1 x)))))> |
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#<alt (+ x (+ (* -1 (* z (- (* -1 t) (* -1 x)))) (* -1 (/ (+ (* -1 (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))))) (* -1 (/ (+ (* -1 (* z (- (+ (* -1/2 (pow x 3)) (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))))) (+ (* -1/2 (pow t 3)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))))) (/ (* z (- (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (+ (* 1/2 (* x (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) (* 1/2 (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (+ (* 1/12 (pow t 4)) (* t (+ (* -1/6 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))))))))) (+ (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2)))) (+ (* 1/2 (* t (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))) (* 1/2 (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (+ (* 1/12 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))))))))) y)) y))) y))))> |
#<alt (* 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 (+ (* -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)))> |
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#<alt x> |
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#<alt x> |
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#<alt (+ (* t (+ 1 (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 4))) (* 1/3 (/ 1 (pow y 2))))))) (* y (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))> |
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#<alt x> |
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#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
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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)))))))))> |
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#<alt (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))> |
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#<alt (- (+ (* t (+ (* -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))))))> |
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#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))> |
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#<alt (/ (- t x) y)> |
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#<alt (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))> |
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#<alt (- (+ (* 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)))))))> |
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#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))> |
#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))> |
#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))> |
#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))> |
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#<alt (* 1/3 (pow t 3))> |
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#<alt x> |
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#<alt x> |
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#<alt (* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1)))> |
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#<alt x> |
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#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
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#<alt (+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
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#<alt (* z (- t x))> |
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#<alt (* -1 (* z (- (* -1 t) (* -1 x))))> |
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#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))> |
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#<alt (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<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)))))))))> |
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213 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | t | @ | 0 | (/ (+ (* (- (+ (* x (* (* x x) -1/2)) (* 1/3 (* t (* t t)))) (* x (* (* x x) -1/6))) (/ z y)) (* z 0)) y) |
| 3.0ms | y | @ | 0 | (- (tanh (/ t y)) (tanh (/ x y))) |
| 2.0ms | t | @ | inf | (/ (+ (* (- (+ (* x (* (* x x) -1/2)) (* 1/3 (* t (* t t)))) (* x (* (* x x) -1/6))) (/ z y)) (* z 0)) y) |
| 2.0ms | z | @ | 0 | (/ (+ (* (- (+ (* x (* (* x x) -1/2)) (* 1/3 (* t (* t t)))) (* x (* (* x x) -1/6))) (/ z y)) (* z 0)) y) |
| 2.0ms | z | @ | inf | (+ (* z (+ x (neg t))) (/ (+ (* (- (+ (* x (* (* x x) -1/2)) (* 1/3 (* t (* t t)))) (* x (* (* x x) -1/6))) (/ z y)) (* z 0)) y)) |
| 1× | egg-herbie |
| 14 056× | lower-fma.f64 |
| 14 056× | lower-fma.f32 |
| 5 700× | lower-+.f64 |
| 5 700× | lower-+.f32 |
| 5 430× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 792 | 37786 |
| 1 | 2663 | 28516 |
| 0 | 9107 | 27742 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) |
(+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))) |
(+ (* -1 (* x z)) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))) |
(+ (* x (+ (* -1 z) (* 1/3 (/ (* (pow x 2) z) (pow y 2))))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))) |
(+ (* x (+ (* -1 z) (* (pow x 2) (+ (* -2/15 (/ (* (pow x 2) z) (pow y 4))) (* 1/3 (/ z (pow y 2))))))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* 1/3 (/ (* (pow t 3) z) y)) |
(+ (* -1/3 (/ (* (pow x 3) z) y)) (* 1/3 (/ (* (pow t 3) z) y))) |
(+ (* -1/3 (/ (* (pow x 3) z) y)) (* 1/3 (/ (* (pow t 3) z) y))) |
(+ (* -1/3 (/ (* (pow x 3) z) y)) (* 1/3 (/ (* (pow t 3) z) y))) |
(* -1/3 (/ (* (pow x 3) z) y)) |
(* (pow x 3) (+ (* -1/3 (/ z y)) (* 1/3 (/ (* (pow t 3) z) (* (pow x 3) y))))) |
(* (pow x 3) (+ (* -1/3 (/ z y)) (* 1/3 (/ (* (pow t 3) z) (* (pow x 3) y))))) |
(* (pow x 3) (+ (* -1/3 (/ z y)) (* 1/3 (/ (* (pow t 3) z) (* (pow x 3) y))))) |
(* -1/3 (/ (* (pow x 3) z) y)) |
(* -1 (* (pow x 3) (+ (* -1/3 (/ (* (pow t 3) z) (* (pow x 3) y))) (* 1/3 (/ z y))))) |
(* -1 (* (pow x 3) (+ (* -1/3 (/ (* (pow t 3) z) (* (pow x 3) y))) (* 1/3 (/ z y))))) |
(* -1 (* (pow x 3) (+ (* -1/3 (/ (* (pow t 3) z) (* (pow x 3) y))) (* 1/3 (/ z y))))) |
(/ (* z (- (* -1/2 (pow x 3)) (* -1/6 (pow x 3)))) y) |
(+ (* 1/3 (/ (* (pow t 3) z) y)) (/ (* z (- (* -1/2 (pow x 3)) (* -1/6 (pow x 3)))) y)) |
(+ (* 1/3 (/ (* (pow t 3) z) y)) (/ (* z (- (* -1/2 (pow x 3)) (* -1/6 (pow x 3)))) y)) |
(+ (* 1/3 (/ (* (pow t 3) z) y)) (/ (* z (- (* -1/2 (pow x 3)) (* -1/6 (pow x 3)))) y)) |
(* 1/3 (/ (* (pow t 3) z) y)) |
(* (pow t 3) (+ (* 1/3 (/ z y)) (/ (* z (- (* -1/2 (pow x 3)) (* -1/6 (pow x 3)))) (* (pow t 3) y)))) |
(* (pow t 3) (+ (* 1/3 (/ z y)) (/ (* z (- (* -1/2 (pow x 3)) (* -1/6 (pow x 3)))) (* (pow t 3) y)))) |
(* (pow t 3) (+ (* 1/3 (/ z y)) (/ (* z (- (* -1/2 (pow x 3)) (* -1/6 (pow x 3)))) (* (pow t 3) y)))) |
(* 1/3 (/ (* (pow t 3) z) y)) |
(* -1 (* (pow t 3) (+ (* -1 (/ (* z (- (* -1/2 (pow x 3)) (* -1/6 (pow x 3)))) (* (pow t 3) y))) (* -1/3 (/ z y))))) |
(* -1 (* (pow t 3) (+ (* -1 (/ (* z (- (* -1/2 (pow x 3)) (* -1/6 (pow x 3)))) (* (pow t 3) y))) (* -1/3 (/ z y))))) |
(* -1 (* (pow t 3) (+ (* -1 (/ (* z (- (* -1/2 (pow x 3)) (* -1/6 (pow x 3)))) (* (pow t 3) y))) (* -1/3 (/ z y))))) |
(/ (* z (- (+ (* -1/2 (pow x 3)) (* 1/3 (pow t 3))) (* -1/6 (pow x 3)))) y) |
(/ (* z (- (+ (* -1/2 (pow x 3)) (* 1/3 (pow t 3))) (* -1/6 (pow x 3)))) y) |
(/ (* z (- (+ (* -1/2 (pow x 3)) (* 1/3 (pow t 3))) (* -1/6 (pow x 3)))) y) |
(/ (* z (- (+ (* -1/2 (pow x 3)) (* 1/3 (pow t 3))) (* -1/6 (pow x 3)))) y) |
(* z (- (+ (* -1/2 (/ (pow x 3) y)) (* 1/3 (/ (pow t 3) y))) (* -1/6 (/ (pow x 3) y)))) |
(* z (- (+ (* -1/2 (/ (pow x 3) y)) (* 1/3 (/ (pow t 3) y))) (* -1/6 (/ (pow x 3) y)))) |
(* z (- (+ (* -1/2 (/ (pow x 3) y)) (* 1/3 (/ (pow t 3) y))) (* -1/6 (/ (pow x 3) y)))) |
(* z (- (+ (* -1/2 (/ (pow x 3) y)) (* 1/3 (/ (pow t 3) y))) (* -1/6 (/ (pow x 3) y)))) |
(/ (* z (- (+ (* -1/2 (pow x 3)) (* 1/3 (pow t 3))) (* -1/6 (pow x 3)))) y) |
(/ (* z (- (+ (* -1/2 (pow x 3)) (* 1/3 (pow t 3))) (* -1/6 (pow x 3)))) y) |
(/ (* z (- (+ (* -1/2 (pow x 3)) (* 1/3 (pow t 3))) (* -1/6 (pow x 3)))) y) |
(/ (* z (- (+ (* -1/2 (pow x 3)) (* 1/3 (pow t 3))) (* -1/6 (pow x 3)))) y) |
(/ (* z (- (+ (* -1/2 (pow x 3)) (* 1/3 (pow t 3))) (* -1/6 (pow x 3)))) y) |
(/ (* z (- (+ (* -1/2 (pow x 3)) (* 1/3 (pow t 3))) (* -1/6 (pow x 3)))) y) |
(/ (* z (- (+ (* -1/2 (pow x 3)) (* 1/3 (pow t 3))) (* -1/6 (pow x 3)))) y) |
(/ (* z (- (+ (* -1/2 (pow x 3)) (* 1/3 (pow t 3))) (* -1/6 (pow x 3)))) y) |
(/ (* z (- (+ (* -1/2 (pow x 3)) (* 1/3 (pow t 3))) (* -1/6 (pow x 3)))) y) |
(/ (* z (- (+ (* -1/2 (pow x 3)) (* 1/3 (pow t 3))) (* -1/6 (pow x 3)))) y) |
(/ (* z (- (+ (* -1/2 (pow x 3)) (* 1/3 (pow t 3))) (* -1/6 (pow x 3)))) y) |
(/ (* z (- (+ (* -1/2 (pow x 3)) (* 1/3 (pow t 3))) (* -1/6 (pow x 3)))) y) |
(/ (* z (- (+ (* -1/2 (pow x 3)) (* 1/3 (pow t 3))) (* -1/6 (pow x 3)))) y) |
(/ (* z (- (+ (* -1/2 (pow x 3)) (* 1/3 (pow t 3))) (* -1/6 (pow x 3)))) y) |
(/ (* z (- (+ (* -1/2 (pow x 3)) (* 1/3 (pow t 3))) (* -1/6 (pow x 3)))) y) |
(/ (* z (- (+ (* -1/2 (pow x 3)) (* 1/3 (pow t 3))) (* -1/6 (pow x 3)))) y) |
(/ t y) |
(* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y))) |
(* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) |
(* t (+ (* (pow t 2) (- (* (pow t 2) (+ (* -17/315 (/ (pow t 2) (pow y 7))) (* 2/15 (/ 1 (pow y 5))))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) |
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(/ t y) |
(/ (+ t (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y))) y) |
(/ (- (+ t (+ (* 1/2 (/ (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y)))) (* 1/2 (/ (pow t 3) (pow y 2)))) y) |
(/ (- (+ t (+ (* 1/2 (/ (+ (* -1 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/6 (pow t 3)))))) (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (* 1/12 (pow t 4))))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y))))) (+ (* -1/2 (/ (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (* -1/2 (pow t 3)))) (pow y 3))) (+ (* 1/4 (/ (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2))) (pow y 3))) (* 1/2 (/ (pow t 3) (pow y 2)))))) y) |
(/ t y) |
(* -1 (/ (+ (* -1 t) (* -1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y))) y)) |
(* -1 (/ (+ (* -1 t) (* -1 (/ (+ (* -1 (/ (- (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))) (* -1/2 (pow t 3))) y)) (* 1/2 (+ (* -1 (pow t 2)) (pow t 2)))) y))) y)) |
(* -1 (/ (+ (* -1 t) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (+ (* 1/12 (pow t 4)) (* t (+ (* -1/6 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))))))) (+ (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2)))) (* 1/2 (* t (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))))) y)) (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))))) (* -1/2 (pow t 3))) y)) (* 1/2 (+ (* -1 (pow t 2)) (pow t 2)))) y))) y)) |
| 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 (-.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)))))) z x) |
(+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(fma.f64 (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))))) z (fma.f64 z t x)) |
(+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(fma.f64 (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))))) z (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 (neg.f64 x) 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)) |
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(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y)))) |
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y)))) |
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y)))) |
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y)))) |
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y)))) |
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y)))) |
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y)))) |
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y)))) |
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y)))) |
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y)))) |
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y)))) |
(/ t y) |
(/.f64 t y) |
(/ (+ t (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y))) y) |
(/.f64 (+.f64 t (/.f64 #s(literal 0 binary64) y)) y) |
(/ (- (+ t (+ (* 1/2 (/ (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y)))) (* 1/2 (/ (pow t 3) (pow y 2)))) y) |
(/.f64 (+.f64 t (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y y)) (/.f64 #s(literal 0 binary64) y)) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y y))))) y) |
(/ (- (+ t (+ (* 1/2 (/ (+ (* -1 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/6 (pow t 3)))))) (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (* 1/12 (pow t 4))))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y))))) (+ (* -1/2 (/ (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (* -1/2 (pow t 3)))) (pow y 3))) (+ (* 1/4 (/ (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2))) (pow y 3))) (* 1/2 (/ (pow t 3) (pow y 2)))))) y) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 t (*.f64 t t)) t) #s(literal -1/2 binary64)) (*.f64 (*.f64 (*.f64 t (*.f64 t t)) t) #s(literal -1/12 binary64))) (*.f64 t (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/6 binary64)))) (*.f64 y (*.f64 y y))) (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y y)) (/.f64 #s(literal 0 binary64) y))) (-.f64 t (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.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))))) (*.f64 y (*.f64 y y))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y y)) (/.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))))))) y) |
(/ t y) |
(/.f64 t y) |
(* -1 (/ (+ (* -1 t) (* -1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y))) y)) |
(neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 0 binary64) y) t) y)) |
(* -1 (/ (+ (* -1 t) (* -1 (/ (+ (* -1 (/ (- (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))) (* -1/2 (pow t 3))) y)) (* 1/2 (+ (* -1 (pow t 2)) (pow t 2)))) y))) y)) |
(/.f64 (-.f64 (neg.f64 t) (/.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 t (*.f64 t t)) y))) y)) (neg.f64 y)) |
(* -1 (/ (+ (* -1 t) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (+ (* 1/12 (pow t 4)) (* t (+ (* -1/6 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))))))) (+ (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2)))) (* 1/2 (* t (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))))) y)) (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))))) (* -1/2 (pow t 3))) y)) (* 1/2 (+ (* -1 (pow t 2)) (pow t 2)))) y))) y)) |
(/.f64 (-.f64 (neg.f64 t) (/.f64 (/.f64 (+.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 t (*.f64 (*.f64 t (*.f64 t t)) #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 t (*.f64 t t)) t) #s(literal -1/12 binary64))) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 t (*.f64 t t)) t) #s(literal -1/2 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (fma.f64 t (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal -1/2 binary64)))) #s(literal 0 binary64))) (neg.f64 y)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) (neg.f64 y)) y)) (neg.f64 y)) |
| 4 188× | lower-/.f32 |
| 4 178× | lower-/.f64 |
| 3 694× | lower-*.f32 |
| 3 672× | lower-*.f64 |
| 3 398× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 367 |
| 0 | 92 | 344 |
| 1 | 376 | 325 |
| 2 | 3208 | 325 |
| 0 | 8661 | 313 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) |
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) |
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
(tanh.f64 (/.f64 t y)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)) |
(fma.f64 z (-.f64 t x) x) |
(-.f64 t x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) |
(*.f64 y z) |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) |
(-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 t (*.f64 t t)))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) |
(/.f64 (fma.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 t (*.f64 t t)))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) (/.f64 z y) (*.f64 z #s(literal 0 binary64))) y) |
(*.f64 z #s(literal 0 binary64)) |
(fma.f64 z (+.f64 x (neg.f64 t)) (/.f64 (fma.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 t (*.f64 t t)))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) (/.f64 z y) (*.f64 z #s(literal 0 binary64))) y)) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
(-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
(tanh.f64 (/.f64 x y)) |
(/.f64 (-.f64 t x) y) |
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 z (+.f64 x (neg.f64 t)) (/.f64 (fma.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 t (*.f64 t t)))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) (/.f64 z y) (*.f64 z #s(literal 0 binary64))) y)))) |
(fma.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 t (*.f64 t t)))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) (/.f64 z y) (*.f64 z #s(literal 0 binary64))) |
#s(approx (tanh (/ t y)) (/.f64 t y)) |
| Outputs |
|---|
(+.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z))) |
(+.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) x) |
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) (neg.f64 x)))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)))) (/.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z))))) |
(fma.f64 y (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) x) |
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x) |
(fma.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) z x) |
(fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x) |
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x) |
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z))) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.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 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) (neg.f64 x)) (*.f64 x x)) (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.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 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z))) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.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 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64))) (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) (neg.f64 x)) (*.f64 x x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z))) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.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 (tanh.f64 (/.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 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) (neg.f64 x)) (*.f64 x x)) (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.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 (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) (neg.f64 x))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64))) (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z))) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.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 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) (neg.f64 x)) (*.f64 x x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 (-.f64 (tanh.f64 (/.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 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.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)) (tanh.f64 (/.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)) (tanh.f64 (/.f64 x y))) (*.f64 y z))) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) (neg.f64 x)) (*.f64 x x))))) |
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(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)))))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (expm1.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 x y))))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y))))) |
(/.f64 (-.f64 (*.f64 (expm1.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64))) (+.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64)))) (expm1.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 (expm1.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)))))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal -2 binary64)))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal -2 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 x y))))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal -2 binary64)))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y))))) |
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(/.f64 (neg.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 2 binary64)) (*.f64 (tanh.f64 (/.f64 t y)) (neg.f64 (tanh.f64 (/.f64 x y)))))))) |
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(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 x y)))))) (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))))) |
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(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))))))) (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (expm1.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 x y)))))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (expm1.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64))) (+.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64)))) (expm1.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64)))))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (expm1.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))))))) (neg.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 x y) #s(literal -2 binary64))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal -2 binary64)))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal -2 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 x y)))))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal -2 binary64)))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal -2 binary64)))) (+.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal -2 binary64)))) (expm1.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64)))))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal -2 binary64)))) (+.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (-.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 x 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) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))))))) (neg.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 x y) #s(literal -2 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) |
(pow.f64 (/.f64 (fma.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64))) (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (tanh.f64 (/.f64 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)) |
(*.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64))))) |
(*.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (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))))) |
(-.f64 (/.f64 (exp.f64 (/.f64 t y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))) (/.f64 (exp.f64 (/.f64 t (neg.f64 y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))))) |
(-.f64 (/.f64 (exp.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64)))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 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))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64)))) (expm1.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal -2 binary64)))))) |
(/.f64 (expm1.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal -2 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y)))))) |
(/.f64 #s(literal -1 binary64) (neg.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)))))) |
(/.f64 #s(literal -1 binary64) (neg.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))))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y)))) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal -2 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal -2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y))))) (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))))) |
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal -2 binary64)))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal -2 binary64))))))) |
(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64)))) (expm1.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 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)) |
#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 z (*.f64 (-.f64 x t) (*.f64 z (-.f64 x t)))) (fma.f64 z (-.f64 t x) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 z (-.f64 t x) (neg.f64 x)))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 z (-.f64 t x)))) (/.f64 (*.f64 z (*.f64 (-.f64 x t) (*.f64 z (-.f64 x t)))) (-.f64 x (*.f64 z (-.f64 t x))))) |
(fma.f64 z (-.f64 t x) x) |
(fma.f64 (-.f64 t x) z x) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 z (-.f64 t x))) (*.f64 z (*.f64 (-.f64 x t) (*.f64 z (-.f64 x t))))) (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 (-.f64 x t) (*.f64 (-.f64 t x) (-.f64 t x))) (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (-.f64 t x) (neg.f64 x)) (*.f64 (fma.f64 z (-.f64 t x) x) (fma.f64 z (-.f64 t x) (neg.f64 x))))) |
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(pow.f64 (/.f64 y (*.f64 z (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 t (*.f64 t t))))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 t (*.f64 t t))))) (/.f64 z y)) (/.f64 (*.f64 (*.f64 z (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 t (*.f64 t t)))))) (*.f64 z (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 t (*.f64 t t))))))) (*.f64 y y))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 t (*.f64 t t))))) (/.f64 z y))) #s(literal -1 binary64)) |
(*.f64 z (*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 t (*.f64 t t))))))) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 t (*.f64 t t))))) (/.f64 z y)) |
(*.f64 (/.f64 z y) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 t (*.f64 t t)))))) |
(*.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 t (*.f64 t t))))) (/.f64 z y)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 z (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 t (*.f64 t t)))))) (*.f64 z (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 t (*.f64 t t))))))) (*.f64 y y)))) |
(*.f64 (/.f64 (*.f64 (*.f64 z (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 t (*.f64 t t)))))) (*.f64 z (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 t (*.f64 t t))))))) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 t (*.f64 t t))))) (/.f64 z y)))) |
(*.f64 (*.f64 z (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 t (*.f64 t t)))))) (/.f64 #s(literal 1 binary64) y)) |
#s(approx (tanh (/ t y)) (/.f64 t y)) |
Compiled 68 130 to 3 930 computations (94.2% saved)
19 alts after pruning (18 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 572 | 18 | 1 590 |
| Fresh | 2 | 0 | 2 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 578 | 19 | 1 597 |
| Status | Accuracy | Program |
|---|---|---|
| 65.7% | (fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x) | |
| ✓ | 98.1% | (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) |
| ▶ | 68.6% | (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) |
| 52.9% | (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x) | |
| 49.8% | (fma.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x) | |
| 26.5% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) (*.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))))))) | |
| 29.7% | (+.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))))) | |
| 30.6% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y))))) | |
| 46.9% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))) | |
| ▶ | 49.8% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))))) |
| ▶ | 56.8% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))))) |
| 15.7% | (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 #s(approx (+ (* z (+ x (neg t))) (/ (+ (* (- (+ (* x (* (* x x) -1/2)) (* 1/3 (* t (* t t)))) (* x (* (* x x) -1/6))) (/ z y)) (* z 0)) y)) (/.f64 (*.f64 z (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))) (*.f64 y y)))))) | |
| 26.7% | (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 #s(approx (+ (* z (+ x (neg t))) (/ (+ (* (- (+ (* x (* (* x x) -1/2)) (* 1/3 (* t (* t t)))) (* x (* (* x x) -1/6))) (/ z y)) (* z 0)) y)) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 z (*.f64 t (*.f64 t t)))) (*.f64 y y)))))) | |
| ▶ | 27.9% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (fma.f64 t t (*.f64 x (+.f64 t x)))) x)) |
| 56.9% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (neg.f64 x)) x)) | |
| 14.2% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 (-.f64 x t) (*.f64 (-.f64 t x) (-.f64 t x))) (*.f64 x (*.f64 x x))) (fma.f64 x (-.f64 x (*.f64 z (-.f64 t x))) (*.f64 z (*.f64 (-.f64 x t) (*.f64 z (-.f64 x t))))))) | |
| 26.8% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))) | |
| 48.0% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (+.f64 (/.f64 x z) (-.f64 t x))))) | |
| ▶ | 17.7% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) |
Compiled 764 to 383 computations (49.9% saved)
| 1× | egg-herbie |
Found 19 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)) (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)) (fma.f64 t t (*.f64 x (+.f64 t x)))) x)) | |
| cost-diff | 2816 | (/.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (fma.f64 t t (*.f64 x (+.f64 t x)))) | |
| cost-diff | 0 | (*.f64 y z) | |
| cost-diff | 0 | (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x)))) | |
| cost-diff | 128 | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))))) | |
| cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x)) | |
| cost-diff | 0 | #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) | |
| cost-diff | 0 | (*.f64 y z) | |
| cost-diff | 0 | (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y)))) | |
| cost-diff | 128 | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))))) | |
| cost-diff | 0 | (*.f64 z t) | |
| cost-diff | 0 | #s(approx (+ (* z (- t x)) x) (*.f64 z t)) | |
| cost-diff | 0 | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) | |
| cost-diff | 0 | (tanh.f64 (/.f64 t y)) | |
| cost-diff | 0 | (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) | |
| cost-diff | 0 | (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) | |
| cost-diff | 0 | (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) |
| 7 804× | lower-fma.f32 |
| 7 798× | lower-fma.f64 |
| 5 760× | lower-*.f32 |
| 5 744× | lower-*.f64 |
| 2 650× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 398 |
| 0 | 70 | 361 |
| 1 | 151 | 355 |
| 2 | 341 | 334 |
| 3 | 992 | 334 |
| 4 | 4789 | 334 |
| 0 | 8833 | 330 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) |
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) |
(-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) |
(tanh.f64 (/.f64 t y)) |
(/.f64 t y) |
t |
y |
#s(approx (tanh (/ x y)) (/.f64 x y)) |
(/.f64 x y) |
x |
z |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) |
#s(approx (+ (* z (- t x)) x) (*.f64 z t)) |
(*.f64 z t) |
z |
t |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))))) |
x |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y)))) |
(*.f64 y z) |
y |
z |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) |
#s(approx (/ (- t x) y) (/.f64 t y)) |
(/.f64 t y) |
t |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))))) |
x |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x)))) |
(*.f64 y z) |
y |
z |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x)) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
(-.f64 t x) |
t |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (fma.f64 t t (*.f64 x (+.f64 t x)))) x)) |
(fma.f64 z (/.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (fma.f64 t t (*.f64 x (+.f64 t x)))) x) |
z |
(/.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (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) |
| Outputs |
|---|
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) |
(fma.f64 y (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) z) x) |
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) |
(*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) |
(-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) |
(tanh.f64 (/.f64 t y)) |
(/.f64 t y) |
t |
y |
#s(approx (tanh (/ x y)) (/.f64 x y)) |
(/.f64 x y) |
x |
z |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* 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 |
(+.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))) #s(approx (/ (- t x) y) (/.f64 t y))) x) |
x |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y)))) |
(*.f64 y z) |
y |
z |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) |
#s(approx (/ (- t x) y) (/.f64 t y)) |
(/.f64 t y) |
t |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))))) |
(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 #s(literal 1 binary64) 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 #s(literal 1 binary64) y) (-.f64 t x))) |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x)) |
(/.f64 (-.f64 t x) y) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
(-.f64 t x) |
t |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (fma.f64 t t (*.f64 x (+.f64 t x)))) x)) |
#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)) (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)) (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) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.07421875 | (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) | |
| accuracy | 2.249975228450042 | (fma.f64 t t (*.f64 x (+.f64 t x))) | |
| accuracy | 22.83018922718852 | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (fma.f64 t t (*.f64 x (+.f64 t x)))) x)) | |
| accuracy | 41.252934907220094 | (/.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (fma.f64 t t (*.f64 x (+.f64 t x)))) | |
| accuracy | 0 | (*.f64 y z) | |
| accuracy | 0.16796875 | (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x)) | |
| accuracy | 4.188708599740364 | (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x)))) | |
| accuracy | 41.941109022003445 | #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))) | |
| accuracy | 0 | (*.f64 y z) | |
| accuracy | 4.188708599740364 | (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y)))) | |
| accuracy | 31.29467267255446 | #s(approx (/ (- t x) y) (/.f64 t y)) | |
| accuracy | 41.941109022003445 | #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) | |
| accuracy | 0 | (*.f64 z t) | |
| accuracy | 22.83018922718852 | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) | |
| accuracy | 39.043029369183664 | #s(approx (+ (* z (- t x)) x) (*.f64 z t)) | |
| accuracy | 0.0078125 | (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) | |
| accuracy | 0.0078125 | (tanh.f64 (/.f64 t y)) | |
| accuracy | 2.1819852465300515 | (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) | |
| accuracy | 32.47540448874033 | #s(approx (tanh (/ x y)) (/.f64 x y)) |
| 55.0ms | 217× | 0 | valid |
| 19.0ms | 33× | 2 | valid |
| 3.0ms | 6× | 1 | valid |
Compiled 293 to 33 computations (88.7% saved)
ival-mult: 18.0ms (37.1% of total)ival-div: 11.0ms (22.7% of total)ival-add: 9.0ms (18.6% of total)adjust: 4.0ms (8.3% of total)ival-sub: 3.0ms (6.2% of total)ival-tanh: 3.0ms (6.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x)> |
#<alt (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y)> |
#<alt (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))> |
#<alt (tanh.f64 (/.f64 t y))> |
#<alt #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t)))> |
#<alt #s(approx (+ (* z (- t x)) x) (*.f64 z t))> |
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#<alt (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))))> |
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#<alt (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))> |
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#<alt (fma.f64 t t (*.f64 x (+.f64 t x)))> |
| Outputs |
|---|
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#<alt (+ (* x (+ 1 (+ (* -1 z) (* (pow x 2) (+ (* -2/15 (/ (* (pow x 2) z) (pow y 4))) (* 1/3 (/ z (pow y 2)))))))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))> |
#<alt x> |
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#<alt x> |
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#<alt x> |
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#<alt x> |
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#<alt (* -1 (* z (+ (* -1 (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (* -1 (/ x z)))))> |
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#<alt (+ x (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
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#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt x> |
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#<alt (+ (* x (+ 1 (* -1 z))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))> |
#<alt (+ (* x (+ 1 (+ (* -1 z) (* 1/3 (/ (* (pow x 2) z) (pow y 2)))))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))> |
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#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
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#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
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#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))> |
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#<alt x> |
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#<alt x> |
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#<alt x> |
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#<alt x> |
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#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))> |
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 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))> |
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#<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)> |
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#<alt (* -1 (* t (+ (* -1 z) (* -1 (/ (+ x (* -1 (* x z))) t)))))> |
#<alt (* t z)> |
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#<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))))> |
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#<alt (pow t 3)> |
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#<alt (pow t 3)> |
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#<alt (/ x y)> |
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#<alt (/ x y)> |
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#<alt (/ (- (+ x (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))))) (+ (* -1/2 (/ (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (pow y 3))) (+ (* 1/4 (/ (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2))) (pow y 3))) (* 1/2 (/ (pow x 3) (pow y 2)))))) y)> |
#<alt (/ x y)> |
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#<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 y))> |
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#<alt (+ (* -1 (/ x y)) (/ t y))> |
#<alt (+ (* -1 (/ x y)) (/ t y))> |
#<alt (/ t y)> |
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#<alt (/ t y)> |
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#<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))> |
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#<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)> |
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#<alt (* -1 (/ (- (* -1 t) (* -1 x)) y))> |
#<alt (* -1 (/ (- (+ (* -1 t) (* -1 (/ (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) (* -1 x)) y))> |
#<alt (* -1 (/ (- (+ (* -1 t) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (pow x 3)) (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))))) (+ (* -1/2 (pow t 3)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))) y)) (* 1/2 (+ (* -1 (pow t 2)) (pow t 2)))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) (* -1 x)) y))> |
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#<alt (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))> |
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#<alt (- (+ (* 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 (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)> |
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#<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) (+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (pow x 2) t))) t))))> |
#<alt (pow t 2)> |
#<alt (+ (* t x) (pow t 2))> |
#<alt (+ (* x (+ t x)) (pow t 2))> |
#<alt (+ (* x (+ t x)) (pow t 2))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (/ t x)))> |
#<alt (* (pow x 2) (+ 1 (+ (/ t x) (/ (pow t 2) (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1 (+ (/ t x) (/ (pow t 2) (pow x 2)))))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (/ t x)))> |
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 t) (* -1 (/ (pow t 2) x))) x))))> |
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 t) (* -1 (/ (pow t 2) x))) x))))> |
198 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (* (+ (* t t) (* x (+ t x))) (- t x)) |
| 0.0ms | t | @ | inf | (* (+ (* t t) (* x (+ t x))) (- t x)) |
| 0.0ms | t | @ | -inf | (* (+ (* t t) (* x (+ t x))) (- t x)) |
| 0.0ms | x | @ | inf | (* (+ (* t t) (* x (+ t x))) (- t x)) |
| 0.0ms | x | @ | -inf | (* (+ (* t t) (* x (+ t x))) (- t x)) |
| 1× | egg-herbie |
| 15 688× | lower-fma.f64 |
| 15 688× | lower-fma.f32 |
| 5 880× | lower-+.f64 |
| 5 880× | lower-+.f32 |
| 5 272× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 776 | 34466 |
| 1 | 2604 | 25837 |
| 0 | 9430 | 25183 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
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(+ 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)))))))))) |
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(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
x |
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(+ x (* z (- t x))) |
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(+ x (+ (* z (- t x)) (+ (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y) (+ (/ (* z (- (+ (* -1/2 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))))) (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (* 1/2 (+ (* -1 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/6 (pow t 3)))))) (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (* 1/12 (pow t 4)))))))) (+ (* -1/2 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (* -1/2 (pow t 3))))) (+ (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2)))) (* 1/2 (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4)))))))))) (pow y 3)) (/ (* z (- (+ (* 1/2 (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3))))) (* 1/2 (pow x 3))) (+ (* 1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3))))) (* 1/2 (pow t 3))))) (pow y 2)))))) |
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(+ (* 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 |
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x |
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(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
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x |
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(/ (- t x) y) |
(/ (- (+ t (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y))) (+ x (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)))) y) |
(/ (- (+ t (+ (* 1/2 (/ (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3)))) (pow y 2))) (+ (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y)) (* 1/2 (/ (pow x 3) (pow y 2)))))) (+ x (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3)))) (pow y 2))) (+ (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)) (* 1/2 (/ (pow t 3) (pow y 2))))))) y) |
(/ (- (+ t (+ (* -1/2 (/ (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (pow y 3))) (+ (* 1/4 (/ (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/6 (pow t 3)))))) (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (* 1/12 (pow t 4))))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3)))) (pow y 2))) (+ (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y)) (* 1/2 (/ (pow x 3) (pow y 2))))))))) (+ x (+ (* -1/2 (/ (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (* -1/2 (pow t 3)))) (pow y 3))) (+ (* 1/4 (/ (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3)))) (pow y 2))) (+ (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)) (* 1/2 (/ (pow t 3) (pow y 2)))))))))) y) |
(* -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))))))) |
(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)))) |
| Outputs |
|---|
(+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))))) (*.f64 y z) x) |
(+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))))) (*.f64 y z) (fma.f64 z t x)) |
(+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))))) (*.f64 y z) (fma.f64 t (fma.f64 t (*.f64 t (*.f64 #s(literal -1/3 binary64) (/.f64 z (*.f64 y y)))) z) x)) |
(+ x (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))))) (*.f64 y z) (fma.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (*.f64 (/.f64 z (pow.f64 y #s(literal 4 binary64))) #s(literal 2/15 binary64)) (*.f64 #s(literal -1/3 binary64) (/.f64 z (*.f64 y y)))) z) x)) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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)))))))))) |
(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))))) |
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(/ (- (+ 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) |
(/.f64 (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 t t) (*.f64 (*.f64 (*.f64 t 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 (*.f64 t (*.f64 t t)) #s(literal 1/6 binary64)))) (*.f64 y (*.f64 y y))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64)) (*.f64 y y)) (+.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y)))) (/.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))))) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (*.f64 y (*.f64 y y))) t)) (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/12 binary64))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)))) (*.f64 y (*.f64 y y))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) (*.f64 y y)) (+.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y y)))) (/.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 (fma.f64 t (*.f64 (*.f64 t t) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t t)))) (*.f64 y (*.f64 y y))) x))) y) |
(* -1 (/ (- (* -1 t) (* -1 x)) y)) |
(/.f64 (-.f64 t x) y) |
(* -1 (/ (- (+ (* -1 t) (* -1 (/ (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) (* -1 x)) y)) |
(/.f64 (+.f64 (-.f64 (/.f64 #s(literal 0 binary64) y) t) x) (neg.f64 y)) |
(* -1 (/ (- (+ (* -1 t) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (pow x 3)) (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))))) (+ (* -1/2 (pow t 3)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))) y)) (* 1/2 (+ (* -1 (pow t 2)) (pow t 2)))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) (* -1 x)) y)) |
(/.f64 (+.f64 (-.f64 (neg.f64 t) (/.f64 (/.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 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) (neg.f64 y)) y)) x) (neg.f64 y)) |
(* -1 (/ (- (+ (* -1 t) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (+ (* 1/2 (* x (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) (* 1/2 (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (+ (* 1/12 (pow t 4)) (* t (+ (* -1/6 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))))))))) (+ (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2)))) (+ (* 1/2 (* t (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))) (* 1/2 (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (+ (* 1/12 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))))))))) y)) (+ (* -1/2 (pow x 3)) (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))))) (+ (* -1/2 (pow t 3)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))) y)) (* 1/2 (+ (* -1 (pow t 2)) (pow t 2)))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) (* -1 x)) y)) |
(/.f64 (+.f64 (-.f64 (neg.f64 t) (/.f64 (/.f64 (+.f64 (/.f64 (+.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 t (*.f64 (*.f64 t (*.f64 t t)) #s(literal -1/6 binary64)) (fma.f64 (*.f64 t t) (*.f64 (*.f64 (*.f64 t t) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (*.f64 t (*.f64 t (*.f64 t t))) #s(literal -1/12 binary64))))) #s(literal 0 binary64)) (*.f64 #s(literal -1/2 binary64) (fma.f64 t (fma.f64 t (*.f64 (*.f64 t t) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t t)))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/12 binary64))))))) (neg.f64 y)) (-.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 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))) (neg.f64 y)) y)) x) (neg.f64 y)) |
(- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) |
(- (+ (* -1 (/ x y)) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))) |
(+.f64 (/.f64 x (neg.f64 y)) (/.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 (- (* 1/3 (/ (pow x 2) (pow y 3))) (/ 1 y))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))) |
(fma.f64 x (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal -1 binary64) y)) (/.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 (- (* (pow x 2) (+ (* -2/15 (/ (pow x 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))) |
(fma.f64 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)) (/.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)))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y)))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))))) |
(pow x 2) |
(*.f64 x x) |
(+ (* t x) (pow x 2)) |
(*.f64 x (+.f64 x t)) |
(+ (* t (+ t x)) (pow x 2)) |
(fma.f64 x x (*.f64 t (+.f64 x t))) |
(+ (* t (+ t x)) (pow x 2)) |
(fma.f64 x x (*.f64 t (+.f64 x t))) |
(pow t 2) |
(*.f64 t t) |
(* (pow t 2) (+ 1 (/ x t))) |
(*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (/.f64 x t))) |
(* (pow t 2) (+ 1 (+ (/ x t) (/ (pow x 2) (pow t 2))))) |
(*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 x t) (/.f64 (*.f64 x x) (*.f64 t t))))) |
(* (pow t 2) (+ 1 (+ (/ x t) (/ (pow x 2) (pow t 2))))) |
(*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 x t) (/.f64 (*.f64 x x) (*.f64 t t))))) |
(pow t 2) |
(*.f64 t t) |
(* (pow t 2) (+ 1 (/ x t))) |
(*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (/.f64 x t))) |
(* (pow t 2) (+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (pow x 2) t))) t)))) |
(*.f64 (*.f64 t t) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x (neg.f64 x)) t) x) t))) |
(* (pow t 2) (+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (pow x 2) t))) t)))) |
(*.f64 (*.f64 t t) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x (neg.f64 x)) t) x) t))) |
(pow t 2) |
(*.f64 t t) |
(+ (* t x) (pow t 2)) |
(*.f64 t (+.f64 x t)) |
(+ (* x (+ t x)) (pow t 2)) |
(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))) |
| 5 900× | lower-*.f32 |
| 5 884× | lower-*.f64 |
| 4 170× | lower-/.f32 |
| 4 162× | lower-/.f64 |
| 2 012× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 351 |
| 0 | 70 | 326 |
| 1 | 289 | 282 |
| 2 | 2587 | 282 |
| 0 | 9081 | 278 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) |
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) |
(-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) |
(tanh.f64 (/.f64 t y)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) |
#s(approx (+ (* z (- t x)) x) (*.f64 z t)) |
(*.f64 z t) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))))) |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y)))) |
(*.f64 y z) |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t 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))))) |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x)))) |
(/.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (fma.f64 t t (*.f64 x (+.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (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)) (fma.f64 t t (*.f64 x (+.f64 t x)))) x) |
(*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) |
#s(approx (tanh (/ x y)) (/.f64 x y)) |
#s(approx (/ (- t x) y) (/.f64 t y)) |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))) |
(fma.f64 t t (*.f64 x (+.f64 t x))) |
| Outputs |
|---|
(+.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z))) |
(+.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) x) |
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) (neg.f64 x)))) |
(fma.f64 y (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) z) x) |
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x) |
(fma.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) z x) |
(fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) x) |
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) x) |
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) z) y x) |
(fma.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) y x) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z))) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64))) (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z))) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64))) (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x x))))) |
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z))) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 (*.f64 y z) x))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) (neg.f64 x))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z))) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 (*.f64 y z) x)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) (neg.f64 x)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64))) (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)))) |
(/.f64 (-.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 (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) (neg.f64 x)) (*.f64 x x))) (*.f64 (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) (neg.f64 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 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z))) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) (neg.f64 x))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z))))) |
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z))) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64))) (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x x))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z))) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) (neg.f64 x)))) |
(+.f64 (*.f64 y (tanh.f64 (/.f64 t y))) (*.f64 y (neg.f64 #s(approx (tanh (/ x y)) (/.f64 x y))))) |
(+.f64 (*.f64 (tanh.f64 (/.f64 t y)) y) (*.f64 (neg.f64 #s(approx (tanh (/ x y)) (/.f64 x y))) y)) |
(fma.f64 y (tanh.f64 (/.f64 t y)) (*.f64 y (neg.f64 #s(approx (tanh (/ x y)) (/.f64 x y))))) |
(fma.f64 (tanh.f64 (/.f64 t y)) y (*.f64 (neg.f64 #s(approx (tanh (/ x y)) (/.f64 x y))) y)) |
(/.f64 (*.f64 y (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (*.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (*.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(approx (tanh (/ x y)) (/.f64 x y)))))) (fma.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 y (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (*.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) (+.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (*.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (*.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) y) (fma.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (*.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) y) (+.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) |
(/.f64 (neg.f64 (*.f64 y (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (*.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (*.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(approx (tanh (/ x y)) (/.f64 x y))))))) (neg.f64 (fma.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 y (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (*.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(approx (tanh (/ x y)) (/.f64 x y)))))) (neg.f64 (+.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (*.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (*.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) y)) (neg.f64 (fma.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (*.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) y)) (neg.f64 (+.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) |
(*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) |
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) |
(+.f64 (tanh.f64 (/.f64 t y)) (neg.f64 #s(approx (tanh (/ x y)) (/.f64 x y)))) |
(+.f64 (neg.f64 #s(approx (tanh (/ x y)) (/.f64 x y))) (tanh.f64 (/.f64 t y))) |
(-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) |
(-.f64 (/.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (fma.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)))) (/.f64 (*.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (*.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) (fma.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (+.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) (/.f64 (*.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (+.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) |
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))) (neg.f64 #s(approx (tanh (/ x y)) (/.f64 x y)))) |
(fma.f64 (expm1.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64))))) (neg.f64 #s(approx (tanh (/ x y)) (/.f64 x y)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y)))) (neg.f64 #s(approx (tanh (/ x y)) (/.f64 x y)))) |
(fma.f64 #s(literal -1 binary64) #s(approx (tanh (/ x y)) (/.f64 x y)) (tanh.f64 (/.f64 t y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64))) (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (*.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (*.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(approx (tanh (/ x y)) (/.f64 x y))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (*.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(approx (tanh (/ x y)) (/.f64 x y)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64))) (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (*.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (*.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(approx (tanh (/ x y)) (/.f64 x y)))))))) |
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#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.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)) |
(-.f64 (/.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))) (/.f64 (*.f64 (+.f64 t x) (*.f64 x (*.f64 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 #s(literal 1 binary64) (/.f64 (fma.f64 t (*.f64 t (*.f64 t t)) (*.f64 (*.f64 x (+.f64 t x)) (-.f64 (*.f64 x (+.f64 t x)) (*.f64 t t)))) (fma.f64 (*.f64 x (+.f64 t x)) (*.f64 (+.f64 t x) (*.f64 x (*.f64 x (+.f64 t x)))) (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 t t)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 t (*.f64 t (*.f64 t t)) (*.f64 (*.f64 x (+.f64 t x)) (-.f64 (*.f64 x (+.f64 t x)) (*.f64 t t)))) (fma.f64 (*.f64 x (+.f64 t x)) (*.f64 (+.f64 t x) (*.f64 x (*.f64 x (+.f64 t x)))) (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 t t))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))))))) |
(/.f64 (fma.f64 (*.f64 x (+.f64 t x)) (*.f64 (+.f64 t x) (*.f64 x (*.f64 x (+.f64 t x)))) (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 t t)))) (fma.f64 t (*.f64 t (*.f64 t t)) (*.f64 (*.f64 x (+.f64 t x)) (-.f64 (*.f64 x (+.f64 t x)) (*.f64 t t))))) |
(/.f64 (fma.f64 (*.f64 x (+.f64 t x)) (*.f64 (+.f64 t x) (*.f64 x (*.f64 x (+.f64 t x)))) (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 t t)))) (fma.f64 x (*.f64 (+.f64 t x) (*.f64 x (+.f64 t x))) (-.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (*.f64 t (*.f64 t (*.f64 x (+.f64 t x))))))) |
(/.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (+.f64 t x)) (*.f64 (+.f64 t x) (*.f64 x (*.f64 x (+.f64 t x)))) (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 t t))))) (neg.f64 (fma.f64 t (*.f64 t (*.f64 t t)) (*.f64 (*.f64 x (+.f64 t x)) (-.f64 (*.f64 x (+.f64 t x)) (*.f64 t t)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (+.f64 t x)) (*.f64 (+.f64 t x) (*.f64 x (*.f64 x (+.f64 t x)))) (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 t t))))) (neg.f64 (fma.f64 x (*.f64 (+.f64 t x) (*.f64 x (+.f64 t x))) (-.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (*.f64 t (*.f64 t (*.f64 x (+.f64 t x)))))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))))) (neg.f64 (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))))) |
(/.f64 (-.f64 (*.f64 (+.f64 t x) (*.f64 x (*.f64 x (+.f64 t x)))) (*.f64 (*.f64 t t) (*.f64 t t))) (-.f64 (*.f64 x (+.f64 t x)) (*.f64 t t))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 t 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 t x) (*.f64 x (*.f64 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 t x) (*.f64 x (*.f64 x (+.f64 t x)))) (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 t t)))))) (neg.f64 (neg.f64 (fma.f64 t (*.f64 t (*.f64 t t)) (*.f64 (*.f64 x (+.f64 t x)) (-.f64 (*.f64 x (+.f64 t x)) (*.f64 t t))))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.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 t x) (*.f64 x (*.f64 x (+.f64 t x)))) (*.f64 (*.f64 t t) (*.f64 t t)))) (neg.f64 (-.f64 (*.f64 x (+.f64 t x)) (*.f64 t t)))) |
(pow.f64 (/.f64 (fma.f64 t (*.f64 t (*.f64 t t)) (*.f64 (*.f64 x (+.f64 t x)) (-.f64 (*.f64 x (+.f64 t x)) (*.f64 t t)))) (fma.f64 (*.f64 x (+.f64 t x)) (*.f64 (+.f64 t x) (*.f64 x (*.f64 x (+.f64 t x)))) (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 t t))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 x (+.f64 t x)) (*.f64 (+.f64 t x) (*.f64 x (*.f64 x (+.f64 t x)))) (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 t t)))) (/.f64 #s(literal 1 binary64) (fma.f64 t (*.f64 t (*.f64 t t)) (*.f64 (*.f64 x (+.f64 t x)) (-.f64 (*.f64 x (+.f64 t x)) (*.f64 t t)))))) |
(*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))))) |
Compiled 49 232 to 2 749 computations (94.4% saved)
25 alts after pruning (21 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 344 | 14 | 1 358 |
| Fresh | 6 | 7 | 13 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 352 | 25 | 1 377 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 65.7% | (fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x) |
| ✓ | 98.1% | (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) |
| ✓ | 68.6% | (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) |
| 57.5% | (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) y) z x) | |
| 56.4% | (fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y)))) y x) | |
| 49.8% | (fma.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x) | |
| 28.5% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))))) (*.f64 (fma.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) x) (-.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y)))))))) | |
| 29.7% | (+.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))))) | |
| 30.6% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y))))) | |
| ▶ | 46.9% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))) |
| ✓ | 49.8% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x))))) |
| 15.7% | (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 #s(approx (+ (* z (+ x (neg t))) (/ (+ (* (- (+ (* x (* (* x x) -1/2)) (* 1/3 (* t (* t t)))) (* x (* (* x x) -1/6))) (/ z y)) (* z 0)) y)) (/.f64 (*.f64 z (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))) (*.f64 y y)))))) | |
| 26.7% | (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 #s(approx (+ (* z (+ x (neg t))) (/ (+ (* (- (+ (* x (* (* x x) -1/2)) (* 1/3 (* t (* t t)))) (* x (* (* x x) -1/6))) (/ z y)) (* z 0)) y)) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 z (*.f64 t (*.f64 t t)))) (*.f64 y y)))))) | |
| 9.6% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x (+.f64 t x)) (*.f64 (+.f64 t x) (*.f64 x (*.f64 x (+.f64 t x)))) (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 t t)))) (*.f64 (-.f64 t x) (fma.f64 t t (*.f64 x (+.f64 t x))))) (fma.f64 (*.f64 x (+.f64 t x)) (*.f64 (+.f64 t x) (*.f64 x (*.f64 x (+.f64 t x)))) (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 t t))))) (fma.f64 t t (*.f64 x (+.f64 t x)))) x)) | |
| ▶ | 16.1% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))) (-.f64 t x)) (*.f64 (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))) (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 x (+.f64 x t))) (-.f64 t x)) (fma.f64 t t (*.f64 x (+.f64 t x)))) x)) | |
| 32.0% | #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)) (fma.f64 t t (*.f64 x (+.f64 t x)))) x)) | |
| 23.3% | #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 (*.f64 x (*.f64 x x)) (+.f64 (-.f64 (-.f64 (+.f64 (/.f64 t x) (/.f64 (*.f64 t t) (*.f64 x x))) (/.f64 (*.f64 t t) (*.f64 x x))) (/.f64 t x)) #s(literal -1 binary64)))) (fma.f64 t t (*.f64 x (+.f64 t x)))) x)) | |
| ▶ | 34.6% | #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 x (*.f64 x (neg.f64 x)))) (fma.f64 t t (*.f64 x (+.f64 t x)))) x)) |
| 43.6% | #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))) (fma.f64 t t (*.f64 x (+.f64 t x)))) x)) | |
| 33.2% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (fma.f64 t (*.f64 t t) (*.f64 x (*.f64 x x)))) (fma.f64 x (-.f64 x t) (*.f64 t t))) x)) | |
| 56.9% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (/ (* (+ (* t t) (* x (+ t x))) (- t x)) (+ (* t t) (* x (+ t x)))) (neg.f64 x)) x)) | |
| 21.6% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (*.f64 (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x)))) (-.f64 (*.f64 z (-.f64 t x)) x)) (*.f64 (-.f64 (*.f64 z (-.f64 t x)) x) (*.f64 x x))) (*.f64 (-.f64 (*.f64 z (-.f64 t x)) x) (-.f64 (*.f64 z (-.f64 t x)) x)))) | |
| ▶ | 26.8% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (/ (* (+ (* t t) (* x (+ t x))) (- t x)) (+ (* t t) (* x (+ t x))))) x) (*.f64 z (-.f64 t x)))) |
| ✓ | 17.7% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) |
Compiled 1 271 to 541 computations (57.4% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))) (-.f64 t x)) | |
| cost-diff | 0 | (fma.f64 z (/.f64 (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))) (-.f64 t x)) (*.f64 (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (+.f64 t x))))) x) | |
| cost-diff | 0 | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))) (-.f64 t x)) (*.f64 (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)) | |
| cost-diff | 5504 | (/.f64 (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))) (-.f64 t x)) (*.f64 (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (+.f64 t x))))) | |
| cost-diff | 0 | #s(approx (* (+ (* t t) (* x (+ t x))) (- t x)) (*.f64 x (*.f64 x (neg.f64 x)))) | |
| cost-diff | 0 | (/.f64 #s(approx (* (+ (* t t) (* x (+ t x))) (- t x)) (*.f64 x (*.f64 x (neg.f64 x)))) (fma.f64 t t (*.f64 x (+.f64 t x)))) | |
| cost-diff | 0 | (fma.f64 z (/.f64 #s(approx (* (+ (* t t) (* x (+ t x))) (- t x)) (*.f64 x (*.f64 x (neg.f64 x)))) (fma.f64 t t (*.f64 x (+.f64 t x)))) x) | |
| cost-diff | 0 | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(approx (* (+ (* t t) (* x (+ t x))) (- t x)) (*.f64 x (*.f64 x (neg.f64 x)))) (fma.f64 t t (*.f64 x (+.f64 t x)))) 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 t) (* x (+ t x))) (- t x)) (+ (* t t) (* x (+ 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 t) (* x (+ t x))) (- t x)) (+ (* t t) (* x (+ 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) |
| 7 652× | lower-fma.f32 |
| 7 644× | lower-fma.f64 |
| 3 332× | lower-*.f32 |
| 3 312× | lower-*.f64 |
| 2 634× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 624 |
| 0 | 86 | 567 |
| 1 | 193 | 567 |
| 2 | 526 | 470 |
| 3 | 1986 | 462 |
| 4 | 4676 | 462 |
| 0 | 8076 | 458 |
| 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 t) (* x (+ t x))) (- t x)) (+ (* t t) (* x (+ t x))))) x) (*.f64 z (-.f64 t x)))) |
#s(approx (+ (* z (/ (* (+ (* t t) (* x (+ t x))) (- t x)) (+ (* t t) (* x (+ 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) |
#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 x (*.f64 x (neg.f64 x)))) (fma.f64 t t (*.f64 x (+.f64 t x)))) x)) |
(fma.f64 z (/.f64 #s(approx (* (+ (* t t) (* x (+ t x))) (- t x)) (*.f64 x (*.f64 x (neg.f64 x)))) (fma.f64 t t (*.f64 x (+.f64 t x)))) x) |
z |
(/.f64 #s(approx (* (+ (* t t) (* x (+ t x))) (- t x)) (*.f64 x (*.f64 x (neg.f64 x)))) (fma.f64 t t (*.f64 x (+.f64 t x)))) |
#s(approx (* (+ (* t t) (* x (+ t x))) (- t x)) (*.f64 x (*.f64 x (neg.f64 x)))) |
(*.f64 x (*.f64 x (neg.f64 x))) |
x |
(*.f64 x (neg.f64 x)) |
(neg.f64 x) |
(fma.f64 t t (*.f64 x (+.f64 t x))) |
t |
(*.f64 x (+.f64 t x)) |
(+.f64 t x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))) (-.f64 t x)) (*.f64 (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)) |
(fma.f64 z (/.f64 (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))) (-.f64 t x)) (*.f64 (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (+.f64 t x))))) x) |
z |
(/.f64 (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))) (-.f64 t x)) (*.f64 (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (+.f64 t x))))) |
(*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))) (-.f64 t x)) |
(*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 (*.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 (*.f64 t t) (*.f64 x (+.f64 t x))) |
(*.f64 t t) |
(-.f64 t x) |
(*.f64 (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (+.f64 t x)))) |
| 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 t) (* x (+ t x))) (- t x)) (+ (* t t) (* x (+ t x))))) x) (*.f64 z (-.f64 t x)))) |
#s(approx (+ (* z (/ (* (+ (* t t) (* x (+ t x))) (- t x)) (+ (* t t) (* x (+ 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) |
#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 x (*.f64 x (neg.f64 x)))) (fma.f64 t t (*.f64 x (+.f64 t x)))) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (* (+ (* t t) (* x (+ t x))) (- t x)) (neg.f64 (*.f64 x (*.f64 x x)))) (/.f64 z (fma.f64 t t (*.f64 x (+.f64 t x)))) x)) |
(fma.f64 z (/.f64 #s(approx (* (+ (* t t) (* x (+ t x))) (- t x)) (*.f64 x (*.f64 x (neg.f64 x)))) (fma.f64 t t (*.f64 x (+.f64 t x)))) x) |
(fma.f64 #s(approx (* (+ (* t t) (* x (+ t x))) (- t x)) (neg.f64 (*.f64 x (*.f64 x x)))) (/.f64 z (fma.f64 t t (*.f64 x (+.f64 t x)))) x) |
z |
(/.f64 #s(approx (* (+ (* t t) (* x (+ t x))) (- t x)) (*.f64 x (*.f64 x (neg.f64 x)))) (fma.f64 t t (*.f64 x (+.f64 t x)))) |
(/.f64 #s(approx (* (+ (* t t) (* x (+ t x))) (- t x)) (neg.f64 (*.f64 x (*.f64 x x)))) (fma.f64 t t (*.f64 x (+.f64 t x)))) |
#s(approx (* (+ (* t t) (* x (+ t x))) (- t x)) (*.f64 x (*.f64 x (neg.f64 x)))) |
#s(approx (* (+ (* t t) (* x (+ t x))) (- t x)) (neg.f64 (*.f64 x (*.f64 x x)))) |
(*.f64 x (*.f64 x (neg.f64 x))) |
(neg.f64 (*.f64 x (*.f64 x x))) |
x |
(*.f64 x (neg.f64 x)) |
(neg.f64 (*.f64 x x)) |
(neg.f64 x) |
(fma.f64 t t (*.f64 x (+.f64 t x))) |
t |
(*.f64 x (+.f64 t x)) |
(+.f64 t x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))) (-.f64 t x)) (*.f64 (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)) |
(fma.f64 z (/.f64 (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))) (-.f64 t x)) (*.f64 (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (+.f64 t x))))) x) |
(fma.f64 z (-.f64 t x) x) |
z |
(/.f64 (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))) (-.f64 t x)) (*.f64 (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (+.f64 t x))))) |
(-.f64 t x) |
(*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))) (-.f64 t x)) |
(*.f64 (*.f64 (-.f64 t x) (fma.f64 t t (*.f64 x (+.f64 t x)))) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))) |
(*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 (*.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 (*.f64 t t) (*.f64 x (+.f64 t x))) |
(*.f64 t t) |
(-.f64 t x) |
(*.f64 (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (+.f64 t x)))) |
(*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 2.2499752284500416 | (fma.f64 t t (*.f64 x (+.f64 t x))) | |
| accuracy | 5.558562787453088 | (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))) | |
| accuracy | 22.83018922718852 | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))) (-.f64 t x)) (*.f64 (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)) | |
| accuracy | 50.299881215465355 | (/.f64 (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))) (-.f64 t x)) (*.f64 (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (+.f64 t x))))) | |
| accuracy | 2.2499752284500416 | (fma.f64 t t (*.f64 x (+.f64 t x))) | |
| accuracy | 22.83018922718852 | #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 x (*.f64 x (neg.f64 x)))) (fma.f64 t t (*.f64 x (+.f64 t x)))) x)) | |
| accuracy | 25.233367089075816 | #s(approx (* (+ (* t t) (* x (+ t x))) (- t x)) (*.f64 x (*.f64 x (neg.f64 x)))) | |
| accuracy | 41.252934907220094 | (/.f64 #s(approx (* (+ (* t t) (* x (+ t x))) (- t x)) (*.f64 x (*.f64 x (neg.f64 x)))) (fma.f64 t t (*.f64 x (+.f64 t x)))) | |
| accuracy | 0.0078125 | (/.f64 #s(approx (- t x) (neg.f64 x)) y) | |
| accuracy | 4.188708599740364 | (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))) | |
| accuracy | 29.44950924827952 | #s(approx (- t x) (neg.f64 x)) | |
| accuracy | 41.941109022003445 | #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)) | |
| accuracy | 0 | (-.f64 t x) | |
| accuracy | 0.01953125 | (*.f64 z (-.f64 t x)) | |
| accuracy | 22.83018922718852 | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (/ (* (+ (* t t) (* x (+ t x))) (- t x)) (+ (* t t) (* x (+ t x))))) x) (*.f64 z (-.f64 t x)))) | |
| accuracy | 24.72677547789196 | #s(approx (+ (* z (/ (* (+ (* t t) (* x (+ t x))) (- t x)) (+ (* t t) (* x (+ t x))))) x) (*.f64 z (-.f64 t x))) | |
| accuracy | 0 | (*.f64 y z) | |
| accuracy | 0.015625 | (tanh.f64 (/.f64 x y)) | |
| accuracy | 3.4185678392332037 | (fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x) | |
| accuracy | 30.94597302228525 | #s(approx (tanh (/ t y)) (/.f64 t y)) |
| 68.0ms | 33× | 2 | valid |
| 53.0ms | 217× | 0 | valid |
| 3.0ms | 6× | 1 | valid |
Compiled 464 to 37 computations (92% saved)
ival-add: 55.0ms (56.1% of total)ival-mult: 21.0ms (21.4% of total)ival-div: 10.0ms (10.2% of total)ival-sub: 4.0ms (4.1% of total)adjust: 4.0ms (4.1% of total)ival-tanh: 3.0ms (3.1% of total)ival-neg: 1.0ms (1% of total)ival-assert: 0.0ms (0% of total)ival-true: 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 t) (* x (+ t x))) (- t x)) (+ (* t t) (* x (+ t x))))) x) (*.f64 z (-.f64 t x))))> |
#<alt #s(approx (+ (* z (/ (* (+ (* t t) (* x (+ t x))) (- t x)) (+ (* t t) (* x (+ 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 #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 x (*.f64 x (neg.f64 x)))) (fma.f64 t t (*.f64 x (+.f64 t x)))) x))> |
#<alt (fma.f64 z (/.f64 #s(approx (* (+ (* t t) (* x (+ t x))) (- t x)) (*.f64 x (*.f64 x (neg.f64 x)))) (fma.f64 t t (*.f64 x (+.f64 t x)))) x)> |
#<alt (/.f64 #s(approx (* (+ (* t t) (* x (+ t x))) (- t x)) (*.f64 x (*.f64 x (neg.f64 x)))) (fma.f64 t t (*.f64 x (+.f64 t x))))> |
#<alt #s(approx (* (+ (* t t) (* x (+ t x))) (- t x)) (*.f64 x (*.f64 x (neg.f64 x))))> |
#<alt (/.f64 (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))) (-.f64 t x)) (*.f64 (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (+.f64 t x)))))> |
#<alt #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))) (-.f64 t x)) (*.f64 (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (+.f64 t x))))) x))> |
#<alt (fma.f64 z (/.f64 (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))) (-.f64 t x)) (*.f64 (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)> |
#<alt (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 (*.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 (fma.f64 t t (*.f64 x (+.f64 t x)))> |
#<alt (-.f64 (*.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)))> |
#<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))))))> |
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#<alt x> |
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#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))> |
#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))> |
#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))> |
#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))> |
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#<alt x> |
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#<alt (* x (+ 1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)))> |
#<alt (* x (+ 1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)))> |
#<alt x> |
#<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))))))))))> |
#<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)> |
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#<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))))> |
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#<alt (* -1 (* x (- (+ z (* -1 (/ (* t z) x))) 1)))> |
#<alt (* -1 (* x (- (+ z (* -1 (/ (* t z) x))) 1)))> |
#<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> |
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#<alt t> |
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#<alt (+ t (* -1 x))> |
#<alt (* -1 x)> |
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#<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 (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)> |
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#<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)))))> |
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#<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> |
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#<alt (* -1 (* t (- (/ x t) 1)))> |
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#<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 (* 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))))))))))> |
#<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)))> |
#<alt (* -1 (* x (- (+ z (* -1 (/ (* t z) x))) 1)))> |
#<alt (* -1 (* x (- (+ z (* -1 (/ (* t z) x))) 1)))> |
#<alt (* -1 (* x (- (+ z (* -1 (/ (* t z) x))) 1)))> |
#<alt (pow x 5)> |
#<alt (+ (* t (+ (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2))) (pow x 4))) (pow x 5))> |
#<alt (+ (* t (+ (* t (+ (* -2 (pow x 3)) (+ (* x (+ (* -1 (pow x 2)) (pow x 2))) (pow x 3)))) (+ (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2))) (pow x 4)))) (pow x 5))> |
#<alt (+ (* t (+ (* t (+ (* -2 (pow x 3)) (+ (* t (+ (* -2 (pow x 2)) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* x (+ (* -1 (pow x 2)) (pow x 2))) (pow x 3))))) (+ (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2))) (pow x 4)))) (pow x 5))> |
#<alt (pow t 5)> |
#<alt (* (pow t 5) (+ 1 (+ (* -2 (/ x t)) (/ x t))))> |
#<alt (* (pow t 5) (+ 1 (+ (* -2 (/ x t)) (+ (* -2 (/ (pow x 2) (pow t 2))) (+ (* -1 (/ (pow x 2) (pow t 2))) (+ (* 2 (/ (pow x 2) (pow t 2))) (/ x t)))))))> |
#<alt (* (pow t 5) (+ 1 (+ (* -2 (/ x t)) (+ (* -2 (/ (pow x 2) (pow t 2))) (+ (* -2 (/ (pow x 3) (pow t 3))) (+ (* -1 (/ (pow x 2) (pow t 2))) (+ (* 2 (/ (pow x 2) (pow t 2))) (+ (/ x t) (+ (/ (* x (+ (* -1 (pow x 2)) (pow x 2))) (pow t 3)) (/ (pow x 3) (pow t 3)))))))))))> |
#<alt (pow t 5)> |
#<alt (* -1 (* (pow t 5) (- (+ (* -1 (/ x t)) (* 2 (/ x t))) 1)))> |
#<alt (* -1 (* (pow t 5) (- (* -1 (/ (+ (* -2 (/ (pow x 2) t)) (+ (* -1 (+ (* -1 x) (* 2 x))) (+ (/ (* x (+ x (* -1 x))) t) (/ (pow x 2) t)))) t)) 1)))> |
#<alt (* -1 (* (pow t 5) (- (* -1 (/ (+ (* -1 (+ (* -1 x) (* 2 x))) (* -1 (/ (+ (* -1 (+ (* -2 (pow x 2)) (+ (* x (+ x (* -1 x))) (pow x 2)))) (+ (* 2 (/ (pow x 3) t)) (/ (* x (+ (* -2 (pow x 2)) (pow x 2))) t))) t))) t)) 1)))> |
#<alt (pow t 5)> |
#<alt (+ (* x (+ (* -2 (pow t 4)) (pow t 4))) (pow t 5))> |
#<alt (+ (* x (+ (* -2 (pow t 4)) (+ (* x (+ (* -2 (pow t 3)) (+ (* (pow t 2) (+ t (* -1 t))) (pow t 3)))) (pow t 4)))) (pow t 5))> |
#<alt (+ (* x (+ (* -2 (pow t 4)) (+ (* x (+ (* -2 (pow t 3)) (+ (* x (+ (* -2 (pow t 2)) (+ (* t (+ t (* -1 t))) (pow t 2)))) (+ (* (pow t 2) (+ t (* -1 t))) (pow t 3))))) (pow t 4)))) (pow t 5))> |
#<alt (pow x 5)> |
#<alt (* (pow x 5) (+ 1 (+ (* -1 (/ t x)) (* 2 (/ t x)))))> |
#<alt (* (pow x 5) (+ 1 (+ (* -2 (/ (pow t 2) (pow x 2))) (+ (* -1 (/ t x)) (+ (* 2 (/ t x)) (+ (/ (* t (+ t (* -1 t))) (pow x 2)) (/ (pow t 2) (pow x 2))))))))> |
#<alt (* (pow x 5) (+ 1 (+ (* -2 (/ (pow t 2) (pow x 2))) (+ (* -2 (/ (pow t 3) (pow x 3))) (+ (* -1 (/ t x)) (+ (* 2 (/ t x)) (+ (/ (* t (+ t (* -1 t))) (pow x 2)) (+ (/ (* (pow t 2) (+ t (* -1 t))) (pow x 3)) (+ (/ (pow t 2) (pow x 2)) (/ (pow t 3) (pow x 3)))))))))))> |
#<alt (pow x 5)> |
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ (* -1 t) (* 2 t)) x)) 1)))> |
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ (* -1 t) (+ (* -1 (/ (+ (* -2 (pow t 2)) (+ (* 2 (pow t 2)) (pow t 2))) x)) (* 2 t))) x)) 1)))> |
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ (* -1 t) (+ (* -1 (/ (+ (* -2 (pow t 2)) (+ (* -1 (/ (+ (* -1 (pow t 3)) (+ (* t (+ (* -2 (pow t 2)) (pow t 2))) (pow t 3))) x)) (+ (* 2 (pow t 2)) (pow t 2)))) x)) (* 2 t))) x)) 1)))> |
#<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 (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)> |
#<alt (* (pow t 2) (+ 1 (/ x t)))> |
#<alt (* (pow t 2) (+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (pow x 2) t))) t))))> |
#<alt (* (pow t 2) (+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (pow x 2) t))) t))))> |
#<alt (pow t 2)> |
#<alt (+ (* t x) (pow t 2))> |
#<alt (+ (* x (+ t x)) (pow t 2))> |
#<alt (+ (* x (+ t x)) (pow t 2))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (/ t x)))> |
#<alt (* (pow x 2) (+ 1 (+ (/ t x) (/ (pow t 2) (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1 (+ (/ t x) (/ (pow t 2) (pow x 2)))))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (/ t x)))> |
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 t) (* -1 (/ (pow t 2) x))) x))))> |
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 t) (* -1 (/ (pow t 2) x))) x))))> |
#<alt (* -1 (pow x 2))> |
#<alt (- (* -1 (* 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 (* -1 (/ x t))))> |
#<alt (* (pow t 2) (- (+ 1 (* -1 (/ (pow x 2) (pow t 2)))) (/ x t)))> |
#<alt (* (pow t 2) (- (+ 1 (* -1 (/ (pow x 2) (pow t 2)))) (/ x t)))> |
#<alt (pow t 2)> |
#<alt (* (pow t 2) (+ 1 (* -1 (/ x t))))> |
#<alt (* (pow t 2) (+ 1 (* -1 (/ (- (/ (pow x 2) t) (* -1 x)) t))))> |
#<alt (* (pow t 2) (+ 1 (* -1 (/ (- (/ (pow x 2) t) (* -1 x)) t))))> |
#<alt (pow t 2)> |
#<alt (+ (* -1 (* t x)) (pow t 2))> |
#<alt (+ (* x (- (* -1 x) t)) (pow t 2))> |
#<alt (+ (* x (- (* -1 x) t)) (pow t 2))> |
#<alt (* -1 (pow x 2))> |
#<alt (* (pow x 2) (- (* -1 (/ t x)) 1))> |
#<alt (* (pow x 2) (- (/ (pow t 2) (pow x 2)) (+ 1 (/ t x))))> |
#<alt (* (pow x 2) (- (/ (pow t 2) (pow x 2)) (+ 1 (/ t x))))> |
#<alt (* -1 (pow x 2))> |
#<alt (* (pow x 2) (- (* -1 (/ t x)) 1))> |
#<alt (* (pow x 2) (- (* -1 (/ (- (* -1 (/ (pow t 2) x)) (* -1 t)) x)) 1))> |
#<alt (* (pow x 2) (- (* -1 (/ (- (* -1 (/ (pow t 2) x)) (* -1 t)) x)) 1))> |
207 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | t | @ | -inf | (* (* (+ (* t t) (* x (+ t x))) (- (* t t) (* x (+ t x)))) (- t x)) |
| 1.0ms | x | @ | inf | (* (* (+ (* t t) (* x (+ t x))) (- (* t t) (* x (+ t x)))) (- t x)) |
| 1.0ms | t | @ | inf | (/ t y) |
| 0.0ms | t | @ | inf | (* (* (+ (* t t) (* x (+ t x))) (- (* t t) (* x (+ t x)))) (- t x)) |
| 0.0ms | t | @ | 0 | (* (* (+ (* t t) (* x (+ t x))) (- (* t t) (* x (+ t x)))) (- t x)) |
| 1× | egg-herbie |
| 13 670× | lower-fma.f64 |
| 13 670× | lower-fma.f32 |
| 8 318× | lower-+.f64 |
| 8 318× | lower-+.f32 |
| 4 484× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 904 | 28200 |
| 1 | 3124 | 24315 |
| 0 | 9582 | 23640 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
x |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (* z (- t x))) |
(+ x (+ (* z (- t x)) (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y))) |
(+ x (+ (* z (- t x)) (+ (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y) (/ (* z (- (+ (* 1/2 (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3))))) (* 1/2 (pow x 3))) (+ (* 1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3))))) (* 1/2 (pow t 3))))) (pow y 2))))) |
(+ x (+ (* z (- t x)) (+ (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y) (+ (/ (* z (- (+ (* -1/2 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))))) (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (* 1/2 (+ (* -1 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/6 (pow t 3)))))) (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (* 1/12 (pow t 4)))))))) (+ (* -1/2 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (* -1/2 (pow t 3))))) (+ (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2)))) (* 1/2 (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4)))))))))) (pow y 3)) (/ (* z (- (+ (* 1/2 (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3))))) (* 1/2 (pow x 3))) (+ (* 1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3))))) (* 1/2 (pow t 3))))) (pow y 2)))))) |
(+ x (* -1 (* z (- (* -1 t) (* -1 x))))) |
(+ x (+ (* -1 (* z (- (* -1 t) (* -1 x)))) (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y))) |
(+ x (+ (* -1 (* z (- (* -1 t) (* -1 x)))) (* -1 (/ (+ (* -1 (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))))) (/ (* z (- (+ (* -1/2 (pow x 3)) (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))))) (+ (* -1/2 (pow t 3)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))))) y)) y)))) |
(+ x (+ (* -1 (* z (- (* -1 t) (* -1 x)))) (* -1 (/ (+ (* -1 (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))))) (* -1 (/ (+ (* -1 (* z (- (+ (* -1/2 (pow x 3)) (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))))) (+ (* -1/2 (pow t 3)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))))) (/ (* z (- (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (+ (* 1/2 (* x (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) (* 1/2 (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (+ (* 1/12 (pow t 4)) (* t (+ (* -1/6 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))))))))) (+ (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2)))) (+ (* 1/2 (* t (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))) (* 1/2 (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (+ (* 1/12 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))))))))) y)) y))) y)))) |
(* 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 |
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x |
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(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
x |
(+ x (* z (- t x))) |
(+ x (* z (- t x))) |
(+ x (* z (- t x))) |
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(* z (- (+ t (/ x z)) x)) |
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(* z (- t x)) |
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(* t z) |
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(* t (+ z (+ (* -1 (/ (* x z) t)) (/ x t)))) |
(* t (+ z (+ (* -1 (/ (* x z) t)) (/ x t)))) |
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(pow x 5) |
(+ (* t (+ (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2))) (pow x 4))) (pow x 5)) |
(+ (* t (+ (* t (+ (* -2 (pow x 3)) (+ (* x (+ (* -1 (pow x 2)) (pow x 2))) (pow x 3)))) (+ (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2))) (pow x 4)))) (pow x 5)) |
(+ (* t (+ (* t (+ (* -2 (pow x 3)) (+ (* t (+ (* -2 (pow x 2)) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* x (+ (* -1 (pow x 2)) (pow x 2))) (pow x 3))))) (+ (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2))) (pow x 4)))) (pow x 5)) |
(pow t 5) |
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(pow t 5) |
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(pow t 5) |
(+ (* x (+ (* -2 (pow t 4)) (pow t 4))) (pow t 5)) |
(+ (* x (+ (* -2 (pow t 4)) (+ (* x (+ (* -2 (pow t 3)) (+ (* (pow t 2) (+ t (* -1 t))) (pow t 3)))) (pow t 4)))) (pow t 5)) |
(+ (* x (+ (* -2 (pow t 4)) (+ (* x (+ (* -2 (pow t 3)) (+ (* x (+ (* -2 (pow t 2)) (+ (* t (+ t (* -1 t))) (pow t 2)))) (+ (* (pow t 2) (+ t (* -1 t))) (pow t 3))))) (pow t 4)))) (pow t 5)) |
(pow x 5) |
(* (pow x 5) (+ 1 (+ (* -1 (/ t x)) (* 2 (/ t x))))) |
(* (pow x 5) (+ 1 (+ (* -2 (/ (pow t 2) (pow x 2))) (+ (* -1 (/ t x)) (+ (* 2 (/ t x)) (+ (/ (* t (+ t (* -1 t))) (pow x 2)) (/ (pow t 2) (pow x 2)))))))) |
(* (pow x 5) (+ 1 (+ (* -2 (/ (pow t 2) (pow x 2))) (+ (* -2 (/ (pow t 3) (pow x 3))) (+ (* -1 (/ t x)) (+ (* 2 (/ t x)) (+ (/ (* t (+ t (* -1 t))) (pow x 2)) (+ (/ (* (pow t 2) (+ t (* -1 t))) (pow x 3)) (+ (/ (pow t 2) (pow x 2)) (/ (pow t 3) (pow x 3))))))))))) |
(pow x 5) |
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(* -1 (* (pow x 5) (- (* -1 (/ (+ (* -1 t) (+ (* -1 (/ (+ (* -2 (pow t 2)) (+ (* 2 (pow t 2)) (pow t 2))) x)) (* 2 t))) x)) 1))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ (* -1 t) (+ (* -1 (/ (+ (* -2 (pow t 2)) (+ (* -1 (/ (+ (* -1 (pow t 3)) (+ (* t (+ (* -2 (pow t 2)) (pow t 2))) (pow t 3))) x)) (+ (* 2 (pow t 2)) (pow t 2)))) x)) (* 2 t))) x)) 1))) |
(/ x y) |
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(* 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))) |
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(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
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(/ x y) |
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(* -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)) |
(* -1 x) |
(- t x) |
(- t x) |
(- t x) |
t |
(* t (+ 1 (* -1 (/ x t)))) |
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(* t (+ 1 (* -1 (/ x t)))) |
t |
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t |
(+ t (* -1 x)) |
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(* x (- (/ t x) 1)) |
(* -1 x) |
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(* -1 (* x (+ 1 (* -1 (/ t x))))) |
(* -1 (* x (+ 1 (* -1 (/ t x))))) |
(* -1 (/ x y)) |
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(+ (* -1 (/ x y)) (/ t y)) |
(+ (* -1 (/ x y)) (/ t y)) |
(/ t y) |
(* t (+ (* -1 (/ x (* t y))) (/ 1 y))) |
(* t (+ (* -1 (/ x (* t y))) (/ 1 y))) |
(* t (+ (* -1 (/ x (* t y))) (/ 1 y))) |
(/ t y) |
(* -1 (* t (- (/ x (* t y)) (/ 1 y)))) |
(* -1 (* t (- (/ x (* t y)) (/ 1 y)))) |
(* -1 (* t (- (/ x (* t y)) (/ 1 y)))) |
(/ t y) |
(+ (* -1 (/ x y)) (/ t y)) |
(+ (* -1 (/ x y)) (/ t y)) |
(+ (* -1 (/ x y)) (/ t y)) |
(* -1 (/ x y)) |
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(* -1 (/ x y)) |
(* -1 (* x (+ (* -1 (/ t (* x y))) (/ 1 y)))) |
(* -1 (* x (+ (* -1 (/ t (* x y))) (/ 1 y)))) |
(* -1 (* x (+ (* -1 (/ t (* x y))) (/ 1 y)))) |
(/ (- t x) y) |
(/ (- t x) y) |
(/ (- t x) y) |
(/ (- t x) y) |
(/ (- t x) y) |
(/ (- t x) y) |
(/ (- t x) y) |
(/ (- t x) y) |
(/ (- t x) y) |
(/ (- t x) y) |
(/ (- t x) y) |
(/ (- t x) y) |
(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 x)) (pow x 2)) |
(- (* t (- t x)) (pow x 2)) |
(- (* t (- t x)) (pow x 2)) |
(pow t 2) |
(* (pow t 2) (+ 1 (* -1 (/ x t)))) |
(* (pow t 2) (- (+ 1 (* -1 (/ (pow x 2) (pow t 2)))) (/ x t))) |
(* (pow t 2) (- (+ 1 (* -1 (/ (pow x 2) (pow t 2)))) (/ x t))) |
(pow t 2) |
(* (pow t 2) (+ 1 (* -1 (/ x t)))) |
(* (pow t 2) (+ 1 (* -1 (/ (- (/ (pow x 2) t) (* -1 x)) t)))) |
(* (pow t 2) (+ 1 (* -1 (/ (- (/ (pow x 2) t) (* -1 x)) t)))) |
(pow t 2) |
(+ (* -1 (* t x)) (pow t 2)) |
(+ (* x (- (* -1 x) t)) (pow t 2)) |
(+ (* x (- (* -1 x) t)) (pow t 2)) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (* -1 (/ t x)) 1)) |
(* (pow x 2) (- (/ (pow t 2) (pow x 2)) (+ 1 (/ t x)))) |
(* (pow x 2) (- (/ (pow t 2) (pow x 2)) (+ 1 (/ t x)))) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (* -1 (/ t x)) 1)) |
(* (pow x 2) (- (* -1 (/ (- (* -1 (/ (pow t 2) x)) (* -1 t)) x)) 1)) |
(* (pow x 2) (- (* -1 (/ (- (* -1 (/ (pow t 2) x)) (* -1 t)) x)) 1)) |
| 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 #s(literal -1/3 binary64) (/.f64 (*.f64 z (*.f64 t t)) (*.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 2/15 binary64) (/.f64 (*.f64 z (*.f64 t t)) (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 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y)))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))))))) x) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(fma.f64 (*.f64 y z) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y)))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))))))) x) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(fma.f64 (*.f64 y z) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y)))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))))))) x) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(fma.f64 (*.f64 y z) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y)))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))))))) x) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(fma.f64 (*.f64 y z) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y)))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))))))) x) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(fma.f64 (*.f64 y z) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y)))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))))))) x) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(fma.f64 (*.f64 y z) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y)))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))))))) x) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(fma.f64 (*.f64 y z) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y)))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))))))) x) |
x |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(fma.f64 (*.f64 y z) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y)))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))))))) x) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(fma.f64 (*.f64 y z) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y)))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))))))) x) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(fma.f64 (*.f64 y z) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 t (neg.f64 y)))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))))))) 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 (-.f64 t x) (/.f64 #s(literal 0 binary64) 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 (+ (* -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 (/.f64 #s(literal 0 binary64) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 t t) #s(literal -1/2 binary64)) (neg.f64 t) (fma.f64 (*.f64 t (*.f64 t t)) #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (neg.f64 x) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64) (*.f64 t (*.f64 t t)))))) (*.f64 y y))) (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) (+ (/ (* 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 (-.f64 t x) (/.f64 #s(literal 0 binary64) y)) (fma.f64 z (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 t t) #s(literal -1/2 binary64)) (neg.f64 t) (fma.f64 (*.f64 t (*.f64 t t)) #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (neg.f64 x) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64) (*.f64 t (*.f64 t t)))))) (*.f64 y y)) (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (neg.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x))))) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (*.f64 t t) (*.f64 t t)) #s(literal -1/12 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 t t)) (*.f64 (*.f64 t t) #s(literal -1/2 binary64)) (*.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 t (*.f64 t t))) (*.f64 t (*.f64 (*.f64 t t) #s(literal -1/2 binary64)))) (neg.f64 t)))) #s(literal 0 binary64))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 t (*.f64 t t))) (*.f64 t (*.f64 (*.f64 t t) #s(literal -1/2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (neg.f64 x) (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 x) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/12 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal -1/2 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 (-.f64 t x) (/.f64 #s(literal 0 binary64) y)) x) |
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(/.f64 (-.f64 t x) y) |
(/ (- t x) y) |
(/.f64 (-.f64 t x) y) |
(/ (- t x) y) |
(/.f64 (-.f64 t x) y) |
(/ (- t x) y) |
(/.f64 (-.f64 t x) y) |
(/ (- t x) y) |
(/.f64 (-.f64 t x) y) |
(/ (- t x) y) |
(/.f64 (-.f64 t x) y) |
(pow x 2) |
(*.f64 x x) |
(+ (* t x) (pow x 2)) |
(*.f64 x (+.f64 x t)) |
(+ (* t (+ t x)) (pow x 2)) |
(fma.f64 x x (*.f64 t (+.f64 x t))) |
(+ (* t (+ t x)) (pow x 2)) |
(fma.f64 x x (*.f64 t (+.f64 x t))) |
(pow t 2) |
(*.f64 t t) |
(* (pow t 2) (+ 1 (/ x t))) |
(*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (/.f64 x t))) |
(* (pow t 2) (+ 1 (+ (/ x t) (/ (pow x 2) (pow t 2))))) |
(*.f64 (*.f64 t t) (+.f64 (/.f64 (*.f64 x x) (*.f64 t t)) (+.f64 #s(literal 1 binary64) (/.f64 x t)))) |
(* (pow t 2) (+ 1 (+ (/ x t) (/ (pow x 2) (pow t 2))))) |
(*.f64 (*.f64 t t) (+.f64 (/.f64 (*.f64 x x) (*.f64 t t)) (+.f64 #s(literal 1 binary64) (/.f64 x t)))) |
(pow t 2) |
(*.f64 t t) |
(* (pow t 2) (+ 1 (/ x t))) |
(*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (/.f64 x t))) |
(* (pow t 2) (+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (pow x 2) t))) t)))) |
(*.f64 (*.f64 t t) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 x x) t) x) t)))) |
(* (pow t 2) (+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (pow x 2) t))) t)))) |
(*.f64 (*.f64 t t) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 x x) t) x) t)))) |
(pow t 2) |
(*.f64 t t) |
(+ (* t x) (pow t 2)) |
(*.f64 t (+.f64 x t)) |
(+ (* x (+ t x)) (pow t 2)) |
(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 x (neg.f64 x)) |
(- (* -1 (* t x)) (pow x 2)) |
(*.f64 x (-.f64 (neg.f64 t) x)) |
(- (* t (- t x)) (pow x 2)) |
(fma.f64 t (-.f64 t x) (*.f64 x (neg.f64 x))) |
(- (* t (- t x)) (pow x 2)) |
(fma.f64 t (-.f64 t x) (*.f64 x (neg.f64 x))) |
(pow t 2) |
(*.f64 t t) |
(* (pow t 2) (+ 1 (* -1 (/ x t)))) |
(*.f64 (*.f64 t t) (-.f64 #s(literal 1 binary64) (/.f64 x t))) |
(* (pow t 2) (- (+ 1 (* -1 (/ (pow x 2) (pow t 2)))) (/ x t))) |
(*.f64 (*.f64 t t) (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 t t))) (/.f64 x t))) |
(* (pow t 2) (- (+ 1 (* -1 (/ (pow x 2) (pow t 2)))) (/ x t))) |
(*.f64 (*.f64 t t) (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 t t))) (/.f64 x t))) |
(pow t 2) |
(*.f64 t t) |
(* (pow t 2) (+ 1 (* -1 (/ x t)))) |
(*.f64 (*.f64 t t) (-.f64 #s(literal 1 binary64) (/.f64 x t))) |
(* (pow t 2) (+ 1 (* -1 (/ (- (/ (pow x 2) t) (* -1 x)) t)))) |
(*.f64 (*.f64 t t) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 x x) t) x) t))) |
(* (pow t 2) (+ 1 (* -1 (/ (- (/ (pow x 2) t) (* -1 x)) t)))) |
(*.f64 (*.f64 t t) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 x x) t) x) t))) |
(pow t 2) |
(*.f64 t t) |
(+ (* -1 (* t x)) (pow t 2)) |
(*.f64 t (-.f64 t x)) |
(+ (* x (- (* -1 x) t)) (pow t 2)) |
(fma.f64 x (-.f64 (neg.f64 t) x) (*.f64 t t)) |
(+ (* x (- (* -1 x) t)) (pow t 2)) |
(fma.f64 x (-.f64 (neg.f64 t) x) (*.f64 t t)) |
(* -1 (pow x 2)) |
(*.f64 x (neg.f64 x)) |
(* (pow x 2) (- (* -1 (/ t x)) 1)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) (/.f64 t (neg.f64 x)))) |
(* (pow x 2) (- (/ (pow t 2) (pow x 2)) (+ 1 (/ t x)))) |
(*.f64 (*.f64 x x) (-.f64 (/.f64 (*.f64 t t) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 t x)))) |
(* (pow x 2) (- (/ (pow t 2) (pow x 2)) (+ 1 (/ t x)))) |
(*.f64 (*.f64 x x) (-.f64 (/.f64 (*.f64 t t) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 t x)))) |
(* -1 (pow x 2)) |
(*.f64 x (neg.f64 x)) |
(* (pow x 2) (- (* -1 (/ t x)) 1)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) (/.f64 t (neg.f64 x)))) |
(* (pow x 2) (- (* -1 (/ (- (* -1 (/ (pow t 2) x)) (* -1 t)) x)) 1)) |
(*.f64 (*.f64 x x) (+.f64 (/.f64 (+.f64 t (/.f64 (*.f64 t (neg.f64 t)) x)) (neg.f64 x)) #s(literal -1 binary64))) |
(* (pow x 2) (- (* -1 (/ (- (* -1 (/ (pow t 2) x)) (* -1 t)) x)) 1)) |
(*.f64 (*.f64 x x) (+.f64 (/.f64 (+.f64 t (/.f64 (*.f64 t (neg.f64 t)) x)) (neg.f64 x)) #s(literal -1 binary64))) |
| 6 174× | lower-*.f32 |
| 6 154× | lower-*.f64 |
| 3 496× | lower-/.f32 |
| 3 486× | lower-/.f64 |
| 2 184× | lower-pow.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 522 |
| 0 | 86 | 465 |
| 1 | 341 | 335 |
| 2 | 3027 | 335 |
| 0 | 8713 | 331 |
| 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 t) (* x (+ t x))) (- t x)) (+ (* t t) (* x (+ t x))))) x) (*.f64 z (-.f64 t x)))) |
#s(approx (+ (* z (/ (* (+ (* t t) (* x (+ t x))) (- t x)) (+ (* t t) (* x (+ 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)) |
#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 x (*.f64 x (neg.f64 x)))) (fma.f64 t t (*.f64 x (+.f64 t x)))) x)) |
(fma.f64 z (/.f64 #s(approx (* (+ (* t t) (* x (+ t x))) (- t x)) (*.f64 x (*.f64 x (neg.f64 x)))) (fma.f64 t t (*.f64 x (+.f64 t x)))) x) |
(/.f64 #s(approx (* (+ (* t t) (* x (+ t x))) (- t x)) (*.f64 x (*.f64 x (neg.f64 x)))) (fma.f64 t t (*.f64 x (+.f64 t x)))) |
#s(approx (* (+ (* t t) (* x (+ t x))) (- t x)) (*.f64 x (*.f64 x (neg.f64 x)))) |
(/.f64 (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))) (-.f64 t x)) (*.f64 (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (+.f64 t x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))) (-.f64 t x)) (*.f64 (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)) |
(fma.f64 z (/.f64 (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))) (-.f64 t x)) (*.f64 (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (+.f64 t x))))) x) |
(*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 (*.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) |
(fma.f64 t t (*.f64 x (+.f64 t x))) |
(-.f64 (*.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 (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 (-.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)))) |
(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)))) |
(+.f64 (neg.f64 (tanh.f64 (/.f64 x y))) #s(approx (tanh (/ t y)) (/.f64 t y))) |
(-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
(-.f64 (/.f64 (*.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (*.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) #s(approx (tanh (/ t y)) (/.f64 t y)))) (fma.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) #s(approx (tanh (/ t y)) (/.f64 t y)) (*.f64 (tanh.f64 (/.f64 x y)) (+.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) (/.f64 (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64)) (fma.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) #s(approx (tanh (/ t y)) (/.f64 t y)) (*.f64 (tanh.f64 (/.f64 x y)) (+.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))))) |
(-.f64 (/.f64 (*.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) #s(approx (tanh (/ t y)) (/.f64 t y))) (+.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (/.f64 (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 2 binary64)) (+.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(fma.f64 #s(literal -1 binary64) (tanh.f64 (/.f64 x y)) #s(approx (tanh (/ t y)) (/.f64 t y))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (-.f64 (*.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) #s(approx (tanh (/ t y)) (/.f64 t y))) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 2 binary64))))) |
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(*.f64 (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))) (/.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))))) |
(*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))))) |
(*.f64 (fma.f64 (*.f64 x (+.f64 t x)) (*.f64 (*.f64 x (+.f64 t x)) (*.f64 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 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))))) (fma.f64 t t (*.f64 x (+.f64 t x)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))) (-.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 (*.f64 x (+.f64 t x)) (*.f64 (*.f64 x (+.f64 t x)) (*.f64 x (+.f64 t x)))))) (fma.f64 t (*.f64 t (*.f64 t t)) (*.f64 (*.f64 x (+.f64 t x)) (fma.f64 t t (*.f64 x (+.f64 t x)))))) |
(+.f64 (*.f64 t t) (neg.f64 (*.f64 x (+.f64 t x)))) |
(+.f64 (neg.f64 (*.f64 x (+.f64 t x))) (*.f64 t t)) |
(-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))) |
(-.f64 (/.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (fma.f64 t (*.f64 t (*.f64 t t)) (*.f64 (*.f64 x (+.f64 t x)) (fma.f64 t t (*.f64 x (+.f64 t x)))))) (/.f64 (*.f64 (*.f64 x (+.f64 t x)) (*.f64 (*.f64 x (+.f64 t x)) (*.f64 x (+.f64 t x)))) (fma.f64 t (*.f64 t (*.f64 t t)) (*.f64 (*.f64 x (+.f64 t x)) (fma.f64 t t (*.f64 x (+.f64 t x))))))) |
(-.f64 (/.f64 (*.f64 t (*.f64 t (*.f64 t t))) (fma.f64 t t (*.f64 x (+.f64 t x)))) (/.f64 (*.f64 (*.f64 x (+.f64 t x)) (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (+.f64 t x))))) |
(-.f64 (-.f64 (*.f64 t t) (*.f64 t x)) (*.f64 x x)) |
(fma.f64 t t (neg.f64 (*.f64 x (+.f64 t x)))) |
(fma.f64 x (neg.f64 (+.f64 t x)) (*.f64 t t)) |
(fma.f64 (neg.f64 x) (+.f64 t x) (*.f64 t t)) |
(fma.f64 (+.f64 t x) (neg.f64 x) (*.f64 t t)) |
(fma.f64 #s(literal -1 binary64) (*.f64 x (+.f64 t x)) (*.f64 t t)) |
(fma.f64 (neg.f64 (+.f64 t x)) x (*.f64 t t)) |
(fma.f64 (exp.f64 (log.f64 t)) (exp.f64 (log.f64 t)) (neg.f64 (*.f64 x (+.f64 t x)))) |
(/.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))) (fma.f64 t t (*.f64 x (+.f64 t x)))) |
(/.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))) (-.f64 (*.f64 t t) (neg.f64 (*.f64 x (+.f64 t x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 t (*.f64 t (*.f64 t t)) (*.f64 (*.f64 x (+.f64 t x)) (fma.f64 t t (*.f64 x (+.f64 t x))))) (-.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 (*.f64 x (+.f64 t x)) (*.f64 (*.f64 x (+.f64 t x)) (*.f64 x (+.f64 t x))))))) |
(/.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (neg.f64 (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))))) (neg.f64 (fma.f64 t t (*.f64 x (+.f64 t x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 (*.f64 x (+.f64 t x)) (*.f64 (*.f64 x (+.f64 t x)) (*.f64 x (+.f64 t x))))) (fma.f64 t (*.f64 t (*.f64 t t)) (*.f64 (*.f64 x (+.f64 t x)) (fma.f64 t t (*.f64 x (+.f64 t x)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 (*.f64 x (+.f64 t x)) (*.f64 (*.f64 x (+.f64 t x)) (*.f64 x (+.f64 t x))))) (fma.f64 t (*.f64 t (*.f64 t t)) (-.f64 (*.f64 (*.f64 x (+.f64 t x)) (*.f64 x (+.f64 t x))) (*.f64 (*.f64 t t) (neg.f64 (*.f64 x (+.f64 t x))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 (*.f64 x (+.f64 t x)) (*.f64 (*.f64 x (+.f64 t x)) (*.f64 x (+.f64 t x)))))) (neg.f64 (fma.f64 t (*.f64 t (*.f64 t t)) (*.f64 (*.f64 x (+.f64 t x)) (fma.f64 t t (*.f64 x (+.f64 t x))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (fma.f64 t (*.f64 t (*.f64 t t)) (*.f64 (*.f64 x (+.f64 t x)) (fma.f64 t t (*.f64 x (+.f64 t x)))))) (*.f64 (fma.f64 t (*.f64 t (*.f64 t t)) (*.f64 (*.f64 x (+.f64 t x)) (fma.f64 t t (*.f64 x (+.f64 t x))))) (*.f64 (*.f64 x (+.f64 t x)) (*.f64 (*.f64 x (+.f64 t x)) (*.f64 x (+.f64 t x)))))) (*.f64 (fma.f64 t (*.f64 t (*.f64 t t)) (*.f64 (*.f64 x (+.f64 t x)) (fma.f64 t t (*.f64 x (+.f64 t x))))) (fma.f64 t (*.f64 t (*.f64 t t)) (*.f64 (*.f64 x (+.f64 t x)) (fma.f64 t t (*.f64 x (+.f64 t x))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 t (*.f64 t (*.f64 t t))) (fma.f64 t t (*.f64 x (+.f64 t x)))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (*.f64 (*.f64 x (+.f64 t x)) (*.f64 x (+.f64 t x))))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (+.f64 t x))))) |
(pow.f64 (/.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 t (*.f64 t (*.f64 t t)) (*.f64 (*.f64 x (+.f64 t x)) (fma.f64 t t (*.f64 x (+.f64 t x))))) (-.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 (*.f64 x (+.f64 t x)) (*.f64 (*.f64 x (+.f64 t x)) (*.f64 x (+.f64 t x)))))) #s(literal -1 binary64)) |
(*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) |
(*.f64 (-.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 (*.f64 x (+.f64 t x)) (*.f64 (*.f64 x (+.f64 t x)) (*.f64 x (+.f64 t x))))) (/.f64 #s(literal 1 binary64) (fma.f64 t (*.f64 t (*.f64 t t)) (*.f64 (*.f64 x (+.f64 t x)) (fma.f64 t t (*.f64 x (+.f64 t x))))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))) (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))))) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))) (fma.f64 (*.f64 x (+.f64 t x)) (*.f64 (*.f64 x (+.f64 t x)) (*.f64 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))))) |
Compiled 62 322 to 2 776 computations (95.5% saved)
35 alts after pruning (30 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 521 | 18 | 1 539 |
| Fresh | 4 | 12 | 16 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 3 | 4 |
| Total | 1 529 | 35 | 1 564 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 65.7% | (fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x) |
| ✓ | 98.1% | (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) |
| ✓ | 68.6% | (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) |
| 57.5% | (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) y) z x) | |
| 48.0% | (fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))) y x) | |
| 56.4% | (fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y)))) y x) | |
| 46.9% | (fma.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)) x) | |
| 29.7% | (/.f64 (*.f64 (fma.f64 (*.f64 y 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 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))))) | |
| 20.9% | (/.f64 (*.f64 (fma.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)))) (-.f64 (*.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))) x))) (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 y (*.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))) (*.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))))) (-.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)))))))) | |
| 28.5% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))))) (*.f64 (fma.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) x) (-.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y)))))))) | |
| 29.6% | (/.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 (*.f64 y 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)))))))) | |
| 30.6% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y))))) | |
| 46.9% | (+.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))))))) | |
| 46.9% | (+.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)))))) | |
| 25.0% | (+.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)))))) | |
| 26.7% | (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 #s(approx (+ (* z (+ x (neg t))) (/ (+ (* (- (+ (* x (* (* x x) -1/2)) (* 1/3 (* t (* t t)))) (* x (* (* x x) -1/6))) (/ z y)) (* z 0)) y)) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 z (*.f64 t (*.f64 t t)))) (*.f64 y y)))))) | |
| 21.2% | (*.f64 (*.f64 (fma.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)))) (-.f64 (*.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))) x))) (fma.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)) x)) (/.f64 #s(literal 1 binary64) (fma.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)))) (-.f64 (*.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))) x))))) | |
| 21.1% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) #s(approx (- (* t t) (* x (+ t x))) (*.f64 t t))) (-.f64 t x)) (*.f64 (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))) (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 x (+.f64 x t))) (-.f64 t x)) (fma.f64 t t (*.f64 x (+.f64 t x)))) x)) | |
| 32.0% | #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)) (fma.f64 t t (*.f64 x (+.f64 t x)))) x)) | |
| 23.3% | #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 (*.f64 x (*.f64 x x)) (+.f64 (-.f64 (-.f64 (+.f64 (/.f64 t x) (/.f64 (*.f64 t t) (*.f64 x x))) (/.f64 (*.f64 t t) (*.f64 x x))) (/.f64 t x)) #s(literal -1 binary64)))) (fma.f64 t t (*.f64 x (+.f64 t x)))) x)) | |
| 32.5% | #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 x (*.f64 x (neg.f64 x)))) #s(approx (+ (* t t) (* x (+ t x))) (*.f64 x (+.f64 x t)))) x)) | |
| 25.5% | #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 x (*.f64 x (neg.f64 x)))) #s(approx (+ (* t t) (* x (+ t x))) (*.f64 t (+.f64 x t)))) x)) | |
| 24.3% | #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 x (*.f64 x (neg.f64 x)))) #s(approx (+ (* t t) (* x (+ t x))) (*.f64 t t))) x)) | |
| 43.6% | #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))) (fma.f64 t t (*.f64 x (+.f64 t x)))) x)) | |
| 24.0% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(approx (* (* (+ (* t t) (* x (+ t x))) (- (* t t) (* x (+ t x)))) (- t x)) (pow.f64 x #s(literal 5 binary64))) (*.f64 (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)) | |
| 35.6% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(approx (* (* (+ (* t t) (* x (+ t x))) (- (* t t) (* x (+ t x)))) (- t x)) (pow.f64 t #s(literal 5 binary64))) (*.f64 (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)) | |
| 33.2% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (fma.f64 t (*.f64 t t) (*.f64 x (*.f64 x x)))) (fma.f64 x (-.f64 x t) (*.f64 t t))) x)) | |
| 56.9% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (/ (* (+ (* t t) (* x (+ t x))) (- t x)) (+ (* t t) (* x (+ t x)))) (neg.f64 x)) x)) | |
| 21.6% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (*.f64 (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x)))) (-.f64 (*.f64 z (-.f64 t x)) x)) (*.f64 (-.f64 (*.f64 z (-.f64 t x)) x) (*.f64 x x))) (*.f64 (-.f64 (*.f64 z (-.f64 t x)) x) (-.f64 (*.f64 z (-.f64 t x)) x)))) | |
| 26.8% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (/ (* (+ (* t t) (* x (+ t x))) (- t x)) (+ (* t t) (* x (+ t x))))) x) (fma.f64 z t (*.f64 z (neg.f64 x))))) | |
| 26.8% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (/ (* (+ (* t t) (* x (+ t x))) (- t x)) (+ (* t t) (* x (+ t x))))) x) (/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 t x))))) | |
| ✓ | 26.8% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (/ (* (+ (* t t) (* x (+ t x))) (- t x)) (+ (* t t) (* x (+ t x))))) x) (*.f64 z (-.f64 t x)))) |
| 13.3% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (/ (* (+ (* t t) (* x (+ t x))) (- t x)) (+ (* t t) (* x (+ t x))))) x) (*.f64 z #s(approx (- t x) (neg.f64 x))))) | |
| ✓ | 17.7% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) |
Compiled 2 257 to 645 computations (71.4% 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 t) (* x (+ t x))) (- t x)) (+ (* t t) (* x (+ t x))))) x) (*.f64 z #s(approx (- t x) (neg.f64 x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (/ (* (+ (* t t) (* x (+ t x))) (- t x)) (+ (* t t) (* x (+ t x))))) x) (*.f64 z (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (neg.f64 x)) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (/ (* (+ (* t t) (* x (+ t x))) (- t x)) (+ (* t t) (* x (+ t x)))) (neg.f64 x)) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (/ (* (+ (* t t) (* x (+ t x))) (- t x)) (+ (* t t) (* x (+ t x))))) x) (fma.f64 z t (*.f64 z (neg.f64 x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (+.f64 (/.f64 x z) (-.f64 t x))))) |
(fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y)))) y x) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) y) z x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))))) |
(fma.f64 (*.f64 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 t) (* x (+ t x))) (- t x)) (+ (* t t) (* x (+ t x))))) x) (/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 t x))))) |
(fma.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))) |
(+.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 #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))))) (fma.f64 z (/.f64 #s(approx (* (+ (* t t) (* x (+ t x))) (- t x)) (*.f64 x (*.f64 x (neg.f64 x)))) #s(approx (+ (* t t) (* x (+ t x))) (*.f64 t 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 x (*.f64 x (neg.f64 x)))) #s(approx (+ (* t t) (* x (+ t x))) (*.f64 t (+.f64 x 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 x (*.f64 x (neg.f64 x)))) #s(approx (+ (* t t) (* x (+ t x))) (*.f64 x (+.f64 x t)))) 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))))))) |
#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))) (fma.f64 t t (*.f64 x (+.f64 t x)))) x)) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 #s(approx (+ (* z (+ x (neg t))) (/ (+ (* (- (+ (* x (* (* x x) -1/2)) (* 1/3 (* t (* t t)))) (* x (* (* x x) -1/6))) (/ z y)) (* z 0)) y)) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 z (*.f64 t (*.f64 t t)))) (*.f64 y y)))))) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 #s(approx (+ (* z (+ x (neg t))) (/ (+ (* (- (+ (* x (* (* x x) -1/2)) (* 1/3 (* t (* t t)))) (* x (* (* x x) -1/6))) (/ z y)) (* z 0)) y)) (/.f64 (*.f64 z (*.f64 #s(literal -1/3 binary64) (*.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 y) (*.f64 y x)) (*.f64 y y))))) |
#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 x (*.f64 x (neg.f64 x)))) (fma.f64 t t (*.f64 x (+.f64 t x)))) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (*.f64 #s(approx (+ (* t t) (* x (+ t x))) (*.f64 t (+.f64 x t))) (-.f64 t x)) (fma.f64 t t (*.f64 x (+.f64 t x)))) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (*.f64 #s(approx (+ (* t t) (* x (+ t x))) (*.f64 x (+.f64 x t))) (-.f64 t x)) (fma.f64 t t (*.f64 x (+.f64 t x)))) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (fma.f64 t t (*.f64 x (+.f64 t x)))) x)) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (fma.f64 t (*.f64 t t) (*.f64 x (*.f64 x x)))) (fma.f64 x (-.f64 x t) (*.f64 t t))) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) #s(approx (- (* t t) (* x (+ t x))) (*.f64 t t))) (-.f64 t x)) (*.f64 (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)) |
(/.f64 (*.f64 (fma.f64 (*.f64 y 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 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 (-.f64 x t) (*.f64 (-.f64 t x) (-.f64 t x))) (*.f64 x (*.f64 x x))) (fma.f64 x (-.f64 x (*.f64 z (-.f64 t x))) (*.f64 z (*.f64 (-.f64 x t) (*.f64 z (-.f64 x t))))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))) (-.f64 t x)) (*.f64 (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))))) (*.f64 (fma.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) x) (-.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y)))))))) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 z (+.f64 x (neg.f64 t)) (/.f64 (fma.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 t (*.f64 t t)))) (*.f64 x (*.f64 (*.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 (-.f64 (*.f64 (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x)))) (-.f64 (*.f64 z (-.f64 t x)) x)) (*.f64 (-.f64 (*.f64 z (-.f64 t x)) x) (*.f64 x x))) (*.f64 (-.f64 (*.f64 z (-.f64 t x)) x) (-.f64 (*.f64 z (-.f64 t x)) 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 (*.f64 y 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 (-.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) (*.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))))))) |
#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 (*.f64 x (*.f64 x x)) (+.f64 (-.f64 (-.f64 (+.f64 (/.f64 t x) (/.f64 (*.f64 t t) (*.f64 x x))) (/.f64 (*.f64 t t) (*.f64 x x))) (/.f64 t x)) #s(literal -1 binary64)))) (fma.f64 t t (*.f64 x (+.f64 t x)))) x)) |
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) |
(fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(approx (* (* (+ (* t t) (* x (+ t x))) (- (* t t) (* x (+ t x)))) (- t x)) (pow.f64 t #s(literal 5 binary64))) (*.f64 (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(approx (* (* (+ (* t t) (* x (+ t x))) (- (* t t) (* x (+ t x)))) (- t x)) (pow.f64 x #s(literal 5 binary64))) (*.f64 (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)) |
(*.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))) (-.f64 (*.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))) x))) (fma.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)) x)) (/.f64 #s(literal 1 binary64) (fma.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)))) (-.f64 (*.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 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (*.f64 t (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 t t) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) y)))) (tanh.f64 (/.f64 x y))))) |
(/.f64 (*.f64 (fma.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)))) (-.f64 (*.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))) x))) (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 y (*.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))) (*.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))))) (-.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)))))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x (+.f64 t x)) (*.f64 (+.f64 t x) (*.f64 x (*.f64 x (+.f64 t x)))) (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 t t)))) (*.f64 (-.f64 t x) (fma.f64 t t (*.f64 x (+.f64 t x))))) (fma.f64 (*.f64 x (+.f64 t x)) (*.f64 (+.f64 t x) (*.f64 x (*.f64 x (+.f64 t x)))) (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 t t))))) (fma.f64 t t (*.f64 x (+.f64 t x)))) 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)))))) |
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| Outputs |
|---|
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) |
5 calls:
| 42.0ms | x |
| 39.0ms | z |
| 16.0ms | t |
| 16.0ms | y |
| 16.0ms | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.1% | 1 | x |
| 98.1% | 1 | y |
| 98.1% | 1 | z |
| 98.1% | 1 | t |
| 98.1% | 1 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
Compiled 39 to 28 computations (28.2% saved)
| Inputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (/ (* (+ (* t t) (* x (+ t x))) (- t x)) (+ (* t t) (* x (+ t x))))) x) (*.f64 z #s(approx (- t x) (neg.f64 x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (/ (* (+ (* t t) (* x (+ t x))) (- t x)) (+ (* t t) (* x (+ t x))))) x) (*.f64 z (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (neg.f64 x)) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (/ (* (+ (* t t) (* x (+ t x))) (- t x)) (+ (* t t) (* x (+ t x)))) (neg.f64 x)) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (/ (* (+ (* t t) (* x (+ t x))) (- t x)) (+ (* t t) (* x (+ t x))))) x) (fma.f64 z t (*.f64 z (neg.f64 x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (+.f64 (/.f64 x z) (-.f64 t x))))) |
(fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y)))) y x) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) y) z x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))))) |
(fma.f64 (*.f64 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 t) (* x (+ t x))) (- t x)) (+ (* t t) (* x (+ t x))))) x) (/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 t x))))) |
(fma.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))) |
(+.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 #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))))) (fma.f64 z (/.f64 #s(approx (* (+ (* t t) (* x (+ t x))) (- t x)) (*.f64 x (*.f64 x (neg.f64 x)))) #s(approx (+ (* t t) (* x (+ t x))) (*.f64 t 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 x (*.f64 x (neg.f64 x)))) #s(approx (+ (* t t) (* x (+ t x))) (*.f64 t (+.f64 x 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 x (*.f64 x (neg.f64 x)))) #s(approx (+ (* t t) (* x (+ t x))) (*.f64 x (+.f64 x t)))) 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))))))) |
#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))) (fma.f64 t t (*.f64 x (+.f64 t x)))) x)) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 #s(approx (+ (* z (+ x (neg t))) (/ (+ (* (- (+ (* x (* (* x x) -1/2)) (* 1/3 (* t (* t t)))) (* x (* (* x x) -1/6))) (/ z y)) (* z 0)) y)) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 z (*.f64 t (*.f64 t t)))) (*.f64 y y)))))) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 #s(approx (+ (* z (+ x (neg t))) (/ (+ (* (- (+ (* x (* (* x x) -1/2)) (* 1/3 (* t (* t t)))) (* x (* (* x x) -1/6))) (/ z y)) (* z 0)) y)) (/.f64 (*.f64 z (*.f64 #s(literal -1/3 binary64) (*.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 y) (*.f64 y x)) (*.f64 y y))))) |
#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 x (*.f64 x (neg.f64 x)))) (fma.f64 t t (*.f64 x (+.f64 t x)))) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (*.f64 #s(approx (+ (* t t) (* x (+ t x))) (*.f64 t (+.f64 x t))) (-.f64 t x)) (fma.f64 t t (*.f64 x (+.f64 t x)))) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (*.f64 #s(approx (+ (* t t) (* x (+ t x))) (*.f64 x (+.f64 x t))) (-.f64 t x)) (fma.f64 t t (*.f64 x (+.f64 t x)))) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (fma.f64 t t (*.f64 x (+.f64 t x)))) x)) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (fma.f64 t (*.f64 t t) (*.f64 x (*.f64 x x)))) (fma.f64 x (-.f64 x t) (*.f64 t t))) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) #s(approx (- (* t t) (* x (+ t x))) (*.f64 t t))) (-.f64 t x)) (*.f64 (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)) |
(/.f64 (*.f64 (fma.f64 (*.f64 y 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 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 (-.f64 x t) (*.f64 (-.f64 t x) (-.f64 t x))) (*.f64 x (*.f64 x x))) (fma.f64 x (-.f64 x (*.f64 z (-.f64 t x))) (*.f64 z (*.f64 (-.f64 x t) (*.f64 z (-.f64 x t))))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))) (-.f64 t x)) (*.f64 (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))))) (*.f64 (fma.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) x) (-.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y)))))))) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 z (+.f64 x (neg.f64 t)) (/.f64 (fma.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 t (*.f64 t t)))) (*.f64 x (*.f64 (*.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 (-.f64 (*.f64 (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x)))) (-.f64 (*.f64 z (-.f64 t x)) x)) (*.f64 (-.f64 (*.f64 z (-.f64 t x)) x) (*.f64 x x))) (*.f64 (-.f64 (*.f64 z (-.f64 t x)) x) (-.f64 (*.f64 z (-.f64 t x)) 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 (*.f64 y 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 (-.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) (*.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))))))) |
#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 (*.f64 x (*.f64 x x)) (+.f64 (-.f64 (-.f64 (+.f64 (/.f64 t x) (/.f64 (*.f64 t t) (*.f64 x x))) (/.f64 (*.f64 t t) (*.f64 x x))) (/.f64 t x)) #s(literal -1 binary64)))) (fma.f64 t t (*.f64 x (+.f64 t x)))) x)) |
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) |
(fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(approx (* (* (+ (* t t) (* x (+ t x))) (- (* t t) (* x (+ t x)))) (- t x)) (pow.f64 t #s(literal 5 binary64))) (*.f64 (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 #s(approx (* (* (+ (* t t) (* x (+ t x))) (- (* t t) (* x (+ t x)))) (- t x)) (pow.f64 x #s(literal 5 binary64))) (*.f64 (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)) |
(*.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))) (-.f64 (*.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))) x))) (fma.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)) x)) (/.f64 #s(literal 1 binary64) (fma.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)))) (-.f64 (*.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 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (*.f64 t (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 t t) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) y)))) (tanh.f64 (/.f64 x y))))) |
(/.f64 (*.f64 (fma.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)))) (-.f64 (*.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))) x))) (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 y (*.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))) (*.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))))) (-.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)))))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x (+.f64 t x)) (*.f64 (+.f64 t x) (*.f64 x (*.f64 x (+.f64 t x)))) (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 t t)))) (*.f64 (-.f64 t x) (fma.f64 t t (*.f64 x (+.f64 t x))))) (fma.f64 (*.f64 x (+.f64 t x)) (*.f64 (+.f64 t x) (*.f64 x (*.f64 x (+.f64 t x)))) (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 t t))))) (fma.f64 t t (*.f64 x (+.f64 t x)))) 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)))))) |
| Outputs |
|---|
(fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x) |
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) |
(fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x) |
5 calls:
| 38.0ms | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 32.0ms | z |
| 27.0ms | y |
| 16.0ms | x |
| 16.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.8% | 3 | y |
| 81.1% | 5 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 81.0% | 3 | x |
| 75.6% | 3 | z |
| 80.0% | 3 | t |
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 t) (* x (+ t x))) (- t x)) (+ (* t t) (* x (+ t x))))) x) (*.f64 z #s(approx (- t x) (neg.f64 x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (/ (* (+ (* t t) (* x (+ t x))) (- t x)) (+ (* t t) (* x (+ t x))))) x) (*.f64 z (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (neg.f64 x)) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (/ (* (+ (* t t) (* x (+ t x))) (- t x)) (+ (* t t) (* x (+ t x)))) (neg.f64 x)) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (/ (* (+ (* t t) (* x (+ t x))) (- t x)) (+ (* t t) (* x (+ t x))))) x) (fma.f64 z t (*.f64 z (neg.f64 x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (+.f64 (/.f64 x z) (-.f64 t x))))) |
(fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y)))) y x) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) y) z x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))))) |
(fma.f64 (*.f64 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 t) (* x (+ t x))) (- t x)) (+ (* t t) (* x (+ t x))))) x) (/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 t x))))) |
(fma.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))) |
(+.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 #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))))) (fma.f64 z (/.f64 #s(approx (* (+ (* t t) (* x (+ t x))) (- t x)) (*.f64 x (*.f64 x (neg.f64 x)))) #s(approx (+ (* t t) (* x (+ t x))) (*.f64 t 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 x (*.f64 x (neg.f64 x)))) #s(approx (+ (* t t) (* x (+ t x))) (*.f64 t (+.f64 x 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 x (*.f64 x (neg.f64 x)))) #s(approx (+ (* t t) (* x (+ t x))) (*.f64 x (+.f64 x t)))) 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))))))) |
#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))) (fma.f64 t t (*.f64 x (+.f64 t x)))) x)) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 #s(approx (+ (* z (+ x (neg t))) (/ (+ (* (- (+ (* x (* (* x x) -1/2)) (* 1/3 (* t (* t t)))) (* x (* (* x x) -1/6))) (/ z y)) (* z 0)) y)) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 z (*.f64 t (*.f64 t t)))) (*.f64 y y)))))) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 #s(approx (+ (* z (+ x (neg t))) (/ (+ (* (- (+ (* x (* (* x x) -1/2)) (* 1/3 (* t (* t t)))) (* x (* (* x x) -1/6))) (/ z y)) (* z 0)) y)) (/.f64 (*.f64 z (*.f64 #s(literal -1/3 binary64) (*.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 y) (*.f64 y x)) (*.f64 y y))))) |
#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 x (*.f64 x (neg.f64 x)))) (fma.f64 t t (*.f64 x (+.f64 t x)))) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (*.f64 #s(approx (+ (* t t) (* x (+ t x))) (*.f64 t (+.f64 x t))) (-.f64 t x)) (fma.f64 t t (*.f64 x (+.f64 t x)))) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (*.f64 #s(approx (+ (* t t) (* x (+ t x))) (*.f64 x (+.f64 x t))) (-.f64 t x)) (fma.f64 t t (*.f64 x (+.f64 t x)))) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (fma.f64 t t (*.f64 x (+.f64 t x)))) x)) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (fma.f64 t (*.f64 t t) (*.f64 x (*.f64 x x)))) (fma.f64 x (-.f64 x t) (*.f64 t t))) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) #s(approx (- (* t t) (* x (+ t x))) (*.f64 t t))) (-.f64 t x)) (*.f64 (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)) |
(/.f64 (*.f64 (fma.f64 (*.f64 y 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 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 (-.f64 x t) (*.f64 (-.f64 t x) (-.f64 t x))) (*.f64 x (*.f64 x x))) (fma.f64 x (-.f64 x (*.f64 z (-.f64 t x))) (*.f64 z (*.f64 (-.f64 x t) (*.f64 z (-.f64 x t))))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))) (-.f64 t x)) (*.f64 (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))))) (*.f64 (fma.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) x) (-.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y)))))))) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 z (+.f64 x (neg.f64 t)) (/.f64 (fma.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 t (*.f64 t t)))) (*.f64 x (*.f64 (*.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 (-.f64 (*.f64 (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x)))) (-.f64 (*.f64 z (-.f64 t x)) x)) (*.f64 (-.f64 (*.f64 z (-.f64 t x)) x) (*.f64 x x))) (*.f64 (-.f64 (*.f64 z (-.f64 t x)) x) (-.f64 (*.f64 z (-.f64 t x)) 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 (*.f64 y 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 (-.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) (*.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))))))) |
#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 (*.f64 x (*.f64 x x)) (+.f64 (-.f64 (-.f64 (+.f64 (/.f64 t x) (/.f64 (*.f64 t t) (*.f64 x x))) (/.f64 (*.f64 t t) (*.f64 x x))) (/.f64 t x)) #s(literal -1 binary64)))) (fma.f64 t t (*.f64 x (+.f64 t x)))) x)) |
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) |
| Outputs |
|---|
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) y) z x) |
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (neg.f64 x)) x)) |
3 calls:
| 22.0ms | t |
| 17.0ms | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 13.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.4% | 3 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 75.0% | 3 | t |
| 77.9% | 3 | x |
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 t) (* x (+ t x))) (- t x)) (+ (* t t) (* x (+ t x))))) x) (*.f64 z #s(approx (- t x) (neg.f64 x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (/ (* (+ (* t t) (* x (+ t x))) (- t x)) (+ (* t t) (* x (+ t x))))) x) (*.f64 z (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (neg.f64 x)) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (/ (* (+ (* t t) (* x (+ t x))) (- t x)) (+ (* t t) (* x (+ t x)))) (neg.f64 x)) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (/ (* (+ (* t t) (* x (+ t x))) (- t x)) (+ (* t t) (* x (+ t x))))) x) (fma.f64 z t (*.f64 z (neg.f64 x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (+.f64 (/.f64 x z) (-.f64 t x))))) |
(fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y)))) y x) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) y) z x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))))) |
(fma.f64 (*.f64 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 t) (* x (+ t x))) (- t x)) (+ (* t t) (* x (+ t x))))) x) (/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 t x))))) |
(fma.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))) |
(+.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 #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))))) (fma.f64 z (/.f64 #s(approx (* (+ (* t t) (* x (+ t x))) (- t x)) (*.f64 x (*.f64 x (neg.f64 x)))) #s(approx (+ (* t t) (* x (+ t x))) (*.f64 t 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 x (*.f64 x (neg.f64 x)))) #s(approx (+ (* t t) (* x (+ t x))) (*.f64 t (+.f64 x 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 x (*.f64 x (neg.f64 x)))) #s(approx (+ (* t t) (* x (+ t x))) (*.f64 x (+.f64 x t)))) 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))))))) |
#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))) (fma.f64 t t (*.f64 x (+.f64 t x)))) x)) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 #s(approx (+ (* z (+ x (neg t))) (/ (+ (* (- (+ (* x (* (* x x) -1/2)) (* 1/3 (* t (* t t)))) (* x (* (* x x) -1/6))) (/ z y)) (* z 0)) y)) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 z (*.f64 t (*.f64 t t)))) (*.f64 y y)))))) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 #s(approx (+ (* z (+ x (neg t))) (/ (+ (* (- (+ (* x (* (* x x) -1/2)) (* 1/3 (* t (* t t)))) (* x (* (* x x) -1/6))) (/ z y)) (* z 0)) y)) (/.f64 (*.f64 z (*.f64 #s(literal -1/3 binary64) (*.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 y) (*.f64 y x)) (*.f64 y y))))) |
#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 x (*.f64 x (neg.f64 x)))) (fma.f64 t t (*.f64 x (+.f64 t x)))) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (*.f64 #s(approx (+ (* t t) (* x (+ t x))) (*.f64 t (+.f64 x t))) (-.f64 t x)) (fma.f64 t t (*.f64 x (+.f64 t x)))) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (*.f64 #s(approx (+ (* t t) (* x (+ t x))) (*.f64 x (+.f64 x t))) (-.f64 t x)) (fma.f64 t t (*.f64 x (+.f64 t x)))) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (fma.f64 t t (*.f64 x (+.f64 t x)))) x)) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (fma.f64 t (*.f64 t t) (*.f64 x (*.f64 x x)))) (fma.f64 x (-.f64 x t) (*.f64 t t))) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) #s(approx (- (* t t) (* x (+ t x))) (*.f64 t t))) (-.f64 t x)) (*.f64 (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)) |
(/.f64 (*.f64 (fma.f64 (*.f64 y 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 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 (-.f64 x t) (*.f64 (-.f64 t x) (-.f64 t x))) (*.f64 x (*.f64 x x))) (fma.f64 x (-.f64 x (*.f64 z (-.f64 t x))) (*.f64 z (*.f64 (-.f64 x t) (*.f64 z (-.f64 x t))))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))) (-.f64 t x)) (*.f64 (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))))) (*.f64 (fma.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) x) (-.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y)))))))) |
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 z (+.f64 x (neg.f64 t)) (/.f64 (fma.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 t (*.f64 t t)))) (*.f64 x (*.f64 (*.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 (-.f64 (*.f64 (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x)))) (-.f64 (*.f64 z (-.f64 t x)) x)) (*.f64 (-.f64 (*.f64 z (-.f64 t x)) x) (*.f64 x x))) (*.f64 (-.f64 (*.f64 z (-.f64 t x)) x) (-.f64 (*.f64 z (-.f64 t x)) 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 (*.f64 y 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 (-.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) (*.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))))))) |
#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 (*.f64 x (*.f64 x x)) (+.f64 (-.f64 (-.f64 (+.f64 (/.f64 t x) (/.f64 (*.f64 t t) (*.f64 x x))) (/.f64 (*.f64 t t) (*.f64 x x))) (/.f64 t x)) #s(literal -1 binary64)))) (fma.f64 t t (*.f64 x (+.f64 t x)))) x)) |
| Outputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (neg.f64 x)) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)) |
5 calls:
| 23.0ms | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 15.0ms | x |
| 14.0ms | z |
| 14.0ms | y |
| 13.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.3% | 1 | t |
| 69.2% | 4 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 69.1% | 3 | z |
| 69.4% | 2 | y |
| 69.4% | 3 | x |
Compiled 39 to 28 computations (28.2% saved)
| Inputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (/ (* (+ (* t t) (* x (+ t x))) (- t x)) (+ (* t t) (* x (+ t x))))) x) (*.f64 z #s(approx (- t x) (neg.f64 x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (/ (* (+ (* t t) (* x (+ t x))) (- t x)) (+ (* t t) (* x (+ t x))))) x) (*.f64 z (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (neg.f64 x)) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (/ (* (+ (* t t) (* x (+ t x))) (- t x)) (+ (* t t) (* x (+ t x)))) (neg.f64 x)) x)) |
| Outputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (neg.f64 x)) x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))) |
3 calls:
| 3.0ms | y |
| 3.0ms | x |
| 3.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.8% | 3 | z |
| 62.0% | 3 | x |
| 58.8% | 2 | y |
Compiled 15 to 12 computations (20% saved)
| Inputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (/ (* (+ (* t t) (* x (+ t x))) (- t x)) (+ (* t t) (* x (+ t x))))) x) (*.f64 z #s(approx (- t x) (neg.f64 x))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (/ (* (+ (* t t) (* x (+ t x))) (- t x)) (+ (* t t) (* x (+ 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 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 2.0ms | y |
| 2.0ms | x |
| 2.0ms | t |
| 2.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 26.8% | 1 | y |
| 26.8% | 1 | x |
| 26.8% | 1 | t |
| 26.8% | 1 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 26.8% | 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 t) (* x (+ t x))) (- t x)) (+ (* t t) (* x (+ 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 t) (* x (+ t x))) (- t x)) (+ (* t t) (* x (+ 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:
| 5.0ms | y |
| 2.0ms | t |
| 2.0ms | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 2.0ms | x |
| 2.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 17.7% | 1 | z |
| 19.7% | 2 | x |
| 22.9% | 3 | t |
| 19.2% | 2 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 19.8% | 2 | 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))) |
4 calls:
| 6.0ms | x |
| 1.0ms | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 1.0ms | t |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 17.7% | 1 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 17.7% | 1 | x |
| 17.7% | 1 | y |
| 17.7% | 1 | t |
Compiled 34 to 24 computations (29.4% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 21.0ms | 8.443425281100274e+49 | 2.055440257103229e+72 |
| 17.0ms | -5.5557573729126935e+109 | -3.2590805556447224e+103 |
| 21.0ms | 304× | 0 | valid |
| 4.0ms | 16× | 1 | valid |
Compiled 782 to 459 computations (41.3% saved)
ival-div: 4.0ms (24.1% of total)ival-mult: 4.0ms (24.1% of total)ival-tanh: 4.0ms (24.1% of total)ival-sub: 1.0ms (6% of total)ival-add: 1.0ms (6% 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 |
|---|---|---|
| 10.0ms | 4.3047811785827263e+39 | 3.273038158352925e+40 |
| 16.0ms | -5.5557573729126935e+109 | -3.2590805556447224e+103 |
| 14.0ms | 200× | 0 | valid |
| 1.0ms | 8× | 1 | valid |
Compiled 514 to 298 computations (42% saved)
ival-div: 3.0ms (30.3% of total)ival-mult: 3.0ms (30.3% of total)ival-tanh: 2.0ms (20.2% of total)ival-sub: 1.0ms (10.1% of total)ival-add: 1.0ms (10.1% 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 |
|---|---|---|
| 10.0ms | 5.93788119110878e-122 | 1.8116725303793744e-121 |
| 6.0ms | 76× | 0 | valid |
| 1.0ms | 4× | 1 | valid |
Compiled 142 to 89 computations (37.3% saved)
ival-mult: 2.0ms (41.5% of total)ival-div: 1.0ms (20.7% of total)ival-tanh: 1.0ms (20.7% of total)adjust: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-sub: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 2.6335531348128023e+42 | 2.178248010107238e+51 |
| 10.0ms | -9.240013202417625e-31 | -1.8052291257118342e-31 |
| 17.0ms | 240× | 0 | valid |
Compiled 382 to 229 computations (40.1% saved)
ival-mult: 4.0ms (35.4% of total)ival-div: 3.0ms (26.6% of total)ival-tanh: 2.0ms (17.7% of total)ival-sub: 1.0ms (8.9% of total)ival-add: 1.0ms (8.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 4.623946312219144e-176 | 8.472418211167029e-166 |
| 10.0ms | -1.0484034427159739e-67 | -1.0186506958648408e-68 |
| 20.0ms | 251× | 0 | valid |
| 1.0ms | 5× | 1 | valid |
Compiled 374 to 227 computations (39.3% saved)
ival-div: 3.0ms (25.9% of total)ival-mult: 3.0ms (25.9% of total)ival-tanh: 2.0ms (17.3% of total)ival-add: 1.0ms (8.6% of total)ival-sub: 1.0ms (8.6% 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 |
| 20× | *-commutative_binary64 |
| 14× | +-commutative_binary64 |
| 14× | sub-neg_binary64 |
| 6× | neg-sub0_binary64 |
| 6× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 86 | 463 |
| 1 | 103 | 463 |
| 2 | 113 | 463 |
| 3 | 118 | 463 |
| 4 | 120 | 463 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) |
(if (<=.f64 x #s(literal -1000000000000000033998991713002824594943974719712898047713430714837875271723200833292741616380733445921308672 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 5500000000000000044187222685454036887472676656159656224462209024 binary64)) (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) (fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x))) |
(if (<=.f64 x #s(literal -9999999999999999818508707188399807864717650964328171247958398369899072554380053298205803424393137676263358464 binary64)) (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) y) z x) (if (<=.f64 x #s(literal 31999999999999998070693323891301714755584 binary64)) (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (neg.f64 x)) x)))) |
(if (<=.f64 y #s(literal 8373182103885391/46517678354918840995156723704832290198633047083988355858015372747560914439257467092876227245680868195888801382801035387746214504231337984 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 -321130730858841/356811923176489970264571492362373784095686656 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 2700000000000000074768672757603215012265984 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 -1760543683579567/30354201441027016733116592294117482916287606860189680019559568902170379456331382784 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 900810035817237/33992831540273094316133645219357992149093959534530043084764424844825827831094543535306400144974674282808917087119776064982181077609773263322209278641061590524405201333465166018030600192 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (/ (* (+ (* t t) (* x (+ t x))) (- t x)) (+ (* t t) (* x (+ t x))))) x) (*.f64 z #s(approx (- t x) (neg.f64 x))))) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) |
| Outputs |
|---|
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) |
(fma.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) z x) |
(if (<=.f64 x #s(literal -1000000000000000033998991713002824594943974719712898047713430714837875271723200833292741616380733445921308672 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 5500000000000000044187222685454036887472676656159656224462209024 binary64)) (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) (fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x))) |
(if (<=.f64 x #s(literal -1000000000000000033998991713002824594943974719712898047713430714837875271723200833292741616380733445921308672 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 5500000000000000044187222685454036887472676656159656224462209024 binary64)) (fma.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x 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 -9999999999999999818508707188399807864717650964328171247958398369899072554380053298205803424393137676263358464 binary64)) (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) y) z x) (if (<=.f64 x #s(literal 31999999999999998070693323891301714755584 binary64)) (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (neg.f64 x)) x)))) |
(if (<=.f64 x #s(literal -9999999999999999818508707188399807864717650964328171247958398369899072554380053298205803424393137676263358464 binary64)) (fma.f64 (*.f64 y #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y)))) z x) (if (<=.f64 x #s(literal 31999999999999998070693323891301714755584 binary64)) (fma.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) z x) #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 8373182103885391/46517678354918840995156723704832290198633047083988355858015372747560914439257467092876227245680868195888801382801035387746214504231337984 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 -321130730858841/356811923176489970264571492362373784095686656 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 2700000000000000074768672757603215012265984 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 -1760543683579567/30354201441027016733116592294117482916287606860189680019559568902170379456331382784 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 900810035817237/33992831540273094316133645219357992149093959534530043084764424844825827831094543535306400144974674282808917087119776064982181077609773263322209278641061590524405201333465166018030600192 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (/ (* (+ (* t t) (* x (+ t x))) (- t x)) (+ (* t t) (* x (+ t x))))) x) (*.f64 z #s(approx (- t x) (neg.f64 x))))) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))))) |
(if (<=.f64 t #s(literal -1760543683579567/30354201441027016733116592294117482916287606860189680019559568902170379456331382784 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 t z))) (if (<=.f64 t #s(literal 900810035817237/33992831540273094316133645219357992149093959534530043084764424844825827831094543535306400144974674282808917087119776064982181077609773263322209278641061590524405201333465166018030600192 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (/ (* (+ (* t t) (* x (+ t x))) (- t x)) (+ (* t t) (* x (+ t x))))) x) (*.f64 z #s(approx (- t x) (neg.f64 x))))) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 t z))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 t z))) |
| 15 688× | lower-fma.f64 |
| 15 688× | lower-fma.f32 |
| 14 056× | lower-fma.f64 |
| 14 056× | lower-fma.f32 |
| 13 670× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 904 | 28200 |
| 1 | 3124 | 24315 |
| 0 | 9582 | 23640 |
| 0 | 792 | 37786 |
| 1 | 2663 | 28516 |
| 0 | 9107 | 27742 |
| 0 | 45 | 351 |
| 0 | 70 | 326 |
| 1 | 289 | 282 |
| 2 | 2587 | 282 |
| 0 | 9081 | 278 |
| 0 | 495 | 10076 |
| 1 | 1678 | 7475 |
| 2 | 6945 | 7471 |
| 0 | 8227 | 7285 |
| 0 | 12 | 48 |
| 0 | 20 | 48 |
| 1 | 99 | 48 |
| 2 | 871 | 48 |
| 0 | 8208 | 47 |
| 0 | 776 | 34466 |
| 1 | 2604 | 25837 |
| 0 | 9430 | 25183 |
| 0 | 53 | 367 |
| 0 | 92 | 344 |
| 1 | 376 | 325 |
| 2 | 3208 | 325 |
| 0 | 8661 | 313 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 556 to 257 computations (53.8% saved)
(abs y)
Compiled 566 to 220 computations (61.1% saved)
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