
Time bar (total: 9.2s)
| 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)
| 764.0ms | 8 004× | 0 | valid |
| 43.0ms | 252× | 1 | valid |
ival-mult: 220.0ms (39.1% of total)ival-div: 129.0ms (22.9% of total)ival-tanh: 116.0ms (20.6% of total)ival-add: 41.0ms (7.3% of total)ival-sub: 36.0ms (6.4% of total)adjust: 10.0ms (1.8% of total)ival-true: 6.0ms (1.1% of total)ival-assert: 3.0ms (0.5% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 25 | 0 | - | 0 | - | (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
| 2 | 0 | - | 0 | - | (-.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 y z) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
*.f64 | (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) | n*o | 15 | 0 |
*.f64 | (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) | o*u | 4 | 0 |
| ↳ | (*.f64 y z) | overflow | 31 | |
| ↳ | (/.f64 t y) | underflow | 29 | |
| ↳ | (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) | underflow | 52 | |
| ↳ | (tanh.f64 (/.f64 x y)) | underflow | 25 | |
| ↳ | (/.f64 x y) | underflow | 25 | |
| ↳ | (tanh.f64 (/.f64 t y)) | underflow | 29 | |
*.f64 | (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) | n*u | 3 | 0 |
-.f64 | (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) | cancellation | 1 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 23 | 3 |
| - | 0 | 230 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 23 | 0 | 3 |
| - | 0 | 0 | 230 |
| number | freq |
|---|---|
| 0 | 233 |
| 1 | 23 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 37.0ms | 426× | 0 | valid |
| 16.0ms | 62× | 2 | valid |
| 4.0ms | 20× | 1 | valid |
| 1.0ms | 4× | 3 | valid |
Compiled 135 to 40 computations (70.4% saved)
ival-div: 10.0ms (28.5% of total)ival-mult: 8.0ms (22.8% of total)ival-tanh: 6.0ms (17.1% of total)adjust: 5.0ms (14.2% of total)ival-sub: 3.0ms (8.5% of total)ival-add: 3.0ms (8.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 76 | 228 |
| 1 | 392 | 223 |
| 2 | 1066 | 222 |
| 3 | 2734 | 222 |
| 4 | 7935 | 222 |
| 0 | 12 | 15 |
| 0 | 20 | 15 |
| 1 | 63 | 15 |
| 2 | 167 | 15 |
| 3 | 392 | 15 |
| 4 | 1315 | 15 |
| 5 | 7128 | 15 |
| 0 | 8506 | 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 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) x) |
Compiled 15 to 12 computations (20% saved)
Compiled 0 to 4 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 90.5% | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
Compiled 15 to 12 computations (20% 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 | 1 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 58 |
| 0 | 20 | 58 |
| 1 | 63 | 58 |
| 2 | 167 | 58 |
| 3 | 392 | 58 |
| 4 | 1315 | 58 |
| 5 | 7128 | 58 |
| 0 | 8506 | 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 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) x) |
x |
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)) |
(*.f64 y z) |
(*.f64 z y) |
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 | 0.01171875 | (tanh.f64 (/.f64 x y)) | |
| accuracy | 0.01171875 | (tanh.f64 (/.f64 t y)) | |
| accuracy | 0.30344149762103617 | (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) | |
| accuracy | 6.022564903220896 | (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
| 18.0ms | 213× | 0 | valid |
| 8.0ms | 31× | 2 | valid |
| 2.0ms | 10× | 1 | valid |
| 1.0ms | 2× | 3 | valid |
Compiled 60 to 14 computations (76.7% saved)
ival-div: 5.0ms (28.8% of total)ival-mult: 4.0ms (23.1% of total)ival-tanh: 3.0ms (17.3% of total)adjust: 2.0ms (11.5% of total)ival-sub: 1.0ms (5.8% of total)ival-add: 1.0ms (5.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
(*.f64 y z) |
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
(tanh.f64 (/.f64 t y)) |
(tanh.f64 (/.f64 x y)) |
| Outputs |
|---|
(* 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)))))))))) |
(+ (* -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)))))))))) |
(- (/ (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))))))) |
(/ x y) |
(* x (+ (* -1/3 (/ (pow x 2) (pow y 3))) (/ 1 y))) |
(* x (+ (* (pow x 2) (- (* 2/15 (/ (pow x 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) |
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -17/315 (/ (pow x 2) (pow y 7))) (* 2/15 (/ 1 (pow y 5))))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) |
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))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t 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)))))) |
(* z (- t 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 (- 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)))) |
(+ (* 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))))) |
(/ (- 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) |
(/ 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) |
(/ (+ x (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) y) |
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(/ (- (+ x (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))))) (+ (* -1/2 (/ (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (pow y 3))) (+ (* 1/4 (/ (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2))) (pow y 3))) (* 1/2 (/ (pow x 3) (pow y 2)))))) y) |
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12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 17.0ms | z | @ | inf | ((+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (tanh (/ x y))) |
| 10.0ms | z | @ | 0 | ((+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (tanh (/ x y))) |
| 7.0ms | y | @ | inf | ((+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (tanh (/ x y))) |
| 7.0ms | y | @ | -inf | ((+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (tanh (/ x y))) |
| 5.0ms | y | @ | 0 | ((+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (tanh (/ x y))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 495 | 4459 |
| 1 | 1796 | 2917 |
| 0 | 9485 | 2762 |
| 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))))))))) |
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(/ x y) |
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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))) |
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(* z (- t x)) |
(+ (* z (- t x)) (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y)) |
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(/ (- 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) |
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(/ 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) |
(/ (+ x (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) y) |
(/ (- (+ x (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)))) (* 1/2 (/ (pow x 3) (pow y 2)))) y) |
(/ (- (+ x (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))))) (+ (* -1/2 (/ (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (pow y 3))) (+ (* 1/4 (/ (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2))) (pow y 3))) (* 1/2 (/ (pow x 3) (pow y 2)))))) y) |
(+ x (* -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))) |
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(* -1 (* z (- (* -1 t) (* -1 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)) |
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(* -1 (/ (- (* -1 t) (* -1 x)) y)) |
(* -1 (/ (- (+ (* -1 t) (* -1 (/ (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) (* -1 x)) y)) |
(* -1 (/ (- (+ (* -1 t) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (pow x 3)) (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))))) (+ (* -1/2 (pow t 3)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))) y)) (* 1/2 (+ (* -1 (pow t 2)) (pow t 2)))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) (* -1 x)) y)) |
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(* -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)) |
(* -1 (/ (+ (* -1 x) (* -1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (- (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) (* -1/2 (pow x 3))) y)) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (+ (* 1/12 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))))) (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (* 1/2 (* x (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))) y)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))) (* -1/2 (pow x 3))) y)) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) y)) |
(* 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))) |
(* -1 (* z (+ (* -1 (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (* -1 (/ x z))))) |
(+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) |
(+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y)) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(- (+ (* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(- (+ (* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(* t (+ (* -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))) |
| 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 z y) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) |
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(/.f64 (fma.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2 binary64) (fma.f64 (*.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal -1/2 binary64)) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/12 binary64) (pow.f64 t #s(literal 4 binary64)) (*.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal -1/6 binary64)))))) #s(literal 1/2 binary64) #s(literal 0 binary64)) (*.f64 (fma.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal -1/2 binary64) (fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2 binary64)) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/6 binary64)))))) #s(literal 1/2 binary64))) y) #s(literal -1 binary64) (-.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64) (*.f64 (pow.f64 t #s(literal 3 binary64)) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))) y) #s(literal -1 binary64) #s(literal 0 binary64)) y) t) #s(literal -1 binary64) x) (neg.f64 y)) |
(* -1 (/ (+ (* -1 t) (* -1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y))) y)) |
(/.f64 (fma.f64 (neg.f64 t) #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) 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)) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 t #s(literal 3 binary64)) #s(literal 1/3 binary64)) y) #s(literal -1 binary64) #s(literal 0 binary64)) y) t)) 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 (fma.f64 (pow.f64 t #s(literal 3 binary64)) #s(literal 1/3 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal -1/2 binary64)) (*.f64 (fma.f64 #s(literal -1/12 binary64) (pow.f64 t #s(literal 4 binary64)) (*.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal -1/6 binary64))) #s(literal 1/2 binary64))) (fma.f64 (fma.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal -1/2 binary64) (*.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) #s(literal 0 binary64))) (neg.f64 y))) (neg.f64 y)) #s(literal 0 binary64)) y)) (neg.f64 y)) |
(* -1 (/ (+ (* -1 x) (* -1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) y)) |
(/.f64 (-.f64 x (/.f64 #s(literal 0 binary64) y)) y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (- (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) (* -1/2 (pow x 3))) y)) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) y)) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)) y) #s(literal -1 binary64) #s(literal 0 binary64)) y) x)) y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (+ (* 1/12 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))))) (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (* 1/2 (* x (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))) y)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))) (* -1/2 (pow x 3))) y)) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) y)) |
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2 binary64)) (*.f64 (fma.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/6 binary64))) #s(literal 1/2 binary64))) (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) #s(literal 0 binary64))) (neg.f64 y))) (neg.f64 y)) #s(literal -1 binary64) #s(literal 0 binary64)) y) x) (neg.f64 y)) |
(* z (+ (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (/ x z))) |
(*.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) y (/.f64 x z)) z) |
(* -1 (* z (+ (* -1 (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (* -1 (/ x z))))) |
(*.f64 (neg.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) y (/.f64 x z))) (neg.f64 z)) |
(+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (*.f64 z y) x) |
(+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (*.f64 z y) (fma.f64 t z 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 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (*.f64 z y) (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 z (*.f64 y y))) t) t z) t 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 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (*.f64 z y) (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) y) (/.f64 z y) (*.f64 (*.f64 (*.f64 t t) #s(literal 2/15 binary64)) (/.f64 z (pow.f64 y #s(literal 4 binary64))))) (*.f64 t t) z) t x)) |
(* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (*.f64 z 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))))))))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (*.f64 z y) (*.f64 t z)) |
(+ (* 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 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (*.f64 z y) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 z (*.f64 y y))) t) t z) t)) |
(+ (* 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 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (*.f64 z y) (fma.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) y) (/.f64 z y) (*.f64 (*.f64 (*.f64 t t) #s(literal 2/15 binary64)) (/.f64 z (pow.f64 y #s(literal 4 binary64))))) (pow.f64 t #s(literal 3 binary64)) (*.f64 t z))) |
(- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y)) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))) (/.f64 t y)) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) |
(- (+ (* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(-.f64 (fma.f64 (fma.f64 (*.f64 t (/.f64 t (pow.f64 y #s(literal 3 binary64)))) #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) y)) t (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) |
(- (+ (* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(-.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 2/15 binary64) (pow.f64 y #s(literal 5 binary64))) t) t (/.f64 #s(literal -1/3 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 t t) (/.f64 #s(literal 1 binary64) y)) t (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) |
(* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y))) |
(*.f64 (fma.f64 (*.f64 t (/.f64 t (pow.f64 y #s(literal 3 binary64)))) #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) y)) t) |
(* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 2/15 binary64) (pow.f64 y #s(literal 5 binary64))) t) t (/.f64 #s(literal -1/3 binary64) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 t #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) y) t)) |
(* t (+ (* (pow t 2) (- (* (pow t 2) (+ (* -17/315 (/ (pow t 2) (pow y 7))) (* 2/15 (/ 1 (pow y 5))))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 t (/.f64 t (pow.f64 y #s(literal 7 binary64)))) #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (pow.f64 y #s(literal 5 binary64)))) (*.f64 t t) (/.f64 #s(literal -1/3 binary64) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 t #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) y) t)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 48 |
| 0 | 20 | 48 |
| 1 | 93 | 48 |
| 2 | 780 | 48 |
| 0 | 8262 | 47 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
(*.f64 y z) |
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
(tanh.f64 (/.f64 t y)) |
(tanh.f64 (/.f64 x y)) |
| Outputs |
|---|
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(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 x y)) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 x y)))) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 x y))) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 x y))) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (/.f64 x y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y))) (exp.f64 (/.f64 (neg.f64 x) y)))) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y))) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)))) (neg.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))) (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 x y))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 x y)))) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y))) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) #s(literal 1 binary64))) |
(/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 x y)))) |
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 x y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) |
(-.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 x y)) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 x y)))) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 x y))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (exp.f64 (/.f64 x y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (/.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y))))) |
Compiled 12 528 to 1 415 computations (88.7% saved)
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 227 | 9 | 236 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 228 | 9 | 237 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 96.4% | (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) |
| 46.7% | (+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y))) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 x y)))) (*.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y)) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))) (*.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 x y))))))) | |
| ▶ | 64.9% | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y))) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) #s(literal 1 binary64)))))) |
| 63.2% | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 x y))))))) | |
| ▶ | 40.9% | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (/.f64 x y)) (cosh.f64 (/.f64 x y))))))) |
| 60.6% | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) | |
| ▶ | 61.6% | (+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 42.9% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) | |
| ▶ | 57.5% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) |
Compiled 456 to 296 computations (35.1% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 y z) | |
| cost-diff | 0 | (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y))) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) #s(literal 1 binary64))))) | |
| cost-diff | 1 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y))) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) #s(literal 1 binary64)))))) | |
| cost-diff | 13 | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y))) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (/.f64 x y)) (cosh.f64 (/.f64 x y)))))) | |
| cost-diff | 1 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (/.f64 x y)) (cosh.f64 (/.f64 x y))))))) | |
| cost-diff | 2 | (*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (/.f64 x y)) (cosh.f64 (/.f64 x y)))) | |
| cost-diff | 5 | (/.f64 (sinh.f64 (/.f64 x y)) (cosh.f64 (/.f64 x y))) | |
| cost-diff | 0 | (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) | |
| cost-diff | 0 | (*.f64 y z) | |
| cost-diff | 0 | (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) | |
| cost-diff | 1 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))) | |
| cost-diff | 0 | (-.f64 t x) | |
| cost-diff | 0 | (fma.f64 (-.f64 t x) z x) | |
| cost-diff | 0 | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z 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))) z) | |
| cost-diff | 0 | (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 400 |
| 0 | 74 | 322 |
| 1 | 158 | 322 |
| 2 | 364 | 322 |
| 3 | 1059 | 320 |
| 4 | 4212 | 312 |
| 0 | 8219 | 311 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) |
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) |
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
(tanh.f64 (/.f64 t y)) |
(/.f64 t y) |
t |
y |
(tanh.f64 (/.f64 x y)) |
(/.f64 x y) |
x |
z |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) |
(fma.f64 (-.f64 t x) z x) |
(-.f64 t x) |
t |
x |
z |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
x |
(*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
(*.f64 y z) |
y |
z |
(-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
#s(approx (tanh (/ t y)) (/.f64 t y)) |
(/.f64 t y) |
t |
(tanh.f64 (/.f64 x y)) |
(/.f64 x y) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (/.f64 x y)) (cosh.f64 (/.f64 x y))))))) |
x |
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (/.f64 x y)) (cosh.f64 (/.f64 x y)))))) |
(*.f64 y z) |
y |
z |
(-.f64 (tanh.f64 (/.f64 t y)) (*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (/.f64 x y)) (cosh.f64 (/.f64 x y))))) |
(tanh.f64 (/.f64 t y)) |
(/.f64 t y) |
t |
(*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (/.f64 x y)) (cosh.f64 (/.f64 x y)))) |
#s(literal 1 binary64) |
(/.f64 (sinh.f64 (/.f64 x y)) (cosh.f64 (/.f64 x y))) |
(sinh.f64 (/.f64 x y)) |
(/.f64 x y) |
(cosh.f64 (/.f64 x y)) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y))) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) #s(literal 1 binary64)))))) |
x |
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y))) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) #s(literal 1 binary64))))) |
(*.f64 y z) |
y |
z |
(-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y))) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) #s(literal 1 binary64)))) |
(tanh.f64 (/.f64 t y)) |
(/.f64 t y) |
t |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y))) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y))) |
#s(literal 1 binary64) |
(pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) |
(exp.f64 #s(literal -2 binary64)) |
#s(literal -2 binary64) |
(/.f64 x y) |
(+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) #s(literal 1 binary64)) |
| Outputs |
|---|
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) |
(fma.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x) |
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) |
(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
(tanh.f64 (/.f64 t y)) |
(/.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 (-.f64 t x) z x)) |
(fma.f64 (-.f64 t x) z x) |
(-.f64 t x) |
t |
x |
z |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) x) |
x |
(*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
(*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y)) |
(*.f64 y z) |
(*.f64 z y) |
y |
z |
(-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
#s(approx (tanh (/ t y)) (/.f64 t y)) |
(/.f64 t y) |
t |
(tanh.f64 (/.f64 x y)) |
(/.f64 x y) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (/.f64 x y)) (cosh.f64 (/.f64 x y))))))) |
(fma.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x) |
x |
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (/.f64 x y)) (cosh.f64 (/.f64 x y)))))) |
(*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
(*.f64 y z) |
(*.f64 z y) |
y |
z |
(-.f64 (tanh.f64 (/.f64 t y)) (*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (/.f64 x y)) (cosh.f64 (/.f64 x y))))) |
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
(tanh.f64 (/.f64 t y)) |
(/.f64 t y) |
t |
(*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (/.f64 x y)) (cosh.f64 (/.f64 x y)))) |
(tanh.f64 (/.f64 x y)) |
#s(literal 1 binary64) |
(/.f64 (sinh.f64 (/.f64 x y)) (cosh.f64 (/.f64 x y))) |
(tanh.f64 (/.f64 x y)) |
(sinh.f64 (/.f64 x y)) |
(/.f64 x y) |
(cosh.f64 (/.f64 x y)) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y))) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) #s(literal 1 binary64)))))) |
(fma.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x) |
x |
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y))) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) #s(literal 1 binary64))))) |
(*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
(*.f64 y z) |
(*.f64 z y) |
y |
z |
(-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y))) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) #s(literal 1 binary64)))) |
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
(tanh.f64 (/.f64 t y)) |
(/.f64 t y) |
t |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y))) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) #s(literal 1 binary64))) |
(tanh.f64 (/.f64 x y)) |
(-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y))) |
(-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) (/.f64 #s(literal -2 binary64) y))) |
#s(literal 1 binary64) |
(pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) |
(pow.f64 (exp.f64 x) (/.f64 #s(literal -2 binary64) y)) |
(exp.f64 #s(literal -2 binary64)) |
#s(literal -2 binary64) |
(/.f64 x y) |
(+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) #s(literal 1 binary64)) |
(+.f64 (pow.f64 (exp.f64 x) (/.f64 #s(literal -2 binary64) y)) #s(literal 1 binary64)) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.045469706782118535 | (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) | |
| accuracy | 0.30344149762103617 | (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y))) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) #s(literal 1 binary64)))) | |
| accuracy | 5.272569031308454 | (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y))) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) #s(literal 1 binary64))))) | |
| accuracy | 21.957488818035486 | (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y))) | |
| accuracy | 0.03250753162065376 | (cosh.f64 (/.f64 x y)) | |
| accuracy | 0.2500027510508252 | (/.f64 (sinh.f64 (/.f64 x y)) (cosh.f64 (/.f64 x y))) | |
| accuracy | 0.30344149762103617 | (-.f64 (tanh.f64 (/.f64 t y)) (*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (/.f64 x y)) (cosh.f64 (/.f64 x y))))) | |
| accuracy | 5.272569031308454 | (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (/.f64 x y)) (cosh.f64 (/.f64 x y)))))) | |
| accuracy | 0.01171875 | (tanh.f64 (/.f64 x y)) | |
| accuracy | 0.30344149762103617 | (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) | |
| accuracy | 5.272569031308454 | (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) | |
| accuracy | 10.875764423429452 | #s(approx (tanh (/ t y)) (/.f64 t y)) | |
| accuracy | 0.0 | (fma.f64 (-.f64 t x) z x) | |
| accuracy | 0.0 | (-.f64 t x) | |
| accuracy | 9.385483569497364 | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) | |
| accuracy | 0.01171875 | (tanh.f64 (/.f64 x y)) | |
| accuracy | 0.30344149762103617 | (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) | |
| accuracy | 1.0358409417728516 | (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) | |
| accuracy | 1.0461057483550953 | (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) |
| 131.0ms | 109× | 1 | valid |
| 63.0ms | 15× | 2 | valid |
| 36.0ms | 129× | 0 | exit |
| 1.0ms | 3× | 0 | valid |
Compiled 381 to 37 computations (90.3% saved)
adjust: 75.0ms (38.4% of total)ival-exp: 24.0ms (12.3% of total)ival-sinh: 23.0ms (11.8% of total)ival-pow: 18.0ms (9.2% of total)ival-mult: 17.0ms (8.7% of total)ival-div: 11.0ms (5.6% of total)ival-add: 10.0ms (5.1% of total)ival-sub: 8.0ms (4.1% of total)ival-tanh: 4.0ms (2% of total)ival-cosh: 4.0ms (2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) |
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) |
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
(tanh.f64 (/.f64 t y)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) |
(fma.f64 (-.f64 t x) z x) |
(-.f64 t x) |
(+.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 y z) |
(-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
(/.f64 (sinh.f64 (/.f64 x y)) (cosh.f64 (/.f64 x y))) |
(*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (/.f64 x y)) (cosh.f64 (/.f64 x y)))) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (/.f64 x y)) (cosh.f64 (/.f64 x y))))))) |
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (/.f64 x y)) (cosh.f64 (/.f64 x y)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y))) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) #s(literal 1 binary64))) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y))) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) #s(literal 1 binary64)))))) |
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y))) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) #s(literal 1 binary64))))) |
(tanh.f64 (/.f64 x y)) |
#s(approx (tanh (/ t y)) (/.f64 t y)) |
(-.f64 (tanh.f64 (/.f64 t y)) (*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (/.f64 x y)) (cosh.f64 (/.f64 x y))))) |
(cosh.f64 (/.f64 x y)) |
(-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y))) |
(-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y))) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) #s(literal 1 binary64)))) |
(pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x 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))))))))) |
(+ (* 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)))))))))) |
(* 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 y)) (* 1/3 (/ (* (pow x 2) z) (pow y 3))))) (* 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 y)) (* (pow x 2) (+ (* -2/15 (/ (* (pow x 2) z) (pow y 5))) (* 1/3 (/ z (pow y 3))))))) (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t 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))))))) |
(* t z) |
(+ (* t z) (* x (+ 1 (* -1 z)))) |
t |
(+ t (* -1 x)) |
(+ (* -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)))))))))) |
(/ x y) |
(* x (+ (* -1/3 (/ (pow x 2) (pow y 3))) (/ 1 y))) |
(* x (+ (* (pow x 2) (- (* 2/15 (/ (pow x 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) |
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -17/315 (/ (pow x 2) (pow y 7))) (* 2/15 (/ 1 (pow y 5))))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) |
1 |
(+ 1 (* 1/2 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* (pow x 2) (+ (* 1/24 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2)))))) |
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (/ (pow x 2) (pow y 6))) (* 1/24 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2)))))) |
(* 2 (/ x y)) |
(* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) |
(* x (+ (* x (- (* 4/3 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) |
(* x (+ (* x (- (* x (+ (* -2/3 (/ x (pow y 4))) (* 4/3 (/ 1 (pow y 3))))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) |
(+ 1 (* -2 (/ x y))) |
(+ 1 (* x (- (* 2 (/ x (pow y 2))) (* 2 (/ 1 y))))) |
(+ 1 (* x (- (* x (+ (* -4/3 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 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))) |
(* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(* x (+ 1 (* -1 z))) |
(* x (+ 1 (+ (* -1 z) (/ (* t z) x)))) |
(* -1 x) |
(* x (- (/ t 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))))))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/ (- 1 (exp (* -2 (/ x y)))) (+ 1 (exp (* -2 (/ x y))))) |
(* x (+ 1 (/ (* y (* z (- (+ (/ (exp (* -2 (/ x y))) (+ 1 (exp (* -2 (/ x y))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (+ 1 (exp (* -2 (/ x y))))))))) x))) |
(* y (* z (- (+ (/ (exp (* -2 (/ x y))) (+ 1 (exp (* -2 (/ x y))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (+ 1 (exp (* -2 (/ x y))))))))) |
(* 1/2 (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(- 1 (exp (* -2 (/ x y)))) |
(- (+ (/ (exp (* -2 (/ x y))) (+ 1 (exp (* -2 (/ x y))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (+ 1 (exp (* -2 (/ x y))))))) |
(exp (* -2 (/ x y))) |
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
(* -1 (* x (- z 1))) |
(* -1 (* x (- (+ z (* -1 (/ (* t z) x))) 1))) |
(* -1 (* x (+ 1 (* -1 (/ t x))))) |
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ (exp (* -2 (/ x y))) (+ 1 (exp (* -2 (/ x y))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (+ 1 (exp (* -2 (/ x y))))))))) x)) 1))) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(* y z) |
(+ x (* y (* z (- (+ (/ (exp (* -2 (/ x y))) (+ 1 (exp (* -2 (/ x y))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (+ 1 (exp (* -2 (/ 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)))))) |
(/ (* z (- t x)) y) |
(/ (+ (* z (- t x)) (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y)) y) |
(/ (+ (* 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)))) y) |
(/ (+ (* 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))))) y) |
(/ (- 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) |
(/ 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) |
(* z (- t 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 (- 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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12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 54.0ms | z | @ | 0 | ((+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) z) y) x) (* (- (tanh (/ t y)) (tanh (/ x y))) z) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (- t x) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (- (tanh (/ t y)) (tanh (/ x y))) (/ (sinh (/ x y)) (cosh (/ x y))) (* 1 (/ (sinh (/ x y)) (cosh (/ x y)))) (+ x (* (* y z) (- (tanh (/ t y)) (* 1 (/ (sinh (/ x y)) (cosh (/ x y))))))) (* (* y z) (- (tanh (/ t y)) (* 1 (/ (sinh (/ x y)) (cosh (/ x y)))))) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1)) (+ x (* (* y z) (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))))) (* (* y z) (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1)))) (tanh (/ x y)) (tanh (/ t y)) (- (tanh (/ t y)) (* 1 (/ (sinh (/ x y)) (cosh (/ x y))))) (cosh (/ x y)) (- 1 (pow (exp -2) (/ x y))) (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))) (pow (exp -2) (/ x y))) |
| 22.0ms | x | @ | -inf | ((+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) z) y) x) (* (- (tanh (/ t y)) (tanh (/ x y))) z) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (- t x) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (- (tanh (/ t y)) (tanh (/ x y))) (/ (sinh (/ x y)) (cosh (/ x y))) (* 1 (/ (sinh (/ x y)) (cosh (/ x y)))) (+ x (* (* y z) (- (tanh (/ t y)) (* 1 (/ (sinh (/ x y)) (cosh (/ x y))))))) (* (* y z) (- (tanh (/ t y)) (* 1 (/ (sinh (/ x y)) (cosh (/ x y)))))) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1)) (+ x (* (* y z) (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))))) (* (* y z) (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1)))) (tanh (/ x y)) (tanh (/ t y)) (- (tanh (/ t y)) (* 1 (/ (sinh (/ x y)) (cosh (/ x y))))) (cosh (/ x y)) (- 1 (pow (exp -2) (/ x y))) (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))) (pow (exp -2) (/ x y))) |
| 16.0ms | y | @ | -inf | ((+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) z) y) x) (* (- (tanh (/ t y)) (tanh (/ x y))) z) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (- t x) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (- (tanh (/ t y)) (tanh (/ x y))) (/ (sinh (/ x y)) (cosh (/ x y))) (* 1 (/ (sinh (/ x y)) (cosh (/ x y)))) (+ x (* (* y z) (- (tanh (/ t y)) (* 1 (/ (sinh (/ x y)) (cosh (/ x y))))))) (* (* y z) (- (tanh (/ t y)) (* 1 (/ (sinh (/ x y)) (cosh (/ x y)))))) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1)) (+ x (* (* y z) (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))))) (* (* y z) (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1)))) (tanh (/ x y)) (tanh (/ t y)) (- (tanh (/ t y)) (* 1 (/ (sinh (/ x y)) (cosh (/ x y))))) (cosh (/ x y)) (- 1 (pow (exp -2) (/ x y))) (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))) (pow (exp -2) (/ x y))) |
| 16.0ms | y | @ | inf | ((+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) z) y) x) (* (- (tanh (/ t y)) (tanh (/ x y))) z) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (- t x) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (- (tanh (/ t y)) (tanh (/ x y))) (/ (sinh (/ x y)) (cosh (/ x y))) (* 1 (/ (sinh (/ x y)) (cosh (/ x y)))) (+ x (* (* y z) (- (tanh (/ t y)) (* 1 (/ (sinh (/ x y)) (cosh (/ x y))))))) (* (* y z) (- (tanh (/ t y)) (* 1 (/ (sinh (/ x y)) (cosh (/ x y)))))) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1)) (+ x (* (* y z) (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))))) (* (* y z) (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1)))) (tanh (/ x y)) (tanh (/ t y)) (- (tanh (/ t y)) (* 1 (/ (sinh (/ x y)) (cosh (/ x y))))) (cosh (/ x y)) (- 1 (pow (exp -2) (/ x y))) (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))) (pow (exp -2) (/ x y))) |
| 16.0ms | t | @ | inf | ((+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) z) y) x) (* (- (tanh (/ t y)) (tanh (/ x y))) z) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (- t x) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (- (tanh (/ t y)) (tanh (/ x y))) (/ (sinh (/ x y)) (cosh (/ x y))) (* 1 (/ (sinh (/ x y)) (cosh (/ x y)))) (+ x (* (* y z) (- (tanh (/ t y)) (* 1 (/ (sinh (/ x y)) (cosh (/ x y))))))) (* (* y z) (- (tanh (/ t y)) (* 1 (/ (sinh (/ x y)) (cosh (/ x y)))))) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1)) (+ x (* (* y z) (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))))) (* (* y z) (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1)))) (tanh (/ x y)) (tanh (/ t y)) (- (tanh (/ t y)) (* 1 (/ (sinh (/ x y)) (cosh (/ x y))))) (cosh (/ x y)) (- 1 (pow (exp -2) (/ x y))) (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))) (pow (exp -2) (/ x y))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1297 | 13496 |
| 1 | 4664 | 12809 |
| 0 | 9017 | 12099 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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t |
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(* -1 (/ (+ (* -1 x) (* -1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (- (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) (* -1/2 (pow x 3))) y)) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (+ (* 1/12 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))))) (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (* 1/2 (* x (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))) y)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))) (* -1/2 (pow x 3))) y)) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) y)) |
(* -1 (/ (- (* -1 t) (* 1/2 (- (* -1 x) x))) y)) |
(* -1 (/ (- (+ (* -1 t) (* -1 (/ (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) y))) (* 1/2 (- (* -1 x) x))) y)) |
(* -1 (/ (- (+ (* -1 t) (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/4 (* (pow x 2) (- (* -1 x) x))) (* 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 (- (* -1/6 (pow x 3)) (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2))))))))) y)) (* 1/2 (+ (* -1 (pow t 2)) (pow t 2)))) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) y))) (* 1/2 (- (* -1 x) x))) y)) |
(* -1 (/ (- (+ (* -1 t) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/4 (* (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (- (* -1 x) x))) (+ (* 1/4 (* (pow x 2) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 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 (- (* 1/24 (pow x 4)) (+ (* -1/2 (* (pow x 2) (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/24 (pow x 4)) (+ (* 1/6 (pow x 4)) (* x (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2)))))))))))))) y)) (+ (* 1/4 (* (pow x 2) (- (* -1 x) x))) (* 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 (- (* -1/6 (pow x 3)) (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2))))))))) y)) (* 1/2 (+ (* -1 (pow t 2)) (pow t 2)))) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) y))) (* 1/2 (- (* -1 x) x))) y)) |
(+ 1 (+ (* 1/2 (/ (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (pow y 3))) (* 1/2 (/ (pow x 2) (pow y 2))))) |
(+ 1 (+ (* -1 (/ (+ (* -1/2 (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) (* 1/2 (/ (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (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))) (pow y 3))) (* 1/2 (/ (pow x 2) (pow y 2))))) |
(* -1 (/ (- (* 2 (/ (pow x 2) y)) (* 2 x)) y)) |
(* -1 (/ (- (* -1 (/ (- (* 4/3 (/ (pow x 3) y)) (* 2 (pow x 2))) y)) (* 2 x)) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2/3 (/ (pow x 4) y)) (* 4/3 (pow x 3))) y)) (* 2 (pow x 2))) y)) (* 2 x)) y)) |
(* -1 (/ (+ x (* -1 t)) y)) |
(* -1 (/ (+ x (+ (* -1 t) (* -1 (/ (- (+ (* -1/2 (pow x 2)) (+ (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (pow x 2))) (* x (- x (* 1/2 x)))) y)))) y)) |
(* -1 (/ (+ x (+ (* -1 t) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -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))))))) (* 2/3 (pow x 3))))) (+ (* -1/2 (pow t 3)) (+ (* x (- (pow x 2) (+ (* 1/2 (pow x 2)) (* x (- x (* 1/2 x)))))) (* (pow x 2) (- x (* 1/2 x)))))) y)) (+ (* -1/2 (pow x 2)) (+ (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (pow x 2)))) (* x (- x (* 1/2 x)))) y)))) y)) |
(* -1 (/ (+ x (+ (* -1 t) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1 (/ (- (+ (* -1 (* x (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3)))))) (+ (* -1 (* (pow x 2) (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/3 (pow x 4)) (+ (* 1/3 (pow x 4)) (* 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))))))) (+ (* 2/3 (* (pow x 3) (- x (* 1/2 x)))) (+ (* x (- (* 2/3 (pow x 3)) (+ (* 1/3 (pow x 3)) (+ (* x (- (pow x 2) (+ (* 1/2 (pow x 2)) (* x (- x (* 1/2 x)))))) (* (pow x 2) (- x (* 1/2 x))))))) (* (pow x 2) (- (pow x 2) (+ (* 1/2 (pow x 2)) (* x (- x (* 1/2 x))))))))))) 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))))))) (* 2/3 (pow x 3)))))) (+ (* -1/2 (pow t 3)) (+ (* x (- (pow x 2) (+ (* 1/2 (pow x 2)) (* x (- x (* 1/2 x)))))) (* (pow x 2) (- x (* 1/2 x)))))) y)) (+ (* -1/2 (pow x 2)) (+ (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (pow x 2)))) (* x (- x (* 1/2 x)))) y)))) y)) |
(+ 1 (* -1 (/ (+ (* -2 (/ (pow x 2) y)) (* 2 x)) y))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (pow x 3) y)) (* 2 (pow x 2))) y)) (* 2 x)) y))) |
(* z (+ (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (/ x z))) |
(* z (- (+ t (/ x z)) x)) |
(* z (+ (* y (- (+ (/ (exp (* -2 (/ x y))) (+ 1 (exp (* -2 (/ x y))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (+ 1 (exp (* -2 (/ x y)))))))) (/ x z))) |
(* -1 (* z (+ (* -1 (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 (- t x)) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 (* y (- (+ (/ (exp (* -2 (/ x y))) (+ 1 (exp (* -2 (/ x y))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (+ 1 (exp (* -2 (/ x y))))))))) (* -1 (/ x z))))) |
(+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x 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)) |
(+ (* t (+ (* -1/3 (/ (* (pow t 2) z) (pow y 3))) (/ z y))) (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) |
(+ (* t (+ (* (pow t 2) (+ (* -1/3 (/ z (pow y 3))) (* 2/15 (/ (* (pow t 2) z) (pow y 5))))) (/ z y))) (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) |
(- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y)) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(- (+ (* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(- (+ (* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y))) |
(* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) |
(* t (+ (* (pow t 2) (- (* (pow t 2) (+ (* -17/315 (/ (pow t 2) (pow y 7))) (* 2/15 (/ 1 (pow y 5))))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) |
(+ x (* -1 (* x z))) |
(+ x (+ (* -1 (* x z)) (* t z))) |
(- t x) |
(* 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))))))))) |
(+ x (* y (* z (- (/ (exp (* -2 (/ x y))) (+ 1 (exp (* -2 (/ x y))))) (/ 1 (+ 1 (exp (* -2 (/ x y))))))))) |
(+ x (+ (* t z) (* y (* z (- (/ (exp (* -2 (/ x y))) (+ 1 (exp (* -2 (/ x y))))) (/ 1 (+ 1 (exp (* -2 (/ x y)))))))))) |
(+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ (exp (* -2 (/ x y))) (+ 1 (exp (* -2 (/ x y))))) (/ 1 (+ 1 (exp (* -2 (/ 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 (- (/ (exp (* -2 (/ x y))) (+ 1 (exp (* -2 (/ x y))))) (/ 1 (+ 1 (exp (* -2 (/ x y)))))))))) |
(* y (* z (- (/ (exp (* -2 (/ x y))) (+ 1 (exp (* -2 (/ x y))))) (/ 1 (+ 1 (exp (* -2 (/ x y)))))))) |
(+ (* t z) (* y (* z (- (/ (exp (* -2 (/ x y))) (+ 1 (exp (* -2 (/ x y))))) (/ 1 (+ 1 (exp (* -2 (/ x y))))))))) |
(+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ (exp (* -2 (/ x y))) (+ 1 (exp (* -2 (/ x y))))) (/ 1 (+ 1 (exp (* -2 (/ x y))))))))) |
(+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ (exp (* -2 (/ x y))) (+ 1 (exp (* -2 (/ x y))))) (/ 1 (+ 1 (exp (* -2 (/ x y))))))))) |
(- (/ (exp (* -2 (/ x y))) (+ 1 (exp (* -2 (/ x y))))) (/ 1 (+ 1 (exp (* -2 (/ x y)))))) |
(- (+ (/ t y) (/ (exp (* -2 (/ x y))) (+ 1 (exp (* -2 (/ x y)))))) (/ 1 (+ 1 (exp (* -2 (/ x y)))))) |
(- (+ (* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y))) (/ (exp (* -2 (/ x y))) (+ 1 (exp (* -2 (/ x y)))))) (/ 1 (+ 1 (exp (* -2 (/ x y)))))) |
(- (+ (* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) (/ (exp (* -2 (/ x y))) (+ 1 (exp (* -2 (/ x y)))))) (/ 1 (+ 1 (exp (* -2 (/ x y)))))) |
(* t (+ z (+ (* -1 (/ (* x z) t)) (/ x t)))) |
(* t (+ 1 (* -1 (/ x t)))) |
(* -1 (* t (+ (* -1 z) (* -1 (/ (+ x (* -1 (* x z))) t))))) |
(* -1 (* t (- (/ x t) 1))) |
| 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 z y) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 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)))))))))) |
(fma.f64 (*.f64 z y) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (*.f64 (fma.f64 #s(literal -1 binary64) z #s(literal 1 binary64)) 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 z y) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (*.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 (*.f64 (*.f64 x x) z) y) (neg.f64 z)) #s(literal 1 binary64)) x)) |
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(+.f64 (fma.f64 (*.f64 z y) (-.f64 (/.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (*.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)))))))))) |
(+.f64 (fma.f64 (*.f64 z y) (-.f64 (/.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (*.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) y) (/.f64 (*.f64 (*.f64 t t) z) y) z) t)) 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)))))))))) |
(+.f64 (fma.f64 (*.f64 z y) (-.f64 (/.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) y) (/.f64 z y) (/.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 t t) z)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 t t) z) t)) x) |
(* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(*.f64 (-.f64 (/.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) z) |
(+ (* 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)) |
(fma.f64 (-.f64 (/.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) z (*.f64 t (/.f64 z y))) |
(+ (* t (+ (* -1/3 (/ (* (pow t 2) z) (pow y 3))) (/ z y))) (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) |
(fma.f64 (-.f64 (/.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) z (*.f64 (fma.f64 (*.f64 (*.f64 t t) (/.f64 z (pow.f64 y #s(literal 3 binary64)))) #s(literal -1/3 binary64) (/.f64 z y)) t)) |
(+ (* t (+ (* (pow t 2) (+ (* -1/3 (/ z (pow y 3))) (* 2/15 (/ (* (pow t 2) z) (pow y 5))))) (/ z y))) (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) |
(fma.f64 (-.f64 (/.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) z (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 t t) (/.f64 z (pow.f64 y #s(literal 5 binary64)))) #s(literal 2/15 binary64) (*.f64 #s(literal -1/3 binary64) (/.f64 z (pow.f64 y #s(literal 3 binary64))))) (*.f64 t t) (/.f64 z y)) t)) |
(- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(-.f64 (/.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y)) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))) (/.f64 t y)) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) |
(- (+ (* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(-.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 t t) (pow.f64 y #s(literal 3 binary64))) #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) y)) t (/.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) |
(- (+ (* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(-.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 t t)) (pow.f64 y #s(literal 5 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 t t) (/.f64 #s(literal 1 binary64) y)) t (/.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) |
(* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y))) |
(*.f64 (fma.f64 (/.f64 (*.f64 t t) (pow.f64 y #s(literal 3 binary64))) #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) y)) t) |
(* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) |
(*.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 t t)) (pow.f64 y #s(literal 5 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 t t) (/.f64 #s(literal 1 binary64) y)) t) |
(* t (+ (* (pow t 2) (- (* (pow t 2) (+ (* -17/315 (/ (pow t 2) (pow y 7))) (* 2/15 (/ 1 (pow y 5))))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) |
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 (*.f64 t t) (pow.f64 y #s(literal 7 binary64))) #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (pow.f64 y #s(literal 5 binary64)))) (*.f64 t t)) (/.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 t t) (/.f64 #s(literal 1 binary64) y)) t) |
(+ x (* -1 (* x z))) |
(fma.f64 (neg.f64 x) z x) |
(+ x (+ (* -1 (* x z)) (* t z))) |
(fma.f64 (fma.f64 #s(literal -1 binary64) x t) z x) |
(- t x) |
(-.f64 t x) |
(* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) |
(*.f64 (*.f64 z y) (-.f64 (/.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 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))))))))) |
(fma.f64 (*.f64 z y) (-.f64 (/.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (*.f64 z t)) |
(+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(fma.f64 (*.f64 z y) (-.f64 (/.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (*.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) y) (/.f64 (*.f64 (*.f64 t t) z) y) z) t)) |
(+ (* 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 z y) (-.f64 (/.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) y) (/.f64 z y) (/.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 t t) z)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 t t) z) t)) |
(+ x (* y (* z (- (/ (exp (* -2 (/ x y))) (+ 1 (exp (* -2 (/ x y))))) (/ 1 (+ 1 (exp (* -2 (/ x y))))))))) |
(fma.f64 (*.f64 z y) (-.f64 (/.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) #s(literal 1 binary64)))) x) |
(+ x (+ (* t z) (* y (* z (- (/ (exp (* -2 (/ x y))) (+ 1 (exp (* -2 (/ x y))))) (/ 1 (+ 1 (exp (* -2 (/ x y)))))))))) |
(+.f64 (fma.f64 (*.f64 z y) (-.f64 (/.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) #s(literal 1 binary64)))) (*.f64 z t)) x) |
(+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ (exp (* -2 (/ x y))) (+ 1 (exp (* -2 (/ x y))))) (/ 1 (+ 1 (exp (* -2 (/ x y)))))))))) |
(+.f64 (fma.f64 (*.f64 z y) (-.f64 (/.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) #s(literal 1 binary64)))) (*.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) y) (/.f64 (*.f64 (*.f64 t t) z) y) z) t)) x) |
(+ x (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ (exp (* -2 (/ x y))) (+ 1 (exp (* -2 (/ x y))))) (/ 1 (+ 1 (exp (* -2 (/ x y)))))))))) |
(+.f64 (fma.f64 (*.f64 z y) (-.f64 (/.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) #s(literal 1 binary64)))) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) y) (/.f64 z y) (/.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 t t) z)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 t t) z) t)) x) |
(* y (* z (- (/ (exp (* -2 (/ x y))) (+ 1 (exp (* -2 (/ x y))))) (/ 1 (+ 1 (exp (* -2 (/ x y)))))))) |
(*.f64 (*.f64 z y) (-.f64 (/.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) #s(literal 1 binary64))))) |
(+ (* t z) (* y (* z (- (/ (exp (* -2 (/ x y))) (+ 1 (exp (* -2 (/ x y))))) (/ 1 (+ 1 (exp (* -2 (/ x y))))))))) |
(fma.f64 (*.f64 z y) (-.f64 (/.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) #s(literal 1 binary64)))) (*.f64 z t)) |
(+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ (exp (* -2 (/ x y))) (+ 1 (exp (* -2 (/ x y))))) (/ 1 (+ 1 (exp (* -2 (/ x y))))))))) |
(fma.f64 (*.f64 z y) (-.f64 (/.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) #s(literal 1 binary64)))) (*.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) y) (/.f64 (*.f64 (*.f64 t t) z) y) z) t)) |
(+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ (exp (* -2 (/ x y))) (+ 1 (exp (* -2 (/ x y))))) (/ 1 (+ 1 (exp (* -2 (/ x y))))))))) |
(fma.f64 (*.f64 z y) (-.f64 (/.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) #s(literal 1 binary64)))) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) y) (/.f64 z y) (/.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 t t) z)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 t t) z) t)) |
(- (/ (exp (* -2 (/ x y))) (+ 1 (exp (* -2 (/ x y))))) (/ 1 (+ 1 (exp (* -2 (/ x y)))))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) #s(literal 1 binary64)))) |
(- (+ (/ t y) (/ (exp (* -2 (/ x y))) (+ 1 (exp (* -2 (/ x y)))))) (/ 1 (+ 1 (exp (* -2 (/ x y)))))) |
(-.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) #s(literal 1 binary64))) (/.f64 t y)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) #s(literal 1 binary64)))) |
(- (+ (* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y))) (/ (exp (* -2 (/ x y))) (+ 1 (exp (* -2 (/ x y)))))) (/ 1 (+ 1 (exp (* -2 (/ x y)))))) |
(-.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 t t) (pow.f64 y #s(literal 3 binary64))) #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) y)) t (/.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) #s(literal 1 binary64)))) |
(- (+ (* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) (/ (exp (* -2 (/ x y))) (+ 1 (exp (* -2 (/ x y)))))) (/ 1 (+ 1 (exp (* -2 (/ x y)))))) |
(-.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 t t)) (pow.f64 y #s(literal 5 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 t t) (/.f64 #s(literal 1 binary64) y)) t (/.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) #s(literal 1 binary64)))) |
(* t (+ z (+ (* -1 (/ (* x z) t)) (/ x t)))) |
(*.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 x) z x) t) z) t) |
(* t (+ 1 (* -1 (/ x t)))) |
(*.f64 (fma.f64 (/.f64 x t) #s(literal -1 binary64) #s(literal 1 binary64)) t) |
(* -1 (* t (+ (* -1 z) (* -1 (/ (+ x (* -1 (* x z))) t))))) |
(*.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 x) z x) t) z)) (neg.f64 t)) |
(* -1 (* t (- (/ x t) 1))) |
(*.f64 (-.f64 (/.f64 x t) #s(literal 1 binary64)) (neg.f64 t)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 322 |
| 0 | 74 | 244 |
| 1 | 327 | 234 |
| 2 | 2407 | 234 |
| 0 | 8241 | 233 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) |
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) |
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
(tanh.f64 (/.f64 t y)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) |
(fma.f64 (-.f64 t x) z x) |
(-.f64 t x) |
(+.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 y z) |
(-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
(/.f64 (sinh.f64 (/.f64 x y)) (cosh.f64 (/.f64 x y))) |
(*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (/.f64 x y)) (cosh.f64 (/.f64 x y)))) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (/.f64 x y)) (cosh.f64 (/.f64 x y))))))) |
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (/.f64 x y)) (cosh.f64 (/.f64 x y)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y))) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) #s(literal 1 binary64))) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y))) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) #s(literal 1 binary64)))))) |
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y))) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) #s(literal 1 binary64))))) |
(tanh.f64 (/.f64 x y)) |
#s(approx (tanh (/ t y)) (/.f64 t y)) |
(-.f64 (tanh.f64 (/.f64 t y)) (*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (/.f64 x y)) (cosh.f64 (/.f64 x y))))) |
(cosh.f64 (/.f64 x y)) |
(-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y))) |
(-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y))) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) #s(literal 1 binary64)))) |
(pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) |
| Outputs |
|---|
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)))))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (-.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (-.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x) (*.f64 x x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (-.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (-.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x) (*.f64 x x))) (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (-.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x) (*.f64 x x))) (/.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (-.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x) (*.f64 x x)))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (-.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x) (*.f64 x x))) (/.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (-.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x) (*.f64 x x))))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (*.f64 (neg.f64 y) z)) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 (neg.f64 (*.f64 (neg.f64 y) z)) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (*.f64 (neg.f64 (*.f64 (neg.f64 y) z)) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (*.f64 x (*.f64 (neg.f64 (*.f64 (neg.f64 y) z)) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 y) z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (+.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (*.f64 x (*.f64 (*.f64 (neg.f64 y) z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (-.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x) (*.f64 x x))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 y) z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64))) (fma.f64 x x (+.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (*.f64 x (*.f64 (*.f64 (neg.f64 y) z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (-.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x) (*.f64 x x)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64))) (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (-.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x) (*.f64 x x))) |
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) |
(fma.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) z x) |
(fma.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x) |
(fma.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y x) |
(fma.f64 z (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) x) |
(fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x) |
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) x) |
(fma.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (+.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (*.f64 x (*.f64 (*.f64 (neg.f64 y) z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))))) (/.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 y) z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64)) (fma.f64 x x (+.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (*.f64 x (*.f64 (*.f64 (neg.f64 y) z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) (/.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))) |
(-.f64 x (*.f64 (neg.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) y)) |
(-.f64 x (*.f64 (neg.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (*.f64 z y))) |
(-.f64 x (*.f64 (neg.f64 y) (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) |
(-.f64 x (*.f64 (*.f64 (neg.f64 y) z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64))))) |
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#s(approx (tanh (/ t y)) (/.f64 t y)) |
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(/.f64 (neg.f64 (-.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (/.f64 t y))) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) #s(literal 1 binary64))) (*.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 t y)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)))))) (neg.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 t y)) #s(literal 1 binary64)) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) #s(literal 1 binary64))))) |
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(pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal 2 binary64))) |
(pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))) (cosh.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))) (-.f64 (*.f64 (sinh.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))) (sinh.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)))) (*.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))) (sinh.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))))))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 (neg.f64 x) y))) |
(sqrt.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) (/.f64 x y))) |
(fabs.f64 (neg.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)))) |
(fabs.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y))) |
(exp.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 (/.f64 x y) #s(literal 2 binary64))))) |
(exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (/.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -4 binary64))) (/.f64 (/.f64 x y) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 x y) #s(literal 2 binary64))))) |
(exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))) |
(+.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y))) (sinh.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)))) |
Compiled 38 645 to 3 880 computations (90% saved)
19 alts after pruning (17 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 685 | 14 | 699 |
| Fresh | 1 | 3 | 4 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 689 | 19 | 708 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 96.4% | (fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) z (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) z)) y x) |
| 61.6% | (fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) x) | |
| ✓ | 96.4% | (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) |
| 61.0% | (fma.f64 (*.f64 (+.f64 (-.f64 (tanh.f64 (/.f64 t y)) (pow.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) #s(literal 1 binary64)))) z) y x) | |
| 47.4% | (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) z) y x) | |
| 58.1% | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) (-.f64 (/.f64 (*.f64 x x) y) x)) y) #s(literal -1 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))))) | |
| ▶ | 58.4% | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64))) #s(literal 1 binary64)))))) |
| 63.2% | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 x y))))))) | |
| 60.6% | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) | |
| 28.0% | (+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (/.f64 x y)) (cosh.f64 (/.f64 x y))))))) | |
| ▶ | 31.0% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))) (/.f64 (-.f64 (+.f64 (fma.f64 #s(literal -1 binary64) x t) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) (fma.f64 (*.f64 #s(literal 0 binary64) (*.f64 t t)) #s(literal 1/2 binary64) (*.f64 x x))) y)) (*.f64 (neg.f64 x) (/.f64 (*.f64 #s(literal -1/2 binary64) x) y))) y)))) |
| 42.9% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) | |
| 41.9% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (+.f64 x t)) z x)) | |
| ✓ | 57.5% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) |
| 51.1% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (*.f64 (-.f64 (/.f64 x t) #s(literal 1 binary64)) (neg.f64 t))) z x)) | |
| 56.4% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (*.f64 (-.f64 (/.f64 t x) #s(literal 1 binary64)) x)) z x)) | |
| 54.4% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (neg.f64 x)) z x)) | |
| ▶ | 51.5% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (+.f64 (fma.f64 t (/.f64 z x) (neg.f64 z)) #s(literal 1 binary64)) x))) |
| ▶ | 13.4% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 z t))) |
Compiled 1 036 to 690 computations (33.4% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64))) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (*.f64 y z) | |
| cost-diff | 0 | (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64))) #s(literal 1 binary64))))) | |
| cost-diff | 1 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64))) #s(literal 1 binary64)))))) | |
| cost-diff | 3 | (fma.f64 (*.f64 #s(literal 0 binary64) (*.f64 t t)) #s(literal 1/2 binary64) (*.f64 x x)) | |
| cost-diff | 3 | (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) (fma.f64 (*.f64 #s(literal 0 binary64) (*.f64 t t)) #s(literal 1/2 binary64) (*.f64 x x))) | |
| cost-diff | 4 | (*.f64 #s(literal 0 binary64) (*.f64 t t)) | |
| cost-diff | 14 | (-.f64 (+.f64 (fma.f64 #s(literal -1 binary64) x t) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) (fma.f64 (*.f64 #s(literal 0 binary64) (*.f64 t t)) #s(literal 1/2 binary64) (*.f64 x x))) y)) (*.f64 (neg.f64 x) (/.f64 (*.f64 #s(literal -1/2 binary64) x) y))) | |
| cost-diff | 0 | (+.f64 (fma.f64 t (/.f64 z x) (neg.f64 z)) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* (- t x) z) x) (*.f64 (+.f64 (fma.f64 t (/.f64 z x) (neg.f64 z)) #s(literal 1 binary64)) x)) | |
| cost-diff | 0 | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (+.f64 (fma.f64 t (/.f64 z x) (neg.f64 z)) #s(literal 1 binary64)) x))) | |
| cost-diff | 1 | (*.f64 (+.f64 (fma.f64 t (/.f64 z x) (neg.f64 z)) #s(literal 1 binary64)) x) | |
| cost-diff | 0 | (*.f64 z t) | |
| cost-diff | 0 | #s(approx (+ (* (- t x) z) x) (*.f64 z t)) | |
| cost-diff | 0 | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 z t))) | |
| cost-diff | 0 | (/.f64 t y) | |
| cost-diff | 0 | (tanh.f64 (/.f64 t y)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) z (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) z)) y x) | |
| cost-diff | 2 | (fma.f64 (tanh.f64 (/.f64 t y)) z (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 73 | 732 |
| 0 | 122 | 657 |
| 1 | 267 | 591 |
| 2 | 718 | 559 |
| 3 | 2393 | 503 |
| 0 | 8037 | 492 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) z (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) z)) y x) |
(fma.f64 (tanh.f64 (/.f64 t y)) z (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) z)) |
(tanh.f64 (/.f64 t y)) |
(/.f64 t y) |
t |
y |
z |
(*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) z) |
(neg.f64 (tanh.f64 (/.f64 x y))) |
(tanh.f64 (/.f64 x y)) |
(/.f64 x y) |
x |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 z t))) |
#s(approx (+ (* (- t x) z) x) (*.f64 z t)) |
(*.f64 z t) |
z |
t |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (+.f64 (fma.f64 t (/.f64 z x) (neg.f64 z)) #s(literal 1 binary64)) x))) |
#s(approx (+ (* (- t x) z) x) (*.f64 (+.f64 (fma.f64 t (/.f64 z x) (neg.f64 z)) #s(literal 1 binary64)) x)) |
(*.f64 (+.f64 (fma.f64 t (/.f64 z x) (neg.f64 z)) #s(literal 1 binary64)) x) |
(+.f64 (fma.f64 t (/.f64 z x) (neg.f64 z)) #s(literal 1 binary64)) |
(fma.f64 t (/.f64 z x) (neg.f64 z)) |
t |
(/.f64 z x) |
z |
x |
(neg.f64 z) |
#s(literal 1 binary64) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))) (/.f64 (-.f64 (+.f64 (fma.f64 #s(literal -1 binary64) x t) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) (fma.f64 (*.f64 #s(literal 0 binary64) (*.f64 t t)) #s(literal 1/2 binary64) (*.f64 x x))) y)) (*.f64 (neg.f64 x) (/.f64 (*.f64 #s(literal -1/2 binary64) x) y))) y)))) |
x |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))) (/.f64 (-.f64 (+.f64 (fma.f64 #s(literal -1 binary64) x t) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) (fma.f64 (*.f64 #s(literal 0 binary64) (*.f64 t t)) #s(literal 1/2 binary64) (*.f64 x x))) y)) (*.f64 (neg.f64 x) (/.f64 (*.f64 #s(literal -1/2 binary64) x) y))) y))) |
(*.f64 y z) |
y |
z |
#s(approx (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))) (/.f64 (-.f64 (+.f64 (fma.f64 #s(literal -1 binary64) x t) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) (fma.f64 (*.f64 #s(literal 0 binary64) (*.f64 t t)) #s(literal 1/2 binary64) (*.f64 x x))) y)) (*.f64 (neg.f64 x) (/.f64 (*.f64 #s(literal -1/2 binary64) x) y))) y)) |
(/.f64 (-.f64 (+.f64 (fma.f64 #s(literal -1 binary64) x t) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) (fma.f64 (*.f64 #s(literal 0 binary64) (*.f64 t t)) #s(literal 1/2 binary64) (*.f64 x x))) y)) (*.f64 (neg.f64 x) (/.f64 (*.f64 #s(literal -1/2 binary64) x) y))) y) |
(-.f64 (+.f64 (fma.f64 #s(literal -1 binary64) x t) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) (fma.f64 (*.f64 #s(literal 0 binary64) (*.f64 t t)) #s(literal 1/2 binary64) (*.f64 x x))) y)) (*.f64 (neg.f64 x) (/.f64 (*.f64 #s(literal -1/2 binary64) x) y))) |
(+.f64 (fma.f64 #s(literal -1 binary64) x t) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) (fma.f64 (*.f64 #s(literal 0 binary64) (*.f64 t t)) #s(literal 1/2 binary64) (*.f64 x x))) y)) |
(fma.f64 #s(literal -1 binary64) x t) |
#s(literal -1 binary64) |
t |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) (fma.f64 (*.f64 #s(literal 0 binary64) (*.f64 t t)) #s(literal 1/2 binary64) (*.f64 x x))) y) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) (fma.f64 (*.f64 #s(literal 0 binary64) (*.f64 t t)) #s(literal 1/2 binary64) (*.f64 x x))) |
#s(literal -1/2 binary64) |
(*.f64 x x) |
(fma.f64 (*.f64 #s(literal 0 binary64) (*.f64 t t)) #s(literal 1/2 binary64) (*.f64 x x)) |
(*.f64 #s(literal 0 binary64) (*.f64 t t)) |
#s(literal 0 binary64) |
(*.f64 t t) |
#s(literal 1/2 binary64) |
(*.f64 (neg.f64 x) (/.f64 (*.f64 #s(literal -1/2 binary64) x) y)) |
(neg.f64 x) |
(/.f64 (*.f64 #s(literal -1/2 binary64) x) y) |
(*.f64 #s(literal -1/2 binary64) x) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64))) #s(literal 1 binary64)))))) |
x |
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64))) #s(literal 1 binary64))))) |
(*.f64 y z) |
y |
z |
(-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64))) #s(literal 1 binary64)))) |
(tanh.f64 (/.f64 t y)) |
(/.f64 t y) |
t |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y))) |
#s(literal 1 binary64) |
(pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) |
(exp.f64 #s(literal -2 binary64)) |
#s(literal -2 binary64) |
(/.f64 x y) |
(+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (pow (exp -2) (/ x y)) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64))) |
(fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64)) |
| Outputs |
|---|
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) z (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) z)) y x) |
(fma.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x) |
(fma.f64 (tanh.f64 (/.f64 t y)) z (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) z)) |
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) |
(tanh.f64 (/.f64 t y)) |
(/.f64 t y) |
t |
y |
z |
(*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) z) |
(*.f64 (neg.f64 z) (tanh.f64 (/.f64 x y))) |
(neg.f64 (tanh.f64 (/.f64 x y))) |
(tanh.f64 (/.f64 x y)) |
(/.f64 x y) |
x |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 z t))) |
#s(approx (+ (* (- t x) z) x) (*.f64 z t)) |
(*.f64 z t) |
z |
t |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (+.f64 (fma.f64 t (/.f64 z x) (neg.f64 z)) #s(literal 1 binary64)) x))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 (fma.f64 (/.f64 z x) t (neg.f64 z)) x x))) |
#s(approx (+ (* (- t x) z) x) (*.f64 (+.f64 (fma.f64 t (/.f64 z x) (neg.f64 z)) #s(literal 1 binary64)) x)) |
#s(approx (+ (* (- t x) z) x) (fma.f64 (fma.f64 (/.f64 z x) t (neg.f64 z)) x x)) |
(*.f64 (+.f64 (fma.f64 t (/.f64 z x) (neg.f64 z)) #s(literal 1 binary64)) x) |
(fma.f64 (fma.f64 (/.f64 z x) t (neg.f64 z)) x x) |
(+.f64 (fma.f64 t (/.f64 z x) (neg.f64 z)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 z x) t (neg.f64 z))) |
(fma.f64 t (/.f64 z x) (neg.f64 z)) |
(fma.f64 (/.f64 z x) t (neg.f64 z)) |
t |
(/.f64 z x) |
z |
x |
(neg.f64 z) |
#s(literal 1 binary64) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))) (/.f64 (-.f64 (+.f64 (fma.f64 #s(literal -1 binary64) x t) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) (fma.f64 (*.f64 #s(literal 0 binary64) (*.f64 t t)) #s(literal 1/2 binary64) (*.f64 x x))) y)) (*.f64 (neg.f64 x) (/.f64 (*.f64 #s(literal -1/2 binary64) x) y))) y)))) |
(fma.f64 #s(approx (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))) (/.f64 (-.f64 t x) y)) (*.f64 z y) x) |
x |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))) (/.f64 (-.f64 (+.f64 (fma.f64 #s(literal -1 binary64) x t) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) (fma.f64 (*.f64 #s(literal 0 binary64) (*.f64 t t)) #s(literal 1/2 binary64) (*.f64 x x))) y)) (*.f64 (neg.f64 x) (/.f64 (*.f64 #s(literal -1/2 binary64) x) y))) y))) |
(*.f64 #s(approx (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))) (/.f64 (-.f64 t x) y)) (*.f64 z y)) |
(*.f64 y z) |
(*.f64 z y) |
y |
z |
#s(approx (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))) (/.f64 (-.f64 (+.f64 (fma.f64 #s(literal -1 binary64) x t) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) (fma.f64 (*.f64 #s(literal 0 binary64) (*.f64 t t)) #s(literal 1/2 binary64) (*.f64 x x))) y)) (*.f64 (neg.f64 x) (/.f64 (*.f64 #s(literal -1/2 binary64) x) y))) y)) |
#s(approx (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))) (/.f64 (-.f64 t x) y)) |
(/.f64 (-.f64 (+.f64 (fma.f64 #s(literal -1 binary64) x t) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) (fma.f64 (*.f64 #s(literal 0 binary64) (*.f64 t t)) #s(literal 1/2 binary64) (*.f64 x x))) y)) (*.f64 (neg.f64 x) (/.f64 (*.f64 #s(literal -1/2 binary64) x) y))) y) |
(/.f64 (-.f64 t x) y) |
(-.f64 (+.f64 (fma.f64 #s(literal -1 binary64) x t) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) (fma.f64 (*.f64 #s(literal 0 binary64) (*.f64 t t)) #s(literal 1/2 binary64) (*.f64 x x))) y)) (*.f64 (neg.f64 x) (/.f64 (*.f64 #s(literal -1/2 binary64) x) y))) |
(-.f64 t x) |
(+.f64 (fma.f64 #s(literal -1 binary64) x t) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) (fma.f64 (*.f64 #s(literal 0 binary64) (*.f64 t t)) #s(literal 1/2 binary64) (*.f64 x x))) y)) |
(fma.f64 x (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) t) |
(fma.f64 #s(literal -1 binary64) x t) |
(-.f64 t x) |
#s(literal -1 binary64) |
t |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) (fma.f64 (*.f64 #s(literal 0 binary64) (*.f64 t t)) #s(literal 1/2 binary64) (*.f64 x x))) y) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x x)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) (fma.f64 (*.f64 #s(literal 0 binary64) (*.f64 t t)) #s(literal 1/2 binary64) (*.f64 x x))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
#s(literal -1/2 binary64) |
(*.f64 x x) |
(fma.f64 (*.f64 #s(literal 0 binary64) (*.f64 t t)) #s(literal 1/2 binary64) (*.f64 x x)) |
(*.f64 x x) |
(*.f64 #s(literal 0 binary64) (*.f64 t t)) |
#s(literal 0 binary64) |
#s(literal 0 binary64) |
(*.f64 t t) |
#s(literal 1/2 binary64) |
(*.f64 (neg.f64 x) (/.f64 (*.f64 #s(literal -1/2 binary64) x) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x x)) |
(neg.f64 x) |
(/.f64 (*.f64 #s(literal -1/2 binary64) x) y) |
(*.f64 #s(literal -1/2 binary64) (/.f64 x y)) |
(*.f64 #s(literal -1/2 binary64) x) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64))) #s(literal 1 binary64)))))) |
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) (/.f64 #s(literal -2 binary64) y))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64))) #s(literal 1 binary64)))) (*.f64 z y) x) |
x |
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64))) #s(literal 1 binary64))))) |
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) (/.f64 #s(literal -2 binary64) y))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64))) #s(literal 1 binary64)))) (*.f64 z y)) |
(*.f64 y z) |
(*.f64 z y) |
y |
z |
(-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64))) #s(literal 1 binary64)))) |
(-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) (/.f64 #s(literal -2 binary64) y))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64))) #s(literal 1 binary64)))) |
(tanh.f64 (/.f64 t y)) |
(/.f64 t y) |
t |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) (/.f64 #s(literal -2 binary64) y))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y))) |
(-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) (/.f64 #s(literal -2 binary64) y))) |
#s(literal 1 binary64) |
(pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) |
(pow.f64 (exp.f64 x) (/.f64 #s(literal -2 binary64) y)) |
(exp.f64 #s(literal -2 binary64)) |
#s(literal -2 binary64) |
(/.f64 x y) |
(+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (pow (exp -2) (/ x y)) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64))) |
(fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64)) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.30344149762103617 | (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64))) #s(literal 1 binary64)))) | |
| accuracy | 5.768660029250082 | (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64))) #s(literal 1 binary64))))) | |
| accuracy | 18.794802506304787 | #s(approx (pow (exp -2) (/ x y)) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64))) | |
| accuracy | 21.957488818035486 | (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y))) | |
| accuracy | 7.209396973187326 | (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) (fma.f64 (*.f64 #s(literal 0 binary64) (*.f64 t t)) #s(literal 1/2 binary64) (*.f64 x x))) y) | |
| accuracy | 10.828064454715822 | (*.f64 #s(literal 0 binary64) (*.f64 t t)) | |
| accuracy | 14.224420841047381 | (-.f64 (+.f64 (fma.f64 #s(literal -1 binary64) x t) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) (fma.f64 (*.f64 #s(literal 0 binary64) (*.f64 t t)) #s(literal 1/2 binary64) (*.f64 x x))) y)) (*.f64 (neg.f64 x) (/.f64 (*.f64 #s(literal -1/2 binary64) x) y))) | |
| accuracy | 28.79907114665216 | #s(approx (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))) (/.f64 (-.f64 (+.f64 (fma.f64 #s(literal -1 binary64) x t) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) (fma.f64 (*.f64 #s(literal 0 binary64) (*.f64 t t)) #s(literal 1/2 binary64) (*.f64 x x))) y)) (*.f64 (neg.f64 x) (/.f64 (*.f64 #s(literal -1/2 binary64) x) y))) y)) | |
| accuracy | 0.0 | #s(approx (+ (* (- t x) z) x) (*.f64 (+.f64 (fma.f64 t (/.f64 z x) (neg.f64 z)) #s(literal 1 binary64)) x)) | |
| accuracy | 3.0795944039916794 | (fma.f64 t (/.f64 z x) (neg.f64 z)) | |
| accuracy | 6.18195430828995 | (*.f64 (+.f64 (fma.f64 t (/.f64 z x) (neg.f64 z)) #s(literal 1 binary64)) x) | |
| accuracy | 20.8471802825189 | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (+.f64 (fma.f64 t (/.f64 z x) (neg.f64 z)) #s(literal 1 binary64)) x))) | |
| accuracy | 0.0 | (*.f64 z t) | |
| accuracy | 20.8471802825189 | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 z t))) | |
| accuracy | 29.179115301015692 | #s(approx (+ (* (- t x) z) x) (*.f64 z t)) | |
| accuracy | 0.01171875 | (tanh.f64 (/.f64 x y)) | |
| accuracy | 1.0422125942681455 | (fma.f64 (tanh.f64 (/.f64 t y)) z (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) z)) | |
| accuracy | 1.0461057483550953 | (fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) z (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) z)) y x) | |
| accuracy | 2.150441609756914 | (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) z) |
| 262.0ms | 153× | 1 | valid |
| 72.0ms | 36× | 2 | valid |
| 23.0ms | 58× | 0 | exit |
| 4.0ms | 9× | 0 | valid |
Compiled 564 to 63 computations (88.8% saved)
adjust: 114.0ms (42% of total)ival-mult: 62.0ms (22.8% of total)ival-add: 24.0ms (8.8% of total)ival-div: 21.0ms (7.7% of total)ival-pow: 17.0ms (6.3% of total)ival-exp: 12.0ms (4.4% of total)ival-sub: 10.0ms (3.7% of total)ival-tanh: 5.0ms (1.8% of total)ival-neg: 4.0ms (1.5% of total)exact: 1.0ms (0.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (tanh.f64 (/.f64 t y)) z (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) z)) |
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) z (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) z)) y x) |
(tanh.f64 (/.f64 t y)) |
(/.f64 t y) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 z t))) |
#s(approx (+ (* (- t x) z) x) (*.f64 z t)) |
(*.f64 z t) |
(*.f64 (+.f64 (fma.f64 t (/.f64 z x) (neg.f64 z)) #s(literal 1 binary64)) x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (+.f64 (fma.f64 t (/.f64 z x) (neg.f64 z)) #s(literal 1 binary64)) x))) |
#s(approx (+ (* (- t x) z) x) (*.f64 (+.f64 (fma.f64 t (/.f64 z x) (neg.f64 z)) #s(literal 1 binary64)) x)) |
(+.f64 (fma.f64 t (/.f64 z x) (neg.f64 z)) #s(literal 1 binary64)) |
(-.f64 (+.f64 (fma.f64 #s(literal -1 binary64) x t) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) (fma.f64 (*.f64 #s(literal 0 binary64) (*.f64 t t)) #s(literal 1/2 binary64) (*.f64 x x))) y)) (*.f64 (neg.f64 x) (/.f64 (*.f64 #s(literal -1/2 binary64) x) y))) |
(*.f64 #s(literal 0 binary64) (*.f64 t t)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) (fma.f64 (*.f64 #s(literal 0 binary64) (*.f64 t t)) #s(literal 1/2 binary64) (*.f64 x x))) |
(fma.f64 (*.f64 #s(literal 0 binary64) (*.f64 t t)) #s(literal 1/2 binary64) (*.f64 x x)) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64))) #s(literal 1 binary64)))))) |
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64))) #s(literal 1 binary64))))) |
(*.f64 y z) |
(-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64))) #s(literal 1 binary64)))) |
(*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) z) |
(tanh.f64 (/.f64 x y)) |
(fma.f64 t (/.f64 z x) (neg.f64 z)) |
#s(approx (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))) (/.f64 (-.f64 (+.f64 (fma.f64 #s(literal -1 binary64) x t) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) (fma.f64 (*.f64 #s(literal 0 binary64) (*.f64 t t)) #s(literal 1/2 binary64) (*.f64 x x))) y)) (*.f64 (neg.f64 x) (/.f64 (*.f64 #s(literal -1/2 binary64) x) y))) y)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) (fma.f64 (*.f64 #s(literal 0 binary64) (*.f64 t t)) #s(literal 1/2 binary64) (*.f64 x x))) y) |
(-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y))) |
#s(approx (pow (exp -2) (/ x y)) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64))) |
| Outputs |
|---|
(/ (* z (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(+ (* -1 (/ (* x z) y)) (/ (* z (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) |
(+ (* x (+ (* -1 (/ z y)) (* 1/3 (/ (* (pow x 2) z) (pow y 3))))) (/ (* z (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) |
(+ (* x (+ (* -1 (/ z y)) (* (pow x 2) (+ (* -2/15 (/ (* (pow x 2) z) (pow y 5))) (* 1/3 (/ z (pow y 3))))))) (/ (* z (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) |
(/ (* y (* z (- (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(+ (* x (+ 1 (* -1 z))) (/ (* y (* z (- (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)) (/ 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)) (/ 1 (exp (/ t y)))))) (+ (exp (/ t y)) (/ 1 (exp (/ t 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)))))))))) |
(* t z) |
(+ (* t z) (* x (+ 1 (* -1 z)))) |
(+ (* t z) (* x (- 1 z))) |
(/ (* t z) x) |
(/ (+ (* t z) (* x (- 1 z))) x) |
t |
(+ t (* -1 x)) |
(* 1/2 (pow x 2)) |
(pow x 2) |
(+ (* -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)))))))))) |
(- (/ (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 (/ (* x z) y)) |
(* x (+ (* -1 (/ z y)) (* 1/3 (/ (* (pow x 2) z) (pow y 3))))) |
(* x (+ (* -1 (/ z y)) (* (pow x 2) (+ (* -2/15 (/ (* (pow x 2) z) (pow y 5))) (* 1/3 (/ z (pow y 3))))))) |
(* x (+ (* -1 (/ z y)) (* (pow x 2) (+ (* 1/3 (/ z (pow y 3))) (* (pow x 2) (+ (* -2/15 (/ z (pow y 5))) (* 17/315 (/ (* (pow x 2) z) (pow y 7))))))))) |
(/ x y) |
(* x (+ (* -1/3 (/ (pow x 2) (pow y 3))) (/ 1 y))) |
(* x (+ (* (pow x 2) (- (* 2/15 (/ (pow x 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) |
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -17/315 (/ (pow x 2) (pow y 7))) (* 2/15 (/ 1 (pow y 5))))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) |
(/ (+ (* -1 (* x z)) (* t z)) x) |
(* 1/2 (/ (pow x 2) y)) |
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0 |
(+ (* -1/2 (pow x 2)) (pow x 2)) |
(+ x (* y (* z (- (/ (exp (* -2 (/ x y))) (+ 1 (exp (* -2 (/ x y))))) (/ 1 (+ 1 (exp (* -2 (/ 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 (- (/ (exp (* -2 (/ x y))) (+ 1 (exp (* -2 (/ x y))))) (/ 1 (+ 1 (exp (* -2 (/ x y)))))))))) |
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(- (/ (exp (* -2 (/ x y))) (+ 1 (exp (* -2 (/ x y))))) (/ 1 (+ 1 (exp (* -2 (/ x y)))))) |
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(* t (+ z (+ (* -1 (/ (* x z) t)) (/ x t)))) |
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(* t (- (+ (/ 1 t) (/ z x)) (/ z t))) |
(* t (- (+ 1 (+ (* -1 (/ x t)) (+ (* -1/2 (/ (pow x 2) (* t y))) (/ (pow x 2) (* t y))))) (* 1/2 (/ (pow x 2) (* t y))))) |
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12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 80.0ms | y | @ | 0 | ((+ (* (tanh (/ t y)) z) (* (neg (tanh (/ x y))) z)) (+ (* (+ (* (tanh (/ t y)) z) (* (neg (tanh (/ x y))) z)) y) x) (tanh (/ t y)) (/ t y) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (* z t) (* (+ (+ (* t (/ z x)) (neg z)) 1) x) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (+ (+ (* t (/ z x)) (neg z)) 1) (- (+ (+ (* -1 x) t) (/ (+ (* -1/2 (* x x)) (+ (* (* 0 (* t t)) 1/2) (* x x))) y)) (* (neg x) (/ (* -1/2 x) y))) (* 0 (* t t)) (+ (* -1/2 (* x x)) (+ (* (* 0 (* t t)) 1/2) (* x x))) (+ (* (* 0 (* t t)) 1/2) (* x x)) (+ x (* (* y z) (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))))) (* (* y z) (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1)))) (* y z) (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))) (* (neg (tanh (/ x y))) z) (tanh (/ x y)) (+ (* t (/ z x)) (neg z)) (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))) (/ (+ (* -1/2 (* x x)) (+ (* (* 0 (* t t)) 1/2) (* x x))) y) (- 1 (pow (exp -2) (/ x y))) (pow (exp -2) (/ x y))) |
| 50.0ms | t | @ | -inf | ((+ (* (tanh (/ t y)) z) (* (neg (tanh (/ x y))) z)) (+ (* (+ (* (tanh (/ t y)) z) (* (neg (tanh (/ x y))) z)) y) x) (tanh (/ t y)) (/ t y) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (* z t) (* (+ (+ (* t (/ z x)) (neg z)) 1) x) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (+ (+ (* t (/ z x)) (neg z)) 1) (- (+ (+ (* -1 x) t) (/ (+ (* -1/2 (* x x)) (+ (* (* 0 (* t t)) 1/2) (* x x))) y)) (* (neg x) (/ (* -1/2 x) y))) (* 0 (* t t)) (+ (* -1/2 (* x x)) (+ (* (* 0 (* t t)) 1/2) (* x x))) (+ (* (* 0 (* t t)) 1/2) (* x x)) (+ x (* (* y z) (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))))) (* (* y z) (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1)))) (* y z) (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))) (* (neg (tanh (/ x y))) z) (tanh (/ x y)) (+ (* t (/ z x)) (neg z)) (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))) (/ (+ (* -1/2 (* x x)) (+ (* (* 0 (* t t)) 1/2) (* x x))) y) (- 1 (pow (exp -2) (/ x y))) (pow (exp -2) (/ x y))) |
| 39.0ms | z | @ | inf | ((+ (* (tanh (/ t y)) z) (* (neg (tanh (/ x y))) z)) (+ (* (+ (* (tanh (/ t y)) z) (* (neg (tanh (/ x y))) z)) y) x) (tanh (/ t y)) (/ t y) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (* z t) (* (+ (+ (* t (/ z x)) (neg z)) 1) x) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (+ (+ (* t (/ z x)) (neg z)) 1) (- (+ (+ (* -1 x) t) (/ (+ (* -1/2 (* x x)) (+ (* (* 0 (* t t)) 1/2) (* x x))) y)) (* (neg x) (/ (* -1/2 x) y))) (* 0 (* t t)) (+ (* -1/2 (* x x)) (+ (* (* 0 (* t t)) 1/2) (* x x))) (+ (* (* 0 (* t t)) 1/2) (* x x)) (+ x (* (* y z) (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))))) (* (* y z) (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1)))) (* y z) (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))) (* (neg (tanh (/ x y))) z) (tanh (/ x y)) (+ (* t (/ z x)) (neg z)) (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))) (/ (+ (* -1/2 (* x x)) (+ (* (* 0 (* t t)) 1/2) (* x x))) y) (- 1 (pow (exp -2) (/ x y))) (pow (exp -2) (/ x y))) |
| 36.0ms | t | @ | 0 | ((+ (* (tanh (/ t y)) z) (* (neg (tanh (/ x y))) z)) (+ (* (+ (* (tanh (/ t y)) z) (* (neg (tanh (/ x y))) z)) y) x) (tanh (/ t y)) (/ t y) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (* z t) (* (+ (+ (* t (/ z x)) (neg z)) 1) x) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (+ (+ (* t (/ z x)) (neg z)) 1) (- (+ (+ (* -1 x) t) (/ (+ (* -1/2 (* x x)) (+ (* (* 0 (* t t)) 1/2) (* x x))) y)) (* (neg x) (/ (* -1/2 x) y))) (* 0 (* t t)) (+ (* -1/2 (* x x)) (+ (* (* 0 (* t t)) 1/2) (* x x))) (+ (* (* 0 (* t t)) 1/2) (* x x)) (+ x (* (* y z) (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))))) (* (* y z) (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1)))) (* y z) (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))) (* (neg (tanh (/ x y))) z) (tanh (/ x y)) (+ (* t (/ z x)) (neg z)) (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))) (/ (+ (* -1/2 (* x x)) (+ (* (* 0 (* t t)) 1/2) (* x x))) y) (- 1 (pow (exp -2) (/ x y))) (pow (exp -2) (/ x y))) |
| 34.0ms | z | @ | 0 | ((+ (* (tanh (/ t y)) z) (* (neg (tanh (/ x y))) z)) (+ (* (+ (* (tanh (/ t y)) z) (* (neg (tanh (/ x y))) z)) y) x) (tanh (/ t y)) (/ t y) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (* z t) (* (+ (+ (* t (/ z x)) (neg z)) 1) x) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (+ (+ (* t (/ z x)) (neg z)) 1) (- (+ (+ (* -1 x) t) (/ (+ (* -1/2 (* x x)) (+ (* (* 0 (* t t)) 1/2) (* x x))) y)) (* (neg x) (/ (* -1/2 x) y))) (* 0 (* t t)) (+ (* -1/2 (* x x)) (+ (* (* 0 (* t t)) 1/2) (* x x))) (+ (* (* 0 (* t t)) 1/2) (* x x)) (+ x (* (* y z) (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))))) (* (* y z) (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1)))) (* y z) (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))) (* (neg (tanh (/ x y))) z) (tanh (/ x y)) (+ (* t (/ z x)) (neg z)) (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))) (/ (+ (* -1/2 (* x x)) (+ (* (* 0 (* t t)) 1/2) (* x x))) y) (- 1 (pow (exp -2) (/ x y))) (pow (exp -2) (/ x y))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1178 | 10651 |
| 1 | 4219 | 10256 |
| 0 | 8172 | 9735 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* z (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(+ (* -1 (/ (* x z) y)) (/ (* z (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) |
(+ (* x (+ (* -1 (/ z y)) (* 1/3 (/ (* (pow x 2) z) (pow y 3))))) (/ (* z (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) |
(+ (* x (+ (* -1 (/ z y)) (* (pow x 2) (+ (* -2/15 (/ (* (pow x 2) z) (pow y 5))) (* 1/3 (/ z (pow y 3))))))) (/ (* z (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) |
(/ (* y (* z (- (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(+ (* x (+ 1 (* -1 z))) (/ (* y (* z (- (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)) (/ 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)) (/ 1 (exp (/ t y)))))) (+ (exp (/ t y)) (/ 1 (exp (/ t 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)))))))))) |
(* t z) |
(+ (* t z) (* x (+ 1 (* -1 z)))) |
(+ (* t z) (* x (- 1 z))) |
(/ (* t z) x) |
(/ (+ (* t z) (* x (- 1 z))) x) |
t |
(+ t (* -1 x)) |
(* 1/2 (pow x 2)) |
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(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* z (+ (* -1 (pow x 2)) (pow x 2)))) (/ (* z (- (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) (* -1/2 (pow x 3)))) y)) y)) (* x z)) y)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* z (- (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) (* -1/2 (pow x 3))))) (/ (* z (- (* 1/2 (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (+ (* 1/12 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))))) (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (* 1/2 (* x (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))))) y)) y)) (* -1/2 (* z (+ (* -1 (pow x 2)) (pow x 2))))) y)) (* x z)) y)) |
(* -1 (/ (+ (* -1 x) (* -1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (- (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) (* -1/2 (pow x 3))) y)) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (+ (* 1/12 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))))) (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (* 1/2 (* x (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))) y)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))) (* -1/2 (pow x 3))) y)) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) y)) |
(* -1 (/ (- (* 2 (/ (pow x 2) y)) (* 2 x)) y)) |
(* -1 (/ (- (* -1 (/ (- (* 4/3 (/ (pow x 3) y)) (* 2 (pow x 2))) y)) (* 2 x)) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2/3 (/ (pow x 4) y)) (* 4/3 (pow x 3))) y)) (* 2 (pow x 2))) y)) (* 2 x)) y)) |
(+ 1 (* -1 (/ (+ (* -2 (/ (pow x 2) y)) (* 2 x)) y))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (pow x 3) y)) (* 2 (pow x 2))) y)) (* 2 x)) y))) |
(* z (- (+ (* -1 (- (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))) |
(+ x (* y (* z (- (+ (* -1 (- (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))) |
(+ x (* x (* z (- (/ t x) 1)))) |
(+ 1 (* z (- (/ t x) 1))) |
(* -1 (* z (- (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* z (- (/ t x) 1)) |
(* z (- (+ (* -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)))))))) |
(* y (* z (- (+ (* -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))))))))) |
(* z (+ (* 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)))))))) (/ x z))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(* z (+ (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (/ x z))) |
(* z (- t x)) |
(* z (- (+ t (/ x z)) x)) |
(* x (* z (- (/ t x) 1))) |
(* z (+ (* x (- (/ t x) 1)) (/ x z))) |
(* z (- (+ (/ 1 z) (/ t x)) 1)) |
(* z (+ (* y (- (+ (/ (exp (* -2 (/ x y))) (+ 1 (exp (* -2 (/ x y))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (+ 1 (exp (* -2 (/ x y)))))))) (/ x z))) |
(* -1 (* z (- (+ (* -1 (/ (- (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))))))))) |
(* -1 (* y (* z (- (+ (* -1 (/ (- (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)))))))))) |
(* -1 (* z (+ (* -1 (/ x z)) (* y (- (+ (* -1 (/ (- (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))))))))))) |
(* -1 (* z (+ (* -1 (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 (- t x)) (* -1 (/ x z))))) |
(* -1 (* x (* z (+ 1 (* -1 (/ t x)))))) |
(* -1 (* z (+ (* -1 (/ x z)) (* x (+ 1 (* -1 (/ t x))))))) |
(* -1 (* z (+ 1 (* -1 (/ t x))))) |
(* -1 (* z (- (+ 1 (* -1 (/ t x))) (/ 1 z)))) |
(* -1 (* z (+ (* -1 (* y (- (+ (/ (exp (* -2 (/ x y))) (+ 1 (exp (* -2 (/ x y))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (+ 1 (exp (* -2 (/ x y))))))))) (* -1 (/ x z))))) |
(+ (* -1 (/ (* z (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (* t z) y)) |
(+ (* -1 (/ (* z (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (* t (+ (* -1/3 (/ (* (pow t 2) z) (pow y 3))) (/ z y)))) |
(+ (* -1 (/ (* z (- (exp (/ x y)) (/ 1 (exp (/ x y))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (* t (+ (* (pow t 2) (+ (* -1/3 (/ z (pow y 3))) (* 2/15 (/ (* (pow t 2) z) (pow y 5))))) (/ z y)))) |
(+ x (* -1 (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(+ x (+ (* -1 (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (* t z))) |
(+ x (+ (* -1 (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))))) |
(+ x (+ (* -1 (/ (* y (* z (- (exp (/ x y)) (/ 1 (exp (/ x y)))))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))))) |
(* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y))) |
(* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) |
(* t (+ (* (pow t 2) (- (* (pow t 2) (+ (* -17/315 (/ (pow t 2) (pow y 7))) (* 2/15 (/ 1 (pow y 5))))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) |
(+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (* -1 (* x z))) |
(- (+ (* -1 x) (+ (* -1/2 (/ (pow x 2) y)) (/ (pow x 2) y))) (* 1/2 (/ (pow x 2) y))) |
0 |
(+ (* -1/2 (pow x 2)) (pow x 2)) |
(+ x (* y (* z (- (/ (exp (* -2 (/ x y))) (+ 1 (exp (* -2 (/ x y))))) (/ 1 (+ 1 (exp (* -2 (/ x y))))))))) |
(+ x (+ (* t z) (* y (* z (- (/ (exp (* -2 (/ x y))) (+ 1 (exp (* -2 (/ x y))))) (/ 1 (+ 1 (exp (* -2 (/ x y)))))))))) |
(+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ (exp (* -2 (/ x y))) (+ 1 (exp (* -2 (/ x y))))) (/ 1 (+ 1 (exp (* -2 (/ 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 (- (/ (exp (* -2 (/ x y))) (+ 1 (exp (* -2 (/ x y))))) (/ 1 (+ 1 (exp (* -2 (/ x y)))))))))) |
(* y (* z (- (/ (exp (* -2 (/ x y))) (+ 1 (exp (* -2 (/ x y))))) (/ 1 (+ 1 (exp (* -2 (/ x y)))))))) |
(+ (* t z) (* y (* z (- (/ (exp (* -2 (/ x y))) (+ 1 (exp (* -2 (/ x y))))) (/ 1 (+ 1 (exp (* -2 (/ x y))))))))) |
(+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ (exp (* -2 (/ x y))) (+ 1 (exp (* -2 (/ x y))))) (/ 1 (+ 1 (exp (* -2 (/ x y))))))))) |
(+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ (exp (* -2 (/ x y))) (+ 1 (exp (* -2 (/ x y))))) (/ 1 (+ 1 (exp (* -2 (/ x y))))))))) |
(- (/ (exp (* -2 (/ x y))) (+ 1 (exp (* -2 (/ x y))))) (/ 1 (+ 1 (exp (* -2 (/ x y)))))) |
(- (+ (/ t y) (/ (exp (* -2 (/ x y))) (+ 1 (exp (* -2 (/ x y)))))) (/ 1 (+ 1 (exp (* -2 (/ x y)))))) |
(- (+ (* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y))) (/ (exp (* -2 (/ x y))) (+ 1 (exp (* -2 (/ x y)))))) (/ 1 (+ 1 (exp (* -2 (/ x y)))))) |
(- (+ (* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) (/ (exp (* -2 (/ x y))) (+ 1 (exp (* -2 (/ x y)))))) (/ 1 (+ 1 (exp (* -2 (/ x y)))))) |
(* t (+ z (+ (* -1 (/ (* x z) t)) (/ x t)))) |
(* t (+ z (/ (* x (- 1 z)) t))) |
(* t (- (+ (/ 1 t) (/ z x)) (/ z t))) |
(* t (- (+ 1 (+ (* -1 (/ x t)) (+ (* -1/2 (/ (pow x 2) (* t y))) (/ (pow x 2) (* t y))))) (* 1/2 (/ (pow x 2) (* t y))))) |
(* t (+ (* -1 (/ z t)) (/ z x))) |
(* -1 (* t (+ (* -1 z) (* -1 (/ (+ x (* -1 (* x z))) t))))) |
(* -1 (* t (+ (* -1 z) (* -1 (/ (* x (- 1 z)) t))))) |
(* -1 (* t (+ (* -1 (/ z x)) (* -1 (/ (- 1 z) t))))) |
(* -1 (* t (- (* -1 (/ (- (+ (* -1 x) (+ (* -1/2 (/ (pow x 2) y)) (/ (pow x 2) y))) (* 1/2 (/ (pow x 2) y))) t)) 1))) |
(* -1 (* t (+ (* -1 (/ z x)) (/ z t)))) |
| Outputs |
|---|
(/ (* z (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(/.f64 (*.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) z) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) |
(+ (* -1 (/ (* x z) y)) (/ (* z (- (exp (/ t y)) (/ 1 (exp (/ t y))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) |
(fma.f64 (neg.f64 x) (/.f64 z y) (/.f64 (*.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) z) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) |
(+ (* x (+ (* -1 (/ z y)) (* 1/3 (/ (* (pow x 2) z) (pow y 3))))) (/ (* z (- (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 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) z (*.f64 (fma.f64 (*.f64 (*.f64 x x) (/.f64 z (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/3 binary64) (/.f64 (neg.f64 z) y)) x)) |
(+ (* x (+ (* -1 (/ z y)) (* (pow x 2) (+ (* -2/15 (/ (* (pow x 2) z) (pow y 5))) (* 1/3 (/ z (pow y 3))))))) (/ (* z (- (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 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) z (*.f64 (fma.f64 (fma.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))) #s(literal 1/3 binary64) (/.f64 (*.f64 #s(literal -2/15 binary64) (*.f64 (*.f64 x x) z)) (pow.f64 y #s(literal 5 binary64)))) (*.f64 x x) (/.f64 (neg.f64 z) y)) x)) |
(/ (* y (* z (- (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(/.f64 (*.f64 (*.f64 z y) (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y)))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) |
(+ (* x (+ 1 (* -1 z))) (/ (* y (* z (- (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) |
(fma.f64 (fma.f64 #s(literal -1 binary64) z #s(literal 1 binary64)) x (/.f64 (*.f64 (*.f64 z y) (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y)))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) |
(+ (* x (+ 1 (+ (* -1 z) (* 1/3 (/ (* (pow x 2) z) (pow y 2)))))) (/ (* y (* z (- (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) |
(fma.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 (*.f64 (*.f64 x x) z) y) (neg.f64 z)) #s(literal 1 binary64)) x (/.f64 (*.f64 (*.f64 z y) (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y)))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 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)) (/ 1 (exp (/ t y)))))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) |
(fma.f64 (+.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 z y) (/.f64 (*.f64 #s(literal -2/15 binary64) (*.f64 (*.f64 x x) z)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 x x) (neg.f64 z)) #s(literal 1 binary64)) x (/.f64 (*.f64 (*.f64 z y) (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y)))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) |
(* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))) |
(/.f64 (*.f64 (*.f64 z y) (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y)))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 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)))))))))) |
(fma.f64 (fma.f64 #s(literal -1 binary64) z #s(literal 1 binary64)) x (/.f64 (*.f64 (*.f64 z y) (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y)))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 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)))))))))) |
(fma.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 (*.f64 (*.f64 x x) z) y) (neg.f64 z)) #s(literal 1 binary64)) x (/.f64 (*.f64 (*.f64 z y) (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y)))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 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)))))))))) |
(fma.f64 (+.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 z y) (/.f64 (*.f64 #s(literal -2/15 binary64) (*.f64 (*.f64 x x) z)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 x x) (neg.f64 z)) #s(literal 1 binary64)) x (/.f64 (*.f64 (*.f64 z y) (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y)))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) |
(* t z) |
(*.f64 z t) |
(+ (* t z) (* x (+ 1 (* -1 z)))) |
(fma.f64 (fma.f64 #s(literal -1 binary64) z #s(literal 1 binary64)) x (*.f64 z t)) |
(+ (* t z) (* x (- 1 z))) |
(fma.f64 (-.f64 #s(literal 1 binary64) z) x (*.f64 z t)) |
(/ (* t z) x) |
(/.f64 (*.f64 z t) x) |
(/ (+ (* t z) (* x (- 1 z))) x) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x (*.f64 z t)) x) |
t |
(+ t (* -1 x)) |
(fma.f64 #s(literal -1 binary64) x t) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(pow x 2) |
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(+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ (exp (* -2 (/ x y))) (+ 1 (exp (* -2 (/ x y))))) (/ 1 (+ 1 (exp (* -2 (/ x y))))))))) |
(fma.f64 (*.f64 z y) (-.f64 (/.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) #s(literal 1 binary64)))) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) y) (/.f64 z y) (/.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 t t) z)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 t t) z) t)) |
(- (/ (exp (* -2 (/ x y))) (+ 1 (exp (* -2 (/ x y))))) (/ 1 (+ 1 (exp (* -2 (/ x y)))))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) #s(literal 1 binary64)))) |
(- (+ (/ t y) (/ (exp (* -2 (/ x y))) (+ 1 (exp (* -2 (/ x y)))))) (/ 1 (+ 1 (exp (* -2 (/ x y)))))) |
(-.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) #s(literal 1 binary64))) (/.f64 t y)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) #s(literal 1 binary64)))) |
(- (+ (* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y))) (/ (exp (* -2 (/ x y))) (+ 1 (exp (* -2 (/ x y)))))) (/ 1 (+ 1 (exp (* -2 (/ x y)))))) |
(-.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 t t) (pow.f64 y #s(literal 3 binary64))) #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) y)) t (/.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) #s(literal 1 binary64)))) |
(- (+ (* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) (/ (exp (* -2 (/ x y))) (+ 1 (exp (* -2 (/ x y)))))) (/ 1 (+ 1 (exp (* -2 (/ x y)))))) |
(-.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 t t)) (pow.f64 y #s(literal 5 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 t t) (/.f64 #s(literal 1 binary64) y)) t (/.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) #s(literal 1 binary64)))) |
(* t (+ z (+ (* -1 (/ (* x z) t)) (/ x t)))) |
(*.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 x) z x) t) z) t) |
(* t (+ z (/ (* x (- 1 z)) t))) |
(*.f64 (fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) t) z) t) |
(* t (- (+ (/ 1 t) (/ z x)) (/ z t))) |
(*.f64 (-.f64 (+.f64 (/.f64 z x) (/.f64 #s(literal 1 binary64) t)) (/.f64 z t)) t) |
(* t (- (+ 1 (+ (* -1 (/ x t)) (+ (* -1/2 (/ (pow x 2) (* t y))) (/ (pow x 2) (* t y))))) (* 1/2 (/ (pow x 2) (* t y))))) |
(*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) t) (/.f64 (*.f64 x x) y) (/.f64 (neg.f64 x) t)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) (/.f64 (*.f64 x x) y))) t) |
(* t (+ (* -1 (/ z t)) (/ z x))) |
(*.f64 (fma.f64 (/.f64 z t) #s(literal -1 binary64) (/.f64 z x)) t) |
(* -1 (* t (+ (* -1 z) (* -1 (/ (+ x (* -1 (* x z))) t))))) |
(*.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 x) z x) t) z)) (neg.f64 t)) |
(* -1 (* t (+ (* -1 z) (* -1 (/ (* x (- 1 z)) t))))) |
(*.f64 (neg.f64 (fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) t) z)) (neg.f64 t)) |
(* -1 (* t (+ (* -1 (/ z x)) (* -1 (/ (- 1 z) t))))) |
(*.f64 (neg.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) t) (/.f64 z x))) (neg.f64 t)) |
(* -1 (* t (- (* -1 (/ (- (+ (* -1 x) (+ (* -1/2 (/ (pow x 2) y)) (/ (pow x 2) y))) (* 1/2 (/ (pow x 2) y))) t)) 1))) |
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 0 binary64)) y)) (neg.f64 t)) #s(literal 1 binary64)) (neg.f64 t)) |
(* -1 (* t (+ (* -1 (/ z x)) (/ z t)))) |
(*.f64 (fma.f64 (/.f64 z x) #s(literal -1 binary64) (/.f64 z t)) (neg.f64 t)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 71 | 424 |
| 0 | 118 | 378 |
| 1 | 514 | 358 |
| 2 | 4461 | 358 |
| 0 | 8602 | 350 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (tanh.f64 (/.f64 t y)) z (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) z)) |
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) z (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) z)) y x) |
(tanh.f64 (/.f64 t y)) |
(/.f64 t y) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 z t))) |
#s(approx (+ (* (- t x) z) x) (*.f64 z t)) |
(*.f64 z t) |
(*.f64 (+.f64 (fma.f64 t (/.f64 z x) (neg.f64 z)) #s(literal 1 binary64)) x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (+.f64 (fma.f64 t (/.f64 z x) (neg.f64 z)) #s(literal 1 binary64)) x))) |
#s(approx (+ (* (- t x) z) x) (*.f64 (+.f64 (fma.f64 t (/.f64 z x) (neg.f64 z)) #s(literal 1 binary64)) x)) |
(+.f64 (fma.f64 t (/.f64 z x) (neg.f64 z)) #s(literal 1 binary64)) |
(-.f64 (+.f64 (fma.f64 #s(literal -1 binary64) x t) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) (fma.f64 (*.f64 #s(literal 0 binary64) (*.f64 t t)) #s(literal 1/2 binary64) (*.f64 x x))) y)) (*.f64 (neg.f64 x) (/.f64 (*.f64 #s(literal -1/2 binary64) x) y))) |
(*.f64 #s(literal 0 binary64) (*.f64 t t)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) (fma.f64 (*.f64 #s(literal 0 binary64) (*.f64 t t)) #s(literal 1/2 binary64) (*.f64 x x))) |
(fma.f64 (*.f64 #s(literal 0 binary64) (*.f64 t t)) #s(literal 1/2 binary64) (*.f64 x x)) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64))) #s(literal 1 binary64)))))) |
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64))) #s(literal 1 binary64))))) |
(*.f64 y z) |
(-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64))) #s(literal 1 binary64)))) |
(*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) z) |
(tanh.f64 (/.f64 x y)) |
(fma.f64 t (/.f64 z x) (neg.f64 z)) |
#s(approx (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))) (/.f64 (-.f64 (+.f64 (fma.f64 #s(literal -1 binary64) x t) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) (fma.f64 (*.f64 #s(literal 0 binary64) (*.f64 t t)) #s(literal 1/2 binary64) (*.f64 x x))) y)) (*.f64 (neg.f64 x) (/.f64 (*.f64 #s(literal -1/2 binary64) x) y))) y)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) (fma.f64 (*.f64 #s(literal 0 binary64) (*.f64 t t)) #s(literal 1/2 binary64) (*.f64 x x))) y) |
(-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y))) |
#s(approx (pow (exp -2) (/ x y)) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 (+.f64 (neg.f64 (tanh.f64 (/.f64 x y))) (tanh.f64 (/.f64 t y))) z) |
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) |
(*.f64 z (+.f64 (neg.f64 (tanh.f64 (/.f64 x y))) (tanh.f64 (/.f64 t y)))) |
(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
(/.f64 (*.f64 z (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 2 binary64)))) (+.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 t y)))) |
(/.f64 (*.f64 z (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64)))) (fma.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 t y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (tanh.f64 (/.f64 x y)) z) #s(literal 2 binary64)) (pow.f64 (*.f64 z (tanh.f64 (/.f64 t y))) #s(literal 2 binary64))) (-.f64 (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 z)) (*.f64 z (tanh.f64 (/.f64 t y))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 z (tanh.f64 (/.f64 t y))) #s(literal 3 binary64)) (pow.f64 (*.f64 (tanh.f64 (/.f64 x y)) z) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z (tanh.f64 (/.f64 t y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (tanh.f64 (/.f64 x y)) z) #s(literal 2 binary64)) (*.f64 (*.f64 z (tanh.f64 (/.f64 t y))) (*.f64 (tanh.f64 (/.f64 x y)) z))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z (tanh.f64 (/.f64 t y))) #s(literal 2 binary64)) (pow.f64 (*.f64 (tanh.f64 (/.f64 x y)) z) #s(literal 2 binary64)))) (neg.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (neg.f64 (tanh.f64 (/.f64 x y))))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 z)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (tanh.f64 (/.f64 t y))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 z)) (-.f64 (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 z)) (*.f64 z (tanh.f64 (/.f64 t y)))) (pow.f64 (*.f64 z (tanh.f64 (/.f64 t y))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 z (tanh.f64 (/.f64 t y))) #s(literal 2 binary64)) (pow.f64 (*.f64 (tanh.f64 (/.f64 x y)) z) #s(literal 2 binary64))) (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (neg.f64 (tanh.f64 (/.f64 x y)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 z)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (tanh.f64 (/.f64 t y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (tanh.f64 (/.f64 x y)) z) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 z (tanh.f64 (/.f64 t y))) #s(literal 2 binary64)) (*.f64 (*.f64 z (tanh.f64 (/.f64 t y))) (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 z)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 z)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (tanh.f64 (/.f64 t y))) #s(literal 3 binary64))) (fma.f64 (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 z)) (-.f64 (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 z)) (*.f64 z (tanh.f64 (/.f64 t y)))) (pow.f64 (*.f64 z (tanh.f64 (/.f64 t y))) #s(literal 2 binary64)))) |
(fma.f64 (neg.f64 (tanh.f64 (/.f64 x y))) z (*.f64 z (tanh.f64 (/.f64 t y)))) |
(fma.f64 (tanh.f64 (/.f64 x y)) (neg.f64 z) (*.f64 z (tanh.f64 (/.f64 t y)))) |
(fma.f64 z (neg.f64 (tanh.f64 (/.f64 x y))) (*.f64 z (tanh.f64 (/.f64 t y)))) |
(fma.f64 z (tanh.f64 (/.f64 t y)) (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 z))) |
(fma.f64 (tanh.f64 (/.f64 t y)) z (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 z))) |
(-.f64 (/.f64 (pow.f64 (*.f64 z (tanh.f64 (/.f64 t y))) #s(literal 2 binary64)) (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (neg.f64 (tanh.f64 (/.f64 x y)))))) (/.f64 (pow.f64 (*.f64 (tanh.f64 (/.f64 x y)) z) #s(literal 2 binary64)) (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (neg.f64 (tanh.f64 (/.f64 x y))))))) |
(-.f64 (*.f64 z (tanh.f64 (/.f64 t y))) (*.f64 (neg.f64 z) (neg.f64 (tanh.f64 (/.f64 x y))))) |
(-.f64 (*.f64 z (tanh.f64 (/.f64 t y))) (*.f64 (tanh.f64 (/.f64 x y)) z)) |
(-.f64 (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 z)) (*.f64 (neg.f64 z) (tanh.f64 (/.f64 t y)))) |
(-.f64 (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 z)) (*.f64 (neg.f64 (tanh.f64 (/.f64 t y))) z)) |
(+.f64 (/.f64 (pow.f64 (*.f64 z (tanh.f64 (/.f64 t y))) #s(literal 3 binary64)) (fma.f64 (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 z)) (-.f64 (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 z)) (*.f64 z (tanh.f64 (/.f64 t y)))) (pow.f64 (*.f64 z (tanh.f64 (/.f64 t y))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 z)) #s(literal 3 binary64)) (fma.f64 (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 z)) (-.f64 (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 z)) (*.f64 z (tanh.f64 (/.f64 t y)))) (pow.f64 (*.f64 z (tanh.f64 (/.f64 t y))) #s(literal 2 binary64))))) |
(+.f64 (*.f64 z (tanh.f64 (/.f64 t y))) (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 z))) |
(+.f64 (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 z)) (*.f64 z (tanh.f64 (/.f64 t y)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 y) z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64))) (fma.f64 x x (+.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (*.f64 x (*.f64 (*.f64 (neg.f64 y) z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (-.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64))) (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (-.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x) (*.f64 x x))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)))) |
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64) (*.f64 (neg.f64 (*.f64 (neg.f64 y) z)) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64) (*.f64 (*.f64 z y) (-.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 z y) (+.f64 (neg.f64 (tanh.f64 (/.f64 x y))) (tanh.f64 (/.f64 t y))) x) |
(fma.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x) |
(fma.f64 (neg.f64 x) #s(literal -1 binary64) (*.f64 (neg.f64 (*.f64 (neg.f64 y) z)) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(fma.f64 (neg.f64 x) #s(literal -1 binary64) (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
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(/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))) (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 x y)) #s(literal 1 binary64))) |
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 x y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y))) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) #s(literal 1 binary64))) |
(neg.f64 (neg.f64 (tanh.f64 (/.f64 x y)))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 x y)) (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 x y)) #s(literal 1 binary64))) (pow.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 x y)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 (/.f64 (exp.f64 (/.f64 x y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (/.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y))))) |
(-.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) #s(literal 1 binary64)))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 z x) t (neg.f64 z))) |
(*.f64 (fma.f64 (/.f64 z x) t (neg.f64 z)) #s(literal 1 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 z x) t) #s(literal 2 binary64)) (*.f64 z z)) #s(literal 1 binary64)) (-.f64 (*.f64 (/.f64 z x) t) (neg.f64 z))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 z x) t) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (neg.f64 z) (-.f64 (neg.f64 z) (*.f64 (/.f64 z x) t)) (pow.f64 (*.f64 (/.f64 z x) t) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 (/.f64 z x) t) #s(literal 2 binary64))) (-.f64 (neg.f64 z) (*.f64 (/.f64 z x) t))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 z x) t) #s(literal 2 binary64)) (*.f64 z z))) (neg.f64 (-.f64 (*.f64 (/.f64 z x) t) (neg.f64 z)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 z x) t) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (neg.f64 z) (-.f64 (neg.f64 z) (*.f64 (/.f64 z x) t)) (pow.f64 (*.f64 (/.f64 z x) t) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 z x) t) #s(literal 2 binary64)) (*.f64 z z)) (-.f64 (*.f64 (/.f64 z x) t) (neg.f64 z))) |
(/.f64 (+.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 z x) t) #s(literal 3 binary64))) (fma.f64 z z (-.f64 (pow.f64 (*.f64 (/.f64 z x) t) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 z x) t) (neg.f64 z))))) |
(/.f64 (+.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 z x) t) #s(literal 3 binary64))) (fma.f64 (neg.f64 z) (-.f64 (neg.f64 z) (*.f64 (/.f64 z x) t)) (pow.f64 (*.f64 (/.f64 z x) t) #s(literal 2 binary64)))) |
(fma.f64 (/.f64 z x) t (neg.f64 z)) |
(fma.f64 z (/.f64 t x) (neg.f64 z)) |
(fma.f64 t (/.f64 z x) (neg.f64 z)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 z x) t) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 z x) t) (neg.f64 z))) (/.f64 (*.f64 z z) (-.f64 (*.f64 (/.f64 z x) t) (neg.f64 z)))) |
(-.f64 (neg.f64 z) (*.f64 (neg.f64 (/.f64 z x)) t)) |
(-.f64 (neg.f64 z) (*.f64 (neg.f64 t) (/.f64 z x))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 z x) t) #s(literal 3 binary64)) (fma.f64 (neg.f64 z) (-.f64 (neg.f64 z) (*.f64 (/.f64 z x) t)) (pow.f64 (*.f64 (/.f64 z x) t) #s(literal 2 binary64)))) (/.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (fma.f64 (neg.f64 z) (-.f64 (neg.f64 z) (*.f64 (/.f64 z x) t)) (pow.f64 (*.f64 (/.f64 z x) t) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (/.f64 z x) t) (neg.f64 z)) |
(+.f64 (neg.f64 z) (*.f64 (/.f64 z x) t)) |
#s(approx (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))) (/.f64 (+.f64 (/.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y) (-.f64 t x)) y)) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) x) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 x x) y) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) x) (/.f64 (*.f64 x x) y))) |
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (*.f64 x x) y) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (*.f64 x x) y) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) x) (/.f64 (*.f64 x x) y))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (*.f64 x x)))) (neg.f64 (neg.f64 y))) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) x) y (*.f64 y (*.f64 x x))) (*.f64 y y)) |
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) x) (*.f64 x x)) y)) |
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 4 binary64))))) y)) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (*.f64 x x))) (neg.f64 y)) |
(/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (*.f64 x x)) y) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (*.f64 x x))) y)) |
(neg.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (*.f64 x x)) (neg.f64 y))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) x (/.f64 (*.f64 x x) y)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 x y) (/.f64 (*.f64 x x) y)) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 x x) y)) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) y) (/.f64 (*.f64 x x) y)) |
(fma.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 (*.f64 x x) y)) |
(+.f64 (/.f64 (*.f64 x x) y) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) x)) |
(+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) x) (/.f64 (*.f64 x x) y)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -4 binary64)) (/.f64 x y))) (expm1.f64 (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y))))) (expm1.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -4 binary64)) (/.f64 x y))) (+.f64 (pow.f64 (exp.f64 (/.f64 x y)) #s(literal -6 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) (/.f64 x y)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -4 binary64)) (/.f64 x y)))) (neg.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (/.f64 x y)) #s(literal -6 binary64)))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -4 binary64)) (/.f64 x y))) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -4 binary64)) (/.f64 x y))) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (/.f64 x y)) #s(literal -6 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -4 binary64)) (/.f64 x y))) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)))) |
(-.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -4 binary64)) (/.f64 x y))) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y))) #s(literal -1 binary64)) (/.f64 (pow.f64 (exp.f64 (/.f64 x y)) #s(literal -6 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -4 binary64)) (/.f64 x y))) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y))))) |
(-.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) (/.f64 x y)) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y))) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y))) #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 (/.f64 x y) #s(literal 2 binary64))))) |
(*.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) #s(approx (pow (exp -2) (/ x y)) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64)))) |
#s(approx (pow (exp -2) (/ x y)) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64))) |
Compiled 35 729 to 3 698 computations (89.6% saved)
29 alts after pruning (26 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 610 | 15 | 625 |
| Fresh | 1 | 11 | 12 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 2 | 2 |
| Total | 615 | 29 | 644 |
| Status | Accuracy | Program |
|---|---|---|
| 68.3% | (fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) z (*.f64 (neg.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))) (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 x y)) #s(literal 1 binary64)))) z)) y x) | |
| 65.4% | (fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) z (*.f64 (neg.f64 #s(approx (tanh (/ x y)) (/.f64 x y))) z)) y x) | |
| 61.6% | (fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) x) | |
| ✓ | 96.4% | (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) |
| 61.0% | (fma.f64 (*.f64 (+.f64 (-.f64 (tanh.f64 (/.f64 t y)) (pow.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) #s(literal 1 binary64)))) z) y x) | |
| ▶ | 47.4% | (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) z) y x) |
| 59.2% | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y))) (+.f64 #s(approx (pow (exp -2) (/ x y)) #s(literal 1 binary64)) #s(literal 1 binary64)))))) | |
| 63.2% | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 x y))))))) | |
| ▶ | 71.3% | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 #s(approx (- 1 (pow (exp -2) (/ x y))) (*.f64 #s(literal 2 binary64) (/.f64 x y))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64))) #s(literal 1 binary64)))))) |
| ▶ | 60.6% | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) |
| 28.0% | (+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (/.f64 x y)) (cosh.f64 (/.f64 x y))))))) | |
| 30.8% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) x (+.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (*.f64 x x)) y) (-.f64 t x))) y)))) | |
| 35.6% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))) (/.f64 (-.f64 (+.f64 (fma.f64 #s(literal -1 binary64) x t) (/.f64 (fma.f64 x x (*.f64 (*.f64 #s(literal -1/2 binary64) x) x)) y)) (*.f64 (neg.f64 x) (/.f64 (*.f64 #s(literal -1/2 binary64) x) y))) y)))) | |
| 35.2% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))) (/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (*.f64 x x)) y) (-.f64 (-.f64 t x) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x y)))) y)))) | |
| 42.4% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))) (/.f64 #s(approx (- (+ (+ (* -1 x) t) (/ (+ (* -1/2 (* x x)) (+ (* (* 0 (* t t)) 1/2) (* x x))) y)) (* (neg x) (/ (* -1/2 x) y))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) (fma.f64 (fma.f64 #s(literal -1 binary64) x t) y (*.f64 x x)))) y)) y)))) | |
| ▶ | 43.2% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))) (/.f64 #s(approx (- (+ (+ (* -1 x) t) (/ (+ (* -1/2 (* x x)) (+ (* (* 0 (* t t)) 1/2) (* x x))) y)) (* (neg x) (/ (* -1/2 x) y))) (/.f64 (*.f64 (*.f64 x x) #s(literal 0 binary64)) y)) y)))) |
| 44.0% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))) (/.f64 #s(approx (- (+ (+ (* -1 x) t) (/ (+ (* -1/2 (* x x)) (+ (* (* 0 (* t t)) 1/2) (* x x))) y)) (* (neg x) (/ (* -1/2 x) y))) (neg.f64 x)) y)))) | |
| 42.9% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) | |
| 41.9% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (+.f64 x t)) z x)) | |
| ✓ | 57.5% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) |
| 51.1% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (*.f64 (-.f64 (/.f64 x t) #s(literal 1 binary64)) (neg.f64 t))) z x)) | |
| 56.4% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (*.f64 (-.f64 (/.f64 t x) #s(literal 1 binary64)) x)) z x)) | |
| 54.4% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (neg.f64 x)) z x)) | |
| ▶ | 22.3% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))) |
| 49.2% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (+.f64 #s(approx (+ (* t (/ z x)) (neg z)) (*.f64 (fma.f64 (/.f64 z t) #s(literal -1 binary64) (/.f64 z x)) t)) #s(literal 1 binary64)) x))) | |
| 9.8% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (+ (+ (* t (/ z x)) (neg z)) 1) (/.f64 (*.f64 z t) x)) x))) | |
| ✓ | 13.4% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 z t))) |
| 45.7% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) #s(approx (* (+ (+ (* t (/ z x)) (neg z)) 1) x) (*.f64 (fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) t) z) t)))) | |
| 18.5% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) #s(approx (* (+ (+ (* t (/ z x)) (neg z)) 1) x) (*.f64 (*.f64 (-.f64 (/.f64 t x) #s(literal 1 binary64)) z) x)))) |
Compiled 2 061 to 1 312 computations (36.3% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) | |
| cost-diff | 0 | (*.f64 y z) | |
| cost-diff | 0 | (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) | |
| cost-diff | 1 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) | |
| cost-diff | 0 | (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))) (/.f64 #s(approx (- (+ (+ (* -1 x) t) (/ (+ (* -1/2 (* x x)) (+ (* (* 0 (* t t)) 1/2) (* x x))) y)) (* (neg x) (/ (* -1/2 x) y))) (/.f64 (*.f64 (*.f64 x x) #s(literal 0 binary64)) y)) y))) | |
| cost-diff | 1 | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))) (/.f64 #s(approx (- (+ (+ (* -1 x) t) (/ (+ (* -1/2 (* x x)) (+ (* (* 0 (* t t)) 1/2) (* x x))) y)) (* (neg x) (/ (* -1/2 x) y))) (/.f64 (*.f64 (*.f64 x x) #s(literal 0 binary64)) y)) y)))) | |
| cost-diff | 2 | (/.f64 (*.f64 (*.f64 x x) #s(literal 0 binary64)) y) | |
| cost-diff | 4 | (*.f64 (*.f64 x x) #s(literal 0 binary64)) | |
| cost-diff | 0 | (/.f64 (-.f64 t x) y) | |
| cost-diff | 0 | #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) | |
| cost-diff | 0 | (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) z) | |
| cost-diff | 0 | (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) z) y x) | |
| cost-diff | 0 | (-.f64 t x) | |
| cost-diff | 0 | (*.f64 (-.f64 t x) z) | |
| cost-diff | 0 | #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)) | |
| cost-diff | 0 | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))) | |
| cost-diff | 0 | (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 #s(approx (- 1 (pow (exp -2) (/ x y))) (*.f64 #s(literal 2 binary64) (/.f64 x y))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64))) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (*.f64 y z) | |
| cost-diff | 0 | (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 #s(approx (- 1 (pow (exp -2) (/ x y))) (*.f64 #s(literal 2 binary64) (/.f64 x y))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64))) #s(literal 1 binary64))))) | |
| cost-diff | 1 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 #s(approx (- 1 (pow (exp -2) (/ x y))) (*.f64 #s(literal 2 binary64) (/.f64 x y))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64))) #s(literal 1 binary64)))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 77 | 728 |
| 0 | 106 | 658 |
| 1 | 244 | 594 |
| 2 | 621 | 564 |
| 3 | 1830 | 494 |
| 4 | 5242 | 494 |
| 0 | 8672 | 488 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 #s(approx (- 1 (pow (exp -2) (/ x y))) (*.f64 #s(literal 2 binary64) (/.f64 x y))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64))) #s(literal 1 binary64)))))) |
x |
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 #s(approx (- 1 (pow (exp -2) (/ x y))) (*.f64 #s(literal 2 binary64) (/.f64 x y))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64))) #s(literal 1 binary64))))) |
(*.f64 y z) |
y |
z |
(-.f64 (tanh.f64 (/.f64 t y)) (/.f64 #s(approx (- 1 (pow (exp -2) (/ x y))) (*.f64 #s(literal 2 binary64) (/.f64 x y))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64))) #s(literal 1 binary64)))) |
(tanh.f64 (/.f64 t y)) |
(/.f64 t y) |
t |
(/.f64 #s(approx (- 1 (pow (exp -2) (/ x y))) (*.f64 #s(literal 2 binary64) (/.f64 x y))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64))) #s(literal 1 binary64))) |
#s(approx (- 1 (pow (exp -2) (/ x y))) (*.f64 #s(literal 2 binary64) (/.f64 x y))) |
(*.f64 #s(literal 2 binary64) (/.f64 x y)) |
#s(literal 2 binary64) |
(/.f64 x y) |
(+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (pow (exp -2) (/ x y)) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64))) |
(fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64)) |
#s(literal -2 binary64) |
#s(literal 1 binary64) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))) |
#s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)) |
(*.f64 (-.f64 t x) z) |
(-.f64 t x) |
t |
x |
z |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) z) y x) |
(*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) z) |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) |
(/.f64 (-.f64 t x) y) |
(-.f64 t x) |
t |
x |
y |
z |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))) (/.f64 #s(approx (- (+ (+ (* -1 x) t) (/ (+ (* -1/2 (* x x)) (+ (* (* 0 (* t t)) 1/2) (* x x))) y)) (* (neg x) (/ (* -1/2 x) y))) (/.f64 (*.f64 (*.f64 x x) #s(literal 0 binary64)) y)) y)))) |
x |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))) (/.f64 #s(approx (- (+ (+ (* -1 x) t) (/ (+ (* -1/2 (* x x)) (+ (* (* 0 (* t t)) 1/2) (* x x))) y)) (* (neg x) (/ (* -1/2 x) y))) (/.f64 (*.f64 (*.f64 x x) #s(literal 0 binary64)) y)) y))) |
(*.f64 y z) |
y |
z |
#s(approx (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))) (/.f64 #s(approx (- (+ (+ (* -1 x) t) (/ (+ (* -1/2 (* x x)) (+ (* (* 0 (* t t)) 1/2) (* x x))) y)) (* (neg x) (/ (* -1/2 x) y))) (/.f64 (*.f64 (*.f64 x x) #s(literal 0 binary64)) y)) y)) |
(/.f64 #s(approx (- (+ (+ (* -1 x) t) (/ (+ (* -1/2 (* x x)) (+ (* (* 0 (* t t)) 1/2) (* x x))) y)) (* (neg x) (/ (* -1/2 x) y))) (/.f64 (*.f64 (*.f64 x x) #s(literal 0 binary64)) y)) y) |
#s(approx (- (+ (+ (* -1 x) t) (/ (+ (* -1/2 (* x x)) (+ (* (* 0 (* t t)) 1/2) (* x x))) y)) (* (neg x) (/ (* -1/2 x) y))) (/.f64 (*.f64 (*.f64 x x) #s(literal 0 binary64)) y)) |
(/.f64 (*.f64 (*.f64 x x) #s(literal 0 binary64)) y) |
(*.f64 (*.f64 x x) #s(literal 0 binary64)) |
(*.f64 x x) |
#s(literal 0 binary64) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) |
x |
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) |
(*.f64 y z) |
y |
z |
(-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) |
(tanh.f64 (/.f64 t y)) |
(/.f64 t y) |
t |
#s(approx (tanh (/ x y)) (/.f64 x y)) |
(/.f64 x y) |
| Outputs |
|---|
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 #s(approx (- 1 (pow (exp -2) (/ x y))) (*.f64 #s(literal 2 binary64) (/.f64 x y))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64))) #s(literal 1 binary64)))))) |
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 #s(approx (- 1 (pow (exp -2) (/ x y))) (*.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))) (*.f64 z y) x) |
x |
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 #s(approx (- 1 (pow (exp -2) (/ x y))) (*.f64 #s(literal 2 binary64) (/.f64 x y))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64))) #s(literal 1 binary64))))) |
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 #s(approx (- 1 (pow (exp -2) (/ x y))) (*.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))) (*.f64 z y)) |
(*.f64 y z) |
(*.f64 z y) |
y |
z |
(-.f64 (tanh.f64 (/.f64 t y)) (/.f64 #s(approx (- 1 (pow (exp -2) (/ x y))) (*.f64 #s(literal 2 binary64) (/.f64 x y))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64))) #s(literal 1 binary64)))) |
(-.f64 (tanh.f64 (/.f64 t y)) (/.f64 #s(approx (- 1 (pow (exp -2) (/ x y))) (*.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))) |
(tanh.f64 (/.f64 t y)) |
(/.f64 t y) |
t |
(/.f64 #s(approx (- 1 (pow (exp -2) (/ x y))) (*.f64 #s(literal 2 binary64) (/.f64 x y))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(approx (- 1 (pow (exp -2) (/ x y))) (*.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))) |
#s(approx (- 1 (pow (exp -2) (/ x y))) (*.f64 #s(literal 2 binary64) (/.f64 x y))) |
#s(approx (- 1 (pow (exp -2) (/ x y))) (*.f64 (/.f64 x y) #s(literal 2 binary64))) |
(*.f64 #s(literal 2 binary64) (/.f64 x y)) |
(*.f64 (/.f64 x y) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(/.f64 x y) |
(+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (pow (exp -2) (/ x y)) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64))) |
#s(approx (pow (exp -2) (/ x y)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal 1 binary64))) |
(fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64)) |
(fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal 1 binary64)) |
#s(literal -2 binary64) |
#s(literal 1 binary64) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))) |
#s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)) |
(*.f64 (-.f64 t x) z) |
(-.f64 t x) |
t |
x |
z |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) z) y x) |
(fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 z y) x) |
(*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) z) |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) |
(/.f64 (-.f64 t x) y) |
(-.f64 t x) |
t |
x |
y |
z |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))) (/.f64 #s(approx (- (+ (+ (* -1 x) t) (/ (+ (* -1/2 (* x x)) (+ (* (* 0 (* t t)) 1/2) (* x x))) y)) (* (neg x) (/ (* -1/2 x) y))) (/.f64 (*.f64 (*.f64 x x) #s(literal 0 binary64)) y)) y)))) |
(fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- (+ (+ (* -1 x) t) (/ (+ (* -1/2 (* x x)) (+ (* (* 0 (* t t)) 1/2) (* x x))) y)) (* (neg x) (/ (* -1/2 x) y))) #s(literal 0 binary64)) y)) (*.f64 z y) x) |
x |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))) (/.f64 #s(approx (- (+ (+ (* -1 x) t) (/ (+ (* -1/2 (* x x)) (+ (* (* 0 (* t t)) 1/2) (* x x))) y)) (* (neg x) (/ (* -1/2 x) y))) (/.f64 (*.f64 (*.f64 x x) #s(literal 0 binary64)) y)) y))) |
(*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- (+ (+ (* -1 x) t) (/ (+ (* -1/2 (* x x)) (+ (* (* 0 (* t t)) 1/2) (* x x))) y)) (* (neg x) (/ (* -1/2 x) y))) #s(literal 0 binary64)) y)) (*.f64 z y)) |
(*.f64 y z) |
(*.f64 z y) |
y |
z |
#s(approx (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))) (/.f64 #s(approx (- (+ (+ (* -1 x) t) (/ (+ (* -1/2 (* x x)) (+ (* (* 0 (* t t)) 1/2) (* x x))) y)) (* (neg x) (/ (* -1/2 x) y))) (/.f64 (*.f64 (*.f64 x x) #s(literal 0 binary64)) y)) y)) |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- (+ (+ (* -1 x) t) (/ (+ (* -1/2 (* x x)) (+ (* (* 0 (* t t)) 1/2) (* x x))) y)) (* (neg x) (/ (* -1/2 x) y))) #s(literal 0 binary64)) y)) |
(/.f64 #s(approx (- (+ (+ (* -1 x) t) (/ (+ (* -1/2 (* x x)) (+ (* (* 0 (* t t)) 1/2) (* x x))) y)) (* (neg x) (/ (* -1/2 x) y))) (/.f64 (*.f64 (*.f64 x x) #s(literal 0 binary64)) y)) y) |
(/.f64 #s(approx (- (+ (+ (* -1 x) t) (/ (+ (* -1/2 (* x x)) (+ (* (* 0 (* t t)) 1/2) (* x x))) y)) (* (neg x) (/ (* -1/2 x) y))) #s(literal 0 binary64)) y) |
#s(approx (- (+ (+ (* -1 x) t) (/ (+ (* -1/2 (* x x)) (+ (* (* 0 (* t t)) 1/2) (* x x))) y)) (* (neg x) (/ (* -1/2 x) y))) (/.f64 (*.f64 (*.f64 x x) #s(literal 0 binary64)) y)) |
#s(approx (- (+ (+ (* -1 x) t) (/ (+ (* -1/2 (* x x)) (+ (* (* 0 (* t t)) 1/2) (* x x))) y)) (* (neg x) (/ (* -1/2 x) y))) #s(literal 0 binary64)) |
(/.f64 (*.f64 (*.f64 x x) #s(literal 0 binary64)) y) |
#s(literal 0 binary64) |
(*.f64 (*.f64 x x) #s(literal 0 binary64)) |
#s(literal 0 binary64) |
(*.f64 x x) |
#s(literal 0 binary64) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) |
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 z y) x) |
x |
(*.f64 (*.f64 y z) (-.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))) (*.f64 z y)) |
(*.f64 y z) |
(*.f64 z y) |
y |
z |
(-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) |
(tanh.f64 (/.f64 t y)) |
(/.f64 t y) |
t |
#s(approx (tanh (/ x y)) (/.f64 x y)) |
(/.f64 x y) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0078125 | (tanh.f64 (/.f64 t y)) | |
| accuracy | 0.30344149762103617 | (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) | |
| accuracy | 5.768660029250082 | (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) | |
| accuracy | 18.126418156511114 | #s(approx (tanh (/ x y)) (/.f64 x y)) | |
| accuracy | 5.768660029250082 | (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))) (/.f64 #s(approx (- (+ (+ (* -1 x) t) (/ (+ (* -1/2 (* x x)) (+ (* (* 0 (* t t)) 1/2) (* x x))) y)) (* (neg x) (/ (* -1/2 x) y))) (/.f64 (*.f64 (*.f64 x x) #s(literal 0 binary64)) y)) y))) | |
| accuracy | 8.859325462949307 | (*.f64 (*.f64 x x) #s(literal 0 binary64)) | |
| accuracy | 28.79907114665216 | #s(approx (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))) (/.f64 #s(approx (- (+ (+ (* -1 x) t) (/ (+ (* -1/2 (* x x)) (+ (* (* 0 (* t t)) 1/2) (* x x))) y)) (* (neg x) (/ (* -1/2 x) y))) (/.f64 (*.f64 (*.f64 x x) #s(literal 0 binary64)) y)) y)) | |
| accuracy | 48.069823244840094 | #s(approx (- (+ (+ (* -1 x) t) (/ (+ (* -1/2 (* x x)) (+ (* (* 0 (* t t)) 1/2) (* x x))) y)) (* (neg x) (/ (* -1/2 x) y))) (/.f64 (*.f64 (*.f64 x x) #s(literal 0 binary64)) y)) | |
| accuracy | 0.00390625 | (/.f64 (-.f64 t x) y) | |
| accuracy | 1.0397471917728516 | (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) z) | |
| accuracy | 1.0461057483550953 | (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) z) y x) | |
| accuracy | 28.79907114665216 | #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) | |
| accuracy | 0.0 | (-.f64 t x) | |
| accuracy | 0.00390625 | (*.f64 (-.f64 t x) z) | |
| accuracy | 15.627304575829028 | #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)) | |
| accuracy | 20.8471802825189 | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))) | |
| accuracy | 0.30344149762103617 | (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 #s(approx (- 1 (pow (exp -2) (/ x y))) (*.f64 #s(literal 2 binary64) (/.f64 x y))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64))) #s(literal 1 binary64)))) | |
| accuracy | 5.768660029250082 | (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 #s(approx (- 1 (pow (exp -2) (/ x y))) (*.f64 #s(literal 2 binary64) (/.f64 x y))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64))) #s(literal 1 binary64))))) | |
| accuracy | 18.525711510660667 | #s(approx (- 1 (pow (exp -2) (/ x y))) (*.f64 #s(literal 2 binary64) (/.f64 x y))) | |
| accuracy | 18.794802506304787 | #s(approx (pow (exp -2) (/ x y)) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64))) |
| 214.0ms | 150× | 1 | valid |
| 42.0ms | 36× | 2 | valid |
| 21.0ms | 58× | 0 | exit |
| 4.0ms | 3× | 3 | valid |
| 3.0ms | 9× | 0 | valid |
Compiled 455 to 58 computations (87.3% saved)
adjust: 76.0ms (37% of total)ival-mult: 34.0ms (16.6% of total)ival-pow: 22.0ms (10.7% of total)ival-div: 22.0ms (10.7% of total)ival-add: 21.0ms (10.2% of total)ival-exp: 12.0ms (5.8% of total)ival-sub: 10.0ms (4.9% of total)ival-tanh: 5.0ms (2.4% of total)exact: 1.0ms (0.5% of total)ival-neg: 1.0ms (0.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 #s(approx (- 1 (pow (exp -2) (/ x y))) (*.f64 #s(literal 2 binary64) (/.f64 x y))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64))) #s(literal 1 binary64)))))) |
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 #s(approx (- 1 (pow (exp -2) (/ x y))) (*.f64 #s(literal 2 binary64) (/.f64 x y))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64))) #s(literal 1 binary64))))) |
(*.f64 y z) |
(-.f64 (tanh.f64 (/.f64 t y)) (/.f64 #s(approx (- 1 (pow (exp -2) (/ x y))) (*.f64 #s(literal 2 binary64) (/.f64 x y))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64))) #s(literal 1 binary64)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))) |
#s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)) |
(*.f64 (-.f64 t x) z) |
(-.f64 t x) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) z) y x) |
(*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) z) |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) |
(/.f64 (-.f64 t x) y) |
(*.f64 (*.f64 x x) #s(literal 0 binary64)) |
(/.f64 (*.f64 (*.f64 x x) #s(literal 0 binary64)) y) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))) (/.f64 #s(approx (- (+ (+ (* -1 x) t) (/ (+ (* -1/2 (* x x)) (+ (* (* 0 (* t t)) 1/2) (* x x))) y)) (* (neg x) (/ (* -1/2 x) y))) (/.f64 (*.f64 (*.f64 x x) #s(literal 0 binary64)) y)) y)))) |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))) (/.f64 #s(approx (- (+ (+ (* -1 x) t) (/ (+ (* -1/2 (* x x)) (+ (* (* 0 (* t t)) 1/2) (* x x))) y)) (* (neg x) (/ (* -1/2 x) y))) (/.f64 (*.f64 (*.f64 x x) #s(literal 0 binary64)) y)) y))) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) |
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) |
(-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) |
#s(approx (pow (exp -2) (/ x y)) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64))) |
#s(approx (- 1 (pow (exp -2) (/ x y))) (*.f64 #s(literal 2 binary64) (/.f64 x y))) |
#s(approx (- (+ (+ (* -1 x) t) (/ (+ (* -1/2 (* x x)) (+ (* (* 0 (* t t)) 1/2) (* x x))) y)) (* (neg x) (/ (* -1/2 x) y))) (/.f64 (*.f64 (*.f64 x x) #s(literal 0 binary64)) y)) |
#s(approx (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))) (/.f64 #s(approx (- (+ (+ (* -1 x) t) (/ (+ (* -1/2 (* x x)) (+ (* (* 0 (* t t)) 1/2) (* x x))) y)) (* (neg x) (/ (* -1/2 x) y))) (/.f64 (*.f64 (*.f64 x x) #s(literal 0 binary64)) y)) y)) |
#s(approx (tanh (/ x y)) (/.f64 x y)) |
(tanh.f64 (/.f64 t 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))))))))) |
(+ (* 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)))))))))) |
(+ (* -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)))))))))) |
(- (/ (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))))))) |
(* t z) |
(+ (* t z) (* x (+ 1 (* -1 z)))) |
(+ (* -1 (* x z)) (* t z)) |
t |
(+ t (* -1 x)) |
(* 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 y)) (* 1/3 (/ (* (pow x 2) z) (pow y 3))))) (* 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 y)) (* (pow x 2) (+ (* -2/15 (/ (* (pow x 2) z) (pow y 5))) (* 1/3 (/ z (pow y 3))))))) (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))) |
(/ t y) |
(+ (* -1 (/ x y)) (/ t y)) |
0 |
1 |
(+ 1 (* -2 (/ x y))) |
(+ 1 (* x (- (* 2 (/ x (pow y 2))) (* 2 (/ 1 y))))) |
(+ 1 (* x (- (* x (+ (* -4/3 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y))))) |
(* 2 (/ x y)) |
(* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) |
(* x (+ (* x (- (* 4/3 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) |
(* x (+ (* x (- (* x (+ (* -2/3 (/ x (pow y 4))) (* 4/3 (/ 1 (pow y 3))))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) |
(/ x y) |
(* x (+ (* -1/3 (/ (pow x 2) (pow y 3))) (/ 1 y))) |
(* x (+ (* (pow x 2) (- (* 2/15 (/ (pow x 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) |
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -17/315 (/ (pow x 2) (pow y 7))) (* 2/15 (/ 1 (pow y 5))))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) |
x |
(* x (+ 1 (/ (* y (* z (- (+ (/ (exp (* -2 (/ x y))) (+ 1 (exp (* -2 (/ x y))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (+ 1 (exp (* -2 (/ x y))))))))) x))) |
(* y (* z (- (+ (/ (exp (* -2 (/ x y))) (+ 1 (exp (* -2 (/ x y))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (+ 1 (exp (* -2 (/ x y))))))))) |
(- (+ (/ (exp (* -2 (/ x y))) (+ 1 (exp (* -2 (/ x y))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (+ 1 (exp (* -2 (/ x y))))))) |
(* x (+ 1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x))) |
(* x (+ 1 (* -1 z))) |
(* x (+ 1 (+ (* -1 z) (/ (* t z) x)))) |
(* -1 (* x z)) |
(* x (+ (* -1 z) (/ (* t z) x))) |
(* -1 x) |
(* x (- (/ t x) 1)) |
(* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(* -1 (/ x y)) |
(* x (- (/ t (* x y)) (/ 1 y))) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(exp (* -2 (/ x y))) |
(- 1 (exp (* -2 (/ x y)))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ (exp (* -2 (/ x y))) (+ 1 (exp (* -2 (/ x y))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (+ 1 (exp (* -2 (/ x y))))))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
(* -1 (* x (- z 1))) |
(* -1 (* x (- (+ z (* -1 (/ (* t z) x))) 1))) |
(* -1 (* x (+ z (* -1 (/ (* t z) x))))) |
(* -1 (* x (+ 1 (* -1 (/ t x))))) |
(* -1 (* x (+ (* -1 (/ t (* x y))) (/ 1 y)))) |
(+ x (* y (* z (- (+ (/ (exp (* -2 (/ x y))) (+ 1 (exp (* -2 (/ x y))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (+ 1 (exp (* -2 (/ x y)))))))))) |
(* y z) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(/ (- t x) y) |
(/ (- (+ (* -1/2 (pow x 2)) (pow x 2)) (* 1/2 (pow x 2))) y) |
(/ (- (+ (* -1/2 (pow x 2)) (+ (* y (+ t (* -1 x))) (pow x 2))) (* 1/2 (pow x 2))) y) |
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(+ x (* z (+ t (* -1 x)))) |
(+ x (+ (* z (+ t (* -1 x))) (/ (* z (- (+ (* -1/2 (pow x 2)) (+ (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (pow x 2))) (* -1 (* x (- (* -1 x) (* -1/2 x)))))) y))) |
(+ x (+ (* z (+ t (* -1 x))) (+ (/ (* z (- (+ (* -2/3 (pow x 3)) (+ (* 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)) (* x (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2))))))) (+ (* -1 (* x (- (pow x 2) (+ (* -1 (* x (- (* -1 x) (* -1/2 x)))) (* 1/2 (pow x 2)))))) (+ (* 1/2 (pow t 3)) (* (pow x 2) (- (* -1 x) (* -1/2 x))))))) (pow y 2)) (/ (* z (- (+ (* -1/2 (pow x 2)) (+ (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (pow x 2))) (* -1 (* x (- (* -1 x) (* -1/2 x)))))) y)))) |
(+ x (+ (* z (+ t (* -1 x))) (+ (/ (* z (- (+ (* -1 (* (pow x 2) (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/3 (pow x 4)) (+ (* 1/3 (pow x 4)) (+ (* 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)))))) (* x (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2))))))))))) (+ (* -1 (* x (- (* -2/3 (pow x 3)) (+ (* -1 (* x (- (pow x 2) (+ (* -1 (* x (- (* -1 x) (* -1/2 x)))) (* 1/2 (pow x 2)))))) (+ (* -1/3 (pow x 3)) (* (pow x 2) (- (* -1 x) (* -1/2 x)))))))) (+ (* -2/3 (* (pow x 3) (- (* -1 x) (* -1/2 x)))) (+ (* -1/2 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (* -1/2 (pow t 3))))) (+ (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2)))) (* (pow x 2) (- (pow x 2) (+ (* -1 (* x (- (* -1 x) (* -1/2 x)))) (* 1/2 (pow x 2))))))))))) (pow y 3)) (+ (/ (* z (- (+ (* -2/3 (pow x 3)) (+ (* 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)) (* x (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2))))))) (+ (* -1 (* x (- (pow x 2) (+ (* -1 (* x (- (* -1 x) (* -1/2 x)))) (* 1/2 (pow x 2)))))) (+ (* 1/2 (pow t 3)) (* (pow x 2) (- (* -1 x) (* -1/2 x))))))) (pow y 2)) (/ (* z (- (+ (* -1/2 (pow x 2)) (+ (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (pow x 2))) (* -1 (* x (- (* -1 x) (* -1/2 x)))))) y))))) |
(* z (+ t (* -1 x))) |
(+ (* z (+ t (* -1 x))) (/ (* z (- (+ (* -1/2 (pow x 2)) (+ (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (pow x 2))) (* -1 (* x (- (* -1 x) (* -1/2 x)))))) y)) |
(+ (* z (+ t (* -1 x))) (+ (/ (* z (- (+ (* -2/3 (pow x 3)) (+ (* 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)) (* x (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2))))))) (+ (* -1 (* x (- (pow x 2) (+ (* -1 (* x (- (* -1 x) (* -1/2 x)))) (* 1/2 (pow x 2)))))) (+ (* 1/2 (pow t 3)) (* (pow x 2) (- (* -1 x) (* -1/2 x))))))) (pow y 2)) (/ (* z (- (+ (* -1/2 (pow x 2)) (+ (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (pow x 2))) (* -1 (* x (- (* -1 x) (* -1/2 x)))))) y))) |
(+ (* z (+ t (* -1 x))) (+ (/ (* z (- (+ (* -1 (* (pow x 2) (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/3 (pow x 4)) (+ (* 1/3 (pow x 4)) (+ (* 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)))))) (* x (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2))))))))))) (+ (* -1 (* x (- (* -2/3 (pow x 3)) (+ (* -1 (* x (- (pow x 2) (+ (* -1 (* x (- (* -1 x) (* -1/2 x)))) (* 1/2 (pow x 2)))))) (+ (* -1/3 (pow x 3)) (* (pow x 2) (- (* -1 x) (* -1/2 x)))))))) (+ (* -2/3 (* (pow x 3) (- (* -1 x) (* -1/2 x)))) (+ (* -1/2 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (* -1/2 (pow t 3))))) (+ (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2)))) (* (pow x 2) (- (pow x 2) (+ (* -1 (* x (- (* -1 x) (* -1/2 x)))) (* 1/2 (pow x 2))))))))))) (pow y 3)) (+ (/ (* z (- (+ (* -2/3 (pow x 3)) (+ (* 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)) (* x (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2))))))) (+ (* -1 (* x (- (pow x 2) (+ (* -1 (* x (- (* -1 x) (* -1/2 x)))) (* 1/2 (pow x 2)))))) (+ (* 1/2 (pow t 3)) (* (pow x 2) (- (* -1 x) (* -1/2 x))))))) (pow y 2)) (/ (* z (- (+ (* -1/2 (pow x 2)) (+ (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (pow x 2))) (* -1 (* x (- (* -1 x) (* -1/2 x)))))) y)))) |
(/ (+ t (* -1 x)) y) |
(/ (- (+ t (+ (* -1 x) (+ (* -1/2 (/ (pow x 2) y)) (+ (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y)) (/ (pow x 2) y))))) (* -1 (/ (* x (- (* -1 x) (* -1/2 x))) y))) y) |
(/ (- (+ t (+ (* -1 x) (+ (* -2/3 (/ (pow x 3) (pow y 2))) (+ (* -1/2 (/ (pow x 2) y)) (+ (* 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 (pow x 2)) (* 1/2 (pow x 2)))) (pow y 2)) (/ (pow x 2) y))))))))) (+ (* -1 (/ (* x (- (* -1 x) (* -1/2 x))) y)) (+ (* -1 (/ (* x (- (pow x 2) (+ (* -1 (* x (- (* -1 x) (* -1/2 x)))) (* 1/2 (pow x 2))))) (pow y 2))) (+ (* 1/2 (/ (pow t 3) (pow y 2))) (/ (* (pow x 2) (- (* -1 x) (* -1/2 x))) (pow y 2)))))) y) |
(/ (- (+ t (+ (* -1 x) (+ (* -1 (/ (* (pow x 2) (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2)))) (pow y 3))) (+ (* -2/3 (/ (pow x 3) (pow y 2))) (+ (* -1/2 (/ (pow x 2) y)) (+ (* -1/3 (/ (pow x 4) (pow y 3))) (+ (* 1/3 (/ (pow x 4) (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 (pow x 2)) (* 1/2 (pow x 2)))) (pow y 2)) (+ (/ (* x (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2))))))) (pow y 3)) (/ (pow x 2) y)))))))))))))) (+ (* -1 (/ (* x (- (* -1 x) (* -1/2 x))) y)) (+ (* -1 (/ (* x (- (* -2/3 (pow x 3)) (+ (* -1 (* x (- (pow x 2) (+ (* -1 (* x (- (* -1 x) (* -1/2 x)))) (* 1/2 (pow x 2)))))) (+ (* -1/3 (pow x 3)) (* (pow x 2) (- (* -1 x) (* -1/2 x))))))) (pow y 3))) (+ (* -1 (/ (* x (- (pow x 2) (+ (* -1 (* x (- (* -1 x) (* -1/2 x)))) (* 1/2 (pow x 2))))) (pow y 2))) (+ (* -2/3 (/ (* (pow x 3) (- (* -1 x) (* -1/2 x))) (pow y 3))) (+ (* -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))) (+ (/ (* (pow x 2) (- (* -1 x) (* -1/2 x))) (pow y 2)) (/ (* (pow x 2) (- (pow x 2) (+ (* -1 (* x (- (* -1 x) (* -1/2 x)))) (* 1/2 (pow x 2))))) (pow y 3))))))))))) y) |
(+ x (* z (- t x))) |
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(* -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)) |
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(+ 1 (* -1 (/ (+ (* -2 (/ (pow x 2) y)) (* 2 x)) y))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (pow x 3) y)) (* 2 (pow x 2))) y)) (* 2 x)) y))) |
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(* -1 (/ (- (* -1 (/ (- (* 4/3 (/ (pow x 3) y)) (* 2 (pow x 2))) y)) (* 2 x)) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2/3 (/ (pow x 4) y)) (* 4/3 (pow x 3))) y)) (* 2 (pow x 2))) y)) (* 2 x)) y)) |
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(* -1 (/ (+ (* -1 x) (* -1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) y)) |
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(* z (- (+ t (/ x z)) x)) |
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(* -1 (* z (+ (* -1 (- t x)) (* -1 (/ x z))))) |
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(+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ (exp (* -2 (/ x y))) (+ 1 (exp (* -2 (/ x y))))) (/ 1 (+ 1 (exp (* -2 (/ x y))))))))) |
(+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ (exp (* -2 (/ x y))) (+ 1 (exp (* -2 (/ x y))))) (/ 1 (+ 1 (exp (* -2 (/ x y))))))))) |
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(+ x (* -1 (* x z))) |
(+ x (+ (* -1 (* x z)) (* t z))) |
(- t x) |
(* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
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(- (+ (* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(- (+ (* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) |
(+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(- (+ (* -1 x) (+ (* -1/2 (/ (pow x 2) y)) (/ (pow x 2) y))) (* 1/2 (/ (pow x 2) y))) |
(* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y))) |
(* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) |
(* t (+ (* (pow t 2) (- (* (pow t 2) (+ (* -17/315 (/ (pow t 2) (pow y 7))) (* 2/15 (/ 1 (pow y 5))))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) |
(* t (+ z (+ (* -1 (/ (* x z) t)) (/ x t)))) |
(* t (+ z (* -1 (/ (* x z) t)))) |
(* t (+ 1 (* -1 (/ x t)))) |
(* t (+ (* -1 (/ x (* t y))) (/ 1 y))) |
(* t (- (+ 1 (+ (* -1 (/ x t)) (+ (* -1/2 (/ (pow x 2) (* t y))) (/ (pow x 2) (* t y))))) (* 1/2 (/ (pow x 2) (* t y))))) |
(* -1 (* t (+ (* -1 z) (* -1 (/ (+ x (* -1 (* x z))) t))))) |
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(* -1 (* t (- (/ x t) 1))) |
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(* -1 (* t (- (* -1 (/ (- (+ (* -1 x) (+ (* -1/2 (/ (pow x 2) y)) (/ (pow x 2) y))) (* 1/2 (/ (pow x 2) y))) t)) 1))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 17.0ms | z | @ | 0 | ((+ x (* (* y z) (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))))) (* (* y z) (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1)))) (* y z) (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (* (- t x) z) (- t x) (+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) z) y) x) (* (- (tanh (/ t y)) (tanh (/ x y))) z) (- (tanh (/ t y)) (tanh (/ x y))) (/ (- t x) y) (* (* x x) 0) (/ (* (* x x) 0) y) (+ x (* (* y z) (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))))) (* (* y z) (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1)))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (- (tanh (/ t y)) (tanh (/ x y))) (pow (exp -2) (/ x y)) (- 1 (pow (exp -2) (/ x y))) (- (+ (+ (* -1 x) t) (/ (+ (* -1/2 (* x x)) (+ (* (* 0 (* t t)) 1/2) (* x x))) y)) (* (neg x) (/ (* -1/2 x) y))) (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))) (tanh (/ x y)) (tanh (/ t y))) |
| 13.0ms | t | @ | -inf | ((+ x (* (* y z) (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))))) (* (* y z) (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1)))) (* y z) (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (* (- t x) z) (- t x) (+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) z) y) x) (* (- (tanh (/ t y)) (tanh (/ x y))) z) (- (tanh (/ t y)) (tanh (/ x y))) (/ (- t x) y) (* (* x x) 0) (/ (* (* x x) 0) y) (+ x (* (* y z) (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))))) (* (* y z) (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1)))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (- (tanh (/ t y)) (tanh (/ x y))) (pow (exp -2) (/ x y)) (- 1 (pow (exp -2) (/ x y))) (- (+ (+ (* -1 x) t) (/ (+ (* -1/2 (* x x)) (+ (* (* 0 (* t t)) 1/2) (* x x))) y)) (* (neg x) (/ (* -1/2 x) y))) (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))) (tanh (/ x y)) (tanh (/ t y))) |
| 13.0ms | z | @ | -inf | ((+ x (* (* y z) (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))))) (* (* y z) (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1)))) (* y z) (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (* (- t x) z) (- t x) (+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) z) y) x) (* (- (tanh (/ t y)) (tanh (/ x y))) z) (- (tanh (/ t y)) (tanh (/ x y))) (/ (- t x) y) (* (* x x) 0) (/ (* (* x x) 0) y) (+ x (* (* y z) (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))))) (* (* y z) (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1)))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (- (tanh (/ t y)) (tanh (/ x y))) (pow (exp -2) (/ x y)) (- 1 (pow (exp -2) (/ x y))) (- (+ (+ (* -1 x) t) (/ (+ (* -1/2 (* x x)) (+ (* (* 0 (* t t)) 1/2) (* x x))) y)) (* (neg x) (/ (* -1/2 x) y))) (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))) (tanh (/ x y)) (tanh (/ t y))) |
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| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1023 | 10142 |
| 1 | 3663 | 9413 |
| 0 | 8211 | 8950 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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(+ 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))) |
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(* -1 (/ (* z (- (* -1 t) (* -1 x))) y)) |
(* -1 (/ (+ (* -1 (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y)) (* z (- (* -1 t) (* -1 x)))) y)) |
(* -1 (/ (+ (* -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)))))))))) y)) (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))))) y)) (* z (- (* -1 t) (* -1 x)))) y)) |
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(* -1 (/ (- (* -1 t) (* -1 x)) y)) |
(* -1 (/ (- (+ (* -1 t) (* -1 (/ (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) (* -1 x)) y)) |
(* -1 (/ (- (+ (* -1 t) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (pow x 3)) (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))))) (+ (* -1/2 (pow t 3)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))) y)) (* 1/2 (+ (* -1 (pow t 2)) (pow t 2)))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) (* -1 x)) y)) |
(* -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)) |
(* -1 (* z (- (* -1 t) (* -1 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)) |
(+ (* -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))) |
(+ (* -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))) |
(+ 1 (* -1 (/ (+ (* -2 (/ (pow x 2) y)) (* 2 x)) y))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (pow x 3) y)) (* 2 (pow x 2))) y)) (* 2 x)) y))) |
(* -1 (/ (- (* 2 (/ (pow x 2) y)) (* 2 x)) y)) |
(* -1 (/ (- (* -1 (/ (- (* 4/3 (/ (pow x 3) y)) (* 2 (pow x 2))) y)) (* 2 x)) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2/3 (/ (pow x 4) y)) (* 4/3 (pow x 3))) y)) (* 2 (pow x 2))) y)) (* 2 x)) y)) |
(+ t (+ (* -1 x) (* -1 (/ (- (* -1 (+ (* -1/2 (pow x 2)) (pow x 2))) (* -1/2 (pow x 2))) y)))) |
(* -1 (/ (+ (* -1 x) (* -1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (- (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) (* -1/2 (pow x 3))) y)) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (+ (* 1/12 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))))) (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (* 1/2 (* x (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))) y)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))) (* -1/2 (pow x 3))) y)) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) y)) |
(* -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)) |
(* z (+ (* y (- (+ (/ (exp (* -2 (/ x y))) (+ 1 (exp (* -2 (/ x y))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (+ 1 (exp (* -2 (/ x y)))))))) (/ x z))) |
(* z (+ (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (/ x z))) |
(* z (- (+ t (/ x z)) x)) |
(* -1 (* z (+ (* -1 (* y (- (+ (/ (exp (* -2 (/ x y))) (+ 1 (exp (* -2 (/ x y))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (+ 1 (exp (* -2 (/ x y))))))))) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 (- t x)) (* -1 (/ x z))))) |
(+ x (* y (* z (- (/ (exp (* -2 (/ x y))) (+ 1 (exp (* -2 (/ x y))))) (/ 1 (+ 1 (exp (* -2 (/ x y))))))))) |
(+ x (+ (* t z) (* y (* z (- (/ (exp (* -2 (/ x y))) (+ 1 (exp (* -2 (/ x y))))) (/ 1 (+ 1 (exp (* -2 (/ x y)))))))))) |
(+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ (exp (* -2 (/ x y))) (+ 1 (exp (* -2 (/ x y))))) (/ 1 (+ 1 (exp (* -2 (/ 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 (- (/ (exp (* -2 (/ x y))) (+ 1 (exp (* -2 (/ x y))))) (/ 1 (+ 1 (exp (* -2 (/ x y)))))))))) |
(* y (* z (- (/ (exp (* -2 (/ x y))) (+ 1 (exp (* -2 (/ x y))))) (/ 1 (+ 1 (exp (* -2 (/ x y)))))))) |
(+ (* t z) (* y (* z (- (/ (exp (* -2 (/ x y))) (+ 1 (exp (* -2 (/ x y))))) (/ 1 (+ 1 (exp (* -2 (/ x y))))))))) |
(+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ (exp (* -2 (/ x y))) (+ 1 (exp (* -2 (/ x y))))) (/ 1 (+ 1 (exp (* -2 (/ x y))))))))) |
(+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ (exp (* -2 (/ x y))) (+ 1 (exp (* -2 (/ x y))))) (/ 1 (+ 1 (exp (* -2 (/ x y))))))))) |
(- (/ (exp (* -2 (/ x y))) (+ 1 (exp (* -2 (/ x y))))) (/ 1 (+ 1 (exp (* -2 (/ x y)))))) |
(- (+ (/ t y) (/ (exp (* -2 (/ x y))) (+ 1 (exp (* -2 (/ x y)))))) (/ 1 (+ 1 (exp (* -2 (/ x y)))))) |
(- (+ (* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y))) (/ (exp (* -2 (/ x y))) (+ 1 (exp (* -2 (/ x y)))))) (/ 1 (+ 1 (exp (* -2 (/ x y)))))) |
(- (+ (* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) (/ (exp (* -2 (/ x y))) (+ 1 (exp (* -2 (/ x y)))))) (/ 1 (+ 1 (exp (* -2 (/ x y)))))) |
(+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (* -1 (* x z))) |
(+ x (+ (* -1 (* x z)) (* t z))) |
(- t x) |
(* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x 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)) |
(+ (* t (+ (* -1/3 (/ (* (pow t 2) z) (pow y 3))) (/ z y))) (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) |
(+ (* t (+ (* (pow t 2) (+ (* -1/3 (/ z (pow y 3))) (* 2/15 (/ (* (pow t 2) z) (pow y 5))))) (/ z y))) (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) |
(- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y)) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(- (+ (* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(- (+ (* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) |
(+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(- (+ (* -1 x) (+ (* -1/2 (/ (pow x 2) y)) (/ (pow x 2) y))) (* 1/2 (/ (pow x 2) y))) |
(* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y))) |
(* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) |
(* t (+ (* (pow t 2) (- (* (pow t 2) (+ (* -17/315 (/ (pow t 2) (pow y 7))) (* 2/15 (/ 1 (pow y 5))))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) |
(* t (+ z (+ (* -1 (/ (* x z) t)) (/ x t)))) |
(* t (+ z (* -1 (/ (* x z) t)))) |
(* t (+ 1 (* -1 (/ x t)))) |
(* t (+ (* -1 (/ x (* t y))) (/ 1 y))) |
(* t (- (+ 1 (+ (* -1 (/ x t)) (+ (* -1/2 (/ (pow x 2) (* t y))) (/ (pow x 2) (* t y))))) (* 1/2 (/ (pow x 2) (* t y))))) |
(* -1 (* t (+ (* -1 z) (* -1 (/ (+ x (* -1 (* x z))) t))))) |
(* -1 (* t (+ (* -1 z) (/ (* x z) t)))) |
(* -1 (* t (- (/ x t) 1))) |
(* -1 (* t (- (/ x (* t y)) (/ 1 y)))) |
(* -1 (* t (- (* -1 (/ (- (+ (* -1 x) (+ (* -1/2 (/ (pow x 2) y)) (/ (pow x 2) y))) (* 1/2 (/ (pow x 2) y))) t)) 1))) |
| 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 z y) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 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)))))))))) |
(fma.f64 (*.f64 z y) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (*.f64 (fma.f64 #s(literal -1 binary64) z #s(literal 1 binary64)) 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 z y) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (*.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 (*.f64 (*.f64 x x) z) y) (neg.f64 z)) #s(literal 1 binary64)) 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 z y) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (*.f64 (+.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 z y) (/.f64 (*.f64 #s(literal -2/15 binary64) (*.f64 (*.f64 x x) z)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 x x) (neg.f64 z)) #s(literal 1 binary64)) x)) |
(+ (* -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)))))))))) |
(fma.f64 (*.f64 z y) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (*.f64 (neg.f64 z) x)) |
(+ (* 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)))))))))) |
(fma.f64 (*.f64 z y) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 (*.f64 (*.f64 x x) z) y) (neg.f64 z)) x)) |
(+ (* 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)))))))))) |
(fma.f64 (*.f64 z y) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 z y) (/.f64 (*.f64 #s(literal -2/15 binary64) (*.f64 (*.f64 x x) z)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 x x) (neg.f64 z)) x)) |
(- (/ (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 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 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))))))) |
(fma.f64 #s(literal -1 binary64) (/.f64 x y) (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 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))))))) |
(fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) y)) x (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 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))))))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 (*.f64 x x) (pow.f64 y #s(literal 5 binary64))) #s(literal -2/15 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) y)) x (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) |
(* t z) |
(*.f64 t z) |
(+ (* t z) (* x (+ 1 (* -1 z)))) |
(fma.f64 (fma.f64 #s(literal -1 binary64) z #s(literal 1 binary64)) x (*.f64 t z)) |
(+ (* -1 (* x z)) (* t z)) |
(*.f64 (fma.f64 #s(literal -1 binary64) x t) z) |
t |
(+ t (* -1 x)) |
(fma.f64 #s(literal -1 binary64) x t) |
(* 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 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) z) |
(+ (* -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))))))))) |
(fma.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) z (/.f64 (*.f64 (neg.f64 z) x) y)) |
(+ (* x (+ (* -1 (/ z y)) (* 1/3 (/ (* (pow x 2) z) (pow y 3))))) (* 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 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) z (*.f64 (fma.f64 (*.f64 (*.f64 x x) (/.f64 z (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/3 binary64) (/.f64 (neg.f64 z) y)) x)) |
(+ (* x (+ (* -1 (/ z y)) (* (pow x 2) (+ (* -2/15 (/ (* (pow x 2) z) (pow y 5))) (* 1/3 (/ z (pow y 3))))))) (* 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 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) z (*.f64 (fma.f64 (fma.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))) #s(literal 1/3 binary64) (/.f64 (*.f64 #s(literal -2/15 binary64) (*.f64 (*.f64 x x) z)) (pow.f64 y #s(literal 5 binary64)))) (*.f64 x x) (/.f64 (neg.f64 z) y)) x)) |
(/ t y) |
(/.f64 t y) |
(+ (* -1 (/ x y)) (/ t y)) |
(/.f64 (fma.f64 #s(literal -1 binary64) x t) y) |
0 |
#s(literal 0 binary64) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -2 (/ x y))) |
(fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal 1 binary64)) |
(+ 1 (* x (- (* 2 (/ x (pow y 2))) (* 2 (/ 1 y))))) |
(fma.f64 (-.f64 (*.f64 (/.f64 x (*.f64 y y)) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) y)) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (+ (* -4/3 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y))))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal -4/3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 y y))) x) (/.f64 #s(literal 2 binary64) y)) x #s(literal 1 binary64)) |
(* 2 (/ x y)) |
(*.f64 #s(literal 2 binary64) (/.f64 x y)) |
(* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) |
(*.f64 (fma.f64 (/.f64 x (*.f64 y y)) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) y)) x) |
(* x (+ (* x (- (* 4/3 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 4/3 binary64) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 2 binary64) (*.f64 y y))) x (/.f64 #s(literal 2 binary64) y)) x) |
(* x (+ (* x (- (* x (+ (* -2/3 (/ x (pow y 4))) (* 4/3 (/ 1 (pow y 3))))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal -2/3 binary64) (/.f64 #s(literal 4/3 binary64) (pow.f64 y #s(literal 3 binary64)))) x) (/.f64 #s(literal 2 binary64) (*.f64 y y))) x (/.f64 #s(literal 2 binary64) y)) x) |
(/ x y) |
(/.f64 x y) |
(* x (+ (* -1/3 (/ (pow x 2) (pow y 3))) (/ 1 y))) |
(*.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) y)) x) |
(* x (+ (* (pow x 2) (- (* 2/15 (/ (pow x 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) |
(*.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) (pow.f64 y #s(literal 5 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 x x) (/.f64 #s(literal 1 binary64) y)) x) |
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -17/315 (/ (pow x 2) (pow y 7))) (* 2/15 (/ 1 (pow y 5))))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) |
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 (*.f64 x x) (pow.f64 y #s(literal 7 binary64))) #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (pow.f64 y #s(literal 5 binary64)))) (*.f64 x x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 x x) (/.f64 #s(literal 1 binary64) y)) x) |
x |
(* x (+ 1 (/ (* y (* z (- (+ (/ (exp (* -2 (/ x y))) (+ 1 (exp (* -2 (/ x y))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (+ 1 (exp (* -2 (/ x y))))))))) x))) |
(*.f64 (fma.f64 y (/.f64 (*.f64 (-.f64 (-.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) #s(literal 1 binary64)))) z) x) #s(literal 1 binary64)) x) |
(* y (* z (- (+ (/ (exp (* -2 (/ x y))) (+ 1 (exp (* -2 (/ x y))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (+ 1 (exp (* -2 (/ x y))))))))) |
(*.f64 (*.f64 z y) (-.f64 (-.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) #s(literal 1 binary64))))) |
(- (+ (/ (exp (* -2 (/ x y))) (+ 1 (exp (* -2 (/ x y))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (+ 1 (exp (* -2 (/ x y))))))) |
(-.f64 (-.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) #s(literal 1 binary64)))) |
(* 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))) |
(*.f64 (fma.f64 y (/.f64 (*.f64 (-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) z) x) #s(literal 1 binary64)) x) |
(* x (+ 1 (* -1 z))) |
(*.f64 (fma.f64 #s(literal -1 binary64) z #s(literal 1 binary64)) x) |
(* x (+ 1 (+ (* -1 z) (/ (* t z) x)))) |
(*.f64 (+.f64 (fma.f64 t (/.f64 z x) (neg.f64 z)) #s(literal 1 binary64)) x) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
(* x (+ (* -1 z) (/ (* t z) x))) |
(*.f64 (fma.f64 t (/.f64 z x) (neg.f64 z)) x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ t x) 1)) |
(*.f64 (-.f64 (/.f64 t x) #s(literal 1 binary64)) x) |
(* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) |
(*.f64 (-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) z) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* x (- (/ t (* x y)) (/ 1 y))) |
(*.f64 (-.f64 (/.f64 (/.f64 t x) y) (/.f64 #s(literal 1 binary64) y)) x) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(*.f64 (*.f64 z y) (-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))) |
(exp (* -2 (/ x y))) |
(pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) |
(- 1 (exp (* -2 (/ x y)))) |
(-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))) |
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ (exp (* -2 (/ x y))) (+ 1 (exp (* -2 (/ x y))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ 1 (+ 1 (exp (* -2 (/ x y))))))))) x)) 1))) |
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(* t (+ 1 (* -1 (/ x t)))) |
(*.f64 (fma.f64 (/.f64 x t) #s(literal -1 binary64) #s(literal 1 binary64)) t) |
(* t (+ (* -1 (/ x (* t y))) (/ 1 y))) |
(*.f64 (fma.f64 (/.f64 (/.f64 x t) y) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) t) |
(* t (- (+ 1 (+ (* -1 (/ x t)) (+ (* -1/2 (/ (pow x 2) (* t y))) (/ (pow x 2) (* t y))))) (* 1/2 (/ (pow x 2) (* t y))))) |
(*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) t) (/.f64 (*.f64 x x) y) (/.f64 (neg.f64 x) t)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) (/.f64 (*.f64 x x) y))) t) |
(* -1 (* t (+ (* -1 z) (* -1 (/ (+ x (* -1 (* x z))) t))))) |
(*.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 z) x x) t) z)) (neg.f64 t)) |
(* -1 (* t (+ (* -1 z) (/ (* x z) t)))) |
(*.f64 (fma.f64 x (/.f64 z t) (neg.f64 z)) (neg.f64 t)) |
(* -1 (* t (- (/ x t) 1))) |
(*.f64 (-.f64 (/.f64 x t) #s(literal 1 binary64)) (neg.f64 t)) |
(* -1 (* t (- (/ x (* t y)) (/ 1 y)))) |
(*.f64 (-.f64 (/.f64 (/.f64 x t) y) (/.f64 #s(literal 1 binary64) y)) (neg.f64 t)) |
(* -1 (* t (- (* -1 (/ (- (+ (* -1 x) (+ (* -1/2 (/ (pow x 2) y)) (/ (pow x 2) y))) (* 1/2 (/ (pow x 2) y))) t)) 1))) |
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 0 binary64)) y)) (neg.f64 t)) #s(literal 1 binary64)) (neg.f64 t)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 77 | 578 |
| 0 | 107 | 481 |
| 1 | 503 | 453 |
| 2 | 4222 | 453 |
| 0 | 8209 | 443 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 #s(approx (- 1 (pow (exp -2) (/ x y))) (*.f64 #s(literal 2 binary64) (/.f64 x y))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64))) #s(literal 1 binary64)))))) |
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 #s(approx (- 1 (pow (exp -2) (/ x y))) (*.f64 #s(literal 2 binary64) (/.f64 x y))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64))) #s(literal 1 binary64))))) |
(*.f64 y z) |
(-.f64 (tanh.f64 (/.f64 t y)) (/.f64 #s(approx (- 1 (pow (exp -2) (/ x y))) (*.f64 #s(literal 2 binary64) (/.f64 x y))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64))) #s(literal 1 binary64)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))) |
#s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)) |
(*.f64 (-.f64 t x) z) |
(-.f64 t x) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) z) y x) |
(*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) z) |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) |
(/.f64 (-.f64 t x) y) |
(*.f64 (*.f64 x x) #s(literal 0 binary64)) |
(/.f64 (*.f64 (*.f64 x x) #s(literal 0 binary64)) y) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))) (/.f64 #s(approx (- (+ (+ (* -1 x) t) (/ (+ (* -1/2 (* x x)) (+ (* (* 0 (* t t)) 1/2) (* x x))) y)) (* (neg x) (/ (* -1/2 x) y))) (/.f64 (*.f64 (*.f64 x x) #s(literal 0 binary64)) y)) y)))) |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))) (/.f64 #s(approx (- (+ (+ (* -1 x) t) (/ (+ (* -1/2 (* x x)) (+ (* (* 0 (* t t)) 1/2) (* x x))) y)) (* (neg x) (/ (* -1/2 x) y))) (/.f64 (*.f64 (*.f64 x x) #s(literal 0 binary64)) y)) y))) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) |
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) |
(-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) |
#s(approx (pow (exp -2) (/ x y)) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64))) |
#s(approx (- 1 (pow (exp -2) (/ x y))) (*.f64 #s(literal 2 binary64) (/.f64 x y))) |
#s(approx (- (+ (+ (* -1 x) t) (/ (+ (* -1/2 (* x x)) (+ (* (* 0 (* t t)) 1/2) (* x x))) y)) (* (neg x) (/ (* -1/2 x) y))) (/.f64 (*.f64 (*.f64 x x) #s(literal 0 binary64)) y)) |
#s(approx (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))) (/.f64 #s(approx (- (+ (+ (* -1 x) t) (/ (+ (* -1/2 (* x x)) (+ (* (* 0 (* t t)) 1/2) (* x x))) y)) (* (neg x) (/ (* -1/2 x) y))) (/.f64 (*.f64 (*.f64 x x) #s(literal 0 binary64)) y)) y)) |
#s(approx (tanh (/ x y)) (/.f64 x y)) |
(tanh.f64 (/.f64 t y)) |
| Outputs |
|---|
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 #s(approx (- 1 (pow (exp -2) (/ x y))) (*.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))) (*.f64 z y)) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 #s(approx (- 1 (pow (exp -2) (/ x y))) (*.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))) (*.f64 z y)) x)) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 y) z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 #s(approx (- 1 (pow (exp -2) (/ x y))) (*.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))))) #s(literal 3 binary64))) (fma.f64 x x (+.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 #s(approx (- 1 (pow (exp -2) (/ x y))) (*.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))) (*.f64 z y)) #s(literal 2 binary64)) (*.f64 x (*.f64 (*.f64 (neg.f64 y) z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 #s(approx (- 1 (pow (exp -2) (/ x y))) (*.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 #s(approx (- 1 (pow (exp -2) (/ x y))) (*.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))) (*.f64 z y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 #s(approx (- 1 (pow (exp -2) (/ x y))) (*.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))) (*.f64 z y))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 #s(approx (- 1 (pow (exp -2) (/ x y))) (*.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))) (*.f64 z y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 #s(approx (- 1 (pow (exp -2) (/ x y))) (*.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))) (*.f64 z y)) (-.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 #s(approx (- 1 (pow (exp -2) (/ x y))) (*.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))) (*.f64 z y)) x) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 #s(approx (- 1 (pow (exp -2) (/ x y))) (*.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))) (*.f64 z y)) #s(literal 2 binary64))) (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 #s(approx (- 1 (pow (exp -2) (/ x y))) (*.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))) (*.f64 z y)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 #s(approx (- 1 (pow (exp -2) (/ x y))) (*.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))) (*.f64 z y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 #s(approx (- 1 (pow (exp -2) (/ x y))) (*.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))) (*.f64 z y)) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 z y)) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 #s(approx (- 1 (pow (exp -2) (/ x y))) (*.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 #s(approx (- 1 (pow (exp -2) (/ x y))) (*.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))) (*.f64 z y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 #s(approx (- 1 (pow (exp -2) (/ x y))) (*.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))) (*.f64 z y)) (-.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 #s(approx (- 1 (pow (exp -2) (/ x y))) (*.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))) (*.f64 z y)) x) (*.f64 x x))) |
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64) (*.f64 (neg.f64 (*.f64 (neg.f64 y) z)) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 #s(approx (- 1 (pow (exp -2) (/ x y))) (*.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))))) |
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64) (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 #s(approx (- 1 (pow (exp -2) (/ x y))) (*.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))) (*.f64 z y))) |
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 #s(approx (- 1 (pow (exp -2) (/ x y))) (*.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))) y) z x) |
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 #s(approx (- 1 (pow (exp -2) (/ x y))) (*.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))) z) y x) |
(fma.f64 (neg.f64 x) #s(literal -1 binary64) (*.f64 (neg.f64 (*.f64 (neg.f64 y) z)) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 #s(approx (- 1 (pow (exp -2) (/ x y))) (*.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))))) |
(fma.f64 (neg.f64 x) #s(literal -1 binary64) (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 #s(approx (- 1 (pow (exp -2) (/ x y))) (*.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))) (*.f64 z y))) |
(fma.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (neg.f64 y) z)) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 #s(approx (- 1 (pow (exp -2) (/ x y))) (*.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))))) |
(fma.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 #s(approx (- 1 (pow (exp -2) (/ x y))) (*.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))) (*.f64 z y))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 (neg.f64 (*.f64 (neg.f64 y) z)) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 #s(approx (- 1 (pow (exp -2) (/ x y))) (*.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 #s(approx (- 1 (pow (exp -2) (/ x y))) (*.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))) (*.f64 z y))) |
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 #s(approx (- 1 (pow (exp -2) (/ x y))) (*.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))) (*.f64 z y) x) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (neg.f64 (*.f64 (neg.f64 y) z)) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 #s(approx (- 1 (pow (exp -2) (/ x y))) (*.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))))) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 #s(approx (- 1 (pow (exp -2) (/ x y))) (*.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))) (*.f64 z y))) |
(fma.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 #s(approx (- 1 (pow (exp -2) (/ x y))) (*.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))) x) |
(fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 #s(approx (- 1 (pow (exp -2) (/ x y))) (*.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))))) x) |
(fma.f64 y (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 #s(approx (- 1 (pow (exp -2) (/ x y))) (*.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))) z) x) |
(fma.f64 x #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 (neg.f64 y) z)) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 #s(approx (- 1 (pow (exp -2) (/ x y))) (*.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))))) |
(fma.f64 x #s(literal 1 binary64) (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 #s(approx (- 1 (pow (exp -2) (/ x y))) (*.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))) (*.f64 z y))) |
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(*.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) |
(*.f64 y (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) z)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (pow.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(literal 2 binary64))) (*.f64 z y)) (+.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (tanh.f64 (/.f64 t y)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (pow.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(literal 3 binary64))) (*.f64 z y)) (fma.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (+.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (tanh.f64 (/.f64 t y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (*.f64 z y) (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (pow.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(literal 2 binary64)))) (+.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (tanh.f64 (/.f64 t y)))) |
(/.f64 (*.f64 (*.f64 z y) (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (pow.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(literal 3 binary64)))) (fma.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (+.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (tanh.f64 (/.f64 t 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 2 binary64)) (pow.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (tanh.f64 (/.f64 t y))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (pow.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (+.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (tanh.f64 (/.f64 t y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (pow.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(literal 2 binary64))) (+.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (tanh.f64 (/.f64 t y)))) |
(/.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (pow.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(literal 3 binary64))) (fma.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (+.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (tanh.f64 (/.f64 t y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (+.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (tanh.f64 (/.f64 t y)))) (/.f64 (pow.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(literal 2 binary64)) (+.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (tanh.f64 (/.f64 t 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 #s(approx (tanh (/ x y)) (/.f64 x y)) (tanh.f64 (/.f64 t y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(literal 3 binary64)) (fma.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (+.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (tanh.f64 (/.f64 t y))) (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 #s(approx (pow (exp -2) (/ x y)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) #s(approx (pow (exp -2) (/ x y)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal 1 binary64)))) |
#s(approx (pow (exp -2) (/ x y)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal 1 binary64))) |
#s(approx (- 1 (pow (exp -2) (/ x y))) (*.f64 (/.f64 x y) #s(literal 2 binary64))) |
#s(approx (- (+ (+ (* -1 x) t) (/ (+ (* -1/2 (* x x)) (+ (* (* 0 (* t t)) 1/2) (* x x))) y)) (* (neg x) (/ (* -1/2 x) y))) #s(literal 0 binary64)) |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- (+ (+ (* -1 x) t) (/ (+ (* -1/2 (* x x)) (+ (* (* 0 (* t t)) 1/2) (* x x))) y)) (* (neg x) (/ (* -1/2 x) y))) #s(literal 0 binary64)) y)) |
#s(approx (tanh (/ x y)) (/.f64 x y)) |
(tanh.f64 (/.f64 t y)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y)))) (neg.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (/.f64 t y)))) (neg.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 t y)) #s(literal 1 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 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y))) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y)) #s(literal 1 binary64))) |
(/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (/.f64 t y))) (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 t y)) #s(literal 1 binary64))) |
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))) |
(-.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y)) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y)) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 t y)) (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 t y)) #s(literal 1 binary64))) (pow.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 t y)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 (/.f64 (exp.f64 (/.f64 t y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))) (/.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))))) |
Compiled 28 283 to 2 286 computations (91.9% saved)
35 alts after pruning (31 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 463 | 17 | 480 |
| Fresh | 7 | 14 | 21 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 3 | 3 |
| Total | 474 | 35 | 509 |
| Status | Accuracy | Program |
|---|---|---|
| 68.3% | (fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) z (*.f64 (neg.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))) (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 x y)) #s(literal 1 binary64)))) z)) y x) | |
| 65.4% | (fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) z (*.f64 (neg.f64 #s(approx (tanh (/ x y)) (/.f64 x y))) z)) y x) | |
| 60.6% | (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 z y) x) | |
| 61.6% | (fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) x) | |
| 76.4% | (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 #s(approx (- 1 (pow (exp -2) (/ x y))) (*.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))) z) y x) | |
| ✓ | 96.4% | (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) |
| 66.2% | (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) | |
| 61.0% | (fma.f64 (*.f64 (+.f64 (-.f64 (tanh.f64 (/.f64 t y)) (pow.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) #s(literal 1 binary64)))) z) y x) | |
| 48.2% | (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x) | |
| 32.1% | (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 (+.f64 t x) y))) z) y x) | |
| 62.5% | (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- (+ (+ (* -1 x) t) (/ (+ (* -1/2 (* x x)) (+ (* (* 0 (* t t)) 1/2) (* x x))) y)) (* (neg x) (/ (* -1/2 x) y))) #s(literal 0 binary64)) y)) z) y x) | |
| 43.7% | (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (*.f64 (-.f64 (/.f64 x t) #s(literal 1 binary64)) (neg.f64 t))) y)) z) y x) | |
| 47.1% | (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)) z) y x) | |
| 52.0% | (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) z) y x) | |
| 42.9% | (fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x) | |
| 59.2% | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y))) (+.f64 #s(approx (pow (exp -2) (/ x y)) #s(literal 1 binary64)) #s(literal 1 binary64)))))) | |
| 63.2% | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 x y))))))) | |
| 68.7% | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 #s(approx (- 1 (pow (exp -2) (/ x y))) (*.f64 #s(literal 2 binary64) (/.f64 x y))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 (-.f64 (*.f64 (/.f64 x (*.f64 y y)) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) y)) x #s(literal 1 binary64))) #s(literal 1 binary64)))))) | |
| 44.7% | (+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 t t)) y) #s(literal 1/2 binary64) t) y)) (/.f64 #s(approx (- 1 (pow (exp -2) (/ x y))) (*.f64 #s(literal 2 binary64) (/.f64 x y))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64))) #s(literal 1 binary64)))))) | |
| 28.0% | (+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (/.f64 x y)) (cosh.f64 (/.f64 x y))))))) | |
| 30.8% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) x (+.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (*.f64 x x)) y) (-.f64 t x))) y)))) | |
| 35.6% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))) (/.f64 (-.f64 (+.f64 (fma.f64 #s(literal -1 binary64) x t) (/.f64 (fma.f64 x x (*.f64 (*.f64 #s(literal -1/2 binary64) x) x)) y)) (*.f64 (neg.f64 x) (/.f64 (*.f64 #s(literal -1/2 binary64) x) y))) y)))) | |
| 35.2% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))) (/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (*.f64 x x)) y) (-.f64 (-.f64 t x) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x y)))) y)))) | |
| 42.4% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))) (/.f64 #s(approx (- (+ (+ (* -1 x) t) (/ (+ (* -1/2 (* x x)) (+ (* (* 0 (* t t)) 1/2) (* x x))) y)) (* (neg x) (/ (* -1/2 x) y))) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (fma.f64 (fma.f64 #s(literal -1 binary64) x t) y (*.f64 x x)))) y)) y)))) | |
| ✓ | 57.5% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) |
| 54.4% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (neg.f64 x)) z x)) | |
| ✓ | 22.3% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))) |
| 49.2% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (+.f64 #s(approx (+ (* t (/ z x)) (neg z)) (*.f64 (fma.f64 (/.f64 z t) #s(literal -1 binary64) (/.f64 z x)) t)) #s(literal 1 binary64)) x))) | |
| 21.5% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- t x) (*.f64 (-.f64 (/.f64 x t) #s(literal 1 binary64)) (neg.f64 t))) z))) | |
| 21.2% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- t x) (*.f64 (-.f64 (/.f64 t x) #s(literal 1 binary64)) x)) z))) | |
| 12.4% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- t x) (neg.f64 x)) z))) | |
| 9.8% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (+ (+ (* t (/ z x)) (neg z)) 1) (/.f64 (*.f64 z t) x)) x))) | |
| ✓ | 13.4% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 z t))) |
| 16.1% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) #s(approx (* (- t x) z) (*.f64 (fma.f64 (neg.f64 x) (/.f64 z t) z) t)))) | |
| 18.5% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) #s(approx (* (+ (+ (* t (/ z x)) (neg z)) 1) x) (*.f64 (*.f64 (-.f64 (/.f64 t x) #s(literal 1 binary64)) z) x)))) |
Compiled 3 207 to 1 144 computations (64.3% saved)
| Inputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 z t))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- t x) (neg.f64 x)) z))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (neg.f64 x)) z x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (+ (+ (* t (/ z x)) (neg z)) 1) (/.f64 (*.f64 z t) x)) x))) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) z) y x) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- (+ (+ (* -1 x) t) (/ (+ (* -1/2 (* x x)) (+ (* (* 0 (* t t)) 1/2) (* x x))) y)) (* (neg x) (/ (* -1/2 x) y))) #s(literal 0 binary64)) y)) z) y x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) #s(approx (* (+ (+ (* t (/ z x)) (neg z)) 1) x) (*.f64 (*.f64 (-.f64 (/.f64 t x) #s(literal 1 binary64)) z) x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) #s(approx (* (- t x) z) (*.f64 (fma.f64 (neg.f64 x) (/.f64 z t) z) t)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- t x) (*.f64 (-.f64 (/.f64 t x) #s(literal 1 binary64)) x)) z))) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)) z) y x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) #s(approx (* (+ (+ (* t (/ z x)) (neg z)) 1) x) (*.f64 (fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) t) z) t)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (*.f64 (-.f64 (/.f64 t x) #s(literal 1 binary64)) x)) z x)) |
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) z) y x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- t x) (*.f64 (-.f64 (/.f64 x t) #s(literal 1 binary64)) (neg.f64 t))) z))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))) (/.f64 #s(approx (- (+ (+ (* -1 x) t) (/ (+ (* -1/2 (* x x)) (+ (* (* 0 (* t t)) 1/2) (* x x))) y)) (* (neg x) (/ (* -1/2 x) y))) (neg.f64 x)) y)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (+.f64 (fma.f64 t (/.f64 z x) (neg.f64 z)) #s(literal 1 binary64)) x))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (*.f64 (-.f64 (/.f64 x t) #s(literal 1 binary64)) (neg.f64 t))) z 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 (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (+.f64 x t)) z x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (+.f64 #s(approx (+ (* t (/ z x)) (neg z)) (*.f64 (fma.f64 (/.f64 z t) #s(literal -1 binary64) (/.f64 z x)) t)) #s(literal 1 binary64)) x))) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 (+.f64 t x) y))) z) y x) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (*.f64 (-.f64 (/.f64 x t) #s(literal 1 binary64)) (neg.f64 t))) y)) z) y x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))) (/.f64 #s(approx (- (+ (+ (* -1 x) t) (/ (+ (* -1/2 (* x x)) (+ (* (* 0 (* t t)) 1/2) (* x x))) y)) (* (neg x) (/ (* -1/2 x) y))) (/.f64 (*.f64 (*.f64 x x) #s(literal 0 binary64)) y)) y)))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))) (/.f64 #s(approx (- (+ (+ (* -1 x) t) (/ (+ (* -1/2 (* x x)) (+ (* (* 0 (* t t)) 1/2) (* x x))) y)) (* (neg x) (/ (* -1/2 x) y))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) (fma.f64 (fma.f64 #s(literal -1 binary64) x t) y (*.f64 x x)))) y)) y)))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))) (/.f64 #s(approx (- (+ (+ (* -1 x) t) (/ (+ (* -1/2 (* x x)) (+ (* (* 0 (* t t)) 1/2) (* x x))) y)) (* (neg x) (/ (* -1/2 x) y))) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (fma.f64 (fma.f64 #s(literal -1 binary64) x t) y (*.f64 x x)))) y)) y)))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) x (+.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (*.f64 x x)) y) (-.f64 t x))) y)))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))) (/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (*.f64 x x)) y) (-.f64 (-.f64 t x) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x y)))) y)))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))) (/.f64 (-.f64 (+.f64 (fma.f64 #s(literal -1 binary64) x t) (/.f64 (fma.f64 x x (*.f64 (*.f64 #s(literal -1/2 binary64) x) x)) y)) (*.f64 (neg.f64 x) (/.f64 (*.f64 #s(literal -1/2 binary64) x) y))) y)))) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 t t)) y) #s(literal 1/2 binary64) t) y)) (/.f64 #s(approx (- 1 (pow (exp -2) (/ x y))) (*.f64 #s(literal 2 binary64) (/.f64 x y))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64))) #s(literal 1 binary64)))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))) (/.f64 (-.f64 (+.f64 (fma.f64 #s(literal -1 binary64) x t) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) (fma.f64 (*.f64 #s(literal 0 binary64) (*.f64 t t)) #s(literal 1/2 binary64) (*.f64 x x))) y)) (*.f64 (neg.f64 x) (/.f64 (*.f64 #s(literal -1/2 binary64) x) y))) y)))) |
(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 z y) x) |
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 z y) x) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) |
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) z (*.f64 (neg.f64 #s(approx (tanh (/ x y)) (/.f64 x y))) z)) y x) |
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 #s(approx (- 1 (pow (exp -2) (/ x y))) (*.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))) z) y x) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 #s(approx (- 1 (pow (exp -2) (/ x y))) (*.f64 #s(literal 2 binary64) (/.f64 x y))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64))) #s(literal 1 binary64)))))) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 #s(approx (- 1 (pow (exp -2) (/ x y))) (*.f64 #s(literal 2 binary64) (/.f64 x y))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 (-.f64 (*.f64 (/.f64 x (*.f64 y y)) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) y)) x #s(literal 1 binary64))) #s(literal 1 binary64)))))) |
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) z (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) z)) y x) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (/.f64 x y)) (cosh.f64 (/.f64 x y))))))) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y))) (+.f64 #s(approx (pow (exp -2) (/ x y)) #s(literal 1 binary64)) #s(literal 1 binary64)))))) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (/.f64 x y)) (cosh.f64 (/.f64 x y))))))) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64))) #s(literal 1 binary64)))))) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) (-.f64 (/.f64 (*.f64 x x) y) x)) y) #s(literal -1 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))))) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 x y))))))) |
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) z (*.f64 (neg.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))) (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 x y)) #s(literal 1 binary64)))) z)) y x) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y))) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) #s(literal 1 binary64)))))) |
(fma.f64 (*.f64 (+.f64 (-.f64 (tanh.f64 (/.f64 t y)) (pow.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) #s(literal 1 binary64)))) z) y x) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y))) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 x y)))) (*.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y)) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))) (*.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 x y))))))) |
| Outputs |
|---|
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) z (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) z)) y x) |
5 calls:
| 29.0ms | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 23.0ms | y |
| 17.0ms | t |
| 14.0ms | z |
| 14.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.4% | 1 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 96.4% | 1 | x |
| 96.4% | 1 | y |
| 96.4% | 1 | z |
| 96.4% | 1 | t |
Compiled 19 to 28 computations (-47.4% saved)
| Inputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 z t))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- t x) (neg.f64 x)) z))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (neg.f64 x)) z x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (+ (+ (* t (/ z x)) (neg z)) 1) (/.f64 (*.f64 z t) x)) x))) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) z) y x) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- (+ (+ (* -1 x) t) (/ (+ (* -1/2 (* x x)) (+ (* (* 0 (* t t)) 1/2) (* x x))) y)) (* (neg x) (/ (* -1/2 x) y))) #s(literal 0 binary64)) y)) z) y x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) #s(approx (* (+ (+ (* t (/ z x)) (neg z)) 1) x) (*.f64 (*.f64 (-.f64 (/.f64 t x) #s(literal 1 binary64)) z) x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) #s(approx (* (- t x) z) (*.f64 (fma.f64 (neg.f64 x) (/.f64 z t) z) t)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- t x) (*.f64 (-.f64 (/.f64 t x) #s(literal 1 binary64)) x)) z))) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)) z) y x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) #s(approx (* (+ (+ (* t (/ z x)) (neg z)) 1) x) (*.f64 (fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) t) z) t)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (*.f64 (-.f64 (/.f64 t x) #s(literal 1 binary64)) x)) z x)) |
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) z) y x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- t x) (*.f64 (-.f64 (/.f64 x t) #s(literal 1 binary64)) (neg.f64 t))) z))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))) (/.f64 #s(approx (- (+ (+ (* -1 x) t) (/ (+ (* -1/2 (* x x)) (+ (* (* 0 (* t t)) 1/2) (* x x))) y)) (* (neg x) (/ (* -1/2 x) y))) (neg.f64 x)) y)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (+.f64 (fma.f64 t (/.f64 z x) (neg.f64 z)) #s(literal 1 binary64)) x))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (*.f64 (-.f64 (/.f64 x t) #s(literal 1 binary64)) (neg.f64 t))) z 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 (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (+.f64 x t)) z x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (+.f64 #s(approx (+ (* t (/ z x)) (neg z)) (*.f64 (fma.f64 (/.f64 z t) #s(literal -1 binary64) (/.f64 z x)) t)) #s(literal 1 binary64)) x))) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 (+.f64 t x) y))) z) y x) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (*.f64 (-.f64 (/.f64 x t) #s(literal 1 binary64)) (neg.f64 t))) y)) z) y x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))) (/.f64 #s(approx (- (+ (+ (* -1 x) t) (/ (+ (* -1/2 (* x x)) (+ (* (* 0 (* t t)) 1/2) (* x x))) y)) (* (neg x) (/ (* -1/2 x) y))) (/.f64 (*.f64 (*.f64 x x) #s(literal 0 binary64)) y)) y)))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))) (/.f64 #s(approx (- (+ (+ (* -1 x) t) (/ (+ (* -1/2 (* x x)) (+ (* (* 0 (* t t)) 1/2) (* x x))) y)) (* (neg x) (/ (* -1/2 x) y))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) (fma.f64 (fma.f64 #s(literal -1 binary64) x t) y (*.f64 x x)))) y)) y)))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))) (/.f64 #s(approx (- (+ (+ (* -1 x) t) (/ (+ (* -1/2 (* x x)) (+ (* (* 0 (* t t)) 1/2) (* x x))) y)) (* (neg x) (/ (* -1/2 x) y))) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (fma.f64 (fma.f64 #s(literal -1 binary64) x t) y (*.f64 x x)))) y)) y)))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) x (+.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (*.f64 x x)) y) (-.f64 t x))) y)))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))) (/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (*.f64 x x)) y) (-.f64 (-.f64 t x) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x y)))) y)))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))) (/.f64 (-.f64 (+.f64 (fma.f64 #s(literal -1 binary64) x t) (/.f64 (fma.f64 x x (*.f64 (*.f64 #s(literal -1/2 binary64) x) x)) y)) (*.f64 (neg.f64 x) (/.f64 (*.f64 #s(literal -1/2 binary64) x) y))) y)))) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 t t)) y) #s(literal 1/2 binary64) t) y)) (/.f64 #s(approx (- 1 (pow (exp -2) (/ x y))) (*.f64 #s(literal 2 binary64) (/.f64 x y))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64))) #s(literal 1 binary64)))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))) (/.f64 (-.f64 (+.f64 (fma.f64 #s(literal -1 binary64) x t) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) (fma.f64 (*.f64 #s(literal 0 binary64) (*.f64 t t)) #s(literal 1/2 binary64) (*.f64 x x))) y)) (*.f64 (neg.f64 x) (/.f64 (*.f64 #s(literal -1/2 binary64) x) y))) y)))) |
(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 z y) x) |
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 z y) x) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) |
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) z (*.f64 (neg.f64 #s(approx (tanh (/ x y)) (/.f64 x y))) z)) y x) |
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 #s(approx (- 1 (pow (exp -2) (/ x y))) (*.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))) z) y x) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 #s(approx (- 1 (pow (exp -2) (/ x y))) (*.f64 #s(literal 2 binary64) (/.f64 x y))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64))) #s(literal 1 binary64)))))) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 #s(approx (- 1 (pow (exp -2) (/ x y))) (*.f64 #s(literal 2 binary64) (/.f64 x y))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 (-.f64 (*.f64 (/.f64 x (*.f64 y y)) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) y)) x #s(literal 1 binary64))) #s(literal 1 binary64)))))) |
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y 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))) z) y x) |
5 calls:
| 25.0ms | x |
| 14.0ms | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 14.0ms | z |
| 11.0ms | t |
| 11.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.4% | 1 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 96.4% | 1 | y |
| 96.4% | 1 | z |
| 96.4% | 1 | t |
| 96.4% | 1 | x |
Compiled 19 to 28 computations (-47.4% saved)
| Inputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 z t))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- t x) (neg.f64 x)) z))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (neg.f64 x)) z x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (+ (+ (* t (/ z x)) (neg z)) 1) (/.f64 (*.f64 z t) x)) x))) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) z) y x) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- (+ (+ (* -1 x) t) (/ (+ (* -1/2 (* x x)) (+ (* (* 0 (* t t)) 1/2) (* x x))) y)) (* (neg x) (/ (* -1/2 x) y))) #s(literal 0 binary64)) y)) z) y x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) #s(approx (* (+ (+ (* t (/ z x)) (neg z)) 1) x) (*.f64 (*.f64 (-.f64 (/.f64 t x) #s(literal 1 binary64)) z) x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) #s(approx (* (- t x) z) (*.f64 (fma.f64 (neg.f64 x) (/.f64 z t) z) t)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- t x) (*.f64 (-.f64 (/.f64 t x) #s(literal 1 binary64)) x)) z))) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)) z) y x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) #s(approx (* (+ (+ (* t (/ z x)) (neg z)) 1) x) (*.f64 (fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) t) z) t)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (*.f64 (-.f64 (/.f64 t x) #s(literal 1 binary64)) x)) z x)) |
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) z) y x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- t x) (*.f64 (-.f64 (/.f64 x t) #s(literal 1 binary64)) (neg.f64 t))) z))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))) (/.f64 #s(approx (- (+ (+ (* -1 x) t) (/ (+ (* -1/2 (* x x)) (+ (* (* 0 (* t t)) 1/2) (* x x))) y)) (* (neg x) (/ (* -1/2 x) y))) (neg.f64 x)) y)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (+.f64 (fma.f64 t (/.f64 z x) (neg.f64 z)) #s(literal 1 binary64)) x))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (*.f64 (-.f64 (/.f64 x t) #s(literal 1 binary64)) (neg.f64 t))) z 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 (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (+.f64 x t)) z x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (+.f64 #s(approx (+ (* t (/ z x)) (neg z)) (*.f64 (fma.f64 (/.f64 z t) #s(literal -1 binary64) (/.f64 z x)) t)) #s(literal 1 binary64)) x))) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 (+.f64 t x) y))) z) y x) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (*.f64 (-.f64 (/.f64 x t) #s(literal 1 binary64)) (neg.f64 t))) y)) z) y x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))) (/.f64 #s(approx (- (+ (+ (* -1 x) t) (/ (+ (* -1/2 (* x x)) (+ (* (* 0 (* t t)) 1/2) (* x x))) y)) (* (neg x) (/ (* -1/2 x) y))) (/.f64 (*.f64 (*.f64 x x) #s(literal 0 binary64)) y)) y)))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))) (/.f64 #s(approx (- (+ (+ (* -1 x) t) (/ (+ (* -1/2 (* x x)) (+ (* (* 0 (* t t)) 1/2) (* x x))) y)) (* (neg x) (/ (* -1/2 x) y))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) (fma.f64 (fma.f64 #s(literal -1 binary64) x t) y (*.f64 x x)))) y)) y)))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))) (/.f64 #s(approx (- (+ (+ (* -1 x) t) (/ (+ (* -1/2 (* x x)) (+ (* (* 0 (* t t)) 1/2) (* x x))) y)) (* (neg x) (/ (* -1/2 x) y))) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (fma.f64 (fma.f64 #s(literal -1 binary64) x t) y (*.f64 x x)))) y)) y)))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) x (+.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (*.f64 x x)) y) (-.f64 t x))) y)))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))) (/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (*.f64 x x)) y) (-.f64 (-.f64 t x) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x y)))) y)))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))) (/.f64 (-.f64 (+.f64 (fma.f64 #s(literal -1 binary64) x t) (/.f64 (fma.f64 x x (*.f64 (*.f64 #s(literal -1/2 binary64) x) x)) y)) (*.f64 (neg.f64 x) (/.f64 (*.f64 #s(literal -1/2 binary64) x) y))) y)))) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 t t)) y) #s(literal 1/2 binary64) t) y)) (/.f64 #s(approx (- 1 (pow (exp -2) (/ x y))) (*.f64 #s(literal 2 binary64) (/.f64 x y))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64))) #s(literal 1 binary64)))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))) (/.f64 (-.f64 (+.f64 (fma.f64 #s(literal -1 binary64) x t) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) (fma.f64 (*.f64 #s(literal 0 binary64) (*.f64 t t)) #s(literal 1/2 binary64) (*.f64 x x))) y)) (*.f64 (neg.f64 x) (/.f64 (*.f64 #s(literal -1/2 binary64) x) y))) y)))) |
(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 z y) x) |
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 z y) x) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) |
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) z (*.f64 (neg.f64 #s(approx (tanh (/ x y)) (/.f64 x y))) z)) y x) |
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 #s(approx (- 1 (pow (exp -2) (/ x y))) (*.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))) z) y x) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 #s(approx (- 1 (pow (exp -2) (/ x y))) (*.f64 #s(literal 2 binary64) (/.f64 x y))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64))) #s(literal 1 binary64)))))) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 #s(approx (- 1 (pow (exp -2) (/ x y))) (*.f64 #s(literal 2 binary64) (/.f64 x y))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 (-.f64 (*.f64 (/.f64 x (*.f64 y y)) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) y)) x #s(literal 1 binary64))) #s(literal 1 binary64)))))) |
| Outputs |
|---|
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- (+ (+ (* -1 x) t) (/ (+ (* -1/2 (* x x)) (+ (* (* 0 (* t t)) 1/2) (* x x))) y)) (* (neg x) (/ (* -1/2 x) y))) #s(literal 0 binary64)) y)) z) y x) |
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 #s(approx (- 1 (pow (exp -2) (/ x y))) (*.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))) z) y x) |
(fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) x) |
5 calls:
| 49.0ms | x |
| 25.0ms | z |
| 11.0ms | t |
| 11.0ms | y |
| 11.0ms | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.4% | 4 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 85.4% | 3 | y |
| 79.8% | 3 | z |
| 81.6% | 3 | t |
| 86.7% | 3 | x |
Compiled 19 to 28 computations (-47.4% saved)
| Inputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 z t))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- t x) (neg.f64 x)) z))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (neg.f64 x)) z x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (+ (+ (* t (/ z x)) (neg z)) 1) (/.f64 (*.f64 z t) x)) x))) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) z) y x) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- (+ (+ (* -1 x) t) (/ (+ (* -1/2 (* x x)) (+ (* (* 0 (* t t)) 1/2) (* x x))) y)) (* (neg x) (/ (* -1/2 x) y))) #s(literal 0 binary64)) y)) z) y x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) #s(approx (* (+ (+ (* t (/ z x)) (neg z)) 1) x) (*.f64 (*.f64 (-.f64 (/.f64 t x) #s(literal 1 binary64)) z) x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) #s(approx (* (- t x) z) (*.f64 (fma.f64 (neg.f64 x) (/.f64 z t) z) t)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- t x) (*.f64 (-.f64 (/.f64 t x) #s(literal 1 binary64)) x)) z))) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)) z) y x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) #s(approx (* (+ (+ (* t (/ z x)) (neg z)) 1) x) (*.f64 (fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) t) z) t)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (*.f64 (-.f64 (/.f64 t x) #s(literal 1 binary64)) x)) z x)) |
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) z) y x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- t x) (*.f64 (-.f64 (/.f64 x t) #s(literal 1 binary64)) (neg.f64 t))) z))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))) (/.f64 #s(approx (- (+ (+ (* -1 x) t) (/ (+ (* -1/2 (* x x)) (+ (* (* 0 (* t t)) 1/2) (* x x))) y)) (* (neg x) (/ (* -1/2 x) y))) (neg.f64 x)) y)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (+.f64 (fma.f64 t (/.f64 z x) (neg.f64 z)) #s(literal 1 binary64)) x))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (*.f64 (-.f64 (/.f64 x t) #s(literal 1 binary64)) (neg.f64 t))) z 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 (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (+.f64 x t)) z x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (+.f64 #s(approx (+ (* t (/ z x)) (neg z)) (*.f64 (fma.f64 (/.f64 z t) #s(literal -1 binary64) (/.f64 z x)) t)) #s(literal 1 binary64)) x))) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 (+.f64 t x) y))) z) y x) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (*.f64 (-.f64 (/.f64 x t) #s(literal 1 binary64)) (neg.f64 t))) y)) z) y x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))) (/.f64 #s(approx (- (+ (+ (* -1 x) t) (/ (+ (* -1/2 (* x x)) (+ (* (* 0 (* t t)) 1/2) (* x x))) y)) (* (neg x) (/ (* -1/2 x) y))) (/.f64 (*.f64 (*.f64 x x) #s(literal 0 binary64)) y)) y)))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))) (/.f64 #s(approx (- (+ (+ (* -1 x) t) (/ (+ (* -1/2 (* x x)) (+ (* (* 0 (* t t)) 1/2) (* x x))) y)) (* (neg x) (/ (* -1/2 x) y))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) (fma.f64 (fma.f64 #s(literal -1 binary64) x t) y (*.f64 x x)))) y)) y)))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))) (/.f64 #s(approx (- (+ (+ (* -1 x) t) (/ (+ (* -1/2 (* x x)) (+ (* (* 0 (* t t)) 1/2) (* x x))) y)) (* (neg x) (/ (* -1/2 x) y))) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (fma.f64 (fma.f64 #s(literal -1 binary64) x t) y (*.f64 x x)))) y)) y)))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) x (+.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (*.f64 x x)) y) (-.f64 t x))) y)))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))) (/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (*.f64 x x)) y) (-.f64 (-.f64 t x) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x y)))) y)))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))) (/.f64 (-.f64 (+.f64 (fma.f64 #s(literal -1 binary64) x t) (/.f64 (fma.f64 x x (*.f64 (*.f64 #s(literal -1/2 binary64) x) x)) y)) (*.f64 (neg.f64 x) (/.f64 (*.f64 #s(literal -1/2 binary64) x) y))) y)))) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 t t)) y) #s(literal 1/2 binary64) t) y)) (/.f64 #s(approx (- 1 (pow (exp -2) (/ x y))) (*.f64 #s(literal 2 binary64) (/.f64 x y))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64))) #s(literal 1 binary64)))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))) (/.f64 (-.f64 (+.f64 (fma.f64 #s(literal -1 binary64) x t) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) (fma.f64 (*.f64 #s(literal 0 binary64) (*.f64 t t)) #s(literal 1/2 binary64) (*.f64 x x))) y)) (*.f64 (neg.f64 x) (/.f64 (*.f64 #s(literal -1/2 binary64) x) y))) y)))) |
(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 z y) x) |
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 z y) x) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) |
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) z (*.f64 (neg.f64 #s(approx (tanh (/ x y)) (/.f64 x y))) z)) y x) |
| Outputs |
|---|
(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)) (tanh (/ x y))) (/.f64 #s(approx (- (+ (+ (* -1 x) t) (/ (+ (* -1/2 (* x x)) (+ (* (* 0 (* t t)) 1/2) (* x x))) y)) (* (neg x) (/ (* -1/2 x) y))) #s(literal 0 binary64)) y)) z) y x) |
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) |
3 calls:
| 10.0ms | x |
| 10.0ms | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 10.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.8% | 5 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 82.3% | 3 | y |
| 82.1% | 3 | x |
Compiled 17 to 20 computations (-17.6% saved)
| Inputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 z t))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- t x) (neg.f64 x)) z))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (neg.f64 x)) z x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (+ (+ (* t (/ z x)) (neg z)) 1) (/.f64 (*.f64 z t) x)) x))) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) z) y x) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- (+ (+ (* -1 x) t) (/ (+ (* -1/2 (* x x)) (+ (* (* 0 (* t t)) 1/2) (* x x))) y)) (* (neg x) (/ (* -1/2 x) y))) #s(literal 0 binary64)) y)) z) y x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) #s(approx (* (+ (+ (* t (/ z x)) (neg z)) 1) x) (*.f64 (*.f64 (-.f64 (/.f64 t x) #s(literal 1 binary64)) z) x)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) #s(approx (* (- t x) z) (*.f64 (fma.f64 (neg.f64 x) (/.f64 z t) z) t)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- t x) (*.f64 (-.f64 (/.f64 t x) #s(literal 1 binary64)) x)) z))) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)) z) y x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) #s(approx (* (+ (+ (* t (/ z x)) (neg z)) 1) x) (*.f64 (fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) t) z) t)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (*.f64 (-.f64 (/.f64 t x) #s(literal 1 binary64)) x)) z x)) |
(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) z) y x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- t x) (*.f64 (-.f64 (/.f64 x t) #s(literal 1 binary64)) (neg.f64 t))) z))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))) (/.f64 #s(approx (- (+ (+ (* -1 x) t) (/ (+ (* -1/2 (* x x)) (+ (* (* 0 (* t t)) 1/2) (* x x))) y)) (* (neg x) (/ (* -1/2 x) y))) (neg.f64 x)) y)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (+.f64 (fma.f64 t (/.f64 z x) (neg.f64 z)) #s(literal 1 binary64)) x))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (*.f64 (-.f64 (/.f64 x t) #s(literal 1 binary64)) (neg.f64 t))) z 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 (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (+.f64 x t)) z x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (+.f64 #s(approx (+ (* t (/ z x)) (neg z)) (*.f64 (fma.f64 (/.f64 z t) #s(literal -1 binary64) (/.f64 z x)) t)) #s(literal 1 binary64)) x))) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 (+.f64 t x) y))) z) y x) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (*.f64 (-.f64 (/.f64 x t) #s(literal 1 binary64)) (neg.f64 t))) y)) z) y x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))) (/.f64 #s(approx (- (+ (+ (* -1 x) t) (/ (+ (* -1/2 (* x x)) (+ (* (* 0 (* t t)) 1/2) (* x x))) y)) (* (neg x) (/ (* -1/2 x) y))) (/.f64 (*.f64 (*.f64 x x) #s(literal 0 binary64)) y)) y)))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))) (/.f64 #s(approx (- (+ (+ (* -1 x) t) (/ (+ (* -1/2 (* x x)) (+ (* (* 0 (* t t)) 1/2) (* x x))) y)) (* (neg x) (/ (* -1/2 x) y))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) (fma.f64 (fma.f64 #s(literal -1 binary64) x t) y (*.f64 x x)))) y)) y)))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))) (/.f64 #s(approx (- (+ (+ (* -1 x) t) (/ (+ (* -1/2 (* x x)) (+ (* (* 0 (* t t)) 1/2) (* x x))) y)) (* (neg x) (/ (* -1/2 x) y))) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (fma.f64 (fma.f64 #s(literal -1 binary64) x t) y (*.f64 x x)))) y)) y)))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) x (+.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (*.f64 x x)) y) (-.f64 t x))) y)))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))) (/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (*.f64 x x)) y) (-.f64 (-.f64 t x) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x y)))) y)))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))) (/.f64 (-.f64 (+.f64 (fma.f64 #s(literal -1 binary64) x t) (/.f64 (fma.f64 x x (*.f64 (*.f64 #s(literal -1/2 binary64) x) x)) y)) (*.f64 (neg.f64 x) (/.f64 (*.f64 #s(literal -1/2 binary64) x) y))) y)))) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 t t)) y) #s(literal 1/2 binary64) t) y)) (/.f64 #s(approx (- 1 (pow (exp -2) (/ x y))) (*.f64 #s(literal 2 binary64) (/.f64 x y))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64))) #s(literal 1 binary64)))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (/ (- 1 (pow (exp -2) (/ x y))) (+ (pow (exp -2) (/ x y)) 1))) (/.f64 (-.f64 (+.f64 (fma.f64 #s(literal -1 binary64) x t) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) (fma.f64 (*.f64 #s(literal 0 binary64) (*.f64 t t)) #s(literal 1/2 binary64) (*.f64 x x))) y)) (*.f64 (neg.f64 x) (/.f64 (*.f64 #s(literal -1/2 binary64) x) y))) y)))) |
| Outputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- (+ (+ (* -1 x) t) (/ (+ (* -1/2 (* x x)) (+ (* (* 0 (* t t)) 1/2) (* x x))) y)) (* (neg x) (/ (* -1/2 x) y))) #s(literal 0 binary64)) y)) z) y x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) |
4 calls:
| 46.0ms | z |
| 9.0ms | t |
| 9.0ms | y |
| 9.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.2% | 3 | z |
| 66.4% | 3 | t |
| 68.2% | 3 | x |
| 77.8% | 3 | y |
Compiled 4 to 16 computations (-300% saved)
| Inputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 z t))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- t x) (neg.f64 x)) z))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (neg.f64 x)) z x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (+ (+ (* t (/ z x)) (neg z)) 1) (/.f64 (*.f64 z t) x)) x))) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) z) y x) |
| Outputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) z) y x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (neg.f64 x)) z x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) |
5 calls:
| 3.0ms | y |
| 3.0ms | x |
| 3.0ms | t |
| 3.0ms | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 3.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.7% | 2 | t |
| 64.8% | 4 | z |
| 59.3% | 2 | x |
| 63.6% | 4 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 66.3% | 4 | y |
Compiled 19 to 28 computations (-47.4% saved)
| Inputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 z t))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- t x) (neg.f64 x)) z))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (neg.f64 x)) z x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (+ (+ (* t (/ z x)) (neg z)) 1) (/.f64 (*.f64 z t) x)) x))) |
| Outputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (neg.f64 x)) z x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) |
1 calls:
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.2% | 3 | y |
Compiled 1 to 4 computations (-300% saved)
| Inputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 z t))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- t x) (neg.f64 x)) z))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (neg.f64 x)) z x)) |
| Outputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (neg.f64 x)) z x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))) |
3 calls:
| 56.0ms | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 2.0ms | y |
| 2.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.3% | 3 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 61.4% | 3 | z |
| 54.4% | 1 | y |
Compiled 17 to 20 computations (-17.6% saved)
| Inputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 z t))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- t x) (neg.f64 x)) z))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))) |
| Outputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))) |
5 calls:
| 2.0ms | 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 |
|---|---|---|
| 22.3% | 1 | y |
| 22.3% | 1 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 22.3% | 1 | x |
| 22.3% | 1 | t |
| 22.3% | 1 | z |
Compiled 19 to 28 computations (-47.4% saved)
| Inputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 z t))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- t x) (neg.f64 x)) z))) |
| Outputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- t x) (neg.f64 x)) z))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 z t))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- t x) (neg.f64 x)) z))) |
5 calls:
| 1.0ms | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 1.0ms | y |
| 1.0ms | z |
| 1.0ms | t |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 18.0% | 3 | t |
| 16.5% | 2 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 13.4% | 1 | y |
| 18.3% | 3 | x |
| 15.7% | 2 | z |
Compiled 19 to 28 computations (-47.4% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 z t))) |
| Outputs |
|---|
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 z t))) |
4 calls:
| 1.0ms | z |
| 1.0ms | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 1.0ms | x |
| 1.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 13.4% | 1 | z |
| 13.4% | 1 | t |
| 13.4% | 1 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 13.4% | 1 | x |
Compiled 18 to 24 computations (-33.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 5.486939773150256e+76 | 2.749027175314127e+77 |
| 34.0ms | -2.4488682275130764e+100 | -2.6222745219700915e+98 |
| 35.0ms | 201× | 0 | valid |
| 1.0ms | 7× | 1 | valid |
Compiled 1 017 to 693 computations (31.9% saved)
ival-div: 3.0ms (28.6% of total)ival-mult: 3.0ms (28.6% of total)ival-tanh: 2.0ms (19.1% of total)ival-sub: 1.0ms (9.5% of total)ival-add: 1.0ms (9.5% 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 |
|---|---|---|
| 17.0ms | 4.317741636848095e-63 | 2.104991603442446e-56 |
| 18.0ms | -3.0591686591961694e+59 | -6.5681865065086245e+53 |
| 21.0ms | 279× | 0 | valid |
| 1.0ms | 9× | 1 | valid |
Compiled 1 296 to 919 computations (29.1% saved)
ival-div: 4.0ms (28.6% of total)ival-mult: 4.0ms (28.6% of total)ival-tanh: 3.0ms (21.5% of total)ival-sub: 1.0ms (7.2% of total)ival-add: 1.0ms (7.2% 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 |
|---|---|---|
| 47.0ms | 2.8410637536506727e+61 | 2.971431331152445e+62 |
| 4.0ms | -1.6456565599037081e+87 | -1.5079183003765487e+87 |
| 45.0ms | 127× | 0 | valid |
| 0.0ms | 1× | 1 | valid |
Compiled 618 to 435 computations (29.6% saved)
ival-div: 2.0ms (33.2% of total)ival-mult: 2.0ms (33.2% of total)ival-add: 1.0ms (16.6% of total)ival-sub: 1.0ms (16.6% of total)ival-tanh: 1.0ms (16.6% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 1.815719600897805e-111 | 1.6684690561607524e-108 |
| 10.0ms | -7.621192591394512e-121 | -3.2678201776555737e-121 |
| 3.0ms | -3.0591686591961694e+59 | -6.5681865065086245e+53 |
| 16.0ms | 217× | 0 | valid |
| 1.0ms | 7× | 1 | valid |
Compiled 1 053 to 763 computations (27.5% saved)
ival-div: 3.0ms (27.2% of total)ival-mult: 3.0ms (27.2% of total)ival-tanh: 2.0ms (18.1% of total)ival-sub: 1.0ms (9.1% of total)ival-add: 1.0ms (9.1% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.815719600897805e-111 | 1.6684690561607524e-108 |
| 33.0ms | -7.621192591394512e-121 | -3.2678201776555737e-121 |
| 5.0ms | 62× | 0 | valid |
| 0.0ms | 2× | 1 | valid |
Compiled 629 to 461 computations (26.7% saved)
ival-div: 1.0ms (31.1% of total)ival-tanh: 1.0ms (31.1% of total)ival-mult: 1.0ms (31.1% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-sub: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 25.0ms | 258364856.51130104 | 5499652499580.11 |
| 18.0ms | -8816641.986896861 | -5.271279171879503e-9 |
| 32.0ms | 288× | 0 | valid |
Compiled 990 to 703 computations (29% saved)
ival-div: 4.0ms (29.9% of total)ival-mult: 4.0ms (29.9% of total)ival-tanh: 3.0ms (22.5% of total)ival-sub: 1.0ms (7.5% of total)ival-add: 1.0ms (7.5% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 43.0ms | 3.138282485955631e-131 | 1.3871027206483697e-120 |
| 15.0ms | -3.2159310114779024e-21 | -1.327227341030462e-25 |
| 44.0ms | 277× | 0 | valid |
| 2.0ms | 11× | 1 | valid |
Compiled 1 080 to 739 computations (31.6% saved)
ival-div: 4.0ms (28.4% of total)ival-mult: 4.0ms (28.4% of total)ival-tanh: 3.0ms (21.3% of total)ival-sub: 1.0ms (7.1% of total)ival-add: 1.0ms (7.1% 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 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 137 | 643 |
| 1 | 261 | 634 |
| 2 | 595 | 616 |
| 3 | 1662 | 604 |
| 4 | 5182 | 604 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) z (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) z)) y x) |
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) |
(if (<=.f64 x #s(literal -699999999999999952851957010060070505201399394770602498012487757478163076497554382089814342853722112 binary64)) (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- (+ (+ (* -1 x) t) (/ (+ (* -1/2 (* x x)) (+ (* (* 0 (* t t)) 1/2) (* x x))) y)) (* (neg x) (/ (* -1/2 x) y))) #s(literal 0 binary64)) y)) z) y x) (if (<=.f64 x #s(literal 239999999999999985583423570873468292726036956330197497987441128312872623931392 binary64)) (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 #s(approx (- 1 (pow (exp -2) (/ x y))) (*.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))) z) y x) (fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) x))) |
(if (<=.f64 y #s(literal -679999999999999995390245098565907023993961740521963520 binary64)) (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) (if (<=.f64 y #s(literal 6113822311730295/463168356949264781694283940034751631413079938662562256157830336031652518559744 binary64)) (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- (+ (+ (* -1 x) t) (/ (+ (* -1/2 (* x x)) (+ (* (* 0 (* t t)) 1/2) (* x x))) y)) (* (neg x) (/ (* -1/2 x) y))) #s(literal 0 binary64)) y)) z) y x) (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x))) |
(if (<=.f64 y #s(literal -1519999999999999911810715201976786408118371545121868450885744841771905591061357707395072 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) (if (<=.f64 y #s(literal 29000000000000000673098462674086368729374659493631596693553152 binary64)) (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- (+ (+ (* -1 x) t) (/ (+ (* -1/2 (* x x)) (+ (* (* 0 (* t t)) 1/2) (* x x))) y)) (* (neg x) (/ (* -1/2 x) y))) #s(literal 0 binary64)) y)) z) y x) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)))) |
(if (<=.f64 y #s(literal -690000000000000016590102517868177270219491789426917376 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) (if (<=.f64 y #s(literal -5582121402590261/11629419588729710248789180926208072549658261770997088964503843186890228609814366773219056811420217048972200345700258846936553626057834496 binary64)) (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) z) y x) (if (<=.f64 y #s(literal 475960297528979/661055968790248598951915308032771039828404682964281219284648795274405791236311345825189210439715284847591212025023358304256 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (neg.f64 x)) z x)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))))) |
(if (<=.f64 y #s(literal -8140593712110797/11629419588729710248789180926208072549658261770997088964503843186890228609814366773219056811420217048972200345700258846936553626057834496 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) (if (<=.f64 y #s(literal 475960297528979/661055968790248598951915308032771039828404682964281219284648795274405791236311345825189210439715284847591212025023358304256 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (neg.f64 x)) z x)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)))) |
(if (<=.f64 z #s(literal -7200 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))) (if (<=.f64 z #s(literal 2600000000 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (neg.f64 x)) z x)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))) |
(if (<=.f64 x #s(literal -8294382693697875/21267647932558653966460912964485513216 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- t x) (neg.f64 x)) z))) (if (<=.f64 x #s(literal 3256237484844319/11629419588729710248789180926208072549658261770997088964503843186890228609814366773219056811420217048972200345700258846936553626057834496 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 z t))) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- t x) (neg.f64 x)) z))))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 z t))) |
| Outputs |
|---|
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) z (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) z)) y x) |
(fma.f64 (fma.f64 (tanh.f64 (/.f64 t y)) z (*.f64 (tanh.f64 (/.f64 x y)) (neg.f64 z))) y x) |
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) |
(if (<=.f64 x #s(literal -699999999999999952851957010060070505201399394770602498012487757478163076497554382089814342853722112 binary64)) (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- (+ (+ (* -1 x) t) (/ (+ (* -1/2 (* x x)) (+ (* (* 0 (* t t)) 1/2) (* x x))) y)) (* (neg x) (/ (* -1/2 x) y))) #s(literal 0 binary64)) y)) z) y x) (if (<=.f64 x #s(literal 239999999999999985583423570873468292726036956330197497987441128312872623931392 binary64)) (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 #s(approx (- 1 (pow (exp -2) (/ x y))) (*.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 #s(approx (pow (exp -2) (/ x y)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))) z) y x) (fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) x))) |
(if (<=.f64 y #s(literal -679999999999999995390245098565907023993961740521963520 binary64)) (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) (if (<=.f64 y #s(literal 6113822311730295/463168356949264781694283940034751631413079938662562256157830336031652518559744 binary64)) (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- (+ (+ (* -1 x) t) (/ (+ (* -1/2 (* x x)) (+ (* (* 0 (* t t)) 1/2) (* x x))) y)) (* (neg x) (/ (* -1/2 x) y))) #s(literal 0 binary64)) y)) z) y x) (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x))) |
(if (or (<=.f64 y #s(literal -679999999999999995390245098565907023993961740521963520 binary64)) (not (<=.f64 y #s(literal 6113822311730295/463168356949264781694283940034751631413079938662562256157830336031652518559744 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)) (tanh (/ x y))) (/.f64 #s(approx (- (+ (+ (* -1 x) t) (/ (+ (* -1/2 (* x x)) (+ (* (* 0 (* t t)) 1/2) (* x x))) y)) (* (neg x) (/ (* -1/2 x) y))) #s(literal 0 binary64)) y)) z) y x)) |
(if (<=.f64 y #s(literal -1519999999999999911810715201976786408118371545121868450885744841771905591061357707395072 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) (if (<=.f64 y #s(literal 29000000000000000673098462674086368729374659493631596693553152 binary64)) (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- (+ (+ (* -1 x) t) (/ (+ (* -1/2 (* x x)) (+ (* (* 0 (* t t)) 1/2) (* x x))) y)) (* (neg x) (/ (* -1/2 x) y))) #s(literal 0 binary64)) y)) z) y x) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)))) |
(if (or (<=.f64 y #s(literal -1519999999999999911810715201976786408118371545121868450885744841771905591061357707395072 binary64)) (not (<=.f64 y #s(literal 29000000000000000673098462674086368729374659493631596693553152 binary64)))) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- (+ (+ (* -1 x) t) (/ (+ (* -1/2 (* x x)) (+ (* (* 0 (* t t)) 1/2) (* x x))) y)) (* (neg x) (/ (* -1/2 x) y))) #s(literal 0 binary64)) y)) z) y x)) |
(if (<=.f64 y #s(literal -690000000000000016590102517868177270219491789426917376 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) (if (<=.f64 y #s(literal -5582121402590261/11629419588729710248789180926208072549658261770997088964503843186890228609814366773219056811420217048972200345700258846936553626057834496 binary64)) (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) z) y x) (if (<=.f64 y #s(literal 475960297528979/661055968790248598951915308032771039828404682964281219284648795274405791236311345825189210439715284847591212025023358304256 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (neg.f64 x)) z x)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))))) |
(if (<=.f64 y #s(literal -8140593712110797/11629419588729710248789180926208072549658261770997088964503843186890228609814366773219056811420217048972200345700258846936553626057834496 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) (if (<=.f64 y #s(literal 475960297528979/661055968790248598951915308032771039828404682964281219284648795274405791236311345825189210439715284847591212025023358304256 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (neg.f64 x)) z x)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)))) |
(if (or (<=.f64 y #s(literal -8140593712110797/11629419588729710248789180926208072549658261770997088964503843186890228609814366773219056811420217048972200345700258846936553626057834496 binary64)) (not (<=.f64 y #s(literal 475960297528979/661055968790248598951915308032771039828404682964281219284648795274405791236311345825189210439715284847591212025023358304256 binary64)))) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (neg.f64 x)) z x))) |
(if (<=.f64 z #s(literal -7200 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))) (if (<=.f64 z #s(literal 2600000000 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (neg.f64 x)) z x)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))))) |
(if (or (<=.f64 z #s(literal -7200 binary64)) (not (<=.f64 z #s(literal 2600000000 binary64)))) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (neg.f64 x)) z x))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z))) |
(if (<=.f64 x #s(literal -8294382693697875/21267647932558653966460912964485513216 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- t x) (neg.f64 x)) z))) (if (<=.f64 x #s(literal 3256237484844319/11629419588729710248789180926208072549658261770997088964503843186890228609814366773219056811420217048972200345700258846936553626057834496 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 z t))) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- t x) (neg.f64 x)) z))))) |
(if (or (<=.f64 x #s(literal -8294382693697875/21267647932558653966460912964485513216 binary64)) (not (<=.f64 x #s(literal 3256237484844319/11629419588729710248789180926208072549658261770997088964503843186890228609814366773219056811420217048972200345700258846936553626057834496 binary64)))) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 #s(approx (- t x) (neg.f64 x)) z))) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 z t)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 z t))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 322 |
| 0 | 74 | 244 |
| 1 | 327 | 234 |
| 2 | 2407 | 234 |
| 0 | 8241 | 233 |
| 0 | 12 | 48 |
| 0 | 20 | 48 |
| 1 | 93 | 48 |
| 2 | 780 | 48 |
| 0 | 8262 | 47 |
| 0 | 77 | 578 |
| 0 | 107 | 481 |
| 1 | 503 | 453 |
| 2 | 4222 | 453 |
| 0 | 8209 | 443 |
| 0 | 1297 | 13496 |
| 1 | 4664 | 12809 |
| 0 | 9017 | 12099 |
| 0 | 1023 | 10142 |
| 1 | 3663 | 9413 |
| 0 | 8211 | 8950 |
| 0 | 1178 | 10651 |
| 1 | 4219 | 10256 |
| 0 | 8172 | 9735 |
| 0 | 495 | 4459 |
| 1 | 1796 | 2917 |
| 0 | 9485 | 2762 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 661 to 146 computations (77.9% saved)
Compiled 1 382 to 340 computations (75.4% saved)
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