
Time bar (total: 8.0s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 2 |
| 50% | 49.9% | 49.9% | 0.2% | 0% | 0% | 0% | 3 |
| 50% | 49.9% | 49.9% | 0.2% | 0% | 0% | 0% | 4 |
| 50% | 49.9% | 49.9% | 0.2% | 0% | 0% | 0% | 5 |
| 50% | 49.9% | 49.9% | 0.2% | 0% | 0% | 0% | 6 |
| 75% | 74.9% | 25% | 0.2% | 0% | 0% | 0% | 7 |
| 75% | 74.9% | 25% | 0.2% | 0% | 0% | 0% | 8 |
| 75% | 74.9% | 25% | 0.2% | 0% | 0% | 0% | 9 |
| 75% | 74.9% | 25% | 0.2% | 0% | 0% | 0% | 10 |
| 87.5% | 87.3% | 12.5% | 0.2% | 0% | 0% | 0% | 11 |
| 87.5% | 87.3% | 12.5% | 0.2% | 0% | 0% | 0% | 12 |
Compiled 17 to 14 computations (17.6% saved)
| 771.0ms | 8 059× | 0 | valid |
| 46.0ms | 197× | 1 | valid |
ival-mult: 155.0ms (30.7% of total)ival-div: 144.0ms (28.5% of total)ival-tanh: 95.0ms (18.8% of total)ival-add: 42.0ms (8.3% of total)ival-sub: 41.0ms (8.1% of total)adjust: 18.0ms (3.6% of total)ival-true: 6.0ms (1.2% of total)ival-assert: 3.0ms (0.6% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 15 | 0 | - | 1 | (2.948873123280046e-247 1.4623076557633302e+173 7.323995795749779e+78 1.2371268394744063e-146) | (*.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 | 10 | 0 |
*.f64 | (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) | o*u | 2 | 0 |
| ↳ | (*.f64 y z) | overflow | 37 | |
| ↳ | (/.f64 t y) | underflow | 23 | |
| ↳ | (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) | underflow | 49 | |
| ↳ | (tanh.f64 (/.f64 x y)) | underflow | 25 | |
| ↳ | (/.f64 x y) | underflow | 25 | |
| ↳ | (tanh.f64 (/.f64 t y)) | underflow | 23 | |
-.f64 | (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) | cancellation | 1 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 13 | 3 |
| - | 0 | 240 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 13 | 0 | 3 |
| - | 0 | 0 | 240 |
| number | freq |
|---|---|
| 0 | 243 |
| 1 | 13 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 44.0ms | 14× | 1 | valid |
| 43.0ms | 428× | 0 | valid |
| 19.0ms | 68× | 2 | valid |
| 1.0ms | 2× | 3 | valid |
Compiled 193 to 52 computations (73.1% saved)
ival-mult: 49.0ms (57.6% of total)ival-div: 19.0ms (22.4% of total)ival-tanh: 7.0ms (8.2% of total)ival-sub: 3.0ms (3.5% of total)adjust: 3.0ms (3.5% of total)ival-add: 3.0ms (3.5% 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 |
|---|---|---|
| ▶ | 94.4% | (+.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 | 0.0078125 | (tanh.f64 (/.f64 t y)) | |
| accuracy | 0.01171875 | (tanh.f64 (/.f64 x y)) | |
| accuracy | 0.16845150283546326 | (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) | |
| accuracy | 3.5287931156615664 | (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
| 39.0ms | 34× | 2 | valid |
| 20.0ms | 214× | 0 | valid |
| 1.0ms | 7× | 1 | valid |
| 0.0ms | 1× | 3 | valid |
Compiled 118 to 26 computations (78% saved)
ival-div: 35.0ms (74.8% of total)ival-mult: 4.0ms (8.6% of total)ival-tanh: 4.0ms (8.6% of total)ival-add: 2.0ms (4.3% of total)ival-sub: 1.0ms (2.1% of total)adjust: 1.0ms (2.1% 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 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))))))) |
(/ 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) |
(/ (+ 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) |
(/ t y) |
(/ (+ t (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y))) y) |
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(/ (- (+ 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) |
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(* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y))) |
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12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | 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 (/ x y)) (tanh (/ t 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 (/ x y)) (tanh (/ t 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 (/ x y)) (tanh (/ t 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 (/ x y)) (tanh (/ t y))) |
| 5.0ms | x | @ | inf | ((+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ x y)) (tanh (/ t y))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 495 | 4459 |
| 1 | 1796 | 2917 |
| 0 | 9484 | 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 (+ (* (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 |
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(* y z) |
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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)) |
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(/ (- t x) y) |
(/ (- (+ t (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y))) (+ x (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)))) y) |
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(/ (+ 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) |
(/ t y) |
(/ (+ t (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y))) y) |
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(/ (- (+ 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 (* 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 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 (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ 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 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)) |
(* -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)) |
(* 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 x y)) |
(tanh.f64 (/.f64 t y)) |
| Outputs |
|---|
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(/.f64 (-.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))) (*.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 t y)) #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 t y)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (/.f64 t y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) (exp.f64 (/.f64 (neg.f64 t) y)))) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) #s(literal 2 binary64))) |
(/.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 12 528 to 1 415 computations (88.7% saved)
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 229 | 7 | 236 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 230 | 7 | 237 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 98.0% | (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) |
| 52.5% | (+.f64 x (*.f64 (*.f64 y z) (/.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))))) (*.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)))))) | |
| 52.6% | (+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 (*.f64 (expm1.f64 (*.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))))))) | |
| ▶ | 69.5% | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) |
| ▶ | 64.5% | (+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| ▶ | 51.0% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) |
| ▶ | 62.2% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) |
Compiled 414 to 240 computations (42% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) | |
| cost-diff | 0 | (*.f64 y z) | |
| cost-diff | 0 | (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) | |
| cost-diff | 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 #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 | #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) | |
| cost-diff | 0 | (*.f64 y z) | |
| cost-diff | 0 | (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) | |
| cost-diff | 1 | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) | |
| cost-diff | 0 | (-.f64 t x) | |
| cost-diff | 0 | (fma.f64 (-.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 | 35 | 304 |
| 0 | 58 | 303 |
| 1 | 125 | 303 |
| 2 | 284 | 303 |
| 3 | 655 | 303 |
| 4 | 1874 | 303 |
| 0 | 8333 | 300 |
| 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) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) |
x |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) |
(*.f64 y z) |
y |
z |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) |
(/.f64 (-.f64 t x) y) |
(-.f64 t x) |
t |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
x |
(*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
(*.f64 y z) |
y |
z |
(-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
#s(approx (tanh (/ t y)) (/.f64 t y)) |
(/.f64 t y) |
t |
(tanh.f64 (/.f64 x y)) |
(/.f64 x y) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) |
x |
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) |
(*.f64 y z) |
y |
z |
(-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) |
(tanh.f64 (/.f64 t y)) |
(/.f64 t y) |
t |
#s(approx (tanh (/ x y)) (/.f64 x y)) |
(/.f64 x y) |
| Outputs |
|---|
(fma.f64 (*.f64 (-.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) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) |
(fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 z y) x) |
x |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) |
(*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 z y)) |
(*.f64 y z) |
(*.f64 z y) |
y |
z |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) |
(/.f64 (-.f64 t x) y) |
(-.f64 t x) |
t |
(+.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)) #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 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0078125 | (tanh.f64 (/.f64 t y)) | |
| accuracy | 0.16845150283546326 | (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) | |
| accuracy | 3.5287931156615664 | (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) | |
| accuracy | 30.930220406487066 | #s(approx (tanh (/ x y)) (/.f64 x y)) | |
| accuracy | 0.01171875 | (tanh.f64 (/.f64 x y)) | |
| accuracy | 0.16845150283546326 | (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) | |
| accuracy | 3.5287931156615664 | (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) | |
| accuracy | 30.253148176642583 | #s(approx (tanh (/ t y)) (/.f64 t y)) | |
| accuracy | 0.00390625 | (/.f64 (-.f64 t x) y) | |
| accuracy | 0.00390625 | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) | |
| accuracy | 3.5287931156615664 | (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) | |
| accuracy | 42.56971492981418 | #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) | |
| accuracy | 0.0 | (fma.f64 (-.f64 t x) z x) | |
| accuracy | 0.0 | (-.f64 t x) | |
| accuracy | 24.16043592995929 | #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 | 0.16845150283546326 | (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) | |
| accuracy | 0.5129113754483668 | (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) | |
| accuracy | 0.687643800049325 | (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) |
| 80.0ms | 35× | 2 | valid |
| 37.0ms | 214× | 0 | valid |
| 3.0ms | 5× | 3 | valid |
| 1.0ms | 2× | 1 | valid |
Compiled 555 to 56 computations (89.9% saved)
ival-add: 40.0ms (41.8% of total)ival-mult: 35.0ms (36.6% of total)ival-div: 7.0ms (7.3% of total)ival-tanh: 7.0ms (7.3% of total)ival-sub: 3.0ms (3.1% of total)adjust: 3.0ms (3.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 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) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) |
(*.f64 y z) |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
(-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) |
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) |
(-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) |
(tanh.f64 (/.f64 x y)) |
(/.f64 (-.f64 t x) y) |
#s(approx (tanh (/ t y)) (/.f64 t y)) |
#s(approx (tanh (/ x y)) (/.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)))))))))) |
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(* z (- (+ t (/ x z)) x)) |
(* -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 (- (/ 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)))))))) |
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(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y)) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
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(* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y))) |
(* 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))))))))) |
(* t (+ z (+ (* -1 (/ (* x z) t)) (/ x t)))) |
(* t (+ 1 (* -1 (/ x t)))) |
(* t (+ (* -1 (/ x (* t y))) (/ 1 y))) |
(* -1 (* t (+ (* -1 z) (* -1 (/ (+ x (* -1 (* x z))) t))))) |
(* -1 (* t (- (/ x t) 1))) |
(* -1 (* t (- (/ x (* t y)) (/ 1 y)))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 14.0ms | 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))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (- (tanh (/ t y)) (tanh (/ x y))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ x y)) (/ (- t x) y) (tanh (/ t y)) (tanh (/ x y))) |
| 7.0ms | z | @ | 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))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (- (tanh (/ t y)) (tanh (/ x y))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ x y)) (/ (- t x) y) (tanh (/ t y)) (tanh (/ x y))) |
| 4.0ms | 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))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (- (tanh (/ t y)) (tanh (/ x y))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ x y)) (/ (- t x) y) (tanh (/ t y)) (tanh (/ x y))) |
| 4.0ms | z | @ | -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))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (- (tanh (/ t y)) (tanh (/ x y))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ x y)) (/ (- t x) y) (tanh (/ t y)) (tanh (/ x y))) |
| 4.0ms | 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))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (- (tanh (/ t y)) (tanh (/ x y))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ x y)) (/ (- t x) y) (tanh (/ t y)) (tanh (/ x y))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 621 | 5764 |
| 1 | 2262 | 3852 |
| 0 | 9734 | 3662 |
| 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 (+ 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)))))))))) |
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(+ (* -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))))))) |
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(- (+ (* 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))) |
(/ t y) |
(+ (* -1 (/ x y)) (/ t y)) |
x |
(* x (+ 1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x))) |
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(* x (+ 1 (* -1 z))) |
(* x (+ 1 (+ (* -1 z) (/ (* t z) x)))) |
(* -1 x) |
(* x (- (/ t x) 1)) |
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(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(* -1 (/ x y)) |
(* x (- (/ t (* x y)) (/ 1 y))) |
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(* -1 (* x (- z 1))) |
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(* -1 (* x (+ 1 (* -1 (/ t x))))) |
(* -1 (* x (+ (* -1 (/ t (* x y))) (/ 1 y)))) |
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(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(* y z) |
(/ (- t x) y) |
(+ x (* z (- t x))) |
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(* z (+ (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (/ x z))) |
(* z (- (+ t (/ x z)) x)) |
(* -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 (- (/ 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))))))))) |
(* t (+ z (+ (* -1 (/ (* x z) t)) (/ x t)))) |
(* t (+ 1 (* -1 (/ x t)))) |
(* t (+ (* -1 (/ x (* t y))) (/ 1 y))) |
(* -1 (* t (+ (* -1 z) (* -1 (/ (+ x (* -1 (* x z))) t))))) |
(* -1 (* t (- (/ x t) 1))) |
(* -1 (* t (- (/ x (* t y)) (/ 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))))) |
(+ (* 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 (-.f64 #s(literal 1 binary64) z) 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 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (/.f64 z (*.f64 y y)) (-.f64 #s(literal 1 binary64) z)) x)) |
(+ (* x (+ 1 (+ (* -1 z) (* (pow x 2) (+ (* -2/15 (/ (* (pow x 2) z) (pow y 4))) (* 1/3 (/ z (pow y 2)))))))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))) |
(fma.f64 (*.f64 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 x x)) (/.f64 z (pow.f64 y #s(literal 4 binary64))))) (*.f64 x x) (-.f64 #s(literal 1 binary64) z)) x)) |
(* 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 (neg.f64 x) (/.f64 z 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) #s(literal 1/3 binary64)) (/.f64 z (pow.f64 y #s(literal 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 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal -2/15 binary64) (*.f64 x x)) (/.f64 z (pow.f64 y #s(literal 5 binary64))) (*.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))) #s(literal 1/3 binary64))) (*.f64 (neg.f64 x) (/.f64 z y)))) |
(- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))) |
(/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (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 z t) |
(+ (* t z) (* x (+ 1 (* -1 z)))) |
(fma.f64 (-.f64 t x) z x) |
t |
(+ t (* -1 x)) |
(-.f64 t 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 x) z)) |
(+ (* 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 (*.f64 x x) #s(literal 1/3 binary64)) (/.f64 z (*.f64 y 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)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 z y) (*.f64 (*.f64 #s(literal -2/15 binary64) (*.f64 x x)) (/.f64 z (pow.f64 y #s(literal 4 binary64))))) (*.f64 (neg.f64 x) z))) |
(/ 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))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.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 (/.f64 #s(literal 1 binary64) y))) |
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -17/315 (/ (pow x 2) (pow y 7))) (* 2/15 (/ 1 (pow y 5))))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.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 (/.f64 #s(literal 1 binary64) y))) |
(/ t y) |
(/.f64 t y) |
(+ (* -1 (/ x y)) (/ t y)) |
(/.f64 (-.f64 t x) y) |
x |
(* x (+ 1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x))) |
(fma.f64 (*.f64 x y) (/.f64 (*.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))))) z) x) 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 #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))))) z) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (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))))) |
(* x (+ 1 (* -1 z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* x (+ 1 (+ (* -1 z) (/ (* t z) x)))) |
(fma.f64 (-.f64 (/.f64 (*.f64 z t) x) z) x x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ t x) 1)) |
(*.f64 (-.f64 (/.f64 t x) #s(literal 1 binary64)) x) |
(* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 #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)))))) |
(/ (- (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 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) |
(* -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))) |
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 z (neg.f64 y)) (-.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)))))) x) #s(literal 1 binary64)) (neg.f64 x)) |
(* -1 (* x (- z 1))) |
(*.f64 (-.f64 z #s(literal 1 binary64)) (neg.f64 x)) |
(* -1 (* x (- (+ z (* -1 (/ (* t z) x))) 1))) |
(*.f64 (-.f64 z (fma.f64 t (/.f64 z x) #s(literal 1 binary64))) (neg.f64 x)) |
(* -1 (* x (+ 1 (* -1 (/ t x))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 t x)) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (/ t (* x y))) (/ 1 y)))) |
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(+ (* -1 (* z (- (* -1 t) (* -1 x)))) (* -1 (/ (+ (* -1 (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))))) (/ (* z (- (+ (* -1/2 (pow x 3)) (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))))) (+ (* -1/2 (pow t 3)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))))) y)) y))) |
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(+ (* -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))) |
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(* -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 x (/.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))) 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 (+.f64 (/.f64 (-.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/12 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)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))) (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) |
(* z (- (+ t (/ x z)) x)) |
(*.f64 (-.f64 (+.f64 (/.f64 x z) t) 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))))) |
(*.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)) |
(* -1 (* z (+ (* -1 (- t x)) (* -1 (/ x z))))) |
(*.f64 (neg.f64 (-.f64 (+.f64 (/.f64 x z) t) x)) (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 z 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))))) 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 z 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))))) (fma.f64 z t x)) |
(+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(fma.f64 (*.f64 z 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))))) (fma.f64 (fma.f64 (*.f64 (*.f64 t t) #s(literal -1/3 binary64)) (/.f64 z (*.f64 y 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)))))))))) |
(fma.f64 (*.f64 z 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))))) (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) y) (/.f64 z y) (*.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 t t)) (/.f64 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 #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))))) 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 #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))))) 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 #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))))) z (*.f64 (fma.f64 (*.f64 (*.f64 t t) #s(literal -1/3 binary64)) (/.f64 z (pow.f64 y #s(literal 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 #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))))) z (fma.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 t t)) (/.f64 z (pow.f64 y #s(literal 5 binary64))) (*.f64 #s(literal -1/3 binary64) (/.f64 z (pow.f64 y #s(literal 3 binary64))))) (*.f64 t (/.f64 z y)))) |
(- (/ 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 (*.f64 t 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 (-.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 #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 (*.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))) |
(fma.f64 (pow.f64 t #s(literal 3 binary64)) (-.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 (/.f64 #s(literal 1 binary64) y))) |
(* t (+ (* (pow t 2) (- (* (pow t 2) (+ (* -17/315 (/ (pow t 2) (pow y 7))) (* 2/15 (/ 1 (pow y 5))))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) |
(fma.f64 (pow.f64 t #s(literal 3 binary64)) (-.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 (/.f64 #s(literal 1 binary64) y))) |
(+ x (* -1 (* x z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(+ x (+ (* -1 (* x z)) (* t z))) |
(fma.f64 (-.f64 t x) 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 #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 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 #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 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 #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 (fma.f64 (*.f64 (*.f64 t t) #s(literal -1/3 binary64)) (/.f64 z (*.f64 y 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 #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))))) (fma.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal -1/3 binary64) y) (/.f64 z y) (*.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 t t)) (/.f64 z (pow.f64 y #s(literal 4 binary64))))) (*.f64 z t))) |
(* t (+ z (+ (* -1 (/ (* x z) t)) (/ x t)))) |
(*.f64 (+.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) t) z) t) |
(* t (+ 1 (* -1 (/ x t)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x t)) 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) |
(* -1 (* t (+ (* -1 z) (* -1 (/ (+ x (* -1 (* x z))) t))))) |
(*.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) (neg.f64 t)) 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)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 250 |
| 0 | 58 | 249 |
| 1 | 242 | 249 |
| 2 | 1883 | 249 |
| 0 | 8447 | 246 |
| 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) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) |
(*.f64 y z) |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
(-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) |
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) |
(-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) |
(tanh.f64 (/.f64 x y)) |
(/.f64 (-.f64 t x) y) |
#s(approx (tanh (/ t y)) (/.f64 t y)) |
#s(approx (tanh (/ x y)) (/.f64 x y)) |
| Outputs |
|---|
(/.f64 (fma.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 (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)) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64)))) (*.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)) (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 (fma.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 (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))) (pow.f64 x #s(literal 3 binary64)))) (*.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))) (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 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 (*.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 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 (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 (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 (-.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 (*.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 (*.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 (/.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 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 (*.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 (*.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 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x) |
(+.f64 x (*.f64 (neg.f64 (*.f64 (neg.f64 y) z)) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(+.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) |
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) |
(/.f64 (*.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 2 binary64))) z) (+.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 t y)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64))) z) (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 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 (neg.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 2 binary64)))) (neg.f64 (+.f64 (tanh.f64 (/.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 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 t y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.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 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))))) (*.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)))) |
(/.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))))) |
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (*.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 x y))))) (*.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y))))) |
(/.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))))) (*.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)))) |
(/.f64 (-.f64 (*.f64 (expm1.f64 (*.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))))) |
(/.f64 (-.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (/.f64 t y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (*.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 t y)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 x y))))) (*.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 t y)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y))) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y))))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y))) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 x y)))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) (expm1.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 x y))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 x y))))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y))))) |
(/.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 2 binary64))) (+.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 t y)))) |
(/.f64 (-.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 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (+.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 t y)))) (/.f64 (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 2 binary64)) (+.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 t y))))) |
(-.f64 (/.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (fma.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 t y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)))) (/.f64 (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 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.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)))) |
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(/.f64 (-.f64 (neg.f64 (neg.f64 t)) (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 y))) |
(/.f64 (-.f64 (pow.f64 (/.f64 t y) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 (/.f64 t y) (/.f64 x y))) |
(/.f64 (-.f64 (pow.f64 (/.f64 t y) #s(literal 3 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 t y) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (/.f64 t y) (/.f64 x y))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 t x))) (neg.f64 (neg.f64 y))) |
(/.f64 (-.f64 (*.f64 (neg.f64 t) (neg.f64 y)) (*.f64 (neg.f64 y) (neg.f64 x))) (*.f64 y y)) |
(/.f64 (-.f64 (*.f64 (neg.f64 t) y) (*.f64 (neg.f64 y) x)) (*.f64 (neg.f64 y) y)) |
(/.f64 (-.f64 (*.f64 t (neg.f64 y)) (*.f64 y (neg.f64 x))) (*.f64 y (neg.f64 y))) |
(/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y)) |
(/.f64 (-.f64 (neg.f64 t) (neg.f64 x)) (neg.f64 y)) |
(/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (*.f64 (+.f64 x t) y)) |
(/.f64 (-.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 x (+.f64 x t) (*.f64 t t)) y)) |
(/.f64 (neg.f64 (-.f64 t x)) (neg.f64 y)) |
(/.f64 (-.f64 t x) y) |
(neg.f64 (/.f64 (neg.f64 (-.f64 t x)) y)) |
(neg.f64 (/.f64 (-.f64 t x) (neg.f64 y))) |
(-.f64 (/.f64 t y) (/.f64 x y)) |
#s(approx (tanh (/ t y)) (/.f64 t y)) |
#s(approx (tanh (/ x y)) (/.f64 x y)) |
Compiled 16 014 to 1 688 computations (89.5% saved)
20 alts after pruning (18 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 374 | 16 | 390 |
| Fresh | 0 | 2 | 2 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 377 | 20 | 397 |
| Status | Accuracy | Program |
|---|---|---|
| 69.5% | (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 z y) x) | |
| 64.5% | (fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) x) | |
| 53.7% | (fma.f64 (*.f64 (/.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))))) (*.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)))) z) y x) | |
| 55.8% | (fma.f64 (*.f64 (/.f64 (-.f64 (*.f64 (expm1.f64 (*.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))))) z) y x) | |
| ✓ | 98.0% | (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) |
| ▶ | 73.3% | (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) |
| ▶ | 54.5% | (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x) |
| 60.0% | (fma.f64 #s(approx (* (- (tanh (/ t y)) (tanh (/ x y))) z) (/.f64 (*.f64 (*.f64 #s(literal 1 binary64) (-.f64 t x)) z) y)) y x) | |
| 52.5% | (+.f64 x (*.f64 (*.f64 y z) (/.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))))) (*.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)))))) | |
| 52.6% | (+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 (*.f64 (expm1.f64 (*.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))))))) | |
| ▶ | 29.0% | (+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) #s(approx (tanh (/ x 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))))) |
| 29.3% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y))))) | |
| ▶ | 30.4% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (*.f64 (+.f64 x t) y))))) |
| 48.0% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))) | |
| 55.7% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))))) | |
| 48.5% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 (-.f64 (/.f64 (/.f64 t x) y) (/.f64 #s(literal 1 binary64) y)) x))))) | |
| ✓ | 62.2% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) |
| 60.0% | #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)) | |
| 54.9% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (neg.f64 x)) z x)) | |
| ▶ | 17.2% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 z t))) |
Compiled 1 184 to 708 computations (40.2% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 y z) | |
| cost-diff | 0 | (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) #s(approx (tanh (/ x 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)))) | |
| cost-diff | 1 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) #s(approx (tanh (/ x 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))))) | |
| cost-diff | 4 | (*.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) | |
| cost-diff | 0 | (*.f64 y z) | |
| cost-diff | 0 | (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (*.f64 (+.f64 x t) y)))) | |
| cost-diff | 1 | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (*.f64 (+.f64 x t) y))))) | |
| cost-diff | 8 | (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (*.f64 (+.f64 x t) y)) | |
| cost-diff | 0 | (/.f64 (-.f64 t x) y) | |
| cost-diff | 0 | #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) | |
| cost-diff | 0 | (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) | |
| cost-diff | 0 | (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x) | |
| cost-diff | 0 | (*.f64 z t) | |
| cost-diff | 0 | #s(approx (+ (* (- 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 | (tanh.f64 (/.f64 t y)) | |
| cost-diff | 0 | (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) | |
| cost-diff | 0 | (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) | |
| cost-diff | 0 | (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 468 |
| 0 | 83 | 443 |
| 1 | 174 | 437 |
| 2 | 458 | 435 |
| 3 | 1372 | 435 |
| 4 | 5858 | 420 |
| 0 | 8721 | 411 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) |
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) |
(-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) |
(tanh.f64 (/.f64 t y)) |
(/.f64 t y) |
t |
y |
#s(approx (tanh (/ x y)) (/.f64 x y)) |
(/.f64 x y) |
x |
z |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 z t))) |
#s(approx (+ (* (- t x) z) x) (*.f64 z t)) |
(*.f64 z t) |
z |
t |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x) |
(*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) |
(/.f64 (-.f64 t x) y) |
(-.f64 t x) |
t |
x |
y |
z |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (*.f64 (+.f64 x t) y))))) |
x |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (*.f64 (+.f64 x t) y)))) |
(*.f64 y z) |
y |
z |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (*.f64 (+.f64 x t) y))) |
(/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (*.f64 (+.f64 x t) y)) |
(*.f64 (+.f64 x t) (-.f64 t x)) |
(+.f64 x t) |
t |
(-.f64 t x) |
(*.f64 (+.f64 x t) y) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) #s(approx (tanh (/ x 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 |
(*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) #s(approx (tanh (/ x 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)))) |
(*.f64 y z) |
y |
z |
(-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) #s(approx (tanh (/ x 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))) |
#s(approx (tanh (/ t y)) (/.f64 t y)) |
(/.f64 t y) |
t |
#s(approx (tanh (/ x 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)) |
(*.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) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) y)) |
#s(literal -1/3 binary64) |
(/.f64 (*.f64 x x) (pow.f64 y #s(literal 3 binary64))) |
(*.f64 x x) |
(pow.f64 y #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
| Outputs |
|---|
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) |
(fma.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) x) |
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) |
(-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) |
(tanh.f64 (/.f64 t y)) |
(/.f64 t y) |
t |
y |
#s(approx (tanh (/ x y)) (/.f64 x y)) |
(/.f64 x y) |
x |
z |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 z t))) |
#s(approx (+ (* (- t x) z) x) (*.f64 z t)) |
(*.f64 z t) |
z |
t |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x) |
(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)) y) |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) |
(/.f64 (-.f64 t x) y) |
(-.f64 t x) |
t |
x |
y |
z |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (*.f64 (+.f64 x t) y))))) |
(fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 z y) x) |
x |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (*.f64 (+.f64 x t) y)))) |
(*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 z y)) |
(*.f64 y z) |
(*.f64 z y) |
y |
z |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (*.f64 (+.f64 x t) y))) |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) |
(/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (*.f64 (+.f64 x t) y)) |
(/.f64 (-.f64 t x) y) |
(*.f64 (+.f64 x t) (-.f64 t x)) |
(+.f64 x t) |
t |
(-.f64 t x) |
(*.f64 (+.f64 x t) y) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) #s(approx (tanh (/ x 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))))) |
(fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) #s(approx (tanh (/ x y)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1/3 binary64) (/.f64 x y)))) (*.f64 z y) x) |
x |
(*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) #s(approx (tanh (/ x 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)))) |
(*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) #s(approx (tanh (/ x y)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1/3 binary64) (/.f64 x y)))) (*.f64 z y)) |
(*.f64 y z) |
(*.f64 z y) |
y |
z |
(-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) #s(approx (tanh (/ x 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))) |
(-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) #s(approx (tanh (/ x y)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1/3 binary64) (/.f64 x y)))) |
#s(approx (tanh (/ t y)) (/.f64 t y)) |
(/.f64 t y) |
t |
#s(approx (tanh (/ x 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)) |
#s(approx (tanh (/ x y)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1/3 binary64) (/.f64 x 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) |
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1/3 binary64) (/.f64 x y)) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) (/.f64 (/.f64 x y) y) #s(literal 1 binary64)) y) |
#s(literal -1/3 binary64) |
(/.f64 (*.f64 x x) (pow.f64 y #s(literal 3 binary64))) |
(*.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) x) |
(*.f64 x x) |
(pow.f64 y #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 3.5287931156615664 | (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) #s(approx (tanh (/ x 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)))) | |
| accuracy | 19.495220755277565 | (/.f64 (*.f64 x x) (pow.f64 y #s(literal 3 binary64))) | |
| accuracy | 30.253148176642583 | #s(approx (tanh (/ t y)) (/.f64 t y)) | |
| accuracy | 32.368946271562784 | #s(approx (tanh (/ x 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)) | |
| accuracy | 0.0078125 | (*.f64 (+.f64 x t) y) | |
| accuracy | 3.5287931156615664 | (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (*.f64 (+.f64 x t) y)))) | |
| accuracy | 23.880499451614188 | (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (*.f64 (+.f64 x t) y)) | |
| accuracy | 42.56971492981418 | #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (*.f64 (+.f64 x t) y))) | |
| accuracy | 0.00390625 | (/.f64 (-.f64 t x) y) | |
| accuracy | 0.01171875 | (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x) | |
| accuracy | 1.8277399477982896 | (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) | |
| accuracy | 42.56971492981418 | #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) | |
| accuracy | 0.0 | (*.f64 z t) | |
| accuracy | 24.16043592995929 | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 z t))) | |
| accuracy | 36.37789384069387 | #s(approx (+ (* (- t x) z) x) (*.f64 z t)) | |
| accuracy | 0.01171875 | (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) | |
| accuracy | 0.16845150283546326 | (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) | |
| accuracy | 1.8277399477982896 | (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) | |
| accuracy | 30.930220406487066 | #s(approx (tanh (/ x y)) (/.f64 x y)) |
| 64.0ms | 214× | 0 | valid |
| 23.0ms | 34× | 2 | valid |
| 4.0ms | 7× | 1 | valid |
| 1.0ms | 1× | 3 | valid |
Compiled 774 to 88 computations (88.6% saved)
ival-mult: 18.0ms (30.9% of total)ival-div: 12.0ms (20.6% of total)ival-add: 7.0ms (12% of total)ival-pow: 5.0ms (8.6% of total)ival-sub: 4.0ms (6.9% of total)adjust: 4.0ms (6.9% of total)ival-tanh: 4.0ms (6.9% of total)const: 4.0ms (6.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) |
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) |
(-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) |
(tanh.f64 (/.f64 t y)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 z t))) |
#s(approx (+ (* (- t x) z) x) (*.f64 z t)) |
(*.f64 z t) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x) |
(*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) |
(/.f64 (-.f64 t x) y) |
(/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (*.f64 (+.f64 x t) y)) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (*.f64 (+.f64 x t) y))))) |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (*.f64 (+.f64 x t) y)))) |
(*.f64 y z) |
(*.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) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) #s(approx (tanh (/ x 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))))) |
(*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) #s(approx (tanh (/ x 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)))) |
#s(approx (tanh (/ x y)) (/.f64 x y)) |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (*.f64 (+.f64 x t) y))) |
(*.f64 (+.f64 x t) y) |
#s(approx (tanh (/ x 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)) |
#s(approx (tanh (/ t y)) (/.f64 t y)) |
(/.f64 (*.f64 x x) (pow.f64 y #s(literal 3 binary64))) |
| 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)))))))))) |
(* 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 2))) 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 4))) (* 1/3 (/ 1 (pow y 2))))) 1)) (* y (- (/ (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 y) |
(+ (* -1 (/ x y)) (/ 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)))))))))) |
(/ 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))) |
(* t y) |
(+ (* t y) (* x y)) |
(/ (pow x 2) (pow y 3)) |
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 (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 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))))))))) |
(* -1/3 (/ (pow x 3) (pow y 3))) |
(* (pow x 3) (- (/ 1 (* (pow x 2) y)) (* 1/3 (/ 1 (pow y 3))))) |
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) |
(* x y) |
(* x (+ y (/ (* t y) x))) |
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1))) |
(* -1 (* x (- z 1))) |
(* -1 (* x (- (+ z (* -1 (/ (* t z) x))) 1))) |
(* -1 (* x (+ (* -1 (/ t (* x y))) (/ 1 y)))) |
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow y 3))) (/ 1 (* (pow x 2) y))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (* t y) x))))) |
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(/ (- t x) y) |
(* y z) |
(/ (+ (* -1/3 (pow x 3)) (* x (pow y 2))) (pow y 3)) |
(* y (+ t x)) |
(+ 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)))))) |
(- t x) |
(- (+ t (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y))) (+ x (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) 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))))))) |
(- (+ 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)))))))))) |
(/ (- (+ 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 (* 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 | |
|---|---|---|---|---|
| 49.0ms | x | @ | inf | ((+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z) x) (* (- (tanh (/ t y)) (tanh (/ x y))) y) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (* z t) (+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z) x) (* (- (tanh (/ t y)) (tanh (/ x y))) y) (- (tanh (/ t y)) (tanh (/ x y))) (/ (- t x) y) (/ (* (+ x t) (- t x)) (* (+ x t) y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (* (+ (* -1/3 (/ (* x x) (pow y 3))) (/ 1 y)) x) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (tanh (/ x y)) (- (tanh (/ t y)) (tanh (/ x y))) (* (+ x t) y) (tanh (/ x y)) (tanh (/ t y)) (/ (* x x) (pow y 3))) |
| 41.0ms | z | @ | inf | ((+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z) x) (* (- (tanh (/ t y)) (tanh (/ x y))) y) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (* z t) (+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z) x) (* (- (tanh (/ t y)) (tanh (/ x y))) y) (- (tanh (/ t y)) (tanh (/ x y))) (/ (- t x) y) (/ (* (+ x t) (- t x)) (* (+ x t) y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (* (+ (* -1/3 (/ (* x x) (pow y 3))) (/ 1 y)) x) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (tanh (/ x y)) (- (tanh (/ t y)) (tanh (/ x y))) (* (+ x t) y) (tanh (/ x y)) (tanh (/ t y)) (/ (* x x) (pow y 3))) |
| 12.0ms | x | @ | -inf | ((+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z) x) (* (- (tanh (/ t y)) (tanh (/ x y))) y) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (* z t) (+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z) x) (* (- (tanh (/ t y)) (tanh (/ x y))) y) (- (tanh (/ t y)) (tanh (/ x y))) (/ (- t x) y) (/ (* (+ x t) (- t x)) (* (+ x t) y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (* (+ (* -1/3 (/ (* x x) (pow y 3))) (/ 1 y)) x) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (tanh (/ x y)) (- (tanh (/ t y)) (tanh (/ x y))) (* (+ x t) y) (tanh (/ x y)) (tanh (/ t y)) (/ (* x x) (pow y 3))) |
| 6.0ms | y | @ | -inf | ((+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z) x) (* (- (tanh (/ t y)) (tanh (/ x y))) y) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (* z t) (+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z) x) (* (- (tanh (/ t y)) (tanh (/ x y))) y) (- (tanh (/ t y)) (tanh (/ x y))) (/ (- t x) y) (/ (* (+ x t) (- t x)) (* (+ x t) y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (* (+ (* -1/3 (/ (* x x) (pow y 3))) (/ 1 y)) x) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (tanh (/ x y)) (- (tanh (/ t y)) (tanh (/ x y))) (* (+ x t) y) (tanh (/ x y)) (tanh (/ t y)) (/ (* x x) (pow y 3))) |
| 4.0ms | y | @ | inf | ((+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z) x) (* (- (tanh (/ t y)) (tanh (/ x y))) y) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (* z t) (+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z) x) (* (- (tanh (/ t y)) (tanh (/ x y))) y) (- (tanh (/ t y)) (tanh (/ x y))) (/ (- t x) y) (/ (* (+ x t) (- t x)) (* (+ x t) y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (* (+ (* -1/3 (/ (* x x) (pow y 3))) (/ 1 y)) x) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (tanh (/ x y)) (- (tanh (/ t y)) (tanh (/ x y))) (* (+ x t) y) (tanh (/ x y)) (tanh (/ t y)) (/ (* x x) (pow y 3))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 657 | 5845 |
| 1 | 2368 | 4639 |
| 0 | 8863 | 4439 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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(+ 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))) |
(- (+ (* -1 (- (* -1 t) (* -1 x))) (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y))) (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) |
(+ (* -1 (- (* -1 t) (* -1 x))) (* -1 (/ (- (+ (* -1 (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) (+ (* -1/2 (/ (pow x 3) y)) (* 1/2 (/ (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))) y)))) (+ (* -1/2 (/ (pow t 3) y)) (* 1/2 (/ (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) y)))) y))) |
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(* -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 (/ (+ (* -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 (* 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))) |
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(* -1 (/ (+ (* -1 x) (* 1/3 (/ (pow x 3) (pow y 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)) |
(* 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 (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (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 (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(+ x (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(* y (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) |
(+ t (* y (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) |
(+ (* t (+ 1 (* -1/3 (/ (pow t 2) (pow y 2))))) (* y (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) |
(+ (* t (+ 1 (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 4))) (* 1/3 (/ 1 (pow y 2))))))) (* y (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) |
(- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y)) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(- (+ (* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(- (+ (* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(* t (+ (* -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))) |
(* 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))))))))) |
(* t (+ z (+ (* -1 (/ (* x z) t)) (/ x t)))) |
(* t (+ (* -1 (/ x (* t y))) (/ 1 y))) |
(* t (+ y (/ (* x y) t))) |
(* -1 (* t (+ (* -1 z) (* -1 (/ (+ x (* -1 (* x z))) t))))) |
(* -1 (* t (- (/ x (* t y)) (/ 1 y)))) |
(* -1 (* t (+ (* -1 y) (* -1 (/ (* x y) t))))) |
| 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 (-.f64 #s(literal 1 binary64) z) 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 (fma.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 (*.f64 (*.f64 x x) z) y) (-.f64 #s(literal 1 binary64) z)) x)) |
(+ (* x (+ 1 (+ (* -1 z) (* (pow x 2) (+ (* -2/15 (/ (* (pow x 2) z) (pow y 4))) (* 1/3 (/ z (pow y 2)))))))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))) |
(fma.f64 (*.f64 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) (-.f64 #s(literal 1 binary64) z)) x)) |
(* y (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))) |
(*.f64 (/.f64 (-.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) |
(+ (* -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 (/.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)))) y (neg.f64 x)) |
(+ (* x (- (* 1/3 (/ (pow x 2) (pow y 2))) 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 (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 (*.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 (*.f64 x x) y)) #s(literal 1 binary64)) x)) |
(+ (* x (- (* (pow x 2) (+ (* -2/15 (/ (pow x 2) (pow y 4))) (* 1/3 (/ 1 (pow y 2))))) 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 (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 (*.f64 (-.f64 (*.f64 (fma.f64 (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) #s(literal -2/15 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (*.f64 x x)) #s(literal 1 binary64)) 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))))))) |
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(* -1 (/ (+ (* -1 x) (* 1/3 (/ (pow x 3) (pow y 2)))) y)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (neg.f64 x)) (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 (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) x)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 y)) #s(literal -1 binary64) #s(literal 0 binary64)) y) x) (neg.f64 y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (+ (* 1/12 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))))) (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (* 1/2 (* x (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))) y)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))) (* -1/2 (pow x 3))) y)) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) y)) |
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) x)) x (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/12 binary64)))) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) x (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)))) x) #s(literal 1/2 binary64) #s(literal 0 binary64))) (neg.f64 y)) (*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) x)) (pow.f64 x #s(literal 3 binary64))))) (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 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))) (-.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)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))) y (/.f64 x z)) z) |
(* z (- (+ t (/ x z)) x)) |
(*.f64 (-.f64 (+.f64 (/.f64 x z) t) 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))))) |
(*.f64 (neg.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))) (-.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)))) (/.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)) |
(* -1 (* z (+ (* -1 (- t x)) (* -1 (/ x z))))) |
(*.f64 (-.f64 (/.f64 (neg.f64 x) z) (-.f64 t x)) (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 z 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))))) 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 z 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))))) (fma.f64 z t x)) |
(+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(fma.f64 (*.f64 z 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))))) (fma.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)))))))))) |
(fma.f64 (*.f64 z 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))))) (fma.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 (- (/ 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))))) y) |
(+ t (* y (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) |
(fma.f64 (-.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))))) y t) |
(+ (* t (+ 1 (* -1/3 (/ (pow t 2) (pow y 2))))) (* y (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) |
(fma.f64 (-.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))))) y (*.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) y) (/.f64 (*.f64 t t) y) #s(literal 1 binary64)) t)) |
(+ (* t (+ 1 (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 4))) (* 1/3 (/ 1 (pow y 2))))))) (* y (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) |
(fma.f64 (-.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))))) y (*.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 t t)) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (*.f64 t t) #s(literal 1 binary64)) t)) |
(- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (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 (*.f64 t 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 (-.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 #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 (*.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))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(+ x (+ (* -1 (* x z)) (* t z))) |
(fma.f64 z (fma.f64 #s(literal -1 binary64) x 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 #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 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 #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 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 #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 (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 #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 (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)) |
(* t (+ z (+ (* -1 (/ (* x z) t)) (/ x t)))) |
(*.f64 (+.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) t) z) 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 (+ y (/ (* x y) t))) |
(*.f64 (fma.f64 x (/.f64 y t) y) t) |
(* -1 (* t (+ (* -1 z) (* -1 (/ (+ x (* -1 (* x z))) t))))) |
(*.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) (neg.f64 t)) z) (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 y) (* -1 (/ (* x y) t))))) |
(*.f64 (neg.f64 (fma.f64 x (/.f64 y t) y)) (neg.f64 t)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 370 |
| 0 | 83 | 345 |
| 1 | 324 | 337 |
| 2 | 2651 | 337 |
| 0 | 8874 | 333 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) |
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) |
(-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) |
(tanh.f64 (/.f64 t y)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 z t))) |
#s(approx (+ (* (- t x) z) x) (*.f64 z t)) |
(*.f64 z t) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x) |
(*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) |
(/.f64 (-.f64 t x) y) |
(/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (*.f64 (+.f64 x t) y)) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (*.f64 (+.f64 x t) y))))) |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (*.f64 (+.f64 x t) y)))) |
(*.f64 y z) |
(*.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) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) #s(approx (tanh (/ x 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))))) |
(*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) #s(approx (tanh (/ x 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)))) |
#s(approx (tanh (/ x y)) (/.f64 x y)) |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (*.f64 (+.f64 x t) y))) |
(*.f64 (+.f64 x t) y) |
#s(approx (tanh (/ x 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)) |
#s(approx (tanh (/ t y)) (/.f64 t y)) |
(/.f64 (*.f64 x x) (pow.f64 y #s(literal 3 binary64))) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) x)) (*.f64 (-.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) x) (*.f64 x x))) (*.f64 (-.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) x) (-.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) x))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) #s(literal 2 binary64))) (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) x))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.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)) #s(approx (tanh (/ x y)) (/.f64 x y))))) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) x)) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) #s(literal 2 binary64)) (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 (*.f64 z y) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.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)) #s(approx (tanh (/ x y)) (/.f64 x y))))) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) #s(literal 2 binary64)))) |
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x))) (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) |
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) |
(fma.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) y x) |
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) z) y x) |
(fma.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) x) |
(fma.f64 z (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) x) |
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) |
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 z y) x) |
(fma.f64 y (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) z) x) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) x))) |
(-.f64 x (*.f64 (neg.f64 z) (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y))) |
(-.f64 x (*.f64 (neg.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y)) z)) |
(-.f64 x (*.f64 (neg.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) (*.f64 z y))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.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)) #s(approx (tanh (/ x y)) (/.f64 x y))))) (pow.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) x) |
(+.f64 x (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) |
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) |
(*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (pow.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(literal 2 binary64))) 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))) 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 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 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 (-.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 (+.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (tanh.f64 (/.f64 t y))) (pow.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(literal 2 binary64)))) (*.f64 (+.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (tanh.f64 (/.f64 t 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)) (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 (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))) (pow.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(literal 3 binary64)))) (*.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))) (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))) |
(tanh.f64 (/.f64 t y)) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.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)) #s(literal 1 binary64)) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y)))) (pow.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 t y)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.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))) (*.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 t y)) #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 t y)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (/.f64 t y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) (exp.f64 (/.f64 (neg.f64 t) y)))) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) #s(literal 2 binary64))) |
(/.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))))) |
#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 t z) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 z y)))) (*.f64 (-.f64 x (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 z y))) (pow.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 z y)) #s(literal 2 binary64)))) (*.f64 (-.f64 x (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 z y))) (-.f64 x (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (*.f64 z y))))) |
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(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x))) (*.f64 (neg.f64 (*.f64 (neg.f64 y) z)) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) #s(approx (tanh (/ x y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) (/.f64 x (pow.f64 y #s(literal 3 binary64))) (pow.f64 y #s(literal -1 binary64))) x))))) |
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x))) (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) #s(approx (tanh (/ x y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) (/.f64 x (pow.f64 y #s(literal 3 binary64))) (pow.f64 y #s(literal -1 binary64))) x))) (*.f64 z y))) |
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (*.f64 (neg.f64 (*.f64 (neg.f64 y) z)) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) #s(approx (tanh (/ x y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) (/.f64 x (pow.f64 y #s(literal 3 binary64))) (pow.f64 y #s(literal -1 binary64))) x))))) |
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) #s(approx (tanh (/ x y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) (/.f64 x (pow.f64 y #s(literal 3 binary64))) (pow.f64 y #s(literal -1 binary64))) x))) (*.f64 z y))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 (*.f64 (neg.f64 y) z)) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) #s(approx (tanh (/ x y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) (/.f64 x (pow.f64 y #s(literal 3 binary64))) (pow.f64 y #s(literal -1 binary64))) x))))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) #s(approx (tanh (/ x y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) (/.f64 x (pow.f64 y #s(literal 3 binary64))) (pow.f64 y #s(literal -1 binary64))) x))) (*.f64 z y))) |
(fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) #s(approx (tanh (/ x y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) (/.f64 x (pow.f64 y #s(literal 3 binary64))) (pow.f64 y #s(literal -1 binary64))) x))) y) z x) |
(fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) #s(approx (tanh (/ x y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) (/.f64 x (pow.f64 y #s(literal 3 binary64))) (pow.f64 y #s(literal -1 binary64))) x))) z) y x) |
(fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) #s(approx (tanh (/ x y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) (/.f64 x (pow.f64 y #s(literal 3 binary64))) (pow.f64 y #s(literal -1 binary64))) x))) (*.f64 z y) x) |
(fma.f64 (*.f64 z y) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) #s(approx (tanh (/ x y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) (/.f64 x (pow.f64 y #s(literal 3 binary64))) (pow.f64 y #s(literal -1 binary64))) x))) x) |
(fma.f64 z (*.f64 y (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) #s(approx (tanh (/ x y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) (/.f64 x (pow.f64 y #s(literal 3 binary64))) (pow.f64 y #s(literal -1 binary64))) x)))) x) |
(fma.f64 y (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) #s(approx (tanh (/ x y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) (/.f64 x (pow.f64 y #s(literal 3 binary64))) (pow.f64 y #s(literal -1 binary64))) x))) z) x) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) #s(approx (tanh (/ x y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) (/.f64 x (pow.f64 y #s(literal 3 binary64))) (pow.f64 y #s(literal -1 binary64))) x))) (*.f64 z y)))) (/.f64 (pow.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) #s(approx (tanh (/ x y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) (/.f64 x (pow.f64 y #s(literal 3 binary64))) (pow.f64 y #s(literal -1 binary64))) x))) (*.f64 z y)) #s(literal 2 binary64)) (-.f64 x (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) #s(approx (tanh (/ x y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) (/.f64 x (pow.f64 y #s(literal 3 binary64))) (pow.f64 y #s(literal -1 binary64))) x))) (*.f64 z y))))) |
(-.f64 x (*.f64 (neg.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) #s(approx (tanh (/ x y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) (/.f64 x (pow.f64 y #s(literal 3 binary64))) (pow.f64 y #s(literal -1 binary64))) x)))) (*.f64 z y))) |
(-.f64 x (*.f64 (neg.f64 y) (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) #s(approx (tanh (/ x y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) (/.f64 x (pow.f64 y #s(literal 3 binary64))) (pow.f64 y #s(literal -1 binary64))) x))) z))) |
(-.f64 x (*.f64 (*.f64 (neg.f64 y) z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) #s(approx (tanh (/ x y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) (/.f64 x (pow.f64 y #s(literal 3 binary64))) (pow.f64 y #s(literal -1 binary64))) x))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) #s(approx (tanh (/ x y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) (/.f64 x (pow.f64 y #s(literal 3 binary64))) (pow.f64 y #s(literal -1 binary64))) x))) (*.f64 z y)) (-.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) #s(approx (tanh (/ x y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) (/.f64 x (pow.f64 y #s(literal 3 binary64))) (pow.f64 y #s(literal -1 binary64))) x))) (*.f64 z y)) x) (*.f64 x x))) (/.f64 (pow.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) #s(approx (tanh (/ x y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) (/.f64 x (pow.f64 y #s(literal 3 binary64))) (pow.f64 y #s(literal -1 binary64))) x))) (*.f64 z y)) #s(literal 3 binary64)) (fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) #s(approx (tanh (/ x y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) (/.f64 x (pow.f64 y #s(literal 3 binary64))) (pow.f64 y #s(literal -1 binary64))) x))) (*.f64 z y)) (-.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) #s(approx (tanh (/ x y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) (/.f64 x (pow.f64 y #s(literal 3 binary64))) (pow.f64 y #s(literal -1 binary64))) x))) (*.f64 z y)) x) (*.f64 x x)))) |
(+.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) #s(approx (tanh (/ x y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) (/.f64 x (pow.f64 y #s(literal 3 binary64))) (pow.f64 y #s(literal -1 binary64))) x))) (*.f64 z y)) x) |
(+.f64 x (*.f64 (neg.f64 (*.f64 (neg.f64 y) z)) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) #s(approx (tanh (/ x y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) (/.f64 x (pow.f64 y #s(literal 3 binary64))) (pow.f64 y #s(literal -1 binary64))) x))))) |
(+.f64 x (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) #s(approx (tanh (/ x y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) (/.f64 x (pow.f64 y #s(literal 3 binary64))) (pow.f64 y #s(literal -1 binary64))) x))) (*.f64 z y))) |
(*.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) #s(approx (tanh (/ x y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) (/.f64 x (pow.f64 y #s(literal 3 binary64))) (pow.f64 y #s(literal -1 binary64))) x))) y) z) |
(*.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) #s(approx (tanh (/ x y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) (/.f64 x (pow.f64 y #s(literal 3 binary64))) (pow.f64 y #s(literal -1 binary64))) x))) z) y) |
(*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) #s(approx (tanh (/ x y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) (/.f64 x (pow.f64 y #s(literal 3 binary64))) (pow.f64 y #s(literal -1 binary64))) x))) (*.f64 z y)) |
(*.f64 (*.f64 z y) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) #s(approx (tanh (/ x y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) (/.f64 x (pow.f64 y #s(literal 3 binary64))) (pow.f64 y #s(literal -1 binary64))) x)))) |
(*.f64 z (*.f64 y (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) #s(approx (tanh (/ x y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) (/.f64 x (pow.f64 y #s(literal 3 binary64))) (pow.f64 y #s(literal -1 binary64))) x))))) |
(*.f64 y (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) #s(approx (tanh (/ x y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) (/.f64 x (pow.f64 y #s(literal 3 binary64))) (pow.f64 y #s(literal -1 binary64))) x))) z)) |
(/.f64 (*.f64 (-.f64 (pow.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) #s(literal 2 binary64)) (pow.f64 #s(approx (tanh (/ x y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) (/.f64 x (pow.f64 y #s(literal 3 binary64))) (pow.f64 y #s(literal -1 binary64))) x)) #s(literal 2 binary64))) (*.f64 z y)) (+.f64 #s(approx (tanh (/ x y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) (/.f64 x (pow.f64 y #s(literal 3 binary64))) (pow.f64 y #s(literal -1 binary64))) x)) #s(approx (tanh (/ t y)) (/.f64 t y)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) #s(literal 3 binary64)) (pow.f64 #s(approx (tanh (/ x y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) (/.f64 x (pow.f64 y #s(literal 3 binary64))) (pow.f64 y #s(literal -1 binary64))) x)) #s(literal 3 binary64))) (*.f64 z y)) (fma.f64 #s(approx (tanh (/ x y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) (/.f64 x (pow.f64 y #s(literal 3 binary64))) (pow.f64 y #s(literal -1 binary64))) x)) (+.f64 #s(approx (tanh (/ x y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) (/.f64 x (pow.f64 y #s(literal 3 binary64))) (pow.f64 y #s(literal -1 binary64))) x)) #s(approx (tanh (/ t y)) (/.f64 t y))) (pow.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (*.f64 z y) (-.f64 (pow.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) #s(literal 2 binary64)) (pow.f64 #s(approx (tanh (/ x y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) (/.f64 x (pow.f64 y #s(literal 3 binary64))) (pow.f64 y #s(literal -1 binary64))) x)) #s(literal 2 binary64)))) (+.f64 #s(approx (tanh (/ x y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) (/.f64 x (pow.f64 y #s(literal 3 binary64))) (pow.f64 y #s(literal -1 binary64))) x)) #s(approx (tanh (/ t y)) (/.f64 t y)))) |
(/.f64 (*.f64 (*.f64 z y) (-.f64 (pow.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) #s(literal 3 binary64)) (pow.f64 #s(approx (tanh (/ x y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) (/.f64 x (pow.f64 y #s(literal 3 binary64))) (pow.f64 y #s(literal -1 binary64))) x)) #s(literal 3 binary64)))) (fma.f64 #s(approx (tanh (/ x y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) (/.f64 x (pow.f64 y #s(literal 3 binary64))) (pow.f64 y #s(literal -1 binary64))) x)) (+.f64 #s(approx (tanh (/ x y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) (/.f64 x (pow.f64 y #s(literal 3 binary64))) (pow.f64 y #s(literal -1 binary64))) x)) #s(approx (tanh (/ t y)) (/.f64 t y))) (pow.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) #s(literal 2 binary64)))) |
#s(approx (tanh (/ x y)) (/.f64 x y)) |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) |
(*.f64 (+.f64 x t) y) |
(*.f64 y (+.f64 x t)) |
(/.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 x t)) y) (-.f64 x t)) |
(/.f64 (*.f64 (+.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) y) (fma.f64 x x (*.f64 t (-.f64 t x)))) |
(/.f64 (*.f64 y (*.f64 (+.f64 x t) (-.f64 x t))) (-.f64 x t)) |
(/.f64 (*.f64 y (+.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (*.f64 t (-.f64 t x)))) |
(fma.f64 x y (*.f64 t y)) |
(fma.f64 y x (*.f64 y t)) |
(fma.f64 y t (*.f64 y x)) |
(fma.f64 t y (*.f64 x y)) |
(+.f64 (*.f64 x y) (*.f64 t y)) |
(+.f64 (*.f64 y t) (*.f64 y x)) |
(+.f64 (*.f64 y x) (*.f64 y t)) |
(+.f64 (*.f64 t y) (*.f64 x y)) |
#s(approx (tanh (/ x y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) (/.f64 x (pow.f64 y #s(literal 3 binary64))) (pow.f64 y #s(literal -1 binary64))) x)) |
#s(approx (tanh (/ t y)) (/.f64 t y)) |
(*.f64 (neg.f64 (/.f64 (neg.f64 x) (pow.f64 y #s(literal 3/2 binary64)))) (neg.f64 (/.f64 (neg.f64 x) (pow.f64 y #s(literal 3/2 binary64))))) |
(*.f64 (neg.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64)))) (neg.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))))) |
(*.f64 (fabs.f64 (/.f64 (neg.f64 x) (pow.f64 y #s(literal 3/2 binary64)))) (fabs.f64 (/.f64 (neg.f64 x) (pow.f64 y #s(literal 3/2 binary64))))) |
(*.f64 (fabs.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64)))) (fabs.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))))) |
(*.f64 (/.f64 (neg.f64 x) (pow.f64 y #s(literal 3/2 binary64))) (/.f64 (neg.f64 x) (pow.f64 y #s(literal 3/2 binary64)))) |
(*.f64 (/.f64 (neg.f64 x) (*.f64 y y)) (/.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) (/.f64 x (pow.f64 y #s(literal 3/2 binary64)))) |
(*.f64 (/.f64 x (*.f64 y y)) (/.f64 x y)) |
(*.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) x) |
(*.f64 (neg.f64 x) (/.f64 (neg.f64 x) (pow.f64 y #s(literal 3 binary64)))) |
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) (*.f64 y y))) |
(*.f64 (/.f64 x y) (/.f64 x (*.f64 y y))) |
(*.f64 x (/.f64 x (pow.f64 y #s(literal 3 binary64)))) |
(pow.f64 (/.f64 (neg.f64 x) (pow.f64 y #s(literal 3/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (neg.f64 x) x) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) |
(/.f64 (/.f64 (*.f64 x x) (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 3/2 binary64))) |
(/.f64 (/.f64 (*.f64 x x) y) (*.f64 y y)) |
(/.f64 (/.f64 (*.f64 x x) (*.f64 y y)) y) |
(/.f64 (*.f64 x x) (neg.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)))) |
(/.f64 (*.f64 x x) (pow.f64 y #s(literal 3 binary64))) |
(neg.f64 (/.f64 (*.f64 (neg.f64 x) x) (pow.f64 y #s(literal 3 binary64)))) |
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal 3 binary64)))) |
Compiled 16 252 to 1 837 computations (88.7% saved)
23 alts after pruning (19 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 346 | 7 | 353 |
| Fresh | 1 | 12 | 13 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 350 | 23 | 373 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 69.5% | (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 z y) x) |
| ▶ | 64.5% | (fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) x) |
| 53.7% | (fma.f64 (*.f64 (/.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))))) (*.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)))) z) y x) | |
| 55.8% | (fma.f64 (*.f64 (/.f64 (-.f64 (*.f64 (expm1.f64 (*.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))))) z) y x) | |
| ✓ | 98.0% | (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) |
| ✓ | 73.3% | (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) |
| 30.3% | (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y))) y) z x) | |
| 44.1% | (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (-.f64 t x) (/.f64 (+.f64 x t) (*.f64 (+.f64 x t) y)))) y) z x) | |
| 47.9% | (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) y) z x) | |
| 56.8% | (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) y) z x) | |
| 15.2% | (fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) | |
| 60.0% | (fma.f64 #s(approx (* (- (tanh (/ t y)) (tanh (/ x y))) z) (/.f64 (*.f64 (*.f64 #s(literal 1 binary64) (-.f64 t x)) z) y)) y x) | |
| 52.5% | (+.f64 x (*.f64 (*.f64 y z) (/.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))))) (*.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)))))) | |
| 52.6% | (+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 (*.f64 (expm1.f64 (*.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))))))) | |
| ▶ | 21.1% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) #s(approx (* (+ x t) y) (*.f64 y t)))))) |
| 24.9% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) #s(approx (* (+ x t) y) (*.f64 x y)))))) | |
| 48.0% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))) | |
| 55.7% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))))) | |
| 48.5% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 (-.f64 (/.f64 (/.f64 t x) y) (/.f64 #s(literal 1 binary64) y)) x))))) | |
| ✓ | 62.2% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) |
| ▶ | 60.0% | #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)) |
| ▶ | 54.9% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (neg.f64 x)) z x)) |
| ✓ | 17.2% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 z t))) |
Compiled 1 305 to 779 computations (40.3% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 t y) | |
| cost-diff | 0 | #s(approx (tanh (/ t y)) (/.f64 t y)) | |
| cost-diff | 0 | (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) | |
| cost-diff | 0 | (fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) x) | |
| cost-diff | 0 | #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) #s(approx (* (+ x t) y) (*.f64 y t)))) | |
| cost-diff | 0 | (*.f64 y z) | |
| cost-diff | 0 | (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) #s(approx (* (+ x t) y) (*.f64 y t))))) | |
| cost-diff | 1 | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) #s(approx (* (+ x t) y) (*.f64 y t)))))) | |
| cost-diff | 0 | (*.f64 (-.f64 (/.f64 t x) #s(literal 1 binary64)) x) | |
| cost-diff | 0 | #s(approx (- t x) (*.f64 (-.f64 (/.f64 t x) #s(literal 1 binary64)) x)) | |
| cost-diff | 0 | (fma.f64 #s(approx (- t x) (*.f64 (-.f64 (/.f64 t x) #s(literal 1 binary64)) x)) z x) | |
| cost-diff | 0 | #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)) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | #s(approx (- t x) (neg.f64 x)) | |
| cost-diff | 0 | (fma.f64 #s(approx (- t x) (neg.f64 x)) z x) | |
| cost-diff | 0 | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (neg.f64 x)) z x)) | |
| cost-diff | 0 | (/.f64 t y) | |
| cost-diff | 0 | (tanh.f64 (/.f64 t y)) | |
| cost-diff | 0 | (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) | |
| cost-diff | 0 | (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 z y) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 370 |
| 0 | 76 | 370 |
| 1 | 149 | 370 |
| 2 | 329 | 370 |
| 3 | 737 | 370 |
| 4 | 2079 | 370 |
| 0 | 8359 | 367 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 z y) x) |
(-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) |
(tanh.f64 (/.f64 t y)) |
(/.f64 t y) |
t |
y |
#s(approx (tanh (/ x y)) (/.f64 x y)) |
(/.f64 x y) |
x |
(*.f64 z y) |
z |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (neg.f64 x)) z x)) |
(fma.f64 #s(approx (- t x) (neg.f64 x)) z x) |
#s(approx (- t x) (neg.f64 x)) |
(neg.f64 x) |
x |
z |
#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 #s(approx (- t x) (*.f64 (-.f64 (/.f64 t x) #s(literal 1 binary64)) x)) z x) |
#s(approx (- t x) (*.f64 (-.f64 (/.f64 t x) #s(literal 1 binary64)) x)) |
(*.f64 (-.f64 (/.f64 t x) #s(literal 1 binary64)) x) |
(-.f64 (/.f64 t x) #s(literal 1 binary64)) |
(/.f64 t x) |
t |
x |
#s(literal 1 binary64) |
z |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) #s(approx (* (+ x t) y) (*.f64 y t)))))) |
x |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) #s(approx (* (+ x t) y) (*.f64 y t))))) |
(*.f64 y z) |
y |
z |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) #s(approx (* (+ x t) y) (*.f64 y t)))) |
(/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) #s(approx (* (+ x t) y) (*.f64 y t))) |
(*.f64 (+.f64 x t) (-.f64 t x)) |
(+.f64 x t) |
t |
(-.f64 t x) |
#s(approx (* (+ x t) y) (*.f64 y t)) |
(*.f64 y t) |
(fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) x) |
(-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
#s(approx (tanh (/ t y)) (/.f64 t y)) |
(/.f64 t y) |
t |
y |
(tanh.f64 (/.f64 x y)) |
(/.f64 x y) |
x |
(*.f64 z y) |
z |
| Outputs |
|---|
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 z y) x) |
(fma.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) x) |
(-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) |
(tanh.f64 (/.f64 t y)) |
(/.f64 t y) |
t |
y |
#s(approx (tanh (/ x y)) (/.f64 x y)) |
(/.f64 x y) |
x |
(*.f64 z y) |
z |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (neg.f64 x)) z x)) |
(fma.f64 #s(approx (- t x) (neg.f64 x)) z x) |
#s(approx (- t x) (neg.f64 x)) |
(neg.f64 x) |
x |
z |
#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 #s(approx (- t x) (*.f64 (-.f64 (/.f64 t x) #s(literal 1 binary64)) x)) z x) |
#s(approx (- t x) (*.f64 (-.f64 (/.f64 t x) #s(literal 1 binary64)) x)) |
(*.f64 (-.f64 (/.f64 t x) #s(literal 1 binary64)) x) |
(-.f64 (/.f64 t x) #s(literal 1 binary64)) |
(/.f64 t x) |
t |
x |
#s(literal 1 binary64) |
z |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) #s(approx (* (+ x t) y) (*.f64 y t)))))) |
(fma.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 (+.f64 x t) #s(approx (* (+ x t) y) (*.f64 y t))) (-.f64 t x))) (*.f64 z y) x) |
x |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) #s(approx (* (+ x t) y) (*.f64 y t))))) |
(*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 (+.f64 x t) #s(approx (* (+ x t) y) (*.f64 y t))) (-.f64 t x))) (*.f64 z y)) |
(*.f64 y z) |
(*.f64 z y) |
y |
z |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) #s(approx (* (+ x t) y) (*.f64 y t)))) |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 (+.f64 x t) #s(approx (* (+ x t) y) (*.f64 y t))) (-.f64 t x))) |
(/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) #s(approx (* (+ x t) y) (*.f64 y t))) |
(*.f64 (/.f64 (+.f64 x t) #s(approx (* (+ x t) y) (*.f64 y t))) (-.f64 t x)) |
(*.f64 (+.f64 x t) (-.f64 t x)) |
(+.f64 x t) |
t |
(-.f64 t x) |
#s(approx (* (+ x t) y) (*.f64 y t)) |
(*.f64 y t) |
(fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) x) |
(-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
#s(approx (tanh (/ t y)) (/.f64 t y)) |
(/.f64 t y) |
t |
y |
(tanh.f64 (/.f64 x y)) |
(/.f64 x y) |
x |
(*.f64 z y) |
z |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.01171875 | (tanh.f64 (/.f64 x y)) | |
| accuracy | 0.16845150283546326 | (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) | |
| accuracy | 3.479152689315184 | (fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) x) | |
| accuracy | 30.253148176642583 | #s(approx (tanh (/ t y)) (/.f64 t y)) | |
| accuracy | 3.5287931156615664 | (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) #s(approx (* (+ x t) y) (*.f64 y t))))) | |
| accuracy | 23.880499451614188 | (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) #s(approx (* (+ x t) y) (*.f64 y t))) | |
| accuracy | 29.32430697689319 | #s(approx (* (+ x t) y) (*.f64 y t)) | |
| accuracy | 42.56971492981418 | #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) #s(approx (* (+ x t) y) (*.f64 y t)))) | |
| accuracy | 0.0 | (-.f64 (/.f64 t x) #s(literal 1 binary64)) | |
| accuracy | 0.0 | #s(approx (- t x) (*.f64 (-.f64 (/.f64 t x) #s(literal 1 binary64)) x)) | |
| accuracy | 8.71044088660529 | (*.f64 (-.f64 (/.f64 t x) #s(literal 1 binary64)) x) | |
| accuracy | 24.16043592995929 | #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)) | |
| accuracy | 0.0 | (fma.f64 #s(approx (- t x) (neg.f64 x)) z x) | |
| accuracy | 0.0 | (neg.f64 x) | |
| accuracy | 24.16043592995929 | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (neg.f64 x)) z x)) | |
| accuracy | 31.89984799052397 | #s(approx (- t x) (neg.f64 x)) | |
| accuracy | 0.0078125 | (tanh.f64 (/.f64 t y)) | |
| accuracy | 0.16845150283546326 | (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) | |
| accuracy | 3.479152689315184 | (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 z y) x) | |
| accuracy | 30.930220406487066 | #s(approx (tanh (/ x y)) (/.f64 x y)) |
| 57.0ms | 214× | 0 | valid |
| 20.0ms | 34× | 2 | valid |
| 3.0ms | 7× | 1 | valid |
| 1.0ms | 1× | 3 | valid |
Compiled 613 to 77 computations (87.4% saved)
ival-sub: 18.0ms (31.8% of total)ival-mult: 14.0ms (24.7% of total)ival-div: 10.0ms (17.7% of total)ival-add: 5.0ms (8.8% of total)ival-tanh: 4.0ms (7.1% of total)adjust: 3.0ms (5.3% of total)ival-neg: 1.0ms (1.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 z y) x) |
(-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) |
(tanh.f64 (/.f64 t y)) |
(/.f64 t y) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (neg.f64 x)) z x)) |
(fma.f64 #s(approx (- t x) (neg.f64 x)) z x) |
#s(approx (- t x) (neg.f64 x)) |
(neg.f64 x) |
#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 #s(approx (- t x) (*.f64 (-.f64 (/.f64 t x) #s(literal 1 binary64)) x)) z x) |
#s(approx (- t x) (*.f64 (-.f64 (/.f64 t x) #s(literal 1 binary64)) x)) |
(*.f64 (-.f64 (/.f64 t x) #s(literal 1 binary64)) x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) #s(approx (* (+ x t) y) (*.f64 y t)))))) |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) #s(approx (* (+ x t) y) (*.f64 y t))))) |
(*.f64 y z) |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) #s(approx (* (+ x t) y) (*.f64 y t)))) |
(fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) x) |
(-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
#s(approx (tanh (/ t y)) (/.f64 t y)) |
#s(approx (tanh (/ x y)) (/.f64 x y)) |
(-.f64 (/.f64 t x) #s(literal 1 binary64)) |
#s(approx (* (+ x t) y) (*.f64 y t)) |
(/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) #s(approx (* (+ x t) y) (*.f64 y t))) |
(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)))))))))) |
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(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (- (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) (* -1/2 (pow x 3))) y)) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) y)) |
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(* z (- (+ t (/ x z)) x)) |
(* -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 (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) |
(+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
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(+ x (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
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(- (+ (/ 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)))))) |
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(* 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))))))))) |
(* t (+ z (+ (* -1 (/ (* x z) t)) (/ x t)))) |
(* t (+ 1 (* -1 (/ x t)))) |
(* t (- (/ 1 x) (/ 1 t))) |
(* t (+ y (/ (* x y) t))) |
(* t (+ (* -1 (/ x (* t y))) (/ 1 y))) |
(* -1 (* t (+ (* -1 z) (* -1 (/ (+ x (* -1 (* x z))) t))))) |
(* -1 (* t (- (/ x t) 1))) |
(* -1 (* t (- (/ 1 t) (/ 1 x)))) |
(* -1 (* t (+ (* -1 y) (* -1 (/ (* x y) t))))) |
(* -1 (* t (- (/ x (* t y)) (/ 1 y)))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | t | @ | inf | ((+ (* (- (tanh (/ t y)) (tanh (/ x y))) (* z y)) x) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (/ t y) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (- t x) (neg x) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (- t x) (* (- (/ t x) 1) 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))) (+ (* (- (tanh (/ t y)) (tanh (/ x y))) (* z y)) x) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (tanh (/ x y)) (- (/ t x) 1) (* (+ x t) y) (/ (* (+ x t) (- t x)) (* (+ x t) y)) (tanh (/ x y))) |
| 4.0ms | y | @ | 0 | ((+ (* (- (tanh (/ t y)) (tanh (/ x y))) (* z y)) x) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (/ t y) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (- t x) (neg x) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (- t x) (* (- (/ t x) 1) 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))) (+ (* (- (tanh (/ t y)) (tanh (/ x y))) (* z y)) x) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (tanh (/ x y)) (- (/ t x) 1) (* (+ x t) y) (/ (* (+ x t) (- t x)) (* (+ x t) y)) (tanh (/ x y))) |
| 4.0ms | t | @ | -inf | ((+ (* (- (tanh (/ t y)) (tanh (/ x y))) (* z y)) x) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (/ t y) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (- t x) (neg x) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (- t x) (* (- (/ t x) 1) 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))) (+ (* (- (tanh (/ t y)) (tanh (/ x y))) (* z y)) x) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (tanh (/ x y)) (- (/ t x) 1) (* (+ x t) y) (/ (* (+ x t) (- t x)) (* (+ x t) y)) (tanh (/ x y))) |
| 3.0ms | x | @ | -inf | ((+ (* (- (tanh (/ t y)) (tanh (/ x y))) (* z y)) x) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (/ t y) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (- t x) (neg x) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (- t x) (* (- (/ t x) 1) 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))) (+ (* (- (tanh (/ t y)) (tanh (/ x y))) (* z y)) x) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (tanh (/ x y)) (- (/ t x) 1) (* (+ x t) y) (/ (* (+ x t) (- t x)) (* (+ x t) y)) (tanh (/ x y))) |
| 3.0ms | y | @ | -inf | ((+ (* (- (tanh (/ t y)) (tanh (/ x y))) (* z y)) x) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (/ t y) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (- t x) (neg x) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (- t x) (* (- (/ t x) 1) 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))) (+ (* (- (tanh (/ t y)) (tanh (/ x y))) (* z y)) x) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (tanh (/ x y)) (- (/ t x) 1) (* (+ x t) y) (/ (* (+ x t) (- t x)) (* (+ x t) y)) (tanh (/ x y))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 586 | 4769 |
| 1 | 2125 | 3206 |
| 0 | 9713 | 3053 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))) |
(+ (* x (+ 1 (* -1 z))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))) |
(+ (* x (+ 1 (+ (* -1 z) (* 1/3 (/ (* (pow x 2) z) (pow y 2)))))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))) |
(+ (* x (+ 1 (+ (* -1 z) (* (pow x 2) (+ (* -2/15 (/ (* (pow x 2) z) (pow y 4))) (* 1/3 (/ z (pow y 2)))))))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))) |
(- (/ (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) |
(+ (* -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))) |
(/ t x) |
(/ (+ t (* -1 x)) x) |
(* t y) |
(+ (* t y) (* x y)) |
(/ t y) |
(+ (* -1 (/ x y)) (/ t y)) |
x |
(* x (+ 1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x))) |
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ 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)))) |
(* 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 |
(- (/ t x) 1) |
(* x y) |
(* x (+ y (/ (* t y) x))) |
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(* -1 (* x (- z 1))) |
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(* -1 (* x (+ 1 (* -1 (/ t x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (* t y) x))))) |
(* -1 (* x (+ (* -1 (/ t (* x y))) (/ 1 y)))) |
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(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) |
(* y z) |
(* y (+ t x)) |
(/ (- t 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))))) |
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(/ (- (+ 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 (* 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) |
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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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(/ (+ x (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) y) |
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(* -1 (/ (- (* -1 t) (* -1 x)) y)) |
(* -1 (/ (- (+ (* -1 t) (* -1 (/ (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) (* -1 x)) y)) |
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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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(+ 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))))))))) |
(* t (+ z (+ (* -1 (/ (* x z) t)) (/ x t)))) |
(* t (+ 1 (* -1 (/ x t)))) |
(* t (- (/ 1 x) (/ 1 t))) |
(* t (+ y (/ (* x y) t))) |
(* t (+ (* -1 (/ x (* t y))) (/ 1 y))) |
(* -1 (* t (+ (* -1 z) (* -1 (/ (+ x (* -1 (* x z))) t))))) |
(* -1 (* t (- (/ x t) 1))) |
(* -1 (* t (- (/ 1 t) (/ 1 x)))) |
(* -1 (* t (+ (* -1 y) (* -1 (/ (* x y) t))))) |
(* -1 (* t (- (/ x (* t y)) (/ 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 (-.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 z y)) |
(+ (* x (+ 1 (* -1 z))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))) |
(fma.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (*.f64 z y) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) |
(+ (* x (+ 1 (+ (* -1 z) (* 1/3 (/ (* (pow x 2) z) (pow y 2)))))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))) |
(fma.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (*.f64 z y) (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (/.f64 z (*.f64 y y)) (-.f64 #s(literal 1 binary64) z)) x)) |
(+ (* x (+ 1 (+ (* -1 z) (* (pow x 2) (+ (* -2/15 (/ (* (pow x 2) z) (pow y 4))) (* 1/3 (/ z (pow y 2)))))))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))) |
(fma.f64 (/.f64 (-.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 t) y)) (exp.f64 (/.f64 t y)))) (*.f64 z y) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 z y) (*.f64 (*.f64 #s(literal -2/15 binary64) (*.f64 x x)) (/.f64 z (pow.f64 y #s(literal 4 binary64))))) (*.f64 x x) (-.f64 #s(literal 1 binary64) 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 z t) |
(+ (* t z) (* x (+ 1 (* -1 z)))) |
(fma.f64 (-.f64 t x) z x) |
t |
(+ t (* -1 x)) |
(-.f64 t x) |
(* -1 x) |
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(+ (* -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))) |
(neg.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) t x) z (/.f64 (fma.f64 #s(literal 0 binary64) z (/.f64 (fma.f64 (neg.f64 (-.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))))) z (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (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 (pow.f64 t #s(literal 4 binary64)) #s(literal -1/12 binary64) (*.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal -1/6 binary64)))))) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) (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 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/12 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/6 binary64)))))))) z) y)) (neg.f64 y))) 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 x (/.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))) 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 (+.f64 (/.f64 (-.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/12 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/6 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)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))) (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) |
(* z (- (+ t (/ x z)) x)) |
(*.f64 (-.f64 (+.f64 (/.f64 x z) t) 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))))) |
(*.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)) |
(* -1 (* z (+ (* -1 (- t x)) (* -1 (/ x z))))) |
(*.f64 (neg.f64 (-.f64 (+.f64 (/.f64 x z) t) x)) (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 z t x)) |
(+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (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 t t) #s(literal -1/3 binary64)) (/.f64 z (*.f64 y 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)))))))))) |
(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 #s(literal 2/15 binary64) (*.f64 t t)) (/.f64 z (pow.f64 y #s(literal 4 binary64))))) (*.f64 t t) z) t x)) |
(- (/ 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 (*.f64 t 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 (-.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 #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 (*.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))) |
(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)))) (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 (-.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)))) (pow.f64 t #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) y) t)) |
(+ x (* -1 (* x z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(+ x (+ (* -1 (* x z)) (* t z))) |
(fma.f64 (-.f64 t x) 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 (/.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 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 (/.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 t t) #s(literal -1/3 binary64)) (/.f64 z (*.f64 y 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 (/.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 #s(literal 2/15 binary64) (*.f64 t t)) (/.f64 z (pow.f64 y #s(literal 4 binary64))))) (pow.f64 t #s(literal 3 binary64)) (*.f64 z t))) |
(* t (+ z (+ (* -1 (/ (* x z) t)) (/ x t)))) |
(*.f64 (+.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) t) z) t) |
(* t (+ 1 (* -1 (/ x t)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x t)) t) |
(* t (- (/ 1 x) (/ 1 t))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) t)) t) |
(* t (+ y (/ (* x y) t))) |
(*.f64 (fma.f64 x (/.f64 y t) y) 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) |
(* -1 (* t (+ (* -1 z) (* -1 (/ (+ x (* -1 (* x z))) t))))) |
(*.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) (neg.f64 t)) z) (neg.f64 t)) |
(* -1 (* t (- (/ x t) 1))) |
(*.f64 (-.f64 (/.f64 x t) #s(literal 1 binary64)) (neg.f64 t)) |
(* -1 (* t (- (/ 1 t) (/ 1 x)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 #s(literal 1 binary64) x)) (neg.f64 t)) |
(* -1 (* t (+ (* -1 y) (* -1 (/ (* x y) t))))) |
(*.f64 (neg.f64 (fma.f64 x (/.f64 y t) y)) (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)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 318 |
| 0 | 76 | 318 |
| 1 | 283 | 318 |
| 2 | 2139 | 318 |
| 0 | 8547 | 315 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 z y) x) |
(-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) |
(tanh.f64 (/.f64 t y)) |
(/.f64 t y) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (neg.f64 x)) z x)) |
(fma.f64 #s(approx (- t x) (neg.f64 x)) z x) |
#s(approx (- t x) (neg.f64 x)) |
(neg.f64 x) |
#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 #s(approx (- t x) (*.f64 (-.f64 (/.f64 t x) #s(literal 1 binary64)) x)) z x) |
#s(approx (- t x) (*.f64 (-.f64 (/.f64 t x) #s(literal 1 binary64)) x)) |
(*.f64 (-.f64 (/.f64 t x) #s(literal 1 binary64)) x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) #s(approx (* (+ x t) y) (*.f64 y t)))))) |
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) #s(approx (* (+ x t) y) (*.f64 y t))))) |
(*.f64 y z) |
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) #s(approx (* (+ x t) y) (*.f64 y t)))) |
(fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) x) |
(-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) |
#s(approx (tanh (/ t y)) (/.f64 t y)) |
#s(approx (tanh (/ x y)) (/.f64 x y)) |
(-.f64 (/.f64 t x) #s(literal 1 binary64)) |
#s(approx (* (+ x t) y) (*.f64 y t)) |
(/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) #s(approx (* (+ x t) y) (*.f64 y t))) |
(tanh.f64 (/.f64 x y)) |
| Outputs |
|---|
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(/.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 x t)) (/.f64 (-.f64 t x) #s(approx (* (+ x t) y) (*.f64 y t)))) (-.f64 x t)) |
(/.f64 (*.f64 (+.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (-.f64 t x) #s(approx (* (+ x t) y) (*.f64 y t)))) (fma.f64 x x (*.f64 t (-.f64 t x)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (+.f64 x t)) (-.f64 t x))) (neg.f64 (neg.f64 #s(approx (* (+ x t) y) (*.f64 y t))))) |
(/.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 x t)) (-.f64 t x)) (*.f64 (-.f64 x t) #s(approx (* (+ x t) y) (*.f64 y t)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 t x)) (*.f64 (fma.f64 x x (*.f64 t (-.f64 t x))) #s(approx (* (+ x t) y) (*.f64 y t)))) |
(/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) #s(approx (* (+ x t) y) (*.f64 y t))) |
(/.f64 (*.f64 (neg.f64 (+.f64 x t)) (-.f64 t x)) (neg.f64 #s(approx (* (+ x t) y) (*.f64 y t)))) |
(neg.f64 (/.f64 (*.f64 (neg.f64 (+.f64 x t)) (-.f64 t x)) #s(approx (* (+ x t) y) (*.f64 y t)))) |
(neg.f64 (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (neg.f64 #s(approx (* (+ x t) y) (*.f64 y t))))) |
(tanh.f64 (/.f64 x y)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y))))) (neg.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))) (neg.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 x y)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 x y))))) (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.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)) #s(literal 1 binary64)) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)))) (pow.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x y)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.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 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 x y)) #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 x y)) #s(literal 1 binary64)) #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 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 x y)) #s(literal 1 binary64)))) |
(/.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 (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 (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 (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))))) |
Compiled 15 710 to 1 597 computations (89.8% saved)
25 alts after pruning (18 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 332 | 4 | 336 |
| Fresh | 0 | 14 | 14 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 4 | 4 |
| Total | 334 | 25 | 359 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 69.5% | (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 z y) x) |
| ✓ | 64.5% | (fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) x) |
| 53.7% | (fma.f64 (*.f64 (/.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))))) (*.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)))) z) y x) | |
| 55.8% | (fma.f64 (*.f64 (/.f64 (-.f64 (*.f64 (expm1.f64 (*.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))))) z) y x) | |
| ✓ | 98.0% | (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) |
| ✓ | 73.3% | (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) |
| 30.3% | (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y))) y) z x) | |
| 26.8% | (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 (-.f64 t x) #s(approx (* (+ x t) y) (*.f64 y t))) (+.f64 x t))) z) y x) | |
| 44.1% | (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (-.f64 t x) (/.f64 (+.f64 x t) (*.f64 (+.f64 x t) y)))) y) z x) | |
| 47.9% | (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) y) z x) | |
| 56.8% | (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) y) z x) | |
| 15.2% | (fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) | |
| 60.0% | (fma.f64 #s(approx (* (- (tanh (/ t y)) (tanh (/ x y))) z) (/.f64 (*.f64 (*.f64 #s(literal 1 binary64) (-.f64 t x)) z) y)) y x) | |
| 52.5% | (+.f64 x (*.f64 (*.f64 y z) (/.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))))) (*.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)))))) | |
| 52.6% | (+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 (*.f64 (expm1.f64 (*.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))))))) | |
| 24.9% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) #s(approx (* (+ x t) y) (*.f64 x y)))))) | |
| 17.9% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 x t)) (/.f64 (-.f64 t x) #s(approx (* (+ x t) y) (*.f64 y t)))) (-.f64 x t))))) | |
| 48.0% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))) | |
| 55.7% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))))) | |
| 48.5% | (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 (-.f64 (/.f64 (/.f64 t x) y) (/.f64 #s(literal 1 binary64) y)) x))))) | |
| ✓ | 62.2% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) |
| 58.0% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (*.f64 #s(approx (- (/ t x) 1) (/.f64 t x)) x)) z x)) | |
| ✓ | 54.9% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (neg.f64 x)) z x)) |
| 30.5% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (- t x) (neg.f64 x)) z) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 #s(approx (- t x) (neg.f64 x)) z) x))) | |
| ✓ | 17.2% | #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 z t))) |
Compiled 1 803 to 666 computations (63.1% 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))))) (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))))) (fma.f64 #s(approx (- t x) (*.f64 #s(approx (- (/ t x) 1) (/.f64 t x)) x)) z x)) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) y) z x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))))) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) y) z x) |
#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 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) |
(fma.f64 #s(approx (* (- (tanh (/ t y)) (tanh (/ x y))) z) (/.f64 (*.f64 (*.f64 #s(literal 1 binary64) (-.f64 t x)) z) y)) y x) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 (-.f64 t x) #s(approx (* (+ x t) y) (*.f64 y t))) (+.f64 x t))) z) y x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) #s(approx (* (+ x t) y) (*.f64 x y)))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) #s(approx (* (+ x t) y) (*.f64 y t)))))) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y))) y) z x) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (-.f64 t x) (/.f64 (+.f64 x t) (*.f64 (+.f64 x t) y)))) y) z x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (*.f64 (+.f64 x t) y))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 (-.f64 (/.f64 (/.f64 t x) y) (/.f64 #s(literal 1 binary64) y)) x))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 x t)) (/.f64 (-.f64 t x) #s(approx (* (+ x t) y) (*.f64 y t)))) (-.f64 x t))))) |
(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) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (- t x) (neg.f64 x)) z) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 #s(approx (- t x) (neg.f64 x)) z) x))) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) |
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) #s(approx (tanh (/ x 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))))) |
(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 (*.f64 (/.f64 (-.f64 (*.f64 (expm1.f64 (*.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))))) z) y x) |
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 (*.f64 (expm1.f64 (*.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))))))) |
(fma.f64 (*.f64 (/.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))))) (*.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)))) z) y x) |
(+.f64 x (*.f64 (*.f64 y z) (/.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))))) (*.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)))))) |
| Outputs |
|---|
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) |
5 calls:
| 54.0ms | t |
| 13.0ms | y |
| 9.0ms | z |
| 9.0ms | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 9.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.0% | 1 | x |
| 98.0% | 1 | y |
| 98.0% | 1 | z |
| 98.0% | 1 | t |
| 98.0% | 1 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
Compiled 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))))) (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))))) (fma.f64 #s(approx (- t x) (*.f64 #s(approx (- (/ t x) 1) (/.f64 t x)) x)) z x)) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) y) z x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))))) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) y) z x) |
#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 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) |
(fma.f64 #s(approx (* (- (tanh (/ t y)) (tanh (/ x y))) z) (/.f64 (*.f64 (*.f64 #s(literal 1 binary64) (-.f64 t x)) z) y)) y x) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 (-.f64 t x) #s(approx (* (+ x t) y) (*.f64 y t))) (+.f64 x t))) z) y x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) #s(approx (* (+ x t) y) (*.f64 x y)))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) #s(approx (* (+ x t) y) (*.f64 y t)))))) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y))) y) z x) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (-.f64 t x) (/.f64 (+.f64 x t) (*.f64 (+.f64 x t) y)))) y) z x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (*.f64 (+.f64 x t) y))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 (-.f64 (/.f64 (/.f64 t x) y) (/.f64 #s(literal 1 binary64) y)) x))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 x t)) (/.f64 (-.f64 t x) #s(approx (* (+ x t) y) (*.f64 y t)))) (-.f64 x t))))) |
(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) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (- t x) (neg.f64 x)) z) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 #s(approx (- t x) (neg.f64 x)) z) x))) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) |
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (*.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) |
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) #s(approx (tanh (/ x 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))))) |
| 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)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) x) |
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) |
5 calls:
| 11.0ms | t |
| 11.0ms | y |
| 8.0ms | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 8.0ms | z |
| 8.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.4% | 3 | x |
| 77.5% | 3 | y |
| 73.3% | 1 | z |
| 82.6% | 3 | t |
| 80.3% | 5 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x 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))))) (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))))) (fma.f64 #s(approx (- t x) (*.f64 #s(approx (- (/ t x) 1) (/.f64 t x)) x)) z x)) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) y) z x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))))) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) y) z x) |
#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 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) |
(fma.f64 #s(approx (* (- (tanh (/ t y)) (tanh (/ x y))) z) (/.f64 (*.f64 (*.f64 #s(literal 1 binary64) (-.f64 t x)) z) y)) y x) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 (-.f64 t x) #s(approx (* (+ x t) y) (*.f64 y t))) (+.f64 x t))) z) y x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) #s(approx (* (+ x t) y) (*.f64 x y)))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) #s(approx (* (+ x t) y) (*.f64 y t)))))) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y))) y) z x) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (-.f64 t x) (/.f64 (+.f64 x t) (*.f64 (+.f64 x t) y)))) y) z x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (*.f64 (+.f64 x t) y))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 (-.f64 (/.f64 (/.f64 t x) y) (/.f64 #s(literal 1 binary64) y)) x))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 x t)) (/.f64 (-.f64 t x) #s(approx (* (+ x t) y) (*.f64 y t)))) (-.f64 x t))))) |
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) |
| Outputs |
|---|
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))))) |
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (neg.f64 x)) z x)) |
2 calls:
| 9.0ms | x |
| 6.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.4% | 3 | x |
| 76.8% | 3 | t |
Compiled 2 to 8 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))))) (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))))) (fma.f64 #s(approx (- t x) (*.f64 #s(approx (- (/ t x) 1) (/.f64 t x)) x)) z x)) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) y) z x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))))) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (neg.f64 x) y))) y) z x) |
#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 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) |
(fma.f64 #s(approx (* (- (tanh (/ t y)) (tanh (/ x y))) z) (/.f64 (*.f64 (*.f64 #s(literal 1 binary64) (-.f64 t x)) z) y)) y x) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 (-.f64 t x) #s(approx (* (+ x t) y) (*.f64 y t))) (+.f64 x t))) z) y x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) #s(approx (* (+ x t) y) (*.f64 x y)))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) #s(approx (* (+ x t) y) (*.f64 y t)))))) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y))) y) z x) |
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (-.f64 t x) (/.f64 (+.f64 x t) (*.f64 (+.f64 x t) y)))) y) z x) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (*.f64 (+.f64 x t) y))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 (-.f64 (/.f64 (/.f64 t x) y) (/.f64 #s(literal 1 binary64) y)) x))))) |
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (*.f64 (+.f64 x t) (-.f64 x t)) (/.f64 (-.f64 t x) #s(approx (* (+ x t) y) (*.f64 y t)))) (-.f64 x t))))) |
| 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) (*.f64 #s(approx (- (/ t x) 1) (/.f64 t x)) x)) z x)) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) |
5 calls:
| 8.0ms | y |
| 6.0ms | z |
| 6.0ms | x |
| 6.0ms | t |
| 6.0ms | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.6% | 4 | z |
| 62.2% | 1 | t |
| 62.2% | 1 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 67.4% | 3 | y |
| 64.2% | 2 | 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))))) (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)) |
| 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 |
|---|---|---|
| 66.7% | 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))))) (fma.f64 #s(approx (- t x) (neg.f64 x)) z x)) |
| Outputs |
|---|
#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 z t))) |
5 calls:
| 15.0ms | 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 | y |
| 1.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.9% | 1 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 54.9% | 1 | t |
| 54.9% | 1 | x |
| 57.1% | 2 | z |
| 54.9% | 1 | y |
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))) |
5 calls:
| 1.0ms | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 1.0ms | t |
| 1.0ms | z |
| 1.0ms | x |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 17.2% | 1 | x |
| 17.2% | 1 | (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) |
| 17.2% | 1 | t |
| 17.2% | 1 | y |
| 17.2% | 1 | z |
Compiled 19 to 28 computations (-47.4% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 36.0ms | 2.76096405549381e-32 | 1.1624856471775785e-29 |
| 17.0ms | -5.167332848400899e+66 | -1.5579935132347271e+59 |
| 40.0ms | 264× | 0 | valid |
| 1.0ms | 8× | 1 | valid |
Compiled 630 to 495 computations (21.4% saved)
ival-div: 24.0ms (70.6% of total)ival-mult: 4.0ms (11.8% of total)ival-tanh: 3.0ms (8.8% of total)ival-add: 1.0ms (2.9% of total)ival-sub: 1.0ms (2.9% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 9.0ms | 1.4148190132173132e+96 | 1.8180334339059755e+96 |
| 15.0ms | -1.1054470558355756e+62 | -3.2854728585324923e+58 |
| 16.0ms | 170× | 0 | valid |
| 1.0ms | 6× | 1 | valid |
Compiled 491 to 371 computations (24.4% saved)
ival-add: 4.0ms (33% of total)ival-div: 3.0ms (24.7% of total)ival-mult: 2.0ms (16.5% of total)ival-tanh: 2.0ms (16.5% of total)ival-sub: 1.0ms (8.2% 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 |
|---|---|---|
| 39.0ms | 3.358141389404263e-65 | 5.8314600606228194e-64 |
| 16.0ms | -1.0581370852320345e-38 | -9.649381646330404e-46 |
| 44.0ms | 247× | 0 | valid |
| 1.0ms | 9× | 1 | valid |
Compiled 914 to 643 computations (29.6% saved)
ival-tanh: 29.0ms (75% of total)ival-div: 4.0ms (10.3% of total)ival-mult: 3.0ms (7.8% of total)ival-sub: 1.0ms (2.6% of total)ival-add: 1.0ms (2.6% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 23.0ms | 5.016836317169353e-17 | 4.231351128473037e-10 |
| 15.0ms | -2.3974788423693918e-101 | -1.6337795085485513e-105 |
| 25.0ms | 258× | 0 | valid |
| 2.0ms | 14× | 1 | valid |
Compiled 817 to 597 computations (26.9% saved)
ival-div: 10.0ms (51% of total)ival-mult: 4.0ms (20.4% of total)ival-tanh: 3.0ms (15.3% of total)ival-sub: 1.0ms (5.1% of total)ival-add: 1.0ms (5.1% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 2.1912830468020006e+278 | 5.3166205667968997e+281 |
| 8.0ms | 116× | 0 | valid |
| 2.0ms | 12× | 1 | valid |
Compiled 434 to 315 computations (27.4% saved)
ival-div: 2.0ms (28.3% of total)ival-mult: 2.0ms (28.3% of total)ival-tanh: 2.0ms (28.3% of total)ival-sub: 1.0ms (14.2% of total)ival-add: 1.0ms (14.2% 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: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 82 | 339 |
| 1 | 148 | 339 |
| 2 | 261 | 339 |
| 3 | 507 | 339 |
| 4 | 1469 | 339 |
| 5 | 7537 | 339 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) |
(if (<=.f64 t #s(literal -11599999999999999983789846528442571280092669907553611400871936 binary64)) (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) (if (<=.f64 t #s(literal 1598517415830675/1427247692705959881058285969449495136382746624 binary64)) (fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 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 x #s(literal -1900000000000000046560326335036623953059522465874992777134080 binary64)) (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))))) (if (<=.f64 x #s(literal 1600000000000000032350206603449515181721754117142972385820442969932806407997062894973916524052480 binary64)) (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (neg.f64 x)) z x)))) |
(if (<=.f64 y #s(literal -2236217493231505/784637716923335095479473677900958302012794430558004314112 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) (if (<=.f64 y #s(literal 4298202352489177/7410693711188236507108543040556026102609279018600996098525285376506440296955904 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (*.f64 #s(approx (- (/ t x) 1) (/.f64 t x)) 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 -3703788582461081/157608024785577916849116160400574455220318957081861786671793173616982887085988842445657065019539662563226511961227264 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) (if (<=.f64 y #s(literal 215500602038799/158456325028528675187087900672 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 2500000000000000081955614957155245621426763207553733910658333943602356507993435839819835946681029482634543743954560377046754086692276739239984977753232606302811947010614050164538183180887873991225821372281275751572731503481112089130327371412065011555196964192027137764253161750528 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 z t)))) |
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 z t))) |
| Outputs |
|---|
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) |
(if (<=.f64 t #s(literal -11599999999999999983789846528442571280092669907553611400871936 binary64)) (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) (if (<=.f64 t #s(literal 1598517415830675/1427247692705959881058285969449495136382746624 binary64)) (fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 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 t #s(literal -11599999999999999983789846528442571280092669907553611400871936 binary64)) (not (<=.f64 t #s(literal 1598517415830675/1427247692705959881058285969449495136382746624 binary64)))) (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) (fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 z y) x)) |
(if (<=.f64 x #s(literal -1900000000000000046560326335036623953059522465874992777134080 binary64)) (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))))) (if (<=.f64 x #s(literal 1600000000000000032350206603449515181721754117142972385820442969932806407997062894973916524052480 binary64)) (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (neg.f64 x)) z x)))) |
(if (<=.f64 y #s(literal -2236217493231505/784637716923335095479473677900958302012794430558004314112 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) (if (<=.f64 y #s(literal 4298202352489177/7410693711188236507108543040556026102609279018600996098525285376506440296955904 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (*.f64 #s(approx (- (/ t x) 1) (/.f64 t x)) 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 -2236217493231505/784637716923335095479473677900958302012794430558004314112 binary64)) (not (<=.f64 y #s(literal 4298202352489177/7410693711188236507108543040556026102609279018600996098525285376506440296955904 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) (*.f64 #s(approx (- (/ t x) 1) (/.f64 t x)) x)) z x))) |
(if (<=.f64 y #s(literal -3703788582461081/157608024785577916849116160400574455220318957081861786671793173616982887085988842445657065019539662563226511961227264 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) (if (<=.f64 y #s(literal 215500602038799/158456325028528675187087900672 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 -3703788582461081/157608024785577916849116160400574455220318957081861786671793173616982887085988842445657065019539662563226511961227264 binary64)) (not (<=.f64 y #s(literal 215500602038799/158456325028528675187087900672 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 2500000000000000081955614957155245621426763207553733910658333943602356507993435839819835946681029482634543743954560377046754086692276739239984977753232606302811947010614050164538183180887873991225821372281275751572731503481112089130327371412065011555196964192027137764253161750528 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 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 | 586 | 4769 |
| 1 | 2125 | 3206 |
| 0 | 9713 | 3053 |
| 0 | 621 | 5764 |
| 1 | 2262 | 3852 |
| 0 | 9734 | 3662 |
| 0 | 35 | 250 |
| 0 | 58 | 249 |
| 1 | 242 | 249 |
| 2 | 1883 | 249 |
| 0 | 8447 | 246 |
| 0 | 495 | 4459 |
| 1 | 1796 | 2917 |
| 0 | 9484 | 2762 |
| 0 | 12 | 48 |
| 0 | 20 | 48 |
| 1 | 93 | 48 |
| 2 | 780 | 48 |
| 0 | 8262 | 47 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 598 to 270 computations (54.8% saved)
Compiled 738 to 218 computations (70.5% saved)
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