
Time bar (total: 11.6s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 4 |
| 6.7% | 6.2% | 87.4% | 0.1% | 0% | 6.2% | 0% | 5 |
| 20.7% | 18.7% | 71.8% | 0.1% | 0% | 9.4% | 0% | 6 |
| 34.5% | 29.7% | 56.2% | 0.1% | 0% | 14% | 0% | 7 |
| 50.5% | 42.1% | 41.4% | 0.1% | 0% | 16.4% | 0% | 8 |
| 61.4% | 49.6% | 31.2% | 0.1% | 0% | 19.1% | 0% | 9 |
| 72.2% | 57.4% | 22% | 0.1% | 0% | 20.5% | 0% | 10 |
| 79% | 61.6% | 16.4% | 0.1% | 0% | 22% | 0% | 11 |
| 85.3% | 65.9% | 11.4% | 0.1% | 0% | 22.7% | 0% | 12 |
Compiled 13 to 10 computations (23.1% saved)
| 1.1s | 3 749× | 1 | valid |
| 465.0ms | 4 507× | 0 | valid |
| 20.0ms | 276× | 0 | invalid |
ival-log: 624.0ms (53.7% of total)ival-div: 183.0ms (15.8% of total)ival-mult: 115.0ms (9.9% of total)ival-exp: 105.0ms (9% of total)ival-add: 73.0ms (6.3% of total)adjust: 49.0ms (4.2% of total)ival-true: 7.0ms (0.6% of total)ival-assert: 4.0ms (0.3% of total)| 1× | egg-herbie |
| 628× | div-sub |
| 418× | times-frac |
| 414× | associate-/r* |
| 290× | distribute-lft-in |
| 288× | associate-*r/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 65 |
| 1 | 60 | 51 |
| 2 | 125 | 49 |
| 3 | 333 | 49 |
| 4 | 702 | 49 |
| 5 | 1140 | 47 |
| 6 | 1569 | 47 |
| 7 | 2227 | 47 |
| 8 | 2558 | 47 |
| 9 | 2721 | 47 |
| 10 | 2951 | 47 |
| 11 | 3125 | 47 |
| 12 | 3254 | 47 |
| 13 | 3295 | 47 |
| 14 | 3295 | 47 |
| 15 | 3299 | 47 |
| 0 | 8 | 11 |
| 0 | 14 | 11 |
| 1 | 18 | 9 |
| 2 | 21 | 9 |
| 3 | 21 | 9 |
| 0 | 21 | 9 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
| Outputs |
|---|
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 165 | 35 | (4.422211916649421e+283 -1.1406217139515312e-68) | 1 | (-9.991925821488647e-307 -43030198.41713987) | (log.f64 (/.f64 x (+.f64 x y))) |
| 39 | 0 | - | 5 | (-1.3418026519662536e+294 -2.6247872715086014e-26) | (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))) |
| 0 | 0 | - | 0 | - | (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
| 0 | 0 | - | 0 | - | (/.f64 x (+.f64 x y)) |
| 0 | 0 | - | 0 | - | (+.f64 x y) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
log.f64 | (log.f64 (/.f64 x (+.f64 x y))) | sensitivity | 170 | 0 |
*.f64 | (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))) | n*u | 34 | 0 |
log.f64 | (log.f64 (/.f64 x (+.f64 x y))) | uflow-rescue | 29 | 0 |
| ↳ | (log.f64 (/.f64 x (+.f64 x y))) | underflow | 34 | |
| ↳ | (/.f64 x (+.f64 x y)) | underflow | 29 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 73 | 0 |
| - | 126 | 57 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 73 | 0 | 0 |
| - | 126 | 0 | 57 |
| number | freq |
|---|---|
| 0 | 57 |
| 1 | 165 |
| 2 | 34 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 73.0ms | 242× | 1 | valid |
| 36.0ms | 78× | 2 | valid |
| 19.0ms | 192× | 0 | valid |
Compiled 118 to 36 computations (69.5% saved)
ival-log: 61.0ms (58.9% of total)ival-div: 14.0ms (13.5% of total)ival-mult: 11.0ms (10.6% of total)ival-exp: 7.0ms (6.8% of total)ival-add: 6.0ms (5.8% of total)adjust: 5.0ms (4.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 73.3% | (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
Compiled 13 to 8 computations (38.5% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (log.f64 (/.f64 x (+.f64 x y))) |
| ✓ | cost-diff | 0 | (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))) |
| ✓ | cost-diff | 0 | (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
| ✓ | cost-diff | 6656 | (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) |
| 6× | lower-exp.f32 |
| 4× | lift-/.f64 |
| 4× | exp-prod |
| 4× | lower-pow.f64 |
| 4× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 44 |
| 0 | 14 | 44 |
| 1 | 18 | 40 |
| 2 | 21 | 40 |
| 3 | 21 | 40 |
| 0 | 21 | 40 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
(exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) |
(*.f64 x (log.f64 (/.f64 x (+.f64 x y)))) |
x |
(log.f64 (/.f64 x (+.f64 x y))) |
(/.f64 x (+.f64 x y)) |
(+.f64 x y) |
y |
| Outputs |
|---|
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x) |
(exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) |
(pow.f64 (/.f64 x (+.f64 x y)) x) |
(*.f64 x (log.f64 (/.f64 x (+.f64 x y)))) |
x |
(log.f64 (/.f64 x (+.f64 x y))) |
(/.f64 x (+.f64 x y)) |
(+.f64 x y) |
y |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (/.f64 x (+.f64 x y)) |
| ✓ | accuracy | 100.0% | (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
| ✓ | accuracy | 86.2% | (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))) |
| ✓ | accuracy | 41.5% | (log.f64 (/.f64 x (+.f64 x y))) |
| 37.0ms | 121× | 1 | valid |
| 16.0ms | 39× | 2 | valid |
| 8.0ms | 96× | 0 | valid |
Compiled 46 to 10 computations (78.3% saved)
ival-log: 31.0ms (62.1% of total)ival-div: 7.0ms (14% of total)ival-add: 3.0ms (6% of total)ival-exp: 3.0ms (6% of total)ival-mult: 3.0ms (6% of total)adjust: 2.0ms (4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))))> |
#<alt (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x)> |
#<alt (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))> |
#<alt (log.f64 (/.f64 x (+.f64 x y)))> |
#<alt (/.f64 x (+.f64 x y))> |
| Outputs |
|---|
#<alt 1> |
#<alt (+ 1 (* x (+ (log x) (log (/ 1 y)))))> |
#<alt (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y)))))))> |
#<alt (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y)))))))> |
#<alt (exp (* -1 y))> |
#<alt (+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)))> |
#<alt (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2))))> |
#<alt (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (+ (/ (* (exp (* -1 y)) (+ (* 1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (+ (* 1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (pow x 3)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))))> |
#<alt (exp (* -1 y))> |
#<alt (+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)))> |
#<alt (+ (exp (* -1 y)) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) x)) (* -1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x)))> |
#<alt (+ (exp (* -1 y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 y)) (+ (* -1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) x)) (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2))))) x)) (* -1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x)))> |
#<alt 1> |
#<alt (+ 1 (* -1 y))> |
#<alt (+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1)))> |
#<alt (+ 1 (* y (- (* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) 1)))> |
#<alt (exp (* x (+ (log x) (log (/ 1 y)))))> |
#<alt (+ (exp (* x (+ (log x) (log (/ 1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)))> |
#<alt (+ (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (pow y 2))))> |
#<alt (+ (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 6)) (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))))))) (pow y 3)) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (pow y 2)))))> |
#<alt (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))> |
#<alt (+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y)))> |
#<alt (+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)))> |
#<alt (+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) y)) (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4))))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)))> |
#<alt (/ 1 x)> |
#<alt (/ (+ 1 (* x (+ (log x) (log (/ 1 y))))) x)> |
#<alt (/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) x)> |
#<alt (/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) x)> |
#<alt (/ (exp (* -1 y)) x)> |
#<alt (/ (+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x)> |
#<alt (/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))) x)> |
#<alt (/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (+ (/ (* (exp (* -1 y)) (+ (* 1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (+ (* 1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (pow x 3)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2))))) x)> |
#<alt (/ (exp (* -1 y)) x)> |
#<alt (* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x))> |
#<alt (* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (/ (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) x)) x))) x))> |
#<alt (* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2))))) (/ (* (exp (* -1 y)) (+ (* -1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) x)) x)) (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x))) x))> |
#<alt (/ 1 x)> |
#<alt (+ (* -1 (/ y x)) (/ 1 x))> |
#<alt (+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))> |
#<alt (+ (* y (- (* y (+ (* -1 (/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) (/ 1 x))) (/ 1 x))> |
#<alt (/ (exp (* x (+ (log x) (log (/ 1 y))))) x)> |
#<alt (+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (exp (* x (+ (log x) (log (/ 1 y))))) x))> |
#<alt (+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2)))))> |
#<alt (+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (+ (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 6)) (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))))))) (* x (pow y 3))) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2))))))> |
#<alt (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)> |
#<alt (+ (* -1 (/ (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x y))) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) (* x y))) (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) x)) y)) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x))> |
#<alt (* x (+ (log x) (log (/ 1 y))))> |
#<alt (* x (+ (log x) (+ (log (/ 1 y)) (* -1 (/ x y)))))> |
#<alt (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (/ x (pow y 2))) (/ 1 y))))))> |
#<alt (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* x (+ (* -1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))))))> |
#<alt (* -1 y)> |
#<alt (+ (* -1 y) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x)))> |
#<alt (+ (* -1 y) (+ (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (pow x 2))) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x))))> |
#<alt (+ (* -1 y) (+ (* 1/24 (/ (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4))))) (pow x 3))) (+ (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (pow x 2))) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x)))))> |
#<alt (* -1 y)> |
#<alt (+ (* -1 y) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x)))> |
#<alt (+ (* -1 y) (* -1 (/ (+ (* -1/2 (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) x))) x)))> |
#<alt (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/24 (/ (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4))))) x))) x)) (* -1/2 (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) x)))> |
#<alt (* -1 y)> |
#<alt (* y (- (* 1/2 (/ y x)) 1))> |
#<alt (* y (- (* y (+ (* -1/3 (/ y (pow x 2))) (* 1/2 (/ 1 x)))) 1))> |
#<alt (* y (- (* y (+ (* y (- (* 1/4 (/ y (pow x 3))) (* 1/3 (/ 1 (pow x 2))))) (* 1/2 (/ 1 x)))) 1))> |
#<alt (* x (+ (log x) (log (/ 1 y))))> |
#<alt (+ (* -1 (/ (pow x 2) y)) (* x (+ (log x) (log (/ 1 y)))))> |
#<alt (+ (* -1 (/ (pow x 2) y)) (+ (* 1/2 (/ (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))) (pow y 2))) (* x (+ (log x) (log (/ 1 y))))))> |
#<alt (+ (* -1 (/ (pow x 2) y)) (+ (* 1/6 (/ (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))) (pow y 3))) (+ (* 1/2 (/ (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))) (pow y 2))) (* x (+ (log x) (log (/ 1 y)))))))> |
#<alt (* x (+ (log (* -1 x)) (log (/ -1 y))))> |
#<alt (+ (* -1 (/ (pow x 2) y)) (* x (+ (log (* -1 x)) (log (/ -1 y)))))> |
#<alt (+ (* -1 (/ (+ (* -1/2 (/ (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))) y)) (pow x 2)) y)) (* x (+ (log (* -1 x)) (log (/ -1 y)))))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3))))) y)) (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))) y)) (pow x 2)) y)) (* x (+ (log (* -1 x)) (log (/ -1 y)))))> |
#<alt (+ (log x) (log (/ 1 y)))> |
#<alt (+ (log x) (+ (log (/ 1 y)) (* -1 (/ x y))))> |
#<alt (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (/ x (pow y 2))) (/ 1 y)))))> |
#<alt (+ (log x) (+ (log (/ 1 y)) (* x (- (* x (+ (* -1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))))> |
#<alt (* -1 (/ y x))> |
#<alt (/ (+ (* -1 y) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x))) x)> |
#<alt (/ (+ (* -1 y) (+ (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (pow x 2))) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x)))) x)> |
#<alt (/ (+ (* -1 y) (+ (* 1/24 (/ (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4))))) (pow x 3))) (+ (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (pow x 2))) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x))))) x)> |
#<alt (* -1 (/ y x))> |
#<alt (* -1 (/ (+ y (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x))) x))> |
#<alt (* -1 (/ (+ y (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) x)) (* 1/2 (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) x))) x))> |
#<alt (* -1 (/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4))))) x)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) x)) (* 1/2 (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) x))) x))> |
#<alt (* -1 (/ y x))> |
#<alt (* y (- (* 1/2 (/ y (pow x 2))) (/ 1 x)))> |
#<alt (* y (- (* y (+ (* -1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x)))> |
#<alt (* y (- (* y (+ (* y (- (* 1/4 (/ y (pow x 4))) (* 1/3 (/ 1 (pow x 3))))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x)))> |
#<alt (+ (log x) (log (/ 1 y)))> |
#<alt (+ (log x) (+ (log (/ 1 y)) (* -1 (/ x y))))> |
#<alt (+ (log x) (+ (log (/ 1 y)) (+ (* -1 (/ x y)) (* 1/2 (/ (+ (* -1 (pow x 2)) (* 2 (pow x 2))) (pow y 2))))))> |
#<alt (+ (log x) (+ (log (/ 1 y)) (+ (* -1 (/ x y)) (+ (* 1/6 (/ (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3)))) (pow y 3))) (* 1/2 (/ (+ (* -1 (pow x 2)) (* 2 (pow x 2))) (pow y 2)))))))> |
#<alt (+ (log (* -1 x)) (log (/ -1 y)))> |
#<alt (+ (log (* -1 x)) (+ (log (/ -1 y)) (* -1 (/ x y))))> |
#<alt (+ (log (* -1 x)) (+ (log (/ -1 y)) (* -1 (/ (+ x (* -1/2 (/ (+ (* -1 (pow x 2)) (* 2 (pow x 2))) y))) y))))> |
#<alt (+ (log (* -1 x)) (+ (log (/ -1 y)) (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))) y)) (* 1/2 (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) y))) y))))> |
#<alt (/ x y)> |
#<alt (* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))> |
#<alt (* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))> |
#<alt (* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))> |
#<alt 1> |
#<alt (+ 1 (* -1 (/ y x)))> |
#<alt (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))> |
#<alt (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))> |
#<alt 1> |
#<alt (+ 1 (* -1 (/ y x)))> |
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))> |
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))> |
#<alt 1> |
#<alt (+ 1 (* -1 (/ y x)))> |
#<alt (+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))> |
#<alt (+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))> |
#<alt (/ x y)> |
#<alt (/ (+ x (* -1 (/ (pow x 2) y))) y)> |
#<alt (/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)> |
#<alt (/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)> |
#<alt (/ x y)> |
#<alt (* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))> |
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))> |
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))> |
30 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | (/ (exp (* x (log (/ x (+ x y))))) x) |
| 2.0ms | x | @ | inf | (exp (* x (log (/ x (+ x y))))) |
| 2.0ms | x | @ | -inf | (exp (* x (log (/ x (+ x y))))) |
| 2.0ms | y | @ | inf | (exp (* x (log (/ x (+ x y))))) |
| 2.0ms | x | @ | -inf | (/ (exp (* x (log (/ x (+ x y))))) x) |
| 1× | batch-egg-rewrite |
| 4 200× | lower-/.f32 |
| 4 196× | lower-/.f64 |
| 3 466× | lower-*.f32 |
| 3 464× | lower-*.f64 |
| 1 982× | lower-pow.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 39 |
| 0 | 14 | 39 |
| 1 | 48 | 35 |
| 2 | 276 | 35 |
| 3 | 2526 | 35 |
| 0 | 8637 | 35 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) |
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
(*.f64 x (log.f64 (/.f64 x (+.f64 x y)))) |
(log.f64 (/.f64 x (+.f64 x y))) |
(/.f64 x (+.f64 x y)) |
| Outputs |
|---|
(exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (+.f64 x y) x) x)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 x (fma.f64 (log.f64 (/.f64 x (+.f64 x y))) #s(literal 1/2 binary64) (*.f64 (log.f64 (/.f64 x (+.f64 x y))) #s(literal 1/2 binary64))))) |
(exp.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (*.f64 (log.f64 (/.f64 x (+.f64 x y))) #s(literal 1/2 binary64))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) x)) (neg.f64 x))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 (+.f64 x x))) (*.f64 (log.f64 (/.f64 x (+.f64 x y))) #s(literal 1/2 binary64)))) |
(exp.f64 (*.f64 (neg.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (*.f64 x (*.f64 (log.f64 (/.f64 x (+.f64 x y))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (fma.f64 x (*.f64 (log.f64 (/.f64 x (+.f64 x y))) #s(literal 1/2 binary64)) (*.f64 x (*.f64 (log.f64 (/.f64 x (+.f64 x y))) #s(literal 1/2 binary64))))) |
(exp.f64 (neg.f64 (neg.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))))) |
(exp.f64 (-.f64 (*.f64 x (log.f64 x)) (*.f64 x (log.f64 (+.f64 x y))))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (/.f64 x (+.f64 x y)) x))) |
(neg.f64 (neg.f64 (pow.f64 (/.f64 x (+.f64 x y)) x))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 x y) x) x)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 (/.f64 x (+.f64 x y))) #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) x)) x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 (+.f64 x y) x) x))) |
(/.f64 (exp.f64 (*.f64 x (log.f64 x))) (exp.f64 (*.f64 x (log.f64 (+.f64 x y))))) |
(/.f64 (exp.f64 (*.f64 x (log.f64 (neg.f64 x)))) (exp.f64 (*.f64 x (log.f64 (-.f64 (neg.f64 x) y))))) |
(/.f64 (*.f64 (exp.f64 (*.f64 x (log.f64 x))) #s(literal 1 binary64)) (exp.f64 (*.f64 x (log.f64 (+.f64 x y))))) |
(/.f64 (neg.f64 (exp.f64 (*.f64 x (log.f64 x)))) (neg.f64 (exp.f64 (*.f64 x (log.f64 (+.f64 x y)))))) |
(/.f64 (pow.f64 (exp.f64 x) (log.f64 #s(literal -1 binary64))) (pow.f64 (exp.f64 x) (log.f64 (/.f64 (-.f64 (neg.f64 x) y) x)))) |
(/.f64 (pow.f64 (exp.f64 x) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 (+.f64 x y)) (log.f64 (*.f64 x (+.f64 x y))) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) (pow.f64 (exp.f64 x) (/.f64 (pow.f64 (log.f64 (+.f64 x y)) #s(literal 3 binary64)) (fma.f64 (log.f64 (+.f64 x y)) (log.f64 (*.f64 x (+.f64 x y))) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))) |
(/.f64 (pow.f64 (exp.f64 x) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (+.f64 x y))))) (pow.f64 (exp.f64 x) (/.f64 (pow.f64 (log.f64 (+.f64 x y)) #s(literal 2 binary64)) (log.f64 (*.f64 x (+.f64 x y)))))) |
(/.f64 (pow.f64 (exp.f64 (+.f64 x x)) (/.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64))) (pow.f64 (exp.f64 (+.f64 x x)) (/.f64 (log.f64 (-.f64 (neg.f64 x) y)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (exp.f64 (*.f64 x (log.f64 x))) #s(literal 1 binary64))) (neg.f64 (exp.f64 (*.f64 x (log.f64 (+.f64 x y)))))) |
(/.f64 (neg.f64 (exp.f64 (*.f64 x (log.f64 (neg.f64 x))))) (neg.f64 (exp.f64 (*.f64 x (log.f64 (-.f64 (neg.f64 x) y)))))) |
(/.f64 (neg.f64 (neg.f64 (exp.f64 (*.f64 x (log.f64 x))))) (neg.f64 (neg.f64 (exp.f64 (*.f64 x (log.f64 (+.f64 x y))))))) |
(pow.f64 (/.f64 x (+.f64 x y)) x) |
(pow.f64 (/.f64 x (+.f64 x y)) (*.f64 (neg.f64 x) #s(literal -1 binary64))) |
(pow.f64 (/.f64 x (+.f64 x y)) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64)))) |
(pow.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 x) (log.f64 (/.f64 x (+.f64 x y)))) |
(pow.f64 (exp.f64 x) (fma.f64 (log.f64 (/.f64 x (+.f64 x y))) #s(literal 1/2 binary64) (*.f64 (log.f64 (/.f64 x (+.f64 x y))) #s(literal 1/2 binary64)))) |
(pow.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) (*.f64 (log.f64 (/.f64 x (+.f64 x y))) #s(literal 1/2 binary64)))) |
(pow.f64 (exp.f64 x) (*.f64 (*.f64 (log.f64 (/.f64 x (+.f64 x y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
(pow.f64 (/.f64 (+.f64 x y) x) (neg.f64 x)) |
(pow.f64 (/.f64 (+.f64 x y) x) (*.f64 #s(literal 1 binary64) (neg.f64 x))) |
(pow.f64 (pow.f64 (/.f64 (+.f64 x y) x) x) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (+.f64 x x)) (*.f64 (log.f64 (/.f64 x (+.f64 x y))) #s(literal 1/2 binary64))) |
(pow.f64 (pow.f64 (/.f64 x (+.f64 x y)) (+.f64 x x)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 x (+.f64 x y)) (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64)) (log.f64 (/.f64 (+.f64 x y) x))) |
(pow.f64 (pow.f64 (exp.f64 x) (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 x y)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (+.f64 x y)) (log.f64 (*.f64 x (+.f64 x y))) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) |
(pow.f64 (pow.f64 (exp.f64 x) (*.f64 (log.f64 (*.f64 x (+.f64 x y))) (log.f64 (/.f64 x (+.f64 x y))))) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 x (+.f64 x y))))) |
(pow.f64 (*.f64 (/.f64 x (+.f64 x y)) (/.f64 x (+.f64 x y))) (/.f64 x #s(literal 2 binary64))) |
(*.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) #s(literal 1 binary64)) |
(*.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) (pow.f64 (/.f64 (-.f64 x y) (-.f64 x y)) (neg.f64 x))) |
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (+.f64 x y)) x)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 x (+.f64 x y)) x))) |
(*.f64 (exp.f64 (*.f64 x (log.f64 x))) (exp.f64 (*.f64 x (neg.f64 (log.f64 (+.f64 x y)))))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (exp.f64 (*.f64 x (log.f64 (neg.f64 x)))) (pow.f64 (exp.f64 x) (neg.f64 (log.f64 (-.f64 (neg.f64 x) y))))) |
(*.f64 (exp.f64 (*.f64 x (neg.f64 (log.f64 (+.f64 x y))))) (exp.f64 (*.f64 x (log.f64 x)))) |
(*.f64 (pow.f64 x x) (pow.f64 (+.f64 x y) (neg.f64 x))) |
(*.f64 (pow.f64 (+.f64 x y) (neg.f64 x)) (pow.f64 x x)) |
(*.f64 (pow.f64 (+.f64 x y) (neg.f64 x)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (neg.f64 x))) |
(*.f64 (pow.f64 (+.f64 x y) (neg.f64 x)) (pow.f64 (/.f64 (-.f64 x y) (*.f64 x (-.f64 x y))) (neg.f64 x))) |
(*.f64 (pow.f64 (neg.f64 x) x) (pow.f64 (-.f64 (neg.f64 x) y) (neg.f64 x))) |
(*.f64 (pow.f64 (-.f64 (neg.f64 x) y) (neg.f64 x)) (pow.f64 (neg.f64 x) x)) |
(*.f64 (pow.f64 (/.f64 x (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) x) (pow.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) x)) |
(*.f64 (pow.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) x) (pow.f64 (/.f64 x (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) x)) |
(*.f64 (pow.f64 (/.f64 x (*.f64 (+.f64 x y) (-.f64 x y))) x) (pow.f64 (-.f64 x y) x)) |
(*.f64 (pow.f64 (-.f64 x y) x) (pow.f64 (/.f64 x (*.f64 (+.f64 x y) (-.f64 x y))) x)) |
(*.f64 (pow.f64 (/.f64 x (+.f64 x y)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (/.f64 x (+.f64 x y)) (/.f64 x #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (neg.f64 x)) (pow.f64 (/.f64 (+.f64 x y) (*.f64 x (fma.f64 x (-.f64 x y) (*.f64 y y)))) (neg.f64 x))) |
(*.f64 (pow.f64 (exp.f64 x) (log.f64 (/.f64 x (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))))) (exp.f64 (*.f64 x (log.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)))))) |
(*.f64 (pow.f64 (exp.f64 x) (log.f64 (/.f64 x (*.f64 (+.f64 x y) (-.f64 x y))))) (exp.f64 (*.f64 x (log.f64 (-.f64 x y))))) |
(*.f64 (pow.f64 #s(literal -1 binary64) x) (pow.f64 (neg.f64 (/.f64 x (+.f64 x y))) x)) |
(*.f64 (pow.f64 #s(literal -1 binary64) (neg.f64 x)) (pow.f64 (/.f64 (-.f64 (neg.f64 x) y) x) (neg.f64 x))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) x) (pow.f64 (*.f64 x (fma.f64 x (-.f64 x y) (*.f64 y y))) x)) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 x y))) x) (pow.f64 (*.f64 x (-.f64 x y)) x)) |
(*.f64 (pow.f64 (exp.f64 (neg.f64 (*.f64 x (log.f64 x)))) #s(literal -1 binary64)) (exp.f64 (*.f64 x (neg.f64 (log.f64 (+.f64 x y)))))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 1/2 binary64)) x) (pow.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 1/2 binary64)) x)) |
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) x) (pow.f64 (-.f64 (neg.f64 x) y) (neg.f64 x))) |
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) x) (pow.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) x)) |
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (+.f64 x y) (-.f64 x y)))) x) (pow.f64 (-.f64 x y) x)) |
(*.f64 (pow.f64 (/.f64 (neg.f64 x) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) x) (pow.f64 (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))) x)) |
(*.f64 (pow.f64 (/.f64 (neg.f64 x) (*.f64 (+.f64 x y) (-.f64 x y))) x) (pow.f64 (neg.f64 (-.f64 x y)) x)) |
(*.f64 (pow.f64 (/.f64 x (*.f64 (+.f64 x y) (-.f64 y x))) x) (pow.f64 (-.f64 y x) x)) |
(*.f64 (pow.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (neg.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (-.f64 x y) (*.f64 y y)))) (neg.f64 x))) |
(*.f64 (pow.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (neg.f64 x)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))) x) (neg.f64 x))) |
(*.f64 (pow.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (neg.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x y))) (neg.f64 x))) |
(*.f64 (pow.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (neg.f64 x)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) x) (neg.f64 x))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) x) (neg.f64 x)) (pow.f64 (/.f64 (+.f64 x y) (fma.f64 x (-.f64 x y) (*.f64 y y))) (neg.f64 x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (pow.f64 (/.f64 (+.f64 x y) x) x))) #s(literal -1 binary64))) |
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(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 x y)) (*.f64 (-.f64 (neg.f64 x) y) (neg.f64 x))) (*.f64 (-.f64 (neg.f64 x) y) (+.f64 x y))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 (neg.f64 x) y) x)) (*.f64 (-.f64 (neg.f64 x) y) #s(literal 1 binary64))) (*.f64 (-.f64 (neg.f64 x) y) (/.f64 (-.f64 (neg.f64 x) y) x))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y)))) (*.f64 (-.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))))) (*.f64 (-.f64 (neg.f64 x) y) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x y))) (*.f64 (-.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) (*.f64 (+.f64 x y) (-.f64 x y))))) (*.f64 (-.f64 (neg.f64 x) y) (/.f64 #s(literal 1 binary64) (-.f64 x y)))) |
(/.f64 (neg.f64 (/.f64 x (*.f64 (+.f64 x y) (-.f64 x y)))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)))) |
(/.f64 (neg.f64 (/.f64 x (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))))) |
(/.f64 (neg.f64 (*.f64 x (*.f64 (+.f64 x y) (-.f64 x y)))) (neg.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (+.f64 x y)))) |
(/.f64 (neg.f64 (*.f64 x (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y)))) (neg.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (fma.f64 y (+.f64 x y) (*.f64 x x))))) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (-.f64 y x) (*.f64 (-.f64 y x) (-.f64 y x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (neg.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 (*.f64 y (-.f64 y x)) (-.f64 (*.f64 y (-.f64 y x)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(/.f64 (neg.f64 (*.f64 x (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (-.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))))) (neg.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (-.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x))) (+.f64 x y)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64))) (+.f64 x y)) |
(/.f64 (neg.f64 (*.f64 (/.f64 x (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (-.f64 y x) (*.f64 (-.f64 y x) (-.f64 y x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (neg.f64 (fma.f64 (*.f64 y (-.f64 y x)) (-.f64 (*.f64 y (-.f64 y x)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(/.f64 (neg.f64 (*.f64 (/.f64 x (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (-.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))))) (neg.f64 (-.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))) |
(/.f64 (neg.f64 (*.f64 (/.f64 x (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (+.f64 x y) (-.f64 x y)))) (-.f64 (neg.f64 x) y)) |
(/.f64 (neg.f64 (*.f64 (/.f64 x (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y)))) (neg.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)))) |
(pow.f64 (/.f64 x (+.f64 x y)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (+.f64 x y) x) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 (+.f64 x y) x) (/.f64 (+.f64 x y) x)) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (+.f64 x y) x))) |
(pow.f64 (exp.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 x y)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (+.f64 x y)) (log.f64 (*.f64 x (+.f64 x y))) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) |
(pow.f64 (exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x y))) (log.f64 (/.f64 x (+.f64 x y))))) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 x (+.f64 x y))))) |
(*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x y))) |
(*.f64 (/.f64 x (+.f64 x y)) #s(literal 1 binary64)) |
(*.f64 (/.f64 x (+.f64 x y)) (pow.f64 (/.f64 (-.f64 x y) (-.f64 x y)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (+.f64 x y))) |
(*.f64 (neg.f64 x) (exp.f64 (neg.f64 (log.f64 (-.f64 (neg.f64 x) y))))) |
(*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (/.f64 x (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) |
(*.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x y))) |
(*.f64 (-.f64 x y) (/.f64 x (*.f64 (+.f64 x y) (-.f64 x y)))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (+.f64 x y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) x) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (pow.f64 (/.f64 (-.f64 x y) (*.f64 x (-.f64 x y))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)) (neg.f64 x)) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))) (pow.f64 (/.f64 (+.f64 x y) (*.f64 x (fma.f64 x (-.f64 x y) (*.f64 y y)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 x (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (fma.f64 x (-.f64 x y) (*.f64 y y))) |
(*.f64 (/.f64 x (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))))) |
(*.f64 (/.f64 x (*.f64 (+.f64 x y) (-.f64 x y))) (-.f64 x y)) |
(*.f64 (/.f64 x (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 x (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (-.f64 x y) (*.f64 y y)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 x (-.f64 x y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 x y))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x y))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 x y))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal -1 binary64) (+.f64 x y))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (fma.f64 x (-.f64 x y) (*.f64 y y))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (+.f64 x y) (-.f64 x y)))) (-.f64 x y)) |
(*.f64 (/.f64 (neg.f64 x) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(*.f64 (/.f64 (neg.f64 x) (*.f64 (+.f64 x y) (-.f64 x y))) (neg.f64 (-.f64 x y))) |
(*.f64 (/.f64 x (*.f64 (+.f64 x y) (-.f64 y x))) (-.f64 y x)) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 x y))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 x y) (fma.f64 x (-.f64 x y) (*.f64 y y))) #s(literal -1 binary64))) |
(*.f64 (exp.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))))) (exp.f64 (log.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))) |
(*.f64 (exp.f64 (log.f64 (/.f64 x (*.f64 (+.f64 x y) (-.f64 x y))))) (exp.f64 (log.f64 (-.f64 x y)))) |
| 1× | egg-herbie |
| 9 292× | lower-fma.f64 |
| 9 292× | lower-fma.f32 |
| 5 132× | lower-*.f64 |
| 5 132× | lower-*.f32 |
| 3 222× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 554 | 3180 |
| 1 | 1674 | 2655 |
| 2 | 5673 | 2574 |
| 0 | 8288 | 2445 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* x (+ (log x) (log (/ 1 y))))) |
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) |
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) |
(exp (* -1 y)) |
(+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) |
(+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))) |
(+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (+ (/ (* (exp (* -1 y)) (+ (* 1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (+ (* 1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (pow x 3)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2))))) |
(exp (* -1 y)) |
(+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) |
(+ (exp (* -1 y)) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) x)) (* -1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x))) |
(+ (exp (* -1 y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 y)) (+ (* -1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) x)) (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2))))) x)) (* -1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x))) |
1 |
(+ 1 (* -1 y)) |
(+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1))) |
(+ 1 (* y (- (* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) 1))) |
(exp (* x (+ (log x) (log (/ 1 y))))) |
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y))) |
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (pow y 2)))) |
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 6)) (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))))))) (pow y 3)) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (pow y 2))))) |
(exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) y)) (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4))))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y))) |
(/ 1 x) |
(/ (+ 1 (* x (+ (log x) (log (/ 1 y))))) x) |
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) x) |
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) x) |
(/ (exp (* -1 y)) x) |
(/ (+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x) |
(/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))) x) |
(/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (+ (/ (* (exp (* -1 y)) (+ (* 1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (+ (* 1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (pow x 3)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2))))) x) |
(/ (exp (* -1 y)) x) |
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x)) |
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (/ (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) x)) x))) x)) |
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2))))) (/ (* (exp (* -1 y)) (+ (* -1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) x)) x)) (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x))) x)) |
(/ 1 x) |
(+ (* -1 (/ y x)) (/ 1 x)) |
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x)) |
(+ (* y (- (* y (+ (* -1 (/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) (/ 1 x))) (/ 1 x)) |
(/ (exp (* x (+ (log x) (log (/ 1 y))))) x) |
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (exp (* x (+ (log x) (log (/ 1 y))))) x)) |
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2))))) |
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (+ (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 6)) (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))))))) (* x (pow y 3))) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2)))))) |
(/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x) |
(+ (* -1 (/ (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x y))) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) (* x y))) (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) x)) y)) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(* x (+ (log x) (log (/ 1 y)))) |
(* x (+ (log x) (+ (log (/ 1 y)) (* -1 (/ x y))))) |
(* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (/ x (pow y 2))) (/ 1 y)))))) |
(* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* x (+ (* -1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))))) |
(* -1 y) |
(+ (* -1 y) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x))) |
(+ (* -1 y) (+ (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (pow x 2))) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x)))) |
(+ (* -1 y) (+ (* 1/24 (/ (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4))))) (pow x 3))) (+ (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (pow x 2))) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x))))) |
(* -1 y) |
(+ (* -1 y) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x))) |
(+ (* -1 y) (* -1 (/ (+ (* -1/2 (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) x))) x))) |
(+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/24 (/ (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4))))) x))) x)) (* -1/2 (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) x))) |
(* -1 y) |
(* y (- (* 1/2 (/ y x)) 1)) |
(* y (- (* y (+ (* -1/3 (/ y (pow x 2))) (* 1/2 (/ 1 x)))) 1)) |
(* y (- (* y (+ (* y (- (* 1/4 (/ y (pow x 3))) (* 1/3 (/ 1 (pow x 2))))) (* 1/2 (/ 1 x)))) 1)) |
(* x (+ (log x) (log (/ 1 y)))) |
(+ (* -1 (/ (pow x 2) y)) (* x (+ (log x) (log (/ 1 y))))) |
(+ (* -1 (/ (pow x 2) y)) (+ (* 1/2 (/ (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))) (pow y 2))) (* x (+ (log x) (log (/ 1 y)))))) |
(+ (* -1 (/ (pow x 2) y)) (+ (* 1/6 (/ (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))) (pow y 3))) (+ (* 1/2 (/ (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))) (pow y 2))) (* x (+ (log x) (log (/ 1 y))))))) |
(* x (+ (log (* -1 x)) (log (/ -1 y)))) |
(+ (* -1 (/ (pow x 2) y)) (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(+ (* -1 (/ (+ (* -1/2 (/ (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))) y)) (pow x 2)) y)) (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3))))) y)) (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))) y)) (pow x 2)) y)) (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(+ (log x) (log (/ 1 y))) |
(+ (log x) (+ (log (/ 1 y)) (* -1 (/ x y)))) |
(+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (/ x (pow y 2))) (/ 1 y))))) |
(+ (log x) (+ (log (/ 1 y)) (* x (- (* x (+ (* -1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))))) |
(* -1 (/ y x)) |
(/ (+ (* -1 y) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x))) x) |
(/ (+ (* -1 y) (+ (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (pow x 2))) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x)))) x) |
(/ (+ (* -1 y) (+ (* 1/24 (/ (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4))))) (pow x 3))) (+ (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (pow x 2))) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x))))) x) |
(* -1 (/ y x)) |
(* -1 (/ (+ y (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x))) x)) |
(* -1 (/ (+ y (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) x)) (* 1/2 (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) x))) x)) |
(* -1 (/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4))))) x)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) x)) (* 1/2 (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) x))) x)) |
(* -1 (/ y x)) |
(* y (- (* 1/2 (/ y (pow x 2))) (/ 1 x))) |
(* y (- (* y (+ (* -1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) |
(* y (- (* y (+ (* y (- (* 1/4 (/ y (pow x 4))) (* 1/3 (/ 1 (pow x 3))))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) |
(+ (log x) (log (/ 1 y))) |
(+ (log x) (+ (log (/ 1 y)) (* -1 (/ x y)))) |
(+ (log x) (+ (log (/ 1 y)) (+ (* -1 (/ x y)) (* 1/2 (/ (+ (* -1 (pow x 2)) (* 2 (pow x 2))) (pow y 2)))))) |
(+ (log x) (+ (log (/ 1 y)) (+ (* -1 (/ x y)) (+ (* 1/6 (/ (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3)))) (pow y 3))) (* 1/2 (/ (+ (* -1 (pow x 2)) (* 2 (pow x 2))) (pow y 2))))))) |
(+ (log (* -1 x)) (log (/ -1 y))) |
(+ (log (* -1 x)) (+ (log (/ -1 y)) (* -1 (/ x y)))) |
(+ (log (* -1 x)) (+ (log (/ -1 y)) (* -1 (/ (+ x (* -1/2 (/ (+ (* -1 (pow x 2)) (* 2 (pow x 2))) y))) y)))) |
(+ (log (* -1 x)) (+ (log (/ -1 y)) (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))) y)) (* 1/2 (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) y))) y)))) |
(/ x y) |
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) |
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))) |
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
1 |
(+ 1 (* -1 (/ y x))) |
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) |
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) |
1 |
(+ 1 (* -1 (/ y x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) |
1 |
(+ 1 (* -1 (/ y x))) |
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) |
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) |
(/ x y) |
(/ (+ x (* -1 (/ (pow x 2) y))) y) |
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y) |
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y) |
(/ x y) |
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* x (+ (log x) (log (/ 1 y))))) |
(fma.f64 x (-.f64 (log.f64 x) (log.f64 y)) #s(literal 1 binary64)) |
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) |
(fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) y)) (-.f64 (log.f64 x) (log.f64 y))) #s(literal 1 binary64)) |
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) |
(fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 (-.f64 (log.f64 x) (log.f64 y)) y))) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) y))) (-.f64 (log.f64 x) (log.f64 y))) #s(literal 1 binary64)) |
(exp (* -1 y)) |
(exp.f64 (neg.f64 y)) |
(+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) |
(fma.f64 (exp.f64 (neg.f64 y)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) x) (exp.f64 (neg.f64 y))) |
(+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 (*.f64 y y) #s(literal -2 binary64))) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/8 binary64)))) (/.f64 (exp.f64 (neg.f64 y)) (*.f64 x x)) (fma.f64 (exp.f64 (neg.f64 y)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) x) (exp.f64 (neg.f64 y)))) |
(+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (+ (/ (* (exp (* -1 y)) (+ (* 1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (+ (* 1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (pow x 3)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2))))) |
(fma.f64 (exp.f64 (neg.f64 y)) (+.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 (*.f64 y y) #s(literal -2 binary64))) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/8 binary64)))) (*.f64 x x)) (/.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/48 binary64)) (fma.f64 (*.f64 y y) (*.f64 y (neg.f64 y)) (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 30 binary64)) (*.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal -2 binary64))) (*.f64 (*.f64 y y) #s(literal 1/12 binary64)))))) (*.f64 x (*.f64 x x)))) (fma.f64 (exp.f64 (neg.f64 y)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) x) (exp.f64 (neg.f64 y)))) |
(exp (* -1 y)) |
(exp.f64 (neg.f64 y)) |
(+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) |
(fma.f64 (exp.f64 (neg.f64 y)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) x) (exp.f64 (neg.f64 y))) |
(+ (exp (* -1 y)) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) x)) (* -1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x))) |
(-.f64 (exp.f64 (neg.f64 y)) (/.f64 (fma.f64 (exp.f64 (neg.f64 y)) (/.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/8 binary64)) (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 #s(literal 2 binary64) (*.f64 y y))))) x) (*.f64 (exp.f64 (neg.f64 y)) (*.f64 #s(literal 1/2 binary64) (*.f64 y y)))) (neg.f64 x))) |
(+ (exp (* -1 y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 y)) (+ (* -1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) x)) (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2))))) x)) (* -1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x))) |
(-.f64 (exp.f64 (neg.f64 y)) (/.f64 (-.f64 (*.f64 (exp.f64 (neg.f64 y)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (*.f64 y y) (fma.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 30 binary64)) #s(literal -1/24 binary64) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (*.f64 y y) #s(literal -1/48 binary64)) (*.f64 (*.f64 y y) (*.f64 #s(literal 1/12 binary64) (*.f64 y (*.f64 #s(literal 2 binary64) (*.f64 y y)))))))) (neg.f64 (/.f64 (exp.f64 (neg.f64 y)) x)) (*.f64 (exp.f64 (neg.f64 y)) (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/8 binary64)) (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 #s(literal 2 binary64) (*.f64 y y))))))) x)) x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1))) |
(fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* y (- (* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) 1))) |
(fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))))) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(exp (* x (+ (log x) (log (/ 1 y))))) |
(*.f64 (pow.f64 x x) (pow.f64 (/.f64 #s(literal 1 binary64) y) x)) |
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y))) |
(fma.f64 (*.f64 (pow.f64 x x) (pow.f64 (/.f64 #s(literal 1 binary64) y) x)) (*.f64 x (/.f64 x (neg.f64 y))) (*.f64 (pow.f64 x x) (pow.f64 (/.f64 #s(literal 1 binary64) y) x))) |
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (pow y 2)))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) (*.f64 x (*.f64 x x)))) (/.f64 (*.f64 (pow.f64 x x) (pow.f64 (/.f64 #s(literal 1 binary64) y) x)) (*.f64 y y)) (fma.f64 (*.f64 (pow.f64 x x) (pow.f64 (/.f64 #s(literal 1 binary64) y) x)) (*.f64 x (/.f64 x (neg.f64 y))) (*.f64 (pow.f64 x x) (pow.f64 (/.f64 #s(literal 1 binary64) y) x)))) |
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 6)) (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))))))) (pow y 3)) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (pow y 2))))) |
(fma.f64 (*.f64 (pow.f64 x x) (pow.f64 (/.f64 #s(literal 1 binary64) y) x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) (*.f64 x (*.f64 x x))) (*.f64 y y)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64))))) (*.f64 y (*.f64 y y)))) (fma.f64 (*.f64 (pow.f64 x x) (pow.f64 (/.f64 #s(literal 1 binary64) y) x)) (*.f64 x (/.f64 x (neg.f64 y))) (*.f64 (pow.f64 x x) (pow.f64 (/.f64 #s(literal 1 binary64) y) x)))) |
(exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(*.f64 (pow.f64 (neg.f64 x) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) x)) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y))) |
(fma.f64 (neg.f64 x) (*.f64 (*.f64 (pow.f64 (neg.f64 x) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) x)) (/.f64 x y)) (*.f64 (pow.f64 (neg.f64 x) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) x))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y))) |
(-.f64 (*.f64 (pow.f64 (neg.f64 x) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) x)) (/.f64 (fma.f64 (*.f64 (pow.f64 (neg.f64 x) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) x)) (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) (*.f64 x (*.f64 x x))) y)) (*.f64 (*.f64 x x) (*.f64 (pow.f64 (neg.f64 x) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) x)))) y)) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) y)) (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4))))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y))) |
(-.f64 (*.f64 (pow.f64 (neg.f64 x) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) x)) (/.f64 (fma.f64 x (*.f64 x (*.f64 (pow.f64 (neg.f64 x) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) x))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 x (*.f64 x (*.f64 #s(literal 2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (/.f64 (*.f64 (pow.f64 (neg.f64 x) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) x)) y) (*.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) (*.f64 x (*.f64 x x))) (*.f64 (pow.f64 (neg.f64 x) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) x))))) y)) y)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
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(-.f64 (-.f64 (log.f64 x) (log.f64 y)) (/.f64 x y)) |
(+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (/ x (pow y 2))) (/ 1 y))))) |
(fma.f64 x (fma.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) y)) (-.f64 (log.f64 x) (log.f64 y))) |
(+ (log x) (+ (log (/ 1 y)) (* x (- (* x (+ (* -1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))))) |
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (/.f64 x (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 #s(literal -1 binary64) y)) (-.f64 (log.f64 x) (log.f64 y))) |
(* -1 (/ y x)) |
(/.f64 (neg.f64 y) x) |
(/ (+ (* -1 y) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x))) x) |
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) x) y) x) |
(/ (+ (* -1 y) (+ (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (pow x 2))) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x)))) x) |
(/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal -2 binary64))) (*.f64 x x)) (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) x) y)) x) |
(/ (+ (* -1 y) (+ (* 1/24 (/ (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4))))) (pow x 3))) (+ (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (pow x 2))) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x))))) x) |
(/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) x) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal -2 binary64))) (*.f64 x x)) (/.f64 (fma.f64 (*.f64 y y) (*.f64 y (neg.f64 y)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 30 binary64)))) (*.f64 x (*.f64 x x))))) y) x) |
(* -1 (/ y x)) |
(/.f64 (neg.f64 y) x) |
(* -1 (/ (+ y (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x))) x)) |
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) x) y) x) |
(* -1 (/ (+ y (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) x)) (* 1/2 (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) x))) x)) |
(/.f64 (-.f64 y (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 y (*.f64 #s(literal 2 binary64) (*.f64 y y))) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y y))) x)) (neg.f64 x)) |
(* -1 (/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4))))) x)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) x)) (* 1/2 (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) x))) x)) |
(/.f64 (-.f64 y (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 #s(literal 2 binary64) (*.f64 y y))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 30 binary64)) #s(literal -1/24 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) x)) x)) x)) (neg.f64 x)) |
(* -1 (/ y x)) |
(/.f64 (neg.f64 y) x) |
(* y (- (* 1/2 (/ y (pow x 2))) (/ 1 x))) |
(*.f64 y (fma.f64 y (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) x))) |
(* y (- (* y (+ (* -1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) |
(*.f64 y (fma.f64 y (fma.f64 #s(literal -1/3 binary64) (/.f64 y (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) x))) |
(* y (- (* y (+ (* y (- (* 1/4 (/ y (pow x 4))) (* 1/3 (/ 1 (pow x 3))))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) |
(*.f64 y (fma.f64 y (fma.f64 y (fma.f64 #s(literal 1/4 binary64) (/.f64 y (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) x))) |
(+ (log x) (log (/ 1 y))) |
(-.f64 (log.f64 x) (log.f64 y)) |
(+ (log x) (+ (log (/ 1 y)) (* -1 (/ x y)))) |
(-.f64 (-.f64 (log.f64 x) (log.f64 y)) (/.f64 x y)) |
(+ (log x) (+ (log (/ 1 y)) (+ (* -1 (/ x y)) (* 1/2 (/ (+ (* -1 (pow x 2)) (* 2 (pow x 2))) (pow y 2)))))) |
(+.f64 (-.f64 (neg.f64 (log.f64 y)) (/.f64 x y)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) (log.f64 x))) |
(+ (log x) (+ (log (/ 1 y)) (+ (* -1 (/ x y)) (+ (* 1/6 (/ (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3)))) (pow y 3))) (* 1/2 (/ (+ (* -1 (pow x 2)) (* 2 (pow x 2))) (pow y 2))))))) |
(+.f64 (-.f64 (log.f64 x) (log.f64 y)) (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64))) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 y y))) (/.f64 x y))) |
(+ (log (* -1 x)) (log (/ -1 y))) |
(+.f64 (log.f64 (neg.f64 x)) (neg.f64 (log.f64 (neg.f64 y)))) |
(+ (log (* -1 x)) (+ (log (/ -1 y)) (* -1 (/ x y)))) |
(+.f64 (log.f64 (neg.f64 x)) (-.f64 (neg.f64 (log.f64 (neg.f64 y))) (/.f64 x y))) |
(+ (log (* -1 x)) (+ (log (/ -1 y)) (* -1 (/ (+ x (* -1/2 (/ (+ (* -1 (pow x 2)) (* 2 (pow x 2))) y))) y)))) |
(-.f64 (+.f64 (log.f64 (neg.f64 x)) (neg.f64 (log.f64 (neg.f64 y)))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) y) x) y)) |
(+ (log (* -1 x)) (+ (log (/ -1 y)) (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))) y)) (* 1/2 (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) y))) y)))) |
(+.f64 (+.f64 (log.f64 (neg.f64 x)) (neg.f64 (log.f64 (neg.f64 y)))) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (*.f64 x x))) y) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) y) x) y)) |
(/ x y) |
(/.f64 x y) |
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) |
(fma.f64 x (/.f64 x (*.f64 y (neg.f64 y))) (/.f64 x y)) |
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))) |
(fma.f64 x (fma.f64 x (/.f64 x (*.f64 y (*.f64 y y))) (/.f64 x (*.f64 y (neg.f64 y)))) (/.f64 x y)) |
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
(fma.f64 (*.f64 x x) (fma.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (/.f64 x (*.f64 (*.f64 y y) (*.f64 y y)))) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (/.f64 x y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ y x))) |
(-.f64 #s(literal 1 binary64) (/.f64 y x)) |
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (/.f64 (neg.f64 y) x) y) x)) |
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 y y (/.f64 (*.f64 y (*.f64 y (neg.f64 y))) x)) x) y) x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ y x))) |
(-.f64 #s(literal 1 binary64) (/.f64 y x)) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (/.f64 (neg.f64 y) x) y) x)) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 y y (/.f64 (*.f64 y (*.f64 y (neg.f64 y))) x)) x) y) x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ y x))) |
(-.f64 #s(literal 1 binary64) (/.f64 y x)) |
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (/.f64 (neg.f64 y) x) y) x)) |
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) |
(fma.f64 y (fma.f64 y (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 y (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)) |
(/ x y) |
(/.f64 x y) |
(/ (+ x (* -1 (/ (pow x 2) y))) y) |
(/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y) |
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y) |
(/.f64 (+.f64 x (/.f64 (-.f64 (/.f64 (*.f64 x (*.f64 x x)) y) (*.f64 x x)) y)) y) |
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y) |
(/.f64 (+.f64 (-.f64 x (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 y (*.f64 y y)))) (/.f64 (-.f64 (/.f64 (*.f64 x (*.f64 x x)) y) (*.f64 x x)) y)) y) |
(/ x y) |
(/.f64 x y) |
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) |
(neg.f64 (/.f64 (fma.f64 x (/.f64 x y) (neg.f64 x)) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)) |
(/.f64 (+.f64 x (/.f64 (-.f64 (/.f64 (*.f64 x (*.f64 x x)) y) (*.f64 x x)) y)) y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)) |
(/.f64 (+.f64 x (/.f64 (neg.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) y) (*.f64 x (*.f64 x x))) y))) y)) y) |
Compiled 11 484 to 2 153 computations (81.3% saved)
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 470 | 8 | 478 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 471 | 8 | 479 |
| Status | Accuracy | Program |
|---|---|---|
| 51.8% | (fma.f64 y (fma.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) | |
| ▶ | 59.6% | (/.f64 (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) x) |
| ▶ | 54.0% | (/.f64 (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))))) #s(literal -1 binary64)) #s(literal 1 binary64)) x) |
| 73.3% | (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x) | |
| ▶ | 72.6% | (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (+.f64 x y) x) x)) |
| 57.7% | (/.f64 (-.f64 #s(literal 1 binary64) y) x) | |
| ▶ | 80.2% | (/.f64 (exp.f64 (neg.f64 y)) x) |
| ▶ | 77.3% | (/.f64 #s(literal 1 binary64) x) |
Compiled 216 to 138 computations (36.1% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 (+.f64 x y) x) |
| ✓ | cost-diff | 0 | (pow.f64 (/.f64 (+.f64 x y) x) x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 384 | (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (+.f64 x y) x) x)) |
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))))) #s(literal -1 binary64)) #s(literal 1 binary64)) x) |
| ✓ | cost-diff | 128 | (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))) |
| ✓ | cost-diff | 128 | (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))))) |
| ✓ | cost-diff | 384 | (-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) |
| ✓ | cost-diff | 0 | (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (neg.f64 y) |
| ✓ | cost-diff | 0 | (exp.f64 (neg.f64 y)) |
| ✓ | cost-diff | 0 | (/.f64 (exp.f64 (neg.f64 y)) x) |
| 15 464× | lower-fma.f32 |
| 15 456× | lower-fma.f64 |
| 3 220× | lower-+.f32 |
| 3 210× | lower-+.f64 |
| 2 210× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 253 |
| 0 | 57 | 253 |
| 1 | 111 | 253 |
| 2 | 276 | 253 |
| 3 | 794 | 253 |
| 4 | 2279 | 253 |
| 5 | 6299 | 253 |
| 0 | 8170 | 242 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (exp.f64 (neg.f64 y)) x) |
(exp.f64 (neg.f64 y)) |
(neg.f64 y) |
y |
x |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(/.f64 (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) x) |
(fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
y |
(fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) |
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) |
#s(literal 1/2 binary64) |
(/.f64 #s(literal 1/2 binary64) x) |
x |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
(/.f64 (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))))) #s(literal -1 binary64)) #s(literal 1 binary64)) x) |
(fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))))) #s(literal -1 binary64)) #s(literal 1 binary64)) |
y |
(fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))))) #s(literal -1 binary64)) |
(+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))))) |
#s(literal 1/2 binary64) |
(-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))) |
(/.f64 #s(literal 1/2 binary64) x) |
x |
(*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) |
(+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) |
#s(literal 1/6 binary64) |
(/.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
#s(literal 1/3 binary64) |
(*.f64 x x) |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (+.f64 x y) x) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(pow.f64 (/.f64 (+.f64 x y) x) x) |
(/.f64 (+.f64 x y) x) |
(+.f64 x y) |
y |
| Outputs |
|---|
(/.f64 (exp.f64 (neg.f64 y)) x) |
(exp.f64 (neg.f64 y)) |
(neg.f64 y) |
y |
x |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(/.f64 (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) x) |
(fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
y |
(fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) |
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) |
#s(literal 1/2 binary64) |
(/.f64 #s(literal 1/2 binary64) x) |
x |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
(/.f64 (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))))) #s(literal -1 binary64)) #s(literal 1 binary64)) x) |
(/.f64 (fma.f64 y (fma.f64 y (fma.f64 y (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) x) |
(fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))))) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 y (fma.f64 y (fma.f64 y (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) |
y |
(fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))))) #s(literal -1 binary64)) |
(fma.f64 y (fma.f64 y (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64))) #s(literal -1 binary64)) |
(+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))))) |
(fma.f64 y (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64))) |
#s(literal 1/2 binary64) |
(-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))) |
(fma.f64 y (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) x)) |
(/.f64 #s(literal 1/2 binary64) x) |
x |
(*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))) |
(fma.f64 (/.f64 y x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 y #s(literal 1/6 binary64))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) |
(+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) |
(+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) |
#s(literal 1/6 binary64) |
(/.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
#s(literal 1/3 binary64) |
(*.f64 x x) |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (+.f64 x y) x) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (/.f64 (+.f64 y x) x) x))) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(pow.f64 (/.f64 (+.f64 x y) x) x) |
(pow.f64 (/.f64 (+.f64 y x) x) x) |
(/.f64 (+.f64 x y) x) |
(/.f64 (+.f64 y x) x) |
(+.f64 x y) |
(+.f64 y x) |
y |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f64 x y) |
| ✓ | accuracy | 100.0% | (/.f64 (+.f64 x y) x) |
| ✓ | accuracy | 100.0% | (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (+.f64 x y) x) x)) |
| ✓ | accuracy | 78.3% | (pow.f64 (/.f64 (+.f64 x y) x) x) |
| ✓ | accuracy | 99.6% | (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))))) #s(literal -1 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 98.5% | (fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))))) #s(literal -1 binary64)) |
| ✓ | accuracy | 96.3% | (/.f64 (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))))) #s(literal -1 binary64)) #s(literal 1 binary64)) x) |
| ✓ | accuracy | 95.0% | (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) |
| ✓ | accuracy | 100.0% | (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) |
| ✓ | accuracy | 97.7% | (/.f64 (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) x) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 100.0% | (neg.f64 y) |
| ✓ | accuracy | 100.0% | (exp.f64 (neg.f64 y)) |
| ✓ | accuracy | 100.0% | (/.f64 (exp.f64 (neg.f64 y)) x) |
| 60.0ms | 95× | 1 | valid |
| 41.0ms | 133× | 0 | valid |
| 10.0ms | 16× | 1 | exit |
| 3.0ms | 12× | 0 | exit |
Compiled 255 to 36 computations (85.9% saved)
ival-add: 19.0ms (22% of total)ival-div: 16.0ms (18.6% of total)ival-pow: 16.0ms (18.6% of total)ival-mult: 14.0ms (16.2% of total)const: 9.0ms (10.4% of total)adjust: 7.0ms (8.1% of total)ival-exp: 2.0ms (2.3% of total)ival-neg: 2.0ms (2.3% of total)ival-sub: 1.0ms (1.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 (exp.f64 (neg.f64 y)) x)> |
#<alt (exp.f64 (neg.f64 y))> |
#<alt (neg.f64 y)> |
#<alt (/.f64 #s(literal 1 binary64) x)> |
#<alt (/.f64 (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) x)> |
#<alt (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64))> |
#<alt (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))> |
#<alt (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))> |
#<alt (-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))))> |
#<alt (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))))> |
#<alt (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))> |
#<alt (/.f64 (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))))) #s(literal -1 binary64)) #s(literal 1 binary64)) x)> |
#<alt (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (+.f64 x y) x) x))> |
#<alt (pow.f64 (/.f64 (+.f64 x y) x) x)> |
#<alt (/.f64 (+.f64 x y) x)> |
#<alt (fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))))) #s(literal -1 binary64))> |
#<alt (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))))) #s(literal -1 binary64)) #s(literal 1 binary64))> |
#<alt (+.f64 x y)> |
| Outputs |
|---|
#<alt (/ 1 x)> |
#<alt (+ (* -1 (/ y x)) (/ 1 x))> |
#<alt (+ (* y (- (* 1/2 (/ y x)) (/ 1 x))) (/ 1 x))> |
#<alt (+ (* y (- (* y (+ (* -1/6 (/ y x)) (* 1/2 (/ 1 x)))) (/ 1 x))) (/ 1 x))> |
#<alt (/ (exp (neg y)) x)> |
#<alt (/ (exp (neg y)) x)> |
#<alt (/ (exp (neg y)) x)> |
#<alt (/ (exp (neg y)) x)> |
#<alt (/ (exp (* -1 y)) x)> |
#<alt (/ (exp (* -1 y)) x)> |
#<alt (/ (exp (* -1 y)) x)> |
#<alt (/ (exp (* -1 y)) x)> |
#<alt (/ (exp (neg y)) x)> |
#<alt (/ (exp (neg y)) x)> |
#<alt (/ (exp (neg y)) x)> |
#<alt (/ (exp (neg y)) x)> |
#<alt (/ (exp (neg y)) x)> |
#<alt (/ (exp (neg y)) x)> |
#<alt (/ (exp (neg y)) x)> |
#<alt (/ (exp (neg y)) x)> |
#<alt (/ (exp (neg y)) x)> |
#<alt (/ (exp (neg y)) x)> |
#<alt (/ (exp (neg y)) x)> |
#<alt (/ (exp (neg y)) x)> |
#<alt 1> |
#<alt (+ 1 (* -1 y))> |
#<alt (+ 1 (* y (- (* 1/2 y) 1)))> |
#<alt (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))> |
#<alt (exp (neg y))> |
#<alt (exp (neg y))> |
#<alt (exp (neg y))> |
#<alt (exp (neg y))> |
#<alt (exp (* -1 y))> |
#<alt (exp (* -1 y))> |
#<alt (exp (* -1 y))> |
#<alt (exp (* -1 y))> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (+ (* -1 (/ y x)) (/ 1 x))> |
#<alt (+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))> |
#<alt (+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))> |
#<alt (/ (* (pow y 2) (+ 1/2 (* 1/2 (/ 1 x)))) x)> |
#<alt (* (pow y 2) (- (+ (/ 1/2 (pow x 2)) (* 1/2 (/ 1 x))) (/ 1 (* x y))))> |
#<alt (* (pow y 2) (- (+ (/ 1/2 (pow x 2)) (+ (* 1/2 (/ 1 x)) (/ 1 (* x (pow y 2))))) (/ 1 (* x y))))> |
#<alt (* (pow y 2) (- (+ (/ 1/2 (pow x 2)) (+ (* 1/2 (/ 1 x)) (/ 1 (* x (pow y 2))))) (/ 1 (* x y))))> |
#<alt (/ (* (pow y 2) (+ 1/2 (* 1/2 (/ 1 x)))) x)> |
#<alt (* (pow y 2) (- (+ (/ 1/2 (pow x 2)) (* 1/2 (/ 1 x))) (/ 1 (* x y))))> |
#<alt (* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (+ (/ 1/2 (pow x 2)) (* 1/2 (/ 1 x)))))> |
#<alt (* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (+ (/ 1/2 (pow x 2)) (* 1/2 (/ 1 x)))))> |
#<alt (* 1/2 (/ (pow y 2) (pow x 2)))> |
#<alt (/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) (pow x 2))> |
#<alt (/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) (pow x 2))> |
#<alt (/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) (pow x 2))> |
#<alt (/ (+ 1 (* y (- (* 1/2 y) 1))) x)> |
#<alt (/ (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) x)> |
#<alt (/ (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) x)> |
#<alt (/ (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) x)> |
#<alt (/ (+ 1 (* y (- (* 1/2 y) 1))) x)> |
#<alt (* -1 (/ (+ (* -1 (+ 1 (* y (- (* 1/2 y) 1)))) (* -1/2 (/ (pow y 2) x))) x))> |
#<alt (* -1 (/ (+ (* -1 (+ 1 (* y (- (* 1/2 y) 1)))) (* -1/2 (/ (pow y 2) x))) x))> |
#<alt (* -1 (/ (+ (* -1 (+ 1 (* y (- (* 1/2 y) 1)))) (* -1/2 (/ (pow y 2) x))) x))> |
#<alt 1> |
#<alt (+ 1 (* -1 y))> |
#<alt (+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1)))> |
#<alt (+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1)))> |
#<alt (* (pow y 2) (+ 1/2 (* 1/2 (/ 1 x))))> |
#<alt (* (pow y 2) (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y)))> |
#<alt (* (pow y 2) (- (+ 1/2 (+ (* 1/2 (/ 1 x)) (/ 1 (pow y 2)))) (/ 1 y)))> |
#<alt (* (pow y 2) (- (+ 1/2 (+ (* 1/2 (/ 1 x)) (/ 1 (pow y 2)))) (/ 1 y)))> |
#<alt (* (pow y 2) (+ 1/2 (* 1/2 (/ 1 x))))> |
#<alt (* (pow y 2) (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y)))> |
#<alt (* (pow y 2) (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x)))))> |
#<alt (* (pow y 2) (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x)))))> |
#<alt (* 1/2 (/ (pow y 2) x))> |
#<alt (/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) x)> |
#<alt (/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) x)> |
#<alt (/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) x)> |
#<alt (+ 1 (* y (- (* 1/2 y) 1)))> |
#<alt (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))))> |
#<alt (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))))> |
#<alt (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))))> |
#<alt (+ 1 (* y (- (* 1/2 y) 1)))> |
#<alt (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))))> |
#<alt (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))))> |
#<alt (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))))> |
#<alt -1> |
#<alt (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1)> |
#<alt (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1)> |
#<alt (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1)> |
#<alt (* y (+ 1/2 (* 1/2 (/ 1 x))))> |
#<alt (* y (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y)))> |
#<alt (* y (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y)))> |
#<alt (* y (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y)))> |
#<alt (* y (+ 1/2 (* 1/2 (/ 1 x))))> |
#<alt (* -1 (* y (+ (* -1 (+ 1/2 (* 1/2 (/ 1 x)))) (/ 1 y))))> |
#<alt (* -1 (* y (+ (* -1 (+ 1/2 (* 1/2 (/ 1 x)))) (/ 1 y))))> |
#<alt (* -1 (* y (+ (* -1 (+ 1/2 (* 1/2 (/ 1 x)))) (/ 1 y))))> |
#<alt (* 1/2 (/ y x))> |
#<alt (/ (+ (* 1/2 y) (* x (- (* 1/2 y) 1))) x)> |
#<alt (/ (+ (* 1/2 y) (* x (- (* 1/2 y) 1))) x)> |
#<alt (/ (+ (* 1/2 y) (* x (- (* 1/2 y) 1))) x)> |
#<alt (- (* 1/2 y) 1)> |
#<alt (- (+ (* 1/2 y) (* 1/2 (/ y x))) 1)> |
#<alt (- (+ (* 1/2 y) (* 1/2 (/ y x))) 1)> |
#<alt (- (+ (* 1/2 y) (* 1/2 (/ y x))) 1)> |
#<alt (- (* 1/2 y) 1)> |
#<alt (- (+ (* 1/2 y) (* 1/2 (/ y x))) 1)> |
#<alt (- (+ (* 1/2 y) (* 1/2 (/ y x))) 1)> |
#<alt (- (+ (* 1/2 y) (* 1/2 (/ y x))) 1)> |
#<alt (/ 1/2 x)> |
#<alt (/ (+ 1/2 (* 1/2 x)) x)> |
#<alt (/ (+ 1/2 (* 1/2 x)) x)> |
#<alt (/ (+ 1/2 (* 1/2 x)) x)> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/2 (/ 1 x)))> |
#<alt (+ 1/2 (* 1/2 (/ 1 x)))> |
#<alt (+ 1/2 (* 1/2 (/ 1 x)))> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/2 (/ 1 x)))> |
#<alt (+ 1/2 (* 1/2 (/ 1 x)))> |
#<alt (+ 1/2 (* 1/2 (/ 1 x)))> |
#<alt (* -1/3 (/ y (pow x 2)))> |
#<alt (/ (- (* x (- 1/2 (* 1/2 y))) (* 1/3 y)) (pow x 2))> |
#<alt (/ (- (* x (- (+ 1/2 (* -1/6 (* x y))) (* 1/2 y))) (* 1/3 y)) (pow x 2))> |
#<alt (/ (- (* x (- (+ 1/2 (* -1/6 (* x y))) (* 1/2 y))) (* 1/3 y)) (pow x 2))> |
#<alt (* -1/6 y)> |
#<alt (- (* 1/2 (/ 1 x)) (+ (* 1/6 y) (* 1/2 (/ y x))))> |
#<alt (- (+ (* -1/3 (/ y (pow x 2))) (* 1/2 (/ 1 x))) (+ (* 1/6 y) (* 1/2 (/ y x))))> |
#<alt (- (+ (* -1/3 (/ y (pow x 2))) (* 1/2 (/ 1 x))) (+ (* 1/6 y) (* 1/2 (/ y x))))> |
#<alt (* -1/6 y)> |
#<alt (- (+ (* -1/2 (/ y x)) (* 1/2 (/ 1 x))) (* 1/6 y))> |
#<alt (- (* -1 (/ (- (* 1/3 (/ y x)) (+ 1/2 (* -1/2 y))) x)) (* 1/6 y))> |
#<alt (- (* -1 (/ (- (* 1/3 (/ y x)) (+ 1/2 (* -1/2 y))) x)) (* 1/6 y))> |
#<alt (/ 1/2 x)> |
#<alt (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x)))> |
#<alt (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x)))> |
#<alt (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x)))> |
#<alt (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))> |
#<alt (* y (- (* 1/2 (/ 1 (* x y))) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))> |
#<alt (* y (- (* 1/2 (/ 1 (* x y))) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))> |
#<alt (* y (- (* 1/2 (/ 1 (* x y))) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))> |
#<alt (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))> |
#<alt (* y (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (* 1/2 (/ 1 (* x y)))))> |
#<alt (* y (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (* 1/2 (/ 1 (* x y)))))> |
#<alt (* y (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (* 1/2 (/ 1 (* x y)))))> |
#<alt (* -1/3 (/ y (pow x 2)))> |
#<alt (/ (- (* x (- 1/2 (* 1/2 y))) (* 1/3 y)) (pow x 2))> |
#<alt (/ (- (* x (- (+ 1/2 (* x (- 1/2 (* 1/6 y)))) (* 1/2 y))) (* 1/3 y)) (pow x 2))> |
#<alt (/ (- (* x (- (+ 1/2 (* x (- 1/2 (* 1/6 y)))) (* 1/2 y))) (* 1/3 y)) (pow x 2))> |
#<alt (- 1/2 (* 1/6 y))> |
#<alt (- (+ 1/2 (* 1/2 (/ 1 x))) (+ (* 1/6 y) (* 1/2 (/ y x))))> |
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#<alt (/ y x)> |
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#<alt (* -1/3 (/ (pow y 2) (pow x 2)))> |
#<alt (/ (+ (* -1/3 (pow y 2)) (* x (* y (- 1/2 (* 1/2 y))))) (pow x 2))> |
#<alt (/ (+ (* -1/3 (pow y 2)) (* x (+ (* x (- (* y (- 1/2 (* 1/6 y))) 1)) (* y (- 1/2 (* 1/2 y)))))) (pow x 2))> |
#<alt (/ (+ (* -1/3 (pow y 2)) (* x (+ (* x (- (* y (- 1/2 (* 1/6 y))) 1)) (* y (- 1/2 (* 1/2 y)))))) (pow x 2))> |
#<alt (- (* y (- 1/2 (* 1/6 y))) 1)> |
#<alt (- (+ (* y (- 1/2 (* 1/6 y))) (/ (* y (- 1/2 (* 1/2 y))) x)) 1)> |
#<alt (- (+ (* -1/3 (/ (pow y 2) (pow x 2))) (+ (* y (- 1/2 (* 1/6 y))) (/ (* y (- 1/2 (* 1/2 y))) x))) 1)> |
#<alt (- (+ (* -1/3 (/ (pow y 2) (pow x 2))) (+ (* y (- 1/2 (* 1/6 y))) (/ (* y (- 1/2 (* 1/2 y))) x))) 1)> |
#<alt (- (* y (- 1/2 (* 1/6 y))) 1)> |
#<alt (- (+ (* y (- 1/2 (* 1/6 y))) (/ (* y (+ 1/2 (* -1/2 y))) x)) 1)> |
#<alt (- (+ (* -1 (/ (+ (* -1 (* y (+ 1/2 (* -1/2 y)))) (* 1/3 (/ (pow y 2) x))) x)) (* y (- 1/2 (* 1/6 y)))) 1)> |
#<alt (- (+ (* -1 (/ (+ (* -1 (* y (+ 1/2 (* -1/2 y)))) (* 1/3 (/ (pow y 2) x))) x)) (* y (- 1/2 (* 1/6 y)))) 1)> |
#<alt 1> |
#<alt (+ 1 (* -1 y))> |
#<alt (+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1)))> |
#<alt (+ 1 (* y (- (* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) 1)))> |
#<alt (* -1 (* (pow y 3) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))> |
#<alt (* (pow y 3) (- (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))> |
#<alt (* (pow y 3) (- (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (+ (* 1/2 (/ 1 x)) (/ 1 (pow y 2)))))))> |
#<alt (* (pow y 3) (- (+ (/ 1/2 (* x y)) (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 3)))) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (+ (* 1/2 (/ 1 x)) (/ 1 (pow y 2)))))))> |
#<alt (* -1 (* (pow y 3) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))> |
#<alt (* -1 (* (pow y 3) (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))))> |
#<alt (* -1 (* (pow y 3) (+ 1/6 (+ (* -1 (/ (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y)) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))))> |
#<alt (* -1 (* (pow y 3) (+ 1/6 (+ (* -1 (/ (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x)))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))))> |
#<alt (* -1/3 (/ (pow y 3) (pow x 2)))> |
#<alt (/ (+ (* -1/3 (pow y 3)) (* x (* (pow y 2) (- 1/2 (* 1/2 y))))) (pow x 2))> |
#<alt (/ (+ (* -1/3 (pow y 3)) (* x (+ (* x (+ 1 (* y (- (* y (- 1/2 (* 1/6 y))) 1)))) (* (pow y 2) (- 1/2 (* 1/2 y)))))) (pow x 2))> |
#<alt (/ (+ (* -1/3 (pow y 3)) (* x (+ (* x (+ 1 (* y (- (* y (- 1/2 (* 1/6 y))) 1)))) (* (pow y 2) (- 1/2 (* 1/2 y)))))) (pow x 2))> |
#<alt (+ 1 (* y (- (* y (- 1/2 (* 1/6 y))) 1)))> |
#<alt (+ 1 (+ (* y (- (* y (- 1/2 (* 1/6 y))) 1)) (/ (* (pow y 2) (- 1/2 (* 1/2 y))) x)))> |
#<alt (+ 1 (+ (* -1/3 (/ (pow y 3) (pow x 2))) (+ (* y (- (* y (- 1/2 (* 1/6 y))) 1)) (/ (* (pow y 2) (- 1/2 (* 1/2 y))) x))))> |
#<alt (+ 1 (+ (* -1/3 (/ (pow y 3) (pow x 2))) (+ (* y (- (* y (- 1/2 (* 1/6 y))) 1)) (/ (* (pow y 2) (- 1/2 (* 1/2 y))) x))))> |
#<alt (+ 1 (* y (- (* y (- 1/2 (* 1/6 y))) 1)))> |
#<alt (+ 1 (+ (* y (- (* y (- 1/2 (* 1/6 y))) 1)) (/ (* (pow y 2) (+ 1/2 (* -1/2 y))) x)))> |
#<alt (+ 1 (+ (* -1 (/ (+ (* -1 (* (pow y 2) (+ 1/2 (* -1/2 y)))) (* 1/3 (/ (pow y 3) x))) x)) (* y (- (* y (- 1/2 (* 1/6 y))) 1))))> |
#<alt (+ 1 (+ (* -1 (/ (+ (* -1 (* (pow y 2) (+ 1/2 (* -1/2 y)))) (* 1/3 (/ (pow y 3) x))) x)) (* y (- (* y (- 1/2 (* 1/6 y))) 1))))> |
#<alt y> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt x> |
#<alt (* x (+ 1 (/ y x)))> |
#<alt (* x (+ 1 (/ y x)))> |
#<alt (* x (+ 1 (/ y x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))> |
#<alt x> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt y> |
#<alt (* y (+ 1 (/ x y)))> |
#<alt (* y (+ 1 (/ x y)))> |
#<alt (* y (+ 1 (/ x y)))> |
#<alt y> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))> |
96 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | x | @ | -inf | (/ (/ 1 x) (pow (/ (+ x y) x) x)) |
| 6.0ms | y | @ | 0 | (/ (/ 1 x) (pow (/ (+ x y) x) x)) |
| 3.0ms | x | @ | inf | (/ (/ 1 x) (pow (/ (+ x y) x) x)) |
| 3.0ms | y | @ | inf | (/ (+ (* y (+ (* y (+ 1/2 (/ 1/2 x))) -1)) 1) x) |
| 2.0ms | y | @ | inf | (/ (/ 1 x) (pow (/ (+ x y) x) x)) |
| 1× | batch-egg-rewrite |
| 6 278× | lower-*.f32 |
| 6 274× | lower-*.f64 |
| 3 834× | lower-fma.f32 |
| 3 826× | lower-fma.f64 |
| 3 648× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 199 |
| 0 | 57 | 199 |
| 1 | 281 | 198 |
| 2 | 2603 | 197 |
| 0 | 8790 | 191 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (exp.f64 (neg.f64 y)) x) |
(exp.f64 (neg.f64 y)) |
(neg.f64 y) |
(/.f64 #s(literal 1 binary64) x) |
(/.f64 (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) x) |
(fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) |
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) |
(-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))) |
(+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))))) |
(*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))) |
(/.f64 (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))))) #s(literal -1 binary64)) #s(literal 1 binary64)) x) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (+.f64 x y) x) x)) |
(pow.f64 (/.f64 (+.f64 x y) x) x) |
(/.f64 (+.f64 x y) x) |
(fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))))) #s(literal -1 binary64)) |
(fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))))) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(+.f64 x y) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (*.f64 x (exp.f64 y))) #s(literal -1 binary64))) |
(exp.f64 (+.f64 (neg.f64 y) (neg.f64 (log.f64 x)))) |
(exp.f64 (+.f64 (neg.f64 (log.f64 x)) (neg.f64 y))) |
(exp.f64 (-.f64 (neg.f64 (log.f64 x)) y)) |
(neg.f64 (/.f64 (exp.f64 (neg.f64 y)) (neg.f64 x))) |
(neg.f64 (/.f64 (neg.f64 (exp.f64 (neg.f64 y))) x)) |
(/.f64 (exp.f64 (neg.f64 y)) x) |
(/.f64 #s(literal 1 binary64) (*.f64 x (exp.f64 y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 y) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (exp.f64 y)) #s(literal 1 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (exp.f64 y)) |
(/.f64 #s(literal -1 binary64) (*.f64 (exp.f64 y) (neg.f64 x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (exp.f64 y)))) |
(/.f64 (neg.f64 (exp.f64 (neg.f64 y))) (neg.f64 x)) |
(/.f64 (neg.f64 (neg.f64 (exp.f64 (neg.f64 y)))) (neg.f64 (neg.f64 x))) |
(/.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1 binary64)) x) |
(/.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1 binary64)) (neg.f64 x)) |
(pow.f64 (*.f64 x (exp.f64 y)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (exp.f64 y) x) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 x (exp.f64 y)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 (exp.f64 (neg.f64 y)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (neg.f64 y)) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (exp.f64 (neg.f64 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (exp.f64 (neg.f64 (neg.f64 y))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (exp.f64 (neg.f64 y))) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(exp.f64 (neg.f64 y)) |
(exp.f64 (*.f64 (log.f64 (exp.f64 y)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) y)) |
(/.f64 #s(literal 1 binary64) (exp.f64 y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 y) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 y))) |
(pow.f64 (exp.f64 y) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) y) |
(pow.f64 (/.f64 (exp.f64 y) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 y))) |
(+.f64 #s(literal 0 binary64) (neg.f64 y)) |
(-.f64 #s(literal 0 binary64) y) |
(neg.f64 y) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) |
(*.f64 y #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) y) |
(exp.f64 (neg.f64 (log.f64 x))) |
(neg.f64 (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 x)) |
(pow.f64 x #s(literal -1 binary64)) |
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) |
(pow.f64 (neg.f64 (neg.f64 x)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (neg.f64 x))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64))) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) x) |
(/.f64 (neg.f64 (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 x)) |
(/.f64 (fma.f64 (*.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))) (*.f64 (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) (*.f64 y (*.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))))) #s(literal 1 binary64)) (*.f64 x (-.f64 (fma.f64 (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) (*.f64 y (*.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))) #s(literal 1 binary64)) (*.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))))) |
(/.f64 (fma.f64 (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) (*.f64 y (*.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))) #s(literal -1 binary64)) (*.f64 x (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))) (*.f64 (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) (*.f64 y (*.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) (*.f64 y (*.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))) #s(literal 1 binary64)) (*.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))) x)) |
(/.f64 (*.f64 (fma.f64 (*.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))) (*.f64 (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) (*.f64 y (*.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))))) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 (fma.f64 (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) (*.f64 y (*.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))) #s(literal 1 binary64)) (*.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))) (neg.f64 x))) |
(/.f64 (*.f64 (fma.f64 (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) (*.f64 y (*.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal -1 binary64)) x)) |
(/.f64 (*.f64 (fma.f64 (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) (*.f64 y (*.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 x))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 x))) |
(/.f64 (*.f64 (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) x) |
(/.f64 (*.f64 (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 x)) |
(/.f64 (*.f64 (fma.f64 (*.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))) (*.f64 (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) (*.f64 y (*.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) (-.f64 (fma.f64 (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) (*.f64 y (*.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))) #s(literal 1 binary64)) (*.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))))) |
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(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 2 binary64))) (*.f64 y (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))) #s(literal -1 binary64))) #s(literal 3 binary64))) (-.f64 (fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 2 binary64))) (*.f64 y (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))) #s(literal -1 binary64)) (fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 2 binary64))) (*.f64 y (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))) #s(literal -1 binary64))) #s(literal 1 binary64)) (*.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 2 binary64))) (*.f64 y (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))) #s(literal -1 binary64))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 2 binary64))) (*.f64 y (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))) #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 y y) (*.f64 (fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 2 binary64))) (*.f64 y (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))) #s(literal -1 binary64)) (fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 2 binary64))) (*.f64 y (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))) #s(literal -1 binary64)))) (*.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 2 binary64))) (*.f64 y (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))) #s(literal -1 binary64)))))) |
(/.f64 (fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 2 binary64))) (*.f64 y (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))) #s(literal -1 binary64)) (fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 2 binary64))) (*.f64 y (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))) #s(literal -1 binary64))) #s(literal -1 binary64)) (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 2 binary64))) (*.f64 y (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 2 binary64))) (*.f64 y (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))) #s(literal -1 binary64))) #s(literal 3 binary64)))) (neg.f64 (-.f64 (fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 2 binary64))) (*.f64 y (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))) #s(literal -1 binary64)) (fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 2 binary64))) (*.f64 y (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))) #s(literal -1 binary64))) #s(literal 1 binary64)) (*.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 2 binary64))) (*.f64 y (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))) #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 2 binary64))) (*.f64 y (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))) #s(literal -1 binary64)) (fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 2 binary64))) (*.f64 y (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))) #s(literal -1 binary64))) #s(literal -1 binary64))) (neg.f64 (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 2 binary64))) (*.f64 y (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 (fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 2 binary64))) (*.f64 y (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))) #s(literal -1 binary64)) (fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 2 binary64))) (*.f64 y (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))) #s(literal -1 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 2 binary64))) (*.f64 y (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))) #s(literal -1 binary64))))) |
(pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 2 binary64))) (*.f64 y (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))) #s(literal -1 binary64)) (fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 2 binary64))) (*.f64 y (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))) #s(literal -1 binary64))) #s(literal 1 binary64)) (*.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 2 binary64))) (*.f64 y (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 2 binary64))) (*.f64 y (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))) #s(literal -1 binary64))) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 2 binary64))) (*.f64 y (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))) #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 2 binary64))) (*.f64 y (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))) #s(literal -1 binary64)) (fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 2 binary64))) (*.f64 y (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))) #s(literal -1 binary64))) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 2 binary64))) (*.f64 y (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))) #s(literal -1 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 2 binary64))) (*.f64 y (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))) #s(literal -1 binary64)) (fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 2 binary64))) (*.f64 y (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))) #s(literal -1 binary64))) #s(literal 1 binary64)) (*.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 2 binary64))) (*.f64 y (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))) #s(literal -1 binary64)))))) |
(*.f64 (fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 2 binary64))) (*.f64 y (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))) #s(literal -1 binary64)) (fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 2 binary64))) (*.f64 y (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 2 binary64))) (*.f64 y (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(+.f64 y x) |
(+.f64 x y) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y))) |
(fma.f64 x #s(literal 1 binary64) y) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (*.f64 (+.f64 y x) (-.f64 x y)))) |
(/.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
(/.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 y x)))) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 x y)) |
(/.f64 (neg.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (neg.f64 (-.f64 x y))) |
(/.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (-.f64 y x)) |
(pow.f64 (/.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 x y) (*.f64 (+.f64 y x) (-.f64 x y))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y))) |
| 1× | egg-herbie |
| 9 578× | lower-fma.f64 |
| 9 578× | lower-fma.f32 |
| 5 646× | lower-*.f64 |
| 5 646× | lower-*.f32 |
| 5 120× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 762 | 6624 |
| 1 | 2399 | 6220 |
| 0 | 8150 | 5830 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 x) |
(+ (* -1 (/ y x)) (/ 1 x)) |
(+ (* y (- (* 1/2 (/ y x)) (/ 1 x))) (/ 1 x)) |
(+ (* y (- (* y (+ (* -1/6 (/ y x)) (* 1/2 (/ 1 x)))) (/ 1 x))) (/ 1 x)) |
(/ (exp (neg y)) x) |
(/ (exp (neg y)) x) |
(/ (exp (neg y)) x) |
(/ (exp (neg y)) x) |
(/ (exp (* -1 y)) x) |
(/ (exp (* -1 y)) x) |
(/ (exp (* -1 y)) x) |
(/ (exp (* -1 y)) x) |
(/ (exp (neg y)) x) |
(/ (exp (neg y)) x) |
(/ (exp (neg y)) x) |
(/ (exp (neg y)) x) |
(/ (exp (neg y)) x) |
(/ (exp (neg y)) x) |
(/ (exp (neg y)) x) |
(/ (exp (neg y)) x) |
(/ (exp (neg y)) x) |
(/ (exp (neg y)) x) |
(/ (exp (neg y)) x) |
(/ (exp (neg y)) x) |
1 |
(+ 1 (* -1 y)) |
(+ 1 (* y (- (* 1/2 y) 1))) |
(+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) |
(exp (neg y)) |
(exp (neg y)) |
(exp (neg y)) |
(exp (neg y)) |
(exp (* -1 y)) |
(exp (* -1 y)) |
(exp (* -1 y)) |
(exp (* -1 y)) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(+ (* -1 (/ y x)) (/ 1 x)) |
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x)) |
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x)) |
(/ (* (pow y 2) (+ 1/2 (* 1/2 (/ 1 x)))) x) |
(* (pow y 2) (- (+ (/ 1/2 (pow x 2)) (* 1/2 (/ 1 x))) (/ 1 (* x y)))) |
(* (pow y 2) (- (+ (/ 1/2 (pow x 2)) (+ (* 1/2 (/ 1 x)) (/ 1 (* x (pow y 2))))) (/ 1 (* x y)))) |
(* (pow y 2) (- (+ (/ 1/2 (pow x 2)) (+ (* 1/2 (/ 1 x)) (/ 1 (* x (pow y 2))))) (/ 1 (* x y)))) |
(/ (* (pow y 2) (+ 1/2 (* 1/2 (/ 1 x)))) x) |
(* (pow y 2) (- (+ (/ 1/2 (pow x 2)) (* 1/2 (/ 1 x))) (/ 1 (* x y)))) |
(* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (+ (/ 1/2 (pow x 2)) (* 1/2 (/ 1 x))))) |
(* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (+ (/ 1/2 (pow x 2)) (* 1/2 (/ 1 x))))) |
(* 1/2 (/ (pow y 2) (pow x 2))) |
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) (pow x 2)) |
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) (pow x 2)) |
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) (pow x 2)) |
(/ (+ 1 (* y (- (* 1/2 y) 1))) x) |
(/ (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) x) |
(/ (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) x) |
(/ (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) x) |
(/ (+ 1 (* y (- (* 1/2 y) 1))) x) |
(* -1 (/ (+ (* -1 (+ 1 (* y (- (* 1/2 y) 1)))) (* -1/2 (/ (pow y 2) x))) x)) |
(* -1 (/ (+ (* -1 (+ 1 (* y (- (* 1/2 y) 1)))) (* -1/2 (/ (pow y 2) x))) x)) |
(* -1 (/ (+ (* -1 (+ 1 (* y (- (* 1/2 y) 1)))) (* -1/2 (/ (pow y 2) x))) x)) |
1 |
(+ 1 (* -1 y)) |
(+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1))) |
(+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1))) |
(* (pow y 2) (+ 1/2 (* 1/2 (/ 1 x)))) |
(* (pow y 2) (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y))) |
(* (pow y 2) (- (+ 1/2 (+ (* 1/2 (/ 1 x)) (/ 1 (pow y 2)))) (/ 1 y))) |
(* (pow y 2) (- (+ 1/2 (+ (* 1/2 (/ 1 x)) (/ 1 (pow y 2)))) (/ 1 y))) |
(* (pow y 2) (+ 1/2 (* 1/2 (/ 1 x)))) |
(* (pow y 2) (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y))) |
(* (pow y 2) (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x))))) |
(* (pow y 2) (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x))))) |
(* 1/2 (/ (pow y 2) x)) |
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) x) |
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) x) |
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) x) |
(+ 1 (* y (- (* 1/2 y) 1))) |
(+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) |
(+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) |
(+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) |
(+ 1 (* y (- (* 1/2 y) 1))) |
(+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) |
(+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) |
(+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) |
-1 |
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1 |
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(exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))) |
(+ (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))) (/ (* (pow x 2) (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))) y)) |
(+ (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))) (* -1 (/ (+ (* -1 (* (pow x 2) (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))) (* -1 (/ (* (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))) (+ (* -1/2 (pow x 3)) (* 1/2 (pow x 4)))) y))) y))) |
(+ (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))) (* -1 (/ (+ (* -1 (* (pow x 2) (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))) (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))) (+ (* -1/3 (pow x 4)) (+ (* -1/6 (pow x 6)) (* 1/2 (pow x 5))))) y)) (* (exp (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))) (+ (* -1/2 (pow x 3)) (* 1/2 (pow x 4))))) y))) y))) |
(/ y x) |
(/ (+ x y) x) |
(/ (+ x y) x) |
(/ (+ x y) x) |
1 |
(+ 1 (/ y x)) |
(+ 1 (/ y x)) |
(+ 1 (/ y x)) |
1 |
(+ 1 (/ y x)) |
(+ 1 (/ y x)) |
(+ 1 (/ y x)) |
1 |
(+ 1 (/ y x)) |
(+ 1 (/ y x)) |
(+ 1 (/ y x)) |
(/ y x) |
(* y (+ (/ 1 x) (/ 1 y))) |
(* y (+ (/ 1 x) (/ 1 y))) |
(* y (+ (/ 1 x) (/ 1 y))) |
(/ y x) |
(* y (+ (/ 1 x) (/ 1 y))) |
(* y (+ (/ 1 x) (/ 1 y))) |
(* y (+ (/ 1 x) (/ 1 y))) |
-1 |
(- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1) |
(- (* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) 1) |
(- (* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) 1) |
(* -1 (* (pow y 2) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) |
(* (pow y 2) (- (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) |
(* (pow y 2) (- (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (+ (* 1/2 (/ 1 x)) (/ 1 (pow y 2))))))) |
(* (pow y 2) (- (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (+ (* 1/2 (/ 1 x)) (/ 1 (pow y 2))))))) |
(* -1 (* (pow y 2) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) |
(* (pow y 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))))) |
(* (pow y 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (* -1 (/ (+ (* -1 (+ 1/2 (* 1/2 (/ 1 x)))) (/ 1 y)) y)))) |
(* (pow y 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (* -1 (/ (+ (* -1 (+ 1/2 (* 1/2 (/ 1 x)))) (/ 1 y)) y)))) |
(* -1/3 (/ (pow y 2) (pow x 2))) |
(/ (+ (* -1/3 (pow y 2)) (* x (* y (- 1/2 (* 1/2 y))))) (pow x 2)) |
(/ (+ (* -1/3 (pow y 2)) (* x (+ (* x (- (* y (- 1/2 (* 1/6 y))) 1)) (* y (- 1/2 (* 1/2 y)))))) (pow x 2)) |
(/ (+ (* -1/3 (pow y 2)) (* x (+ (* x (- (* y (- 1/2 (* 1/6 y))) 1)) (* y (- 1/2 (* 1/2 y)))))) (pow x 2)) |
(- (* y (- 1/2 (* 1/6 y))) 1) |
(- (+ (* y (- 1/2 (* 1/6 y))) (/ (* y (- 1/2 (* 1/2 y))) x)) 1) |
(- (+ (* -1/3 (/ (pow y 2) (pow x 2))) (+ (* y (- 1/2 (* 1/6 y))) (/ (* y (- 1/2 (* 1/2 y))) x))) 1) |
(- (+ (* -1/3 (/ (pow y 2) (pow x 2))) (+ (* y (- 1/2 (* 1/6 y))) (/ (* y (- 1/2 (* 1/2 y))) x))) 1) |
(- (* y (- 1/2 (* 1/6 y))) 1) |
(- (+ (* y (- 1/2 (* 1/6 y))) (/ (* y (+ 1/2 (* -1/2 y))) x)) 1) |
(- (+ (* -1 (/ (+ (* -1 (* y (+ 1/2 (* -1/2 y)))) (* 1/3 (/ (pow y 2) x))) x)) (* y (- 1/2 (* 1/6 y)))) 1) |
(- (+ (* -1 (/ (+ (* -1 (* y (+ 1/2 (* -1/2 y)))) (* 1/3 (/ (pow y 2) x))) x)) (* y (- 1/2 (* 1/6 y)))) 1) |
1 |
(+ 1 (* -1 y)) |
(+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1))) |
(+ 1 (* y (- (* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) 1))) |
(* -1 (* (pow y 3) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) |
(* (pow y 3) (- (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) |
(* (pow y 3) (- (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (+ (* 1/2 (/ 1 x)) (/ 1 (pow y 2))))))) |
(* (pow y 3) (- (+ (/ 1/2 (* x y)) (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 3)))) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (+ (* 1/2 (/ 1 x)) (/ 1 (pow y 2))))))) |
(* -1 (* (pow y 3) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) |
(* -1 (* (pow y 3) (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
(* -1 (* (pow y 3) (+ 1/6 (+ (* -1 (/ (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y)) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
(* -1 (* (pow y 3) (+ 1/6 (+ (* -1 (/ (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x)))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
(* -1/3 (/ (pow y 3) (pow x 2))) |
(/ (+ (* -1/3 (pow y 3)) (* x (* (pow y 2) (- 1/2 (* 1/2 y))))) (pow x 2)) |
(/ (+ (* -1/3 (pow y 3)) (* x (+ (* x (+ 1 (* y (- (* y (- 1/2 (* 1/6 y))) 1)))) (* (pow y 2) (- 1/2 (* 1/2 y)))))) (pow x 2)) |
(/ (+ (* -1/3 (pow y 3)) (* x (+ (* x (+ 1 (* y (- (* y (- 1/2 (* 1/6 y))) 1)))) (* (pow y 2) (- 1/2 (* 1/2 y)))))) (pow x 2)) |
(+ 1 (* y (- (* y (- 1/2 (* 1/6 y))) 1))) |
(+ 1 (+ (* y (- (* y (- 1/2 (* 1/6 y))) 1)) (/ (* (pow y 2) (- 1/2 (* 1/2 y))) x))) |
(+ 1 (+ (* -1/3 (/ (pow y 3) (pow x 2))) (+ (* y (- (* y (- 1/2 (* 1/6 y))) 1)) (/ (* (pow y 2) (- 1/2 (* 1/2 y))) x)))) |
(+ 1 (+ (* -1/3 (/ (pow y 3) (pow x 2))) (+ (* y (- (* y (- 1/2 (* 1/6 y))) 1)) (/ (* (pow y 2) (- 1/2 (* 1/2 y))) x)))) |
(+ 1 (* y (- (* y (- 1/2 (* 1/6 y))) 1))) |
(+ 1 (+ (* y (- (* y (- 1/2 (* 1/6 y))) 1)) (/ (* (pow y 2) (+ 1/2 (* -1/2 y))) x))) |
(+ 1 (+ (* -1 (/ (+ (* -1 (* (pow y 2) (+ 1/2 (* -1/2 y)))) (* 1/3 (/ (pow y 3) x))) x)) (* y (- (* y (- 1/2 (* 1/6 y))) 1)))) |
(+ 1 (+ (* -1 (/ (+ (* -1 (* (pow y 2) (+ 1/2 (* -1/2 y)))) (* 1/3 (/ (pow y 3) x))) x)) (* y (- (* y (- 1/2 (* 1/6 y))) 1)))) |
y |
(+ x y) |
(+ x y) |
(+ x y) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
x |
(+ x y) |
(+ x y) |
(+ x y) |
y |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
| Outputs |
|---|
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(+ (* -1 (/ y x)) (/ 1 x)) |
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)) |
(+ (* y (- (* 1/2 (/ y x)) (/ 1 x))) (/ 1 x)) |
(fma.f64 y (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) |
(+ (* y (- (* y (+ (* -1/6 (/ y x)) (* 1/2 (/ 1 x)))) (/ 1 x))) (/ 1 x)) |
(fma.f64 y (fma.f64 y (fma.f64 (/.f64 y x) #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) |
(/ (exp (neg y)) x) |
(/.f64 (exp.f64 (neg.f64 y)) x) |
(/ (exp (neg y)) x) |
(/.f64 (exp.f64 (neg.f64 y)) x) |
(/ (exp (neg y)) x) |
(/.f64 (exp.f64 (neg.f64 y)) x) |
(/ (exp (neg y)) x) |
(/.f64 (exp.f64 (neg.f64 y)) x) |
(/ (exp (* -1 y)) x) |
(/.f64 (exp.f64 (neg.f64 y)) x) |
(/ (exp (* -1 y)) x) |
(/.f64 (exp.f64 (neg.f64 y)) x) |
(/ (exp (* -1 y)) x) |
(/.f64 (exp.f64 (neg.f64 y)) x) |
(/ (exp (* -1 y)) x) |
(/.f64 (exp.f64 (neg.f64 y)) x) |
(/ (exp (neg y)) x) |
(/.f64 (exp.f64 (neg.f64 y)) x) |
(/ (exp (neg y)) x) |
(/.f64 (exp.f64 (neg.f64 y)) x) |
(/ (exp (neg y)) x) |
(/.f64 (exp.f64 (neg.f64 y)) x) |
(/ (exp (neg y)) x) |
(/.f64 (exp.f64 (neg.f64 y)) x) |
(/ (exp (neg y)) x) |
(/.f64 (exp.f64 (neg.f64 y)) x) |
(/ (exp (neg y)) x) |
(/.f64 (exp.f64 (neg.f64 y)) x) |
(/ (exp (neg y)) x) |
(/.f64 (exp.f64 (neg.f64 y)) x) |
(/ (exp (neg y)) x) |
(/.f64 (exp.f64 (neg.f64 y)) x) |
(/ (exp (neg y)) x) |
(/.f64 (exp.f64 (neg.f64 y)) x) |
(/ (exp (neg y)) x) |
(/.f64 (exp.f64 (neg.f64 y)) x) |
(/ (exp (neg y)) x) |
(/.f64 (exp.f64 (neg.f64 y)) x) |
(/ (exp (neg y)) x) |
(/.f64 (exp.f64 (neg.f64 y)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ 1 (* y (- (* 1/2 y) 1))) |
(fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) |
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(exp (neg y)) |
(exp.f64 (neg.f64 y)) |
(exp (neg y)) |
(exp.f64 (neg.f64 y)) |
(exp (neg y)) |
(exp.f64 (neg.f64 y)) |
(exp (neg y)) |
(exp.f64 (neg.f64 y)) |
(exp (* -1 y)) |
(exp.f64 (neg.f64 y)) |
(exp (* -1 y)) |
(exp.f64 (neg.f64 y)) |
(exp (* -1 y)) |
(exp.f64 (neg.f64 y)) |
(exp (* -1 y)) |
(exp.f64 (neg.f64 y)) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(+ (* -1 (/ y x)) (/ 1 x)) |
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)) |
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x)) |
(fma.f64 y (fma.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) |
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x)) |
(fma.f64 y (fma.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) |
(/ (* (pow y 2) (+ 1/2 (* 1/2 (/ 1 x)))) x) |
(/.f64 (*.f64 y (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) x) |
(* (pow y 2) (- (+ (/ 1/2 (pow x 2)) (* 1/2 (/ 1 x))) (/ 1 (* x y)))) |
(*.f64 (*.f64 y y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x y))))) |
(* (pow y 2) (- (+ (/ 1/2 (pow x 2)) (+ (* 1/2 (/ 1 x)) (/ 1 (* x (pow y 2))))) (/ 1 (* x y)))) |
(*.f64 (*.f64 y y) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y y))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x y)))))) |
(* (pow y 2) (- (+ (/ 1/2 (pow x 2)) (+ (* 1/2 (/ 1 x)) (/ 1 (* x (pow y 2))))) (/ 1 (* x y)))) |
(*.f64 (*.f64 y y) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y y))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x y)))))) |
(/ (* (pow y 2) (+ 1/2 (* 1/2 (/ 1 x)))) x) |
(/.f64 (*.f64 y (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) x) |
(* (pow y 2) (- (+ (/ 1/2 (pow x 2)) (* 1/2 (/ 1 x))) (/ 1 (* x y)))) |
(*.f64 (*.f64 y y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x y))))) |
(* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (+ (/ 1/2 (pow x 2)) (* 1/2 (/ 1 x))))) |
(*.f64 (*.f64 y y) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y y)))))) |
(* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (+ (/ 1/2 (pow x 2)) (* 1/2 (/ 1 x))))) |
(*.f64 (*.f64 y y) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y y)))))) |
(* 1/2 (/ (pow y 2) (pow x 2))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 y (*.f64 x x)))) |
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) (pow x 2)) |
(/.f64 (fma.f64 x (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x)) |
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) (pow x 2)) |
(/.f64 (fma.f64 x (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x)) |
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) (pow x 2)) |
(/.f64 (fma.f64 x (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x)) |
(/ (+ 1 (* y (- (* 1/2 y) 1))) x) |
(/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x) |
(/ (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) x) |
(/.f64 (fma.f64 y (/.f64 (*.f64 y #s(literal 1/2 binary64)) x) (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) x) |
(/ (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) x) |
(/.f64 (fma.f64 y (/.f64 (*.f64 y #s(literal 1/2 binary64)) x) (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) x) |
(/ (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) x) |
(/.f64 (fma.f64 y (/.f64 (*.f64 y #s(literal 1/2 binary64)) x) (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) x) |
(/ (+ 1 (* y (- (* 1/2 y) 1))) x) |
(/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x) |
(* -1 (/ (+ (* -1 (+ 1 (* y (- (* 1/2 y) 1)))) (* -1/2 (/ (pow y 2) x))) x)) |
(/.f64 (-.f64 (/.f64 (*.f64 y (*.f64 y #s(literal -1/2 binary64))) x) (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 x)) |
(* -1 (/ (+ (* -1 (+ 1 (* y (- (* 1/2 y) 1)))) (* -1/2 (/ (pow y 2) x))) x)) |
(/.f64 (-.f64 (/.f64 (*.f64 y (*.f64 y #s(literal -1/2 binary64))) x) (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 x)) |
(* -1 (/ (+ (* -1 (+ 1 (* y (- (* 1/2 y) 1)))) (* -1/2 (/ (pow y 2) x))) x)) |
(/.f64 (-.f64 (/.f64 (*.f64 y (*.f64 y #s(literal -1/2 binary64))) x) (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1))) |
(fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1))) |
(fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(* (pow y 2) (+ 1/2 (* 1/2 (/ 1 x)))) |
(*.f64 y (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) |
(* (pow y 2) (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y))) |
(*.f64 (*.f64 y y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) y)))) |
(* (pow y 2) (- (+ 1/2 (+ (* 1/2 (/ 1 x)) (/ 1 (pow y 2)))) (/ 1 y))) |
(*.f64 (*.f64 y y) (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) y))))) |
(* (pow y 2) (- (+ 1/2 (+ (* 1/2 (/ 1 x)) (/ 1 (pow y 2)))) (/ 1 y))) |
(*.f64 (*.f64 y y) (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) y))))) |
(* (pow y 2) (+ 1/2 (* 1/2 (/ 1 x)))) |
(*.f64 y (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) |
(* (pow y 2) (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y))) |
(*.f64 (*.f64 y y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) y)))) |
(* (pow y 2) (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x))))) |
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(* (pow y 3) (- (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (+ (* 1/2 (/ 1 x)) (/ 1 (pow y 2))))))) |
(*.f64 (*.f64 y (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))))) |
(* (pow y 3) (- (+ (/ 1/2 (* x y)) (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 3)))) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (+ (* 1/2 (/ 1 x)) (/ 1 (pow y 2))))))) |
(*.f64 (*.f64 y (*.f64 y y)) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (/.f64 #s(literal 1/2 binary64) y)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))))) |
(* -1 (* (pow y 3) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) |
(neg.f64 (*.f64 y (*.f64 (*.f64 y y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))))) |
(* -1 (* (pow y 3) (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) x)) y))) (neg.f64 (*.f64 y (*.f64 y y)))) |
(* -1 (* (pow y 3) (+ 1/6 (+ (* -1 (/ (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y)) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
(*.f64 (+.f64 #s(literal 1/6 binary64) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) y))) y))) (neg.f64 (*.f64 y (*.f64 y y)))) |
(* -1 (* (pow y 3) (+ 1/6 (+ (* -1 (/ (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x)))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y))) y))) (neg.f64 (*.f64 y (*.f64 y y)))) |
(* -1/3 (/ (pow y 3) (pow x 2))) |
(/.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal -1/3 binary64)))) (*.f64 x x)) |
(/ (+ (* -1/3 (pow y 3)) (* x (* (pow y 2) (- 1/2 (* 1/2 y))))) (pow x 2)) |
(/.f64 (fma.f64 x (*.f64 y (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 y (*.f64 y (*.f64 y #s(literal -1/3 binary64))))) (*.f64 x x)) |
(/ (+ (* -1/3 (pow y 3)) (* x (+ (* x (+ 1 (* y (- (* y (- 1/2 (* 1/6 y))) 1)))) (* (pow y 2) (- 1/2 (* 1/2 y)))))) (pow x 2)) |
(/.f64 (fma.f64 x (fma.f64 y (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (fma.f64 (*.f64 x y) (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) x)) (*.f64 y (*.f64 y (*.f64 y #s(literal -1/3 binary64))))) (*.f64 x x)) |
(/ (+ (* -1/3 (pow y 3)) (* x (+ (* x (+ 1 (* y (- (* y (- 1/2 (* 1/6 y))) 1)))) (* (pow y 2) (- 1/2 (* 1/2 y)))))) (pow x 2)) |
(/.f64 (fma.f64 x (fma.f64 y (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (fma.f64 (*.f64 x y) (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) x)) (*.f64 y (*.f64 y (*.f64 y #s(literal -1/3 binary64))))) (*.f64 x x)) |
(+ 1 (* y (- (* y (- 1/2 (* 1/6 y))) 1))) |
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(+ 1 (+ (* y (- (* y (- 1/2 (* 1/6 y))) 1)) (/ (* (pow y 2) (- 1/2 (* 1/2 y))) x))) |
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 y y) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))) |
(+ 1 (+ (* -1/3 (/ (pow y 3) (pow x 2))) (+ (* y (- (* y (- 1/2 (* 1/6 y))) 1)) (/ (* (pow y 2) (- 1/2 (* 1/2 y))) x)))) |
(fma.f64 #s(literal -1/3 binary64) (*.f64 y (*.f64 y (/.f64 y (*.f64 x x)))) (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 y y) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))) |
(+ 1 (+ (* -1/3 (/ (pow y 3) (pow x 2))) (+ (* y (- (* y (- 1/2 (* 1/6 y))) 1)) (/ (* (pow y 2) (- 1/2 (* 1/2 y))) x)))) |
(fma.f64 #s(literal -1/3 binary64) (*.f64 y (*.f64 y (/.f64 y (*.f64 x x)))) (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 y y) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))) |
(+ 1 (* y (- (* y (- 1/2 (* 1/6 y))) 1))) |
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(+ 1 (+ (* y (- (* y (- 1/2 (* 1/6 y))) 1)) (/ (* (pow y 2) (+ 1/2 (* -1/2 y))) x))) |
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 y y) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))) |
(+ 1 (+ (* -1 (/ (+ (* -1 (* (pow y 2) (+ 1/2 (* -1/2 y)))) (* 1/3 (/ (pow y 3) x))) x)) (* y (- (* y (- 1/2 (* 1/6 y))) 1)))) |
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (neg.f64 y) y) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 y y))) x)) x))) |
(+ 1 (+ (* -1 (/ (+ (* -1 (* (pow y 2) (+ 1/2 (* -1/2 y)))) (* 1/3 (/ (pow y 3) x))) x)) (* y (- (* y (- 1/2 (* 1/6 y))) 1)))) |
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (neg.f64 y) y) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 y y))) x)) x))) |
y |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
x |
(* x (+ 1 (/ y x))) |
(fma.f64 x (/.f64 y x) x) |
(* x (+ 1 (/ y x))) |
(fma.f64 x (/.f64 y x) x) |
(* x (+ 1 (/ y x))) |
(fma.f64 x (/.f64 y x) x) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 y (neg.f64 x))) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 y (neg.f64 x))) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 y (neg.f64 x))) (neg.f64 x)) |
x |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
y |
(* y (+ 1 (/ x y))) |
(fma.f64 y (/.f64 x y) y) |
(* y (+ 1 (/ x y))) |
(fma.f64 y (/.f64 x y) y) |
(* y (+ 1 (/ x y))) |
(fma.f64 y (/.f64 x y) y) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(neg.f64 (fma.f64 y (/.f64 x (neg.f64 y)) (neg.f64 y))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(neg.f64 (fma.f64 y (/.f64 x (neg.f64 y)) (neg.f64 y))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(neg.f64 (fma.f64 y (/.f64 x (neg.f64 y)) (neg.f64 y))) |
Compiled 28 501 to 2 933 computations (89.7% saved)
24 alts after pruning (22 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 895 | 21 | 916 |
| Fresh | 2 | 1 | 3 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 900 | 24 | 924 |
| Status | Accuracy | Program |
|---|---|---|
| 63.0% | (fma.f64 y (fma.f64 y (fma.f64 (/.f64 y x) #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) | |
| 63.7% | (/.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) x) | |
| 35.3% | (/.f64 (fma.f64 y (fma.f64 y (/.f64 (fma.f64 x (fma.f64 x (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 y #s(literal -1/3 binary64))) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)) x) | |
| 64.0% | (/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x) | |
| 61.1% | (/.f64 (fma.f64 y (/.f64 (fma.f64 x (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) x) | |
| ▶ | 32.8% | (/.f64 (fma.f64 y (/.f64 (fma.f64 x (fma.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 y (*.f64 y #s(literal -1/3 binary64)))) (*.f64 x x)) #s(literal 1 binary64)) x) |
| 73.3% | (/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x) | |
| ▶ | 58.2% | (/.f64 (/.f64 (fma.f64 x (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 y y))) x) x) |
| 33.1% | (/.f64 (/.f64 (fma.f64 x (fma.f64 y (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (fma.f64 (*.f64 x y) (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) x)) (*.f64 y (*.f64 y (*.f64 y #s(literal -1/3 binary64))))) (*.f64 x x)) x) | |
| 4.5% | (/.f64 (/.f64 (fma.f64 x (*.f64 y (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 y (*.f64 y (*.f64 y #s(literal -1/3 binary64))))) (*.f64 x x)) x) | |
| 8.1% | (/.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal -1/3 binary64)))) (*.f64 x x)) x) | |
| ▶ | 6.2% | (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) x) x) |
| 55.5% | (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (fma.f64 y (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) x))) (/.f64 #s(literal -1/2 binary64) x))) #s(literal 1 binary64)) #s(literal 1 binary64))) | |
| 60.9% | (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1 binary64)) #s(literal 1 binary64))) | |
| 39.3% | (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 y x) x)) | |
| 62.1% | (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) y)) | |
| ▶ | 57.7% | (/.f64 (-.f64 #s(literal 1 binary64) y) x) |
| 8.7% | (/.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal -1/3 binary64)))) (*.f64 x (*.f64 x x))) | |
| ✓ | 80.2% | (/.f64 (exp.f64 (neg.f64 y)) x) |
| ▶ | 80.2% | (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 y) x)) |
| ✓ | 77.3% | (/.f64 #s(literal 1 binary64) x) |
| 28.8% | (*.f64 (*.f64 y y) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y y)))))) | |
| 11.0% | (*.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 y (*.f64 x x)))) | |
| 9.9% | (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) (/.f64 (*.f64 y (*.f64 y y)) x))) |
Compiled 818 to 511 computations (37.5% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 x (fma.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 y (*.f64 y #s(literal -1/3 binary64)))) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (fma.f64 y (/.f64 (fma.f64 x (fma.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 y (*.f64 y #s(literal -1/3 binary64)))) (*.f64 x x)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 y (/.f64 (fma.f64 x (fma.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 y (*.f64 y #s(literal -1/3 binary64)))) (*.f64 x x)) #s(literal 1 binary64)) x) |
| ✓ | cost-diff | 192 | (fma.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
| ✓ | cost-diff | 0 | (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 x (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 y y))) x) |
| ✓ | cost-diff | 384 | (/.f64 (/.f64 (fma.f64 x (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 y y))) x) x) |
| ✓ | cost-diff | 512 | (fma.f64 x (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 y y))) |
| ✓ | cost-diff | 0 | (*.f64 y y) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) x) |
| ✓ | cost-diff | 384 | (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) x) x) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) y) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) y) x) |
| ✓ | cost-diff | 0 | (exp.f64 y) |
| ✓ | cost-diff | 0 | (*.f64 (exp.f64 y) x) |
| ✓ | cost-diff | 192 | (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 y) x)) |
| 19 320× | lower-fma.f32 |
| 19 302× | lower-fma.f64 |
| 3 366× | lower-*.f32 |
| 3 352× | lower-*.f64 |
| 3 032× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 288 |
| 0 | 69 | 288 |
| 1 | 146 | 287 |
| 2 | 330 | 287 |
| 3 | 918 | 287 |
| 4 | 2249 | 284 |
| 5 | 4212 | 284 |
| 6 | 7208 | 284 |
| 0 | 8235 | 273 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 y) x)) |
#s(literal 1 binary64) |
(*.f64 (exp.f64 y) x) |
(exp.f64 y) |
y |
x |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
x |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) x) x) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) x) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y y)) |
#s(literal 1/2 binary64) |
(*.f64 y y) |
y |
x |
(/.f64 (/.f64 (fma.f64 x (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 y y))) x) x) |
(/.f64 (fma.f64 x (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 y y))) x) |
(fma.f64 x (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 y y))) |
x |
(fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) |
y |
(fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) |
#s(literal 1/2 binary64) |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y y)) |
(*.f64 y y) |
(/.f64 (fma.f64 y (/.f64 (fma.f64 x (fma.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 y (*.f64 y #s(literal -1/3 binary64)))) (*.f64 x x)) #s(literal 1 binary64)) x) |
(fma.f64 y (/.f64 (fma.f64 x (fma.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 y (*.f64 y #s(literal -1/3 binary64)))) (*.f64 x x)) #s(literal 1 binary64)) |
y |
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 y (*.f64 y #s(literal -1/3 binary64)))) (*.f64 x x)) |
(fma.f64 x (fma.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 y (*.f64 y #s(literal -1/3 binary64)))) |
x |
(fma.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) |
#s(literal -1/6 binary64) |
#s(literal 1/2 binary64) |
#s(literal -1 binary64) |
(*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
(fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
#s(literal -1/2 binary64) |
(*.f64 y (*.f64 y #s(literal -1/3 binary64))) |
(*.f64 y #s(literal -1/3 binary64)) |
#s(literal -1/3 binary64) |
(*.f64 x x) |
#s(literal 1 binary64) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 y) x)) |
(/.f64 (exp.f64 (neg.f64 y)) x) |
#s(literal 1 binary64) |
(*.f64 (exp.f64 y) x) |
(exp.f64 y) |
y |
x |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
x |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) x) x) |
(/.f64 (*.f64 y (*.f64 y #s(literal 1/2 binary64))) (*.f64 x x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) x) |
(/.f64 (*.f64 y (*.f64 y #s(literal 1/2 binary64))) x) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y y)) |
(*.f64 y (*.f64 y #s(literal 1/2 binary64))) |
#s(literal 1/2 binary64) |
(*.f64 y y) |
y |
x |
(/.f64 (/.f64 (fma.f64 x (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 y y))) x) x) |
(/.f64 (fma.f64 y (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 x)) x) (*.f64 x x)) |
(/.f64 (fma.f64 x (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 y y))) x) |
(/.f64 (fma.f64 y (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 x)) x) x) |
(fma.f64 x (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 y y))) |
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 x)) x) |
x |
(fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) |
y |
(fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) |
#s(literal 1/2 binary64) |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y y)) |
(*.f64 y (*.f64 y #s(literal 1/2 binary64))) |
(*.f64 y y) |
(/.f64 (fma.f64 y (/.f64 (fma.f64 x (fma.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 y (*.f64 y #s(literal -1/3 binary64)))) (*.f64 x x)) #s(literal 1 binary64)) x) |
(/.f64 (fma.f64 (fma.f64 y (fma.f64 x (fma.f64 x (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 y #s(literal -1/3 binary64))) (*.f64 x (neg.f64 x))) (/.f64 y (*.f64 x x)) #s(literal 1 binary64)) x) |
(fma.f64 y (/.f64 (fma.f64 x (fma.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 y (*.f64 y #s(literal -1/3 binary64)))) (*.f64 x x)) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 y (fma.f64 x (fma.f64 x (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 y #s(literal -1/3 binary64))) (*.f64 x (neg.f64 x))) (/.f64 y (*.f64 x x)) #s(literal 1 binary64)) |
y |
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 y (*.f64 y #s(literal -1/3 binary64)))) (*.f64 x x)) |
(/.f64 (fma.f64 y (fma.f64 x (fma.f64 x (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 y #s(literal -1/3 binary64))) (*.f64 x (neg.f64 x))) (*.f64 x x)) |
(fma.f64 x (fma.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 y (*.f64 y #s(literal -1/3 binary64)))) |
(fma.f64 y (fma.f64 x (fma.f64 x (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 y #s(literal -1/3 binary64))) (*.f64 x (neg.f64 x))) |
x |
(fma.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(-.f64 (*.f64 y (fma.f64 x (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) x) |
(fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) |
#s(literal -1/6 binary64) |
#s(literal 1/2 binary64) |
#s(literal -1 binary64) |
(*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
(fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
#s(literal -1/2 binary64) |
(*.f64 y (*.f64 y #s(literal -1/3 binary64))) |
(*.f64 (*.f64 y y) #s(literal -1/3 binary64)) |
(*.f64 y #s(literal -1/3 binary64)) |
#s(literal -1/3 binary64) |
(*.f64 x x) |
#s(literal 1 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.6% | (*.f64 y #s(literal -1/3 binary64)) |
| ✓ | accuracy | 99.0% | (fma.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
| ✓ | accuracy | 96.3% | (/.f64 (fma.f64 y (/.f64 (fma.f64 x (fma.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 y (*.f64 y #s(literal -1/3 binary64)))) (*.f64 x x)) #s(literal 1 binary64)) x) |
| ✓ | accuracy | 68.9% | (/.f64 (fma.f64 x (fma.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 y (*.f64 y #s(literal -1/3 binary64)))) (*.f64 x x)) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) |
| ✓ | accuracy | 98.8% | (fma.f64 x (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 y y))) |
| ✓ | accuracy | 97.7% | (/.f64 (/.f64 (fma.f64 x (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 y y))) x) x) |
| ✓ | accuracy | 95.5% | (/.f64 (fma.f64 x (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 y y))) x) |
| ✓ | accuracy | 100.0% | (*.f64 y y) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) |
| ✓ | accuracy | 95.6% | (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) x) x) |
| ✓ | accuracy | 92.6% | (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) x) |
| ✓ | accuracy | 100.0% | (/.f64 (-.f64 #s(literal 1 binary64) y) x) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) y) |
| ✓ | accuracy | 100.0% | (*.f64 (exp.f64 y) x) |
| ✓ | accuracy | 100.0% | (exp.f64 y) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 y) x)) |
| 115.0ms | 207× | 0 | valid |
| 15.0ms | 49× | 0 | exit |
Compiled 290 to 45 computations (84.5% saved)
ival-sub: 28.0ms (27.8% of total)ival-add: 26.0ms (25.8% of total)ival-mult: 23.0ms (22.8% of total)ival-div: 13.0ms (12.9% of total)const: 7.0ms (6.9% of total)ival-exp: 2.0ms (2% of total)exact: 1.0ms (1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 y) x))> |
#<alt (*.f64 (exp.f64 y) x)> |
#<alt (exp.f64 y)> |
#<alt (/.f64 (-.f64 #s(literal 1 binary64) y) x)> |
#<alt (-.f64 #s(literal 1 binary64) y)> |
#<alt (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) x) x)> |
#<alt (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) x)> |
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y y))> |
#<alt (*.f64 y y)> |
#<alt (fma.f64 x (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 y y)))> |
#<alt (/.f64 (/.f64 (fma.f64 x (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 y y))) x) x)> |
#<alt (/.f64 (fma.f64 x (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 y y))) x)> |
#<alt (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))> |
#<alt (fma.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))))> |
#<alt (/.f64 (fma.f64 y (/.f64 (fma.f64 x (fma.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 y (*.f64 y #s(literal -1/3 binary64)))) (*.f64 x x)) #s(literal 1 binary64)) x)> |
#<alt (fma.f64 y (/.f64 (fma.f64 x (fma.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 y (*.f64 y #s(literal -1/3 binary64)))) (*.f64 x x)) #s(literal 1 binary64))> |
#<alt (/.f64 (fma.f64 x (fma.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 y (*.f64 y #s(literal -1/3 binary64)))) (*.f64 x x))> |
#<alt (*.f64 y #s(literal -1/3 binary64))> |
| Outputs |
|---|
#<alt (/ 1 x)> |
#<alt (+ (* -1 (/ y x)) (/ 1 x))> |
#<alt (+ (* y (- (* 1/2 (/ y x)) (/ 1 x))) (/ 1 x))> |
#<alt (+ (* y (- (* y (+ (* -1/6 (/ y x)) (* 1/2 (/ 1 x)))) (/ 1 x))) (/ 1 x))> |
#<alt (/ 1 (* x (exp y)))> |
#<alt (/ 1 (* x (exp y)))> |
#<alt (/ 1 (* x (exp y)))> |
#<alt (/ 1 (* x (exp y)))> |
#<alt (/ 1 (* x (exp y)))> |
#<alt (/ 1 (* x (exp y)))> |
#<alt (/ 1 (* x (exp y)))> |
#<alt (/ 1 (* x (exp y)))> |
#<alt (/ 1 (* x (exp y)))> |
#<alt (/ 1 (* x (exp y)))> |
#<alt (/ 1 (* x (exp y)))> |
#<alt (/ 1 (* x (exp y)))> |
#<alt (/ 1 (* x (exp y)))> |
#<alt (/ 1 (* x (exp y)))> |
#<alt (/ 1 (* x (exp y)))> |
#<alt (/ 1 (* x (exp y)))> |
#<alt (/ 1 (* x (exp y)))> |
#<alt (/ 1 (* x (exp y)))> |
#<alt (/ 1 (* x (exp y)))> |
#<alt (/ 1 (* x (exp y)))> |
#<alt x> |
#<alt (+ x (* x y))> |
#<alt (+ x (* y (+ x (* 1/2 (* x y)))))> |
#<alt (+ x (* y (+ x (* y (+ (* 1/6 (* x y)) (* 1/2 x))))))> |
#<alt (* x (exp y))> |
#<alt (* x (exp y))> |
#<alt (* x (exp y))> |
#<alt (* x (exp y))> |
#<alt (* x (exp y))> |
#<alt (* x (exp y))> |
#<alt (* x (exp y))> |
#<alt (* x (exp y))> |
#<alt (* x (exp y))> |
#<alt (* x (exp y))> |
#<alt (* x (exp y))> |
#<alt (* x (exp y))> |
#<alt (* x (exp y))> |
#<alt (* x (exp y))> |
#<alt (* x (exp y))> |
#<alt (* x (exp y))> |
#<alt (* x (exp y))> |
#<alt (* x (exp y))> |
#<alt (* x (exp y))> |
#<alt (* x (exp y))> |
#<alt 1> |
#<alt (+ 1 y)> |
#<alt (+ 1 (* y (+ 1 (* 1/2 y))))> |
#<alt (+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))> |
#<alt (exp y)> |
#<alt (exp y)> |
#<alt (exp y)> |
#<alt (exp y)> |
#<alt (exp y)> |
#<alt (exp y)> |
#<alt (exp y)> |
#<alt (exp y)> |
#<alt (/ 1 x)> |
#<alt (+ (* -1 (/ y x)) (/ 1 x))> |
#<alt (+ (* -1 (/ y x)) (/ 1 x))> |
#<alt (+ (* -1 (/ y x)) (/ 1 x))> |
#<alt (* -1 (/ y x))> |
#<alt (* y (- (/ 1 (* x y)) (/ 1 x)))> |
#<alt (* y (- (/ 1 (* x y)) (/ 1 x)))> |
#<alt (* y (- (/ 1 (* x y)) (/ 1 x)))> |
#<alt (* -1 (/ y x))> |
#<alt (* -1 (* y (- (/ 1 x) (/ 1 (* x y)))))> |
#<alt (* -1 (* y (- (/ 1 x) (/ 1 (* x y)))))> |
#<alt (* -1 (* y (- (/ 1 x) (/ 1 (* x y)))))> |
#<alt (/ (- 1 y) x)> |
#<alt (/ (- 1 y) x)> |
#<alt (/ (- 1 y) x)> |
#<alt (/ (- 1 y) x)> |
#<alt (/ (- 1 y) x)> |
#<alt (/ (- 1 y) x)> |
#<alt (/ (- 1 y) x)> |
#<alt (/ (- 1 y) x)> |
#<alt (/ (- 1 y) x)> |
#<alt (/ (- 1 y) x)> |
#<alt (/ (- 1 y) x)> |
#<alt (/ (- 1 y) x)> |
#<alt 1> |
#<alt (+ 1 (* -1 y))> |
#<alt (+ 1 (* -1 y))> |
#<alt (+ 1 (* -1 y))> |
#<alt (* -1 y)> |
#<alt (* y (- (/ 1 y) 1))> |
#<alt (* y (- (/ 1 y) 1))> |
#<alt (* y (- (/ 1 y) 1))> |
#<alt (* -1 y)> |
#<alt (* -1 (* y (- 1 (/ 1 y))))> |
#<alt (* -1 (* y (- 1 (/ 1 y))))> |
#<alt (* -1 (* y (- 1 (/ 1 y))))> |
#<alt (* 1/2 (/ (pow y 2) (pow x 2)))> |
#<alt (* 1/2 (/ (pow y 2) (pow x 2)))> |
#<alt (* 1/2 (/ (pow y 2) (pow x 2)))> |
#<alt (* 1/2 (/ (pow y 2) (pow x 2)))> |
#<alt (* 1/2 (/ (pow y 2) (pow x 2)))> |
#<alt (* 1/2 (/ (pow y 2) (pow x 2)))> |
#<alt (* 1/2 (/ (pow y 2) (pow x 2)))> |
#<alt (* 1/2 (/ (pow y 2) (pow x 2)))> |
#<alt (* 1/2 (/ (pow y 2) (pow x 2)))> |
#<alt (* 1/2 (/ (pow y 2) (pow x 2)))> |
#<alt (* 1/2 (/ (pow y 2) (pow x 2)))> |
#<alt (* 1/2 (/ (pow y 2) (pow x 2)))> |
#<alt (* 1/2 (/ (pow y 2) (pow x 2)))> |
#<alt (* 1/2 (/ (pow y 2) (pow x 2)))> |
#<alt (* 1/2 (/ (pow y 2) (pow x 2)))> |
#<alt (* 1/2 (/ (pow y 2) (pow x 2)))> |
#<alt (* 1/2 (/ (pow y 2) (pow x 2)))> |
#<alt (* 1/2 (/ (pow y 2) (pow x 2)))> |
#<alt (* 1/2 (/ (pow y 2) (pow x 2)))> |
#<alt (* 1/2 (/ (pow y 2) (pow x 2)))> |
#<alt (* 1/2 (/ (pow y 2) (pow x 2)))> |
#<alt (* 1/2 (/ (pow y 2) (pow x 2)))> |
#<alt (* 1/2 (/ (pow y 2) (pow x 2)))> |
#<alt (* 1/2 (/ (pow y 2) (pow x 2)))> |
#<alt (* 1/2 (/ (pow y 2) x))> |
#<alt (* 1/2 (/ (pow y 2) x))> |
#<alt (* 1/2 (/ (pow y 2) x))> |
#<alt (* 1/2 (/ (pow y 2) x))> |
#<alt (* 1/2 (/ (pow y 2) x))> |
#<alt (* 1/2 (/ (pow y 2) x))> |
#<alt (* 1/2 (/ (pow y 2) x))> |
#<alt (* 1/2 (/ (pow y 2) x))> |
#<alt (* 1/2 (/ (pow y 2) x))> |
#<alt (* 1/2 (/ (pow y 2) x))> |
#<alt (* 1/2 (/ (pow y 2) x))> |
#<alt (* 1/2 (/ (pow y 2) x))> |
#<alt (* 1/2 (/ (pow y 2) x))> |
#<alt (* 1/2 (/ (pow y 2) x))> |
#<alt (* 1/2 (/ (pow y 2) x))> |
#<alt (* 1/2 (/ (pow y 2) x))> |
#<alt (* 1/2 (/ (pow y 2) x))> |
#<alt (* 1/2 (/ (pow y 2) x))> |
#<alt (* 1/2 (/ (pow y 2) x))> |
#<alt (* 1/2 (/ (pow y 2) x))> |
#<alt (* 1/2 (/ (pow y 2) x))> |
#<alt (* 1/2 (/ (pow y 2) x))> |
#<alt (* 1/2 (/ (pow y 2) x))> |
#<alt (* 1/2 (/ (pow y 2) x))> |
#<alt (* 1/2 (pow y 2))> |
#<alt (* 1/2 (pow y 2))> |
#<alt (* 1/2 (pow y 2))> |
#<alt (* 1/2 (pow y 2))> |
#<alt (* 1/2 (pow y 2))> |
#<alt (* 1/2 (pow y 2))> |
#<alt (* 1/2 (pow y 2))> |
#<alt (* 1/2 (pow y 2))> |
#<alt (* 1/2 (pow y 2))> |
#<alt (* 1/2 (pow y 2))> |
#<alt (* 1/2 (pow y 2))> |
#<alt (* 1/2 (pow y 2))> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (* 1/2 (pow y 2))> |
#<alt (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1)))))> |
#<alt (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1)))))> |
#<alt (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1)))))> |
#<alt (* x (+ 1 (* y (- (* 1/2 y) 1))))> |
#<alt (* x (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))))> |
#<alt (* x (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))))> |
#<alt (* x (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))))> |
#<alt (* x (+ 1 (* y (- (* 1/2 y) 1))))> |
#<alt (* -1 (* x (+ (* -1 (+ 1 (* y (- (* 1/2 y) 1)))) (* -1/2 (/ (pow y 2) x)))))> |
#<alt (* -1 (* x (+ (* -1 (+ 1 (* y (- (* 1/2 y) 1)))) (* -1/2 (/ (pow y 2) x)))))> |
#<alt (* -1 (* x (+ (* -1 (+ 1 (* y (- (* 1/2 y) 1)))) (* -1/2 (/ (pow y 2) x)))))> |
#<alt x> |
#<alt (+ x (* -1 (* x y)))> |
#<alt (+ x (* y (+ (* -1 x) (* y (+ 1/2 (* 1/2 x))))))> |
#<alt (+ x (* y (+ (* -1 x) (* y (+ 1/2 (* 1/2 x))))))> |
#<alt (* (pow y 2) (+ 1/2 (* 1/2 x)))> |
#<alt (* (pow y 2) (+ 1/2 (+ (* -1 (/ x y)) (* 1/2 x))))> |
#<alt (* (pow y 2) (+ 1/2 (+ (* -1 (/ x y)) (+ (* 1/2 x) (/ x (pow y 2))))))> |
#<alt (* (pow y 2) (+ 1/2 (+ (* -1 (/ x y)) (+ (* 1/2 x) (/ x (pow y 2))))))> |
#<alt (* (pow y 2) (+ 1/2 (* 1/2 x)))> |
#<alt (* (pow y 2) (+ 1/2 (+ (* -1 (/ x y)) (* 1/2 x))))> |
#<alt (* (pow y 2) (+ 1/2 (+ (* -1 (/ (+ x (* -1 (/ x y))) y)) (* 1/2 x))))> |
#<alt (* (pow y 2) (+ 1/2 (+ (* -1 (/ (+ x (* -1 (/ x y))) y)) (* 1/2 x))))> |
#<alt (* 1/2 (/ (pow y 2) (pow x 2)))> |
#<alt (/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) (pow x 2))> |
#<alt (/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) (pow x 2))> |
#<alt (/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) (pow x 2))> |
#<alt (/ (+ 1 (* y (- (* 1/2 y) 1))) x)> |
#<alt (/ (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) x)> |
#<alt (/ (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) x)> |
#<alt (/ (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) x)> |
#<alt (/ (+ 1 (* y (- (* 1/2 y) 1))) x)> |
#<alt (* -1 (/ (+ (* -1 (+ 1 (* y (- (* 1/2 y) 1)))) (* -1/2 (/ (pow y 2) x))) x))> |
#<alt (* -1 (/ (+ (* -1 (+ 1 (* y (- (* 1/2 y) 1)))) (* -1/2 (/ (pow y 2) x))) x))> |
#<alt (* -1 (/ (+ (* -1 (+ 1 (* y (- (* 1/2 y) 1)))) (* -1/2 (/ (pow y 2) x))) x))> |
#<alt (/ 1 x)> |
#<alt (+ (* -1 (/ y x)) (/ 1 x))> |
#<alt (+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))> |
#<alt (+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))> |
#<alt (/ (* (pow y 2) (+ 1/2 (* 1/2 x))) (pow x 2))> |
#<alt (* (pow y 2) (- (+ (/ 1/2 x) (* 1/2 (/ 1 (pow x 2)))) (/ 1 (* x y))))> |
#<alt (* (pow y 2) (- (+ (/ 1/2 x) (+ (/ 1 (* x (pow y 2))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 (* x y))))> |
#<alt (* (pow y 2) (- (+ (/ 1/2 x) (+ (/ 1 (* x (pow y 2))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 (* x y))))> |
#<alt (/ (* (pow y 2) (+ 1/2 (* 1/2 x))) (pow x 2))> |
#<alt (* (pow y 2) (- (+ (/ 1/2 x) (* 1/2 (/ 1 (pow x 2)))) (/ 1 (* x y))))> |
#<alt (* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (+ (/ 1/2 x) (* 1/2 (/ 1 (pow x 2))))))> |
#<alt (* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (+ (/ 1/2 x) (* 1/2 (/ 1 (pow x 2))))))> |
#<alt (* 1/2 (/ (pow y 2) x))> |
#<alt (/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) x)> |
#<alt (/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) x)> |
#<alt (/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) x)> |
#<alt (+ 1 (* y (- (* 1/2 y) 1)))> |
#<alt (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))))> |
#<alt (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))))> |
#<alt (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))))> |
#<alt (+ 1 (* y (- (* 1/2 y) 1)))> |
#<alt (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))))> |
#<alt (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))))> |
#<alt (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))))> |
#<alt 1> |
#<alt (+ 1 (* -1 y))> |
#<alt (+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1)))> |
#<alt (+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1)))> |
#<alt (/ (* (pow y 2) (+ 1/2 (* 1/2 x))) x)> |
#<alt (* (pow y 2) (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y)))> |
#<alt (* (pow y 2) (- (+ 1/2 (+ (* 1/2 (/ 1 x)) (/ 1 (pow y 2)))) (/ 1 y)))> |
#<alt (* (pow y 2) (- (+ 1/2 (+ (* 1/2 (/ 1 x)) (/ 1 (pow y 2)))) (/ 1 y)))> |
#<alt (/ (* (pow y 2) (+ 1/2 (* 1/2 x))) x)> |
#<alt (* (pow y 2) (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y)))> |
#<alt (* (pow y 2) (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x)))))> |
#<alt (* (pow y 2) (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x)))))> |
#<alt 1> |
#<alt (+ 1 (* -1 y))> |
#<alt (+ 1 (* y (- (* 1/2 y) 1)))> |
#<alt (+ 1 (* y (- (* 1/2 y) 1)))> |
#<alt (* 1/2 (pow y 2))> |
#<alt (* (pow y 2) (- 1/2 (/ 1 y)))> |
#<alt (* (pow y 2) (- (+ 1/2 (/ 1 (pow y 2))) (/ 1 y)))> |
#<alt (* (pow y 2) (- (+ 1/2 (/ 1 (pow y 2))) (/ 1 y)))> |
#<alt (* 1/2 (pow y 2))> |
#<alt (* (pow y 2) (- 1/2 (/ 1 y)))> |
#<alt (* (pow y 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 y)) y))))> |
#<alt (* (pow y 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 y)) y))))> |
#<alt (* y (+ 1/2 (* -1/2 y)))> |
#<alt (+ (* x (- (* y (+ 1/2 (* -1/6 y))) 1)) (* y (+ 1/2 (* -1/2 y))))> |
#<alt (+ (* x (- (* y (+ 1/2 (* -1/6 y))) 1)) (* y (+ 1/2 (* -1/2 y))))> |
#<alt (+ (* x (- (* y (+ 1/2 (* -1/6 y))) 1)) (* y (+ 1/2 (* -1/2 y))))> |
#<alt (* x (- (* y (+ 1/2 (* -1/6 y))) 1))> |
#<alt (* x (- (+ (* y (+ 1/2 (* -1/6 y))) (/ (* y (+ 1/2 (* -1/2 y))) x)) 1))> |
#<alt (* x (- (+ (* y (+ 1/2 (* -1/6 y))) (/ (* y (+ 1/2 (* -1/2 y))) x)) 1))> |
#<alt (* x (- (+ (* y (+ 1/2 (* -1/6 y))) (/ (* y (+ 1/2 (* -1/2 y))) x)) 1))> |
#<alt (* x (- (* y (+ 1/2 (* -1/6 y))) 1))> |
#<alt (* -1 (* x (+ (* -1 (- (* y (+ 1/2 (* -1/6 y))) 1)) (* -1 (/ (* y (+ 1/2 (* -1/2 y))) x)))))> |
#<alt (* -1 (* x (+ (* -1 (- (* y (+ 1/2 (* -1/6 y))) 1)) (* -1 (/ (* y (+ 1/2 (* -1/2 y))) x)))))> |
#<alt (* -1 (* x (+ (* -1 (- (* y (+ 1/2 (* -1/6 y))) 1)) (* -1 (/ (* y (+ 1/2 (* -1/2 y))) x)))))> |
#<alt (* -1 x)> |
#<alt (+ (* -1 x) (* y (+ 1/2 (* 1/2 x))))> |
#<alt (+ (* -1 x) (* y (+ 1/2 (+ (* 1/2 x) (* y (- (* -1/6 x) 1/2))))))> |
#<alt (+ (* -1 x) (* y (+ 1/2 (+ (* 1/2 x) (* y (- (* -1/6 x) 1/2))))))> |
#<alt (* (pow y 2) (- (* -1/6 x) 1/2))> |
#<alt (* (pow y 2) (- (+ (* -1/6 x) (+ (* 1/2 (/ x y)) (* 1/2 (/ 1 y)))) 1/2))> |
#<alt (* (pow y 2) (- (+ (* -1 (/ x (pow y 2))) (+ (* -1/6 x) (+ (* 1/2 (/ x y)) (* 1/2 (/ 1 y))))) 1/2))> |
#<alt (* (pow y 2) (- (+ (* -1 (/ x (pow y 2))) (+ (* -1/6 x) (+ (* 1/2 (/ x y)) (* 1/2 (/ 1 y))))) 1/2))> |
#<alt (* (pow y 2) (- (* -1/6 x) 1/2))> |
#<alt (* (pow y 2) (- (+ (* -1 (/ (- (* -1/2 x) 1/2) y)) (* -1/6 x)) 1/2))> |
#<alt (* (pow y 2) (- (+ (* -1 (/ (- (+ (* -1/2 x) (/ x y)) 1/2) y)) (* -1/6 x)) 1/2))> |
#<alt (* (pow y 2) (- (+ (* -1 (/ (- (+ (* -1/2 x) (/ x y)) 1/2) y)) (* -1/6 x)) 1/2))> |
#<alt (/ 1 x)> |
#<alt (+ (* -1 (/ y x)) (/ 1 x))> |
#<alt (+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))> |
#<alt (+ (* y (- (* y (+ (* -1 (/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) (/ 1 x))) (/ 1 x))> |
#<alt (* -1 (/ (* (pow y 3) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x))> |
#<alt (* (pow y 3) (+ (* -1 (/ (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))) x)) (+ (/ 1/2 (* x y)) (/ 1/2 (* (pow x 2) y)))))> |
#<alt (* (pow y 3) (- (+ (* -1 (/ (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))) x)) (+ (/ 1/2 (* x y)) (/ 1/2 (* (pow x 2) y)))) (/ 1 (* x (pow y 2)))))> |
#<alt (* (pow y 3) (- (+ (* -1 (/ (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))) x)) (+ (/ 1/2 (* x y)) (+ (/ 1/2 (* (pow x 2) y)) (/ 1 (* x (pow y 3)))))) (/ 1 (* x (pow y 2)))))> |
#<alt (/ (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 3))> |
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))) y)) (* -1 (/ (- (* x (- (* -1/6 x) 1/2)) 1/3) (pow x 3))))))> |
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (- (* x (- (* -1/6 x) 1/2)) 1/3) (pow x 3))) (* -1 (/ (- (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))) (/ 1 (* x y))) y)))))> |
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) y)) (* -1 (/ (- (* x (- (* -1/6 x) 1/2)) 1/3) (pow x 3))))))> |
#<alt (* -1/3 (/ (pow y 3) (pow x 3)))> |
#<alt (/ (+ (* -1/3 (pow y 3)) (* x (* (pow y 2) (+ 1/2 (* -1/2 y))))) (pow x 3))> |
#<alt (/ (+ (* -1/3 (pow y 3)) (* x (+ (* x (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))) (* (pow y 2) (+ 1/2 (* -1/2 y)))))) (pow x 3))> |
#<alt (/ (+ (* -1/3 (pow y 3)) (* x (+ (* x (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))) (* (pow y 2) (+ 1/2 (* -1/2 y)))))) (pow x 3))> |
#<alt (/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)> |
#<alt (/ (+ 1 (+ (* y (- (* y (+ 1/2 (* -1/6 y))) 1)) (/ (* (pow y 2) (+ 1/2 (* -1/2 y))) x))) x)> |
#<alt (/ (+ 1 (+ (* -1/3 (/ (pow y 3) (pow x 2))) (+ (* y (- (* y (+ 1/2 (* -1/6 y))) 1)) (/ (* (pow y 2) (+ 1/2 (* -1/2 y))) x)))) x)> |
#<alt (/ (+ 1 (+ (* -1/3 (/ (pow y 3) (pow x 2))) (+ (* y (- (* y (+ 1/2 (* -1/6 y))) 1)) (/ (* (pow y 2) (+ 1/2 (* -1/2 y))) x)))) x)> |
#<alt (/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)> |
#<alt (* -1 (/ (+ (* -1 (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))) (* -1 (/ (* (pow y 2) (+ 1/2 (* -1/2 y))) x))) x))> |
#<alt (* -1 (/ (+ (* -1 (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))) (* -1 (/ (+ (* -1/3 (/ (pow y 3) x)) (* (pow y 2) (+ 1/2 (* -1/2 y)))) x))) x))> |
#<alt (* -1 (/ (+ (* -1 (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))) (* -1 (/ (+ (* -1/3 (/ (pow y 3) x)) (* (pow y 2) (+ 1/2 (* -1/2 y)))) x))) x))> |
#<alt 1> |
#<alt (+ 1 (* -1 y))> |
#<alt (+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1)))> |
#<alt (+ 1 (* y (- (* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) 1)))> |
#<alt (* -1 (* (pow y 3) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))> |
#<alt (* (pow y 3) (- (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))> |
#<alt (* (pow y 3) (- (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (+ (* 1/2 (/ 1 x)) (/ 1 (pow y 2)))))))> |
#<alt (* (pow y 3) (- (+ (/ 1/2 (* x y)) (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 3)))) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (+ (* 1/2 (/ 1 x)) (/ 1 (pow y 2)))))))> |
#<alt (/ (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2))> |
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) y)) (* -1 (/ (- (* x (- (* -1/6 x) 1/2)) 1/3) (pow x 2))))))> |
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (- (* x (- (* -1/6 x) 1/2)) 1/3) (pow x 2))) (* -1 (/ (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y)) y)))))> |
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x)))) y)) (* -1 (/ (- (* x (- (* -1/6 x) 1/2)) 1/3) (pow x 2))))))> |
#<alt (* -1/3 (/ (pow y 3) (pow x 2)))> |
#<alt (/ (+ (* -1/3 (pow y 3)) (* x (* (pow y 2) (+ 1/2 (* -1/2 y))))) (pow x 2))> |
#<alt (/ (+ (* -1/3 (pow y 3)) (* x (+ (* x (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))) (* (pow y 2) (+ 1/2 (* -1/2 y)))))) (pow x 2))> |
#<alt (/ (+ (* -1/3 (pow y 3)) (* x (+ (* x (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))) (* (pow y 2) (+ 1/2 (* -1/2 y)))))) (pow x 2))> |
#<alt (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))> |
#<alt (+ 1 (+ (* y (- (* y (+ 1/2 (* -1/6 y))) 1)) (/ (* (pow y 2) (+ 1/2 (* -1/2 y))) x)))> |
#<alt (+ 1 (+ (* -1/3 (/ (pow y 3) (pow x 2))) (+ (* y (- (* y (+ 1/2 (* -1/6 y))) 1)) (/ (* (pow y 2) (+ 1/2 (* -1/2 y))) x))))> |
#<alt (+ 1 (+ (* -1/3 (/ (pow y 3) (pow x 2))) (+ (* y (- (* y (+ 1/2 (* -1/6 y))) 1)) (/ (* (pow y 2) (+ 1/2 (* -1/2 y))) x))))> |
#<alt (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))> |
#<alt (+ 1 (+ (* y (- (* y (+ 1/2 (* -1/6 y))) 1)) (/ (* (pow y 2) (+ 1/2 (* -1/2 y))) x)))> |
#<alt (+ 1 (+ (* -1 (/ (+ (* -1 (* (pow y 2) (+ 1/2 (* -1/2 y)))) (* 1/3 (/ (pow y 3) x))) x)) (* y (- (* y (+ 1/2 (* -1/6 y))) 1))))> |
#<alt (+ 1 (+ (* -1 (/ (+ (* -1 (* (pow y 2) (+ 1/2 (* -1/2 y)))) (* 1/3 (/ (pow y 3) x))) x)) (* y (- (* y (+ 1/2 (* -1/6 y))) 1))))> |
#<alt (* -1/3 (/ (pow y 2) (pow x 2)))> |
#<alt (/ (+ (* -1/3 (pow y 2)) (* x (* y (+ 1/2 (* -1/2 y))))) (pow x 2))> |
#<alt (/ (+ (* -1/3 (pow y 2)) (* x (+ (* x (- (* y (+ 1/2 (* -1/6 y))) 1)) (* y (+ 1/2 (* -1/2 y)))))) (pow x 2))> |
#<alt (/ (+ (* -1/3 (pow y 2)) (* x (+ (* x (- (* y (+ 1/2 (* -1/6 y))) 1)) (* y (+ 1/2 (* -1/2 y)))))) (pow x 2))> |
#<alt (- (* y (+ 1/2 (* -1/6 y))) 1)> |
#<alt (- (+ (* y (+ 1/2 (* -1/6 y))) (/ (* y (+ 1/2 (* -1/2 y))) x)) 1)> |
#<alt (- (+ (* -1/3 (/ (pow y 2) (pow x 2))) (+ (* y (+ 1/2 (* -1/6 y))) (/ (* y (+ 1/2 (* -1/2 y))) x))) 1)> |
#<alt (- (+ (* -1/3 (/ (pow y 2) (pow x 2))) (+ (* y (+ 1/2 (* -1/6 y))) (/ (* y (+ 1/2 (* -1/2 y))) x))) 1)> |
#<alt (- (* y (+ 1/2 (* -1/6 y))) 1)> |
#<alt (- (+ (* y (+ 1/2 (* -1/6 y))) (/ (* y (+ 1/2 (* -1/2 y))) x)) 1)> |
#<alt (- (+ (* -1 (/ (+ (* -1 (* y (+ 1/2 (* -1/2 y)))) (* 1/3 (/ (pow y 2) x))) x)) (* y (+ 1/2 (* -1/6 y)))) 1)> |
#<alt (- (+ (* -1 (/ (+ (* -1 (* y (+ 1/2 (* -1/2 y)))) (* 1/3 (/ (pow y 2) x))) x)) (* y (+ 1/2 (* -1/6 y)))) 1)> |
#<alt -1> |
#<alt (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1)> |
#<alt (- (* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) 1)> |
#<alt (- (* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) 1)> |
#<alt (/ (* (pow y 2) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2))> |
#<alt (* (pow y 2) (- (+ (/ 1/2 (* x y)) (+ (* 1/2 (/ 1 y)) (/ (- (* -1/6 x) 1/2) x))) (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow y 2) (- (+ (/ 1/2 (* x y)) (+ (* 1/2 (/ 1 y)) (/ (- (* -1/6 x) 1/2) x))) (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow y 2)))))> |
#<alt (* (pow y 2) (- (+ (/ 1/2 (* x y)) (+ (* 1/2 (/ 1 y)) (/ (- (* -1/6 x) 1/2) x))) (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow y 2)))))> |
#<alt (/ (* (pow y 2) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2))> |
#<alt (* (pow y 2) (- (+ (/ 1/2 (* x y)) (+ (* 1/2 (/ 1 y)) (/ (- (* -1/6 x) 1/2) x))) (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow y 2) (- (+ (* -1 (/ (- (/ 1 y) (+ 1/2 (* 1/2 (/ 1 x)))) y)) (/ (- (* -1/6 x) 1/2) x)) (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow y 2) (- (+ (* -1 (/ (- (/ 1 y) (+ 1/2 (* 1/2 (/ 1 x)))) y)) (/ (- (* -1/6 x) 1/2) x)) (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* -1/3 y)> |
#<alt (* -1/3 y)> |
#<alt (* -1/3 y)> |
#<alt (* -1/3 y)> |
#<alt (* -1/3 y)> |
#<alt (* -1/3 y)> |
#<alt (* -1/3 y)> |
#<alt (* -1/3 y)> |
#<alt (* -1/3 y)> |
#<alt (* -1/3 y)> |
#<alt (* -1/3 y)> |
#<alt (* -1/3 y)> |
90 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | y | @ | -inf | (+ (* x (+ (* y (+ (* y 1/2) -1)) 1)) (* 1/2 (* y y))) |
| 1.0ms | x | @ | -inf | (/ (+ (* y (/ (+ (* x (+ (* x (+ (* y (+ (* y -1/6) 1/2)) -1)) (* y (+ (* y -1/2) 1/2)))) (* y (* y -1/3))) (* x x))) 1) x) |
| 1.0ms | x | @ | inf | (/ (+ (* y (/ (+ (* x (+ (* x (+ (* y (+ (* y -1/6) 1/2)) -1)) (* y (+ (* y -1/2) 1/2)))) (* y (* y -1/3))) (* x x))) 1) x) |
| 1.0ms | x | @ | 0 | (/ (/ (* 1/2 (* y y)) x) x) |
| 1.0ms | x | @ | 0 | (+ (* x (+ (* y (+ (* y -1/6) 1/2)) -1)) (* y (+ (* y -1/2) 1/2))) |
| 1× | batch-egg-rewrite |
| 5 666× | lower-fma.f32 |
| 5 648× | lower-fma.f64 |
| 4 948× | lower-*.f32 |
| 4 934× | lower-*.f64 |
| 4 432× | lower-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 203 |
| 0 | 69 | 203 |
| 1 | 308 | 202 |
| 2 | 2526 | 200 |
| 0 | 9159 | 200 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 y) x)) |
(*.f64 (exp.f64 y) x) |
(exp.f64 y) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(-.f64 #s(literal 1 binary64) y) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) x) x) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) x) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y y)) |
(*.f64 y y) |
(fma.f64 x (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 y y))) |
(/.f64 (/.f64 (fma.f64 x (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 y y))) x) x) |
(/.f64 (fma.f64 x (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 y y))) x) |
(fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(/.f64 (fma.f64 y (/.f64 (fma.f64 x (fma.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 y (*.f64 y #s(literal -1/3 binary64)))) (*.f64 x x)) #s(literal 1 binary64)) x) |
(fma.f64 y (/.f64 (fma.f64 x (fma.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 y (*.f64 y #s(literal -1/3 binary64)))) (*.f64 x x)) #s(literal 1 binary64)) |
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 y (*.f64 y #s(literal -1/3 binary64)))) (*.f64 x x)) |
(*.f64 y #s(literal -1/3 binary64)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (*.f64 (exp.f64 y) x)) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (exp.f64 y) x))) |
(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 y) x)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (exp.f64 y) (neg.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (exp.f64 (neg.f64 y)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (exp.f64 y) (neg.f64 x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (*.f64 (exp.f64 y) (neg.f64 x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (exp.f64 (neg.f64 y))))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (exp.f64 y)) |
(/.f64 (exp.f64 (neg.f64 y)) x) |
(/.f64 (neg.f64 (exp.f64 (neg.f64 y))) (neg.f64 x)) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (exp.f64 y))) |
(/.f64 (neg.f64 (neg.f64 (exp.f64 (neg.f64 y)))) (neg.f64 (neg.f64 x))) |
(pow.f64 (*.f64 (exp.f64 y) x) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 (*.f64 (exp.f64 y) (neg.f64 x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x (exp.f64 (neg.f64 y))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (*.f64 (exp.f64 y) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 (exp.f64 y) x) (*.f64 (exp.f64 y) x)) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (*.f64 (exp.f64 y) x))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (neg.f64 y)) x)) |
(*.f64 (/.f64 (exp.f64 (neg.f64 y)) x) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (exp.f64 y) x))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (exp.f64 (neg.f64 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 1 binary64))) |
(*.f64 (exp.f64 (neg.f64 y)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (pow.f64 (*.f64 (exp.f64 y) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (exp.f64 y) x) #s(literal -1/2 binary64))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (*.f64 (exp.f64 y) x)) #s(literal -1 binary64)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (exp.f64 y) x) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (neg.f64 y)) x)) |
(/.f64 (*.f64 (exp.f64 y) x) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (exp.f64 (neg.f64 y)) x))) |
(/.f64 (*.f64 (exp.f64 y) (neg.f64 x)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (exp.f64 y) (neg.f64 x))) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (exp.f64 y) x) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (exp.f64 (neg.f64 y)) x) #s(literal -1 binary64)) |
(*.f64 (exp.f64 y) x) |
(*.f64 (exp.f64 y) (/.f64 x #s(literal 1 binary64))) |
(*.f64 x (exp.f64 y)) |
(*.f64 x (/.f64 (exp.f64 y) #s(literal 1 binary64))) |
(*.f64 (*.f64 (exp.f64 y) x) #s(literal 1 binary64)) |
(exp.f64 y) |
(pow.f64 (exp.f64 y) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 #s(literal 1 binary64)) y) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 y x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 y y y))) x) (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (+.f64 #s(literal 1 binary64) (fma.f64 y y y))) x)) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) x) (/.f64 (/.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) y)) x)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (-.f64 #s(literal 1 binary64) y) (neg.f64 x))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 y y y)))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 y y y))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) y))) (/.f64 (*.f64 y y) (*.f64 x (+.f64 #s(literal 1 binary64) y)))) |
(-.f64 (/.f64 x (*.f64 x x)) (/.f64 (*.f64 x y) (*.f64 x x))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 y (*.f64 x x))))) (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 y (*.f64 x x)))))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (+.f64 x (*.f64 x y)) (*.f64 x x))) (/.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 (+.f64 x (*.f64 x y)) (*.f64 x x)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 y x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (neg.f64 (/.f64 y x))) |
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (neg.f64 x))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) y)) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y))))) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) y)) (neg.f64 x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 y y y)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x (+.f64 #s(literal 1 binary64) y))) |
(/.f64 (-.f64 x (*.f64 x y)) (*.f64 x x)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 y y y)) x)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) y) x)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) y))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 y y y))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y))) (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)))) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 y (*.f64 x x))))) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (*.f64 y y) (*.f64 x x))) (/.f64 (+.f64 x (*.f64 x y)) (*.f64 x x))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (fma.f64 y y y))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) y)) |
(/.f64 (-.f64 #s(literal -1 binary64) (neg.f64 y)) (neg.f64 x)) |
(/.f64 (-.f64 (/.f64 x y) x) (*.f64 x (/.f64 x y))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 x (neg.f64 y))) (*.f64 x (neg.f64 x))) |
(/.f64 (-.f64 (/.f64 x y) (*.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x y))) |
(/.f64 (-.f64 x (*.f64 (/.f64 x #s(literal 1 binary64)) y)) (*.f64 (/.f64 x #s(literal 1 binary64)) x)) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 (/.f64 x #s(literal 1 binary64)) (neg.f64 y))) (*.f64 (/.f64 x #s(literal 1 binary64)) (neg.f64 x))) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 (neg.f64 x) (/.f64 x y))) |
(/.f64 (-.f64 (neg.f64 x) (*.f64 (neg.f64 x) y)) (*.f64 x (neg.f64 x))) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)) (*.f64 (neg.f64 x) (neg.f64 y))) (*.f64 x x)) |
(/.f64 (neg.f64 (-.f64 x (*.f64 x y))) (*.f64 x (neg.f64 x))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 y y y)) x))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) x))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) y)))) (neg.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 y (*.f64 x x)))))) |
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (*.f64 y y) (*.f64 x x)))) (neg.f64 (/.f64 (+.f64 x (*.f64 x y)) (*.f64 x x)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (neg.f64 x)) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) x))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 y y y)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) x))) (neg.f64 (+.f64 #s(literal 1 binary64) y))) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (pow.f64 (neg.f64 (/.f64 y x)) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (*.f64 (neg.f64 (/.f64 y x)) (neg.f64 (/.f64 y x))) (*.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 y x)))))) |
(pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal 1 binary64)) |
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (neg.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 y y y)))) |
(*.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 y y y))) x)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) x) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 y y y))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) x)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) x) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) (neg.f64 y)) |
(+.f64 (neg.f64 y) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) y) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 y y y))) (/.f64 (*.f64 y (*.f64 y y)) (+.f64 #s(literal 1 binary64) (fma.f64 y y y)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) y))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 y))) (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) (neg.f64 y)))) |
(fma.f64 y #s(literal -1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 y y y)) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (*.f64 y y)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 y y y)) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (*.f64 y y))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 1 binary64) (fma.f64 y y y))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y y) (*.f64 #s(literal 1 binary64) (neg.f64 y))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 #s(literal 1 binary64) y)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (neg.f64 y))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 y y y)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y y) (*.f64 #s(literal 1 binary64) (neg.f64 y)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y))) (neg.f64 (+.f64 #s(literal 1 binary64) y))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y))) (neg.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 y y y))) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 y y y)) (*.f64 y (*.f64 y y)))) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 y y y)) (+.f64 #s(literal 1 binary64) (fma.f64 y y y)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 y y))) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 y y y))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) y)))) |
(/.f64 (fma.f64 (*.f64 y y) (neg.f64 y) #s(literal 1 binary64)) (fma.f64 y y (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) #s(literal 1 binary64))))) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 y y y)) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal -1 binary64)) |
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(pow.f64 (/.f64 (*.f64 x x) (fma.f64 y (*.f64 y #s(literal -1/3 binary64)) (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 x x) (fma.f64 y (*.f64 y #s(literal -1/3 binary64)) (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x (/.f64 (fma.f64 y (*.f64 y #s(literal -1/3 binary64)) (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))) x)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y #s(literal -1/3 binary64)) (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))) (*.f64 x x))) |
(*.f64 (fma.f64 y (*.f64 y #s(literal -1/3 binary64)) (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 (/.f64 (fma.f64 y (*.f64 y #s(literal -1/3 binary64)) (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))) (*.f64 x x)) (/.f64 (-.f64 (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (*.f64 y (*.f64 y #s(literal -1/3 binary64)))) (-.f64 (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (*.f64 y (*.f64 y #s(literal -1/3 binary64)))))) |
(*.f64 (neg.f64 (fma.f64 y (*.f64 y #s(literal -1/3 binary64)) (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))) (/.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 y (*.f64 y #s(literal -1/3 binary64)) (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 y (*.f64 y #s(literal -1/3 binary64)) (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/3 binary64)) (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 y (*.f64 y #s(literal -1/3 binary64)) (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))) x) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (fma.f64 y (*.f64 y #s(literal -1/3 binary64)) (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))) x) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (*.f64 (*.f64 x x) (*.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal -1/27 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 y #s(literal -1/3 binary64))) (-.f64 (*.f64 y (*.f64 y #s(literal -1/3 binary64))) (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))) (*.f64 (*.f64 x x) (*.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))))) |
(*.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (*.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/9 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (*.f64 y (*.f64 y #s(literal -1/3 binary64)))))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (fma.f64 y (*.f64 y #s(literal -1/3 binary64)) (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))) (neg.f64 x))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (*.f64 (*.f64 x x) (*.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal -1/27 binary64))) x) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 y #s(literal -1/3 binary64))) (-.f64 (*.f64 y (*.f64 y #s(literal -1/3 binary64))) (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))) (*.f64 (*.f64 x x) (*.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))))) x)) |
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/9 binary64))) x) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (*.f64 y (*.f64 y #s(literal -1/3 binary64))))) x)) |
(*.f64 (/.f64 (fma.f64 (*.f64 y (*.f64 y #s(literal -1/3 binary64))) (-.f64 (*.f64 y (*.f64 y #s(literal -1/3 binary64))) (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))) (*.f64 (*.f64 x x) (*.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))) (*.f64 x x)) (/.f64 (fma.f64 y (*.f64 y #s(literal -1/3 binary64)) (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))) (fma.f64 (*.f64 y (*.f64 y #s(literal -1/3 binary64))) (-.f64 (*.f64 y (*.f64 y #s(literal -1/3 binary64))) (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))) (*.f64 (*.f64 x x) (*.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))))) |
(*.f64 (/.f64 (fma.f64 y (*.f64 y #s(literal -1/3 binary64)) (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 y #s(literal -1/3 binary64)) |
(*.f64 #s(literal -1/3 binary64) y) |
| 1× | egg-herbie |
| 17 322× | lower-fma.f64 |
| 17 322× | lower-fma.f32 |
| 6 092× | lower-+.f64 |
| 6 092× | lower-+.f32 |
| 5 398× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 392 | 4520 |
| 1 | 1236 | 4388 |
| 2 | 4274 | 4238 |
| 0 | 8644 | 3897 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 x) |
(+ (* -1 (/ y x)) (/ 1 x)) |
(+ (* y (- (* 1/2 (/ y x)) (/ 1 x))) (/ 1 x)) |
(+ (* y (- (* y (+ (* -1/6 (/ y x)) (* 1/2 (/ 1 x)))) (/ 1 x))) (/ 1 x)) |
(/ 1 (* x (exp y))) |
(/ 1 (* x (exp y))) |
(/ 1 (* x (exp y))) |
(/ 1 (* x (exp y))) |
(/ 1 (* x (exp y))) |
(/ 1 (* x (exp y))) |
(/ 1 (* x (exp y))) |
(/ 1 (* x (exp y))) |
(/ 1 (* x (exp y))) |
(/ 1 (* x (exp y))) |
(/ 1 (* x (exp y))) |
(/ 1 (* x (exp y))) |
(/ 1 (* x (exp y))) |
(/ 1 (* x (exp y))) |
(/ 1 (* x (exp y))) |
(/ 1 (* x (exp y))) |
(/ 1 (* x (exp y))) |
(/ 1 (* x (exp y))) |
(/ 1 (* x (exp y))) |
(/ 1 (* x (exp y))) |
x |
(+ x (* x y)) |
(+ x (* y (+ x (* 1/2 (* x y))))) |
(+ x (* y (+ x (* y (+ (* 1/6 (* x y)) (* 1/2 x)))))) |
(* x (exp y)) |
(* x (exp y)) |
(* x (exp y)) |
(* x (exp y)) |
(* x (exp y)) |
(* x (exp y)) |
(* x (exp y)) |
(* x (exp y)) |
(* x (exp y)) |
(* x (exp y)) |
(* x (exp y)) |
(* x (exp y)) |
(* x (exp y)) |
(* x (exp y)) |
(* x (exp y)) |
(* x (exp y)) |
(* x (exp y)) |
(* x (exp y)) |
(* x (exp y)) |
(* x (exp y)) |
1 |
(+ 1 y) |
(+ 1 (* y (+ 1 (* 1/2 y)))) |
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y)))))) |
(exp y) |
(exp y) |
(exp y) |
(exp y) |
(exp y) |
(exp y) |
(exp y) |
(exp y) |
(/ 1 x) |
(+ (* -1 (/ y x)) (/ 1 x)) |
(+ (* -1 (/ y x)) (/ 1 x)) |
(+ (* -1 (/ y x)) (/ 1 x)) |
(* -1 (/ y x)) |
(* y (- (/ 1 (* x y)) (/ 1 x))) |
(* y (- (/ 1 (* x y)) (/ 1 x))) |
(* y (- (/ 1 (* x y)) (/ 1 x))) |
(* -1 (/ y x)) |
(* -1 (* y (- (/ 1 x) (/ 1 (* x y))))) |
(* -1 (* y (- (/ 1 x) (/ 1 (* x y))))) |
(* -1 (* y (- (/ 1 x) (/ 1 (* x y))))) |
(/ (- 1 y) x) |
(/ (- 1 y) x) |
(/ (- 1 y) x) |
(/ (- 1 y) x) |
(/ (- 1 y) x) |
(/ (- 1 y) x) |
(/ (- 1 y) x) |
(/ (- 1 y) x) |
(/ (- 1 y) x) |
(/ (- 1 y) x) |
(/ (- 1 y) x) |
(/ (- 1 y) x) |
1 |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(* -1 y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* 1/2 (/ (pow y 2) (pow x 2))) |
(* 1/2 (/ (pow y 2) (pow x 2))) |
(* 1/2 (/ (pow y 2) (pow x 2))) |
(* 1/2 (/ (pow y 2) (pow x 2))) |
(* 1/2 (/ (pow y 2) (pow x 2))) |
(* 1/2 (/ (pow y 2) (pow x 2))) |
(* 1/2 (/ (pow y 2) (pow x 2))) |
(* 1/2 (/ (pow y 2) (pow x 2))) |
(* 1/2 (/ (pow y 2) (pow x 2))) |
(* 1/2 (/ (pow y 2) (pow x 2))) |
(* 1/2 (/ (pow y 2) (pow x 2))) |
(* 1/2 (/ (pow y 2) (pow x 2))) |
(* 1/2 (/ (pow y 2) (pow x 2))) |
(* 1/2 (/ (pow y 2) (pow x 2))) |
(* 1/2 (/ (pow y 2) (pow x 2))) |
(* 1/2 (/ (pow y 2) (pow x 2))) |
(* 1/2 (/ (pow y 2) (pow x 2))) |
(* 1/2 (/ (pow y 2) (pow x 2))) |
(* 1/2 (/ (pow y 2) (pow x 2))) |
(* 1/2 (/ (pow y 2) (pow x 2))) |
(* 1/2 (/ (pow y 2) (pow x 2))) |
(* 1/2 (/ (pow y 2) (pow x 2))) |
(* 1/2 (/ (pow y 2) (pow x 2))) |
(* 1/2 (/ (pow y 2) (pow x 2))) |
(* 1/2 (/ (pow y 2) x)) |
(* 1/2 (/ (pow y 2) x)) |
(* 1/2 (/ (pow y 2) x)) |
(* 1/2 (/ (pow y 2) x)) |
(* 1/2 (/ (pow y 2) x)) |
(* 1/2 (/ (pow y 2) x)) |
(* 1/2 (/ (pow y 2) x)) |
(* 1/2 (/ (pow y 2) x)) |
(* 1/2 (/ (pow y 2) x)) |
(* 1/2 (/ (pow y 2) x)) |
(* 1/2 (/ (pow y 2) x)) |
(* 1/2 (/ (pow y 2) x)) |
(* 1/2 (/ (pow y 2) x)) |
(* 1/2 (/ (pow y 2) x)) |
(* 1/2 (/ (pow y 2) x)) |
(* 1/2 (/ (pow y 2) x)) |
(* 1/2 (/ (pow y 2) x)) |
(* 1/2 (/ (pow y 2) x)) |
(* 1/2 (/ (pow y 2) x)) |
(* 1/2 (/ (pow y 2) x)) |
(* 1/2 (/ (pow y 2) x)) |
(* 1/2 (/ (pow y 2) x)) |
(* 1/2 (/ (pow y 2) x)) |
(* 1/2 (/ (pow y 2) x)) |
(* 1/2 (pow y 2)) |
(* 1/2 (pow y 2)) |
(* 1/2 (pow y 2)) |
(* 1/2 (pow y 2)) |
(* 1/2 (pow y 2)) |
(* 1/2 (pow y 2)) |
(* 1/2 (pow y 2)) |
(* 1/2 (pow y 2)) |
(* 1/2 (pow y 2)) |
(* 1/2 (pow y 2)) |
(* 1/2 (pow y 2)) |
(* 1/2 (pow y 2)) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(* 1/2 (pow y 2)) |
(+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) |
(+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) |
(+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) |
(* x (+ 1 (* y (- (* 1/2 y) 1)))) |
(* x (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))))) |
(* x (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))))) |
(* x (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))))) |
(* x (+ 1 (* y (- (* 1/2 y) 1)))) |
(* -1 (* x (+ (* -1 (+ 1 (* y (- (* 1/2 y) 1)))) (* -1/2 (/ (pow y 2) x))))) |
(* -1 (* x (+ (* -1 (+ 1 (* y (- (* 1/2 y) 1)))) (* -1/2 (/ (pow y 2) x))))) |
(* -1 (* x (+ (* -1 (+ 1 (* y (- (* 1/2 y) 1)))) (* -1/2 (/ (pow y 2) x))))) |
x |
(+ x (* -1 (* x y))) |
(+ x (* y (+ (* -1 x) (* y (+ 1/2 (* 1/2 x)))))) |
(+ x (* y (+ (* -1 x) (* y (+ 1/2 (* 1/2 x)))))) |
(* (pow y 2) (+ 1/2 (* 1/2 x))) |
(* (pow y 2) (+ 1/2 (+ (* -1 (/ x y)) (* 1/2 x)))) |
(* (pow y 2) (+ 1/2 (+ (* -1 (/ x y)) (+ (* 1/2 x) (/ x (pow y 2)))))) |
(* (pow y 2) (+ 1/2 (+ (* -1 (/ x y)) (+ (* 1/2 x) (/ x (pow y 2)))))) |
(* (pow y 2) (+ 1/2 (* 1/2 x))) |
(* (pow y 2) (+ 1/2 (+ (* -1 (/ x y)) (* 1/2 x)))) |
(* (pow y 2) (+ 1/2 (+ (* -1 (/ (+ x (* -1 (/ x y))) y)) (* 1/2 x)))) |
(* (pow y 2) (+ 1/2 (+ (* -1 (/ (+ x (* -1 (/ x y))) y)) (* 1/2 x)))) |
(* 1/2 (/ (pow y 2) (pow x 2))) |
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) (pow x 2)) |
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) (pow x 2)) |
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) (pow x 2)) |
(/ (+ 1 (* y (- (* 1/2 y) 1))) x) |
(/ (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) x) |
(/ (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) x) |
(/ (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) x) |
(/ (+ 1 (* y (- (* 1/2 y) 1))) x) |
(* -1 (/ (+ (* -1 (+ 1 (* y (- (* 1/2 y) 1)))) (* -1/2 (/ (pow y 2) x))) x)) |
(* -1 (/ (+ (* -1 (+ 1 (* y (- (* 1/2 y) 1)))) (* -1/2 (/ (pow y 2) x))) x)) |
(* -1 (/ (+ (* -1 (+ 1 (* y (- (* 1/2 y) 1)))) (* -1/2 (/ (pow y 2) x))) x)) |
(/ 1 x) |
(+ (* -1 (/ y x)) (/ 1 x)) |
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x)) |
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x)) |
(/ (* (pow y 2) (+ 1/2 (* 1/2 x))) (pow x 2)) |
(* (pow y 2) (- (+ (/ 1/2 x) (* 1/2 (/ 1 (pow x 2)))) (/ 1 (* x y)))) |
(* (pow y 2) (- (+ (/ 1/2 x) (+ (/ 1 (* x (pow y 2))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 (* x y)))) |
(* (pow y 2) (- (+ (/ 1/2 x) (+ (/ 1 (* x (pow y 2))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 (* x y)))) |
(/ (* (pow y 2) (+ 1/2 (* 1/2 x))) (pow x 2)) |
(* (pow y 2) (- (+ (/ 1/2 x) (* 1/2 (/ 1 (pow x 2)))) (/ 1 (* x y)))) |
(* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (+ (/ 1/2 x) (* 1/2 (/ 1 (pow x 2)))))) |
(* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (+ (/ 1/2 x) (* 1/2 (/ 1 (pow x 2)))))) |
(* 1/2 (/ (pow y 2) x)) |
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) x) |
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) x) |
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) x) |
(+ 1 (* y (- (* 1/2 y) 1))) |
(+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) |
(+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) |
(+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) |
(+ 1 (* y (- (* 1/2 y) 1))) |
(+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) |
(+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) |
(+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) |
1 |
(+ 1 (* -1 y)) |
(+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1))) |
(+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1))) |
(/ (* (pow y 2) (+ 1/2 (* 1/2 x))) x) |
(* (pow y 2) (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y))) |
(* (pow y 2) (- (+ 1/2 (+ (* 1/2 (/ 1 x)) (/ 1 (pow y 2)))) (/ 1 y))) |
(* (pow y 2) (- (+ 1/2 (+ (* 1/2 (/ 1 x)) (/ 1 (pow y 2)))) (/ 1 y))) |
(/ (* (pow y 2) (+ 1/2 (* 1/2 x))) x) |
(* (pow y 2) (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y))) |
(* (pow y 2) (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x))))) |
(* (pow y 2) (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x))))) |
1 |
(+ 1 (* -1 y)) |
(+ 1 (* y (- (* 1/2 y) 1))) |
(+ 1 (* y (- (* 1/2 y) 1))) |
(* 1/2 (pow y 2)) |
(* (pow y 2) (- 1/2 (/ 1 y))) |
(* (pow y 2) (- (+ 1/2 (/ 1 (pow y 2))) (/ 1 y))) |
(* (pow y 2) (- (+ 1/2 (/ 1 (pow y 2))) (/ 1 y))) |
(* 1/2 (pow y 2)) |
(* (pow y 2) (- 1/2 (/ 1 y))) |
(* (pow y 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 y)) y)))) |
(* (pow y 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 y)) y)))) |
(* y (+ 1/2 (* -1/2 y))) |
(+ (* x (- (* y (+ 1/2 (* -1/6 y))) 1)) (* y (+ 1/2 (* -1/2 y)))) |
(+ (* x (- (* y (+ 1/2 (* -1/6 y))) 1)) (* y (+ 1/2 (* -1/2 y)))) |
(+ (* x (- (* y (+ 1/2 (* -1/6 y))) 1)) (* y (+ 1/2 (* -1/2 y)))) |
(* x (- (* y (+ 1/2 (* -1/6 y))) 1)) |
(* x (- (+ (* y (+ 1/2 (* -1/6 y))) (/ (* y (+ 1/2 (* -1/2 y))) x)) 1)) |
(* x (- (+ (* y (+ 1/2 (* -1/6 y))) (/ (* y (+ 1/2 (* -1/2 y))) x)) 1)) |
(* x (- (+ (* y (+ 1/2 (* -1/6 y))) (/ (* y (+ 1/2 (* -1/2 y))) x)) 1)) |
(* x (- (* y (+ 1/2 (* -1/6 y))) 1)) |
(* -1 (* x (+ (* -1 (- (* y (+ 1/2 (* -1/6 y))) 1)) (* -1 (/ (* y (+ 1/2 (* -1/2 y))) x))))) |
(* -1 (* x (+ (* -1 (- (* y (+ 1/2 (* -1/6 y))) 1)) (* -1 (/ (* y (+ 1/2 (* -1/2 y))) x))))) |
(* -1 (* x (+ (* -1 (- (* y (+ 1/2 (* -1/6 y))) 1)) (* -1 (/ (* y (+ 1/2 (* -1/2 y))) x))))) |
(* -1 x) |
(+ (* -1 x) (* y (+ 1/2 (* 1/2 x)))) |
(+ (* -1 x) (* y (+ 1/2 (+ (* 1/2 x) (* y (- (* -1/6 x) 1/2)))))) |
(+ (* -1 x) (* y (+ 1/2 (+ (* 1/2 x) (* y (- (* -1/6 x) 1/2)))))) |
(* (pow y 2) (- (* -1/6 x) 1/2)) |
(* (pow y 2) (- (+ (* -1/6 x) (+ (* 1/2 (/ x y)) (* 1/2 (/ 1 y)))) 1/2)) |
(* (pow y 2) (- (+ (* -1 (/ x (pow y 2))) (+ (* -1/6 x) (+ (* 1/2 (/ x y)) (* 1/2 (/ 1 y))))) 1/2)) |
(* (pow y 2) (- (+ (* -1 (/ x (pow y 2))) (+ (* -1/6 x) (+ (* 1/2 (/ x y)) (* 1/2 (/ 1 y))))) 1/2)) |
(* (pow y 2) (- (* -1/6 x) 1/2)) |
(* (pow y 2) (- (+ (* -1 (/ (- (* -1/2 x) 1/2) y)) (* -1/6 x)) 1/2)) |
(* (pow y 2) (- (+ (* -1 (/ (- (+ (* -1/2 x) (/ x y)) 1/2) y)) (* -1/6 x)) 1/2)) |
(* (pow y 2) (- (+ (* -1 (/ (- (+ (* -1/2 x) (/ x y)) 1/2) y)) (* -1/6 x)) 1/2)) |
(/ 1 x) |
(+ (* -1 (/ y x)) (/ 1 x)) |
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x)) |
(+ (* y (- (* y (+ (* -1 (/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) (/ 1 x))) (/ 1 x)) |
(* -1 (/ (* (pow y 3) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)) |
(* (pow y 3) (+ (* -1 (/ (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))) x)) (+ (/ 1/2 (* x y)) (/ 1/2 (* (pow x 2) y))))) |
(* (pow y 3) (- (+ (* -1 (/ (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))) x)) (+ (/ 1/2 (* x y)) (/ 1/2 (* (pow x 2) y)))) (/ 1 (* x (pow y 2))))) |
(* (pow y 3) (- (+ (* -1 (/ (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))) x)) (+ (/ 1/2 (* x y)) (+ (/ 1/2 (* (pow x 2) y)) (/ 1 (* x (pow y 3)))))) (/ 1 (* x (pow y 2))))) |
(/ (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 3)) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))) y)) (* -1 (/ (- (* x (- (* -1/6 x) 1/2)) 1/3) (pow x 3)))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (- (* x (- (* -1/6 x) 1/2)) 1/3) (pow x 3))) (* -1 (/ (- (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))) (/ 1 (* x y))) y))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) y)) (* -1 (/ (- (* x (- (* -1/6 x) 1/2)) 1/3) (pow x 3)))))) |
(* -1/3 (/ (pow y 3) (pow x 3))) |
(/ (+ (* -1/3 (pow y 3)) (* x (* (pow y 2) (+ 1/2 (* -1/2 y))))) (pow x 3)) |
(/ (+ (* -1/3 (pow y 3)) (* x (+ (* x (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))) (* (pow y 2) (+ 1/2 (* -1/2 y)))))) (pow x 3)) |
(/ (+ (* -1/3 (pow y 3)) (* x (+ (* x (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))) (* (pow y 2) (+ 1/2 (* -1/2 y)))))) (pow x 3)) |
(/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x) |
(/ (+ 1 (+ (* y (- (* y (+ 1/2 (* -1/6 y))) 1)) (/ (* (pow y 2) (+ 1/2 (* -1/2 y))) x))) x) |
(/ (+ 1 (+ (* -1/3 (/ (pow y 3) (pow x 2))) (+ (* y (- (* y (+ 1/2 (* -1/6 y))) 1)) (/ (* (pow y 2) (+ 1/2 (* -1/2 y))) x)))) x) |
(/ (+ 1 (+ (* -1/3 (/ (pow y 3) (pow x 2))) (+ (* y (- (* y (+ 1/2 (* -1/6 y))) 1)) (/ (* (pow y 2) (+ 1/2 (* -1/2 y))) x)))) x) |
(/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x) |
(* -1 (/ (+ (* -1 (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))) (* -1 (/ (* (pow y 2) (+ 1/2 (* -1/2 y))) x))) x)) |
(* -1 (/ (+ (* -1 (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))) (* -1 (/ (+ (* -1/3 (/ (pow y 3) x)) (* (pow y 2) (+ 1/2 (* -1/2 y)))) x))) x)) |
(* -1 (/ (+ (* -1 (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))) (* -1 (/ (+ (* -1/3 (/ (pow y 3) x)) (* (pow y 2) (+ 1/2 (* -1/2 y)))) x))) x)) |
1 |
(+ 1 (* -1 y)) |
(+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1))) |
(+ 1 (* y (- (* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) 1))) |
(* -1 (* (pow y 3) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) |
(* (pow y 3) (- (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) |
(* (pow y 3) (- (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (+ (* 1/2 (/ 1 x)) (/ 1 (pow y 2))))))) |
(* (pow y 3) (- (+ (/ 1/2 (* x y)) (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 3)))) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (+ (* 1/2 (/ 1 x)) (/ 1 (pow y 2))))))) |
(/ (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2)) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) y)) (* -1 (/ (- (* x (- (* -1/6 x) 1/2)) 1/3) (pow x 2)))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (- (* x (- (* -1/6 x) 1/2)) 1/3) (pow x 2))) (* -1 (/ (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y)) y))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x)))) y)) (* -1 (/ (- (* x (- (* -1/6 x) 1/2)) 1/3) (pow x 2)))))) |
(* -1/3 (/ (pow y 3) (pow x 2))) |
(/ (+ (* -1/3 (pow y 3)) (* x (* (pow y 2) (+ 1/2 (* -1/2 y))))) (pow x 2)) |
(/ (+ (* -1/3 (pow y 3)) (* x (+ (* x (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))) (* (pow y 2) (+ 1/2 (* -1/2 y)))))) (pow x 2)) |
(/ (+ (* -1/3 (pow y 3)) (* x (+ (* x (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))) (* (pow y 2) (+ 1/2 (* -1/2 y)))))) (pow x 2)) |
(+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) |
(+ 1 (+ (* y (- (* y (+ 1/2 (* -1/6 y))) 1)) (/ (* (pow y 2) (+ 1/2 (* -1/2 y))) x))) |
(+ 1 (+ (* -1/3 (/ (pow y 3) (pow x 2))) (+ (* y (- (* y (+ 1/2 (* -1/6 y))) 1)) (/ (* (pow y 2) (+ 1/2 (* -1/2 y))) x)))) |
(+ 1 (+ (* -1/3 (/ (pow y 3) (pow x 2))) (+ (* y (- (* y (+ 1/2 (* -1/6 y))) 1)) (/ (* (pow y 2) (+ 1/2 (* -1/2 y))) x)))) |
(+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) |
(+ 1 (+ (* y (- (* y (+ 1/2 (* -1/6 y))) 1)) (/ (* (pow y 2) (+ 1/2 (* -1/2 y))) x))) |
(+ 1 (+ (* -1 (/ (+ (* -1 (* (pow y 2) (+ 1/2 (* -1/2 y)))) (* 1/3 (/ (pow y 3) x))) x)) (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))) |
(+ 1 (+ (* -1 (/ (+ (* -1 (* (pow y 2) (+ 1/2 (* -1/2 y)))) (* 1/3 (/ (pow y 3) x))) x)) (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))) |
(* -1/3 (/ (pow y 2) (pow x 2))) |
(/ (+ (* -1/3 (pow y 2)) (* x (* y (+ 1/2 (* -1/2 y))))) (pow x 2)) |
(/ (+ (* -1/3 (pow y 2)) (* x (+ (* x (- (* y (+ 1/2 (* -1/6 y))) 1)) (* y (+ 1/2 (* -1/2 y)))))) (pow x 2)) |
(/ (+ (* -1/3 (pow y 2)) (* x (+ (* x (- (* y (+ 1/2 (* -1/6 y))) 1)) (* y (+ 1/2 (* -1/2 y)))))) (pow x 2)) |
(- (* y (+ 1/2 (* -1/6 y))) 1) |
(- (+ (* y (+ 1/2 (* -1/6 y))) (/ (* y (+ 1/2 (* -1/2 y))) x)) 1) |
(- (+ (* -1/3 (/ (pow y 2) (pow x 2))) (+ (* y (+ 1/2 (* -1/6 y))) (/ (* y (+ 1/2 (* -1/2 y))) x))) 1) |
(- (+ (* -1/3 (/ (pow y 2) (pow x 2))) (+ (* y (+ 1/2 (* -1/6 y))) (/ (* y (+ 1/2 (* -1/2 y))) x))) 1) |
(- (* y (+ 1/2 (* -1/6 y))) 1) |
(- (+ (* y (+ 1/2 (* -1/6 y))) (/ (* y (+ 1/2 (* -1/2 y))) x)) 1) |
(- (+ (* -1 (/ (+ (* -1 (* y (+ 1/2 (* -1/2 y)))) (* 1/3 (/ (pow y 2) x))) x)) (* y (+ 1/2 (* -1/6 y)))) 1) |
(- (+ (* -1 (/ (+ (* -1 (* y (+ 1/2 (* -1/2 y)))) (* 1/3 (/ (pow y 2) x))) x)) (* y (+ 1/2 (* -1/6 y)))) 1) |
-1 |
(- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1) |
(- (* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) 1) |
(- (* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) 1) |
(/ (* (pow y 2) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2)) |
(* (pow y 2) (- (+ (/ 1/2 (* x y)) (+ (* 1/2 (/ 1 y)) (/ (- (* -1/6 x) 1/2) x))) (* 1/3 (/ 1 (pow x 2))))) |
(* (pow y 2) (- (+ (/ 1/2 (* x y)) (+ (* 1/2 (/ 1 y)) (/ (- (* -1/6 x) 1/2) x))) (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow y 2))))) |
(* (pow y 2) (- (+ (/ 1/2 (* x y)) (+ (* 1/2 (/ 1 y)) (/ (- (* -1/6 x) 1/2) x))) (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow y 2))))) |
(/ (* (pow y 2) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2)) |
(* (pow y 2) (- (+ (/ 1/2 (* x y)) (+ (* 1/2 (/ 1 y)) (/ (- (* -1/6 x) 1/2) x))) (* 1/3 (/ 1 (pow x 2))))) |
(* (pow y 2) (- (+ (* -1 (/ (- (/ 1 y) (+ 1/2 (* 1/2 (/ 1 x)))) y)) (/ (- (* -1/6 x) 1/2) x)) (* 1/3 (/ 1 (pow x 2))))) |
(* (pow y 2) (- (+ (* -1 (/ (- (/ 1 y) (+ 1/2 (* 1/2 (/ 1 x)))) y)) (/ (- (* -1/6 x) 1/2) x)) (* 1/3 (/ 1 (pow x 2))))) |
(* -1/3 y) |
(* -1/3 y) |
(* -1/3 y) |
(* -1/3 y) |
(* -1/3 y) |
(* -1/3 y) |
(* -1/3 y) |
(* -1/3 y) |
(* -1/3 y) |
(* -1/3 y) |
(* -1/3 y) |
(* -1/3 y) |
| Outputs |
|---|
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(+ (* -1 (/ y x)) (/ 1 x)) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(+ (* y (- (* 1/2 (/ y x)) (/ 1 x))) (/ 1 x)) |
(fma.f64 y (/.f64 (*.f64 y #s(literal 1/2 binary64)) x) (/.f64 (-.f64 #s(literal 1 binary64) y) x)) |
(+ (* y (- (* y (+ (* -1/6 (/ y x)) (* 1/2 (/ 1 x)))) (/ 1 x))) (/ 1 x)) |
(fma.f64 y (*.f64 (/.f64 y x) (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) y) x)) |
(/ 1 (* x (exp y))) |
(/.f64 (exp.f64 (neg.f64 y)) x) |
(/ 1 (* x (exp y))) |
(/.f64 (exp.f64 (neg.f64 y)) x) |
(/ 1 (* x (exp y))) |
(/.f64 (exp.f64 (neg.f64 y)) x) |
(/ 1 (* x (exp y))) |
(/.f64 (exp.f64 (neg.f64 y)) x) |
(/ 1 (* x (exp y))) |
(/.f64 (exp.f64 (neg.f64 y)) x) |
(/ 1 (* x (exp y))) |
(/.f64 (exp.f64 (neg.f64 y)) x) |
(/ 1 (* x (exp y))) |
(/.f64 (exp.f64 (neg.f64 y)) x) |
(/ 1 (* x (exp y))) |
(/.f64 (exp.f64 (neg.f64 y)) x) |
(/ 1 (* x (exp y))) |
(/.f64 (exp.f64 (neg.f64 y)) x) |
(/ 1 (* x (exp y))) |
(/.f64 (exp.f64 (neg.f64 y)) x) |
(/ 1 (* x (exp y))) |
(/.f64 (exp.f64 (neg.f64 y)) x) |
(/ 1 (* x (exp y))) |
(/.f64 (exp.f64 (neg.f64 y)) x) |
(/ 1 (* x (exp y))) |
(/.f64 (exp.f64 (neg.f64 y)) x) |
(/ 1 (* x (exp y))) |
(/.f64 (exp.f64 (neg.f64 y)) x) |
(/ 1 (* x (exp y))) |
(/.f64 (exp.f64 (neg.f64 y)) x) |
(/ 1 (* x (exp y))) |
(/.f64 (exp.f64 (neg.f64 y)) x) |
(/ 1 (* x (exp y))) |
(/.f64 (exp.f64 (neg.f64 y)) x) |
(/ 1 (* x (exp y))) |
(/.f64 (exp.f64 (neg.f64 y)) x) |
(/ 1 (* x (exp y))) |
(/.f64 (exp.f64 (neg.f64 y)) x) |
(/ 1 (* x (exp y))) |
(/.f64 (exp.f64 (neg.f64 y)) x) |
x |
(+ x (* x y)) |
(fma.f64 x y x) |
(+ x (* y (+ x (* 1/2 (* x y))))) |
(fma.f64 x (fma.f64 y (*.f64 y #s(literal 1/2 binary64)) y) x) |
(+ x (* y (+ x (* y (+ (* 1/6 (* x y)) (* 1/2 x)))))) |
(fma.f64 y (fma.f64 (*.f64 x y) (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) x) |
(* x (exp y)) |
(*.f64 x (exp.f64 y)) |
(* x (exp y)) |
(*.f64 x (exp.f64 y)) |
(* x (exp y)) |
(*.f64 x (exp.f64 y)) |
(* x (exp y)) |
(*.f64 x (exp.f64 y)) |
(* x (exp y)) |
(*.f64 x (exp.f64 y)) |
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(fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) |
(- (* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) 1) |
(fma.f64 y (fma.f64 y (-.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)) |
(- (* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) 1) |
(fma.f64 y (fma.f64 y (-.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)) |
(/ (* (pow y 2) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2)) |
(*.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1/3 binary64)) (/.f64 (*.f64 y y) (*.f64 x x))) |
(* (pow y 2) (- (+ (/ 1/2 (* x y)) (+ (* 1/2 (/ 1 y)) (/ (- (* -1/6 x) 1/2) x))) (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 y y) (-.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) y) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/2 binary64) x))) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) |
(* (pow y 2) (- (+ (/ 1/2 (* x y)) (+ (* 1/2 (/ 1 y)) (/ (- (* -1/6 x) 1/2) x))) (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow y 2))))) |
(*.f64 y (*.f64 y (+.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) y) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/2 binary64) x))) (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 y y)))))) |
(* (pow y 2) (- (+ (/ 1/2 (* x y)) (+ (* 1/2 (/ 1 y)) (/ (- (* -1/6 x) 1/2) x))) (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow y 2))))) |
(*.f64 y (*.f64 y (+.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) y) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/2 binary64) x))) (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 y y)))))) |
(/ (* (pow y 2) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2)) |
(*.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1/3 binary64)) (/.f64 (*.f64 y y) (*.f64 x x))) |
(* (pow y 2) (- (+ (/ 1/2 (* x y)) (+ (* 1/2 (/ 1 y)) (/ (- (* -1/6 x) 1/2) x))) (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 y y) (-.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) y) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/2 binary64) x))) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) |
(* (pow y 2) (- (+ (* -1 (/ (- (/ 1 y) (+ 1/2 (* 1/2 (/ 1 x)))) y)) (/ (- (* -1/6 x) 1/2) x)) (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 y y) (+.f64 (-.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/2 binary64) x)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))) y)) (/.f64 #s(literal -1/3 binary64) (*.f64 x x)))) |
(* (pow y 2) (- (+ (* -1 (/ (- (/ 1 y) (+ 1/2 (* 1/2 (/ 1 x)))) y)) (/ (- (* -1/6 x) 1/2) x)) (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 y y) (+.f64 (-.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/2 binary64) x)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))) y)) (/.f64 #s(literal -1/3 binary64) (*.f64 x x)))) |
(* -1/3 y) |
(*.f64 y #s(literal -1/3 binary64)) |
(* -1/3 y) |
(*.f64 y #s(literal -1/3 binary64)) |
(* -1/3 y) |
(*.f64 y #s(literal -1/3 binary64)) |
(* -1/3 y) |
(*.f64 y #s(literal -1/3 binary64)) |
(* -1/3 y) |
(*.f64 y #s(literal -1/3 binary64)) |
(* -1/3 y) |
(*.f64 y #s(literal -1/3 binary64)) |
(* -1/3 y) |
(*.f64 y #s(literal -1/3 binary64)) |
(* -1/3 y) |
(*.f64 y #s(literal -1/3 binary64)) |
(* -1/3 y) |
(*.f64 y #s(literal -1/3 binary64)) |
(* -1/3 y) |
(*.f64 y #s(literal -1/3 binary64)) |
(* -1/3 y) |
(*.f64 y #s(literal -1/3 binary64)) |
(* -1/3 y) |
(*.f64 y #s(literal -1/3 binary64)) |
Compiled 37 925 to 3 091 computations (91.8% saved)
28 alts after pruning (23 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 125 | 16 | 1 141 |
| Fresh | 10 | 7 | 17 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 137 | 28 | 1 165 |
| Status | Accuracy | Program |
|---|---|---|
| 63.0% | (fma.f64 y (fma.f64 y (fma.f64 (/.f64 y x) #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) | |
| 63.7% | (/.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) x) | |
| 35.3% | (/.f64 (fma.f64 y (fma.f64 y (/.f64 (fma.f64 x (fma.f64 x (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 y #s(literal -1/3 binary64))) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)) x) | |
| 64.0% | (/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x) | |
| 44.5% | (/.f64 (fma.f64 y (/.f64 (fma.f64 x (*.f64 (*.f64 y y) (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64))) (*.f64 y (*.f64 y #s(literal -1/3 binary64)))) (*.f64 x x)) #s(literal 1 binary64)) x) | |
| ▶ | 73.3% | (/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x) |
| 63.6% | (/.f64 (/.f64 (-.f64 x (*.f64 x y)) x) x) | |
| 8.1% | (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/3 binary64)) (*.f64 x x)) x) | |
| 4.8% | (/.f64 (/.f64 (*.f64 (*.f64 y y) (fma.f64 y #s(literal -1/3 binary64) (*.f64 x (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 x x)) x) | |
| 13.2% | (/.f64 (/.f64 (*.f64 y (*.f64 y (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) x) x) | |
| ✓ | 6.2% | (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) x) x) |
| 39.3% | (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 y x) x)) | |
| ▶ | 62.1% | (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) y)) |
| 40.7% | (/.f64 (-.f64 x (*.f64 x y)) (*.f64 x x)) | |
| ✓ | 57.7% | (/.f64 (-.f64 #s(literal 1 binary64) y) x) |
| 35.8% | (/.f64 (+.f64 (/.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/3 binary64)) (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))) (*.f64 x x)) #s(literal 1 binary64)) x) | |
| 8.7% | (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x))) | |
| ▶ | 4.5% | (/.f64 (*.f64 y (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1/3 binary64)) (/.f64 (*.f64 y y) (*.f64 x x)))) x) |
| 8.5% | (/.f64 (*.f64 y (*.f64 y #s(literal 1/2 binary64))) (*.f64 x x)) | |
| ▶ | 4.4% | (/.f64 (neg.f64 y) x) |
| ✓ | 80.2% | (/.f64 (exp.f64 (neg.f64 y)) x) |
| 65.4% | (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 (*.f64 x y) (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) x)) | |
| 65.0% | (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y (*.f64 y #s(literal 1/2 binary64)) y) x)) | |
| 62.1% | (/.f64 #s(literal 1 binary64) (fma.f64 x y x)) | |
| ▶ | 65.4% | (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) x)) |
| ✓ | 80.2% | (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 y) x)) |
| ✓ | 77.3% | (/.f64 #s(literal 1 binary64) x) |
| 57.7% | (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) |
Compiled 742 to 465 computations (37.3% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1/3 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1/3 binary64)) (/.f64 (*.f64 y y) (*.f64 x x))) |
| ✓ | cost-diff | 0 | (*.f64 y (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1/3 binary64)) (/.f64 (*.f64 y y) (*.f64 x x)))) |
| ✓ | cost-diff | 384 | (/.f64 (*.f64 y (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1/3 binary64)) (/.f64 (*.f64 y y) (*.f64 x x)))) x) |
| ✓ | cost-diff | 0 | (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) x)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) y) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 512 | (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) y)) |
| ✓ | cost-diff | 0 | (neg.f64 y) |
| ✓ | cost-diff | 0 | (/.f64 (neg.f64 y) x) |
| ✓ | cost-diff | 0 | (+.f64 y x) |
| ✓ | cost-diff | 0 | (/.f64 x (+.f64 y x)) |
| ✓ | cost-diff | 0 | (pow.f64 (/.f64 x (+.f64 y x)) x) |
| ✓ | cost-diff | 0 | (/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x) |
| 6 250× | lower-fma.f32 |
| 6 240× | lower-fma.f64 |
| 3 258× | lower-*.f32 |
| 3 248× | lower-*.f64 |
| 2 018× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 182 |
| 0 | 57 | 182 |
| 1 | 112 | 182 |
| 2 | 259 | 180 |
| 3 | 817 | 176 |
| 4 | 3050 | 174 |
| 5 | 3914 | 174 |
| 6 | 4281 | 172 |
| 7 | 4806 | 172 |
| 8 | 5199 | 172 |
| 9 | 6988 | 172 |
| 0 | 8014 | 171 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x) |
(pow.f64 (/.f64 x (+.f64 y x)) x) |
(/.f64 x (+.f64 y x)) |
x |
(+.f64 y x) |
y |
(/.f64 (neg.f64 y) x) |
(neg.f64 y) |
y |
x |
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(+.f64 #s(literal 1 binary64) y) |
y |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) x)) |
#s(literal 1 binary64) |
(*.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) x) |
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
y |
(fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
x |
(/.f64 (*.f64 y (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1/3 binary64)) (/.f64 (*.f64 y y) (*.f64 x x)))) x) |
(*.f64 y (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1/3 binary64)) (/.f64 (*.f64 y y) (*.f64 x x)))) |
y |
(*.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1/3 binary64)) (/.f64 (*.f64 y y) (*.f64 x x))) |
(fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1/3 binary64)) |
x |
(fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) |
#s(literal -1/6 binary64) |
#s(literal -1/2 binary64) |
#s(literal -1/3 binary64) |
(/.f64 (*.f64 y y) (*.f64 x x)) |
(*.f64 y y) |
(*.f64 x x) |
| Outputs |
|---|
(/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x) |
(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x) |
(pow.f64 (/.f64 x (+.f64 y x)) x) |
(pow.f64 (/.f64 x (+.f64 x y)) x) |
(/.f64 x (+.f64 y x)) |
(/.f64 x (+.f64 x y)) |
x |
(+.f64 y x) |
(+.f64 x y) |
y |
(/.f64 (neg.f64 y) x) |
(/.f64 y (neg.f64 x)) |
(neg.f64 y) |
y |
x |
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) (fma.f64 x y x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(+.f64 #s(literal 1 binary64) y) |
(+.f64 y #s(literal 1 binary64)) |
y |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) x)) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 x (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) x)) |
#s(literal 1 binary64) |
(*.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) x) |
(fma.f64 y (*.f64 x (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) x) |
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
y |
(fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
x |
(/.f64 (*.f64 y (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1/3 binary64)) (/.f64 (*.f64 y y) (*.f64 x x)))) x) |
(/.f64 (*.f64 y (*.f64 y (*.f64 y (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1/3 binary64))))) (*.f64 x (*.f64 x x))) |
(*.f64 y (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1/3 binary64)) (/.f64 (*.f64 y y) (*.f64 x x)))) |
(/.f64 (*.f64 y (*.f64 y (*.f64 y (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1/3 binary64))))) (*.f64 x x)) |
y |
(*.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1/3 binary64)) (/.f64 (*.f64 y y) (*.f64 x x))) |
(/.f64 (*.f64 y (*.f64 y (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1/3 binary64)))) (*.f64 x x)) |
(fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1/3 binary64)) |
x |
(fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) |
#s(literal -1/6 binary64) |
#s(literal -1/2 binary64) |
#s(literal -1/3 binary64) |
(/.f64 (*.f64 y y) (*.f64 x x)) |
(*.f64 y y) |
(*.f64 x x) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.5% | (*.f64 y (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1/3 binary64)) (/.f64 (*.f64 y y) (*.f64 x x)))) |
| ✓ | accuracy | 92.2% | (/.f64 (*.f64 y (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1/3 binary64)) (/.f64 (*.f64 y y) (*.f64 x x)))) x) |
| ✓ | accuracy | 76.8% | (/.f64 (*.f64 y y) (*.f64 x x)) |
| ✓ | accuracy | 73.9% | (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1/3 binary64)) (/.f64 (*.f64 y y) (*.f64 x x))) |
| ✓ | accuracy | 99.9% | (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.9% | (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) x)) |
| ✓ | accuracy | 99.8% | (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 97.8% | (*.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) x) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) y) |
| ✓ | accuracy | 99.8% | (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) y)) |
| ✓ | accuracy | 100.0% | (/.f64 (neg.f64 y) x) |
| ✓ | accuracy | 100.0% | (neg.f64 y) |
| ✓ | accuracy | 100.0% | (+.f64 y x) |
| ✓ | accuracy | 100.0% | (/.f64 x (+.f64 y x)) |
| ✓ | accuracy | 100.0% | (/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x) |
| ✓ | accuracy | 73.0% | (pow.f64 (/.f64 x (+.f64 y x)) x) |
| 64.0ms | 111× | 1 | valid |
| 44.0ms | 145× | 0 | valid |
Compiled 184 to 37 computations (79.9% saved)
ival-mult: 21.0ms (24.9% of total)ival-div: 16.0ms (18.9% of total)ival-pow: 15.0ms (17.8% of total)const: 14.0ms (16.6% of total)ival-add: 11.0ms (13% of total)adjust: 6.0ms (7.1% of total)ival-neg: 1.0ms (1.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x)> |
#<alt (pow.f64 (/.f64 x (+.f64 y x)) x)> |
#<alt (/.f64 x (+.f64 y x))> |
#<alt (+.f64 y x)> |
#<alt (/.f64 (neg.f64 y) x)> |
#<alt (neg.f64 y)> |
#<alt (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) y))> |
#<alt (/.f64 #s(literal 1 binary64) x)> |
#<alt (+.f64 #s(literal 1 binary64) y)> |
#<alt (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) x))> |
#<alt (*.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) x)> |
#<alt (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))> |
#<alt (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))> |
#<alt (/.f64 (*.f64 y (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1/3 binary64)) (/.f64 (*.f64 y y) (*.f64 x x)))) x)> |
#<alt (*.f64 y (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1/3 binary64)) (/.f64 (*.f64 y y) (*.f64 x x))))> |
#<alt (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1/3 binary64)) (/.f64 (*.f64 y y) (*.f64 x x)))> |
#<alt (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1/3 binary64))> |
#<alt (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64))> |
#<alt (/.f64 (*.f64 y y) (*.f64 x x))> |
| Outputs |
|---|
#<alt (/ 1 x)> |
#<alt (/ (+ 1 (* x (+ (log x) (log (/ 1 y))))) x)> |
#<alt (/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) x)> |
#<alt (/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) x)> |
#<alt (/ (exp (* -1 y)) x)> |
#<alt (/ (+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x)> |
#<alt (/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))) x)> |
#<alt (/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (+ (/ (* (exp (* -1 y)) (+ (* 1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (+ (* 1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (pow x 3)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2))))) x)> |
#<alt (/ (exp (* -1 y)) x)> |
#<alt (* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x))> |
#<alt (* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (/ (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) x)) x))) x))> |
#<alt (* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2))))) (/ (* (exp (* -1 y)) (+ (* -1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) x)) x)) (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x))) x))> |
#<alt (/ 1 x)> |
#<alt (+ (* -1 (/ y x)) (/ 1 x))> |
#<alt (+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))> |
#<alt (+ (* y (- (* y (+ (* -1 (/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) (/ 1 x))) (/ 1 x))> |
#<alt (/ (exp (* x (+ (log x) (log (/ 1 y))))) x)> |
#<alt (+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (exp (* x (+ (log x) (log (/ 1 y))))) x))> |
#<alt (+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2)))))> |
#<alt (+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (+ (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 6)) (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))))))) (* x (pow y 3))) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2))))))> |
#<alt (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)> |
#<alt (+ (* -1 (/ (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x y))) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) (* x y))) (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) x)) y)) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x))> |
#<alt 1> |
#<alt (+ 1 (* x (+ (log x) (log (/ 1 y)))))> |
#<alt (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y)))))))> |
#<alt (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y)))))))> |
#<alt (exp (* -1 y))> |
#<alt (+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)))> |
#<alt (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2))))> |
#<alt (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (+ (/ (* (exp (* -1 y)) (+ (* 1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (+ (* 1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (pow x 3)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))))> |
#<alt (exp (* -1 y))> |
#<alt (+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)))> |
#<alt (+ (exp (* -1 y)) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) x)) (* -1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x)))> |
#<alt (+ (exp (* -1 y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 y)) (+ (* -1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) x)) (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2))))) x)) (* -1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x)))> |
#<alt 1> |
#<alt (+ 1 (* -1 y))> |
#<alt (+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1)))> |
#<alt (+ 1 (* y (- (* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) 1)))> |
#<alt (exp (* x (+ (log x) (log (/ 1 y)))))> |
#<alt (+ (exp (* x (+ (log x) (log (/ 1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)))> |
#<alt (+ (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (pow y 2))))> |
#<alt (+ (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 6)) (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))))))) (pow y 3)) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (pow y 2)))))> |
#<alt (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))> |
#<alt (+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y)))> |
#<alt (+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)))> |
#<alt (+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) y)) (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4))))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)))> |
#<alt (/ x y)> |
#<alt (* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))> |
#<alt (* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))> |
#<alt (* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))> |
#<alt 1> |
#<alt (+ 1 (* -1 (/ y x)))> |
#<alt (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))> |
#<alt (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))> |
#<alt 1> |
#<alt (+ 1 (* -1 (/ y x)))> |
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))> |
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))> |
#<alt 1> |
#<alt (+ 1 (* -1 (/ y x)))> |
#<alt (+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))> |
#<alt (+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))> |
#<alt (/ x y)> |
#<alt (/ (+ x (* -1 (/ (pow x 2) y))) y)> |
#<alt (/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)> |
#<alt (/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)> |
#<alt (/ x y)> |
#<alt (* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))> |
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))> |
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))> |
#<alt x> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt y> |
#<alt (* y (+ 1 (/ x y)))> |
#<alt (* y (+ 1 (/ x y)))> |
#<alt (* y (+ 1 (/ x y)))> |
#<alt y> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))> |
#<alt y> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt x> |
#<alt (* x (+ 1 (/ y x)))> |
#<alt (* x (+ 1 (/ y x)))> |
#<alt (* x (+ 1 (/ y x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))> |
#<alt (* -1 (/ y x))> |
#<alt (* -1 (/ y x))> |
#<alt (* -1 (/ y x))> |
#<alt (* -1 (/ y x))> |
#<alt (* -1 (/ y x))> |
#<alt (* -1 (/ y x))> |
#<alt (* -1 (/ y x))> |
#<alt (* -1 (/ y x))> |
#<alt (* -1 (/ y x))> |
#<alt (* -1 (/ y x))> |
#<alt (* -1 (/ y x))> |
#<alt (* -1 (/ y x))> |
#<alt (* -1 (/ y x))> |
#<alt (* -1 (/ y x))> |
#<alt (* -1 (/ y x))> |
#<alt (* -1 (/ y x))> |
#<alt (* -1 (/ y x))> |
#<alt (* -1 (/ y x))> |
#<alt (* -1 (/ y x))> |
#<alt (* -1 (/ y x))> |
#<alt (* -1 (/ y x))> |
#<alt (* -1 (/ y x))> |
#<alt (* -1 (/ y x))> |
#<alt (* -1 (/ y x))> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (/ 1 (* x (+ 1 y)))> |
#<alt (/ 1 (* x (+ 1 y)))> |
#<alt (/ 1 (* x (+ 1 y)))> |
#<alt (/ 1 (* x (+ 1 y)))> |
#<alt (/ 1 (* x (+ 1 y)))> |
#<alt (/ 1 (* x (+ 1 y)))> |
#<alt (/ 1 (* x (+ 1 y)))> |
#<alt (/ 1 (* x (+ 1 y)))> |
#<alt (/ 1 (* x (+ 1 y)))> |
#<alt (/ 1 (* x (+ 1 y)))> |
#<alt (/ 1 (* x (+ 1 y)))> |
#<alt (/ 1 (* x (+ 1 y)))> |
#<alt (/ 1 x)> |
#<alt (+ (* -1 (/ y x)) (/ 1 x))> |
#<alt (+ (* y (- (/ y x) (/ 1 x))) (/ 1 x))> |
#<alt (+ (* y (- (* y (+ (* -1 (/ y x)) (/ 1 x))) (/ 1 x))) (/ 1 x))> |
#<alt (/ 1 (* x y))> |
#<alt (/ (- (/ 1 x) (/ 1 (* x y))) y)> |
#<alt (/ (- (+ (/ 1 x) (/ 1 (* x (pow y 2)))) (/ 1 (* x y))) y)> |
#<alt (/ (- (+ (/ 1 x) (/ 1 (* x (pow y 2)))) (+ (/ 1 (* x y)) (/ 1 (* x (pow y 3))))) y)> |
#<alt (/ 1 (* x y))> |
#<alt (* -1 (/ (- (/ 1 (* x y)) (/ 1 x)) y))> |
#<alt (* -1 (/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 x)) y)) (/ 1 x)) y))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 x)) y)) (/ 1 x)) y)) (/ 1 x)) y))> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt 1> |
#<alt (+ 1 y)> |
#<alt (+ 1 y)> |
#<alt (+ 1 y)> |
#<alt y> |
#<alt (* y (+ 1 (/ 1 y)))> |
#<alt (* y (+ 1 (/ 1 y)))> |
#<alt (* y (+ 1 (/ 1 y)))> |
#<alt y> |
#<alt (* y (+ 1 (/ 1 y)))> |
#<alt (* y (+ 1 (/ 1 y)))> |
#<alt (* y (+ 1 (/ 1 y)))> |
#<alt (/ 1 x)> |
#<alt (+ (* -1 (/ y x)) (/ 1 x))> |
#<alt (+ (* y (- (* 1/2 (/ y x)) (/ 1 x))) (/ 1 x))> |
#<alt (+ (* y (- (* y (+ (* -1/6 (/ y x)) (* 1/2 (/ 1 x)))) (/ 1 x))) (/ 1 x))> |
#<alt (/ 6 (* x (pow y 3)))> |
#<alt (/ (- (* 6 (/ 1 x)) (* 18 (/ 1 (* x y)))) (pow y 3))> |
#<alt (/ (- (+ (* 6 (/ 1 x)) (/ 18 (* x (pow y 2)))) (/ 18 (* x y))) (pow y 3))> |
#<alt (/ (- (+ (* 6 (/ 1 x)) (+ (* 18 (/ 1 (* x (pow y 2)))) (* 18 (/ 1 (* x (pow y 3)))))) (/ 18 (* x y))) (pow y 3))> |
#<alt (/ 6 (* x (pow y 3)))> |
#<alt (* -1 (/ (- (* 18 (/ 1 (* x y))) (* 6 (/ 1 x))) (pow y 3)))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 18 (/ 1 (* x y))) (* 18 (/ 1 x))) y)) (* 6 (/ 1 x))) (pow y 3)))> |
#<alt (* -1 (/ (- (* -1 (/ (- (+ (/ 18 (* x y)) (/ 18 (* x (pow y 2)))) (* 18 (/ 1 x))) y)) (* 6 (/ 1 x))) (pow y 3)))> |
#<alt (/ 1 (* x (+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))))> |
#<alt (/ 1 (* x (+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))))> |
#<alt (/ 1 (* x (+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))))> |
#<alt (/ 1 (* x (+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))))> |
#<alt (/ 1 (* x (+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))))> |
#<alt (/ 1 (* x (+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))))> |
#<alt (/ 1 (* x (+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))))> |
#<alt (/ 1 (* x (+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))))> |
#<alt (/ 1 (* x (+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))))> |
#<alt (/ 1 (* x (+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))))> |
#<alt (/ 1 (* x (+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))))> |
#<alt (/ 1 (* x (+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))))> |
#<alt x> |
#<alt (+ x (* x y))> |
#<alt (+ x (* y (+ x (* 1/2 (* x y)))))> |
#<alt (+ x (* y (+ x (* y (+ (* 1/6 (* x y)) (* 1/2 x))))))> |
#<alt (* 1/6 (* x (pow y 3)))> |
#<alt (* (pow y 3) (+ (* 1/6 x) (* 1/2 (/ x y))))> |
#<alt (* (pow y 3) (+ (* 1/6 x) (+ (* 1/2 (/ x y)) (/ x (pow y 2)))))> |
#<alt (* (pow y 3) (+ (* 1/6 x) (+ (* 1/2 (/ x y)) (+ (/ x (pow y 2)) (/ x (pow y 3))))))> |
#<alt (* 1/6 (* x (pow y 3)))> |
#<alt (* -1 (* (pow y 3) (+ (* -1/2 (/ x y)) (* -1/6 x))))> |
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ (* 1/2 x) (/ x y)) y)) (* -1/6 x))))> |
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 x) (* -1 (/ x y))) y)) (* 1/2 x)) y)) (* -1/6 x))))> |
#<alt (* x (+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y)))))))> |
#<alt (* x (+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y)))))))> |
#<alt (* x (+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y)))))))> |
#<alt (* x (+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y)))))))> |
#<alt (* x (+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y)))))))> |
#<alt (* x (+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y)))))))> |
#<alt (* x (+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y)))))))> |
#<alt (* x (+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y)))))))> |
#<alt (* x (+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y)))))))> |
#<alt (* x (+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y)))))))> |
#<alt (* x (+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y)))))))> |
#<alt (* x (+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y)))))))> |
#<alt 1> |
#<alt (+ 1 y)> |
#<alt (+ 1 (* y (+ 1 (* 1/2 y))))> |
#<alt (+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))> |
#<alt (* 1/6 (pow y 3))> |
#<alt (* (pow y 3) (+ 1/6 (* 1/2 (/ 1 y))))> |
#<alt (* (pow y 3) (+ 1/6 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2)))))> |
#<alt (* (pow y 3) (+ 1/6 (+ (* 1/2 (/ 1 y)) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))))> |
#<alt (* 1/6 (pow y 3))> |
#<alt (* (pow y 3) (+ 1/6 (* 1/2 (/ 1 y))))> |
#<alt (* -1 (* (pow y 3) (- (* -1 (/ (+ 1/2 (/ 1 y)) y)) 1/6)))> |
#<alt (* -1 (* (pow y 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) 1/6)))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 y))> |
#<alt (+ 1 (* y (+ 1/2 (* 1/6 y))))> |
#<alt (+ 1 (* y (+ 1/2 (* 1/6 y))))> |
#<alt (* 1/6 (pow y 2))> |
#<alt (* (pow y 2) (+ 1/6 (* 1/2 (/ 1 y))))> |
#<alt (* (pow y 2) (+ 1/6 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2)))))> |
#<alt (* (pow y 2) (+ 1/6 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2)))))> |
#<alt (* 1/6 (pow y 2))> |
#<alt (* (pow y 2) (+ 1/6 (* 1/2 (/ 1 y))))> |
#<alt (* (pow y 2) (+ 1/6 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2)))))> |
#<alt (* (pow y 2) (+ 1/6 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2)))))> |
#<alt (/ (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 3))> |
#<alt (/ (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 3))> |
#<alt (/ (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 3))> |
#<alt (/ (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 3))> |
#<alt (/ (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 3))> |
#<alt (/ (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 3))> |
#<alt (/ (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 3))> |
#<alt (/ (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 3))> |
#<alt (/ (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 3))> |
#<alt (/ (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 3))> |
#<alt (/ (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 3))> |
#<alt (/ (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 3))> |
#<alt (* -1/3 (/ (pow y 3) (pow x 3)))> |
#<alt (/ (+ (* -1/2 (* x (pow y 3))) (* -1/3 (pow y 3))) (pow x 3))> |
#<alt (/ (+ (* -1/3 (pow y 3)) (* x (+ (* -1/2 (pow y 3)) (* -1/6 (* x (pow y 3)))))) (pow x 3))> |
#<alt (/ (+ (* -1/3 (pow y 3)) (* x (+ (* -1/2 (pow y 3)) (* -1/6 (* x (pow y 3)))))) (pow x 3))> |
#<alt (* -1/6 (/ (pow y 3) x))> |
#<alt (/ (+ (* -1/2 (/ (pow y 3) x)) (* -1/6 (pow y 3))) x)> |
#<alt (/ (+ (* -1/2 (/ (pow y 3) x)) (+ (* -1/3 (/ (pow y 3) (pow x 2))) (* -1/6 (pow y 3)))) x)> |
#<alt (/ (+ (* -1/2 (/ (pow y 3) x)) (+ (* -1/3 (/ (pow y 3) (pow x 2))) (* -1/6 (pow y 3)))) x)> |
#<alt (* -1/6 (/ (pow y 3) x))> |
#<alt (* -1 (/ (+ (* 1/6 (pow y 3)) (* 1/2 (/ (pow y 3) x))) x))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (pow y 3)) (* -1/3 (/ (pow y 3) x))) x)) (* 1/6 (pow y 3))) x))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (pow y 3)) (* -1/3 (/ (pow y 3) x))) x)) (* 1/6 (pow y 3))) x))> |
#<alt (/ (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2))> |
#<alt (/ (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2))> |
#<alt (/ (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2))> |
#<alt (/ (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2))> |
#<alt (/ (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2))> |
#<alt (/ (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2))> |
#<alt (/ (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2))> |
#<alt (/ (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2))> |
#<alt (/ (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2))> |
#<alt (/ (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2))> |
#<alt (/ (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2))> |
#<alt (/ (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2))> |
#<alt (* -1/3 (/ (pow y 3) (pow x 2)))> |
#<alt (/ (+ (* -1/2 (* x (pow y 3))) (* -1/3 (pow y 3))) (pow x 2))> |
#<alt (/ (+ (* -1/3 (pow y 3)) (* x (+ (* -1/2 (pow y 3)) (* -1/6 (* x (pow y 3)))))) (pow x 2))> |
#<alt (/ (+ (* -1/3 (pow y 3)) (* x (+ (* -1/2 (pow y 3)) (* -1/6 (* x (pow y 3)))))) (pow x 2))> |
#<alt (* -1/6 (pow y 3))> |
#<alt (+ (* -1/2 (/ (pow y 3) x)) (* -1/6 (pow y 3)))> |
#<alt (+ (* -1/2 (/ (pow y 3) x)) (+ (* -1/3 (/ (pow y 3) (pow x 2))) (* -1/6 (pow y 3))))> |
#<alt (+ (* -1/2 (/ (pow y 3) x)) (+ (* -1/3 (/ (pow y 3) (pow x 2))) (* -1/6 (pow y 3))))> |
#<alt (* -1/6 (pow y 3))> |
#<alt (+ (* -1/2 (/ (pow y 3) x)) (* -1/6 (pow y 3)))> |
#<alt (+ (* -1 (/ (+ (* 1/3 (/ (pow y 3) x)) (* 1/2 (pow y 3))) x)) (* -1/6 (pow y 3)))> |
#<alt (+ (* -1 (/ (+ (* 1/3 (/ (pow y 3) x)) (* 1/2 (pow y 3))) x)) (* -1/6 (pow y 3)))> |
#<alt (* -1/3 (/ (pow y 2) (pow x 2)))> |
#<alt (/ (+ (* -1/2 (* x (pow y 2))) (* -1/3 (pow y 2))) (pow x 2))> |
#<alt (/ (+ (* -1/3 (pow y 2)) (* x (+ (* -1/2 (pow y 2)) (* -1/6 (* x (pow y 2)))))) (pow x 2))> |
#<alt (/ (+ (* -1/3 (pow y 2)) (* x (+ (* -1/2 (pow y 2)) (* -1/6 (* x (pow y 2)))))) (pow x 2))> |
#<alt (* -1/6 (pow y 2))> |
#<alt (+ (* -1/2 (/ (pow y 2) x)) (* -1/6 (pow y 2)))> |
#<alt (+ (* -1/2 (/ (pow y 2) x)) (+ (* -1/3 (/ (pow y 2) (pow x 2))) (* -1/6 (pow y 2))))> |
#<alt (+ (* -1/2 (/ (pow y 2) x)) (+ (* -1/3 (/ (pow y 2) (pow x 2))) (* -1/6 (pow y 2))))> |
#<alt (* -1/6 (pow y 2))> |
#<alt (+ (* -1/2 (/ (pow y 2) x)) (* -1/6 (pow y 2)))> |
#<alt (+ (* -1 (/ (+ (* 1/3 (/ (pow y 2) x)) (* 1/2 (pow y 2))) x)) (* -1/6 (pow y 2)))> |
#<alt (+ (* -1 (/ (+ (* 1/3 (/ (pow y 2) x)) (* 1/2 (pow y 2))) x)) (* -1/6 (pow y 2)))> |
#<alt (/ (* (pow y 2) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2))> |
#<alt (/ (* (pow y 2) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2))> |
#<alt (/ (* (pow y 2) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2))> |
#<alt (/ (* (pow y 2) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2))> |
#<alt (/ (* (pow y 2) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2))> |
#<alt (/ (* (pow y 2) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2))> |
#<alt (/ (* (pow y 2) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2))> |
#<alt (/ (* (pow y 2) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2))> |
#<alt (/ (* (pow y 2) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2))> |
#<alt (/ (* (pow y 2) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2))> |
#<alt (/ (* (pow y 2) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2))> |
#<alt (/ (* (pow y 2) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2))> |
#<alt -1/3> |
#<alt (- (* -1/2 x) 1/3)> |
#<alt (- (* x (- (* -1/6 x) 1/2)) 1/3)> |
#<alt (- (* x (- (* -1/6 x) 1/2)) 1/3)> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x)))))> |
#<alt (* (pow x 2) (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1/6))> |
#<alt (* (pow x 2) (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1/6))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x)))))> |
#<alt (* (pow x 2) (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1/6))> |
#<alt (* (pow x 2) (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1/6))> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/6 y))> |
#<alt (+ 1/2 (* 1/6 y))> |
#<alt (+ 1/2 (* 1/6 y))> |
#<alt (* 1/6 y)> |
#<alt (* y (+ 1/6 (* 1/2 (/ 1 y))))> |
#<alt (* y (+ 1/6 (* 1/2 (/ 1 y))))> |
#<alt (* y (+ 1/6 (* 1/2 (/ 1 y))))> |
#<alt (* 1/6 y)> |
#<alt (* y (+ 1/6 (* 1/2 (/ 1 y))))> |
#<alt (* y (+ 1/6 (* 1/2 (/ 1 y))))> |
#<alt (* y (+ 1/6 (* 1/2 (/ 1 y))))> |
#<alt (/ (pow y 2) (pow x 2))> |
#<alt (/ (pow y 2) (pow x 2))> |
#<alt (/ (pow y 2) (pow x 2))> |
#<alt (/ (pow y 2) (pow x 2))> |
#<alt (/ (pow y 2) (pow x 2))> |
#<alt (/ (pow y 2) (pow x 2))> |
#<alt (/ (pow y 2) (pow x 2))> |
#<alt (/ (pow y 2) (pow x 2))> |
#<alt (/ (pow y 2) (pow x 2))> |
#<alt (/ (pow y 2) (pow x 2))> |
#<alt (/ (pow y 2) (pow x 2))> |
#<alt (/ (pow y 2) (pow x 2))> |
#<alt (/ (pow y 2) (pow x 2))> |
#<alt (/ (pow y 2) (pow x 2))> |
#<alt (/ (pow y 2) (pow x 2))> |
#<alt (/ (pow y 2) (pow x 2))> |
#<alt (/ (pow y 2) (pow x 2))> |
#<alt (/ (pow y 2) (pow x 2))> |
#<alt (/ (pow y 2) (pow x 2))> |
#<alt (/ (pow y 2) (pow x 2))> |
#<alt (/ (pow y 2) (pow x 2))> |
#<alt (/ (pow y 2) (pow x 2))> |
#<alt (/ (pow y 2) (pow x 2))> |
#<alt (/ (pow y 2) (pow x 2))> |
93 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 15.0ms | x | @ | 0 | (/ 1 (* (+ (* y (+ (* y (+ (* y 1/6) 1/2)) 1)) 1) x)) |
| 2.0ms | y | @ | 0 | (/ (* y (* (+ (* x (+ (* x -1/6) -1/2)) -1/3) (/ (* y y) (* x x)))) x) |
| 1.0ms | x | @ | 0 | (/ (* y (* (+ (* x (+ (* x -1/6) -1/2)) -1/3) (/ (* y y) (* x x)))) x) |
| 1.0ms | x | @ | 0 | (/ (/ 1 x) (+ 1 y)) |
| 1.0ms | x | @ | -inf | (/ (* y (* (+ (* x (+ (* x -1/6) -1/2)) -1/3) (/ (* y y) (* x x)))) x) |
| 1× | batch-egg-rewrite |
| 4 628× | lower-/.f32 |
| 4 612× | lower-/.f64 |
| 3 818× | lower-*.f32 |
| 3 808× | lower-*.f64 |
| 3 378× | lower-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 155 |
| 0 | 57 | 155 |
| 1 | 250 | 147 |
| 2 | 1805 | 147 |
| 0 | 8399 | 147 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x) |
(pow.f64 (/.f64 x (+.f64 y x)) x) |
(/.f64 x (+.f64 y x)) |
(+.f64 y x) |
(/.f64 (neg.f64 y) x) |
(neg.f64 y) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) x) |
(+.f64 #s(literal 1 binary64) y) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) x) |
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(/.f64 (*.f64 y (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1/3 binary64)) (/.f64 (*.f64 y y) (*.f64 x x)))) x) |
(*.f64 y (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1/3 binary64)) (/.f64 (*.f64 y y) (*.f64 x x)))) |
(*.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1/3 binary64)) (/.f64 (*.f64 y y) (*.f64 x x))) |
(fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1/3 binary64)) |
(fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(/.f64 (*.f64 y y) (*.f64 x x)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (*.f64 x (pow.f64 (/.f64 x (+.f64 x y)) (neg.f64 x)))) #s(literal -1 binary64))) |
(exp.f64 (fma.f64 x (log.f64 (/.f64 x (+.f64 x y))) (*.f64 (log.f64 x) #s(literal -1 binary64)))) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))))) |
(-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) (neg.f64 x))) |
(neg.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) (neg.f64 x))) |
(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x) |
(/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (/.f64 x (+.f64 x y)) (neg.f64 x)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 x (pow.f64 (/.f64 x (+.f64 x y)) (neg.f64 x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (pow.f64 (/.f64 x (+.f64 x y)) (neg.f64 x))))) |
(/.f64 (neg.f64 (pow.f64 (/.f64 x (+.f64 x y)) x)) (neg.f64 x)) |
(/.f64 (*.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) #s(literal -1 binary64)) (neg.f64 x)) |
(/.f64 (neg.f64 (*.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) #s(literal -1 binary64))) x) |
(pow.f64 (*.f64 x (pow.f64 (/.f64 x (+.f64 x y)) (neg.f64 x))) #s(literal -1 binary64)) |
(*.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 x (+.f64 x y)) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (pow.f64 (/.f64 x (+.f64 x y)) (neg.f64 x)) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) (neg.f64 x))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (pow.f64 (/.f64 x (+.f64 x y)) (neg.f64 x)))))) |
(*.f64 (neg.f64 (pow.f64 (/.f64 x (+.f64 x y)) x)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (pow.f64 (/.f64 x (+.f64 x y)) (*.f64 x #s(literal 1/2 binary64))) (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) (*.f64 x #s(literal 1/2 binary64))) x)) |
(*.f64 (*.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) (*.f64 x #s(literal 1/2 binary64))) x) (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 (/.f64 x (+.f64 x y)) (*.f64 x #s(literal 1/2 binary64)))) x)) |
(*.f64 (/.f64 (pow.f64 x x) x) (/.f64 (pow.f64 (+.f64 x y) (neg.f64 x)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (neg.f64 (pow.f64 (/.f64 x (+.f64 x y)) (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) (*.f64 x #s(literal 1/2 binary64))) x)) |
(*.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 x y))) (fma.f64 x #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 x y))) (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64))))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 x y)) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 x (+.f64 x y)) (/.f64 x (+.f64 x y)))) (*.f64 x #s(literal 1/2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 x (+.f64 x y))) (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (fma.f64 (log.f64 (/.f64 x (+.f64 x y))) (*.f64 x #s(literal 1/2 binary64)) (*.f64 (log.f64 (/.f64 x (+.f64 x y))) (*.f64 x #s(literal 1/2 binary64))))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (/.f64 x (+.f64 x y)) x))) |
(neg.f64 (neg.f64 (pow.f64 (/.f64 x (+.f64 x y)) x))) |
(pow.f64 (/.f64 x (+.f64 x y)) x) |
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(/.f64 (neg.f64 (*.f64 (/.f64 y x) y)) (neg.f64 x)) |
(pow.f64 (/.f64 y x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x (/.f64 x (*.f64 y y))) #s(literal -1 binary64)) |
(*.f64 y (/.f64 y (*.f64 x x))) |
(*.f64 (/.f64 y (neg.f64 x)) (/.f64 y (neg.f64 x))) |
(*.f64 #s(literal 1 binary64) (*.f64 y (/.f64 y (*.f64 x x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 y y) x)) |
(*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 (*.f64 y y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 y (/.f64 y (*.f64 x x))))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (/.f64 x (*.f64 y y)))))) |
(*.f64 (*.f64 y (neg.f64 y)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 y y) (neg.f64 x))) |
(*.f64 (/.f64 y x) (/.f64 y x)) |
(*.f64 (/.f64 y x) (/.f64 (/.f64 y x) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 y y)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 y y) x) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (*.f64 y y) x) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(*.f64 (/.f64 y (*.f64 x x)) y) |
(*.f64 (/.f64 y (*.f64 x x)) (/.f64 y #s(literal 1 binary64))) |
(*.f64 (neg.f64 (/.f64 (*.f64 y y) x)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (*.f64 (/.f64 y x) y) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 y) (*.f64 x x))) |
(*.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 y (*.f64 x x))) |
| 1× | egg-herbie |
| 9 268× | lower-fma.f64 |
| 9 268× | lower-fma.f32 |
| 5 998× | lower-*.f64 |
| 5 998× | lower-*.f32 |
| 3 282× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 647 | 5226 |
| 1 | 2021 | 4824 |
| 2 | 6521 | 4700 |
| 0 | 8267 | 4357 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 x) |
(/ (+ 1 (* x (+ (log x) (log (/ 1 y))))) x) |
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) x) |
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) x) |
(/ (exp (* -1 y)) x) |
(/ (+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x) |
(/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))) x) |
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(/ (exp (* -1 y)) x) |
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x)) |
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(/ 1 x) |
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(/ (exp (* x (+ (log x) (log (/ 1 y))))) x) |
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1 |
(+ 1 (* x (+ (log x) (log (/ 1 y))))) |
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) |
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1 |
(+ 1 (* -1 y)) |
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(+ (exp (* x (+ (log x) (log (/ 1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y))) |
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(/ x y) |
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(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y) |
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(+ 1 (* y (+ 1/2 (* 1/6 y)))) |
(* 1/6 (pow y 2)) |
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 y)))) |
(* (pow y 2) (+ 1/6 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/6 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2))))) |
(* 1/6 (pow y 2)) |
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 y)))) |
(* (pow y 2) (+ 1/6 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/6 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2))))) |
(/ (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 3)) |
(/ (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 3)) |
(/ (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 3)) |
(/ (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 3)) |
(/ (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 3)) |
(/ (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 3)) |
(/ (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 3)) |
(/ (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 3)) |
(/ (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 3)) |
(/ (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 3)) |
(/ (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 3)) |
(/ (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 3)) |
(* -1/3 (/ (pow y 3) (pow x 3))) |
(/ (+ (* -1/2 (* x (pow y 3))) (* -1/3 (pow y 3))) (pow x 3)) |
(/ (+ (* -1/3 (pow y 3)) (* x (+ (* -1/2 (pow y 3)) (* -1/6 (* x (pow y 3)))))) (pow x 3)) |
(/ (+ (* -1/3 (pow y 3)) (* x (+ (* -1/2 (pow y 3)) (* -1/6 (* x (pow y 3)))))) (pow x 3)) |
(* -1/6 (/ (pow y 3) x)) |
(/ (+ (* -1/2 (/ (pow y 3) x)) (* -1/6 (pow y 3))) x) |
(/ (+ (* -1/2 (/ (pow y 3) x)) (+ (* -1/3 (/ (pow y 3) (pow x 2))) (* -1/6 (pow y 3)))) x) |
(/ (+ (* -1/2 (/ (pow y 3) x)) (+ (* -1/3 (/ (pow y 3) (pow x 2))) (* -1/6 (pow y 3)))) x) |
(* -1/6 (/ (pow y 3) x)) |
(* -1 (/ (+ (* 1/6 (pow y 3)) (* 1/2 (/ (pow y 3) x))) x)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (pow y 3)) (* -1/3 (/ (pow y 3) x))) x)) (* 1/6 (pow y 3))) x)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (pow y 3)) (* -1/3 (/ (pow y 3) x))) x)) (* 1/6 (pow y 3))) x)) |
(/ (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2)) |
(/ (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2)) |
(/ (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2)) |
(/ (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2)) |
(/ (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2)) |
(/ (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2)) |
(/ (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2)) |
(/ (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2)) |
(/ (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2)) |
(/ (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2)) |
(/ (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2)) |
(/ (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2)) |
(* -1/3 (/ (pow y 3) (pow x 2))) |
(/ (+ (* -1/2 (* x (pow y 3))) (* -1/3 (pow y 3))) (pow x 2)) |
(/ (+ (* -1/3 (pow y 3)) (* x (+ (* -1/2 (pow y 3)) (* -1/6 (* x (pow y 3)))))) (pow x 2)) |
(/ (+ (* -1/3 (pow y 3)) (* x (+ (* -1/2 (pow y 3)) (* -1/6 (* x (pow y 3)))))) (pow x 2)) |
(* -1/6 (pow y 3)) |
(+ (* -1/2 (/ (pow y 3) x)) (* -1/6 (pow y 3))) |
(+ (* -1/2 (/ (pow y 3) x)) (+ (* -1/3 (/ (pow y 3) (pow x 2))) (* -1/6 (pow y 3)))) |
(+ (* -1/2 (/ (pow y 3) x)) (+ (* -1/3 (/ (pow y 3) (pow x 2))) (* -1/6 (pow y 3)))) |
(* -1/6 (pow y 3)) |
(+ (* -1/2 (/ (pow y 3) x)) (* -1/6 (pow y 3))) |
(+ (* -1 (/ (+ (* 1/3 (/ (pow y 3) x)) (* 1/2 (pow y 3))) x)) (* -1/6 (pow y 3))) |
(+ (* -1 (/ (+ (* 1/3 (/ (pow y 3) x)) (* 1/2 (pow y 3))) x)) (* -1/6 (pow y 3))) |
(* -1/3 (/ (pow y 2) (pow x 2))) |
(/ (+ (* -1/2 (* x (pow y 2))) (* -1/3 (pow y 2))) (pow x 2)) |
(/ (+ (* -1/3 (pow y 2)) (* x (+ (* -1/2 (pow y 2)) (* -1/6 (* x (pow y 2)))))) (pow x 2)) |
(/ (+ (* -1/3 (pow y 2)) (* x (+ (* -1/2 (pow y 2)) (* -1/6 (* x (pow y 2)))))) (pow x 2)) |
(* -1/6 (pow y 2)) |
(+ (* -1/2 (/ (pow y 2) x)) (* -1/6 (pow y 2))) |
(+ (* -1/2 (/ (pow y 2) x)) (+ (* -1/3 (/ (pow y 2) (pow x 2))) (* -1/6 (pow y 2)))) |
(+ (* -1/2 (/ (pow y 2) x)) (+ (* -1/3 (/ (pow y 2) (pow x 2))) (* -1/6 (pow y 2)))) |
(* -1/6 (pow y 2)) |
(+ (* -1/2 (/ (pow y 2) x)) (* -1/6 (pow y 2))) |
(+ (* -1 (/ (+ (* 1/3 (/ (pow y 2) x)) (* 1/2 (pow y 2))) x)) (* -1/6 (pow y 2))) |
(+ (* -1 (/ (+ (* 1/3 (/ (pow y 2) x)) (* 1/2 (pow y 2))) x)) (* -1/6 (pow y 2))) |
(/ (* (pow y 2) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2)) |
(/ (* (pow y 2) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2)) |
(/ (* (pow y 2) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2)) |
(/ (* (pow y 2) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2)) |
(/ (* (pow y 2) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2)) |
(/ (* (pow y 2) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2)) |
(/ (* (pow y 2) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2)) |
(/ (* (pow y 2) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2)) |
(/ (* (pow y 2) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2)) |
(/ (* (pow y 2) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2)) |
(/ (* (pow y 2) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2)) |
(/ (* (pow y 2) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 2)) |
-1/3 |
(- (* -1/2 x) 1/3) |
(- (* x (- (* -1/6 x) 1/2)) 1/3) |
(- (* x (- (* -1/6 x) 1/2)) 1/3) |
(* -1/6 (pow x 2)) |
(* -1 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))) |
(* (pow x 2) (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1/6)) |
(* (pow x 2) (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1/6)) |
(* -1/6 (pow x 2)) |
(* -1 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))) |
(* (pow x 2) (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1/6)) |
(* (pow x 2) (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1/6)) |
1/2 |
(+ 1/2 (* 1/6 y)) |
(+ 1/2 (* 1/6 y)) |
(+ 1/2 (* 1/6 y)) |
(* 1/6 y) |
(* y (+ 1/6 (* 1/2 (/ 1 y)))) |
(* y (+ 1/6 (* 1/2 (/ 1 y)))) |
(* y (+ 1/6 (* 1/2 (/ 1 y)))) |
(* 1/6 y) |
(* y (+ 1/6 (* 1/2 (/ 1 y)))) |
(* y (+ 1/6 (* 1/2 (/ 1 y)))) |
(* y (+ 1/6 (* 1/2 (/ 1 y)))) |
(/ (pow y 2) (pow x 2)) |
(/ (pow y 2) (pow x 2)) |
(/ (pow y 2) (pow x 2)) |
(/ (pow y 2) (pow x 2)) |
(/ (pow y 2) (pow x 2)) |
(/ (pow y 2) (pow x 2)) |
(/ (pow y 2) (pow x 2)) |
(/ (pow y 2) (pow x 2)) |
(/ (pow y 2) (pow x 2)) |
(/ (pow y 2) (pow x 2)) |
(/ (pow y 2) (pow x 2)) |
(/ (pow y 2) (pow x 2)) |
(/ (pow y 2) (pow x 2)) |
(/ (pow y 2) (pow x 2)) |
(/ (pow y 2) (pow x 2)) |
(/ (pow y 2) (pow x 2)) |
(/ (pow y 2) (pow x 2)) |
(/ (pow y 2) (pow x 2)) |
(/ (pow y 2) (pow x 2)) |
(/ (pow y 2) (pow x 2)) |
(/ (pow y 2) (pow x 2)) |
(/ (pow y 2) (pow x 2)) |
(/ (pow y 2) (pow x 2)) |
(/ (pow y 2) (pow x 2)) |
| Outputs |
|---|
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* x (+ (log x) (log (/ 1 y))))) x) |
(/.f64 (fma.f64 x (-.f64 (log.f64 x) (log.f64 y)) #s(literal 1 binary64)) x) |
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) x) |
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) y)) (-.f64 (log.f64 x) (log.f64 y))) #s(literal 1 binary64)) x) |
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) x) |
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 (-.f64 (log.f64 x) (log.f64 y)) y))) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) y))) (-.f64 (log.f64 x) (log.f64 y))) #s(literal 1 binary64)) x) |
(/ (exp (* -1 y)) x) |
(/.f64 (exp.f64 (neg.f64 y)) x) |
(/ (+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x) |
(/.f64 (fma.f64 (exp.f64 (neg.f64 y)) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 y))) x) |
(/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))) x) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 y)) (/.f64 (*.f64 y y) x)) (fma.f64 (exp.f64 (neg.f64 y)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -2 binary64)) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/8 binary64)))) (*.f64 x x)) (exp.f64 (neg.f64 y)))) x) |
(/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (+ (/ (* (exp (* -1 y)) (+ (* 1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (+ (* 1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (pow x 3)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2))))) x) |
(/.f64 (fma.f64 (exp.f64 (neg.f64 y)) (+.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -2 binary64)) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/8 binary64)))) (*.f64 x x)) (/.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -2 binary64)) #s(literal 1/12 binary64)) (fma.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) y) #s(literal 1/48 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) y) #s(literal 30 binary64)) (neg.f64 (*.f64 (*.f64 y (*.f64 y y)) y))))) (*.f64 x (*.f64 x x)))) (fma.f64 (exp.f64 (neg.f64 y)) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 y)))) x) |
(/ (exp (* -1 y)) x) |
(/.f64 (exp.f64 (neg.f64 y)) x) |
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x)) |
(/.f64 (-.f64 (*.f64 (exp.f64 (neg.f64 y)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y y) x))) (exp.f64 (neg.f64 y))) (neg.f64 x)) |
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (/ (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) x)) x))) x)) |
(/.f64 (+.f64 (exp.f64 (neg.f64 y)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) (exp.f64 (neg.f64 y))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 2 binary64) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/8 binary64)))) (/.f64 (exp.f64 (neg.f64 y)) x))) x)) x) |
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2))))) (/ (* (exp (* -1 y)) (+ (* -1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) x)) x)) (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x))) x)) |
(/.f64 (+.f64 (exp.f64 (neg.f64 y)) (/.f64 (fma.f64 (*.f64 y y) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 y))) (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (*.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 2 binary64) (*.f64 y (*.f64 y y)))) (fma.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) y) #s(literal -1/48 binary64)) (fma.f64 (*.f64 y y) (*.f64 y y) (*.f64 (*.f64 (*.f64 (*.f64 y (*.f64 y y)) y) #s(literal 30 binary64)) #s(literal -1/24 binary64))))) (/.f64 (exp.f64 (neg.f64 y)) x) (*.f64 (neg.f64 (exp.f64 (neg.f64 y))) (fma.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 2 binary64) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/8 binary64)))))) (neg.f64 x))) x)) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(+ (* -1 (/ y x)) (/ 1 x)) |
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)) |
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x)) |
(fma.f64 y (fma.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) |
(+ (* y (- (* y (+ (* -1 (/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) (/ 1 x))) (/ 1 x)) |
(fma.f64 y (fma.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) (/.f64 y (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) |
(/ (exp (* x (+ (log x) (log (/ 1 y))))) x) |
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) x) (pow.f64 x x)) x) |
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (exp (* x (+ (log x) (log (/ 1 y))))) x)) |
(-.f64 (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) x) (pow.f64 x x)) x) (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) x) (pow.f64 x x)) (/.f64 x y))) |
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2))))) |
(-.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) x) (pow.f64 x x)) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 x (*.f64 y y))) (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) x) (pow.f64 x x)) x)) (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) x) (pow.f64 x x)) (/.f64 x y))) |
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (+ (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 6)) (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))))))) (* x (pow y 3))) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2)))))) |
(fma.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) x) (pow.f64 x x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 x (*.f64 y y))) (/.f64 (fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64))))) (*.f64 x (*.f64 y (*.f64 y y))))) (-.f64 (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) x) (pow.f64 x x)) x) (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) x) (pow.f64 x x)) (/.f64 x y)))) |
(/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x) |
(/.f64 (*.f64 (pow.f64 (neg.f64 x) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) x)) x) |
(+ (* -1 (/ (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(-.f64 (/.f64 (*.f64 (pow.f64 (neg.f64 x) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) x)) x) (*.f64 (*.f64 (pow.f64 (neg.f64 x) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) x)) (/.f64 x y))) |
(+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x y))) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
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(* -1 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))) |
(*.f64 (*.f64 x x) (neg.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))) |
(* (pow x 2) (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1/6)) |
(*.f64 (*.f64 x x) (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))) |
(* (pow x 2) (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1/6)) |
(*.f64 (*.f64 x x) (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))) |
(* -1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/6 binary64)) |
(* -1 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))) |
(*.f64 (*.f64 x x) (neg.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))) |
(* (pow x 2) (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1/6)) |
(*.f64 (*.f64 x x) (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))) |
(* (pow x 2) (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1/6)) |
(*.f64 (*.f64 x x) (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/6 y)) |
(fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 y)) |
(fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 y)) |
(fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* 1/6 y) |
(*.f64 y #s(literal 1/6 binary64)) |
(* y (+ 1/6 (* 1/2 (/ 1 y)))) |
(fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* y (+ 1/6 (* 1/2 (/ 1 y)))) |
(fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* y (+ 1/6 (* 1/2 (/ 1 y)))) |
(fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* 1/6 y) |
(*.f64 y #s(literal 1/6 binary64)) |
(* y (+ 1/6 (* 1/2 (/ 1 y)))) |
(fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* y (+ 1/6 (* 1/2 (/ 1 y)))) |
(fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* y (+ 1/6 (* 1/2 (/ 1 y)))) |
(fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(/ (pow y 2) (pow x 2)) |
(*.f64 y (/.f64 y (*.f64 x x))) |
(/ (pow y 2) (pow x 2)) |
(*.f64 y (/.f64 y (*.f64 x x))) |
(/ (pow y 2) (pow x 2)) |
(*.f64 y (/.f64 y (*.f64 x x))) |
(/ (pow y 2) (pow x 2)) |
(*.f64 y (/.f64 y (*.f64 x x))) |
(/ (pow y 2) (pow x 2)) |
(*.f64 y (/.f64 y (*.f64 x x))) |
(/ (pow y 2) (pow x 2)) |
(*.f64 y (/.f64 y (*.f64 x x))) |
(/ (pow y 2) (pow x 2)) |
(*.f64 y (/.f64 y (*.f64 x x))) |
(/ (pow y 2) (pow x 2)) |
(*.f64 y (/.f64 y (*.f64 x x))) |
(/ (pow y 2) (pow x 2)) |
(*.f64 y (/.f64 y (*.f64 x x))) |
(/ (pow y 2) (pow x 2)) |
(*.f64 y (/.f64 y (*.f64 x x))) |
(/ (pow y 2) (pow x 2)) |
(*.f64 y (/.f64 y (*.f64 x x))) |
(/ (pow y 2) (pow x 2)) |
(*.f64 y (/.f64 y (*.f64 x x))) |
(/ (pow y 2) (pow x 2)) |
(*.f64 y (/.f64 y (*.f64 x x))) |
(/ (pow y 2) (pow x 2)) |
(*.f64 y (/.f64 y (*.f64 x x))) |
(/ (pow y 2) (pow x 2)) |
(*.f64 y (/.f64 y (*.f64 x x))) |
(/ (pow y 2) (pow x 2)) |
(*.f64 y (/.f64 y (*.f64 x x))) |
(/ (pow y 2) (pow x 2)) |
(*.f64 y (/.f64 y (*.f64 x x))) |
(/ (pow y 2) (pow x 2)) |
(*.f64 y (/.f64 y (*.f64 x x))) |
(/ (pow y 2) (pow x 2)) |
(*.f64 y (/.f64 y (*.f64 x x))) |
(/ (pow y 2) (pow x 2)) |
(*.f64 y (/.f64 y (*.f64 x x))) |
(/ (pow y 2) (pow x 2)) |
(*.f64 y (/.f64 y (*.f64 x x))) |
(/ (pow y 2) (pow x 2)) |
(*.f64 y (/.f64 y (*.f64 x x))) |
(/ (pow y 2) (pow x 2)) |
(*.f64 y (/.f64 y (*.f64 x x))) |
(/ (pow y 2) (pow x 2)) |
(*.f64 y (/.f64 y (*.f64 x x))) |
Compiled 29 125 to 3 765 computations (87.1% saved)
38 alts after pruning (31 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 214 | 20 | 1 234 |
| Fresh | 7 | 11 | 18 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 5 | 5 |
| Total | 1 224 | 38 | 1 262 |
| Status | Accuracy | Program |
|---|---|---|
| 62.8% | (fma.f64 y (fma.f64 y (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) | |
| 63.7% | (/.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) x) | |
| 64.0% | (/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x) | |
| 40.0% | (/.f64 (pow.f64 (/.f64 x y) x) x) | |
| 63.6% | (/.f64 (/.f64 (-.f64 x (*.f64 x y)) x) x) | |
| 5.6% | (/.f64 (/.f64 (*.f64 (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1/3 binary64)) (*.f64 y y)) y) (*.f64 x x)) x) | |
| 4.9% | (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x #s(literal -1/2 binary64) #s(literal -1/3 binary64))) (*.f64 x x)) x) | |
| 8.1% | (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/3 binary64)) (*.f64 x x)) x) | |
| 13.2% | (/.f64 (/.f64 (*.f64 y (*.f64 y (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) x) x) | |
| ✓ | 6.2% | (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) x) x) |
| 62.1% | (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) x) | |
| 39.3% | (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 y x) x)) | |
| ✓ | 62.1% | (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) y)) |
| 40.7% | (/.f64 (-.f64 x (*.f64 x y)) (*.f64 x x)) | |
| ✓ | 57.7% | (/.f64 (-.f64 #s(literal 1 binary64) y) x) |
| 9.7% | (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) x) (/.f64 #s(literal -18 binary64) (*.f64 x y))) (*.f64 y (*.f64 y y))) | |
| 8.7% | (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x))) | |
| 5.9% | (/.f64 (*.f64 y (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1/3 binary64)) (/.f64 (*.f64 y y) (*.f64 x x)))) x) | |
| 3.9% | (/.f64 (*.f64 y (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (/.f64 (*.f64 y y) (*.f64 x x)))) x) | |
| 9.9% | (/.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) x) | |
| 8.5% | (/.f64 (*.f64 y (*.f64 y #s(literal 1/2 binary64))) (*.f64 x x)) | |
| ✓ | 4.4% | (/.f64 (neg.f64 y) x) |
| ✓ | 80.2% | (/.f64 (exp.f64 (neg.f64 y)) x) |
| 10.5% | (/.f64 #s(literal 6 binary64) (*.f64 x (*.f64 y (*.f64 y y)))) | |
| 65.4% | (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 (*.f64 x y) (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) x)) | |
| 65.0% | (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) x) x)) | |
| 62.1% | (/.f64 #s(literal 1 binary64) (fma.f64 x y x)) | |
| 62.7% | (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y)) #s(literal -1 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) x)) | |
| 11.1% | (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) x)) | |
| 65.4% | (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (fma.f64 y (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 y #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) x)) | |
| 64.8% | (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64)) x)) | |
| 65.4% | (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y))) y) x)) | |
| 11.7% | (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x)) | |
| ✓ | 80.2% | (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 y) x)) |
| 7.9% | (/.f64 #s(literal 1 binary64) (*.f64 x y)) | |
| ✓ | 77.3% | (/.f64 #s(literal 1 binary64) x) |
| 4.4% | (/.f64 #s(literal -1 binary64) (/.f64 x y)) | |
| 4.4% | (*.f64 y (/.f64 #s(literal -1 binary64) x)) |
Compiled 1 454 to 584 computations (59.8% saved)
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) x) |
(/.f64 (neg.f64 y) x) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(*.f64 y (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 x y)) |
(/.f64 #s(literal 1 binary64) (fma.f64 x y x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal -1 binary64) (/.f64 x y)) |
(/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x) |
(/.f64 (-.f64 x (*.f64 x y)) (*.f64 x x)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) y)) |
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) x) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 y (*.f64 x x)))) |
(/.f64 #s(literal 6 binary64) (*.f64 x (*.f64 y (*.f64 y y)))) |
(/.f64 (*.f64 y (*.f64 y #s(literal 1/2 binary64))) (*.f64 x x)) |
(/.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) x) |
(/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y (*.f64 y #s(literal 1/2 binary64)) y) x)) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) x) x)) |
(/.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) x) |
(/.f64 (/.f64 (-.f64 x (*.f64 x y)) x) x) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64)) x)) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) x) x) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) x)) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 (*.f64 x y) (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) x)) |
(/.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal -1/3 binary64)))) (*.f64 x (*.f64 x x))) |
(/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x))) |
(/.f64 (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) x) |
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y))) y) x)) |
(/.f64 (/.f64 (*.f64 y (*.f64 y (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) x) x) |
(/.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal -1/3 binary64)))) (*.f64 x x)) x) |
(/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/3 binary64)) (*.f64 x x)) x) |
(/.f64 (fma.f64 y (/.f64 (fma.f64 x (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) x) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x #s(literal -1/2 binary64) #s(literal -1/3 binary64))) (*.f64 x x)) x) |
(/.f64 (/.f64 (fma.f64 x (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 y y))) x) x) |
(/.f64 (+.f64 (/.f64 #s(literal 6 binary64) x) (/.f64 #s(literal -18 binary64) (*.f64 x y))) (*.f64 y (*.f64 y y))) |
(/.f64 (*.f64 y (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (/.f64 (*.f64 y y) (*.f64 x x)))) x) |
(/.f64 (*.f64 y (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1/3 binary64)) (/.f64 (*.f64 y y) (*.f64 x x)))) x) |
(/.f64 (/.f64 (*.f64 (*.f64 y y) (fma.f64 y #s(literal -1/3 binary64) (*.f64 x (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 x x)) x) |
(/.f64 (/.f64 (*.f64 (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1/3 binary64)) (*.f64 y y)) y) (*.f64 x x)) x) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (fma.f64 y (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 y #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) x)) |
(fma.f64 y (fma.f64 y (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) |
(neg.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) (/.f64 (*.f64 y (*.f64 y y)) x))) |
(fma.f64 y (fma.f64 y (fma.f64 (/.f64 y x) #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (/.f64 (fma.f64 x (*.f64 y (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 y (*.f64 y (*.f64 y #s(literal -1/3 binary64))))) (*.f64 x x)) x) |
(fma.f64 y (fma.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (fma.f64 y (/.f64 (fma.f64 x (*.f64 (*.f64 y y) (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64))) (*.f64 y (*.f64 y #s(literal -1/3 binary64)))) (*.f64 x x)) #s(literal 1 binary64)) x) |
(/.f64 (fma.f64 y (fma.f64 y (/.f64 (fma.f64 x (fma.f64 x (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 y #s(literal -1/3 binary64))) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)) x) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y)) #s(literal -1 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) x)) |
(/.f64 (fma.f64 y (/.f64 (fma.f64 x (fma.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 y (*.f64 y #s(literal -1/3 binary64)))) (*.f64 x x)) #s(literal 1 binary64)) x) |
(/.f64 (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))))) #s(literal -1 binary64)) #s(literal 1 binary64)) x) |
(/.f64 (+.f64 (/.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/3 binary64)) (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))) (*.f64 x x)) #s(literal 1 binary64)) x) |
(/.f64 (*.f64 y (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1/3 binary64)) (/.f64 (*.f64 y y) (*.f64 x x)))) x) |
(*.f64 (*.f64 y y) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y y)))))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (fma.f64 y (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) x))) (/.f64 #s(literal -1/2 binary64) x))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (/.f64 (fma.f64 x (fma.f64 y (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (fma.f64 (*.f64 x y) (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) x)) (*.f64 y (*.f64 y (*.f64 y #s(literal -1/3 binary64))))) (*.f64 x x)) x) |
(/.f64 (exp.f64 (neg.f64 y)) x) |
(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 y) x)) |
(/.f64 (pow.f64 (/.f64 x y) x) x) |
(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x) |
(/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 y x) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (+.f64 x y) x) x)) |
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
| Outputs |
|---|
(/.f64 (exp.f64 (neg.f64 y)) x) |
(/.f64 #s(literal 1 binary64) x) |
(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 y) x)) |
3 calls:
| 41.0ms | (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
| 39.0ms | x |
| 34.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 3 | x |
| 84.2% | 2 | y |
| 90.3% | 3 | (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
Compiled 19 to 12 computations (36.8% saved)
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) x) |
(/.f64 (neg.f64 y) x) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(*.f64 y (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 x y)) |
(/.f64 #s(literal 1 binary64) (fma.f64 x y x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal -1 binary64) (/.f64 x y)) |
(/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x) |
(/.f64 (-.f64 x (*.f64 x y)) (*.f64 x x)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) y)) |
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) x) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 y (*.f64 x x)))) |
(/.f64 #s(literal 6 binary64) (*.f64 x (*.f64 y (*.f64 y y)))) |
(/.f64 (*.f64 y (*.f64 y #s(literal 1/2 binary64))) (*.f64 x x)) |
(/.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) x) |
(/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y (*.f64 y #s(literal 1/2 binary64)) y) x)) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) x) x)) |
(/.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) x) |
(/.f64 (/.f64 (-.f64 x (*.f64 x y)) x) x) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64)) x)) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) x) x) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) x)) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 (*.f64 x y) (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) x)) |
(/.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal -1/3 binary64)))) (*.f64 x (*.f64 x x))) |
(/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x))) |
(/.f64 (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) x) |
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y))) y) x)) |
(/.f64 (/.f64 (*.f64 y (*.f64 y (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) x) x) |
(/.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal -1/3 binary64)))) (*.f64 x x)) x) |
(/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/3 binary64)) (*.f64 x x)) x) |
(/.f64 (fma.f64 y (/.f64 (fma.f64 x (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) x) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x #s(literal -1/2 binary64) #s(literal -1/3 binary64))) (*.f64 x x)) x) |
(/.f64 (/.f64 (fma.f64 x (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 y y))) x) x) |
(/.f64 (+.f64 (/.f64 #s(literal 6 binary64) x) (/.f64 #s(literal -18 binary64) (*.f64 x y))) (*.f64 y (*.f64 y y))) |
(/.f64 (*.f64 y (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (/.f64 (*.f64 y y) (*.f64 x x)))) x) |
(/.f64 (*.f64 y (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1/3 binary64)) (/.f64 (*.f64 y y) (*.f64 x x)))) x) |
(/.f64 (/.f64 (*.f64 (*.f64 y y) (fma.f64 y #s(literal -1/3 binary64) (*.f64 x (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 x x)) x) |
(/.f64 (/.f64 (*.f64 (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1/3 binary64)) (*.f64 y y)) y) (*.f64 x x)) x) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (fma.f64 y (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 y #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) x)) |
(fma.f64 y (fma.f64 y (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) |
(neg.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) (/.f64 (*.f64 y (*.f64 y y)) x))) |
(fma.f64 y (fma.f64 y (fma.f64 (/.f64 y x) #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (/.f64 (fma.f64 x (*.f64 y (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 y (*.f64 y (*.f64 y #s(literal -1/3 binary64))))) (*.f64 x x)) x) |
(fma.f64 y (fma.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (fma.f64 y (/.f64 (fma.f64 x (*.f64 (*.f64 y y) (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64))) (*.f64 y (*.f64 y #s(literal -1/3 binary64)))) (*.f64 x x)) #s(literal 1 binary64)) x) |
(/.f64 (fma.f64 y (fma.f64 y (/.f64 (fma.f64 x (fma.f64 x (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 y #s(literal -1/3 binary64))) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)) x) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y)) #s(literal -1 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) x)) |
(/.f64 (fma.f64 y (/.f64 (fma.f64 x (fma.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 y (*.f64 y #s(literal -1/3 binary64)))) (*.f64 x x)) #s(literal 1 binary64)) x) |
(/.f64 (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))))) #s(literal -1 binary64)) #s(literal 1 binary64)) x) |
(/.f64 (+.f64 (/.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/3 binary64)) (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))) (*.f64 x x)) #s(literal 1 binary64)) x) |
(/.f64 (*.f64 y (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1/3 binary64)) (/.f64 (*.f64 y y) (*.f64 x x)))) x) |
(*.f64 (*.f64 y y) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y y)))))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (fma.f64 y (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) x))) (/.f64 #s(literal -1/2 binary64) x))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (/.f64 (fma.f64 x (fma.f64 y (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (fma.f64 (*.f64 x y) (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) x)) (*.f64 y (*.f64 y (*.f64 y #s(literal -1/3 binary64))))) (*.f64 x x)) x) |
(/.f64 (exp.f64 (neg.f64 y)) x) |
| Outputs |
|---|
(/.f64 (exp.f64 (neg.f64 y)) x) |
(/.f64 #s(literal 1 binary64) x) |
(/.f64 (exp.f64 (neg.f64 y)) x) |
1 calls:
| 17.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 3 | x |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) x) |
(/.f64 (neg.f64 y) x) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(*.f64 y (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 x y)) |
(/.f64 #s(literal 1 binary64) (fma.f64 x y x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal -1 binary64) (/.f64 x y)) |
(/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x) |
(/.f64 (-.f64 x (*.f64 x y)) (*.f64 x x)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) y)) |
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) x) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 y (*.f64 x x)))) |
(/.f64 #s(literal 6 binary64) (*.f64 x (*.f64 y (*.f64 y y)))) |
(/.f64 (*.f64 y (*.f64 y #s(literal 1/2 binary64))) (*.f64 x x)) |
(/.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) x) |
(/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y (*.f64 y #s(literal 1/2 binary64)) y) x)) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) x) x)) |
(/.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) x) |
(/.f64 (/.f64 (-.f64 x (*.f64 x y)) x) x) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64)) x)) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) x) x) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) x)) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 (*.f64 x y) (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) x)) |
(/.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal -1/3 binary64)))) (*.f64 x (*.f64 x x))) |
(/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x))) |
(/.f64 (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) x) |
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y))) y) x)) |
(/.f64 (/.f64 (*.f64 y (*.f64 y (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) x) x) |
(/.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal -1/3 binary64)))) (*.f64 x x)) x) |
(/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/3 binary64)) (*.f64 x x)) x) |
(/.f64 (fma.f64 y (/.f64 (fma.f64 x (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) x) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x #s(literal -1/2 binary64) #s(literal -1/3 binary64))) (*.f64 x x)) x) |
(/.f64 (/.f64 (fma.f64 x (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 y y))) x) x) |
(/.f64 (+.f64 (/.f64 #s(literal 6 binary64) x) (/.f64 #s(literal -18 binary64) (*.f64 x y))) (*.f64 y (*.f64 y y))) |
(/.f64 (*.f64 y (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (/.f64 (*.f64 y y) (*.f64 x x)))) x) |
(/.f64 (*.f64 y (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1/3 binary64)) (/.f64 (*.f64 y y) (*.f64 x x)))) x) |
(/.f64 (/.f64 (*.f64 (*.f64 y y) (fma.f64 y #s(literal -1/3 binary64) (*.f64 x (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 x x)) x) |
(/.f64 (/.f64 (*.f64 (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1/3 binary64)) (*.f64 y y)) y) (*.f64 x x)) x) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (fma.f64 y (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 y #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) x)) |
(fma.f64 y (fma.f64 y (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) |
(neg.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) (/.f64 (*.f64 y (*.f64 y y)) x))) |
(fma.f64 y (fma.f64 y (fma.f64 (/.f64 y x) #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (/.f64 (fma.f64 x (*.f64 y (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 y (*.f64 y (*.f64 y #s(literal -1/3 binary64))))) (*.f64 x x)) x) |
(fma.f64 y (fma.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (fma.f64 y (/.f64 (fma.f64 x (*.f64 (*.f64 y y) (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64))) (*.f64 y (*.f64 y #s(literal -1/3 binary64)))) (*.f64 x x)) #s(literal 1 binary64)) x) |
(/.f64 (fma.f64 y (fma.f64 y (/.f64 (fma.f64 x (fma.f64 x (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 y #s(literal -1/3 binary64))) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)) x) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y)) #s(literal -1 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) x)) |
(/.f64 (fma.f64 y (/.f64 (fma.f64 x (fma.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 y (*.f64 y #s(literal -1/3 binary64)))) (*.f64 x x)) #s(literal 1 binary64)) x) |
(/.f64 (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))))) #s(literal -1 binary64)) #s(literal 1 binary64)) x) |
(/.f64 (+.f64 (/.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/3 binary64)) (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))) (*.f64 x x)) #s(literal 1 binary64)) x) |
(/.f64 (*.f64 y (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1/3 binary64)) (/.f64 (*.f64 y y) (*.f64 x x)))) x) |
(*.f64 (*.f64 y y) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y y)))))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (fma.f64 y (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) x))) (/.f64 #s(literal -1/2 binary64) x))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (/.f64 (fma.f64 x (fma.f64 y (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (fma.f64 (*.f64 x y) (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) x)) (*.f64 y (*.f64 y (*.f64 y #s(literal -1/3 binary64))))) (*.f64 x x)) x) |
| Outputs |
|---|
(/.f64 (fma.f64 y (/.f64 (fma.f64 x (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) x) |
(/.f64 #s(literal 1 binary64) x) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) x)) |
2 calls:
| 19.0ms | x |
| 16.0ms | (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.9% | 3 | (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
| 87.8% | 3 | x |
Compiled 16 to 10 computations (37.5% saved)
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) x) |
(/.f64 (neg.f64 y) x) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(*.f64 y (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 x y)) |
(/.f64 #s(literal 1 binary64) (fma.f64 x y x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal -1 binary64) (/.f64 x y)) |
(/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x) |
(/.f64 (-.f64 x (*.f64 x y)) (*.f64 x x)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) y)) |
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) x) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 y (*.f64 x x)))) |
(/.f64 #s(literal 6 binary64) (*.f64 x (*.f64 y (*.f64 y y)))) |
(/.f64 (*.f64 y (*.f64 y #s(literal 1/2 binary64))) (*.f64 x x)) |
(/.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) x) |
(/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y (*.f64 y #s(literal 1/2 binary64)) y) x)) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) x) x)) |
(/.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) x) |
(/.f64 (/.f64 (-.f64 x (*.f64 x y)) x) x) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64)) x)) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) x) x) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) x)) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 (*.f64 x y) (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) x)) |
(/.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal -1/3 binary64)))) (*.f64 x (*.f64 x x))) |
(/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x))) |
(/.f64 (fma.f64 y (fma.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) x) |
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 y y))) y) x)) |
(/.f64 (/.f64 (*.f64 y (*.f64 y (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) x) x) |
(/.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal -1/3 binary64)))) (*.f64 x x)) x) |
(/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/3 binary64)) (*.f64 x x)) x) |
| Outputs |
|---|
(/.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) x) |
(/.f64 #s(literal 1 binary64) x) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) x)) |
1 calls:
| 11.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.4% | 3 | x |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) x) |
(/.f64 (neg.f64 y) x) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(*.f64 y (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 x y)) |
(/.f64 #s(literal 1 binary64) (fma.f64 x y x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal -1 binary64) (/.f64 x y)) |
(/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x) |
(/.f64 (-.f64 x (*.f64 x y)) (*.f64 x x)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) y)) |
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) x) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 y (*.f64 x x)))) |
(/.f64 #s(literal 6 binary64) (*.f64 x (*.f64 y (*.f64 y y)))) |
(/.f64 (*.f64 y (*.f64 y #s(literal 1/2 binary64))) (*.f64 x x)) |
(/.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) x) |
(/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y (*.f64 y #s(literal 1/2 binary64)) y) x)) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) x) x)) |
(/.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) x) |
(/.f64 (/.f64 (-.f64 x (*.f64 x y)) x) x) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64)) x)) |
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) x) x) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) x)) |
| Outputs |
|---|
(/.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) x) |
(/.f64 #s(literal 1 binary64) x) |
(/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y (*.f64 y #s(literal 1/2 binary64)) y) x)) |
1 calls:
| 7.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.1% | 3 | x |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) x) |
(/.f64 (neg.f64 y) x) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(*.f64 y (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 x y)) |
(/.f64 #s(literal 1 binary64) (fma.f64 x y x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal -1 binary64) (/.f64 x y)) |
(/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x) |
(/.f64 (-.f64 x (*.f64 x y)) (*.f64 x x)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) y)) |
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) x) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 y (*.f64 x x)))) |
(/.f64 #s(literal 6 binary64) (*.f64 x (*.f64 y (*.f64 y y)))) |
(/.f64 (*.f64 y (*.f64 y #s(literal 1/2 binary64))) (*.f64 x x)) |
(/.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) x) |
(/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y (*.f64 y #s(literal 1/2 binary64)) y) x)) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) x) x)) |
| Outputs |
|---|
(/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x) |
(/.f64 #s(literal 1 binary64) x) |
(/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y (*.f64 y #s(literal 1/2 binary64)) y) x)) |
1 calls:
| 7.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.7% | 3 | x |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) x) |
(/.f64 (neg.f64 y) x) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(*.f64 y (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 x y)) |
(/.f64 #s(literal 1 binary64) (fma.f64 x y x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal -1 binary64) (/.f64 x y)) |
(/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x) |
(/.f64 (-.f64 x (*.f64 x y)) (*.f64 x x)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) y)) |
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) x) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 y (*.f64 x x)))) |
(/.f64 #s(literal 6 binary64) (*.f64 x (*.f64 y (*.f64 y y)))) |
(/.f64 (*.f64 y (*.f64 y #s(literal 1/2 binary64))) (*.f64 x x)) |
(/.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) x) |
| Outputs |
|---|
(/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x) |
(/.f64 #s(literal 1 binary64) x) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) y)) |
2 calls:
| 37.0ms | y |
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.6% | 3 | y |
| 84.8% | 3 | x |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) x) |
(/.f64 (neg.f64 y) x) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(*.f64 y (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 x y)) |
(/.f64 #s(literal 1 binary64) (fma.f64 x y x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal -1 binary64) (/.f64 x y)) |
(/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x) |
(/.f64 (-.f64 x (*.f64 x y)) (*.f64 x x)) |
| Outputs |
|---|
(/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x) |
(/.f64 #s(literal 1 binary64) x) |
(/.f64 #s(literal 1 binary64) (fma.f64 x y x)) |
1 calls:
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.7% | 3 | x |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) x) |
(/.f64 (neg.f64 y) x) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(*.f64 y (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 x y)) |
(/.f64 #s(literal 1 binary64) (fma.f64 x y x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal -1 binary64) (/.f64 x y)) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (fma.f64 x y x)) |
(/.f64 #s(literal 1 binary64) x) |
(/.f64 #s(literal 1 binary64) (fma.f64 x y x)) |
1 calls:
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.0% | 3 | x |
Compiled 3 to 2 computations (33.3% saved)
Total -48.2b remaining (-331.3%)
Threshold costs -48.2b (-331.3%)
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) x) |
(/.f64 (neg.f64 y) x) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(*.f64 y (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 x y)) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) x) |
3 calls:
| 3.0ms | (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
| 2.0ms | x |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.3% | 1 | y |
| 77.3% | 1 | (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
| 77.3% | 1 | x |
Compiled 19 to 12 computations (36.8% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 24.0ms | 7.303696095041517e-30 | 2.2141549394860745e-18 |
| 31.0ms | -1.9693114905024774e+24 | -13945518119766520.0 |
| 18.0ms | 92× | 1 | valid |
| 15.0ms | 212× | 0 | valid |
| 8.0ms | 78× | 0 | invalid |
Compiled 292 to 232 computations (20.5% saved)
ival-log: 10.0ms (35.4% of total)ival-div: 7.0ms (24.8% of total)ival-exp: 4.0ms (14.2% of total)ival-add: 3.0ms (10.6% of total)ival-mult: 3.0ms (10.6% of total)adjust: 1.0ms (3.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 7.303696095041517e-30 | 2.2141549394860745e-18 |
| 1.0ms | -1.9693114905024774e+24 | -13945518119766520.0 |
Compiled 282 to 222 computations (21.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 7.303696095041517e-30 | 2.2141549394860745e-18 |
| 1.0ms | -1.9693114905024774e+24 | -13945518119766520.0 |
Compiled 471 to 326 computations (30.8% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 7.303696095041517e-30 | 2.2141549394860745e-18 |
| 14.0ms | -1.9693114905024774e+24 | -13945518119766520.0 |
Compiled 435 to 317 computations (27.1% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 7.303696095041517e-30 | 2.2141549394860745e-18 |
| 1.0ms | -1.9693114905024774e+24 | -13945518119766520.0 |
Compiled 405 to 297 computations (26.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 7.303696095041517e-30 | 2.2141549394860745e-18 |
| 1.0ms | -1.9693114905024774e+24 | -13945518119766520.0 |
Compiled 378 to 279 computations (26.2% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 7.303696095041517e-30 | 2.2141549394860745e-18 |
| 1.0ms | -1.9693114905024774e+24 | -13945518119766520.0 |
Compiled 338 to 259 computations (23.4% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 7.303696095041517e-30 | 2.2141549394860745e-18 |
| 1.0ms | -1.9693114905024774e+24 | -13945518119766520.0 |
Compiled 328 to 249 computations (24.1% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 7.303696095041517e-30 | 2.2141549394860745e-18 |
| 52.0ms | -1.8933422683973265e+164 | -6.111855638315975e+157 |
| 44.0ms | 126× | 1 | valid |
| 2.0ms | 18× | 0 | valid |
| 1.0ms | 10× | 0 | invalid |
Compiled 301 to 222 computations (26.2% saved)
ival-log: 29.0ms (70.7% of total)ival-div: 4.0ms (9.7% of total)ival-exp: 2.0ms (4.9% of total)ival-add: 2.0ms (4.9% of total)ival-mult: 2.0ms (4.9% of total)adjust: 1.0ms (2.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
| 8× | *-commutative_binary64 |
| 4× | +-commutative_binary64 |
| 2× | sub-neg_binary64 |
| 2× | 1-exp_binary64 |
| 2× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 265 |
| 1 | 68 | 265 |
| 2 | 70 | 265 |
| 3 | 71 | 265 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 x #s(literal -14000000000000000 binary64)) (/.f64 (exp.f64 (neg.f64 y)) x) (if (<=.f64 x #s(literal 2855763272194155/1298074214633706907132624082305024 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 y) x)))) |
(if (<=.f64 x #s(literal -14000000000000000 binary64)) (/.f64 (exp.f64 (neg.f64 y)) x) (if (<=.f64 x #s(literal 2855763272194155/1298074214633706907132624082305024 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 (exp.f64 (neg.f64 y)) x))) |
(if (<=.f64 x #s(literal -14000000000000000 binary64)) (/.f64 (fma.f64 y (/.f64 (fma.f64 x (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) x) (if (<=.f64 x #s(literal 2855763272194155/1298074214633706907132624082305024 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) x)))) |
(if (<=.f64 x #s(literal -14000000000000000 binary64)) (/.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) x) (if (<=.f64 x #s(literal 2855763272194155/1298074214633706907132624082305024 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) x)))) |
(if (<=.f64 x #s(literal -14000000000000000 binary64)) (/.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) x) (if (<=.f64 x #s(literal 2855763272194155/1298074214633706907132624082305024 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y (*.f64 y #s(literal 1/2 binary64)) y) x)))) |
(if (<=.f64 x #s(literal -14000000000000000 binary64)) (/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x) (if (<=.f64 x #s(literal 2855763272194155/1298074214633706907132624082305024 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y (*.f64 y #s(literal 1/2 binary64)) y) x)))) |
(if (<=.f64 x #s(literal -14000000000000000 binary64)) (/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x) (if (<=.f64 x #s(literal 2855763272194155/1298074214633706907132624082305024 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) y)))) |
(if (<=.f64 x #s(literal -14000000000000000 binary64)) (/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x) (if (<=.f64 x #s(literal 2855763272194155/1298074214633706907132624082305024 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 x y x)))) |
(if (<=.f64 x #s(literal -1200000000000000045295071897873778644793963815384347723197039057442115223650465252605701367035851485741634333184364748141173187574704698388117853989512017443028992 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x y x)) (if (<=.f64 x #s(literal 2855763272194155/1298074214633706907132624082305024 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 x y x)))) |
(/.f64 #s(literal 1 binary64) x) |
| Outputs |
|---|
(if (<=.f64 x #s(literal -14000000000000000 binary64)) (/.f64 (exp.f64 (neg.f64 y)) x) (if (<=.f64 x #s(literal 2855763272194155/1298074214633706907132624082305024 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 y) x)))) |
(if (<=.f64 x #s(literal -14000000000000000 binary64)) (/.f64 (exp.f64 (neg.f64 y)) x) (if (<=.f64 x #s(literal 2855763272194155/1298074214633706907132624082305024 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x (exp.f64 y))))) |
(if (<=.f64 x #s(literal -14000000000000000 binary64)) (/.f64 (exp.f64 (neg.f64 y)) x) (if (<=.f64 x #s(literal 2855763272194155/1298074214633706907132624082305024 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 (exp.f64 (neg.f64 y)) x))) |
(if (<=.f64 x #s(literal -14000000000000000 binary64)) (/.f64 (fma.f64 y (/.f64 (fma.f64 x (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) x) (if (<=.f64 x #s(literal 2855763272194155/1298074214633706907132624082305024 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) x)))) |
(if (<=.f64 x #s(literal -14000000000000000 binary64)) (/.f64 (fma.f64 y (/.f64 (fma.f64 x (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) x) (if (<=.f64 x #s(literal 2855763272194155/1298074214633706907132624082305024 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))) |
(if (<=.f64 x #s(literal -14000000000000000 binary64)) (/.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) x) (if (<=.f64 x #s(literal 2855763272194155/1298074214633706907132624082305024 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) x)))) |
(if (<=.f64 x #s(literal -14000000000000000 binary64)) (/.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) x) (if (<=.f64 x #s(literal 2855763272194155/1298074214633706907132624082305024 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))) |
(if (<=.f64 x #s(literal -14000000000000000 binary64)) (/.f64 (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) x) (if (<=.f64 x #s(literal 2855763272194155/1298074214633706907132624082305024 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y (*.f64 y #s(literal 1/2 binary64)) y) x)))) |
(if (<=.f64 x #s(literal -14000000000000000 binary64)) (/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x) (if (<=.f64 x #s(literal 2855763272194155/1298074214633706907132624082305024 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y (*.f64 y #s(literal 1/2 binary64)) y) x)))) |
(if (<=.f64 x #s(literal -14000000000000000 binary64)) (/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x) (if (<=.f64 x #s(literal 2855763272194155/1298074214633706907132624082305024 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) y)))) |
(if (<=.f64 x #s(literal -14000000000000000 binary64)) (/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x) (if (<=.f64 x #s(literal 2855763272194155/1298074214633706907132624082305024 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 y #s(literal 1 binary64))))) |
(if (<=.f64 x #s(literal -14000000000000000 binary64)) (/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x) (if (<=.f64 x #s(literal 2855763272194155/1298074214633706907132624082305024 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 x y x)))) |
(if (<=.f64 x #s(literal -1200000000000000045295071897873778644793963815384347723197039057442115223650465252605701367035851485741634333184364748141173187574704698388117853989512017443028992 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x y x)) (if (<=.f64 x #s(literal 2855763272194155/1298074214633706907132624082305024 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 x y x)))) |
(/.f64 #s(literal 1 binary64) x) |
| 17 322× | lower-fma.f64 |
| 17 322× | lower-fma.f32 |
| 9 578× | lower-fma.f64 |
| 9 578× | lower-fma.f32 |
| 9 292× | lower-fma.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 199 |
| 0 | 57 | 199 |
| 1 | 281 | 198 |
| 2 | 2603 | 197 |
| 0 | 8790 | 191 |
| 0 | 8 | 39 |
| 0 | 14 | 39 |
| 1 | 48 | 35 |
| 2 | 276 | 35 |
| 3 | 2526 | 35 |
| 0 | 8637 | 35 |
| 0 | 554 | 3180 |
| 1 | 1674 | 2655 |
| 2 | 5673 | 2574 |
| 0 | 8288 | 2445 |
| 0 | 392 | 4520 |
| 1 | 1236 | 4388 |
| 2 | 4274 | 4238 |
| 0 | 8644 | 3897 |
| 0 | 762 | 6624 |
| 1 | 2399 | 6220 |
| 0 | 8150 | 5830 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 650 to 330 computations (49.2% saved)
Compiled 652 to 176 computations (73% saved)
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