
Time bar (total: 11.0s)
| 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 | 3 760× | 1 | valid |
| 489.0ms | 4 496× | 0 | valid |
| 17.0ms | 261× | 0 | invalid |
ival-log: 674.0ms (53.8% of total)ival-div: 267.0ms (21.3% of total)ival-exp: 101.0ms (8.1% of total)ival-mult: 74.0ms (5.9% of total)ival-add: 73.0ms (5.8% of total)adjust: 53.0ms (4.2% of total)ival-true: 6.0ms (0.5% of total)ival-assert: 3.0ms (0.2% 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 |
| 1 | 12 | 9 |
| 2 | 15 | 9 |
| 3 | 15 | 9 |
| 0 | 15 | 9 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(/ (exp (* x (log (/ x (+ x y))))) x) |
| Outputs |
|---|
(/ (exp (* x (log (/ x (+ x y))))) x) |
(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 152 | 35 | (-3.4166953432420733e+295 5.5531378101876135e-129) | 3 | (2.469007508848452e-298 2.2898877934101983e+23) | (log.f64 (/.f64 x (+.f64 x y))) |
| 35 | 0 | - | 3 | (1.321149132722588e+24 8.138101465860526e-299) | (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))) |
| 1 | 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 | 163 | 0 |
*.f64 | (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))) | n*u | 32 | 0 |
log.f64 | (log.f64 (/.f64 x (+.f64 x y))) | uflow-rescue | 21 | 0 |
| ↳ | (log.f64 (/.f64 x (+.f64 x y))) | underflow | 32 | |
| ↳ | (/.f64 x (+.f64 x y)) | underflow | 21 | |
exp.f64 | (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) | sensitivity | 1 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 66 | 0 |
| - | 119 | 71 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 66 | 0 | 0 |
| - | 119 | 0 | 71 |
| number | freq |
|---|---|
| 0 | 71 |
| 1 | 153 |
| 2 | 32 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 62.0ms | 248× | 1 | valid |
| 37.0ms | 70× | 2 | valid |
| 20.0ms | 194× | 0 | valid |
Compiled 118 to 36 computations (69.5% saved)
ival-log: 43.0ms (52% of total)ival-div: 13.0ms (15.7% of total)ival-exp: 8.0ms (9.7% of total)ival-mult: 8.0ms (9.7% of total)ival-add: 5.0ms (6% of total)adjust: 5.0ms (6% 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 |
|---|---|---|
| ▶ | 76.3% | (/.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× | exp-lowering-exp.f32 |
| 6× | exp-lowering-exp.f64 |
| 4× | pow-lowering-pow.f64 |
| 4× | pow-lowering-pow.f32 |
| 4× | +-lowering-+.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 44 |
| 1 | 12 | 40 |
| 2 | 15 | 40 |
| 3 | 15 | 40 |
| 0 | 15 | 40 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ (exp (* x (log (/ x (+ x y))))) x) |
(exp (* x (log (/ x (+ x y))))) |
(* x (log (/ x (+ x y)))) |
x |
(log (/ x (+ x y))) |
(/ x (+ x y)) |
(+ x y) |
y |
| Outputs |
|---|
(/ (exp (* x (log (/ x (+ x y))))) x) |
(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x) |
(exp (* x (log (/ x (+ x y))))) |
(pow.f64 (/.f64 x (+.f64 x y)) x) |
(* x (log (/ x (+ x y)))) |
(*.f64 x (log.f64 (/.f64 x (+.f64 x y)))) |
x |
(log (/ x (+ x y))) |
(log.f64 (/.f64 x (+.f64 x y))) |
(/ x (+ x y)) |
(/.f64 x (+.f64 x y)) |
(+ 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% | (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) |
| ✓ | accuracy | 87.2% | (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))) |
| ✓ | accuracy | 45.2% | (log.f64 (/.f64 x (+.f64 x y))) |
| 61.0ms | 124× | 1 | valid |
| 17.0ms | 35× | 2 | valid |
| 8.0ms | 97× | 0 | valid |
Compiled 46 to 10 computations (78.3% saved)
ival-log: 54.0ms (75.1% of total)ival-div: 7.0ms (9.7% of total)ival-add: 3.0ms (4.2% of total)ival-exp: 3.0ms (4.2% of total)ival-mult: 3.0ms (4.2% of total)adjust: 2.0ms (2.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (exp (* x (log (/ x (+ x y)))))> |
#<alt (/ (exp (* x (log (/ x (+ x y))))) x)> |
#<alt (* x (log (/ x (+ x y))))> |
#<alt (log (/ x (+ x y)))> |
#<alt (/ x (+ 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 | |
|---|---|---|---|---|
| 4.0ms | y | @ | inf | (exp (* x (log (/ x (+ x y))))) |
| 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 | x | @ | -inf | (/ (exp (* x (log (/ x (+ x y))))) x) |
| 1× | batch-egg-rewrite |
| 4 200× | /-lowering-/.f32 |
| 4 200× | /-lowering-/.f64 |
| 3 466× | *-lowering-*.f32 |
| 3 466× | *-lowering-*.f64 |
| 1 982× | pow-lowering-pow.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 39 |
| 1 | 42 | 35 |
| 2 | 270 | 35 |
| 3 | 2522 | 35 |
| 0 | 8630 | 35 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(exp (* x (log (/ x (+ x y))))) |
(/ (exp (* x (log (/ x (+ x y))))) x) |
(* x (log (/ x (+ x y)))) |
(log (/ x (+ x y))) |
(/ x (+ x y)) |
| Outputs |
|---|
(exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) |
(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 (log.f64 (pow.f64 (/.f64 (+.f64 x y) x) x)) #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 (*.f64 (neg.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) #s(literal -1 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 (neg.f64 (exp.f64 (*.f64 x (log.f64 x))))) (neg.f64 (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)))))) |
(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 x y) (*.f64 x (-.f64 x y))) (neg.f64 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 (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 y (-.f64 y x) (*.f64 x x)) x)) |
(*.f64 (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) 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 y (-.f64 y x) (*.f64 x x)) (neg.f64 x)) (pow.f64 (/.f64 (+.f64 x y) (*.f64 x (fma.f64 y (-.f64 y x) (*.f64 x x)))) (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 y (-.f64 y x) (*.f64 x x)))))) |
(*.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 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 x y))) x) (pow.f64 (*.f64 x (-.f64 x y)) 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 y (-.f64 y x) (*.f64 x x))) x)) |
(*.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 (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 y (-.f64 y x) (*.f64 x x)) 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 x (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) x) (pow.f64 (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x))) x)) |
(*.f64 (pow.f64 (/.f64 x (*.f64 (-.f64 (neg.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 y (-.f64 y x) (*.f64 x x)))) (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 y (-.f64 y x) (*.f64 x x))) 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 y (-.f64 y x) (*.f64 x x)) x) (neg.f64 x)) (pow.f64 (/.f64 (+.f64 x y) (fma.f64 y (-.f64 y x) (*.f64 x x))) (neg.f64 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)))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (pow.f64 (/.f64 (+.f64 x y) x) x))) #s(literal -1 binary64))) |
(exp.f64 (fma.f64 x (log.f64 (/.f64 x (+.f64 x y))) (neg.f64 (log.f64 x)))) |
(exp.f64 (+.f64 (neg.f64 (log.f64 x)) (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))))) |
(exp.f64 (-.f64 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x))) |
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(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x y))) (*.f64 (-.f64 (neg.f64 x) y) (/.f64 x (*.f64 (-.f64 (neg.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 y (-.f64 y x) (*.f64 x x))))) |
(/.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 x x (*.f64 y (+.f64 x y))) (-.f64 x y)))) (neg.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (fma.f64 x x (*.f64 y (+.f64 x y)))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x))) (+.f64 x y)) |
(/.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 y (-.f64 y x) (*.f64 x x)) (-.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 (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 y (-.f64 y x) (*.f64 x x)) (-.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 x x (*.f64 y (+.f64 x y))) (-.f64 x y)))) (neg.f64 (fma.f64 x x (*.f64 y (+.f64 x y))))) |
(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 y (-.f64 y x) (*.f64 x x)) (/.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 x y) (*.f64 x (-.f64 x y))) #s(literal -1 binary64))) |
(*.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)) (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 y (-.f64 y x) (*.f64 x x))) (pow.f64 (/.f64 (+.f64 x y) (*.f64 x (fma.f64 y (-.f64 y x) (*.f64 x x)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 x (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
(*.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 y (-.f64 y x) (*.f64 x x))))) |
(*.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 y (-.f64 y x) (*.f64 x x)))) |
(*.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 y (-.f64 y x) (*.f64 x x)))) #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 y (-.f64 y x) (*.f64 x x))) 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 y (-.f64 y x) (*.f64 x x))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (+.f64 x y) (-.f64 x y)))) (-.f64 x y)) |
(*.f64 (/.f64 x (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 (neg.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 y (-.f64 y x) (*.f64 x x)) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 x y) (fma.f64 y (-.f64 y x) (*.f64 x x))) #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 y (-.f64 y x) (*.f64 x x))))) |
(*.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× | accelerator-lowering-fma.f32 |
| 9 292× | accelerator-lowering-fma.f64 |
| 5 132× | *-lowering-*.f32 |
| 5 132× | *-lowering-*.f64 |
| 3 222× | +-lowering-+.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) |
(/ (+ 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) |
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(/ (exp (* -1 y)) x) |
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(/ (+ (* -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 2 154 computations (81.2% saved)
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 468 | 10 | 478 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 469 | 10 | 479 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 52.4% | (fma.f64 y (fma.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.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 x)))) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) |
| ▶ | 51.6% | (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)) |
| 61.3% | (/.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) | |
| 55.4% | (/.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) | |
| 75.3% | (/.f64 (pow.f64 (/.f64 (+.f64 x y) x) (neg.f64 x)) x) | |
| 76.4% | (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x) | |
| 58.8% | (/.f64 (-.f64 #s(literal 1 binary64) y) x) | |
| ▶ | 83.3% | (/.f64 (exp.f64 (neg.f64 y)) x) |
| ▶ | 74.8% | (/.f64 #s(literal 1 binary64) x) |
| ▶ | 58.8% | (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)) |
Compiled 306 to 190 computations (37.9% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (fma.f64 y (fma.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.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 x)))) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) |
| ✓ | cost-diff | 128 | (*.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 x)) |
| ✓ | cost-diff | 512 | (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.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 x)))) |
| ✓ | cost-diff | 512 | (fma.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.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 x)))) (/.f64 #s(literal -1 binary64) x)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) x) |
| ✓ | cost-diff | 0 | (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
| ✓ | cost-diff | 0 | (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)) |
| ✓ | cost-diff | 320 | (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)) |
| ✓ | cost-diff | 0 | (/.f64 y x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y 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) |
| 22 176× | accelerator-lowering-fma.f32 |
| 22 176× | accelerator-lowering-fma.f64 |
| 3 902× | *-lowering-*.f32 |
| 3 902× | *-lowering-*.f64 |
| 2 380× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 277 |
| 1 | 87 | 277 |
| 2 | 245 | 277 |
| 3 | 810 | 273 |
| 4 | 2855 | 265 |
| 5 | 6231 | 265 |
| 0 | 8255 | 253 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (exp (neg y)) x) |
(exp (neg y)) |
(neg y) |
y |
x |
(/ 1 x) |
1 |
x |
(- (/ 1 x) (/ y x)) |
(/ 1 x) |
1 |
x |
(/ y x) |
y |
(+ (* y (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x))) (/ 1 x)) |
y |
(+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x)) |
(+ (/ 1/2 x) (/ 1/2 (* x x))) |
(/ 1/2 x) |
1/2 |
x |
(/ 1/2 (* x x)) |
(* x x) |
(/ -1 x) |
-1 |
(/ 1 x) |
1 |
(+ (* y (+ (* y (+ (/ 1/2 (* x x)) (- (/ 1/2 x) (* (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x)))) (/ y x))))) (/ -1 x))) (/ 1 x)) |
y |
(+ (* y (+ (/ 1/2 (* x x)) (- (/ 1/2 x) (* (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x)))) (/ y x))))) (/ -1 x)) |
(+ (/ 1/2 (* x x)) (- (/ 1/2 x) (* (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x)))) (/ y x)))) |
(/ 1/2 (* x x)) |
1/2 |
(* x x) |
x |
(- (/ 1/2 x) (* (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x)))) (/ y x))) |
(/ 1/2 x) |
(* (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x)))) (/ y x)) |
(+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x)))) |
(+ 1/6 (/ 1/3 (* x x))) |
1/6 |
(/ 1/3 (* x x)) |
1/3 |
(/ y x) |
(/ -1 x) |
-1 |
(/ 1 x) |
1 |
| Outputs |
|---|
(/ (exp (neg y)) x) |
(/.f64 (exp.f64 (neg.f64 y)) x) |
(exp (neg y)) |
(exp.f64 (neg.f64 y)) |
(neg y) |
(neg.f64 y) |
y |
x |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
x |
(- (/ 1 x) (/ y x)) |
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
x |
(/ y x) |
(/.f64 y x) |
y |
(+ (* y (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x))) (/ 1 x)) |
(fma.f64 y (fma.f64 (/.f64 y x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) |
y |
(+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x)) |
(fma.f64 (/.f64 y x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal -1 binary64) x)) |
(+ (/ 1/2 x) (/ 1/2 (* x x))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
1/2 |
#s(literal 1/2 binary64) |
x |
(/ 1/2 (* x x)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* x x) |
(*.f64 x x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
-1 |
#s(literal -1 binary64) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
(+ (* y (+ (* y (+ (/ 1/2 (* x x)) (- (/ 1/2 x) (* (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x)))) (/ y x))))) (/ -1 x))) (/ 1 x)) |
(fma.f64 y (fma.f64 (/.f64 y x) (fma.f64 y (+.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 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) |
y |
(+ (* y (+ (/ 1/2 (* x x)) (- (/ 1/2 x) (* (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x)))) (/ y x))))) (/ -1 x)) |
(fma.f64 (/.f64 y x) (fma.f64 y (+.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 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal -1 binary64) x)) |
(+ (/ 1/2 (* x x)) (- (/ 1/2 x) (* (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x)))) (/ y x)))) |
(fma.f64 y (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) #s(literal -1/6 binary64)) x) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) x))) |
(/ 1/2 (* x x)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
1/2 |
#s(literal 1/2 binary64) |
(* x x) |
(*.f64 x x) |
x |
(- (/ 1/2 x) (* (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x)))) (/ y x))) |
(fma.f64 (/.f64 y 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 1/2 binary64) x)) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(* (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x)))) (/ y x)) |
(/.f64 (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))) x) |
(+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* 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))) |
(+ 1/6 (/ 1/3 (* x x))) |
(+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) |
1/6 |
#s(literal 1/6 binary64) |
(/ 1/3 (* x x)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
1/3 |
#s(literal 1/3 binary64) |
(/ y x) |
(/.f64 y x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
-1 |
#s(literal -1 binary64) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 98.2% | (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
| ✓ | accuracy | 98.1% | (fma.f64 y (fma.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.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 x)))) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 94.4% | (fma.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.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 x)))) (/.f64 #s(literal -1 binary64) x)) |
| ✓ | accuracy | 83.7% | (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.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 x)))) |
| ✓ | accuracy | 100.0% | (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
| ✓ | accuracy | 98.5% | (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)) |
| ✓ | accuracy | 98.3% | (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
| ✓ | accuracy | 93.6% | (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)) |
| ✓ | accuracy | 100.0% | (/.f64 y x) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 100.0% | (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y 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) |
| 88.0ms | 256× | 0 | valid |
Compiled 273 to 34 computations (87.5% saved)
ival-div: 12.0ms (27.7% of total)ival-mult: 9.0ms (20.8% of total)const: 9.0ms (20.8% of total)ival-add: 8.0ms (18.5% of total)ival-exp: 2.0ms (4.6% of total)ival-sub: 2.0ms (4.6% of total)ival-neg: 1.0ms (2.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (exp (neg y)) x)> |
#<alt (exp (neg y))> |
#<alt (neg y)> |
#<alt (/ 1 x)> |
#<alt (- (/ 1 x) (/ y x))> |
#<alt (/ y x)> |
#<alt (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x))> |
#<alt (+ (* y (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x))) (/ 1 x))> |
#<alt (+ (/ 1/2 x) (/ 1/2 (* x x)))> |
#<alt (/ 1/2 x)> |
#<alt (+ (* y (+ (/ 1/2 (* x x)) (- (/ 1/2 x) (* (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x)))) (/ y x))))) (/ -1 x))> |
#<alt (+ (/ 1/2 (* x x)) (- (/ 1/2 x) (* (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x)))) (/ y x))))> |
#<alt (* (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x)))) (/ y x))> |
#<alt (+ (* y (+ (* y (+ (/ 1/2 (* x x)) (- (/ 1/2 x) (* (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x)))) (/ y x))))) (/ -1 x))) (/ 1 x))> |
#<alt (/ 1/2 (* x x))> |
#<alt (/ 1/3 (* x x))> |
| 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 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 (* -1 y)) x)> |
#<alt (/ (+ 1 (* -1 y)) x)> |
#<alt (/ (+ 1 (* -1 y)) x)> |
#<alt (/ (+ 1 (* -1 y)) x)> |
#<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 (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ -1 x)> |
#<alt (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))> |
#<alt (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))> |
#<alt (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))> |
#<alt (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* y (- (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))) (/ 1 (* x y))))> |
#<alt (* y (- (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))) (/ 1 (* x y))))> |
#<alt (* y (- (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))) (/ 1 (* x y))))> |
#<alt (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* y (+ (* -1 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 (* x y)))))> |
#<alt (* -1 (* y (+ (* -1 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 (* x y)))))> |
#<alt (* -1 (* y (+ (* -1 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 (* x y)))))> |
#<alt (* 1/2 (/ y (pow x 2)))> |
#<alt (/ (+ (* 1/2 y) (* x (- (* 1/2 y) 1))) (pow x 2))> |
#<alt (/ (+ (* 1/2 y) (* x (- (* 1/2 y) 1))) (pow x 2))> |
#<alt (/ (+ (* 1/2 y) (* x (- (* 1/2 y) 1))) (pow x 2))> |
#<alt (/ (- (* 1/2 y) 1) x)> |
#<alt (/ (- (+ (* 1/2 y) (* 1/2 (/ y x))) 1) x)> |
#<alt (/ (- (+ (* 1/2 y) (* 1/2 (/ y x))) 1) x)> |
#<alt (/ (- (+ (* 1/2 y) (* 1/2 (/ y x))) 1) x)> |
#<alt (* -1 (/ (+ 1 (* -1/2 y)) x))> |
#<alt (* -1 (/ (+ 1 (+ (* -1/2 y) (* -1/2 (/ y x)))) x))> |
#<alt (* -1 (/ (+ 1 (+ (* -1/2 y) (* -1/2 (/ y x)))) x))> |
#<alt (* -1 (/ (+ 1 (+ (* -1/2 y) (* -1/2 (/ y 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 x)) (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow y 2) (- (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))) (/ 1 (* x y))))> |
#<alt (* (pow y 2) (- (+ (* 1/2 (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (* x (pow y 2))))) (/ 1 (* x y))))> |
#<alt (* (pow y 2) (- (+ (* 1/2 (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (* x (pow y 2))))) (/ 1 (* x y))))> |
#<alt (* (pow y 2) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow y 2) (- (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))) (/ 1 (* x y))))> |
#<alt (* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))))> |
#<alt (* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))))> |
#<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 (* -1/2 y))) 1) x))> |
#<alt (* -1 (/ (- (+ (* -1/2 (/ (pow y 2) x)) (* y (+ 1 (* -1/2 y)))) 1) x))> |
#<alt (* -1 (/ (- (+ (* -1/2 (/ (pow y 2) x)) (* y (+ 1 (* -1/2 y)))) 1) x))> |
#<alt (* -1 (/ (- (+ (* -1/2 (/ (pow y 2) x)) (* y (+ 1 (* -1/2 y)))) 1) x))> |
#<alt (/ 1/2 (pow x 2))> |
#<alt (/ (+ 1/2 (* 1/2 x)) (pow x 2))> |
#<alt (/ (+ 1/2 (* 1/2 x)) (pow x 2))> |
#<alt (/ (+ 1/2 (* 1/2 x)) (pow x 2))> |
#<alt (/ 1/2 x)> |
#<alt (/ (+ 1/2 (* 1/2 (/ 1 x))) x)> |
#<alt (/ (+ 1/2 (* 1/2 (/ 1 x))) x)> |
#<alt (/ (+ 1/2 (* 1/2 (/ 1 x))) x)> |
#<alt (/ 1/2 x)> |
#<alt (/ (+ 1/2 (* 1/2 (/ 1 x))) x)> |
#<alt (/ (+ 1/2 (* 1/2 (/ 1 x))) x)> |
#<alt (/ (+ 1/2 (* 1/2 (/ 1 x))) x)> |
#<alt (/ 1/2 x)> |
#<alt (/ 1/2 x)> |
#<alt (/ 1/2 x)> |
#<alt (/ 1/2 x)> |
#<alt (/ 1/2 x)> |
#<alt (/ 1/2 x)> |
#<alt (/ 1/2 x)> |
#<alt (/ 1/2 x)> |
#<alt (/ 1/2 x)> |
#<alt (/ 1/2 x)> |
#<alt (/ 1/2 x)> |
#<alt (/ 1/2 x)> |
#<alt (/ -1 x)> |
#<alt (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))> |
#<alt (- (* y (+ (* -1 (* y (+ (* 1/3 (/ 1 (pow x 3))) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/6 (/ 1 x)))))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) (/ 1 x))> |
#<alt (- (* y (+ (* -1 (* y (+ (* 1/3 (/ 1 (pow x 3))) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/6 (/ 1 x)))))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) (/ 1 x))> |
#<alt (* -1 (* (pow y 2) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2)))))))> |
#<alt (* (pow y 2) (- (+ (/ 1/2 (* x y)) (/ 1/2 (* (pow x 2) y))) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2)))))))> |
#<alt (* (pow y 2) (- (+ (/ 1/2 (* x y)) (/ 1/2 (* (pow x 2) y))) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (* x (pow y 2))))))))> |
#<alt (* (pow y 2) (- (+ (/ 1/2 (* x y)) (/ 1/2 (* (pow x 2) y))) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (* x (pow y 2))))))))> |
#<alt (* -1 (/ (* (pow y 2) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x))> |
#<alt (* (pow y 2) (+ (* -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 2) (+ (* -1 (/ (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))) x)) (* -1 (/ (+ (* -1 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 (* x y))) y))))> |
#<alt (* (pow y 2) (+ (* -1 (/ (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))) x)) (* -1 (/ (+ (* -1 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 (* x y))) y))))> |
#<alt (* -1/3 (/ (pow y 2) (pow x 3)))> |
#<alt (/ (+ (* -1/3 (pow y 2)) (* x (* y (- 1/2 (* 1/2 y))))) (pow x 3))> |
#<alt (/ (+ (* -1/3 (pow y 2)) (* x (+ (* x (- (* y (- 1/2 (* 1/6 y))) 1)) (* y (- 1/2 (* 1/2 y)))))) (pow x 3))> |
#<alt (/ (+ (* -1/3 (pow y 2)) (* x (+ (* x (- (* y (- 1/2 (* 1/6 y))) 1)) (* y (- 1/2 (* 1/2 y)))))) (pow x 3))> |
#<alt (/ (- (* y (- 1/2 (* 1/6 y))) 1) x)> |
#<alt (/ (- (+ (* y (- 1/2 (* 1/6 y))) (/ (* y (- 1/2 (* 1/2 y))) x)) 1) x)> |
#<alt (/ (- (+ (* -1/3 (/ (pow y 2) (pow x 2))) (+ (* y (- 1/2 (* 1/6 y))) (/ (* y (- 1/2 (* 1/2 y))) x))) 1) x)> |
#<alt (/ (- (+ (* -1/3 (/ (pow y 2) (pow x 2))) (+ (* y (- 1/2 (* 1/6 y))) (/ (* y (- 1/2 (* 1/2 y))) x))) 1) x)> |
#<alt (* -1 (/ (+ 1 (* -1 (* y (+ 1/2 (* -1/6 y))))) x))> |
#<alt (* -1 (/ (+ 1 (+ (* -1 (* y (+ 1/2 (* -1/6 y)))) (* -1 (/ (* y (- 1/2 (* 1/2 y))) x)))) x))> |
#<alt (* -1 (/ (+ 1 (+ (* -1 (* y (+ 1/2 (* -1/6 y)))) (* -1 (/ (+ (* -1/3 (/ (pow y 2) x)) (* y (- 1/2 (* 1/2 y)))) x)))) x))> |
#<alt (* -1 (/ (+ 1 (+ (* -1 (* y (+ 1/2 (* -1/6 y)))) (* -1 (/ (+ (* -1/3 (/ (pow y 2) x)) (* y (- 1/2 (* 1/2 y)))) x)))) x))> |
#<alt (* -1/3 (/ y (pow x 3)))> |
#<alt (/ (- (* x (- 1/2 (* 1/2 y))) (* 1/3 y)) (pow x 3))> |
#<alt (/ (- (* x (- (+ 1/2 (* x (- 1/2 (* 1/6 y)))) (* 1/2 y))) (* 1/3 y)) (pow x 3))> |
#<alt (/ (- (* x (- (+ 1/2 (* x (- 1/2 (* 1/6 y)))) (* 1/2 y))) (* 1/3 y)) (pow x 3))> |
#<alt (/ (- 1/2 (* 1/6 y)) x)> |
#<alt (/ (- (+ 1/2 (* 1/2 (/ 1 x))) (+ (* 1/6 y) (* 1/2 (/ y x)))) x)> |
#<alt (/ (- (+ 1/2 (+ (* -1/3 (/ y (pow x 2))) (* 1/2 (/ 1 x)))) (+ (* 1/6 y) (* 1/2 (/ y x)))) x)> |
#<alt (/ (- (+ 1/2 (+ (* -1/3 (/ y (pow x 2))) (* 1/2 (/ 1 x)))) (+ (* 1/6 y) (* 1/2 (/ y x)))) x)> |
#<alt (/ (+ 1/2 (* -1/6 y)) x)> |
#<alt (* -1 (/ (- (* -1 (/ (- 1/2 (* 1/2 y)) x)) (+ 1/2 (* -1/6 y))) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (+ 1/2 (* -1/3 (/ y x))) (* 1/2 y)) x)) (+ 1/2 (* -1/6 y))) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (+ 1/2 (* -1/3 (/ y x))) (* 1/2 y)) x)) (+ 1/2 (* -1/6 y))) x))> |
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))> |
#<alt (+ (* -1 (* y (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2))))))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (+ (* -1 (* y (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2))))))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (+ (* -1 (* y (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2))))))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* y (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2)))))))> |
#<alt (* y (- (+ (/ 1/2 (* x y)) (/ 1/2 (* (pow x 2) y))) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2)))))))> |
#<alt (* y (- (+ (/ 1/2 (* x y)) (/ 1/2 (* (pow x 2) y))) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2)))))))> |
#<alt (* y (- (+ (/ 1/2 (* x y)) (/ 1/2 (* (pow x 2) y))) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2)))))))> |
#<alt (* -1 (/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x))> |
#<alt (* -1 (* y (- (* -1 (/ (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))) y)) (* -1 (/ (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))) x)))))> |
#<alt (* -1 (* y (- (* -1 (/ (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))) y)) (* -1 (/ (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))) x)))))> |
#<alt (* -1 (* y (- (* -1 (/ (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))) y)) (* -1 (/ (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))) x)))))> |
#<alt (* 1/3 (/ y (pow x 3)))> |
#<alt (/ (+ (* 1/3 y) (* 1/2 (* x y))) (pow x 3))> |
#<alt (/ (+ (* 1/3 y) (* x (+ (* 1/6 (* x y)) (* 1/2 y)))) (pow x 3))> |
#<alt (/ (+ (* 1/3 y) (* x (+ (* 1/6 (* x y)) (* 1/2 y)))) (pow x 3))> |
#<alt (* 1/6 (/ y x))> |
#<alt (/ (+ (* 1/6 y) (* 1/2 (/ y x))) x)> |
#<alt (/ (+ (* 1/6 y) (+ (* 1/3 (/ y (pow x 2))) (* 1/2 (/ y x)))) x)> |
#<alt (/ (+ (* 1/6 y) (+ (* 1/3 (/ y (pow x 2))) (* 1/2 (/ y x)))) x)> |
#<alt (* 1/6 (/ y x))> |
#<alt (* -1 (/ (+ (* -1/2 (/ y x)) (* -1/6 y)) x))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* 1/3 (/ y x)) (* 1/2 y)) x)) (* -1/6 y)) x))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* 1/3 (/ y x)) (* 1/2 y)) x)) (* -1/6 y)) x))> |
#<alt (/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)> |
#<alt (/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)> |
#<alt (/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)> |
#<alt (/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)> |
#<alt (/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)> |
#<alt (/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)> |
#<alt (/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)> |
#<alt (/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)> |
#<alt (/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)> |
#<alt (/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)> |
#<alt (/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)> |
#<alt (/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 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 (+ (* 1/3 (/ 1 (pow x 3))) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/6 (/ 1 x)))))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) (/ 1 x))) (/ 1 x))> |
#<alt (* -1 (* (pow y 3) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2)))))))> |
#<alt (* (pow y 3) (- (+ (/ 1/2 (* x y)) (/ 1/2 (* (pow x 2) y))) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2)))))))> |
#<alt (* (pow y 3) (- (+ (/ 1/2 (* x y)) (/ 1/2 (* (pow x 2) y))) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (* x (pow y 2))))))))> |
#<alt (* (pow y 3) (- (+ (/ 1/2 (* x y)) (+ (/ 1/2 (* (pow x 2) y)) (/ 1 (* x (pow y 3))))) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (* x (pow y 2))))))))> |
#<alt (* -1 (* (pow y 3) (+ (* 1/3 (/ 1 (pow x 3))) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/6 (/ 1 x))))))> |
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))) y)) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2))))))))> |
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (- (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))) (/ 1 (* x y))) y)) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2))))))))> |
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) y)) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2))))))))> |
#<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 (+ 1 (* -1 (* y (+ 1/2 (* -1/6 y)))))) 1) x))> |
#<alt (* -1 (/ (- (+ (* -1 (/ (* (pow y 2) (- 1/2 (* 1/2 y))) x)) (* y (+ 1 (* -1 (* y (+ 1/2 (* -1/6 y))))))) 1) x))> |
#<alt (* -1 (/ (- (+ (* -1 (/ (+ (* -1/3 (/ (pow y 3) x)) (* (pow y 2) (- 1/2 (* 1/2 y)))) x)) (* y (+ 1 (* -1 (* y (+ 1/2 (* -1/6 y))))))) 1) x))> |
#<alt (* -1 (/ (- (+ (* -1 (/ (+ (* -1/3 (/ (pow y 3) x)) (* (pow y 2) (- 1/2 (* 1/2 y)))) x)) (* y (+ 1 (* -1 (* y (+ 1/2 (* -1/6 y))))))) 1) x))> |
#<alt (/ 1/2 (pow x 2))> |
#<alt (/ 1/2 (pow x 2))> |
#<alt (/ 1/2 (pow x 2))> |
#<alt (/ 1/2 (pow x 2))> |
#<alt (/ 1/2 (pow x 2))> |
#<alt (/ 1/2 (pow x 2))> |
#<alt (/ 1/2 (pow x 2))> |
#<alt (/ 1/2 (pow x 2))> |
#<alt (/ 1/2 (pow x 2))> |
#<alt (/ 1/2 (pow x 2))> |
#<alt (/ 1/2 (pow x 2))> |
#<alt (/ 1/2 (pow x 2))> |
#<alt (/ 1/3 (pow x 2))> |
#<alt (/ 1/3 (pow x 2))> |
#<alt (/ 1/3 (pow x 2))> |
#<alt (/ 1/3 (pow x 2))> |
#<alt (/ 1/3 (pow x 2))> |
#<alt (/ 1/3 (pow x 2))> |
#<alt (/ 1/3 (pow x 2))> |
#<alt (/ 1/3 (pow x 2))> |
#<alt (/ 1/3 (pow x 2))> |
#<alt (/ 1/3 (pow x 2))> |
#<alt (/ 1/3 (pow x 2))> |
#<alt (/ 1/3 (pow x 2))> |
75 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | x | @ | 0 | (/ 1/2 (* x x)) |
| 2.0ms | x | @ | -inf | (- (/ 1 x) (/ y x)) |
| 2.0ms | y | @ | inf | (- (/ 1 x) (/ y x)) |
| 1.0ms | y | @ | 0 | (* (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x)))) (/ y x)) |
| 1.0ms | y | @ | inf | (+ (/ 1/2 (* x x)) (- (/ 1/2 x) (* (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x)))) (/ y x)))) |
| 1× | batch-egg-rewrite |
| 4 870× | /-lowering-/.f32 |
| 4 870× | /-lowering-/.f64 |
| 2 928× | *-lowering-*.f32 |
| 2 928× | *-lowering-*.f64 |
| 2 784× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 187 |
| 1 | 250 | 177 |
| 2 | 3092 | 177 |
| 0 | 8458 | 163 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (exp (neg y)) x) |
(exp (neg y)) |
(neg y) |
(/ 1 x) |
(- (/ 1 x) (/ y x)) |
(/ y x) |
(+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x)) |
(+ (* y (+ (* y (+ (/ 1/2 x) (/ 1/2 (* x x)))) (/ -1 x))) (/ 1 x)) |
(+ (/ 1/2 x) (/ 1/2 (* x x))) |
(/ 1/2 x) |
(+ (* y (+ (/ 1/2 (* x x)) (- (/ 1/2 x) (* (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x)))) (/ y x))))) (/ -1 x)) |
(+ (/ 1/2 (* x x)) (- (/ 1/2 x) (* (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x)))) (/ y x)))) |
(* (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x)))) (/ y x)) |
(+ (* y (+ (* y (+ (/ 1/2 (* x x)) (- (/ 1/2 x) (* (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x)))) (/ y x))))) (/ -1 x))) (/ 1 x)) |
(/ 1/2 (* x x)) |
(/ 1/3 (* x x)) |
| 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)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (exp.f64 (neg.f64 y)) (neg.f64 x))) |
(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 #s(literal 1 binary64) (neg.f64 (*.f64 (exp.f64 y) (neg.f64 x)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 x (exp.f64 y))))) |
(/.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 #s(literal -1 binary64) (neg.f64 (*.f64 (exp.f64 y) x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x (exp.f64 y)) #s(literal 1 binary64)))) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (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)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (exp.f64 (neg.f64 y))))) (neg.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1 binary64))) (neg.f64 x)) |
(/.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1 binary64))) (neg.f64 (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 (neg.f64 (exp.f64 y)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (exp.f64 y) #s(literal 1 binary64)))) |
(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) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))) (/.f64 (*.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 #s(literal 0 binary64) y)) (/.f64 (*.f64 y 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 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y))) (neg.f64 (+.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)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (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))) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 y x))) |
(+.f64 (neg.f64 (/.f64 y x)) (/.f64 #s(literal 1 binary64) x)) |
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)) |
(-.f64 (/.f64 x (*.f64 x x)) (/.f64 (*.f64 y x) (*.f64 x x))) |
(-.f64 (/.f64 x (*.f64 x x)) (/.f64 (*.f64 (neg.f64 x) y) (*.f64 x (neg.f64 x)))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (fma.f64 (/.f64 y x) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (fma.f64 (/.f64 y x) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) y))) (/.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) y)))) |
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 x (neg.f64 x))) (/.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 x)))) |
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 x y)) (*.f64 x (/.f64 x y))) (/.f64 x (*.f64 x (/.f64 x y)))) |
(-.f64 (/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)) (*.f64 x x)) (/.f64 (*.f64 (neg.f64 x) (neg.f64 y)) (*.f64 x x))) |
(-.f64 (/.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 (neg.f64 x) (/.f64 x y))) (/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) (/.f64 x y)))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x)) (/.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x))) |
(fma.f64 y (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x)) |
(fma.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) 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))) |
(fma.f64 #s(literal -1 binary64) (/.f64 y x) (/.f64 #s(literal 1 binary64) 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) y (/.f64 #s(literal 1 binary64) x)) |
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 (/.f64 y x))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (-.f64 x (*.f64 y x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 y x) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x 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 x) (-.f64 x (*.f64 y x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 y x) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x))))) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(/.f64 (-.f64 x (*.f64 y x)) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) y))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x)) |
(/.f64 (-.f64 #s(literal -1 binary64) (neg.f64 y)) (neg.f64 x)) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 x (neg.f64 y))) (*.f64 x (neg.f64 x))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 x y)) x) (*.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 (-.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 (neg.f64 (-.f64 #s(literal 1 binary64) y)) (neg.f64 x)) |
(/.f64 (neg.f64 (-.f64 x (*.f64 y x))) (*.f64 x (neg.f64 x))) |
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x)))) (neg.f64 (fma.f64 (/.f64 y x) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.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 (/.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 y x))))))) |
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) y)))) |
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x))) |
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(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 y (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.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)))))) x))) (/.f64 (-.f64 #s(literal 1 binary64) y) x)) (fma.f64 y (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.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)))))) x))) (/.f64 (-.f64 (neg.f64 y) #s(literal 1 binary64)) x))))) (neg.f64 (neg.f64 (fma.f64 y (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.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)))))) x))) (/.f64 (-.f64 (neg.f64 y) #s(literal 1 binary64)) x))))) |
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 y (fma.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.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)))))) x)) (/.f64 #s(literal -1 binary64) x))) (*.f64 y (fma.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.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)))))) x)) (/.f64 #s(literal -1 binary64) x)))))) (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (fma.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.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)))))) x)) (/.f64 #s(literal -1 binary64) x)))))) |
(pow.f64 (/.f64 (fma.f64 y (*.f64 (fma.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.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)))))) x)) (/.f64 #s(literal -1 binary64) x)) (*.f64 y (fma.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.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)))))) x)) (/.f64 #s(literal -1 binary64) x)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (fma.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.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)))))) x)) (/.f64 #s(literal -1 binary64) x)))) x)) (+.f64 (pow.f64 (*.f64 y (fma.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.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)))))) x)) (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 y (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.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)))))) x))) (/.f64 (-.f64 (neg.f64 y) #s(literal 1 binary64)) x)) (*.f64 (fma.f64 y (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.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)))))) x))) (/.f64 (-.f64 #s(literal 1 binary64) y) x)) (fma.f64 y (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.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)))))) x))) (/.f64 (-.f64 (neg.f64 y) #s(literal 1 binary64)) x)))) #s(literal -1 binary64)) |
(*.f64 (+.f64 (pow.f64 (*.f64 y (fma.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.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)))))) x)) (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 (fma.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.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)))))) x)) (/.f64 #s(literal -1 binary64) x)) (*.f64 y (fma.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.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)))))) x)) (/.f64 #s(literal -1 binary64) x)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (fma.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.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)))))) x)) (/.f64 #s(literal -1 binary64) x)))) x)))) |
(*.f64 (*.f64 (fma.f64 y (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.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)))))) x))) (/.f64 (-.f64 #s(literal 1 binary64) y) x)) (fma.f64 y (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.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)))))) x))) (/.f64 (-.f64 (neg.f64 y) #s(literal 1 binary64)) x))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.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)))))) x))) (/.f64 (-.f64 (neg.f64 y) #s(literal 1 binary64)) x)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1/2 binary64) x))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 x (*.f64 x #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(/.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 x (neg.f64 x)))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) x) x) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (/.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 #s(literal -1/2 binary64) (*.f64 x (neg.f64 x))) |
(/.f64 #s(literal -1/2 binary64) (neg.f64 (neg.f64 (*.f64 x (neg.f64 x))))) |
(/.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) x)) (neg.f64 x)) |
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) x))) (neg.f64 (neg.f64 x))) |
(pow.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 3 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1/3 binary64) x))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (/.f64 #s(literal 1/3 binary64) x)))) |
(/.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(/.f64 #s(literal 1/3 binary64) (neg.f64 (*.f64 x (neg.f64 x)))) |
(/.f64 #s(literal -1/3 binary64) (*.f64 x (neg.f64 x))) |
(/.f64 #s(literal -1/3 binary64) (neg.f64 (neg.f64 (*.f64 x (neg.f64 x))))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) x) x) |
(/.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) x)) (neg.f64 x)) |
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) x))) (neg.f64 (neg.f64 x))) |
(pow.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x (/.f64 #s(literal 1/3 binary64) x)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/3 binary64) x)) |
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) x) (/.f64 #s(literal 1 binary64) x)) |
| 1× | egg-herbie |
| 18 680× | accelerator-lowering-fma.f32 |
| 18 680× | accelerator-lowering-fma.f64 |
| 4 600× | +-lowering-+.f64 |
| 4 600× | +-lowering-+.f32 |
| 4 542× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 353 | 3746 |
| 1 | 1076 | 3569 |
| 2 | 3654 | 3428 |
| 0 | 8382 | 3220 |
| 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 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 y)) x) |
(/ (+ 1 (* -1 y)) x) |
(/ (+ 1 (* -1 y)) x) |
(/ (+ 1 (* -1 y)) x) |
(/ 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))))) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ -1 x) |
(- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x)) |
(- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x)) |
(- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x)) |
(* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) |
(* y (- (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))) (/ 1 (* x y)))) |
(* y (- (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))) (/ 1 (* x y)))) |
(* y (- (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))) (/ 1 (* x y)))) |
(* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) |
(* -1 (* y (+ (* -1 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 (* x y))))) |
(* -1 (* y (+ (* -1 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 (* x y))))) |
(* -1 (* y (+ (* -1 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 (* x y))))) |
(* 1/2 (/ y (pow x 2))) |
(/ (+ (* 1/2 y) (* x (- (* 1/2 y) 1))) (pow x 2)) |
(/ (+ (* 1/2 y) (* x (- (* 1/2 y) 1))) (pow x 2)) |
(/ (+ (* 1/2 y) (* x (- (* 1/2 y) 1))) (pow x 2)) |
(/ (- (* 1/2 y) 1) x) |
(/ (- (+ (* 1/2 y) (* 1/2 (/ y x))) 1) x) |
(/ (- (+ (* 1/2 y) (* 1/2 (/ y x))) 1) x) |
(/ (- (+ (* 1/2 y) (* 1/2 (/ y x))) 1) x) |
(* -1 (/ (+ 1 (* -1/2 y)) x)) |
(* -1 (/ (+ 1 (+ (* -1/2 y) (* -1/2 (/ y x)))) x)) |
(* -1 (/ (+ 1 (+ (* -1/2 y) (* -1/2 (/ y x)))) x)) |
(* -1 (/ (+ 1 (+ (* -1/2 y) (* -1/2 (/ y 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 x)) (* 1/2 (/ 1 (pow x 2))))) |
(* (pow y 2) (- (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))) (/ 1 (* x y)))) |
(* (pow y 2) (- (+ (* 1/2 (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (* x (pow y 2))))) (/ 1 (* x y)))) |
(* (pow y 2) (- (+ (* 1/2 (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (* x (pow y 2))))) (/ 1 (* x y)))) |
(* (pow y 2) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) |
(* (pow y 2) (- (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))) (/ 1 (* x y)))) |
(* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) |
(* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) |
(* 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 (* -1/2 y))) 1) x)) |
(* -1 (/ (- (+ (* -1/2 (/ (pow y 2) x)) (* y (+ 1 (* -1/2 y)))) 1) x)) |
(* -1 (/ (- (+ (* -1/2 (/ (pow y 2) x)) (* y (+ 1 (* -1/2 y)))) 1) x)) |
(* -1 (/ (- (+ (* -1/2 (/ (pow y 2) x)) (* y (+ 1 (* -1/2 y)))) 1) x)) |
(/ 1/2 (pow x 2)) |
(/ (+ 1/2 (* 1/2 x)) (pow x 2)) |
(/ (+ 1/2 (* 1/2 x)) (pow x 2)) |
(/ (+ 1/2 (* 1/2 x)) (pow x 2)) |
(/ 1/2 x) |
(/ (+ 1/2 (* 1/2 (/ 1 x))) x) |
(/ (+ 1/2 (* 1/2 (/ 1 x))) x) |
(/ (+ 1/2 (* 1/2 (/ 1 x))) x) |
(/ 1/2 x) |
(/ (+ 1/2 (* 1/2 (/ 1 x))) x) |
(/ (+ 1/2 (* 1/2 (/ 1 x))) x) |
(/ (+ 1/2 (* 1/2 (/ 1 x))) x) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ -1 x) |
(- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x)) |
(- (* y (+ (* -1 (* y (+ (* 1/3 (/ 1 (pow x 3))) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/6 (/ 1 x)))))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) (/ 1 x)) |
(- (* y (+ (* -1 (* y (+ (* 1/3 (/ 1 (pow x 3))) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/6 (/ 1 x)))))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) (/ 1 x)) |
(* -1 (* (pow y 2) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2))))))) |
(* (pow y 2) (- (+ (/ 1/2 (* x y)) (/ 1/2 (* (pow x 2) y))) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2))))))) |
(* (pow y 2) (- (+ (/ 1/2 (* x y)) (/ 1/2 (* (pow x 2) y))) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (* x (pow y 2)))))))) |
(* (pow y 2) (- (+ (/ 1/2 (* x y)) (/ 1/2 (* (pow x 2) y))) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (* x (pow y 2)))))))) |
(* -1 (/ (* (pow y 2) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)) |
(* (pow y 2) (+ (* -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 2) (+ (* -1 (/ (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))) x)) (* -1 (/ (+ (* -1 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 (* x y))) y)))) |
(* (pow y 2) (+ (* -1 (/ (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))) x)) (* -1 (/ (+ (* -1 (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 (* x y))) y)))) |
(* -1/3 (/ (pow y 2) (pow x 3))) |
(/ (+ (* -1/3 (pow y 2)) (* x (* y (- 1/2 (* 1/2 y))))) (pow x 3)) |
(/ (+ (* -1/3 (pow y 2)) (* x (+ (* x (- (* y (- 1/2 (* 1/6 y))) 1)) (* y (- 1/2 (* 1/2 y)))))) (pow x 3)) |
(/ (+ (* -1/3 (pow y 2)) (* x (+ (* x (- (* y (- 1/2 (* 1/6 y))) 1)) (* y (- 1/2 (* 1/2 y)))))) (pow x 3)) |
(/ (- (* y (- 1/2 (* 1/6 y))) 1) x) |
(/ (- (+ (* y (- 1/2 (* 1/6 y))) (/ (* y (- 1/2 (* 1/2 y))) x)) 1) x) |
(/ (- (+ (* -1/3 (/ (pow y 2) (pow x 2))) (+ (* y (- 1/2 (* 1/6 y))) (/ (* y (- 1/2 (* 1/2 y))) x))) 1) x) |
(/ (- (+ (* -1/3 (/ (pow y 2) (pow x 2))) (+ (* y (- 1/2 (* 1/6 y))) (/ (* y (- 1/2 (* 1/2 y))) x))) 1) x) |
(* -1 (/ (+ 1 (* -1 (* y (+ 1/2 (* -1/6 y))))) x)) |
(* -1 (/ (+ 1 (+ (* -1 (* y (+ 1/2 (* -1/6 y)))) (* -1 (/ (* y (- 1/2 (* 1/2 y))) x)))) x)) |
(* -1 (/ (+ 1 (+ (* -1 (* y (+ 1/2 (* -1/6 y)))) (* -1 (/ (+ (* -1/3 (/ (pow y 2) x)) (* y (- 1/2 (* 1/2 y)))) x)))) x)) |
(* -1 (/ (+ 1 (+ (* -1 (* y (+ 1/2 (* -1/6 y)))) (* -1 (/ (+ (* -1/3 (/ (pow y 2) x)) (* y (- 1/2 (* 1/2 y)))) x)))) x)) |
(* -1/3 (/ y (pow x 3))) |
(/ (- (* x (- 1/2 (* 1/2 y))) (* 1/3 y)) (pow x 3)) |
(/ (- (* x (- (+ 1/2 (* x (- 1/2 (* 1/6 y)))) (* 1/2 y))) (* 1/3 y)) (pow x 3)) |
(/ (- (* x (- (+ 1/2 (* x (- 1/2 (* 1/6 y)))) (* 1/2 y))) (* 1/3 y)) (pow x 3)) |
(/ (- 1/2 (* 1/6 y)) x) |
(/ (- (+ 1/2 (* 1/2 (/ 1 x))) (+ (* 1/6 y) (* 1/2 (/ y x)))) x) |
(/ (- (+ 1/2 (+ (* -1/3 (/ y (pow x 2))) (* 1/2 (/ 1 x)))) (+ (* 1/6 y) (* 1/2 (/ y x)))) x) |
(/ (- (+ 1/2 (+ (* -1/3 (/ y (pow x 2))) (* 1/2 (/ 1 x)))) (+ (* 1/6 y) (* 1/2 (/ y x)))) x) |
(/ (+ 1/2 (* -1/6 y)) x) |
(* -1 (/ (- (* -1 (/ (- 1/2 (* 1/2 y)) x)) (+ 1/2 (* -1/6 y))) x)) |
(* -1 (/ (- (* -1 (/ (- (+ 1/2 (* -1/3 (/ y x))) (* 1/2 y)) x)) (+ 1/2 (* -1/6 y))) x)) |
(* -1 (/ (- (* -1 (/ (- (+ 1/2 (* -1/3 (/ y x))) (* 1/2 y)) x)) (+ 1/2 (* -1/6 y))) x)) |
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))) |
(+ (* -1 (* y (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2))))))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) |
(+ (* -1 (* y (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2))))))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) |
(+ (* -1 (* y (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2))))))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) |
(* -1 (* y (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2))))))) |
(* y (- (+ (/ 1/2 (* x y)) (/ 1/2 (* (pow x 2) y))) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2))))))) |
(* y (- (+ (/ 1/2 (* x y)) (/ 1/2 (* (pow x 2) y))) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2))))))) |
(* y (- (+ (/ 1/2 (* x y)) (/ 1/2 (* (pow x 2) y))) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2))))))) |
(* -1 (/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)) |
(* -1 (* y (- (* -1 (/ (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))) y)) (* -1 (/ (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))) x))))) |
(* -1 (* y (- (* -1 (/ (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))) y)) (* -1 (/ (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))) x))))) |
(* -1 (* y (- (* -1 (/ (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))) y)) (* -1 (/ (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))) x))))) |
(* 1/3 (/ y (pow x 3))) |
(/ (+ (* 1/3 y) (* 1/2 (* x y))) (pow x 3)) |
(/ (+ (* 1/3 y) (* x (+ (* 1/6 (* x y)) (* 1/2 y)))) (pow x 3)) |
(/ (+ (* 1/3 y) (* x (+ (* 1/6 (* x y)) (* 1/2 y)))) (pow x 3)) |
(* 1/6 (/ y x)) |
(/ (+ (* 1/6 y) (* 1/2 (/ y x))) x) |
(/ (+ (* 1/6 y) (+ (* 1/3 (/ y (pow x 2))) (* 1/2 (/ y x)))) x) |
(/ (+ (* 1/6 y) (+ (* 1/3 (/ y (pow x 2))) (* 1/2 (/ y x)))) x) |
(* 1/6 (/ y x)) |
(* -1 (/ (+ (* -1/2 (/ y x)) (* -1/6 y)) x)) |
(* -1 (/ (+ (* -1 (/ (+ (* 1/3 (/ y x)) (* 1/2 y)) x)) (* -1/6 y)) x)) |
(* -1 (/ (+ (* -1 (/ (+ (* 1/3 (/ y x)) (* 1/2 y)) x)) (* -1/6 y)) x)) |
(/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x) |
(/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x) |
(/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x) |
(/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x) |
(/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x) |
(/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x) |
(/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x) |
(/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x) |
(/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x) |
(/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x) |
(/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x) |
(/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 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 (+ (* 1/3 (/ 1 (pow x 3))) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/6 (/ 1 x)))))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) (/ 1 x))) (/ 1 x)) |
(* -1 (* (pow y 3) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2))))))) |
(* (pow y 3) (- (+ (/ 1/2 (* x y)) (/ 1/2 (* (pow x 2) y))) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2))))))) |
(* (pow y 3) (- (+ (/ 1/2 (* x y)) (/ 1/2 (* (pow x 2) y))) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (* x (pow y 2)))))))) |
(* (pow y 3) (- (+ (/ 1/2 (* x y)) (+ (/ 1/2 (* (pow x 2) y)) (/ 1 (* x (pow y 3))))) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (* x (pow y 2)))))))) |
(* -1 (* (pow y 3) (+ (* 1/3 (/ 1 (pow x 3))) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/6 (/ 1 x)))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))) y)) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2)))))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (- (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))) (/ 1 (* x y))) y)) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2)))))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) y)) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2)))))))) |
(* -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 (+ 1 (* -1 (* y (+ 1/2 (* -1/6 y)))))) 1) x)) |
(* -1 (/ (- (+ (* -1 (/ (* (pow y 2) (- 1/2 (* 1/2 y))) x)) (* y (+ 1 (* -1 (* y (+ 1/2 (* -1/6 y))))))) 1) x)) |
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/3 (/ (pow y 3) x)) (* (pow y 2) (- 1/2 (* 1/2 y)))) x)) (* y (+ 1 (* -1 (* y (+ 1/2 (* -1/6 y))))))) 1) x)) |
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/3 (/ (pow y 3) x)) (* (pow y 2) (- 1/2 (* 1/2 y)))) x)) (* y (+ 1 (* -1 (* y (+ 1/2 (* -1/6 y))))))) 1) x)) |
(/ 1/2 (pow x 2)) |
(/ 1/2 (pow x 2)) |
(/ 1/2 (pow x 2)) |
(/ 1/2 (pow x 2)) |
(/ 1/2 (pow x 2)) |
(/ 1/2 (pow x 2)) |
(/ 1/2 (pow x 2)) |
(/ 1/2 (pow x 2)) |
(/ 1/2 (pow x 2)) |
(/ 1/2 (pow x 2)) |
(/ 1/2 (pow x 2)) |
(/ 1/2 (pow x 2)) |
(/ 1/3 (pow x 2)) |
(/ 1/3 (pow x 2)) |
(/ 1/3 (pow x 2)) |
(/ 1/3 (pow x 2)) |
(/ 1/3 (pow x 2)) |
(/ 1/3 (pow x 2)) |
(/ 1/3 (pow x 2)) |
(/ 1/3 (pow x 2)) |
(/ 1/3 (pow x 2)) |
(/ 1/3 (pow x 2)) |
(/ 1/3 (pow x 2)) |
(/ 1/3 (pow x 2)) |
| 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 (fma.f64 y #s(literal 1/2 binary64) #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 (/.f64 (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)) |
(/ (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 y) x) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(/ (- 1 y) x) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(/ (- 1 y) x) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(/ (- 1 y) x) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(/ (- 1 y) x) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(/ (- 1 y) x) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(/ (- 1 y) x) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(/ (- 1 y) x) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(/ (+ 1 (* -1 y)) x) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(/ (+ 1 (* -1 y)) x) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(/ (+ 1 (* -1 y)) x) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(/ (+ 1 (* -1 y)) x) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(+ (* -1 (/ y x)) (/ 1 x)) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(+ (* -1 (/ y x)) (/ 1 x)) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(+ (* -1 (/ y x)) (/ 1 x)) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* -1 (/ y x)) |
(/.f64 (neg.f64 y) x) |
(* y (- (/ 1 (* x y)) (/ 1 x))) |
(-.f64 (/.f64 y (*.f64 x y)) (/.f64 y x)) |
(* y (- (/ 1 (* x y)) (/ 1 x))) |
(-.f64 (/.f64 y (*.f64 x y)) (/.f64 y x)) |
(* y (- (/ 1 (* x y)) (/ 1 x))) |
(-.f64 (/.f64 y (*.f64 x y)) (/.f64 y x)) |
(* -1 (/ y x)) |
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(* (pow y 3) (- (+ (/ 1/2 (* x y)) (/ 1/2 (* (pow x 2) y))) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (* x (pow y 2)))))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x y))) (fma.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y y))) (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (/.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))))))) (*.f64 y (*.f64 y y))) |
(* (pow y 3) (- (+ (/ 1/2 (* x y)) (+ (/ 1/2 (* (pow x 2) y)) (/ 1 (* x (pow y 3))))) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (* x (pow y 2)))))))) |
(*.f64 (*.f64 y (*.f64 y y)) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 y y))))) (fma.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y y))) (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (/.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))))))) |
(* -1 (* (pow y 3) (+ (* 1/3 (/ 1 (pow x 3))) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/6 (/ 1 x)))))) |
(*.f64 (*.f64 y y) (-.f64 (/.f64 (*.f64 y #s(literal -1/6 binary64)) x) (*.f64 (/.f64 y (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))) y)) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2)))))))) |
(neg.f64 (*.f64 (*.f64 y y) (+.f64 (fma.f64 y (/.f64 #s(literal 1/6 binary64) x) (*.f64 (/.f64 y (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)))) (/.f64 (*.f64 (/.f64 y x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) (neg.f64 y))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (- (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))) (/ 1 (* x y))) y)) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2)))))))) |
(neg.f64 (*.f64 (*.f64 y y) (+.f64 (fma.f64 y (/.f64 #s(literal 1/6 binary64) x) (*.f64 (/.f64 y (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)))) (/.f64 (-.f64 (/.f64 y (*.f64 x y)) (*.f64 (/.f64 y x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) y)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) y)) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2)))))))) |
(neg.f64 (*.f64 y (fma.f64 y (fma.f64 y (/.f64 #s(literal 1/6 binary64) x) (*.f64 (/.f64 y (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)))) (/.f64 (*.f64 y (fma.f64 (/.f64 y x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (-.f64 (/.f64 y (*.f64 x y)) (/.f64 y x)) y))) (neg.f64 y))))) |
(* -1/3 (/ (pow y 3) (pow x 3))) |
(/.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal -1/3 binary64))) (*.f64 x (*.f64 x x))) |
(/ (+ (* -1/3 (pow y 3)) (* x (* (pow y 2) (- 1/2 (* 1/2 y))))) (pow x 3)) |
(/.f64 (*.f64 (*.f64 y y) (fma.f64 x (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 y #s(literal -1/3 binary64)))) (*.f64 x (*.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 3)) |
(/.f64 (fma.f64 x (fma.f64 x (*.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) x) (*.f64 (*.f64 y y) (fma.f64 x (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 y #s(literal -1/3 binary64))))) (*.f64 x (*.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 3)) |
(/.f64 (fma.f64 x (fma.f64 x (*.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) x) (*.f64 (*.f64 y y) (fma.f64 x (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 y #s(literal -1/3 binary64))))) (*.f64 x (*.f64 x x))) |
(/ (+ 1 (* y (- (* y (- 1/2 (* 1/6 y))) 1))) 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) |
(/ (+ 1 (+ (* y (- (* y (- 1/2 (* 1/6 y))) 1)) (/ (* (pow y 2) (- 1/2 (* 1/2 y))) x))) x) |
(/.f64 (fma.f64 y (fma.f64 y (+.f64 (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x) (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) 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) |
(/.f64 (fma.f64 y (fma.f64 y (+.f64 (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x) (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x x)) #s(literal 1 binary64))) 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) |
(/.f64 (fma.f64 y (fma.f64 y (+.f64 (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x) (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x x)) #s(literal 1 binary64))) x) |
(* -1 (/ (- (* y (+ 1 (* -1 (* y (+ 1/2 (* -1/6 y)))))) 1) x)) |
(neg.f64 (/.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 (/ (- (+ (* -1 (/ (* (pow y 2) (- 1/2 (* 1/2 y))) x)) (* y (+ 1 (* -1 (* y (+ 1/2 (* -1/6 y))))))) 1) x)) |
(/.f64 (fma.f64 y (fma.f64 y (-.f64 (fma.f64 y #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 x)) |
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/3 (/ (pow y 3) x)) (* (pow y 2) (- 1/2 (* 1/2 y)))) x)) (* y (+ 1 (* -1 (* y (+ 1/2 (* -1/6 y))))))) 1) x)) |
(/.f64 (-.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)) (/.f64 (fma.f64 y (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (/.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal -1/3 binary64))) x)) x)) (neg.f64 x)) |
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/3 (/ (pow y 3) x)) (* (pow y 2) (- 1/2 (* 1/2 y)))) x)) (* y (+ 1 (* -1 (* y (+ 1/2 (* -1/6 y))))))) 1) x)) |
(/.f64 (-.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)) (/.f64 (fma.f64 y (*.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (/.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal -1/3 binary64))) x)) x)) (neg.f64 x)) |
(/ 1/2 (pow x 2)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(/ 1/2 (pow x 2)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(/ 1/2 (pow x 2)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(/ 1/2 (pow x 2)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(/ 1/2 (pow x 2)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(/ 1/2 (pow x 2)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(/ 1/2 (pow x 2)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(/ 1/2 (pow x 2)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(/ 1/2 (pow x 2)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(/ 1/2 (pow x 2)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(/ 1/2 (pow x 2)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(/ 1/2 (pow x 2)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(/ 1/3 (pow x 2)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(/ 1/3 (pow x 2)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(/ 1/3 (pow x 2)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(/ 1/3 (pow x 2)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(/ 1/3 (pow x 2)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(/ 1/3 (pow x 2)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(/ 1/3 (pow x 2)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(/ 1/3 (pow x 2)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(/ 1/3 (pow x 2)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(/ 1/3 (pow x 2)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(/ 1/3 (pow x 2)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(/ 1/3 (pow x 2)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
Compiled 39 683 to 3 136 computations (92.1% saved)
21 alts after pruning (19 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 124 | 16 | 1 140 |
| Fresh | 2 | 3 | 5 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 129 | 21 | 1 150 |
| Status | Accuracy | Program |
|---|---|---|
| 65.3% | (fma.f64 y (fma.f64 y (/.f64 (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) x) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) | |
| 54.4% | (fma.f64 y (fma.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 (/.f64 y x) #s(literal 1/6 binary64)))) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) | |
| 66.1% | (fma.f64 y (/.f64 (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)) | |
| 52.6% | (fma.f64 y (*.f64 (neg.f64 y) (fma.f64 y (/.f64 #s(literal 1/6 binary64) x) (*.f64 (/.f64 y (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) x)) | |
| 30.0% | (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) | |
| 67.1% | (/.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) | |
| 66.1% | (/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x) | |
| 20.8% | (/.f64 (fma.f64 x (fma.f64 x (*.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) x) (*.f64 (*.f64 y y) (fma.f64 x (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 y #s(literal -1/3 binary64))))) (*.f64 x (*.f64 x x))) | |
| 75.3% | (/.f64 (pow.f64 (/.f64 (+.f64 x y) x) (neg.f64 x)) x) | |
| ▶ | 76.4% | (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x) |
| 65.8% | (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x) | |
| 37.2% | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 x y)) x) (*.f64 x (/.f64 x y))) | |
| ▶ | 39.2% | (/.f64 (-.f64 x (*.f64 y x)) (*.f64 x x)) |
| 58.8% | (/.f64 (-.f64 #s(literal 1 binary64) y) x) | |
| ▶ | 7.1% | (/.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal -1/3 binary64))) (*.f64 x (*.f64 x x))) |
| 8.6% | (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) (*.f64 x x)) | |
| ▶ | 4.1% | (/.f64 (neg.f64 y) x) |
| ✓ | 83.3% | (/.f64 (exp.f64 (neg.f64 y)) x) |
| ✓ | 74.8% | (/.f64 #s(literal 1 binary64) x) |
| 58.8% | (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) | |
| ▶ | 10.8% | (*.f64 (*.f64 y y) (-.f64 (/.f64 (*.f64 y #s(literal -1/6 binary64)) x) (*.f64 (/.f64 y (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64))))) |
Compiled 582 to 367 computations (36.9% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 (*.f64 y #s(literal -1/6 binary64)) x) |
| ✓ | cost-diff | 0 | (*.f64 y y) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 y y) (-.f64 (/.f64 (*.f64 y #s(literal -1/6 binary64)) x) (*.f64 (/.f64 y (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64))))) |
| ✓ | cost-diff | 640 | (-.f64 (/.f64 (*.f64 y #s(literal -1/6 binary64)) x) (*.f64 (/.f64 y (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 y y) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 y y) #s(literal -1/3 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 y (*.f64 (*.f64 y y) #s(literal -1/3 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal -1/3 binary64))) (*.f64 x (*.f64 x x))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 y x) |
| ✓ | cost-diff | 0 | (-.f64 x (*.f64 y x)) |
| ✓ | cost-diff | 640 | (/.f64 (-.f64 x (*.f64 y x)) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (neg.f64 y) |
| ✓ | cost-diff | 0 | (/.f64 (neg.f64 y) x) |
| ✓ | cost-diff | 0 | (+.f64 x y) |
| ✓ | cost-diff | 0 | (/.f64 x (+.f64 x y)) |
| ✓ | cost-diff | 0 | (pow.f64 (/.f64 x (+.f64 x y)) x) |
| ✓ | cost-diff | 0 | (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x) |
| 12 604× | accelerator-lowering-fma.f32 |
| 12 604× | accelerator-lowering-fma.f64 |
| 4 474× | *-lowering-*.f32 |
| 4 474× | *-lowering-*.f64 |
| 1 950× | unsub-neg |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 172 |
| 1 | 83 | 168 |
| 2 | 264 | 162 |
| 3 | 799 | 156 |
| 4 | 2308 | 152 |
| 5 | 5400 | 152 |
| 0 | 8096 | 152 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (pow (/ x (+ x y)) x) x) |
(pow (/ x (+ x y)) x) |
(/ x (+ x y)) |
x |
(+ x y) |
y |
(/ (neg y) x) |
(neg y) |
y |
x |
(/ (- x (* y x)) (* x x)) |
(- x (* y x)) |
x |
(* y x) |
y |
(* x x) |
(/ (* y (* (* y y) -1/3)) (* x (* x x))) |
(* y (* (* y y) -1/3)) |
y |
(* (* y y) -1/3) |
(* y y) |
-1/3 |
(* x (* x x)) |
x |
(* x x) |
(* (* y y) (- (/ (* y -1/6) x) (* (/ y (* x x)) (+ (/ 1/3 x) 1/2)))) |
(* y y) |
y |
(- (/ (* y -1/6) x) (* (/ y (* x x)) (+ (/ 1/3 x) 1/2))) |
(/ (* y -1/6) x) |
(* y -1/6) |
-1/6 |
x |
(* (/ y (* x x)) (+ (/ 1/3 x) 1/2)) |
(/ y (* x x)) |
(* x x) |
(+ (/ 1/3 x) 1/2) |
(/ 1/3 x) |
1/3 |
1/2 |
| Outputs |
|---|
(/ (pow (/ x (+ x y)) x) x) |
(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x) |
(pow (/ x (+ x y)) x) |
(pow.f64 (/.f64 x (+.f64 x y)) x) |
(/ x (+ x y)) |
(/.f64 x (+.f64 x y)) |
x |
(+ x y) |
(+.f64 x y) |
y |
(/ (neg y) x) |
(/.f64 y (neg.f64 x)) |
(neg y) |
(neg.f64 y) |
y |
x |
(/ (- x (* y x)) (* x x)) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(- x (* y x)) |
(-.f64 x (*.f64 x y)) |
x |
(* y x) |
(*.f64 x y) |
y |
(* x x) |
(*.f64 x x) |
(/ (* y (* (* y y) -1/3)) (* x (* x x))) |
(/.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal -1/3 binary64)))) (*.f64 x (*.f64 x x))) |
(* y (* (* y y) -1/3)) |
(*.f64 y (*.f64 y (*.f64 y #s(literal -1/3 binary64)))) |
y |
(* (* y y) -1/3) |
(*.f64 y (*.f64 y #s(literal -1/3 binary64))) |
(* y y) |
(*.f64 y y) |
-1/3 |
#s(literal -1/3 binary64) |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
x |
(* x x) |
(*.f64 x x) |
(* (* y y) (- (/ (* y -1/6) x) (* (/ y (* x x)) (+ (/ 1/3 x) 1/2)))) |
(*.f64 (/.f64 (*.f64 y (*.f64 y y)) x) (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x))) |
(* y y) |
(*.f64 y y) |
y |
(- (/ (* y -1/6) x) (* (/ y (* x x)) (+ (/ 1/3 x) 1/2))) |
(*.f64 (/.f64 y x) (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x))) |
(/ (* y -1/6) x) |
(*.f64 #s(literal -1/6 binary64) (/.f64 y x)) |
(* y -1/6) |
(*.f64 y #s(literal -1/6 binary64)) |
-1/6 |
#s(literal -1/6 binary64) |
x |
(* (/ y (* x x)) (+ (/ 1/3 x) 1/2)) |
(/.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64))) (*.f64 x x)) |
(/ y (* x x)) |
(/.f64 y (*.f64 x x)) |
(* x x) |
(*.f64 x x) |
(+ (/ 1/3 x) 1/2) |
(+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
1/3 |
#s(literal 1/3 binary64) |
1/2 |
#s(literal 1/2 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.4% | (*.f64 y #s(literal -1/6 binary64)) |
| ✓ | accuracy | 99.4% | (/.f64 #s(literal 1/3 binary64) x) |
| ✓ | accuracy | 89.7% | (*.f64 (*.f64 y y) (-.f64 (/.f64 (*.f64 y #s(literal -1/6 binary64)) x) (*.f64 (/.f64 y (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64))))) |
| ✓ | accuracy | 86.3% | (/.f64 y (*.f64 x x)) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 99.8% | (*.f64 y (*.f64 (*.f64 y y) #s(literal -1/3 binary64))) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 y y) #s(literal -1/3 binary64)) |
| ✓ | accuracy | 71.2% | (/.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal -1/3 binary64))) (*.f64 x (*.f64 x x))) |
| ✓ | accuracy | 100.0% | (-.f64 x (*.f64 y x)) |
| ✓ | accuracy | 100.0% | (*.f64 y x) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 57.9% | (/.f64 (-.f64 x (*.f64 y x)) (*.f64 x x)) |
| ✓ | accuracy | 100.0% | (/.f64 (neg.f64 y) x) |
| ✓ | accuracy | 100.0% | (neg.f64 y) |
| ✓ | accuracy | 100.0% | (+.f64 x y) |
| ✓ | accuracy | 100.0% | (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x) |
| ✓ | accuracy | 100.0% | (/.f64 x (+.f64 x y)) |
| ✓ | accuracy | 76.0% | (pow.f64 (/.f64 x (+.f64 x y)) x) |
| 169.0ms | 145× | 0 | valid |
| 128.0ms | 111× | 1 | valid |
Compiled 178 to 31 computations (82.6% saved)
const: 40.0ms (33.9% of total)ival-add: 24.0ms (20.3% of total)ival-div: 16.0ms (13.6% of total)ival-mult: 15.0ms (12.7% of total)ival-pow: 15.0ms (12.7% of total)adjust: 4.0ms (3.4% of total)ival-sub: 3.0ms (2.5% of total)ival-neg: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (pow (/ x (+ x y)) x) x)> |
#<alt (pow (/ x (+ x y)) x)> |
#<alt (/ x (+ x y))> |
#<alt (+ x y)> |
#<alt (/ (neg y) x)> |
#<alt (neg y)> |
#<alt (/ (- x (* y x)) (* x x))> |
#<alt (- x (* y x))> |
#<alt (* y x)> |
#<alt (* x x)> |
#<alt (/ (* y (* (* y y) -1/3)) (* x (* x x)))> |
#<alt (* y (* (* y y) -1/3))> |
#<alt (* (* y y) -1/3)> |
#<alt (* y y)> |
#<alt (- (/ (* y -1/6) x) (* (/ y (* x x)) (+ (/ 1/3 x) 1/2)))> |
#<alt (* (* y y) (- (/ (* y -1/6) x) (* (/ y (* x x)) (+ (/ 1/3 x) 1/2))))> |
#<alt (/ (* y -1/6) x)> |
#<alt (* x (* x x))> |
#<alt (/ y (* x x))> |
#<alt (/ 1/3 x)> |
#<alt (* y -1/6)> |
| 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 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)))> |
#<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 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 (* -1 y)) x)> |
#<alt (/ (+ 1 (* -1 y)) x)> |
#<alt (/ (+ 1 (* -1 y)) x)> |
#<alt (/ (+ 1 (* -1 y)) x)> |
#<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 (* x (- 1 y))> |
#<alt (* x (- 1 y))> |
#<alt (* x (- 1 y))> |
#<alt (* x (- 1 y))> |
#<alt (* x (- 1 y))> |
#<alt (* x (- 1 y))> |
#<alt (* x (- 1 y))> |
#<alt (* x (- 1 y))> |
#<alt (* x (+ 1 (* -1 y)))> |
#<alt (* x (+ 1 (* -1 y)))> |
#<alt (* x (+ 1 (* -1 y)))> |
#<alt (* x (+ 1 (* -1 y)))> |
#<alt x> |
#<alt (+ x (* -1 (* x y)))> |
#<alt (+ x (* -1 (* x y)))> |
#<alt (+ x (* -1 (* x y)))> |
#<alt (* -1 (* x y))> |
#<alt (* y (- (/ x y) x))> |
#<alt (* y (- (/ x y) x))> |
#<alt (* y (- (/ x y) x))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) (* -1 x))))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) (* -1 x))))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) (* -1 x))))> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (* -1/3 (/ (pow y 3) (pow x 3)))> |
#<alt (* -1/3 (/ (pow y 3) (pow x 3)))> |
#<alt (* -1/3 (/ (pow y 3) (pow x 3)))> |
#<alt (* -1/3 (/ (pow y 3) (pow x 3)))> |
#<alt (* -1/3 (/ (pow y 3) (pow x 3)))> |
#<alt (* -1/3 (/ (pow y 3) (pow x 3)))> |
#<alt (* -1/3 (/ (pow y 3) (pow x 3)))> |
#<alt (* -1/3 (/ (pow y 3) (pow x 3)))> |
#<alt (* -1/3 (/ (pow y 3) (pow x 3)))> |
#<alt (* -1/3 (/ (pow y 3) (pow x 3)))> |
#<alt (* -1/3 (/ (pow y 3) (pow x 3)))> |
#<alt (* -1/3 (/ (pow y 3) (pow x 3)))> |
#<alt (* -1/3 (/ (pow y 3) (pow x 3)))> |
#<alt (* -1/3 (/ (pow y 3) (pow x 3)))> |
#<alt (* -1/3 (/ (pow y 3) (pow x 3)))> |
#<alt (* -1/3 (/ (pow y 3) (pow x 3)))> |
#<alt (* -1/3 (/ (pow y 3) (pow x 3)))> |
#<alt (* -1/3 (/ (pow y 3) (pow x 3)))> |
#<alt (* -1/3 (/ (pow y 3) (pow x 3)))> |
#<alt (* -1/3 (/ (pow y 3) (pow x 3)))> |
#<alt (* -1/3 (/ (pow y 3) (pow x 3)))> |
#<alt (* -1/3 (/ (pow y 3) (pow x 3)))> |
#<alt (* -1/3 (/ (pow y 3) (pow x 3)))> |
#<alt (* -1/3 (/ (pow y 3) (pow x 3)))> |
#<alt (* -1/3 (pow y 3))> |
#<alt (* -1/3 (pow y 3))> |
#<alt (* -1/3 (pow y 3))> |
#<alt (* -1/3 (pow y 3))> |
#<alt (* -1/3 (pow y 3))> |
#<alt (* -1/3 (pow y 3))> |
#<alt (* -1/3 (pow y 3))> |
#<alt (* -1/3 (pow y 3))> |
#<alt (* -1/3 (pow y 3))> |
#<alt (* -1/3 (pow y 3))> |
#<alt (* -1/3 (pow y 3))> |
#<alt (* -1/3 (pow y 3))> |
#<alt (* -1/3 (pow y 2))> |
#<alt (* -1/3 (pow y 2))> |
#<alt (* -1/3 (pow y 2))> |
#<alt (* -1/3 (pow y 2))> |
#<alt (* -1/3 (pow y 2))> |
#<alt (* -1/3 (pow y 2))> |
#<alt (* -1/3 (pow y 2))> |
#<alt (* -1/3 (pow y 2))> |
#<alt (* -1/3 (pow y 2))> |
#<alt (* -1/3 (pow y 2))> |
#<alt (* -1/3 (pow y 2))> |
#<alt (* -1/3 (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 (* y (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2)))))))> |
#<alt (* -1 (* y (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2)))))))> |
#<alt (* -1 (* y (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2)))))))> |
#<alt (* -1 (* y (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2)))))))> |
#<alt (* -1 (* y (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2)))))))> |
#<alt (* -1 (* y (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2)))))))> |
#<alt (* -1 (* y (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2)))))))> |
#<alt (* -1 (* y (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2)))))))> |
#<alt (* -1 (* y (- (* 1/6 (/ 1 x)) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))))> |
#<alt (* -1 (* y (- (* 1/6 (/ 1 x)) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))))> |
#<alt (* -1 (* y (- (* 1/6 (/ 1 x)) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))))> |
#<alt (* -1 (* y (- (* 1/6 (/ 1 x)) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))))> |
#<alt (* -1/3 (/ y (pow x 3)))> |
#<alt (/ (- (* -1/2 (* x y)) (* 1/3 y)) (pow x 3))> |
#<alt (/ (- (* x (- (* -1/6 (* x y)) (* 1/2 y))) (* 1/3 y)) (pow x 3))> |
#<alt (/ (- (* x (- (* -1/6 (* x y)) (* 1/2 y))) (* 1/3 y)) (pow x 3))> |
#<alt (* -1/6 (/ y x))> |
#<alt (/ (+ (* -1/2 (/ y x)) (* -1/6 y)) x)> |
#<alt (/ (- (+ (* -1/3 (/ y (pow x 2))) (* -1/6 y)) (* 1/2 (/ y x))) x)> |
#<alt (/ (- (+ (* -1/3 (/ y (pow x 2))) (* -1/6 y)) (* 1/2 (/ y x))) x)> |
#<alt (* -1/6 (/ y x))> |
#<alt (* -1 (/ (+ (* 1/6 y) (* 1/2 (/ y x))) x))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1/3 (/ y x)) (* 1/2 y)) x)) (* 1/6 y)) x))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1/3 (/ y x)) (* 1/2 y)) x)) (* 1/6 y)) x))> |
#<alt (* -1 (* (pow y 3) (+ (* 1/6 (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 3)))))))> |
#<alt (* -1 (* (pow y 3) (+ (* 1/6 (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 3)))))))> |
#<alt (* -1 (* (pow y 3) (+ (* 1/6 (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 3)))))))> |
#<alt (* -1 (* (pow y 3) (+ (* 1/6 (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 3)))))))> |
#<alt (* -1 (* (pow y 3) (+ (* 1/6 (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 3)))))))> |
#<alt (* -1 (* (pow y 3) (+ (* 1/6 (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 3)))))))> |
#<alt (* -1 (* (pow y 3) (+ (* 1/6 (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 3)))))))> |
#<alt (* -1 (* (pow y 3) (+ (* 1/6 (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 3)))))))> |
#<alt (* -1 (* (pow y 3) (- (* 1/6 (/ 1 x)) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))))> |
#<alt (* -1 (* (pow y 3) (- (* 1/6 (/ 1 x)) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))))> |
#<alt (* -1 (* (pow y 3) (- (* 1/6 (/ 1 x)) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))))> |
#<alt (* -1 (* (pow y 3) (- (* 1/6 (/ 1 x)) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))))> |
#<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 (* -1/6 (/ y x))> |
#<alt (* -1/6 (/ y x))> |
#<alt (* -1/6 (/ y x))> |
#<alt (* -1/6 (/ y x))> |
#<alt (* -1/6 (/ y x))> |
#<alt (* -1/6 (/ y x))> |
#<alt (* -1/6 (/ y x))> |
#<alt (* -1/6 (/ y x))> |
#<alt (* -1/6 (/ y x))> |
#<alt (* -1/6 (/ y x))> |
#<alt (* -1/6 (/ y x))> |
#<alt (* -1/6 (/ y x))> |
#<alt (* -1/6 (/ y x))> |
#<alt (* -1/6 (/ y x))> |
#<alt (* -1/6 (/ y x))> |
#<alt (* -1/6 (/ y x))> |
#<alt (* -1/6 (/ y x))> |
#<alt (* -1/6 (/ y x))> |
#<alt (* -1/6 (/ y x))> |
#<alt (* -1/6 (/ y x))> |
#<alt (* -1/6 (/ y x))> |
#<alt (* -1/6 (/ y x))> |
#<alt (* -1/6 (/ y x))> |
#<alt (* -1/6 (/ y x))> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (/ y (pow x 2))> |
#<alt (/ y (pow x 2))> |
#<alt (/ y (pow x 2))> |
#<alt (/ y (pow x 2))> |
#<alt (/ y (pow x 2))> |
#<alt (/ y (pow x 2))> |
#<alt (/ y (pow x 2))> |
#<alt (/ y (pow x 2))> |
#<alt (/ y (pow x 2))> |
#<alt (/ y (pow x 2))> |
#<alt (/ y (pow x 2))> |
#<alt (/ y (pow x 2))> |
#<alt (/ y (pow x 2))> |
#<alt (/ y (pow x 2))> |
#<alt (/ y (pow x 2))> |
#<alt (/ y (pow x 2))> |
#<alt (/ y (pow x 2))> |
#<alt (/ y (pow x 2))> |
#<alt (/ y (pow x 2))> |
#<alt (/ y (pow x 2))> |
#<alt (/ y (pow x 2))> |
#<alt (/ y (pow x 2))> |
#<alt (/ y (pow x 2))> |
#<alt (/ y (pow x 2))> |
#<alt (/ 1/3 x)> |
#<alt (/ 1/3 x)> |
#<alt (/ 1/3 x)> |
#<alt (/ 1/3 x)> |
#<alt (/ 1/3 x)> |
#<alt (/ 1/3 x)> |
#<alt (/ 1/3 x)> |
#<alt (/ 1/3 x)> |
#<alt (/ 1/3 x)> |
#<alt (/ 1/3 x)> |
#<alt (/ 1/3 x)> |
#<alt (/ 1/3 x)> |
#<alt (* -1/6 y)> |
#<alt (* -1/6 y)> |
#<alt (* -1/6 y)> |
#<alt (* -1/6 y)> |
#<alt (* -1/6 y)> |
#<alt (* -1/6 y)> |
#<alt (* -1/6 y)> |
#<alt (* -1/6 y)> |
#<alt (* -1/6 y)> |
#<alt (* -1/6 y)> |
#<alt (* -1/6 y)> |
#<alt (* -1/6 y)> |
102 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 16.0ms | x | @ | -inf | (/ (* y -1/6) x) |
| 5.0ms | x | @ | 0 | (/ (- x (* y x)) (* x x)) |
| 3.0ms | y | @ | 0 | (- (/ (* y -1/6) x) (* (/ y (* x x)) (+ (/ 1/3 x) 1/2))) |
| 1.0ms | x | @ | 0 | (/ (* y (* (* y y) -1/3)) (* x (* x x))) |
| 1.0ms | y | @ | inf | (- (/ (* y -1/6) x) (* (/ y (* x x)) (+ (/ 1/3 x) 1/2))) |
| 1× | batch-egg-rewrite |
| 5 880× | *-lowering-*.f32 |
| 5 880× | *-lowering-*.f64 |
| 5 062× | /-lowering-/.f32 |
| 5 062× | /-lowering-/.f64 |
| 2 580× | --lowering--.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 133 |
| 1 | 184 | 129 |
| 2 | 1670 | 125 |
| 0 | 8647 | 125 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (pow (/ x (+ x y)) x) x) |
(pow (/ x (+ x y)) x) |
(/ x (+ x y)) |
(+ x y) |
(/ (neg y) x) |
(neg y) |
(/ (- x (* y x)) (* x x)) |
(- x (* y x)) |
(* y x) |
(* x x) |
(/ (* y (* (* y y) -1/3)) (* x (* x x))) |
(* y (* (* y y) -1/3)) |
(* (* y y) -1/3) |
(* y y) |
(- (/ (* y -1/6) x) (* (/ y (* x x)) (+ (/ 1/3 x) 1/2))) |
(* (* y y) (- (/ (* y -1/6) x) (* (/ y (* x x)) (+ (/ 1/3 x) 1/2)))) |
(/ (* y -1/6) x) |
(* x (* x x)) |
(/ y (* x x)) |
(/ 1/3 x) |
(* y -1/6) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (*.f64 x (pow.f64 (/.f64 x (+.f64 x y)) (neg.f64 x)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.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))) |
(neg.f64 (/.f64 (neg.f64 (pow.f64 (/.f64 x (+.f64 x y)) x)) x)) |
(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x) |
(/.f64 (neg.f64 (pow.f64 (/.f64 x (+.f64 x y)) x)) (neg.f64 x)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (/.f64 x (+.f64 x y)) (neg.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (pow.f64 (/.f64 x (+.f64 x y)) (neg.f64 x))) #s(literal 1 binary64))) |
(/.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) (neg.f64 (*.f64 x (pow.f64 (/.f64 x (+.f64 x y)) (neg.f64 x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x (pow.f64 (/.f64 x (+.f64 x y)) (neg.f64 x))) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (/.f64 x (+.f64 x y)) x))) (neg.f64 (neg.f64 x))) |
(/.f64 (*.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) #s(literal 1 binary64)) x) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (pow.f64 (/.f64 x (+.f64 x y)) x)))) (neg.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) #s(literal 1 binary64))) (neg.f64 x)) |
(pow.f64 (*.f64 x (pow.f64 (/.f64 x (+.f64 x y)) (neg.f64 x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 x (pow.f64 (/.f64 x (+.f64 x y)) (neg.f64 x))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (neg.f64 (pow.f64 (/.f64 x (+.f64 x y)) x)) (/.f64 #s(literal 1 binary64) (neg.f64 x))) |
(*.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 (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))) (/.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)) (*.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 (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)) |
(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))))) |
(pow.f64 (/.f64 x (+.f64 x y)) x) |
(pow.f64 (/.f64 x (+.f64 x y)) (fma.f64 x #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))) |
(pow.f64 (/.f64 x (+.f64 x y)) (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))) |
(pow.f64 (/.f64 x (+.f64 x y)) (*.f64 (*.f64 x #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) (fma.f64 x #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) |
(pow.f64 (/.f64 (+.f64 x y) x) (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64))))) |
(pow.f64 (pow.f64 (/.f64 x (+.f64 x y)) (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 x (+.f64 x y)) (/.f64 x (+.f64 x y))) (*.f64 x #s(literal 1/2 binary64))) |
(pow.f64 (pow.f64 (*.f64 (/.f64 x (+.f64 x y)) (/.f64 x (+.f64 x y))) x) #s(literal 1/2 binary64)) |
(pow.f64 (exp.f64 x) (log.f64 (/.f64 x (+.f64 x y)))) |
(*.f64 (pow.f64 (/.f64 x (+.f64 x y)) (*.f64 x #s(literal 1/2 binary64))) (pow.f64 (/.f64 x (+.f64 x y)) (*.f64 x #s(literal 1/2 binary64)))) |
(*.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 #s(literal 1 binary64) x) (pow.f64 (/.f64 x (+.f64 x y)) x)) |
(*.f64 (pow.f64 (neg.f64 x) x) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 x y))) x)) |
(*.f64 (pow.f64 (/.f64 x (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) x) (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) x)) |
(*.f64 (pow.f64 (/.f64 x (*.f64 (+.f64 x y) (-.f64 x y))) x) (pow.f64 (-.f64 x y) x)) |
(*.f64 (pow.f64 x (fma.f64 x #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (fma.f64 x #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (fma.f64 x #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))) (pow.f64 x (fma.f64 x #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (pow.f64 (neg.f64 x) (fma.f64 x #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 x y))) (fma.f64 x #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (pow.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))) (pow.f64 (/.f64 x (+.f64 x y)) x)) |
(*.f64 (pow.f64 (/.f64 x (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (fma.f64 x #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))) (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (fma.f64 x #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (pow.f64 (/.f64 x (*.f64 (+.f64 x y) (-.f64 x y))) (fma.f64 x #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))) (pow.f64 (-.f64 x y) (fma.f64 x #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (pow.f64 x (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))) (pow.f64 x (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (pow.f64 (neg.f64 x) (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 x y))) (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (pow.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))) (pow.f64 (/.f64 x (+.f64 x y)) x)) |
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(+.f64 (*.f64 (/.f64 (*.f64 y #s(literal -1/6 binary64)) x) (*.f64 y y)) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (/.f64 (neg.f64 y) (*.f64 x x))) (*.f64 y y))) |
(fma.f64 (*.f64 y y) (/.f64 (*.f64 y #s(literal -1/6 binary64)) x) (*.f64 (*.f64 y y) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (/.f64 (neg.f64 y) (*.f64 x x))))) |
(fma.f64 (/.f64 (*.f64 y #s(literal -1/6 binary64)) x) (*.f64 y y) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (/.f64 (neg.f64 y) (*.f64 x x))) (*.f64 y y))) |
(/.f64 (*.f64 (*.f64 y y) (-.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) (fma.f64 (/.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64))) (*.f64 x x)) (fma.f64 (/.f64 y (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (/.f64 (*.f64 y #s(literal -1/6 binary64)) x)) (/.f64 (*.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 y #s(literal -1/6 binary64))) (*.f64 x x)))) |
(/.f64 (*.f64 (*.f64 y y) (/.f64 (-.f64 (*.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 y #s(literal -1/6 binary64))) (*.f64 (/.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64))) (*.f64 x x)) (*.f64 y (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64))))) (*.f64 x x))) (fma.f64 (/.f64 y (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (/.f64 (*.f64 y #s(literal -1/6 binary64)) x))) |
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (*.f64 y y)) (fma.f64 (/.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64))) (*.f64 x x)) (fma.f64 (/.f64 y (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (/.f64 (*.f64 y #s(literal -1/6 binary64)) x)) (/.f64 (*.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 y #s(literal -1/6 binary64))) (*.f64 x x)))) |
(/.f64 (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 y #s(literal -1/6 binary64))) (*.f64 (/.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64))) (*.f64 x x)) (*.f64 y (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64))))) (*.f64 x x)) (*.f64 y y)) (fma.f64 (/.f64 y (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (/.f64 (*.f64 y #s(literal -1/6 binary64)) x))) |
(/.f64 (neg.f64 (*.f64 (*.f64 y y) (-.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))))) (neg.f64 (fma.f64 (/.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64))) (*.f64 x x)) (fma.f64 (/.f64 y (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (/.f64 (*.f64 y #s(literal -1/6 binary64)) x)) (/.f64 (*.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 y #s(literal -1/6 binary64))) (*.f64 x x))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 y y) (/.f64 (-.f64 (*.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 y #s(literal -1/6 binary64))) (*.f64 (/.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64))) (*.f64 x x)) (*.f64 y (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64))))) (*.f64 x x)))) (neg.f64 (fma.f64 (/.f64 y (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (/.f64 (*.f64 y #s(literal -1/6 binary64)) x)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (*.f64 y y))) (neg.f64 (fma.f64 (/.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64))) (*.f64 x x)) (fma.f64 (/.f64 y (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (/.f64 (*.f64 y #s(literal -1/6 binary64)) x)) (/.f64 (*.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 y #s(literal -1/6 binary64))) (*.f64 x x))))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 y #s(literal -1/6 binary64))) (*.f64 (/.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64))) (*.f64 x x)) (*.f64 y (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64))))) (*.f64 x x)) (*.f64 y y))) (neg.f64 (fma.f64 (/.f64 y (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (/.f64 (*.f64 y #s(literal -1/6 binary64)) x)))) |
(*.f64 y (*.f64 y (/.f64 (-.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (/.f64 y x))) x))) |
(*.f64 (*.f64 y y) (/.f64 (-.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (/.f64 y x))) x)) |
(*.f64 (/.f64 (-.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (/.f64 y x))) x) (*.f64 y y)) |
(*.f64 (*.f64 y (/.f64 (-.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (/.f64 y x))) x)) y) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (*.f64 y #s(literal -1/6 binary64)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) x) (*.f64 #s(literal 1/6 binary64) (/.f64 y x))) |
(neg.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 y x))) |
(neg.f64 (/.f64 (*.f64 y #s(literal 1/6 binary64)) x)) |
(/.f64 (*.f64 y #s(literal -1/6 binary64)) x) |
(/.f64 (*.f64 y #s(literal 1/6 binary64)) (neg.f64 x)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y #s(literal -1/6 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (*.f64 y #s(literal -1/6 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (*.f64 y #s(literal -1/6 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) x) |
(/.f64 (neg.f64 (*.f64 y #s(literal 1/6 binary64))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (*.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) (neg.f64 x)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 y #s(literal 1/6 binary64)))) (neg.f64 (neg.f64 (neg.f64 x)))) |
(pow.f64 (/.f64 x (*.f64 y #s(literal -1/6 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 x (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 y (/.f64 #s(literal -1/6 binary64) x)) |
(*.f64 #s(literal -1/6 binary64) (/.f64 y x)) |
(*.f64 (*.f64 y #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (*.f64 y #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 x))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal -1/6 binary64)) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y #s(literal -1/6 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1/6 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1/6 binary64) x) y) |
(*.f64 #s(literal 1/6 binary64) (/.f64 y (neg.f64 x))) |
(*.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 #s(literal -1/6 binary64) x)) |
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1/6 binary64) x)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) |
(pow.f64 x #s(literal 3 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64)) |
(*.f64 x (*.f64 x x)) |
(*.f64 (*.f64 x x) x) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x x) y)) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 (neg.f64 y) (*.f64 x x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x x))) (/.f64 (neg.f64 y) (*.f64 x x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 (neg.f64 y) (*.f64 x x))) |
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) x) (neg.f64 x)) (/.f64 (neg.f64 y) (*.f64 x x))) |
(neg.f64 (/.f64 (neg.f64 y) (*.f64 x x))) |
(/.f64 y (*.f64 x x)) |
(/.f64 y (neg.f64 (neg.f64 (*.f64 x x)))) |
(/.f64 (neg.f64 y) (neg.f64 (*.f64 x x))) |
(/.f64 (neg.f64 y) (neg.f64 (neg.f64 (neg.f64 (*.f64 x x))))) |
(/.f64 (/.f64 y (neg.f64 x)) (neg.f64 x)) |
(/.f64 (/.f64 y x) x) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 y x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x x) y) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 x x) y)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x x) y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (/.f64 y x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 x x) y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 x x)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x x))) (*.f64 (neg.f64 (*.f64 x x)) y)) (*.f64 (neg.f64 (*.f64 x x)) (neg.f64 (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 (neg.f64 (*.f64 x x)) (neg.f64 y))) (*.f64 (neg.f64 (*.f64 x x)) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 (*.f64 x x)))) (*.f64 (neg.f64 (*.f64 x x)) (neg.f64 y))) (*.f64 (neg.f64 (*.f64 x x)) (neg.f64 (neg.f64 (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) x) (*.f64 (neg.f64 (*.f64 x x)) (/.f64 y (neg.f64 x)))) (neg.f64 (*.f64 x (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (neg.f64 (*.f64 x x)) (/.f64 y x))) (*.f64 (neg.f64 (*.f64 x x)) (neg.f64 x))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (*.f64 x x) y))) (*.f64 (neg.f64 (*.f64 x x)) #s(literal 1 binary64))) (*.f64 (neg.f64 (*.f64 x x)) (neg.f64 (/.f64 (*.f64 x x) y)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 x x) y)) (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1 binary64))) (*.f64 (neg.f64 (*.f64 x x)) (/.f64 (*.f64 x x) y))) |
(/.f64 (neg.f64 (/.f64 y (neg.f64 x))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (*.f64 y #s(literal 1 binary64))) (neg.f64 (*.f64 x x))) |
(pow.f64 (/.f64 (*.f64 x x) y) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x (/.f64 y x)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 x x) y) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x x)))) |
(*.f64 (/.f64 y (neg.f64 x)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x x))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) y) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) (*.f64 x x))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 y (neg.f64 x))) |
(*.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) x)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 y (neg.f64 x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal -1/3 binary64) x)) |
(/.f64 #s(literal -1/3 binary64) (neg.f64 x)) |
(/.f64 #s(literal -1/3 binary64) (neg.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 #s(literal 1/3 binary64) x) |
(/.f64 #s(literal 1/3 binary64) (neg.f64 (neg.f64 x))) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 x #s(literal 3 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x #s(literal 3 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) |
(*.f64 y #s(literal -1/6 binary64)) |
(*.f64 #s(literal -1/6 binary64) y) |
| 1× | egg-herbie |
| 7 572× | accelerator-lowering-fma.f32 |
| 7 572× | accelerator-lowering-fma.f64 |
| 5 710× | *-lowering-*.f32 |
| 5 710× | *-lowering-*.f64 |
| 2 624× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 510 | 4364 |
| 1 | 1563 | 3947 |
| 2 | 5170 | 3825 |
| 0 | 8430 | 3699 |
| 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) |
(/ (+ (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)) |
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(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(/ y (pow x 2)) |
(/ y (pow x 2)) |
(/ y (pow x 2)) |
(/ y (pow x 2)) |
(/ y (pow x 2)) |
(/ y (pow x 2)) |
(/ y (pow x 2)) |
(/ y (pow x 2)) |
(/ y (pow x 2)) |
(/ y (pow x 2)) |
(/ y (pow x 2)) |
(/ y (pow x 2)) |
(/ y (pow x 2)) |
(/ y (pow x 2)) |
(/ y (pow x 2)) |
(/ y (pow x 2)) |
(/ y (pow x 2)) |
(/ y (pow x 2)) |
(/ y (pow x 2)) |
(/ y (pow x 2)) |
(/ y (pow x 2)) |
(/ y (pow x 2)) |
(/ y (pow x 2)) |
(/ y (pow x 2)) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
| 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 (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) #s(literal 3 binary64)) (/.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 (exp.f64 (neg.f64 y)) (/.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)) (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)) (+ (* 1/48 (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 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 y (*.f64 (*.f64 y y) #s(literal -2 binary64))) #s(literal 1/12 binary64)) (fma.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/48 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 30 binary64)) (neg.f64 (*.f64 (*.f64 y y) (*.f64 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 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64))) (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 (exp.f64 (neg.f64 y)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y (*.f64 y #s(literal 2 binary64)))) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/8 binary64)))) 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 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) (exp.f64 (neg.f64 y))) (/.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 (*.f64 y (*.f64 y #s(literal 2 binary64)))) (*.f64 (*.f64 y y) #s(literal 1/12 binary64)))))) (neg.f64 (/.f64 (exp.f64 (neg.f64 y)) x)) (*.f64 (exp.f64 (neg.f64 y)) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y (*.f64 y #s(literal 2 binary64)))) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/8 binary64)))))) x)) x)) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(+ (* -1 (/ y x)) (/ 1 x)) |
(/.f64 (-.f64 #s(literal 1 binary64) 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)) |
(fma.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) x) (pow.f64 x x)) (/.f64 x (neg.f64 y)) (/.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) (/ (* (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)) (/.f64 x (neg.f64 y)) (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 (*.f64 x (*.f64 x x)) x (*.f64 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))) |
(+ (* -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)) (/.f64 x (neg.f64 y)) (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 (*.f64 x (*.f64 x x)) x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 y y))) (/.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)))) (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) x))))) (*.f64 y (*.f64 x (*.f64 y y))))) (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) x) (pow.f64 x x)) x))) |
(/ (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)) |
(-.f64 (/.f64 (*.f64 (pow.f64 (neg.f64 x) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) x)) 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 (*.f64 x x)) x (*.f64 x (*.f64 x x))) (*.f64 x y))) (*.f64 x (*.f64 (pow.f64 (neg.f64 x) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) x)))) 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)))))))) (* 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)) |
(-.f64 (/.f64 (*.f64 (pow.f64 (neg.f64 x) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) x)) x) (/.f64 (fma.f64 x (*.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 (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) x)) (*.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 x y)) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) x (*.f64 x (*.f64 x x))) (*.f64 (pow.f64 (neg.f64 x) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) x)))) x)) y)) y)) |
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 (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) #s(literal 3 binary64)) (/.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 (*.f64 y y) x) #s(literal 1/2 binary64)) (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 (exp.f64 (neg.f64 y)) (/.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)) (fma.f64 (exp.f64 (neg.f64 y)) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) (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 y (*.f64 (*.f64 y y) #s(literal -2 binary64))) #s(literal 1/12 binary64)) (fma.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/48 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 30 binary64)) (neg.f64 (*.f64 (*.f64 y y) (*.f64 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)))) |
(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 (*.f64 y y) x) #s(literal 1/2 binary64)) (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))) |
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(+ (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))) |
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(/.f64 (fma.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) y) x)) (neg.f64 x)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (pow y 3)) (* -1/3 (/ (pow y 3) x))) x)) (* 1/6 (pow y 3))) x)) |
(/.f64 (-.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) (/.f64 (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal -1/3 binary64) x))) x)) (neg.f64 x)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (pow y 3)) (* -1/3 (/ (pow y 3) x))) x)) (* 1/6 (pow y 3))) x)) |
(/.f64 (-.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) (/.f64 (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal -1/3 binary64) x))) x)) (neg.f64 x)) |
(* -1/6 (/ y x)) |
(/.f64 (*.f64 y #s(literal -1/6 binary64)) x) |
(* -1/6 (/ y x)) |
(/.f64 (*.f64 y #s(literal -1/6 binary64)) x) |
(* -1/6 (/ y x)) |
(/.f64 (*.f64 y #s(literal -1/6 binary64)) x) |
(* -1/6 (/ y x)) |
(/.f64 (*.f64 y #s(literal -1/6 binary64)) x) |
(* -1/6 (/ y x)) |
(/.f64 (*.f64 y #s(literal -1/6 binary64)) x) |
(* -1/6 (/ y x)) |
(/.f64 (*.f64 y #s(literal -1/6 binary64)) x) |
(* -1/6 (/ y x)) |
(/.f64 (*.f64 y #s(literal -1/6 binary64)) x) |
(* -1/6 (/ y x)) |
(/.f64 (*.f64 y #s(literal -1/6 binary64)) x) |
(* -1/6 (/ y x)) |
(/.f64 (*.f64 y #s(literal -1/6 binary64)) x) |
(* -1/6 (/ y x)) |
(/.f64 (*.f64 y #s(literal -1/6 binary64)) x) |
(* -1/6 (/ y x)) |
(/.f64 (*.f64 y #s(literal -1/6 binary64)) x) |
(* -1/6 (/ y x)) |
(/.f64 (*.f64 y #s(literal -1/6 binary64)) x) |
(* -1/6 (/ y x)) |
(/.f64 (*.f64 y #s(literal -1/6 binary64)) x) |
(* -1/6 (/ y x)) |
(/.f64 (*.f64 y #s(literal -1/6 binary64)) x) |
(* -1/6 (/ y x)) |
(/.f64 (*.f64 y #s(literal -1/6 binary64)) x) |
(* -1/6 (/ y x)) |
(/.f64 (*.f64 y #s(literal -1/6 binary64)) x) |
(* -1/6 (/ y x)) |
(/.f64 (*.f64 y #s(literal -1/6 binary64)) x) |
(* -1/6 (/ y x)) |
(/.f64 (*.f64 y #s(literal -1/6 binary64)) x) |
(* -1/6 (/ y x)) |
(/.f64 (*.f64 y #s(literal -1/6 binary64)) x) |
(* -1/6 (/ y x)) |
(/.f64 (*.f64 y #s(literal -1/6 binary64)) x) |
(* -1/6 (/ y x)) |
(/.f64 (*.f64 y #s(literal -1/6 binary64)) x) |
(* -1/6 (/ y x)) |
(/.f64 (*.f64 y #s(literal -1/6 binary64)) x) |
(* -1/6 (/ y x)) |
(/.f64 (*.f64 y #s(literal -1/6 binary64)) x) |
(* -1/6 (/ y x)) |
(/.f64 (*.f64 y #s(literal -1/6 binary64)) x) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(/ y (pow x 2)) |
(/.f64 y (*.f64 x x)) |
(/ y (pow x 2)) |
(/.f64 y (*.f64 x x)) |
(/ y (pow x 2)) |
(/.f64 y (*.f64 x x)) |
(/ y (pow x 2)) |
(/.f64 y (*.f64 x x)) |
(/ y (pow x 2)) |
(/.f64 y (*.f64 x x)) |
(/ y (pow x 2)) |
(/.f64 y (*.f64 x x)) |
(/ y (pow x 2)) |
(/.f64 y (*.f64 x x)) |
(/ y (pow x 2)) |
(/.f64 y (*.f64 x x)) |
(/ y (pow x 2)) |
(/.f64 y (*.f64 x x)) |
(/ y (pow x 2)) |
(/.f64 y (*.f64 x x)) |
(/ y (pow x 2)) |
(/.f64 y (*.f64 x x)) |
(/ y (pow x 2)) |
(/.f64 y (*.f64 x x)) |
(/ y (pow x 2)) |
(/.f64 y (*.f64 x x)) |
(/ y (pow x 2)) |
(/.f64 y (*.f64 x x)) |
(/ y (pow x 2)) |
(/.f64 y (*.f64 x x)) |
(/ y (pow x 2)) |
(/.f64 y (*.f64 x x)) |
(/ y (pow x 2)) |
(/.f64 y (*.f64 x x)) |
(/ y (pow x 2)) |
(/.f64 y (*.f64 x x)) |
(/ y (pow x 2)) |
(/.f64 y (*.f64 x x)) |
(/ y (pow x 2)) |
(/.f64 y (*.f64 x x)) |
(/ y (pow x 2)) |
(/.f64 y (*.f64 x x)) |
(/ y (pow x 2)) |
(/.f64 y (*.f64 x x)) |
(/ y (pow x 2)) |
(/.f64 y (*.f64 x x)) |
(/ y (pow x 2)) |
(/.f64 y (*.f64 x x)) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(* -1/6 y) |
(*.f64 y #s(literal -1/6 binary64)) |
(* -1/6 y) |
(*.f64 y #s(literal -1/6 binary64)) |
(* -1/6 y) |
(*.f64 y #s(literal -1/6 binary64)) |
(* -1/6 y) |
(*.f64 y #s(literal -1/6 binary64)) |
(* -1/6 y) |
(*.f64 y #s(literal -1/6 binary64)) |
(* -1/6 y) |
(*.f64 y #s(literal -1/6 binary64)) |
(* -1/6 y) |
(*.f64 y #s(literal -1/6 binary64)) |
(* -1/6 y) |
(*.f64 y #s(literal -1/6 binary64)) |
(* -1/6 y) |
(*.f64 y #s(literal -1/6 binary64)) |
(* -1/6 y) |
(*.f64 y #s(literal -1/6 binary64)) |
(* -1/6 y) |
(*.f64 y #s(literal -1/6 binary64)) |
(* -1/6 y) |
(*.f64 y #s(literal -1/6 binary64)) |
Compiled 32 450 to 3 444 computations (89.4% saved)
27 alts after pruning (24 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 261 | 14 | 1 275 |
| Fresh | 4 | 10 | 14 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 269 | 27 | 1 296 |
| Status | Accuracy | Program |
|---|---|---|
| 65.3% | (fma.f64 y (fma.f64 y (/.f64 (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) x) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) | |
| 54.4% | (fma.f64 y (fma.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 (/.f64 y x) #s(literal 1/6 binary64)))) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) | |
| 66.1% | (fma.f64 y (/.f64 (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)) | |
| 67.1% | (/.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) | |
| 66.1% | (/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x) | |
| ▶ | 3.7% | (/.f64 (fma.f64 x (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64))) (*.f64 (*.f64 y y) (*.f64 y #s(literal -1/3 binary64)))) (*.f64 x (*.f64 x x))) |
| ▶ | 75.3% | (/.f64 (pow.f64 (/.f64 (+.f64 x y) x) (neg.f64 x)) x) |
| 46.5% | (/.f64 (pow.f64 (/.f64 x y) x) x) | |
| 65.8% | (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x) | |
| 22.9% | (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y x) (*.f64 x x)) (-.f64 x (*.f64 x y))) (fma.f64 (*.f64 x y) (fma.f64 x y x) (*.f64 x x))) (*.f64 x x)) | |
| 36.6% | (/.f64 (/.f64 (*.f64 (fma.f64 x y x) (-.f64 x (*.f64 x y))) (fma.f64 x y x)) (*.f64 x x)) | |
| 18.0% | (/.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x y))) (*.f64 (*.f64 x x) (*.f64 x x))) | |
| ▶ | 58.8% | (/.f64 (-.f64 #s(literal 1 binary64) y) x) |
| 22.6% | (/.f64 (*.f64 (fma.f64 x y x) (-.f64 x (*.f64 x y))) (*.f64 (*.f64 x x) (fma.f64 x y x))) | |
| 7.1% | (/.f64 (*.f64 (*.f64 y (*.f64 y #s(literal -1/3 binary64))) y) (*.f64 x (*.f64 x x))) | |
| 11.9% | (/.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) x) | |
| ▶ | 8.6% | (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) (*.f64 x x)) |
| ✓ | 4.1% | (/.f64 (neg.f64 y) x) |
| ✓ | 83.3% | (/.f64 (exp.f64 (neg.f64 y)) x) |
| 51.4% | (/.f64 x (*.f64 x x)) | |
| ✓ | 74.8% | (/.f64 #s(literal 1 binary64) x) |
| ▶ | 11.0% | (*.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 (*.f64 y #s(literal -1/3 binary64)) x)) |
| 58.8% | (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) | |
| 4.1% | (*.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 y)) | |
| 10.8% | (*.f64 (*.f64 y y) (fma.f64 #s(literal -1/6 binary64) (/.f64 y x) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (/.f64 (neg.f64 y) (*.f64 x x))))) | |
| 10.8% | (*.f64 (*.f64 y y) (/.f64 (*.f64 y #s(literal -1/6 binary64)) x)) | |
| 10.7% | (*.f64 (*.f64 y y) (*.f64 y (neg.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) x) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x x)))))) |
Compiled 786 to 449 computations (42.9% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 y (*.f64 y y)) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 x (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64))) (*.f64 (*.f64 y y) (*.f64 y #s(literal -1/3 binary64)))) (*.f64 x (*.f64 x x))) |
| ✓ | cost-diff | 960 | (fma.f64 x (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64))) (*.f64 (*.f64 y y) (*.f64 y #s(literal -1/3 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 y y) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 y y) (*.f64 x x)) |
| ✓ | cost-diff | 384 | (*.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 (*.f64 y #s(literal -1/3 binary64)) x)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | 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)) (*.f64 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 | (+.f64 x y) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 x y) x) |
| ✓ | cost-diff | 0 | (pow.f64 (/.f64 (+.f64 x y) x) (neg.f64 x)) |
| ✓ | cost-diff | 0 | (/.f64 (pow.f64 (/.f64 (+.f64 x y) x) (neg.f64 x)) x) |
| 8 142× | accelerator-lowering-fma.f32 |
| 8 142× | accelerator-lowering-fma.f64 |
| 4 330× | *-lowering-*.f32 |
| 4 330× | *-lowering-*.f64 |
| 2 590× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 178 |
| 1 | 89 | 176 |
| 2 | 245 | 166 |
| 3 | 668 | 164 |
| 4 | 1172 | 162 |
| 5 | 1427 | 162 |
| 6 | 1843 | 162 |
| 7 | 2674 | 162 |
| 8 | 3175 | 162 |
| 9 | 5269 | 162 |
| 0 | 8215 | 156 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (pow (/ (+ x y) x) (neg x)) x) |
(pow (/ (+ x y) x) (neg x)) |
(/ (+ x y) x) |
(+ x y) |
x |
y |
(neg x) |
(/ (- 1 y) x) |
(- 1 y) |
1 |
y |
x |
(/ (* 1/2 (* y y)) (* x x)) |
(* 1/2 (* y y)) |
1/2 |
(* y y) |
y |
(* x x) |
x |
(* (/ (* y y) (* x x)) (/ (* y -1/3) x)) |
(/ (* y y) (* x x)) |
(* y y) |
y |
(* x x) |
x |
(/ (* y -1/3) x) |
(* y -1/3) |
-1/3 |
(/ (+ (* x (* (* y (* y y)) (+ (* x -1/6) -1/2))) (* (* y y) (* y -1/3))) (* x (* x x))) |
(+ (* x (* (* y (* y y)) (+ (* x -1/6) -1/2))) (* (* y y) (* y -1/3))) |
x |
(* (* y (* y y)) (+ (* x -1/6) -1/2)) |
(* y (* y y)) |
y |
(* y y) |
(+ (* x -1/6) -1/2) |
-1/6 |
-1/2 |
(* (* y y) (* y -1/3)) |
(* y -1/3) |
-1/3 |
(* x (* x x)) |
(* x x) |
| Outputs |
|---|
(/ (pow (/ (+ x y) x) (neg x)) x) |
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (neg.f64 x)) x) |
(pow (/ (+ x y) x) (neg x)) |
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (neg.f64 x)) |
(/ (+ x y) x) |
(+.f64 #s(literal 1 binary64) (/.f64 y x)) |
(+ x y) |
(+.f64 x y) |
x |
y |
(neg x) |
(neg.f64 x) |
(/ (- 1 y) x) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(- 1 y) |
(-.f64 #s(literal 1 binary64) y) |
1 |
#s(literal 1 binary64) |
y |
x |
(/ (* 1/2 (* y y)) (* x x)) |
(*.f64 y (*.f64 y (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(* 1/2 (* y y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y y)) |
1/2 |
#s(literal 1/2 binary64) |
(* y y) |
(*.f64 y y) |
y |
(* x x) |
(*.f64 x x) |
x |
(* (/ (* y y) (* x x)) (/ (* y -1/3) x)) |
(/.f64 (*.f64 (*.f64 y y) (*.f64 y #s(literal -1/3 binary64))) (*.f64 x (*.f64 x x))) |
(/ (* y y) (* x x)) |
(/.f64 (*.f64 y y) (*.f64 x x)) |
(* y y) |
(*.f64 y y) |
y |
(* x x) |
(*.f64 x x) |
x |
(/ (* y -1/3) x) |
(/.f64 (*.f64 y #s(literal -1/3 binary64)) x) |
(* y -1/3) |
(*.f64 y #s(literal -1/3 binary64)) |
-1/3 |
#s(literal -1/3 binary64) |
(/ (+ (* x (* (* y (* y y)) (+ (* x -1/6) -1/2))) (* (* y y) (* y -1/3))) (* x (* x x))) |
(/.f64 (*.f64 (*.f64 y (*.f64 y 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))) |
(+ (* x (* (* y (* y y)) (+ (* x -1/6) -1/2))) (* (* y y) (* y -1/3))) |
(*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1/3 binary64))) |
x |
(* (* y (* y y)) (+ (* x -1/6) -1/2)) |
(*.f64 (*.f64 y y) (*.f64 y (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)))) |
(* y (* y y)) |
(*.f64 y (*.f64 y y)) |
y |
(* y y) |
(*.f64 y y) |
(+ (* x -1/6) -1/2) |
(fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) |
-1/6 |
#s(literal -1/6 binary64) |
-1/2 |
#s(literal -1/2 binary64) |
(* (* y y) (* y -1/3)) |
(*.f64 (*.f64 y y) (*.f64 y #s(literal -1/3 binary64))) |
(* y -1/3) |
(*.f64 y #s(literal -1/3 binary64)) |
-1/3 |
#s(literal -1/3 binary64) |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
(* x x) |
(*.f64 x x) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.4% | (*.f64 y #s(literal -1/3 binary64)) |
| ✓ | accuracy | 94.6% | (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64))) |
| ✓ | accuracy | 90.6% | (fma.f64 x (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64))) (*.f64 (*.f64 y y) (*.f64 y #s(literal -1/3 binary64)))) |
| ✓ | accuracy | 60.7% | (/.f64 (fma.f64 x (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64))) (*.f64 (*.f64 y y) (*.f64 y #s(literal -1/3 binary64)))) (*.f64 x (*.f64 x x))) |
| ✓ | accuracy | 99.9% | (*.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 (*.f64 y #s(literal -1/3 binary64)) x)) |
| ✓ | accuracy | 99.7% | (/.f64 (*.f64 y #s(literal -1/3 binary64)) x) |
| ✓ | accuracy | 99.4% | (*.f64 y #s(literal -1/3 binary64)) |
| ✓ | accuracy | 76.8% | (/.f64 (*.f64 y y) (*.f64 x x)) |
| ✓ | accuracy | 100.0% | (*.f64 y y) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) |
| ✓ | accuracy | 76.8% | (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) (*.f64 x x)) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) y) |
| ✓ | accuracy | 100.0% | (/.f64 (-.f64 #s(literal 1 binary64) y) x) |
| ✓ | accuracy | 100.0% | (neg.f64 x) |
| ✓ | accuracy | 100.0% | (/.f64 (pow.f64 (/.f64 (+.f64 x y) x) (neg.f64 x)) x) |
| ✓ | accuracy | 100.0% | (/.f64 (+.f64 x y) x) |
| ✓ | accuracy | 74.9% | (pow.f64 (/.f64 (+.f64 x y) x) (neg.f64 x)) |
| 57.0ms | 111× | 1 | valid |
| 41.0ms | 145× | 0 | valid |
Compiled 192 to 33 computations (82.8% saved)
ival-mult: 22.0ms (30.2% of total)ival-div: 14.0ms (19.2% of total)ival-pow: 14.0ms (19.2% of total)const: 10.0ms (13.7% of total)ival-add: 5.0ms (6.9% of total)adjust: 4.0ms (5.5% of total)ival-neg: 2.0ms (2.7% of total)ival-sub: 1.0ms (1.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (pow (/ (+ x y) x) (neg x)) x)> |
#<alt (pow (/ (+ x y) x) (neg x))> |
#<alt (/ (+ x y) x)> |
#<alt (+ x y)> |
#<alt (/ (- 1 y) x)> |
#<alt (- 1 y)> |
#<alt (/ (* 1/2 (* y y)) (* x x))> |
#<alt (* 1/2 (* y y))> |
#<alt (* y y)> |
#<alt (* x x)> |
#<alt (* (/ (* y y) (* x x)) (/ (* y -1/3) x))> |
#<alt (/ (* y y) (* x x))> |
#<alt (+ (* x (* (* y (* y y)) (+ (* x -1/6) -1/2))) (* (* y y) (* y -1/3)))> |
#<alt (/ (+ (* x (* (* y (* y y)) (+ (* x -1/6) -1/2))) (* (* y y) (* y -1/3))) (* x (* x x)))> |
#<alt (* (* y (* y y)) (+ (* x -1/6) -1/2))> |
#<alt (* y (* y y))> |
#<alt (neg x)> |
#<alt (* y -1/3)> |
#<alt (/ (* y -1/3) x)> |
| Outputs |
|---|
#<alt (/ 1 x)> |
#<alt (/ (+ 1 (* -1 (* x (+ (log y) (* -1 (log x)))))) x)> |
#<alt (/ (+ 1 (* x (+ (* -1 (+ (log y) (* -1 (log x)))) (* x (- (* 1/2 (pow (+ (log y) (* -1 (log x))) 2)) (/ 1 y)))))) x)> |
#<alt (/ (+ 1 (* x (+ (* -1 (+ (log y) (* -1 (log x)))) (* x (- (+ (* 1/2 (pow (+ (log y) (* -1 (log x))) 2)) (* x (+ (* -1 (/ (log x) y)) (+ (* -1/6 (pow (+ (log y) (* -1 (log x))) 3)) (+ (* 1/2 (/ 1 (pow y 2))) (/ (log y) y)))))) (/ 1 y)))))) x)> |
#<alt (/ (exp (* -1 y)) x)> |
#<alt (/ (+ (exp (* -1 y)) (* 1/2 (/ (* (pow y 2) (exp (* -1 y))) x))) x)> |
#<alt (/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (pow y 2) (exp (* -1 y))) x)) (/ (* (exp (* -1 y)) (+ (* -1/3 (pow y 3)) (* 1/8 (pow y 4)))) (pow x 2)))) x)> |
#<alt (/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (pow y 2) (exp (* -1 y))) x)) (+ (/ (* (exp (* -1 y)) (+ (* -1/3 (pow y 3)) (* 1/8 (pow y 4)))) (pow x 2)) (/ (* (exp (* -1 y)) (+ (* -1/6 (pow y 5)) (+ (* 1/48 (pow y 6)) (* 1/4 (pow y 4))))) (pow x 3))))) x)> |
#<alt (/ (exp (* -1 y)) x)> |
#<alt (* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1/2 (/ (* (pow y 2) (exp (* -1 y))) x))) x))> |
#<alt (* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* 1/2 (* (pow y 2) (exp (* -1 y)))) (/ (* (exp (* -1 y)) (+ (* -1/3 (pow y 3)) (* 1/8 (pow y 4)))) x)) x))) x))> |
#<alt (* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* -1 y)) (+ (* -1/3 (pow y 3)) (* 1/8 (pow y 4))))) (/ (* (exp (* -1 y)) (+ (* -1/4 (pow y 4)) (+ (* -1/48 (pow y 6)) (* 1/6 (pow y 5))))) x)) x)) (* 1/2 (* (pow y 2) (exp (* -1 y))))) 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 (* -1 (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))))) x)> |
#<alt (+ (* -1 (/ (* x (exp (* -1 (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))) y)) (/ (exp (* -1 (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))))) x))> |
#<alt (+ (* -1 (/ (* x (exp (* -1 (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))) y)) (+ (/ (exp (* -1 (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))))) x) (/ (* (exp (* -1 (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))))) (+ (* 1/2 (pow x 3)) (* 1/2 (pow x 4)))) (* x (pow y 2)))))> |
#<alt (+ (* -1 (/ (* x (exp (* -1 (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))) y)) (+ (/ (exp (* -1 (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))))) x) (+ (/ (* (exp (* -1 (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))))) (+ (* -1/2 (pow x 5)) (+ (* -1/3 (pow x 4)) (* -1/6 (pow x 6))))) (* x (pow y 3))) (/ (* (exp (* -1 (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))))) (+ (* 1/2 (pow x 3)) (* 1/2 (pow x 4)))) (* x (pow y 2))))))> |
#<alt (/ (exp (* -1 (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))) x)> |
#<alt (+ (* -1 (/ (* x (exp (* -1 (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))) y)) (/ (exp (* -1 (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))) x))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))) (+ (* 1/2 (pow x 3)) (* 1/2 (pow x 4)))) (* x y))) (* x (exp (* -1 (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))) y)) (/ (exp (* -1 (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))) x))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))) (+ (* 1/6 (pow x 6)) (+ (* 1/3 (pow x 4)) (* 1/2 (pow x 5))))) (* x y))) (/ (* (exp (* -1 (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))) (+ (* 1/2 (pow x 3)) (* 1/2 (pow x 4)))) x)) y)) (* x (exp (* -1 (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))) y)) (/ (exp (* -1 (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))) x))> |
#<alt 1> |
#<alt (+ 1 (* -1 (* x (+ (log y) (* -1 (log x))))))> |
#<alt (+ 1 (* x (+ (* -1 (+ (log y) (* -1 (log x)))) (* x (- (* 1/2 (pow (+ (log y) (* -1 (log x))) 2)) (/ 1 y))))))> |
#<alt (+ 1 (* x (+ (* -1 (+ (log y) (* -1 (log x)))) (* x (- (+ (* 1/2 (pow (+ (log y) (* -1 (log x))) 2)) (* x (+ (* -1 (/ (log x) y)) (+ (* -1/6 (pow (+ (log y) (* -1 (log x))) 3)) (+ (* 1/2 (/ 1 (pow y 2))) (/ (log y) y)))))) (/ 1 y))))))> |
#<alt (exp (* -1 y))> |
#<alt (+ (exp (* -1 y)) (* 1/2 (/ (* (pow y 2) (exp (* -1 y))) x)))> |
#<alt (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (pow y 2) (exp (* -1 y))) x)) (/ (* (exp (* -1 y)) (+ (* -1/3 (pow y 3)) (* 1/8 (pow y 4)))) (pow x 2))))> |
#<alt (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (pow y 2) (exp (* -1 y))) x)) (+ (/ (* (exp (* -1 y)) (+ (* -1/3 (pow y 3)) (* 1/8 (pow y 4)))) (pow x 2)) (/ (* (exp (* -1 y)) (+ (* -1/6 (pow y 5)) (+ (* 1/48 (pow y 6)) (* 1/4 (pow y 4))))) (pow x 3)))))> |
#<alt (exp (* -1 y))> |
#<alt (+ (exp (* -1 y)) (* 1/2 (/ (* (pow y 2) (exp (* -1 y))) x)))> |
#<alt (+ (exp (* -1 y)) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 y)) (+ (* -1/3 (pow y 3)) (* 1/8 (pow y 4)))) x)) (* -1/2 (* (pow y 2) (exp (* -1 y))))) x)))> |
#<alt (+ (exp (* -1 y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 y)) (+ (* -1/4 (pow y 4)) (+ (* -1/48 (pow y 6)) (* 1/6 (pow y 5))))) x)) (* (exp (* -1 y)) (+ (* -1/3 (pow y 3)) (* 1/8 (pow y 4))))) x)) (* -1/2 (* (pow y 2) (exp (* -1 y))))) 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 (* -1 (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))> |
#<alt (+ (exp (* -1 (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))))) (* -1 (/ (* (pow x 2) (exp (* -1 (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))) y)))> |
#<alt (+ (exp (* -1 (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))))) (+ (* -1 (/ (* (pow x 2) (exp (* -1 (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))) y)) (/ (* (exp (* -1 (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))))) (+ (* 1/2 (pow x 3)) (* 1/2 (pow x 4)))) (pow y 2))))> |
#<alt (+ (exp (* -1 (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))))) (+ (* -1 (/ (* (pow x 2) (exp (* -1 (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))) y)) (+ (/ (* (exp (* -1 (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))))) (+ (* -1/2 (pow x 5)) (+ (* -1/3 (pow x 4)) (* -1/6 (pow x 6))))) (pow y 3)) (/ (* (exp (* -1 (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))))) (+ (* 1/2 (pow x 3)) (* 1/2 (pow x 4)))) (pow y 2)))))> |
#<alt (exp (* -1 (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))> |
#<alt (+ (exp (* -1 (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))) (* -1 (/ (* (pow x 2) (exp (* -1 (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))) y)))> |
#<alt (+ (exp (* -1 (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))) (+ (* 1/2 (pow x 3)) (* 1/2 (pow x 4)))) y)) (* (pow x 2) (exp (* -1 (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))) y)))> |
#<alt (+ (exp (* -1 (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))) (+ (* 1/6 (pow x 6)) (+ (* 1/3 (pow x 4)) (* 1/2 (pow x 5))))) y)) (* (exp (* -1 (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))) (+ (* 1/2 (pow x 3)) (* 1/2 (pow x 4))))) y)) (* (pow x 2) (exp (* -1 (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))) y)))> |
#<alt (/ y x)> |
#<alt (/ (+ x y) x)> |
#<alt (/ (+ x y) x)> |
#<alt (/ (+ x y) x)> |
#<alt 1> |
#<alt (+ 1 (/ y x))> |
#<alt (+ 1 (/ y x))> |
#<alt (+ 1 (/ y x))> |
#<alt 1> |
#<alt (+ 1 (/ y x))> |
#<alt (+ 1 (/ y x))> |
#<alt (+ 1 (/ y x))> |
#<alt 1> |
#<alt (+ 1 (/ y x))> |
#<alt (+ 1 (/ y x))> |
#<alt (+ 1 (/ y x))> |
#<alt (/ y x)> |
#<alt (* y (+ (/ 1 x) (/ 1 y)))> |
#<alt (* y (+ (/ 1 x) (/ 1 y)))> |
#<alt (* y (+ (/ 1 x) (/ 1 y)))> |
#<alt (/ y x)> |
#<alt (* y (+ (/ 1 x) (/ 1 y)))> |
#<alt (* y (+ (/ 1 x) (/ 1 y)))> |
#<alt (* y (+ (/ 1 x) (/ 1 y)))> |
#<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)))> |
#<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))> |
#<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 (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (* -1/3 (/ (pow y 3) (pow x 3)))> |
#<alt (* -1/3 (/ (pow y 3) (pow x 3)))> |
#<alt (* -1/3 (/ (pow y 3) (pow x 3)))> |
#<alt (* -1/3 (/ (pow y 3) (pow x 3)))> |
#<alt (* -1/3 (/ (pow y 3) (pow x 3)))> |
#<alt (* -1/3 (/ (pow y 3) (pow x 3)))> |
#<alt (* -1/3 (/ (pow y 3) (pow x 3)))> |
#<alt (* -1/3 (/ (pow y 3) (pow x 3)))> |
#<alt (* -1/3 (/ (pow y 3) (pow x 3)))> |
#<alt (* -1/3 (/ (pow y 3) (pow x 3)))> |
#<alt (* -1/3 (/ (pow y 3) (pow x 3)))> |
#<alt (* -1/3 (/ (pow y 3) (pow x 3)))> |
#<alt (* -1/3 (/ (pow y 3) (pow x 3)))> |
#<alt (* -1/3 (/ (pow y 3) (pow x 3)))> |
#<alt (* -1/3 (/ (pow y 3) (pow x 3)))> |
#<alt (* -1/3 (/ (pow y 3) (pow x 3)))> |
#<alt (* -1/3 (/ (pow y 3) (pow x 3)))> |
#<alt (* -1/3 (/ (pow y 3) (pow x 3)))> |
#<alt (* -1/3 (/ (pow y 3) (pow x 3)))> |
#<alt (* -1/3 (/ (pow y 3) (pow x 3)))> |
#<alt (* -1/3 (/ (pow y 3) (pow x 3)))> |
#<alt (* -1/3 (/ (pow y 3) (pow x 3)))> |
#<alt (* -1/3 (/ (pow y 3) (pow x 3)))> |
#<alt (* -1/3 (/ (pow y 3) (pow x 3)))> |
#<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))> |
#<alt (* -1/3 (pow y 3))> |
#<alt (+ (* -1/2 (* x (pow y 3))) (* -1/3 (pow y 3)))> |
#<alt (+ (* -1/3 (pow y 3)) (* x (+ (* -1/2 (pow y 3)) (* -1/6 (* x (pow y 3))))))> |
#<alt (+ (* -1/3 (pow y 3)) (* x (+ (* -1/2 (pow y 3)) (* -1/6 (* x (pow y 3))))))> |
#<alt (* -1/6 (* (pow x 2) (pow y 3)))> |
#<alt (* (pow x 2) (+ (* -1/2 (/ (pow y 3) x)) (* -1/6 (pow y 3))))> |
#<alt (* (pow x 2) (+ (* -1/2 (/ (pow y 3) x)) (+ (* -1/3 (/ (pow y 3) (pow x 2))) (* -1/6 (pow y 3)))))> |
#<alt (* (pow x 2) (+ (* -1/2 (/ (pow y 3) x)) (+ (* -1/3 (/ (pow y 3) (pow x 2))) (* -1/6 (pow y 3)))))> |
#<alt (* -1/6 (* (pow x 2) (pow y 3)))> |
#<alt (* (pow x 2) (+ (* -1/2 (/ (pow y 3) x)) (* -1/6 (pow y 3))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* 1/3 (/ (pow y 3) x)) (* 1/2 (pow y 3))) x)) (* -1/6 (pow y 3))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* 1/3 (/ (pow y 3) x)) (* 1/2 (pow y 3))) x)) (* -1/6 (pow y 3))))> |
#<alt (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3))> |
#<alt (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3))> |
#<alt (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3))> |
#<alt (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3))> |
#<alt (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3))> |
#<alt (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3))> |
#<alt (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3))> |
#<alt (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3))> |
#<alt (* -1 (* (pow y 3) (+ 1/3 (* -1 (* x (- (* -1/6 x) 1/2))))))> |
#<alt (* -1 (* (pow y 3) (+ 1/3 (* -1 (* x (- (* -1/6 x) 1/2))))))> |
#<alt (* -1 (* (pow y 3) (+ 1/3 (* -1 (* x (- (* -1/6 x) 1/2))))))> |
#<alt (* -1 (* (pow y 3) (+ 1/3 (* -1 (* x (- (* -1/6 x) 1/2))))))> |
#<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 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 (/ (* (pow y 3) (+ 1/3 (* -1 (* x (- (* -1/6 x) 1/2))))) (pow x 3)))> |
#<alt (* -1 (/ (* (pow y 3) (+ 1/3 (* -1 (* x (- (* -1/6 x) 1/2))))) (pow x 3)))> |
#<alt (* -1 (/ (* (pow y 3) (+ 1/3 (* -1 (* x (- (* -1/6 x) 1/2))))) (pow x 3)))> |
#<alt (* -1 (/ (* (pow y 3) (+ 1/3 (* -1 (* x (- (* -1/6 x) 1/2))))) (pow x 3)))> |
#<alt (* (pow y 3) (- (* -1/6 x) 1/2))> |
#<alt (* (pow y 3) (- (* -1/6 x) 1/2))> |
#<alt (* (pow y 3) (- (* -1/6 x) 1/2))> |
#<alt (* (pow y 3) (- (* -1/6 x) 1/2))> |
#<alt (* (pow y 3) (- (* -1/6 x) 1/2))> |
#<alt (* (pow y 3) (- (* -1/6 x) 1/2))> |
#<alt (* (pow y 3) (- (* -1/6 x) 1/2))> |
#<alt (* (pow y 3) (- (* -1/6 x) 1/2))> |
#<alt (* (pow y 3) (- (* -1/6 x) 1/2))> |
#<alt (* (pow y 3) (- (* -1/6 x) 1/2))> |
#<alt (* (pow y 3) (- (* -1/6 x) 1/2))> |
#<alt (* (pow y 3) (- (* -1/6 x) 1/2))> |
#<alt (* -1/2 (pow y 3))> |
#<alt (+ (* -1/2 (pow y 3)) (* -1/6 (* x (pow y 3))))> |
#<alt (+ (* -1/2 (pow y 3)) (* -1/6 (* x (pow y 3))))> |
#<alt (+ (* -1/2 (pow y 3)) (* -1/6 (* x (pow y 3))))> |
#<alt (* -1/6 (* x (pow y 3)))> |
#<alt (* x (+ (* -1/2 (/ (pow y 3) x)) (* -1/6 (pow y 3))))> |
#<alt (* x (+ (* -1/2 (/ (pow y 3) x)) (* -1/6 (pow y 3))))> |
#<alt (* x (+ (* -1/2 (/ (pow y 3) x)) (* -1/6 (pow y 3))))> |
#<alt (* -1/6 (* x (pow y 3)))> |
#<alt (* -1 (* x (+ (* 1/6 (pow y 3)) (* 1/2 (/ (pow y 3) x)))))> |
#<alt (* -1 (* x (+ (* 1/6 (pow y 3)) (* 1/2 (/ (pow y 3) x)))))> |
#<alt (* -1 (* x (+ (* 1/6 (pow y 3)) (* 1/2 (/ (pow y 3) x)))))> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
#<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 (* -1/3 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)> |
#<alt (* -1/3 (/ y x))> |
#<alt (* -1/3 (/ y x))> |
#<alt (* -1/3 (/ y x))> |
#<alt (* -1/3 (/ y x))> |
#<alt (* -1/3 (/ y x))> |
#<alt (* -1/3 (/ y x))> |
#<alt (* -1/3 (/ y x))> |
#<alt (* -1/3 (/ y x))> |
#<alt (* -1/3 (/ y x))> |
#<alt (* -1/3 (/ y x))> |
#<alt (* -1/3 (/ y x))> |
#<alt (* -1/3 (/ y x))> |
#<alt (* -1/3 (/ y x))> |
#<alt (* -1/3 (/ y x))> |
#<alt (* -1/3 (/ y x))> |
#<alt (* -1/3 (/ y x))> |
#<alt (* -1/3 (/ y x))> |
#<alt (* -1/3 (/ y x))> |
#<alt (* -1/3 (/ y x))> |
#<alt (* -1/3 (/ y x))> |
#<alt (* -1/3 (/ y x))> |
#<alt (* -1/3 (/ y x))> |
#<alt (* -1/3 (/ y x))> |
#<alt (* -1/3 (/ y x))> |
93 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | y | @ | -inf | (/ (pow (/ (+ x y) x) (neg x)) x) |
| 1.0ms | x | @ | inf | (/ (pow (/ (+ x y) x) (neg x)) x) |
| 1.0ms | y | @ | inf | (/ (pow (/ (+ x y) x) (neg x)) x) |
| 1.0ms | x | @ | -inf | (/ (pow (/ (+ x y) x) (neg x)) x) |
| 1.0ms | x | @ | 0 | (/ (pow (/ (+ x y) x) (neg x)) x) |
| 1× | batch-egg-rewrite |
| 4 776× | accelerator-lowering-fma.f32 |
| 4 776× | accelerator-lowering-fma.f64 |
| 4 646× | *-lowering-*.f32 |
| 4 646× | *-lowering-*.f64 |
| 3 922× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 130 |
| 1 | 185 | 126 |
| 2 | 1462 | 124 |
| 0 | 8380 | 119 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (pow (/ (+ x y) x) (neg x)) x) |
(pow (/ (+ x y) x) (neg x)) |
(/ (+ x y) x) |
(+ x y) |
(/ (- 1 y) x) |
(- 1 y) |
(/ (* 1/2 (* y y)) (* x x)) |
(* 1/2 (* y y)) |
(* y y) |
(* x x) |
(* (/ (* y y) (* x x)) (/ (* y -1/3) x)) |
(/ (* y y) (* x x)) |
(+ (* x (* (* y (* y y)) (+ (* x -1/6) -1/2))) (* (* y y) (* y -1/3))) |
(/ (+ (* x (* (* y (* y y)) (+ (* x -1/6) -1/2))) (* (* y y) (* y -1/3))) (* x (* x x))) |
(* (* y (* y y)) (+ (* x -1/6) -1/2)) |
(* y (* y y)) |
(neg x) |
(* y -1/3) |
(/ (* y -1/3) x) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (*.f64 x (pow.f64 (/.f64 (+.f64 x y) x) x))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) (neg.f64 x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.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))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.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 (+.f64 x y) x) x))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (neg.f64 x) (pow.f64 (/.f64 (+.f64 x y) x) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 (+.f64 x y) x) x) (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (neg.f64 (pow.f64 (/.f64 x (+.f64 x y)) x)) (neg.f64 x)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (+.f64 x y) x) x)) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (pow.f64 (/.f64 (+.f64 x y) x) x))) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (pow.f64 (/.f64 (+.f64 x y) x) x))) |
(pow.f64 (*.f64 x (pow.f64 (/.f64 (+.f64 x y) x) x)) #s(literal -1 binary64)) |
(*.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)) |
(*.f64 (neg.f64 (pow.f64 (/.f64 x (+.f64 x y)) x)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 x (+.f64 x y)) x)) |
(*.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) (*.f64 (neg.f64 x) (pow.f64 (/.f64 (+.f64 x y) x) x)))) |
(*.f64 (pow.f64 (/.f64 (+.f64 x y) x) (*.f64 x #s(literal -1/2 binary64))) (/.f64 (pow.f64 (/.f64 (+.f64 x y) x) (*.f64 x #s(literal -1/2 binary64))) x)) |
(*.f64 (pow.f64 (/.f64 (+.f64 x y) x) (*.f64 x #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (+.f64 x y) x) (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (pow.f64 (+.f64 x y) (neg.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x (neg.f64 x)))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (pow.f64 (/.f64 (+.f64 x y) x) (*.f64 x #s(literal -1/2 binary64))) x) (/.f64 (neg.f64 (pow.f64 (/.f64 (+.f64 x y) x) (*.f64 x #s(literal -1/2 binary64)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (pow.f64 (/.f64 (+.f64 x y) x) (*.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 (/.f64 (+.f64 x y) x) (*.f64 x #s(literal -1/2 binary64)))) x)) |
(*.f64 (/.f64 (neg.f64 (pow.f64 (/.f64 (+.f64 x y) x) (*.f64 x #s(literal -1/2 binary64)))) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 (+.f64 x y) x) (*.f64 x #s(literal -1/2 binary64))) x)) |
(*.f64 (/.f64 (neg.f64 (pow.f64 (/.f64 (+.f64 x y) x) (*.f64 x #s(literal -1/2 binary64)))) x) (/.f64 (pow.f64 (/.f64 (+.f64 x y) x) (*.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 x (pow.f64 (/.f64 (+.f64 x y) x) x)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x (pow.f64 (/.f64 (+.f64 x y) x) x)) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 x y))) x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) x)) (fma.f64 x #s(literal -1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) x)) (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal -1/2 binary64))))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (+.f64 x y) x) x)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (+.f64 x y) x) (*.f64 x #s(literal -1/2 binary64)))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (+.f64 x y) (+.f64 x y)))) (*.f64 x #s(literal -1/2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) x)) x) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) x)) (*.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (fma.f64 (log.f64 (/.f64 (+.f64 x y) x)) (*.f64 x #s(literal -1/2 binary64)) (*.f64 (log.f64 (/.f64 (+.f64 x y) x)) (*.f64 x #s(literal -1/2 binary64))))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (/.f64 x (+.f64 x y)) x))) |
(-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) #s(literal -1 binary64))) |
(neg.f64 (neg.f64 (pow.f64 (/.f64 x (+.f64 x y)) x))) |
(neg.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) #s(literal -1 binary64))) |
(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 x y) x) x)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (/.f64 (+.f64 x y) x) x)))) |
(/.f64 (neg.f64 (pow.f64 (/.f64 x (+.f64 x y)) x)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 (+.f64 x y) x) x))) |
(pow.f64 (/.f64 (+.f64 x y) x) (neg.f64 x)) |
(pow.f64 (/.f64 (+.f64 x y) x) (fma.f64 x #s(literal -1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) |
(pow.f64 (/.f64 (+.f64 x y) x) (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal -1/2 binary64)))) |
(pow.f64 (/.f64 (+.f64 x y) x) (*.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(pow.f64 (pow.f64 (/.f64 (+.f64 x y) x) x) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x (+.f64 x y)) x) |
(pow.f64 (/.f64 x (+.f64 x y)) (*.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) |
(pow.f64 (/.f64 x (+.f64 x y)) (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal -1/2 binary64))))) |
(pow.f64 (pow.f64 (/.f64 (+.f64 x y) x) (*.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (+.f64 x y) (+.f64 x y))) (*.f64 x #s(literal -1/2 binary64))) |
(pow.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (+.f64 x y) (+.f64 x y))) (neg.f64 x)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (+.f64 x y) (+.f64 x y))) #s(literal -1 binary64)) (*.f64 x #s(literal 1/2 binary64))) |
(pow.f64 (exp.f64 (neg.f64 x)) (log.f64 (/.f64 (+.f64 x y) x))) |
(*.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (+.f64 x y)) x)) |
(*.f64 (neg.f64 (pow.f64 (/.f64 x (+.f64 x y)) x)) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 x (+.f64 x y)) x))) |
(*.f64 (pow.f64 (/.f64 (+.f64 x y) x) (*.f64 x #s(literal -1/2 binary64))) (pow.f64 (/.f64 (+.f64 x y) x) (*.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 (/.f64 (+.f64 x y) x) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 (neg.f64 (pow.f64 (/.f64 (+.f64 x y) x) (*.f64 x #s(literal -1/2 binary64)))))) |
(*.f64 (pow.f64 (+.f64 x y) (neg.f64 x)) (pow.f64 x x)) |
(*.f64 (pow.f64 x x) (pow.f64 (+.f64 x y) (neg.f64 x))) |
(*.f64 (neg.f64 (pow.f64 (/.f64 (+.f64 x y) x) (*.f64 x #s(literal -1/2 binary64)))) (neg.f64 (pow.f64 (/.f64 (+.f64 x y) x) (*.f64 x #s(literal -1/2 binary64))))) |
(*.f64 (pow.f64 #s(literal 1 binary64) (neg.f64 x)) (pow.f64 (/.f64 x (+.f64 x y)) x)) |
(*.f64 (pow.f64 (-.f64 (neg.f64 x) y) (neg.f64 x)) (pow.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x))) |
(*.f64 (pow.f64 (+.f64 x y) (fma.f64 x #s(literal -1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (pow.f64 (+.f64 x y) (fma.f64 x #s(literal -1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) |
(*.f64 (pow.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (pow.f64 (/.f64 x (+.f64 x y)) x)) |
(*.f64 (pow.f64 (-.f64 (neg.f64 x) y) (fma.f64 x #s(literal -1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (pow.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x #s(literal -1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) |
(*.f64 (pow.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal -1/2 binary64))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (pow.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal -1/2 binary64))))) |
(*.f64 (pow.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (pow.f64 (/.f64 x (+.f64 x y)) x)) |
(*.f64 (pow.f64 (-.f64 (neg.f64 x) y) (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (pow.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal -1/2 binary64))))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 x y) x) (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 (+.f64 x y) x) (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 x y) (*.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (/.f64 (+.f64 x y) x) (/.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64))) (pow.f64 (/.f64 (+.f64 x y) x) (/.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (/.f64 (+.f64 x y) x) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64))) (pow.f64 (/.f64 (+.f64 x y) x) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 x y) x) x) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (/.f64 (+.f64 x y) x) x) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 x y) x) (*.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (/.f64 (+.f64 x y) x) (*.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
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(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/216 binary64) #s(literal -1/8 binary64)) (*.f64 y (*.f64 y y))) (+.f64 (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/12 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (*.f64 y (*.f64 y y))) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/216 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))))) (neg.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/2 binary64))))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)))) (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) y)))) (neg.f64 (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) y)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/216 binary64) #s(literal -1/8 binary64)))) (neg.f64 (+.f64 (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/12 binary64))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) #s(literal -1/4 binary64)))) (fma.f64 x #s(literal 1/6 binary64) #s(literal -1/2 binary64))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/216 binary64) #s(literal -1/8 binary64)) (*.f64 y (*.f64 y y)))) (neg.f64 (+.f64 (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/12 binary64))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (*.f64 y (*.f64 y y)))) (fma.f64 x #s(literal 1/6 binary64) #s(literal -1/2 binary64))) |
(/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/216 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y (*.f64 y y)))))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (-.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y (*.f64 y y)))))) |
(*.f64 y (*.f64 y (*.f64 y (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64))))) |
(*.f64 (*.f64 y y) (*.f64 y (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64))) |
(*.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) (*.f64 y (*.f64 y y))) |
(*.f64 (*.f64 y (*.f64 y (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)))) y) |
(*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/216 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/2 binary64))))))) |
(*.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)))) (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) y))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) y)))) |
(*.f64 (*.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) y) (*.f64 y y)) |
(*.f64 (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/216 binary64) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/12 binary64))))) |
(*.f64 (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/216 binary64) #s(literal -1/8 binary64)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/12 binary64))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 3 binary64))) |
(pow.f64 y #s(literal 3 binary64)) |
(pow.f64 (*.f64 y y) #s(literal 3/2 binary64)) |
(pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 3 binary64)) |
(*.f64 y (*.f64 y y)) |
(*.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) |
(*.f64 (*.f64 y y) y) |
(*.f64 (*.f64 y (*.f64 y y)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) |
(+.f64 #s(literal 0 binary64) (neg.f64 x)) |
(-.f64 #s(literal 0 binary64) x) |
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 x x) x)) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x #s(literal 0 binary64)))) |
(neg.f64 x) |
(neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x #s(literal 0 binary64)))) |
(neg.f64 (/.f64 (*.f64 x x) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 x (neg.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (*.f64 x (neg.f64 x))))) |
(/.f64 (*.f64 x x) (neg.f64 x)) |
(/.f64 (*.f64 x (*.f64 x x)) (neg.f64 (fma.f64 x x #s(literal 0 binary64)))) |
(/.f64 (*.f64 x (neg.f64 x)) x) |
(/.f64 (*.f64 x (*.f64 x (neg.f64 x))) (fma.f64 x x #s(literal 0 binary64))) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) (neg.f64 x))))) |
(*.f64 x #s(literal -1 binary64)) |
(*.f64 (*.f64 x (neg.f64 x)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (*.f64 x (*.f64 x (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(*.f64 #s(literal -1 binary64) x) |
(-.f64 #s(literal 0 binary64) (*.f64 y #s(literal 1/3 binary64))) |
(neg.f64 (*.f64 y #s(literal 1/3 binary64))) |
(*.f64 y #s(literal -1/3 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1/3 binary64))) |
(*.f64 #s(literal -1/3 binary64) y) |
(*.f64 (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) |
(*.f64 (neg.f64 y) #s(literal 1/3 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/3 binary64))) |
(*.f64 #s(literal 1/3 binary64) (neg.f64 y)) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (*.f64 y #s(literal -1/3 binary64)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 y #s(literal 1/3 binary64)) x)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (*.f64 y #s(literal 1/3 binary64)) x)) |
(neg.f64 (/.f64 (*.f64 y #s(literal 1/3 binary64)) x)) |
(neg.f64 (*.f64 (/.f64 (*.f64 y #s(literal 1/3 binary64)) x) #s(literal 1 binary64))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 1/3 binary64)) x))) |
(/.f64 y (*.f64 x #s(literal -3 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y #s(literal -1/3 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (*.f64 y #s(literal -1/3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (*.f64 y #s(literal 1/3 binary64)) #s(literal -1 binary64)))) |
(/.f64 #s(literal -1/3 binary64) (/.f64 x y)) |
(/.f64 (*.f64 y #s(literal -1/3 binary64)) x) |
(/.f64 (*.f64 y #s(literal 1/3 binary64)) (neg.f64 x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (*.f64 y #s(literal -1/3 binary64))))) |
(/.f64 (*.f64 (*.f64 y #s(literal 1/3 binary64)) #s(literal -1 binary64)) x) |
(/.f64 (neg.f64 (*.f64 (*.f64 y #s(literal 1/3 binary64)) #s(literal -1 binary64))) (neg.f64 x)) |
(pow.f64 (/.f64 x (*.f64 y #s(literal -1/3 binary64))) #s(literal -1 binary64)) |
(*.f64 y (/.f64 #s(literal -1/3 binary64) x)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal -1/3 binary64)) x)) |
(*.f64 #s(literal -1/3 binary64) (/.f64 y x)) |
(*.f64 (*.f64 y #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (*.f64 y #s(literal -1/3 binary64)) x) #s(literal 1 binary64)) |
(*.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y #s(literal -1/3 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1/3 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 y x) #s(literal -1/3 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y #s(literal 1/3 binary64)) x)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 x (*.f64 y #s(literal -1/3 binary64)))))) |
(*.f64 (/.f64 #s(literal -1/3 binary64) x) y) |
(*.f64 (/.f64 #s(literal -1/3 binary64) x) (/.f64 (neg.f64 y) #s(literal -1 binary64))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (neg.f64 y) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 y #s(literal -1/3 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 y #s(literal 1/3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 #s(literal -1/3 binary64) x)) |
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) x)) |
(*.f64 (/.f64 (neg.f64 y) x) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) x) (/.f64 y #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal -1/3 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x (*.f64 y #s(literal -1/3 binary64))) #s(literal -1/2 binary64))) |
| 1× | egg-herbie |
| 13 148× | accelerator-lowering-fma.f32 |
| 13 148× | accelerator-lowering-fma.f64 |
| 6 438× | *-lowering-*.f32 |
| 6 438× | *-lowering-*.f64 |
| 4 102× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 368 | 4248 |
| 1 | 1054 | 3898 |
| 2 | 3217 | 3471 |
| 0 | 8424 | 3316 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 x) |
(/ (+ 1 (* -1 (* x (+ (log y) (* -1 (log x)))))) x) |
(/ (+ 1 (* x (+ (* -1 (+ (log y) (* -1 (log x)))) (* x (- (* 1/2 (pow (+ (log y) (* -1 (log x))) 2)) (/ 1 y)))))) x) |
(/ (+ 1 (* x (+ (* -1 (+ (log y) (* -1 (log x)))) (* x (- (+ (* 1/2 (pow (+ (log y) (* -1 (log x))) 2)) (* x (+ (* -1 (/ (log x) y)) (+ (* -1/6 (pow (+ (log y) (* -1 (log x))) 3)) (+ (* 1/2 (/ 1 (pow y 2))) (/ (log y) y)))))) (/ 1 y)))))) x) |
(/ (exp (* -1 y)) x) |
(/ (+ (exp (* -1 y)) (* 1/2 (/ (* (pow y 2) (exp (* -1 y))) x))) x) |
(/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (pow y 2) (exp (* -1 y))) x)) (/ (* (exp (* -1 y)) (+ (* -1/3 (pow y 3)) (* 1/8 (pow y 4)))) (pow x 2)))) x) |
(/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (pow y 2) (exp (* -1 y))) x)) (+ (/ (* (exp (* -1 y)) (+ (* -1/3 (pow y 3)) (* 1/8 (pow y 4)))) (pow x 2)) (/ (* (exp (* -1 y)) (+ (* -1/6 (pow y 5)) (+ (* 1/48 (pow y 6)) (* 1/4 (pow y 4))))) (pow x 3))))) x) |
(/ (exp (* -1 y)) x) |
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1/2 (/ (* (pow y 2) (exp (* -1 y))) x))) x)) |
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* 1/2 (* (pow y 2) (exp (* -1 y)))) (/ (* (exp (* -1 y)) (+ (* -1/3 (pow y 3)) (* 1/8 (pow y 4)))) x)) x))) x)) |
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* -1 y)) (+ (* -1/3 (pow y 3)) (* 1/8 (pow y 4))))) (/ (* (exp (* -1 y)) (+ (* -1/4 (pow y 4)) (+ (* -1/48 (pow y 6)) (* 1/6 (pow y 5))))) x)) x)) (* 1/2 (* (pow y 2) (exp (* -1 y))))) 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 (* -1 (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))))) x) |
(+ (* -1 (/ (* x (exp (* -1 (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))) y)) (/ (exp (* -1 (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))))) x)) |
(+ (* -1 (/ (* x (exp (* -1 (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))) y)) (+ (/ (exp (* -1 (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))))) x) (/ (* (exp (* -1 (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))))) (+ (* 1/2 (pow x 3)) (* 1/2 (pow x 4)))) (* x (pow y 2))))) |
(+ (* -1 (/ (* x (exp (* -1 (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))) y)) (+ (/ (exp (* -1 (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))))) x) (+ (/ (* (exp (* -1 (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))))) (+ (* -1/2 (pow x 5)) (+ (* -1/3 (pow x 4)) (* -1/6 (pow x 6))))) (* x (pow y 3))) (/ (* (exp (* -1 (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))))) (+ (* 1/2 (pow x 3)) (* 1/2 (pow x 4)))) (* x (pow y 2)))))) |
(/ (exp (* -1 (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))) x) |
(+ (* -1 (/ (* x (exp (* -1 (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))) y)) (/ (exp (* -1 (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))) x)) |
(+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))) (+ (* 1/2 (pow x 3)) (* 1/2 (pow x 4)))) (* x y))) (* x (exp (* -1 (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))) y)) (/ (exp (* -1 (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))) x)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))) (+ (* 1/6 (pow x 6)) (+ (* 1/3 (pow x 4)) (* 1/2 (pow x 5))))) (* x y))) (/ (* (exp (* -1 (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))) (+ (* 1/2 (pow x 3)) (* 1/2 (pow x 4)))) x)) y)) (* x (exp (* -1 (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))) y)) (/ (exp (* -1 (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))) x)) |
1 |
(+ 1 (* -1 (* x (+ (log y) (* -1 (log x)))))) |
(+ 1 (* x (+ (* -1 (+ (log y) (* -1 (log x)))) (* x (- (* 1/2 (pow (+ (log y) (* -1 (log x))) 2)) (/ 1 y)))))) |
(+ 1 (* x (+ (* -1 (+ (log y) (* -1 (log x)))) (* x (- (+ (* 1/2 (pow (+ (log y) (* -1 (log x))) 2)) (* x (+ (* -1 (/ (log x) y)) (+ (* -1/6 (pow (+ (log y) (* -1 (log x))) 3)) (+ (* 1/2 (/ 1 (pow y 2))) (/ (log y) y)))))) (/ 1 y)))))) |
(exp (* -1 y)) |
(+ (exp (* -1 y)) (* 1/2 (/ (* (pow y 2) (exp (* -1 y))) x))) |
(+ (exp (* -1 y)) (+ (* 1/2 (/ (* (pow y 2) (exp (* -1 y))) x)) (/ (* (exp (* -1 y)) (+ (* -1/3 (pow y 3)) (* 1/8 (pow y 4)))) (pow x 2)))) |
(+ (exp (* -1 y)) (+ (* 1/2 (/ (* (pow y 2) (exp (* -1 y))) x)) (+ (/ (* (exp (* -1 y)) (+ (* -1/3 (pow y 3)) (* 1/8 (pow y 4)))) (pow x 2)) (/ (* (exp (* -1 y)) (+ (* -1/6 (pow y 5)) (+ (* 1/48 (pow y 6)) (* 1/4 (pow y 4))))) (pow x 3))))) |
(exp (* -1 y)) |
(+ (exp (* -1 y)) (* 1/2 (/ (* (pow y 2) (exp (* -1 y))) x))) |
(+ (exp (* -1 y)) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 y)) (+ (* -1/3 (pow y 3)) (* 1/8 (pow y 4)))) x)) (* -1/2 (* (pow y 2) (exp (* -1 y))))) x))) |
(+ (exp (* -1 y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 y)) (+ (* -1/4 (pow y 4)) (+ (* -1/48 (pow y 6)) (* 1/6 (pow y 5))))) x)) (* (exp (* -1 y)) (+ (* -1/3 (pow y 3)) (* 1/8 (pow y 4))))) x)) (* -1/2 (* (pow y 2) (exp (* -1 y))))) 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 (* -1 (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))))) |
(+ (exp (* -1 (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))))) (* -1 (/ (* (pow x 2) (exp (* -1 (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))) y))) |
(+ (exp (* -1 (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))))) (+ (* -1 (/ (* (pow x 2) (exp (* -1 (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))) y)) (/ (* (exp (* -1 (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))))) (+ (* 1/2 (pow x 3)) (* 1/2 (pow x 4)))) (pow y 2)))) |
(+ (exp (* -1 (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))))) (+ (* -1 (/ (* (pow x 2) (exp (* -1 (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))) y)) (+ (/ (* (exp (* -1 (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))))) (+ (* -1/2 (pow x 5)) (+ (* -1/3 (pow x 4)) (* -1/6 (pow x 6))))) (pow y 3)) (/ (* (exp (* -1 (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y))))))) (+ (* 1/2 (pow x 3)) (* 1/2 (pow x 4)))) (pow y 2))))) |
(exp (* -1 (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))) |
(+ (exp (* -1 (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))) (* -1 (/ (* (pow x 2) (exp (* -1 (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y)))))))) y))) |
(+ (exp (* -1 (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))) (+ (* 1/2 (pow x 3)) (* 1/2 (pow x 4)))) y)) (* (pow x 2) (exp (* -1 (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))))) y))) |
(+ (exp (* -1 (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))) (+ (* 1/6 (pow x 6)) (+ (* 1/3 (pow x 4)) (* 1/2 (pow x 5))))) y)) (* (exp (* -1 (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 y))))))) (+ (* 1/2 (pow x 3)) (* 1/2 (pow x 4))))) y)) (* (pow x 2) (exp (* -1 (* x (+ (log (/ -1 x)) (* -1 (log (/ -1 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))) |
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))) |
(/ 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)) |
(* 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) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* -1/3 (/ (pow y 3) (pow x 3))) |
(* -1/3 (/ (pow y 3) (pow x 3))) |
(* -1/3 (/ (pow y 3) (pow x 3))) |
(* -1/3 (/ (pow y 3) (pow x 3))) |
(* -1/3 (/ (pow y 3) (pow x 3))) |
(* -1/3 (/ (pow y 3) (pow x 3))) |
(* -1/3 (/ (pow y 3) (pow x 3))) |
(* -1/3 (/ (pow y 3) (pow x 3))) |
(* -1/3 (/ (pow y 3) (pow x 3))) |
(* -1/3 (/ (pow y 3) (pow x 3))) |
(* -1/3 (/ (pow y 3) (pow x 3))) |
(* -1/3 (/ (pow y 3) (pow x 3))) |
(* -1/3 (/ (pow y 3) (pow x 3))) |
(* -1/3 (/ (pow y 3) (pow x 3))) |
(* -1/3 (/ (pow y 3) (pow x 3))) |
(* -1/3 (/ (pow y 3) (pow x 3))) |
(* -1/3 (/ (pow y 3) (pow x 3))) |
(* -1/3 (/ (pow y 3) (pow x 3))) |
(* -1/3 (/ (pow y 3) (pow x 3))) |
(* -1/3 (/ (pow y 3) (pow x 3))) |
(* -1/3 (/ (pow y 3) (pow x 3))) |
(* -1/3 (/ (pow y 3) (pow x 3))) |
(* -1/3 (/ (pow y 3) (pow x 3))) |
(* -1/3 (/ (pow y 3) (pow x 3))) |
(/ (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)) |
(* -1/3 (pow y 3)) |
(+ (* -1/2 (* x (pow y 3))) (* -1/3 (pow y 3))) |
(+ (* -1/3 (pow y 3)) (* x (+ (* -1/2 (pow y 3)) (* -1/6 (* x (pow y 3)))))) |
(+ (* -1/3 (pow y 3)) (* x (+ (* -1/2 (pow y 3)) (* -1/6 (* x (pow y 3)))))) |
(* -1/6 (* (pow x 2) (pow y 3))) |
(* (pow x 2) (+ (* -1/2 (/ (pow y 3) x)) (* -1/6 (pow y 3)))) |
(* (pow x 2) (+ (* -1/2 (/ (pow y 3) x)) (+ (* -1/3 (/ (pow y 3) (pow x 2))) (* -1/6 (pow y 3))))) |
(* (pow x 2) (+ (* -1/2 (/ (pow y 3) x)) (+ (* -1/3 (/ (pow y 3) (pow x 2))) (* -1/6 (pow y 3))))) |
(* -1/6 (* (pow x 2) (pow y 3))) |
(* (pow x 2) (+ (* -1/2 (/ (pow y 3) x)) (* -1/6 (pow y 3)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* 1/3 (/ (pow y 3) x)) (* 1/2 (pow y 3))) x)) (* -1/6 (pow y 3)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* 1/3 (/ (pow y 3) x)) (* 1/2 (pow y 3))) x)) (* -1/6 (pow y 3)))) |
(* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) |
(* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) |
(* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) |
(* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) |
(* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) |
(* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) |
(* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) |
(* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) |
(* -1 (* (pow y 3) (+ 1/3 (* -1 (* x (- (* -1/6 x) 1/2)))))) |
(* -1 (* (pow y 3) (+ 1/3 (* -1 (* x (- (* -1/6 x) 1/2)))))) |
(* -1 (* (pow y 3) (+ 1/3 (* -1 (* x (- (* -1/6 x) 1/2)))))) |
(* -1 (* (pow y 3) (+ 1/3 (* -1 (* x (- (* -1/6 x) 1/2)))))) |
(* -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 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 (/ (* (pow y 3) (+ 1/3 (* -1 (* x (- (* -1/6 x) 1/2))))) (pow x 3))) |
(* -1 (/ (* (pow y 3) (+ 1/3 (* -1 (* x (- (* -1/6 x) 1/2))))) (pow x 3))) |
(* -1 (/ (* (pow y 3) (+ 1/3 (* -1 (* x (- (* -1/6 x) 1/2))))) (pow x 3))) |
(* -1 (/ (* (pow y 3) (+ 1/3 (* -1 (* x (- (* -1/6 x) 1/2))))) (pow x 3))) |
(* (pow y 3) (- (* -1/6 x) 1/2)) |
(* (pow y 3) (- (* -1/6 x) 1/2)) |
(* (pow y 3) (- (* -1/6 x) 1/2)) |
(* (pow y 3) (- (* -1/6 x) 1/2)) |
(* (pow y 3) (- (* -1/6 x) 1/2)) |
(* (pow y 3) (- (* -1/6 x) 1/2)) |
(* (pow y 3) (- (* -1/6 x) 1/2)) |
(* (pow y 3) (- (* -1/6 x) 1/2)) |
(* (pow y 3) (- (* -1/6 x) 1/2)) |
(* (pow y 3) (- (* -1/6 x) 1/2)) |
(* (pow y 3) (- (* -1/6 x) 1/2)) |
(* (pow y 3) (- (* -1/6 x) 1/2)) |
(* -1/2 (pow y 3)) |
(+ (* -1/2 (pow y 3)) (* -1/6 (* x (pow y 3)))) |
(+ (* -1/2 (pow y 3)) (* -1/6 (* x (pow y 3)))) |
(+ (* -1/2 (pow y 3)) (* -1/6 (* x (pow y 3)))) |
(* -1/6 (* x (pow y 3))) |
(* x (+ (* -1/2 (/ (pow y 3) x)) (* -1/6 (pow y 3)))) |
(* x (+ (* -1/2 (/ (pow y 3) x)) (* -1/6 (pow y 3)))) |
(* x (+ (* -1/2 (/ (pow y 3) x)) (* -1/6 (pow y 3)))) |
(* -1/6 (* x (pow y 3))) |
(* -1 (* x (+ (* 1/6 (pow y 3)) (* 1/2 (/ (pow y 3) x))))) |
(* -1 (* x (+ (* 1/6 (pow y 3)) (* 1/2 (/ (pow y 3) x))))) |
(* -1 (* x (+ (* 1/6 (pow y 3)) (* 1/2 (/ (pow y 3) x))))) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1/3 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) |
(* -1/3 (/ y x)) |
(* -1/3 (/ y x)) |
(* -1/3 (/ y x)) |
(* -1/3 (/ y x)) |
(* -1/3 (/ y x)) |
(* -1/3 (/ y x)) |
(* -1/3 (/ y x)) |
(* -1/3 (/ y x)) |
(* -1/3 (/ y x)) |
(* -1/3 (/ y x)) |
(* -1/3 (/ y x)) |
(* -1/3 (/ y x)) |
(* -1/3 (/ y x)) |
(* -1/3 (/ y x)) |
(* -1/3 (/ y x)) |
(* -1/3 (/ y x)) |
(* -1/3 (/ y x)) |
(* -1/3 (/ y x)) |
(* -1/3 (/ y x)) |
(* -1/3 (/ y x)) |
(* -1/3 (/ y x)) |
(* -1/3 (/ y x)) |
(* -1/3 (/ y x)) |
(* -1/3 (/ y x)) |
| Outputs |
|---|
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* -1 (* x (+ (log y) (* -1 (log x)))))) x) |
(/.f64 (fma.f64 x (-.f64 (log.f64 x) (log.f64 y)) #s(literal 1 binary64)) x) |
(/ (+ 1 (* x (+ (* -1 (+ (log y) (* -1 (log x)))) (* x (- (* 1/2 (pow (+ (log y) (* -1 (log x))) 2)) (/ 1 y)))))) x) |
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 y) (log.f64 x)) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) y)) (-.f64 (log.f64 x) (log.f64 y))) #s(literal 1 binary64)) x) |
(/ (+ 1 (* x (+ (* -1 (+ (log y) (* -1 (log x)))) (* x (- (+ (* 1/2 (pow (+ (log y) (* -1 (log x))) 2)) (* x (+ (* -1 (/ (log x) y)) (+ (* -1/6 (pow (+ (log y) (* -1 (log x))) 3)) (+ (* 1/2 (/ 1 (pow y 2))) (/ (log y) y)))))) (/ 1 y)))))) x) |
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 (-.f64 (log.f64 y) (log.f64 x)) #s(literal 3 binary64)) (-.f64 (/.f64 (log.f64 y) y) (/.f64 (log.f64 x) y)))) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 y) (log.f64 x)) #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 (/ (* (pow y 2) (exp (* -1 y))) x))) x) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 y)) (/.f64 (*.f64 y y) x)) (exp.f64 (neg.f64 y))) x) |
(/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (pow y 2) (exp (* -1 y))) x)) (/ (* (exp (* -1 y)) (+ (* -1/3 (pow y 3)) (* 1/8 (pow y 4)))) (pow x 2)))) x) |
(/.f64 (fma.f64 (/.f64 (exp.f64 (neg.f64 y)) x) (fma.f64 y (*.f64 y #s(literal 1/2 binary64)) (/.f64 (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 4 binary64)))) x)) (exp.f64 (neg.f64 y))) x) |
(/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (pow y 2) (exp (* -1 y))) x)) (+ (/ (* (exp (* -1 y)) (+ (* -1/3 (pow y 3)) (* 1/8 (pow y 4)))) (pow x 2)) (/ (* (exp (* -1 y)) (+ (* -1/6 (pow y 5)) (+ (* 1/48 (pow y 6)) (* 1/4 (pow y 4))))) (pow x 3))))) x) |
(/.f64 (fma.f64 (/.f64 (exp.f64 (neg.f64 y)) x) (fma.f64 y (*.f64 y #s(literal 1/2 binary64)) (/.f64 (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 4 binary64)))) x)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 5 binary64)) (fma.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 6 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/4 binary64)))) (*.f64 x (*.f64 x x))) #s(literal 1 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 (/ (* (pow y 2) (exp (* -1 y))) x))) x)) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal -1/2 binary64) x)) (exp.f64 (neg.f64 y))) (neg.f64 x)) |
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* 1/2 (* (pow y 2) (exp (* -1 y)))) (/ (* (exp (* -1 y)) (+ (* -1/3 (pow y 3)) (* 1/8 (pow y 4)))) x)) x))) x)) |
(/.f64 (+.f64 (exp.f64 (neg.f64 y)) (/.f64 (*.f64 (exp.f64 (neg.f64 y)) (fma.f64 y (*.f64 y #s(literal 1/2 binary64)) (/.f64 (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 4 binary64)))) x))) x)) x) |
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* -1 y)) (+ (* -1/3 (pow y 3)) (* 1/8 (pow y 4))))) (/ (* (exp (* -1 y)) (+ (* -1/4 (pow y 4)) (+ (* -1/48 (pow y 6)) (* 1/6 (pow y 5))))) x)) x)) (* 1/2 (* (pow y 2) (exp (* -1 y))))) 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 (*.f64 (exp.f64 (neg.f64 y)) (-.f64 (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/4 binary64) (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/48 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) #s(literal 1/6 binary64)))) x))) x)) x)) x) |
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(/.f64 (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x #s(literal -1/2 binary64) #s(literal -1/3 binary64))) (*.f64 x (*.f64 x x))) |
(/ (+ (* -1/3 (pow y 3)) (* x (+ (* -1/2 (pow y 3)) (* -1/6 (* x (pow y 3)))))) (pow x 3)) |
(*.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 (*.f64 y y)) (*.f64 x (*.f64 x x)))) |
(/ (+ (* -1/3 (pow y 3)) (* x (+ (* -1/2 (pow y 3)) (* -1/6 (* x (pow y 3)))))) (pow x 3)) |
(*.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 (*.f64 y y)) (*.f64 x (*.f64 x x)))) |
(* -1/6 (/ (pow y 3) x)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y (/.f64 (*.f64 y y) x))) |
(/ (+ (* -1/2 (/ (pow y 3) x)) (* -1/6 (pow y 3))) x) |
(/.f64 (*.f64 (*.f64 y (*.f64 y y)) (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1/6 binary64))) x) |
(/ (+ (* -1/2 (/ (pow y 3) x)) (+ (* -1/3 (/ (pow y 3) (pow x 2))) (* -1/6 (pow y 3)))) x) |
(/.f64 (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 (*.f64 y (/.f64 (*.f64 y y) x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)))) x) |
(/ (+ (* -1/2 (/ (pow y 3) x)) (+ (* -1/3 (/ (pow y 3) (pow x 2))) (* -1/6 (pow y 3)))) x) |
(/.f64 (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 (*.f64 y (/.f64 (*.f64 y y) x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)))) x) |
(* -1/6 (/ (pow y 3) x)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y (/.f64 (*.f64 y y) x))) |
(* -1 (/ (+ (* 1/6 (pow y 3)) (* 1/2 (/ (pow y 3) x))) x)) |
(/.f64 (*.f64 (*.f64 y (*.f64 y y)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) (neg.f64 x)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (pow y 3)) (* -1/3 (/ (pow y 3) x))) x)) (* 1/6 (pow y 3))) x)) |
(/.f64 (-.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) x))) x)) (neg.f64 x)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (pow y 3)) (* -1/3 (/ (pow y 3) x))) x)) (* 1/6 (pow y 3))) x)) |
(/.f64 (-.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) x))) x)) (neg.f64 x)) |
(/ (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 3)) |
(*.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 (*.f64 y y)) (*.f64 x (*.f64 x x)))) |
(/ (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 3)) |
(*.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 (*.f64 y y)) (*.f64 x (*.f64 x x)))) |
(/ (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 3)) |
(*.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 (*.f64 y y)) (*.f64 x (*.f64 x x)))) |
(/ (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 3)) |
(*.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 (*.f64 y y)) (*.f64 x (*.f64 x x)))) |
(/ (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 3)) |
(*.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 (*.f64 y y)) (*.f64 x (*.f64 x x)))) |
(/ (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 3)) |
(*.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 (*.f64 y y)) (*.f64 x (*.f64 x x)))) |
(/ (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 3)) |
(*.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 (*.f64 y y)) (*.f64 x (*.f64 x x)))) |
(/ (* (pow y 3) (- (* x (- (* -1/6 x) 1/2)) 1/3)) (pow x 3)) |
(*.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 (*.f64 y y)) (*.f64 x (*.f64 x x)))) |
(* -1 (/ (* (pow y 3) (+ 1/3 (* -1 (* x (- (* -1/6 x) 1/2))))) (pow x 3))) |
(*.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 (*.f64 y y)) (*.f64 x (*.f64 x x)))) |
(* -1 (/ (* (pow y 3) (+ 1/3 (* -1 (* x (- (* -1/6 x) 1/2))))) (pow x 3))) |
(*.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 (*.f64 y y)) (*.f64 x (*.f64 x x)))) |
(* -1 (/ (* (pow y 3) (+ 1/3 (* -1 (* x (- (* -1/6 x) 1/2))))) (pow x 3))) |
(*.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 (*.f64 y y)) (*.f64 x (*.f64 x x)))) |
(* -1 (/ (* (pow y 3) (+ 1/3 (* -1 (* x (- (* -1/6 x) 1/2))))) (pow x 3))) |
(*.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 (*.f64 y y)) (*.f64 x (*.f64 x x)))) |
(* (pow y 3) (- (* -1/6 x) 1/2)) |
(*.f64 (*.f64 y y) (*.f64 y (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)))) |
(* (pow y 3) (- (* -1/6 x) 1/2)) |
(*.f64 (*.f64 y y) (*.f64 y (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)))) |
(* (pow y 3) (- (* -1/6 x) 1/2)) |
(*.f64 (*.f64 y y) (*.f64 y (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)))) |
(* (pow y 3) (- (* -1/6 x) 1/2)) |
(*.f64 (*.f64 y y) (*.f64 y (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)))) |
(* (pow y 3) (- (* -1/6 x) 1/2)) |
(*.f64 (*.f64 y y) (*.f64 y (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)))) |
(* (pow y 3) (- (* -1/6 x) 1/2)) |
(*.f64 (*.f64 y y) (*.f64 y (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)))) |
(* (pow y 3) (- (* -1/6 x) 1/2)) |
(*.f64 (*.f64 y y) (*.f64 y (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)))) |
(* (pow y 3) (- (* -1/6 x) 1/2)) |
(*.f64 (*.f64 y y) (*.f64 y (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)))) |
(* (pow y 3) (- (* -1/6 x) 1/2)) |
(*.f64 (*.f64 y y) (*.f64 y (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)))) |
(* (pow y 3) (- (* -1/6 x) 1/2)) |
(*.f64 (*.f64 y y) (*.f64 y (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)))) |
(* (pow y 3) (- (* -1/6 x) 1/2)) |
(*.f64 (*.f64 y y) (*.f64 y (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)))) |
(* (pow y 3) (- (* -1/6 x) 1/2)) |
(*.f64 (*.f64 y y) (*.f64 y (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)))) |
(* -1/2 (pow y 3)) |
(*.f64 y (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) |
(+ (* -1/2 (pow y 3)) (* -1/6 (* x (pow y 3)))) |
(*.f64 (*.f64 y y) (*.f64 y (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)))) |
(+ (* -1/2 (pow y 3)) (* -1/6 (* x (pow y 3)))) |
(*.f64 (*.f64 y y) (*.f64 y (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)))) |
(+ (* -1/2 (pow y 3)) (* -1/6 (* x (pow y 3)))) |
(*.f64 (*.f64 y y) (*.f64 y (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)))) |
(* -1/6 (* x (pow y 3))) |
(*.f64 x (*.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) |
(* x (+ (* -1/2 (/ (pow y 3) x)) (* -1/6 (pow y 3)))) |
(*.f64 x (*.f64 (*.f64 y (*.f64 y y)) (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1/6 binary64)))) |
(* x (+ (* -1/2 (/ (pow y 3) x)) (* -1/6 (pow y 3)))) |
(*.f64 x (*.f64 (*.f64 y (*.f64 y y)) (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1/6 binary64)))) |
(* x (+ (* -1/2 (/ (pow y 3) x)) (* -1/6 (pow y 3)))) |
(*.f64 x (*.f64 (*.f64 y (*.f64 y y)) (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1/6 binary64)))) |
(* -1/6 (* x (pow y 3))) |
(*.f64 x (*.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) |
(* -1 (* x (+ (* 1/6 (pow y 3)) (* 1/2 (/ (pow y 3) x))))) |
(*.f64 x (*.f64 (*.f64 y (*.f64 y y)) (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1/6 binary64)))) |
(* -1 (* x (+ (* 1/6 (pow y 3)) (* 1/2 (/ (pow y 3) x))))) |
(*.f64 x (*.f64 (*.f64 y (*.f64 y y)) (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1/6 binary64)))) |
(* -1 (* x (+ (* 1/6 (pow y 3)) (* 1/2 (/ (pow y 3) x))))) |
(*.f64 x (*.f64 (*.f64 y (*.f64 y y)) (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1/6 binary64)))) |
(pow y 3) |
(*.f64 y (*.f64 y y)) |
(pow y 3) |
(*.f64 y (*.f64 y y)) |
(pow y 3) |
(*.f64 y (*.f64 y y)) |
(pow y 3) |
(*.f64 y (*.f64 y y)) |
(pow y 3) |
(*.f64 y (*.f64 y y)) |
(pow y 3) |
(*.f64 y (*.f64 y y)) |
(pow y 3) |
(*.f64 y (*.f64 y y)) |
(pow y 3) |
(*.f64 y (*.f64 y y)) |
(pow y 3) |
(*.f64 y (*.f64 y y)) |
(pow y 3) |
(*.f64 y (*.f64 y y)) |
(pow y 3) |
(*.f64 y (*.f64 y y)) |
(pow y 3) |
(*.f64 y (*.f64 y y)) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 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)) |
(* -1/3 (/ y x)) |
(/.f64 (*.f64 y #s(literal -1/3 binary64)) x) |
(* -1/3 (/ y x)) |
(/.f64 (*.f64 y #s(literal -1/3 binary64)) x) |
(* -1/3 (/ y x)) |
(/.f64 (*.f64 y #s(literal -1/3 binary64)) x) |
(* -1/3 (/ y x)) |
(/.f64 (*.f64 y #s(literal -1/3 binary64)) x) |
(* -1/3 (/ y x)) |
(/.f64 (*.f64 y #s(literal -1/3 binary64)) x) |
(* -1/3 (/ y x)) |
(/.f64 (*.f64 y #s(literal -1/3 binary64)) x) |
(* -1/3 (/ y x)) |
(/.f64 (*.f64 y #s(literal -1/3 binary64)) x) |
(* -1/3 (/ y x)) |
(/.f64 (*.f64 y #s(literal -1/3 binary64)) x) |
(* -1/3 (/ y x)) |
(/.f64 (*.f64 y #s(literal -1/3 binary64)) x) |
(* -1/3 (/ y x)) |
(/.f64 (*.f64 y #s(literal -1/3 binary64)) x) |
(* -1/3 (/ y x)) |
(/.f64 (*.f64 y #s(literal -1/3 binary64)) x) |
(* -1/3 (/ y x)) |
(/.f64 (*.f64 y #s(literal -1/3 binary64)) x) |
(* -1/3 (/ y x)) |
(/.f64 (*.f64 y #s(literal -1/3 binary64)) x) |
(* -1/3 (/ y x)) |
(/.f64 (*.f64 y #s(literal -1/3 binary64)) x) |
(* -1/3 (/ y x)) |
(/.f64 (*.f64 y #s(literal -1/3 binary64)) x) |
(* -1/3 (/ y x)) |
(/.f64 (*.f64 y #s(literal -1/3 binary64)) x) |
(* -1/3 (/ y x)) |
(/.f64 (*.f64 y #s(literal -1/3 binary64)) x) |
(* -1/3 (/ y x)) |
(/.f64 (*.f64 y #s(literal -1/3 binary64)) x) |
(* -1/3 (/ y x)) |
(/.f64 (*.f64 y #s(literal -1/3 binary64)) x) |
(* -1/3 (/ y x)) |
(/.f64 (*.f64 y #s(literal -1/3 binary64)) x) |
(* -1/3 (/ y x)) |
(/.f64 (*.f64 y #s(literal -1/3 binary64)) x) |
(* -1/3 (/ y x)) |
(/.f64 (*.f64 y #s(literal -1/3 binary64)) x) |
(* -1/3 (/ y x)) |
(/.f64 (*.f64 y #s(literal -1/3 binary64)) x) |
(* -1/3 (/ y x)) |
(/.f64 (*.f64 y #s(literal -1/3 binary64)) x) |
Compiled 30 198 to 2 903 computations (90.4% saved)
27 alts after pruning (22 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 409 | 6 | 1 415 |
| Fresh | 3 | 16 | 19 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 415 | 27 | 1 442 |
| Status | Accuracy | Program |
|---|---|---|
| 65.3% | (fma.f64 y (fma.f64 y (/.f64 (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) x) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) | |
| 66.1% | (fma.f64 y (/.f64 (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)) | |
| 67.1% | (/.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) | |
| 66.1% | (/.f64 (fma.f64 y (fma.f64 y #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) x) | |
| 45.4% | (/.f64 (pow.f64 (/.f64 y x) (neg.f64 x)) x) | |
| 46.5% | (/.f64 (pow.f64 (/.f64 x y) x) x) | |
| 15.5% | (/.f64 (/.f64 (/.f64 (fma.f64 y (*.f64 y (*.f64 y #s(literal -1/3 binary64))) (*.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) (*.f64 x (*.f64 y (*.f64 y y))))) x) x) x) | |
| 65.8% | (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x) | |
| 22.9% | (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y x) (*.f64 x x)) (-.f64 x (*.f64 x y))) (fma.f64 (*.f64 x y) (fma.f64 x y x) (*.f64 x x))) (*.f64 x x)) | |
| 36.6% | (/.f64 (/.f64 (*.f64 (fma.f64 x y x) (-.f64 x (*.f64 x y))) (fma.f64 x y x)) (*.f64 x x)) | |
| 18.0% | (/.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x y))) (*.f64 (*.f64 x x) (*.f64 x x))) | |
| ✓ | 58.8% | (/.f64 (-.f64 #s(literal 1 binary64) y) x) |
| 22.6% | (/.f64 (*.f64 (fma.f64 x y x) (-.f64 x (*.f64 x y))) (*.f64 (*.f64 x x) (fma.f64 x y x))) | |
| 7.1% | (/.f64 (*.f64 (*.f64 y (*.f64 y #s(literal -1/3 binary64))) y) (*.f64 x (*.f64 x x))) | |
| 11.9% | (/.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) x) | |
| 3.9% | (/.f64 (*.f64 x (*.f64 x (*.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))) (*.f64 x (*.f64 x x))) | |
| ✓ | 4.1% | (/.f64 (neg.f64 y) x) |
| ✓ | 83.3% | (/.f64 (exp.f64 (neg.f64 y)) x) |
| 51.4% | (/.f64 x (*.f64 x x)) | |
| ✓ | 74.8% | (/.f64 #s(literal 1 binary64) x) |
| 3.3% | (*.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 (*.f64 y y)) (*.f64 x (*.f64 x x)))) | |
| ✓ | 11.0% | (*.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 (*.f64 y #s(literal -1/3 binary64)) x)) |
| 58.8% | (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) | |
| 4.1% | (*.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 y)) | |
| 10.8% | (*.f64 (*.f64 y y) (fma.f64 #s(literal -1/6 binary64) (/.f64 y x) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (/.f64 (neg.f64 y) (*.f64 x x))))) | |
| 8.6% | (*.f64 (*.f64 y y) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) | |
| 10.8% | (*.f64 #s(literal -1/6 binary64) (*.f64 y (/.f64 (*.f64 y y) x))) |
Compiled 1 067 to 399 computations (62.6% saved)
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) x) |
(/.f64 (neg.f64 y) x) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(/.f64 x (*.f64 x x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 y)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) 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 y x)) (*.f64 x x)) |
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y (/.f64 (*.f64 y y) x))) |
(*.f64 (*.f64 y y) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
(*.f64 (*.f64 y y) (/.f64 (*.f64 y #s(literal -1/6 binary64)) x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) (*.f64 x x)) |
(/.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 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) |
(/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x) |
(/.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal -1/3 binary64))) (*.f64 x (*.f64 x x))) |
(/.f64 (*.f64 (*.f64 y (*.f64 y #s(literal -1/3 binary64))) y) (*.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) |
(fma.f64 y (/.f64 (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 (*.f64 y y) (*.f64 x x)) (/.f64 (*.f64 y #s(literal -1/3 binary64)) x)) |
(/.f64 (*.f64 x (*.f64 x (*.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))) (*.f64 x (*.f64 x x))) |
(/.f64 (*.f64 (fma.f64 x y x) (-.f64 x (*.f64 x y))) (*.f64 (*.f64 x x) (fma.f64 x y x))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 x y)) x) (*.f64 x (/.f64 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 (*.f64 y y)) (*.f64 x (*.f64 x x)))) |
(fma.f64 y (fma.f64 y (/.f64 (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) x) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (/.f64 (*.f64 (fma.f64 x y x) (-.f64 x (*.f64 x y))) (fma.f64 x y x)) (*.f64 x x)) |
(/.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x y))) (*.f64 (*.f64 x x) (*.f64 x x))) |
(*.f64 (*.f64 y y) (*.f64 y (neg.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) x) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x x)))))) |
(/.f64 (fma.f64 x (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64))) (*.f64 (*.f64 y y) (*.f64 y #s(literal -1/3 binary64)))) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 y y) (-.f64 (/.f64 (*.f64 y #s(literal -1/6 binary64)) x) (*.f64 (/.f64 y (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 y y) (fma.f64 #s(literal -1/6 binary64) (/.f64 y x) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (/.f64 (neg.f64 y) (*.f64 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 (/.f64 (/.f64 (fma.f64 y (*.f64 y (*.f64 y #s(literal -1/3 binary64))) (*.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) (*.f64 x (*.f64 y (*.f64 y y))))) x) x) x) |
(fma.f64 y (*.f64 (neg.f64 y) (fma.f64 y (/.f64 #s(literal 1/6 binary64) x) (*.f64 (/.f64 y (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (fma.f64 x (fma.f64 x (*.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) x) (*.f64 (*.f64 y y) (fma.f64 x (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 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 (/.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 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 (/.f64 y x) #s(literal 1/6 binary64)))) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y x) (*.f64 x x)) (-.f64 x (*.f64 x y))) (fma.f64 (*.f64 x y) (fma.f64 x y x) (*.f64 x x))) (*.f64 x x)) |
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) |
(/.f64 (exp.f64 (neg.f64 y)) x) |
(fma.f64 y (fma.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.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 x)))) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (pow.f64 (/.f64 x y) x) x) |
(/.f64 (pow.f64 (/.f64 y x) (neg.f64 x)) x) |
(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x) |
(/.f64 (pow.f64 (/.f64 (+.f64 x y) x) (neg.f64 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 (exp.f64 (neg.f64 y)) x) |
3 calls:
| 34.0ms | y |
| 13.0ms | x |
| 12.0ms | (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 3 | x |
| 83.3% | 1 | y |
| 91.8% | 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 x (*.f64 x x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 y)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) 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 y x)) (*.f64 x x)) |
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y (/.f64 (*.f64 y y) x))) |
(*.f64 (*.f64 y y) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
(*.f64 (*.f64 y y) (/.f64 (*.f64 y #s(literal -1/6 binary64)) x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) (*.f64 x x)) |
(/.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 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) |
(/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x) |
(/.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal -1/3 binary64))) (*.f64 x (*.f64 x x))) |
(/.f64 (*.f64 (*.f64 y (*.f64 y #s(literal -1/3 binary64))) y) (*.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) |
(fma.f64 y (/.f64 (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 (*.f64 y y) (*.f64 x x)) (/.f64 (*.f64 y #s(literal -1/3 binary64)) x)) |
(/.f64 (*.f64 x (*.f64 x (*.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))) (*.f64 x (*.f64 x x))) |
(/.f64 (*.f64 (fma.f64 x y x) (-.f64 x (*.f64 x y))) (*.f64 (*.f64 x x) (fma.f64 x y x))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 x y)) x) (*.f64 x (/.f64 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 (*.f64 y y)) (*.f64 x (*.f64 x x)))) |
(fma.f64 y (fma.f64 y (/.f64 (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) x) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (/.f64 (*.f64 (fma.f64 x y x) (-.f64 x (*.f64 x y))) (fma.f64 x y x)) (*.f64 x x)) |
(/.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x y))) (*.f64 (*.f64 x x) (*.f64 x x))) |
(*.f64 (*.f64 y y) (*.f64 y (neg.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) x) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x x)))))) |
(/.f64 (fma.f64 x (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64))) (*.f64 (*.f64 y y) (*.f64 y #s(literal -1/3 binary64)))) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 y y) (-.f64 (/.f64 (*.f64 y #s(literal -1/6 binary64)) x) (*.f64 (/.f64 y (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 y y) (fma.f64 #s(literal -1/6 binary64) (/.f64 y x) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (/.f64 (neg.f64 y) (*.f64 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 (/.f64 (/.f64 (fma.f64 y (*.f64 y (*.f64 y #s(literal -1/3 binary64))) (*.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) (*.f64 x (*.f64 y (*.f64 y y))))) x) x) x) |
(fma.f64 y (*.f64 (neg.f64 y) (fma.f64 y (/.f64 #s(literal 1/6 binary64) x) (*.f64 (/.f64 y (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (fma.f64 x (fma.f64 x (*.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) x) (*.f64 (*.f64 y y) (fma.f64 x (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 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 (/.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 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 (/.f64 y x) #s(literal 1/6 binary64)))) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y x) (*.f64 x x)) (-.f64 x (*.f64 x y))) (fma.f64 (*.f64 x y) (fma.f64 x y x) (*.f64 x x))) (*.f64 x x)) |
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) |
| 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) |
3 calls:
| 12.0ms | y |
| 12.0ms | (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
| 11.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.4% | 3 | y |
| 74.8% | 1 | (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
| 82.3% | 2 | 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 x (*.f64 x x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 y)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) 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 y x)) (*.f64 x x)) |
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y (/.f64 (*.f64 y y) x))) |
(*.f64 (*.f64 y y) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
(*.f64 (*.f64 y y) (/.f64 (*.f64 y #s(literal -1/6 binary64)) x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) (*.f64 x x)) |
(/.f64 (*.f64 y (*.f64 (*.f64 y 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) |
1 calls:
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.2% | 2 | 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 x (*.f64 x x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 y)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) x) |
(/.f64 x (*.f64 x x)) |
2 calls:
| 5.0ms | x |
| 3.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.1% | 2 | y |
| 74.8% | 1 | x |
Compiled 6 to 4 computations (33.3% saved)
Total -45.3b remaining (-281%)
Threshold costs -45.3b (-281%)
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) x) |
(/.f64 (neg.f64 y) x) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) x) |
2 calls:
| 2.0ms | y |
| 2.0ms | (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.8% | 1 | (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
| 74.8% | 1 | y |
Compiled 16 to 10 computations (37.5% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 0.0010792726069573204 | 0.8006021091222408 |
| 14.0ms | -3.5849137660387087 | -0.8490643713497562 |
| 19.0ms | 224× | 0 | valid |
| 4.0ms | 63× | 0 | invalid |
Compiled 212 to 167 computations (21.2% saved)
ival-div: 5.0ms (33.5% of total)ival-log: 4.0ms (26.8% of total)ival-add: 2.0ms (13.4% of total)ival-exp: 2.0ms (13.4% of total)ival-mult: 2.0ms (13.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | -3.5849137660387087 | -0.8490643713497562 |
| 9.0ms | 96× | 0 | valid |
| 1.0ms | 17× | 0 | invalid |
Compiled 142 to 109 computations (23.2% saved)
ival-div: 2.0ms (28.3% of total)ival-log: 2.0ms (28.3% of total)ival-mult: 2.0ms (28.3% of total)ival-add: 1.0ms (14.1% of total)ival-exp: 1.0ms (14.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 18.0ms | -3.5849137660387087 | -0.8490643713497562 |
| 12.0ms | 96× | 0 | valid |
| 2.0ms | 24× | 0 | invalid |
Compiled 124 to 97 computations (21.8% saved)
ival-div: 2.0ms (34.3% of total)ival-log: 2.0ms (34.3% of total)ival-add: 1.0ms (17.1% of total)ival-exp: 1.0ms (17.1% of total)ival-mult: 1.0ms (17.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 31.0ms | 3.9805551627248507e+33 | 2.4707502007049638e+41 |
| 16.0ms | 84× | 1 | valid |
| 5.0ms | 60× | 0 | valid |
| 4.0ms | 46× | 0 | invalid |
Compiled 142 to 103 computations (27.5% saved)
ival-log: 8.0ms (43.1% of total)ival-div: 4.0ms (21.6% of total)ival-exp: 2.0ms (10.8% of total)ival-mult: 2.0ms (10.8% of total)ival-add: 1.0ms (5.4% of total)adjust: 1.0ms (5.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
| 2× | *-commutative_binary64 |
| 2× | +-commutative_binary64 |
| 2× | sub-neg_binary64 |
| 2× | 1-exp_binary64 |
| 2× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 67 |
| 1 | 39 | 67 |
| 2 | 41 | 67 |
| 3 | 42 | 67 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 x #s(literal -5/4 binary64)) (/.f64 (exp.f64 (neg.f64 y)) x) (if (<=.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 (exp.f64 (neg.f64 y)) x))) |
(if (<=.f64 x #s(literal -5/4 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) x)) |
(if (<=.f64 x #s(literal -7656119366529843/9007199254740992 binary64)) (/.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)) |
(if (<=.f64 y #s(literal 350000000000000007468525451422466048 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 x (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) x) |
| Outputs |
|---|
(if (<=.f64 x #s(literal -5/4 binary64)) (/.f64 (exp.f64 (neg.f64 y)) x) (if (<=.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 (exp.f64 (neg.f64 y)) x))) |
(if (<=.f64 x #s(literal -5/4 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) x)) |
(if (<=.f64 x #s(literal -7656119366529843/9007199254740992 binary64)) (/.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)) |
(if (<=.f64 y #s(literal 350000000000000007468525451422466048 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 x (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) x) |
| 18 680× | accelerator-lowering-fma.f32 |
| 18 680× | accelerator-lowering-fma.f64 |
| 9 292× | accelerator-lowering-fma.f32 |
| 9 292× | accelerator-lowering-fma.f64 |
| 7 572× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 510 | 4364 |
| 1 | 1563 | 3947 |
| 2 | 5170 | 3825 |
| 0 | 8430 | 3699 |
| 0 | 32 | 187 |
| 1 | 250 | 177 |
| 2 | 3092 | 177 |
| 0 | 8458 | 163 |
| 0 | 353 | 3746 |
| 1 | 1076 | 3569 |
| 2 | 3654 | 3428 |
| 0 | 8382 | 3220 |
| 0 | 554 | 3180 |
| 1 | 1674 | 2655 |
| 2 | 5673 | 2574 |
| 0 | 8288 | 2445 |
| 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 |
Compiled 171 to 100 computations (41.5% saved)
Compiled 264 to 120 computations (54.5% saved)
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