
Time bar (total: 9.9s)
| 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 | 3 649× | 1 | valid |
| 642.0ms | 4 607× | 0 | valid |
| 19.0ms | 224× | 0 | invalid |
ival-log: 576.0ms (49.5% of total)ival-div: 191.0ms (16.4% of total)ival-add: 139.0ms (12% of total)ival-exp: 100.0ms (8.6% of total)ival-mult: 94.0ms (8.1% of total)adjust: 52.0ms (4.5% of total)ival-true: 7.0ms (0.6% of total)ival-assert: 4.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 156 | 35 | (9.265263902162666e+141 -7.195744334290968e-248) | 0 | - | (log.f64 (/.f64 x (+.f64 x y))) |
| 39 | 0 | - | 5 | (2.2164852721117695e+120 2.0113320457421222e-202) | (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))) |
| 0 | 0 | - | 0 | - | (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
| 0 | 0 | - | 0 | - | (/.f64 x (+.f64 x y)) |
| 0 | 0 | - | 0 | - | (+.f64 x y) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
log.f64 | (log.f64 (/.f64 x (+.f64 x y))) | sensitivity | 176 | 0 |
*.f64 | (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))) | n*u | 34 | 0 |
log.f64 | (log.f64 (/.f64 x (+.f64 x y))) | uflow-rescue | 15 | 0 |
| ↳ | (log.f64 (/.f64 x (+.f64 x y))) | underflow | 34 | |
| ↳ | (/.f64 x (+.f64 x y)) | underflow | 15 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 56 | 0 |
| - | 135 | 65 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 56 | 0 | 0 |
| - | 135 | 0 | 65 |
| number | freq |
|---|---|
| 0 | 65 |
| 1 | 157 |
| 2 | 34 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 94.0ms | 104× | 2 | valid |
| 55.0ms | 234× | 1 | valid |
| 34.0ms | 174× | 0 | valid |
Compiled 103 to 28 computations (72.8% saved)
ival-log: 85.0ms (53.1% of total)ival-mult: 26.0ms (16.3% of total)ival-add: 20.0ms (12.5% of total)ival-div: 14.0ms (8.8% of total)ival-exp: 7.0ms (4.4% of total)adjust: 6.0ms (3.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
| 628× | div-sub |
| 418× | times-frac |
| 414× | associate-/r* |
| 290× | distribute-lft-in |
| 288× | associate-*r/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 65 |
| 1 | 60 | 51 |
| 2 | 125 | 49 |
| 3 | 333 | 49 |
| 4 | 702 | 49 |
| 5 | 1140 | 47 |
| 6 | 1569 | 47 |
| 7 | 2227 | 47 |
| 8 | 2558 | 47 |
| 9 | 2721 | 47 |
| 10 | 2951 | 47 |
| 11 | 3125 | 47 |
| 12 | 3254 | 47 |
| 13 | 3295 | 47 |
| 14 | 3295 | 47 |
| 15 | 3299 | 47 |
| 0 | 8 | 11 |
| 0 | 14 | 11 |
| 1 | 18 | 9 |
| 2 | 21 | 9 |
| 3 | 21 | 9 |
| 0 | 21 | 9 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
| Outputs |
|---|
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
(/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x) |
Compiled 11 to 8 computations (27.3% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 79.6% | (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
Compiled 11 to 8 computations (27.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (log.f64 (/.f64 x (+.f64 x y))) | |
| cost-diff | 0 | (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))) | |
| cost-diff | 0 | (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) | |
| cost-diff | 6656 | (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) |
| 6× | lower-exp.f32 |
| 4× | lift-/.f64 |
| 4× | exp-prod |
| 4× | lower-pow.f64 |
| 4× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 44 |
| 0 | 14 | 44 |
| 1 | 18 | 40 |
| 2 | 21 | 40 |
| 3 | 21 | 40 |
| 0 | 21 | 40 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
(exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) |
(*.f64 x (log.f64 (/.f64 x (+.f64 x y)))) |
x |
(log.f64 (/.f64 x (+.f64 x y))) |
(/.f64 x (+.f64 x y)) |
(+.f64 x y) |
y |
| Outputs |
|---|
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
(/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x) |
(exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) |
(pow.f64 (/.f64 x (+.f64 y x)) x) |
(*.f64 x (log.f64 (/.f64 x (+.f64 x y)))) |
(*.f64 (log.f64 (/.f64 x (+.f64 y x))) x) |
x |
(log.f64 (/.f64 x (+.f64 x y))) |
(log.f64 (/.f64 x (+.f64 y x))) |
(/.f64 x (+.f64 x y)) |
(/.f64 x (+.f64 y x)) |
(+.f64 x y) |
(+.f64 y x) |
y |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0078125 | (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) | |
| accuracy | 0.0078125 | (/.f64 x (+.f64 x y)) | |
| accuracy | 8.602638510520244 | (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))) | |
| accuracy | 35.19449846688459 | (log.f64 (/.f64 x (+.f64 x y))) |
| 39.0ms | 117× | 1 | valid |
| 22.0ms | 52× | 2 | valid |
| 7.0ms | 87× | 0 | valid |
Compiled 46 to 10 computations (78.3% saved)
ival-log: 26.0ms (55.2% of total)ival-div: 8.0ms (17% of total)ival-exp: 4.0ms (8.5% of total)ival-add: 3.0ms (6.4% of total)adjust: 3.0ms (6.4% of total)ival-mult: 3.0ms (6.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) (patch (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) #<representation binary64>) () ()) |
#s(alt (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) (patch (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) #<representation binary64>) () ()) |
#s(alt (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))) (patch (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))) #<representation binary64>) () ()) |
#s(alt (log.f64 (/.f64 x (+.f64 x y))) (patch (log.f64 (/.f64 x (+.f64 x y))) #<representation binary64>) () ()) |
#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt 1 (taylor 0 y) (#s(alt (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) (patch (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) (patch (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1))) (taylor 0 y) (#s(alt (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) (patch (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) #<representation binary64>) () ())) ()) |
#s(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))) (taylor 0 y) (#s(alt (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) (patch (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor 0 y) (#s(alt (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) (patch (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ y x)) (/ 1 x)) (taylor 0 y) (#s(alt (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) (patch (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x)) (taylor 0 y) (#s(alt (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) (patch (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) #<representation binary64>) () ())) ()) |
#s(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)) (taylor 0 y) (#s(alt (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) (patch (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor 0 y) (#s(alt (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))) (patch (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 1/2 (/ y x)) 1)) (taylor 0 y) (#s(alt (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))) (patch (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* y (+ (* -1/3 (/ y (pow x 2))) (* 1/2 (/ 1 x)))) 1)) (taylor 0 y) (#s(alt (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))) (patch (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* y (+ (* y (- (* 1/4 (/ y (pow x 3))) (* 1/3 (/ 1 (pow x 2))))) (* 1/2 (/ 1 x)))) 1)) (taylor 0 y) (#s(alt (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))) (patch (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ y x)) (taylor 0 y) (#s(alt (log.f64 (/.f64 x (+.f64 x y))) (patch (log.f64 (/.f64 x (+.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 1/2 (/ y (pow x 2))) (/ 1 x))) (taylor 0 y) (#s(alt (log.f64 (/.f64 x (+.f64 x y))) (patch (log.f64 (/.f64 x (+.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* y (+ (* -1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (taylor 0 y) (#s(alt (log.f64 (/.f64 x (+.f64 x y))) (patch (log.f64 (/.f64 x (+.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* y (+ (* y (- (* 1/4 (/ y (pow x 4))) (* 1/3 (/ 1 (pow x 3))))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (taylor 0 y) (#s(alt (log.f64 (/.f64 x (+.f64 x y))) (patch (log.f64 (/.f64 x (+.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ y x))) (taylor 0 y) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) (taylor 0 y) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) (taylor 0 y) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (exp (* x (+ (log x) (log (/ 1 y))))) (taylor inf y) (#s(alt (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) (patch (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp (* x (+ (log x) (log (/ 1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y))) (taylor inf y) (#s(alt (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) (patch (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) #<representation binary64>) () ())) ()) |
#s(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)))) (taylor inf y) (#s(alt (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) (patch (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) #<representation binary64>) () ())) ()) |
#s(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))))) (taylor inf y) (#s(alt (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) (patch (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (taylor inf y) (#s(alt (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) (patch (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (exp (* x (+ (log x) (log (/ 1 y))))) x)) (taylor inf y) (#s(alt (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) (patch (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) #<representation binary64>) () ())) ()) |
#s(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))))) (taylor inf y) (#s(alt (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) (patch (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) #<representation binary64>) () ())) ()) |
#s(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)))))) (taylor inf y) (#s(alt (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) (patch (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (log x) (log (/ 1 y)))) (taylor inf y) (#s(alt (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))) (patch (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (pow x 2) y)) (* x (+ (log x) (log (/ 1 y))))) (taylor inf y) (#s(alt (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))) (patch (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(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)))))) (taylor inf y) (#s(alt (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))) (patch (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(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))))))) (taylor inf y) (#s(alt (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))) (patch (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log x) (log (/ 1 y))) (taylor inf y) (#s(alt (log.f64 (/.f64 x (+.f64 x y))) (patch (log.f64 (/.f64 x (+.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log x) (+ (log (/ 1 y)) (* -1 (/ x y)))) (taylor inf y) (#s(alt (log.f64 (/.f64 x (+.f64 x y))) (patch (log.f64 (/.f64 x (+.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log x) (+ (log (/ 1 y)) (+ (* -1 (/ x y)) (* 1/2 (/ (+ (* -1 (pow x 2)) (* 2 (pow x 2))) (pow y 2)))))) (taylor inf y) (#s(alt (log.f64 (/.f64 x (+.f64 x y))) (patch (log.f64 (/.f64 x (+.f64 x y))) #<representation binary64>) () ())) ()) |
#s(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))))))) (taylor inf y) (#s(alt (log.f64 (/.f64 x (+.f64 x y))) (patch (log.f64 (/.f64 x (+.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor inf y) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (* -1 (/ (pow x 2) y))) y) (taylor inf y) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation binary64>) () ())) ()) |
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#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) (taylor -inf x) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | y | @ | -inf | ((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))) |
| 5.0ms | x | @ | inf | ((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))) |
| 3.0ms | x | @ | -inf | ((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))) |
| 3.0ms | y | @ | inf | ((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))) |
| 2.0ms | y | @ | 0 | ((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))) |
| 1× | egg-herbie |
| 9 292× | lower-fma.f64 |
| 9 292× | lower-fma.f32 |
| 5 132× | lower-*.f64 |
| 5 132× | lower-*.f32 |
| 3 222× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 554 | 3184 |
| 1 | 1674 | 2659 |
| 2 | 5689 | 2574 |
| 0 | 8306 | 2445 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* -1 y)) |
(+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1))) |
(+ 1 (* y (- (* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) 1))) |
(/ 1 x) |
(+ (* -1 (/ y x)) (/ 1 x)) |
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x)) |
(+ (* y (- (* y (+ (* -1 (/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) (/ 1 x))) (/ 1 x)) |
(* -1 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)) |
(* -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))) |
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)))) |
(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)))) |
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(/ (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)))))) |
(* 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))))))) |
(+ (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))))))) |
(/ 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) |
(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))) |
(/ (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 (* -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 (* -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) |
(* -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)) |
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))))))) |
(/ 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) |
(* 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)))))) |
(+ (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))))) |
(/ 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))) |
(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)) 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) |
(* -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 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 |
(+ 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))) |
(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))) |
(/ (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 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 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 |
(+ 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))) |
| Outputs |
|---|
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 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y #s(literal -1 binary64)) y #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 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(+ (* -1 (/ y x)) (/ 1 x)) |
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)) |
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x)) |
(fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.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 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 (neg.f64 y) x) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x))) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)) |
(* -1 y) |
(neg.f64 y) |
(* y (- (* 1/2 (/ y x)) 1)) |
(*.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y) |
(* y (- (* y (+ (* -1/3 (/ y (pow x 2))) (* 1/2 (/ 1 x)))) 1)) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 y x) x) #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal -1 binary64)) y) |
(* y (- (* y (+ (* y (- (* 1/4 (/ y (pow x 3))) (* 1/3 (/ 1 (pow x 2))))) (* 1/2 (/ 1 x)))) 1)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) y (/.f64 #s(literal 1/2 binary64) x)) y #s(literal -1 binary64)) y) |
(* -1 (/ y x)) |
(/.f64 (neg.f64 y) x) |
(* y (- (* 1/2 (/ y (pow x 2))) (/ 1 x))) |
(*.f64 (fma.f64 (/.f64 (/.f64 y x) x) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) y) |
(* y (- (* y (+ (* -1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) #s(literal -1/3 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) y (/.f64 #s(literal -1 binary64) x)) y) |
(* y (- (* y (+ (* y (- (* 1/4 (/ y (pow x 4))) (* 1/3 (/ 1 (pow x 3))))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) y (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) y (/.f64 #s(literal -1 binary64) x)) y) |
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 (neg.f64 y) (/.f64 y x) y) x)) |
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) y (/.f64 #s(literal -1 binary64) x)) y #s(literal 1 binary64)) |
(exp (* x (+ (log x) (log (/ 1 y))))) |
(pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y))) |
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y))) |
(fma.f64 (neg.f64 x) (*.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y))) (/.f64 x y)) (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 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)))) |
(fma.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y))) (*.f64 y y)) (fma.f64 (neg.f64 x) (*.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y))) (/.f64 x y)) (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 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 (* (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 (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) y) (/.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) x) #s(literal -1/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))) x) #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/6 binary64)))) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (neg.f64 x) (*.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y))) (/.f64 x y)) (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y))))) |
(/ (exp (* x (+ (log x) (log (/ 1 y))))) x) |
(/.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y))) x) |
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (exp (* x (+ (log x) (log (/ 1 y))))) x)) |
(fma.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y))) (/.f64 x (neg.f64 y)) (/.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 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))))) |
(fma.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y))) (*.f64 (*.f64 y y) x)) (fma.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y))) (/.f64 x (neg.f64 y)) (/.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 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 (* (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 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y))) x) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) y) (/.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) x) #s(literal -1/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))) x) #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/6 binary64)))) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y))) (/.f64 x (neg.f64 y)) (/.f64 (pow.f64 (exp.f64 x) (-.f64 (log.f64 x) (log.f64 y))) x))) |
(* x (+ (log x) (log (/ 1 y)))) |
(*.f64 (-.f64 (log.f64 x) (log.f64 y)) x) |
(+ (* -1 (/ (pow x 2) y)) (* x (+ (log x) (log (/ 1 y))))) |
(*.f64 (-.f64 (-.f64 (log.f64 x) (log.f64 y)) (/.f64 x y)) x) |
(+ (* -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)))))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 (-.f64 (-.f64 (log.f64 x) (log.f64 y)) (/.f64 x y)) x)) |
(+ (* -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))))))) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 (-.f64 (-.f64 (log.f64 x) (log.f64 y)) (/.f64 x y)) 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 (fma.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 1/2 binary64) (-.f64 (/.f64 x (neg.f64 y)) (log.f64 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 (-.f64 (fma.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 x y)) (log.f64 y)) (log.f64 x)) |
(/ 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 (/.f64 (fma.f64 (neg.f64 x) x (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) y) x) y) |
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y) |
(/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 x) x (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) y) (-.f64 x (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))))) y) |
(exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) x)) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y))) |
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) x) (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) x)) (*.f64 (neg.f64 x) (/.f64 x 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))) |
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) x) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) y)) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) x)) (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) x)) (*.f64 x x))) (neg.f64 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))) |
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) x) (/.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) x)) x) x (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) x (pow.f64 x #s(literal 6 binary64))) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) x) #s(literal 1/2 binary64))) y) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) x)) (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (neg.f64 x) x))))) y)) (neg.f64 y))) |
(/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x) |
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(fma.f64 (*.f64 (exp.f64 (neg.f64 y)) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) 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 (/.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 4 binary64)))) x) (exp.f64 (neg.f64 y)) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 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 (fma.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)) (*.f64 y y) (/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 4 binary64)))) (exp.f64 (neg.f64 y))) (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 y y)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal -1/48 binary64) (fma.f64 #s(literal -1/24 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 30 binary64)) (pow.f64 y #s(literal 4 binary64))))) (/.f64 (exp.f64 (neg.f64 y)) x))) (neg.f64 x))) 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 (fma.f64 (*.f64 (exp.f64 (neg.f64 y)) (*.f64 y y)) (/.f64 #s(literal -1/2 binary64) x) (neg.f64 (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 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 4 binary64)))) x) (exp.f64 (neg.f64 y)) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 y)))) x) (exp.f64 (neg.f64 y))) 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 (/.f64 (fma.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)) (*.f64 y y) (/.f64 (fma.f64 (neg.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 4 binary64))))) (exp.f64 (neg.f64 y)) (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 y y)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal -1/48 binary64) (fma.f64 #s(literal -1/24 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 30 binary64)) (pow.f64 y #s(literal 4 binary64))))) (/.f64 (exp.f64 (neg.f64 y)) x))) (neg.f64 x))) x) (exp.f64 (neg.f64 y))) x) |
(* -1 y) |
(neg.f64 y) |
(+ (* -1 y) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x))) |
(fma.f64 (*.f64 y (/.f64 y x)) #s(literal 1/2 binary64) (neg.f64 y)) |
(+ (* -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))) |
(neg.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) (*.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) x) #s(literal 1/6 binary64))) x) y)) |
(+ (* -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))) |
(-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) (/.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64) (/.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 30 binary64)) #s(literal 1/24 binary64) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) x)) (neg.f64 x))) (neg.f64 x)) y) |
(* -1 (/ y x)) |
(/.f64 (neg.f64 y) x) |
(* -1 (/ (+ y (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x))) x)) |
(/.f64 (fma.f64 (*.f64 y (/.f64 y x)) #s(literal -1/2 binary64) y) (neg.f64 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 (*.f64 y y) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) x) #s(literal -1/6 binary64))) 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 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) (/.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 1/6 binary64) (/.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 30 binary64)) (pow.f64 y #s(literal 4 binary64))) x)) x))) x)) (neg.f64 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 (neg.f64 y) (/.f64 y x) y) x)) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) |
(-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (/.f64 (fma.f64 (neg.f64 y) (/.f64 y x) y) x)) |
| 4 200× | lower-/.f32 |
| 4 196× | lower-/.f64 |
| 3 466× | lower-*.f32 |
| 3 464× | lower-*.f64 |
| 1 982× | lower-pow.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 39 |
| 0 | 14 | 39 |
| 1 | 48 | 35 |
| 2 | 276 | 35 |
| 3 | 2526 | 35 |
| 0 | 8637 | 35 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) |
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
(*.f64 x (log.f64 (/.f64 x (+.f64 x y)))) |
(log.f64 (/.f64 x (+.f64 x y))) |
(/.f64 x (+.f64 x y)) |
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Compiled 10 853 to 2 255 computations (79.2% saved)
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 469 | 9 | 478 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 470 | 9 | 479 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 79.6% | (/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x) |
| ▶ | 85.6% | (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) |
| 60.1% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) | |
| 63.7% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) | |
| 60.3% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x) | |
| ▶ | 74.2% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
| 79.6% | (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (pow.f64 (/.f64 (+.f64 y x) x) x))) | |
| ▶ | 54.8% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))) |
| ▶ | 60.3% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))) |
Compiled 214 to 164 computations (23.4% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 y x) | |
| cost-diff | 0 | (/.f64 x (+.f64 y x)) | |
| cost-diff | 0 | (pow.f64 (/.f64 x (+.f64 y x)) x) | |
| cost-diff | 0 | (/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x) | |
| cost-diff | 0 | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))) | |
| cost-diff | 320 | (fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 384 | (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) | |
| cost-diff | 704 | (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) | |
| cost-diff | 0 | (/.f64 y x) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))) | |
| cost-diff | 704 | (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)) | |
| cost-diff | 0 | #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)) | |
| cost-diff | 0 | (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) | |
| cost-diff | 0 | (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) |
| 9 578× | lower-fma.f32 |
| 9 574× | lower-fma.f64 |
| 2 480× | lower-*.f64 |
| 2 480× | lower-*.f32 |
| 1 200× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 220 |
| 0 | 51 | 220 |
| 1 | 68 | 212 |
| 2 | 95 | 212 |
| 3 | 177 | 212 |
| 4 | 318 | 209 |
| 5 | 543 | 209 |
| 6 | 1084 | 207 |
| 7 | 2240 | 207 |
| 8 | 4807 | 200 |
| 9 | 6450 | 200 |
| 10 | 7746 | 200 |
| 0 | 8034 | 196 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) |
(exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) |
#s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)) |
(neg.f64 y) |
y |
x |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
x |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))) |
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(/.f64 y x) |
y |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))) |
(fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)) |
(fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) |
(+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) |
(/.f64 (/.f64 #s(literal 1/2 binary64) x) x) |
(/.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
y |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
(/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x) |
(pow.f64 (/.f64 x (+.f64 y x)) x) |
(/.f64 x (+.f64 y x)) |
x |
(+.f64 y x) |
y |
| Outputs |
|---|
(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) |
(exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) |
#s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)) |
(neg.f64 y) |
y |
x |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
x |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 #s(literal 1 binary64) y) x)) |
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(/.f64 y x) |
y |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y #s(literal -1 binary64)) (/.f64 y x) (/.f64 #s(literal 1 binary64) x))) |
(fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) y #s(literal -1 binary64)) (/.f64 y x) (/.f64 #s(literal 1 binary64) x)) |
(fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) y #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) |
(/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) x) |
(/.f64 (/.f64 #s(literal 1/2 binary64) x) x) |
(/.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
y |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
(/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x) |
(pow.f64 (/.f64 x (+.f64 y x)) x) |
(/.f64 x (+.f64 y x)) |
x |
(+.f64 y x) |
y |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (+.f64 y x) | |
| accuracy | 0.0078125 | (/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x) | |
| accuracy | 0.0078125 | (/.f64 x (+.f64 y x)) | |
| accuracy | 13.27865226917013 | (pow.f64 (/.f64 x (+.f64 y x)) x) | |
| accuracy | 0.1328125 | (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) | |
| accuracy | 0.9941752815391037 | (fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)) | |
| accuracy | 2.463559772080296 | (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) | |
| accuracy | 26.043047448566252 | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))) | |
| accuracy | 0 | (/.f64 y x) | |
| accuracy | 0 | (/.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.00390625 | (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)) | |
| accuracy | 25.427283913736602 | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))) | |
| accuracy | 0.0078125 | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) | |
| accuracy | 16.645597283914217 | #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 0 | (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) | |
| accuracy | 0.0078125 | (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) | |
| accuracy | 19.676014367822482 | #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)) |
| 136.0ms | 117× | 1 | valid |
| 86.0ms | 52× | 2 | valid |
| 19.0ms | 87× | 0 | valid |
Compiled 184 to 29 computations (84.2% saved)
ival-log: 59.0ms (32.4% of total)ival-div: 44.0ms (24.2% of total)ival-mult: 25.0ms (13.7% of total)ival-pow: 22.0ms (12.1% of total)adjust: 14.0ms (7.7% of total)ival-add: 10.0ms (5.5% of total)ival-exp: 4.0ms (2.2% of total)ival-sub: 2.0ms (1.1% of total)ival-neg: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (patch (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) #<representation binary64>) () ()) |
#s(alt (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) (patch (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) #<representation binary64>) () ()) |
#s(alt #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)) (patch #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)) #<representation binary64>) () ()) |
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (patch (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) (patch #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)) (patch (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))) (patch #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ()) |
#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ()) |
#s(alt (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) (patch (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) (patch (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)) (patch (fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))) (patch #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ()) |
#s(alt (/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x) (patch (/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x) #<representation binary64>) () ()) |
#s(alt (pow.f64 (/.f64 x (+.f64 y x)) x) (patch (pow.f64 (/.f64 x (+.f64 y x)) x) #<representation binary64>) () ()) |
#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ()) |
#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (patch (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ 1 x) (taylor 0 y) (#s(alt (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (patch (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ y x)) (/ 1 x)) (taylor 0 y) (#s(alt (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (patch (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x)) (taylor 0 y) (#s(alt (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (patch (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) #<representation binary64>) () ())) ()) |
#s(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)) (taylor 0 y) (#s(alt (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (patch (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) (patch (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) (patch (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1))) (taylor 0 y) (#s(alt (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) (patch (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) #<representation binary64>) () ())) ()) |
#s(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))) (taylor 0 y) (#s(alt (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) (patch (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor 0 y) (#s(alt #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)) (patch #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 1/2 (/ y x)) 1)) (taylor 0 y) (#s(alt #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)) (patch #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* y (+ (* -1/3 (/ y (pow x 2))) (* 1/2 (/ 1 x)))) 1)) (taylor 0 y) (#s(alt #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)) (patch #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* y (+ (* y (- (* 1/4 (/ y (pow x 3))) (* 1/3 (/ 1 (pow x 2))))) (* 1/2 (/ 1 x)))) 1)) (taylor 0 y) (#s(alt #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)) (patch #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor 0 y) (#s(alt (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (patch (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ y x)) (/ 1 x)) (taylor 0 y) (#s(alt (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (patch (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x)) (taylor 0 y) (#s(alt (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (patch (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(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)) (taylor 0 y) (#s(alt (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (patch (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) (patch #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) (patch #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1))) (taylor 0 y) (#s(alt #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) (patch #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(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))) (taylor 0 y) (#s(alt #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) (patch #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor 0 y) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)) (patch (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ y x)) (/ 1 x)) (taylor 0 y) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)) (patch (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ y x)) (/ 1 x)) (taylor 0 y) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)) (patch (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ y x)) (/ 1 x)) (taylor 0 y) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)) (patch (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor 0 y) (#s(alt #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))) (patch #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ y x)) (/ 1 x)) (taylor 0 y) (#s(alt #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))) (patch #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))) #<representation binary64>) () ())) ()) |
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#s(alt (/ 1/2 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (patch (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | y | @ | inf | ((/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (* x (log (/ x (+ x y)))) (neg y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (- (/ 1 x) (/ y x)) (/ (exp (* x (log (/ x (+ x y))))) x) (/ 1 x) (/ y x) (+ (/ (/ 1/2 x) x) (/ 1/2 x)) (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/ (exp (* x (log (/ x (+ x y))))) x) (/ (pow (/ x (+ y x)) x) x) (pow (/ x (+ y x)) x) (/ x (+ y x)) (+ y x) (/ (/ 1/2 x) x)) |
| 4.0ms | y | @ | -inf | ((/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (* x (log (/ x (+ x y)))) (neg y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (- (/ 1 x) (/ y x)) (/ (exp (* x (log (/ x (+ x y))))) x) (/ 1 x) (/ y x) (+ (/ (/ 1/2 x) x) (/ 1/2 x)) (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/ (exp (* x (log (/ x (+ x y))))) x) (/ (pow (/ x (+ y x)) x) x) (pow (/ x (+ y x)) x) (/ x (+ y x)) (+ y x) (/ (/ 1/2 x) x)) |
| 2.0ms | x | @ | -inf | ((/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (* x (log (/ x (+ x y)))) (neg y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (- (/ 1 x) (/ y x)) (/ (exp (* x (log (/ x (+ x y))))) x) (/ 1 x) (/ y x) (+ (/ (/ 1/2 x) x) (/ 1/2 x)) (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/ (exp (* x (log (/ x (+ x y))))) x) (/ (pow (/ x (+ y x)) x) x) (pow (/ x (+ y x)) x) (/ x (+ y x)) (+ y x) (/ (/ 1/2 x) x)) |
| 2.0ms | x | @ | inf | ((/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (* x (log (/ x (+ x y)))) (neg y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (- (/ 1 x) (/ y x)) (/ (exp (* x (log (/ x (+ x y))))) x) (/ 1 x) (/ y x) (+ (/ (/ 1/2 x) x) (/ 1/2 x)) (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/ (exp (* x (log (/ x (+ x y))))) x) (/ (pow (/ x (+ y x)) x) x) (pow (/ x (+ y x)) x) (/ x (+ y x)) (+ y x) (/ (/ 1/2 x) x)) |
| 2.0ms | x | @ | 0 | ((/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (* x (log (/ x (+ x y)))) (neg y) (/ (exp (* x (log (/ x (+ x y))))) x) (exp (* x (log (/ x (+ x y))))) (- (/ 1 x) (/ y x)) (/ (exp (* x (log (/ x (+ x y))))) x) (/ 1 x) (/ y x) (+ (/ (/ 1/2 x) x) (/ 1/2 x)) (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/ (exp (* x (log (/ x (+ x y))))) x) (/ (pow (/ x (+ y x)) x) x) (pow (/ x (+ y x)) x) (/ x (+ y x)) (+ y x) (/ (/ 1/2 x) x)) |
| 1× | egg-herbie |
| 9 370× | lower-fma.f64 |
| 9 370× | lower-fma.f32 |
| 5 400× | lower-*.f64 |
| 5 400× | lower-*.f32 |
| 3 180× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 563 | 9601 |
| 1 | 1717 | 8160 |
| 2 | 5764 | 7906 |
| 0 | 8453 | 7494 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 x) |
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1 |
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1 |
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1 |
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1 |
(+ 1 (* -1 (/ y x))) |
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x |
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(* -1 y) |
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(/ (+ (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) |
(/ (+ (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)) |
(+ (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))))) |
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))) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(/ 1/2 (pow x 2)) |
(/ 1/2 (pow x 2)) |
(/ 1/2 (pow x 2)) |
(/ 1/2 (pow x 2)) |
(/ (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)) |
(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 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))) |
(/ (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)) |
(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 y)) x) |
(/ (+ 1 (* -1 y)) x) |
(/ (+ 1 (* -1 y)) x) |
(/ (+ 1 (* -1 y)) 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 x) |
(/ 1 x) |
(/ 1 x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y 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 (/ (+ 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 (/ (- (* 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)) |
(/ (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)) |
(/ (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)) |
(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 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))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(/ 1/2 (pow x 2)) |
(/ 1/2 (pow x 2)) |
(/ 1/2 (pow x 2)) |
(/ 1/2 (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 (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x)) |
(fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.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 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 (neg.f64 y) x) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x))) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) 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 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y #s(literal -1 binary64)) y #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 (fma.f64 (fma.f64 (neg.f64 y) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64)) |
(* -1 y) |
(neg.f64 y) |
(* y (- (* 1/2 (/ y x)) 1)) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64)) y) |
(* y (- (* y (+ (* -1/3 (/ y (pow x 2))) (* 1/2 (/ 1 x)))) 1)) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 y x) x) #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal -1 binary64)) y) |
(* y (- (* y (+ (* y (- (* 1/4 (/ y (pow x 3))) (* 1/3 (/ 1 (pow x 2))))) (* 1/2 (/ 1 x)))) 1)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) y (/.f64 #s(literal 1/2 binary64) x)) y #s(literal -1 binary64)) 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 (/ 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 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.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 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 (neg.f64 y) x) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x))) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) 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 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y #s(literal -1 binary64)) y #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 (fma.f64 (fma.f64 (neg.f64 y) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64)) |
(/ 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 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 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.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 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 (neg.f64 y) x) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x))) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
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(/.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 (fma.f64 (*.f64 (exp.f64 (neg.f64 y)) (*.f64 y y)) (/.f64 #s(literal -1/2 binary64) x) (neg.f64 (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 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 4 binary64)))) x) (exp.f64 (neg.f64 y)) (*.f64 (exp.f64 (neg.f64 y)) (*.f64 (*.f64 #s(literal 1/2 binary64) y) y))) x) (exp.f64 (neg.f64 y))) 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 (/.f64 (fma.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)) (*.f64 y y) (/.f64 (fma.f64 (neg.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 4 binary64))))) (exp.f64 (neg.f64 y)) (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 y y)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal -1/48 binary64) (fma.f64 #s(literal -1/24 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 30 binary64)) (pow.f64 y #s(literal 4 binary64))))) (/.f64 (exp.f64 (neg.f64 y)) x))) (neg.f64 x))) x) (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 (fma.f64 (*.f64 (exp.f64 (neg.f64 y)) (*.f64 y y)) (/.f64 #s(literal -1/2 binary64) x) (neg.f64 (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 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 4 binary64)))) x) (exp.f64 (neg.f64 y)) (*.f64 (exp.f64 (neg.f64 y)) (*.f64 (*.f64 #s(literal 1/2 binary64) y) y))) x) (exp.f64 (neg.f64 y))) 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 (/.f64 (fma.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)) (*.f64 y y) (/.f64 (fma.f64 (neg.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 4 binary64))))) (exp.f64 (neg.f64 y)) (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 y y)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal -1/48 binary64) (fma.f64 #s(literal -1/24 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 30 binary64)) (pow.f64 y #s(literal 4 binary64))))) (/.f64 (exp.f64 (neg.f64 y)) x))) (neg.f64 x))) x) (exp.f64 (neg.f64 y))) x) |
(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 #s(literal 1/2 binary64) x) y) y) (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 (/.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 4 binary64)))) x) (exp.f64 (neg.f64 y)) (*.f64 (exp.f64 (neg.f64 y)) (*.f64 (*.f64 #s(literal 1/2 binary64) 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 (fma.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)) (*.f64 y y) (/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 4 binary64)))) (exp.f64 (neg.f64 y))) (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 y y)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal -1/48 binary64) (fma.f64 #s(literal -1/24 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 30 binary64)) (pow.f64 y #s(literal 4 binary64))))) (/.f64 (exp.f64 (neg.f64 y)) x))) (neg.f64 x))) 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 (neg.f64 y) (/.f64 y x) y) x)) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) |
(-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (/.f64 (fma.f64 (neg.f64 y) (/.f64 y x) y) x)) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(fma.f64 (/.f64 y x) x x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(fma.f64 (/.f64 y x) x x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(fma.f64 (/.f64 y x) x x) |
(/ 1/2 (pow x 2)) |
(/.f64 (/.f64 #s(literal 1/2 binary64) x) x) |
(/ 1/2 (pow x 2)) |
(/.f64 (/.f64 #s(literal 1/2 binary64) x) x) |
(/ 1/2 (pow x 2)) |
(/.f64 (/.f64 #s(literal 1/2 binary64) x) x) |
(/ 1/2 (pow x 2)) |
(/.f64 (/.f64 #s(literal 1/2 binary64) x) x) |
| 5 160× | lower-/.f32 |
| 5 142× | lower-/.f64 |
| 4 666× | lower-fma.f32 |
| 4 662× | lower-fma.f64 |
| 3 204× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 197 |
| 0 | 51 | 185 |
| 1 | 213 | 185 |
| 2 | 1782 | 185 |
| 0 | 8335 | 181 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) |
(exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) |
#s(approx (* x (log (/ x (+ x y)))) (neg.f64 y)) |
(neg.f64 y) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
#s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))) |
(/.f64 #s(literal 1 binary64) x) |
(/.f64 y x) |
(+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) |
(fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x) |
(pow.f64 (/.f64 x (+.f64 y x)) x) |
(/.f64 x (+.f64 y x)) |
(+.f64 y x) |
(/.f64 (/.f64 #s(literal 1/2 binary64) x) x) |
| Outputs |
|---|
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Compiled 22 270 to 3 019 computations (86.4% saved)
17 alts after pruning (14 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 002 | 13 | 1 015 |
| Fresh | 3 | 1 | 4 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 007 | 17 | 1 024 |
| Status | Accuracy | Program |
|---|---|---|
| 43.9% | (/.f64 (pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) x) x) | |
| ✓ | 85.6% | (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) |
| 60.1% | (/.f64 #s(approx (pow (/ x (+ y x)) x) (fma.f64 (fma.f64 (fma.f64 (neg.f64 y) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) | |
| 60.3% | (/.f64 #s(approx (pow (/ x (+ y x)) x) (-.f64 #s(literal 1 binary64) y)) x) | |
| ✓ | 74.2% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
| ▶ | 79.6% | (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (pow.f64 (/.f64 (+.f64 y x) x) x))) |
| 63.3% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 #s(approx (+ (/ (/ 1/2 x) x) (/ 1/2 x)) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))) | |
| ▶ | 63.3% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) y (/.f64 #s(literal 1 binary64) x))) |
| 64.4% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x) x)) y (/.f64 #s(literal 1 binary64) x))) | |
| 68.0% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)) | |
| ▶ | 44.4% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x))) |
| ▶ | 41.0% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 x (*.f64 y x)) (*.f64 x x))) |
| ✓ | 60.3% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))) |
| ▶ | 4.3% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x))) |
| 67.7% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x))) | |
| 62.0% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 #s(literal 1/2 binary64) y) y)) x) x))) | |
| 6.9% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (*.f64 (*.f64 (/.f64 (/.f64 y x) x) #s(literal 1/2 binary64)) y))) |
Compiled 392 to 302 computations (23% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (*.f64 y y)) | |
| cost-diff | 0 | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x))) | |
| cost-diff | 128 | (-.f64 #s(literal 1 binary64) (neg.f64 y)) | |
| cost-diff | 1536 | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x)) | |
| cost-diff | 0 | (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x) | |
| cost-diff | 0 | #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) | |
| cost-diff | 0 | (fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) y (/.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) y (/.f64 #s(literal 1 binary64) x))) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | (-.f64 x (*.f64 y x)) | |
| cost-diff | 0 | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 x (*.f64 y x)) (*.f64 x 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 | #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x)) | |
| cost-diff | 0 | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x))) | |
| cost-diff | 0 | (pow.f64 (/.f64 (+.f64 y x) x) x) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (*.f64 (neg.f64 x) (pow.f64 (/.f64 (+.f64 y x) x) x)) | |
| cost-diff | 128 | (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (pow.f64 (/.f64 (+.f64 y x) x) x))) |
| 6 178× | lower-fma.f32 |
| 6 174× | lower-fma.f64 |
| 3 696× | lower-*.f32 |
| 3 688× | lower-*.f64 |
| 2 802× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 314 |
| 0 | 72 | 314 |
| 1 | 124 | 301 |
| 2 | 226 | 289 |
| 3 | 608 | 281 |
| 4 | 2199 | 275 |
| 5 | 6091 | 275 |
| 0 | 8101 | 270 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (pow.f64 (/.f64 (+.f64 y x) x) x))) |
#s(literal -1 binary64) |
(*.f64 (neg.f64 x) (pow.f64 (/.f64 (+.f64 y x) x) x)) |
(neg.f64 x) |
x |
(pow.f64 (/.f64 (+.f64 y x) x) x) |
(/.f64 (+.f64 y x) x) |
(+.f64 y x) |
y |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x))) |
#s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x)) |
(/.f64 (neg.f64 y) x) |
(neg.f64 y) |
y |
x |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 x (*.f64 y x)) (*.f64 x x))) |
(/.f64 (-.f64 x (*.f64 y x)) (*.f64 x x)) |
(-.f64 x (*.f64 y x)) |
x |
(*.f64 y x) |
y |
(*.f64 x x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) y (/.f64 #s(literal 1 binary64) x))) |
(fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) y (/.f64 #s(literal 1 binary64) x)) |
#s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x) |
(fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) |
#s(literal 1/2 binary64) |
y |
#s(literal -1 binary64) |
x |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.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 (-.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) (*.f64 y y)) (*.f64 x x)) |
(-.f64 #s(literal 1 binary64) (*.f64 y y)) |
#s(literal 1 binary64) |
(*.f64 y y) |
y |
(*.f64 x x) |
x |
(/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x) |
(-.f64 #s(literal 1 binary64) (neg.f64 y)) |
(neg.f64 y) |
| Outputs |
|---|
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (pow.f64 (/.f64 (+.f64 y x) x) x))) |
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (+.f64 y x) x) x) x)) |
#s(literal -1 binary64) |
(*.f64 (neg.f64 x) (pow.f64 (/.f64 (+.f64 y x) x) x)) |
(*.f64 (pow.f64 (/.f64 (+.f64 y x) x) x) (neg.f64 x)) |
(neg.f64 x) |
x |
(pow.f64 (/.f64 (+.f64 y x) x) x) |
(/.f64 (+.f64 y x) x) |
(+.f64 y x) |
y |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x))) |
#s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x)) |
(/.f64 (neg.f64 y) x) |
(neg.f64 y) |
y |
x |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 x (*.f64 y x)) (*.f64 x x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 #s(literal 1 binary64) y) x)) |
(/.f64 (-.f64 x (*.f64 y x)) (*.f64 x x)) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(-.f64 x (*.f64 y x)) |
(fma.f64 (neg.f64 y) x x) |
x |
(*.f64 y x) |
y |
(*.f64 x x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) y (/.f64 #s(literal 1 binary64) x))) |
(fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) y (/.f64 #s(literal 1 binary64) x)) |
#s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x) |
(fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) |
#s(literal 1/2 binary64) |
y |
#s(literal -1 binary64) |
x |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (fma.f64 y y #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 (fma.f64 y y #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 (fma.f64 y y #s(literal -1 binary64)) x) (neg.f64 x)) |
(-.f64 #s(literal 1 binary64) (*.f64 y y)) |
(fma.f64 (neg.f64 y) y #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 y y) |
y |
(*.f64 x x) |
x |
(/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x) |
(/.f64 (-.f64 y #s(literal -1 binary64)) x) |
(-.f64 #s(literal 1 binary64) (neg.f64 y)) |
(-.f64 y #s(literal -1 binary64)) |
(neg.f64 y) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.01171875 | (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x) | |
| accuracy | 3.430731559071514 | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) | |
| accuracy | 17.673045021796224 | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x))) | |
| accuracy | 23.961650788998572 | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x)) | |
| accuracy | 0.00390625 | (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x) | |
| accuracy | 0.9551127815391037 | (fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) y (/.f64 #s(literal 1 binary64) x)) | |
| accuracy | 13.003909198443738 | #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) | |
| accuracy | 20.0415186870092 | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) y (/.f64 #s(literal 1 binary64) x))) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.0078125 | (-.f64 x (*.f64 y x)) | |
| accuracy | 17.673045021796224 | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 x (*.f64 y x)) (*.f64 x x))) | |
| accuracy | 20.568650172785066 | (/.f64 (-.f64 x (*.f64 y x)) (*.f64 x x)) | |
| accuracy | 0 | (/.f64 (neg.f64 y) x) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 17.673045021796224 | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x))) | |
| accuracy | 37.13383769419247 | #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x)) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0.00390625 | (*.f64 (neg.f64 x) (pow.f64 (/.f64 (+.f64 y x) x) x)) | |
| accuracy | 0.015625 | (/.f64 (+.f64 y x) x) | |
| accuracy | 8.423324066117752 | (pow.f64 (/.f64 (+.f64 y x) x) x) |
| 109.0ms | 104× | 1 | valid |
| 51.0ms | 120× | 0 | valid |
| 14.0ms | 17× | 1 | exit |
| 5.0ms | 15× | 0 | exit |
Compiled 232 to 45 computations (80.6% saved)
ival-div: 51.0ms (33.8% of total)ival-log: 32.0ms (21.2% of total)ival-pow: 16.0ms (10.6% of total)ival-mult: 16.0ms (10.6% of total)adjust: 13.0ms (8.6% of total)ival-add: 11.0ms (7.3% of total)ival-sub: 6.0ms (4% of total)ival-exp: 3.0ms (2% of total)ival-neg: 3.0ms (2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (pow.f64 (/.f64 (+.f64 y x) x) x))) (patch (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (pow.f64 (/.f64 (+.f64 y x) x) x))) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 x) (pow.f64 (/.f64 (+.f64 y x) x) x)) (patch (*.f64 (neg.f64 x) (pow.f64 (/.f64 (+.f64 y x) x) x)) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
#s(alt (pow.f64 (/.f64 (+.f64 y x) x) x) (patch (pow.f64 (/.f64 (+.f64 y x) x) x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x))) (patch #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x)) (patch #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (neg.f64 y) x) (patch (/.f64 (neg.f64 y) x) #<representation binary64>) () ()) |
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 x (*.f64 y x)) (*.f64 x x)) (patch (/.f64 (-.f64 x (*.f64 y x)) (*.f64 x x)) #<representation binary64>) () ()) |
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| Outputs |
|---|
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 33.0ms | y | @ | inf | ((/ -1 (* (neg x) (pow (/ (+ y x) x) x))) (* (neg x) (pow (/ (+ y x) x) x)) (neg x) (pow (/ (+ y x) x) x) (/ (exp (* x (log (/ x (+ x y))))) x) (- (/ 1 x) (/ y x)) (/ (neg y) x) (neg y) (/ (- x (* y x)) (* x x)) (/ (exp (* x (log (/ x (+ x y))))) x) (- x (* y x)) (* y x) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/ (+ (* 1/2 y) -1) x) (/ (/ (- 1 (* y y)) (* x x)) (/ (- 1 (neg y)) x)) (- 1 (neg y)) (/ (exp (* x (log (/ x (+ x y))))) x) (- 1 (* y y)) (/ (+ y x) x) (* x x) (/ (- 1 (* y y)) (* x x)) (/ (- 1 (neg y)) x)) |
| 13.0ms | x | @ | 0 | ((/ -1 (* (neg x) (pow (/ (+ y x) x) x))) (* (neg x) (pow (/ (+ y x) x) x)) (neg x) (pow (/ (+ y x) x) x) (/ (exp (* x (log (/ x (+ x y))))) x) (- (/ 1 x) (/ y x)) (/ (neg y) x) (neg y) (/ (- x (* y x)) (* x x)) (/ (exp (* x (log (/ x (+ x y))))) x) (- x (* y x)) (* y x) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/ (+ (* 1/2 y) -1) x) (/ (/ (- 1 (* y y)) (* x x)) (/ (- 1 (neg y)) x)) (- 1 (neg y)) (/ (exp (* x (log (/ x (+ x y))))) x) (- 1 (* y y)) (/ (+ y x) x) (* x x) (/ (- 1 (* y y)) (* x x)) (/ (- 1 (neg y)) x)) |
| 8.0ms | y | @ | -inf | ((/ -1 (* (neg x) (pow (/ (+ y x) x) x))) (* (neg x) (pow (/ (+ y x) x) x)) (neg x) (pow (/ (+ y x) x) x) (/ (exp (* x (log (/ x (+ x y))))) x) (- (/ 1 x) (/ y x)) (/ (neg y) x) (neg y) (/ (- x (* y x)) (* x x)) (/ (exp (* x (log (/ x (+ x y))))) x) (- x (* y x)) (* y x) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/ (+ (* 1/2 y) -1) x) (/ (/ (- 1 (* y y)) (* x x)) (/ (- 1 (neg y)) x)) (- 1 (neg y)) (/ (exp (* x (log (/ x (+ x y))))) x) (- 1 (* y y)) (/ (+ y x) x) (* x x) (/ (- 1 (* y y)) (* x x)) (/ (- 1 (neg y)) x)) |
| 6.0ms | x | @ | -inf | ((/ -1 (* (neg x) (pow (/ (+ y x) x) x))) (* (neg x) (pow (/ (+ y x) x) x)) (neg x) (pow (/ (+ y x) x) x) (/ (exp (* x (log (/ x (+ x y))))) x) (- (/ 1 x) (/ y x)) (/ (neg y) x) (neg y) (/ (- x (* y x)) (* x x)) (/ (exp (* x (log (/ x (+ x y))))) x) (- x (* y x)) (* y x) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/ (+ (* 1/2 y) -1) x) (/ (/ (- 1 (* y y)) (* x x)) (/ (- 1 (neg y)) x)) (- 1 (neg y)) (/ (exp (* x (log (/ x (+ x y))))) x) (- 1 (* y y)) (/ (+ y x) x) (* x x) (/ (- 1 (* y y)) (* x x)) (/ (- 1 (neg y)) x)) |
| 6.0ms | x | @ | inf | ((/ -1 (* (neg x) (pow (/ (+ y x) x) x))) (* (neg x) (pow (/ (+ y x) x) x)) (neg x) (pow (/ (+ y x) x) x) (/ (exp (* x (log (/ x (+ x y))))) x) (- (/ 1 x) (/ y x)) (/ (neg y) x) (neg y) (/ (- x (* y x)) (* x x)) (/ (exp (* x (log (/ x (+ x y))))) x) (- x (* y x)) (* y x) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/ (+ (* 1/2 y) -1) x) (/ (/ (- 1 (* y y)) (* x x)) (/ (- 1 (neg y)) x)) (- 1 (neg y)) (/ (exp (* x (log (/ x (+ x y))))) x) (- 1 (* y y)) (/ (+ y x) x) (* x x) (/ (- 1 (* y y)) (* x x)) (/ (- 1 (neg y)) x)) |
| 1× | egg-herbie |
| 10 856× | lower-fma.f64 |
| 10 856× | lower-fma.f32 |
| 6 904× | lower-*.f64 |
| 6 904× | lower-*.f32 |
| 5 530× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 803 | 9579 |
| 1 | 2601 | 8323 |
| 0 | 8267 | 7975 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 x) |
(+ (* -1 (/ y x)) (/ 1 x)) |
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x)) |
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1 |
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(/ 1 x) |
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(/ 1 x) |
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(* -1 (/ y x)) |
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(* -1 y) |
(* -1 y) |
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x |
(+ x (* -1 (* x y))) |
(+ x (* -1 (* x y))) |
(+ x (* -1 (* x y))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ 1 x) |
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(+ (* y (- (* y (+ (* -1 (/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) (/ 1 x))) (/ 1 x)) |
(/ 1 x) |
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(/ -1 x) |
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(/ -1 x) |
(- (* 1/2 (/ y x)) (/ 1 x)) |
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(/ 1 x) |
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(+ (* -1 (/ y x)) (/ 1 x)) |
(+ (* -1 (/ y x)) (/ 1 x)) |
1 |
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(+ 1 y) |
(/ 1 x) |
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(+ (* y (- (* y (+ (* -1 (/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) (/ 1 x))) (/ 1 x)) |
1 |
(+ 1 (* -1 (pow y 2))) |
(+ 1 (* -1 (pow y 2))) |
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1 |
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(/ 1 (pow x 2)) |
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(+ (* -1 (/ (pow y 2) (pow x 2))) (/ 1 (pow x 2))) |
(+ (* -1 (/ (pow y 2) (pow x 2))) (/ 1 (pow x 2))) |
(/ 1 x) |
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(+ (/ 1 x) (/ y x)) |
(+ (/ 1 x) (/ y x)) |
(/ 1 (* x (exp (* x (+ (log (/ 1 x)) (* -1 (log (/ 1 y)))))))) |
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(/ (+ 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) |
(/ y x) |
(/ (+ x y) x) |
(/ (+ x y) x) |
(/ (+ x y) x) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(/ (- 1 (pow y 2)) (pow x 2)) |
(/ (- 1 (pow y 2)) (pow x 2)) |
(/ (- 1 (pow y 2)) (pow x 2)) |
(/ (- 1 (pow y 2)) (pow x 2)) |
(/ (+ 1 y) x) |
(/ (+ 1 y) x) |
(/ (+ 1 y) x) |
(/ (+ 1 y) x) |
(/ 1 (* x (exp y))) |
(/ (+ (* 1/2 (/ (pow y 2) (* x (exp y)))) (/ 1 (exp y))) x) |
(/ (- (+ (* -1 (/ (+ (* -1/4 (/ (pow y 4) (exp y))) (+ (* 1/8 (/ (pow y 4) (exp y))) (* 1/3 (/ (pow y 3) (exp y))))) (pow x 2))) (/ 1 (exp y))) (* -1/2 (/ (pow y 2) (* x (exp y))))) x) |
(/ (- (+ (* -1 (/ (+ (* -1/4 (/ (pow y 4) (exp y))) (+ (* -1/6 (/ (pow y 5) (exp y))) (+ (* -1/48 (/ (pow y 6) (exp y))) (+ (* 1/2 (* (pow y 2) (+ (* -1/4 (/ (pow y 4) (exp y))) (+ (* 1/8 (/ (pow y 4) (exp y))) (* 1/3 (/ (pow y 3) (exp y))))))) (* 1/2 (/ (* (pow y 2) (+ (* 1/8 (pow y 4)) (* 1/3 (pow y 3)))) (exp y))))))) (pow x 3))) (/ 1 (exp y))) (+ (* -1/2 (/ (pow y 2) (* x (exp y)))) (+ (* -1/4 (/ (pow y 4) (* (pow x 2) (exp y)))) (+ (* 1/8 (/ (pow y 4) (* (pow x 2) (exp y)))) (* 1/3 (/ (pow y 3) (* (pow x 2) (exp y)))))))) x) |
(* -1 (* x (exp y))) |
(* x (+ (* -1 (exp y)) (* 1/2 (/ (* (pow y 2) (exp y)) x)))) |
(* x (+ (* -1 (exp y)) (+ (* -1 (/ (* (exp y) (+ (* 1/8 (pow y 4)) (* 1/3 (pow y 3)))) (pow x 2))) (* 1/2 (/ (* (pow y 2) (exp y)) x))))) |
(* x (+ (* -1 (exp y)) (+ (* -1 (/ (* (exp y) (+ (* -1/4 (pow y 4)) (+ (* -1/6 (pow y 5)) (* -1/48 (pow y 6))))) (pow x 3))) (+ (* -1 (/ (* (exp y) (+ (* 1/8 (pow y 4)) (* 1/3 (pow y 3)))) (pow x 2))) (* 1/2 (/ (* (pow y 2) (exp y)) x)))))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(exp y) |
(+ (exp y) (* -1/2 (/ (* (pow y 2) (exp y)) x))) |
(+ (exp y) (+ (* -1/2 (/ (* (pow y 2) (exp y)) x)) (/ (* (exp y) (+ (* 1/8 (pow y 4)) (* 1/3 (pow y 3)))) (pow x 2)))) |
(+ (exp y) (+ (* -1/2 (/ (* (pow y 2) (exp y)) x)) (+ (/ (* (exp y) (+ (* -1/4 (pow y 4)) (+ (* -1/6 (pow y 5)) (* -1/48 (pow y 6))))) (pow x 3)) (/ (* (exp y) (+ (* 1/8 (pow y 4)) (* 1/3 (pow y 3)))) (pow x 2))))) |
(/ (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) |
(/ (- 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) |
(/ (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) |
(* x (- 1 y)) |
(* x (- 1 y)) |
(* x (- 1 y)) |
(* x (- 1 y)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ (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) |
(/ (+ 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) |
(/ (- (* 1/2 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) |
(/ (- (* 1/2 y) 1) x) |
(/ (- (* 1/2 y) 1) x) |
(/ (- (* 1/2 y) 1) x) |
(/ (- (* 1/2 y) 1) x) |
(/ (- 1 (pow y 2)) (* x (+ 1 y))) |
(/ (- 1 (pow y 2)) (* x (+ 1 y))) |
(/ (- 1 (pow y 2)) (* x (+ 1 y))) |
(/ (- 1 (pow y 2)) (* x (+ 1 y))) |
(/ (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) |
1 |
(+ 1 (/ y x)) |
(+ 1 (/ y x)) |
(+ 1 (/ y x)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(/ (- 1 (pow y 2)) (pow x 2)) |
(/ (- 1 (pow y 2)) (pow x 2)) |
(/ (- 1 (pow y 2)) (pow x 2)) |
(/ (- 1 (pow y 2)) (pow x 2)) |
(/ (+ 1 y) x) |
(/ (+ 1 y) x) |
(/ (+ 1 y) x) |
(/ (+ 1 y) x) |
(/ 1 (* x (exp y))) |
(* -1 (/ (- (* -1/2 (/ (pow y 2) (* x (exp y)))) (/ 1 (exp y))) x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow y 4) (exp y))) (+ (* 1/8 (/ (pow y 4) (exp y))) (* 1/3 (/ (pow y 3) (exp y))))) x)) (* 1/2 (/ (pow y 2) (exp y)))) x)) (/ 1 (exp y))) x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow y 2) (+ (* -1/4 (/ (pow y 4) (exp y))) (+ (* 1/8 (/ (pow y 4) (exp y))) (* 1/3 (/ (pow y 3) (exp y))))))) (+ (* -1/2 (/ (* (pow y 2) (+ (* 1/8 (pow y 4)) (* 1/3 (pow y 3)))) (exp y))) (+ (* 1/48 (/ (pow y 6) (exp y))) (+ (* 1/6 (/ (pow y 5) (exp y))) (* 1/4 (/ (pow y 4) (exp y))))))) x)) (+ (* -1/4 (/ (pow y 4) (exp y))) (+ (* 1/8 (/ (pow y 4) (exp y))) (* 1/3 (/ (pow y 3) (exp y)))))) x)) (* 1/2 (/ (pow y 2) (exp y)))) x)) (/ 1 (exp y))) x)) |
(* -1 (* x (exp y))) |
(* -1 (* x (+ (exp y) (* -1/2 (/ (* (pow y 2) (exp y)) x))))) |
(* -1 (* x (+ (exp y) (* -1 (/ (+ (* -1 (/ (* (exp y) (+ (* 1/8 (pow y 4)) (* 1/3 (pow y 3)))) x)) (* 1/2 (* (pow y 2) (exp y)))) x))))) |
(* -1 (* x (+ (exp y) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp y) (+ (* 1/48 (pow y 6)) (+ (* 1/6 (pow y 5)) (* 1/4 (pow y 4))))) x)) (* (exp y) (+ (* 1/8 (pow y 4)) (* 1/3 (pow y 3))))) x)) (* 1/2 (* (pow y 2) (exp y)))) x))))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(exp y) |
(+ (exp y) (* -1/2 (/ (* (pow y 2) (exp y)) x))) |
(+ (exp y) (* -1 (/ (+ (* -1 (/ (* (exp y) (+ (* 1/8 (pow y 4)) (* 1/3 (pow y 3)))) x)) (* 1/2 (* (pow y 2) (exp y)))) x))) |
(+ (exp y) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp y) (+ (* 1/48 (pow y 6)) (+ (* 1/6 (pow y 5)) (* 1/4 (pow y 4))))) x)) (* (exp y) (+ (* 1/8 (pow y 4)) (* 1/3 (pow y 3))))) x)) (* 1/2 (* (pow y 2) (exp y)))) 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 (* -1 y)) x) |
(/ (+ 1 (* -1 y)) x) |
(/ (+ 1 (* -1 y)) x) |
(/ (+ 1 (* -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) |
(/ (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)) |
(* x (+ 1 (* -1 y))) |
(* x (+ 1 (* -1 y))) |
(* x (+ 1 (* -1 y))) |
(* x (+ 1 (* -1 y))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ (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 (/ (- (* 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 (/ (+ 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)) |
(/ (- (* 1/2 y) 1) x) |
(/ (- (* 1/2 y) 1) x) |
(/ (- (* 1/2 y) 1) x) |
(/ (- (* 1/2 y) 1) x) |
(/ (- 1 (pow y 2)) (* x (+ 1 y))) |
(/ (- 1 (pow y 2)) (* x (+ 1 y))) |
(/ (- 1 (pow y 2)) (* x (+ 1 y))) |
(/ (- 1 (pow y 2)) (* x (+ 1 y))) |
(/ (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 |
(+ 1 (/ y x)) |
(+ 1 (/ y x)) |
(+ 1 (/ y x)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(/ (- 1 (pow y 2)) (pow x 2)) |
(/ (- 1 (pow y 2)) (pow x 2)) |
(/ (- 1 (pow y 2)) (pow x 2)) |
(/ (- 1 (pow y 2)) (pow x 2)) |
(/ (+ 1 y) x) |
(/ (+ 1 y) x) |
(/ (+ 1 y) x) |
(/ (+ 1 y) x) |
| Outputs |
|---|
(/ 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 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)) |
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (* y (- (* 1/2 (/ 1 (pow x 2))) (+ (* -1 (/ (- 1/2 (* 1/2 (/ 1 x))) x)) (+ (* 1/6 (/ 1 x)) (+ (* 1/3 (/ 1 (pow x 3))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))))))))) (/ 1 x))) (/ 1 x)) |
(fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 1/6 binary64) x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))) y (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (* -1 (* x y))) |
(neg.f64 (fma.f64 y x x)) |
(+ (* -1 x) (* y (+ (* -1 x) (* -1 (* x (* y (- 1/2 (* 1/2 (/ 1 x))))))))) |
(fma.f64 (neg.f64 y) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) x) (neg.f64 x)) |
(+ (* -1 x) (* y (+ (* -1 x) (* y (+ (* -1 (* x (* y (- (+ 1/6 (* 1/3 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x)))))) (* -1 (* x (- 1/2 (* 1/2 (/ 1 x)))))))))) |
(fma.f64 (fma.f64 (*.f64 (neg.f64 x) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) y (neg.f64 x)) y (neg.f64 x)) |
1 |
#s(literal 1 binary64) |
(+ 1 y) |
(+.f64 y #s(literal 1 binary64)) |
(+ 1 (* y (+ 1 (* y (- 1/2 (* 1/2 (/ 1 x))))))) |
(fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(+ 1 (* y (+ 1 (* y (- (+ 1/2 (* y (- (+ 1/6 (* 1/3 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x))))) (* 1/2 (/ 1 x))))))) |
(fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) y #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(+ (* -1 (/ y x)) (/ 1 x)) |
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(* -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 (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 y)) (*.f64 y y) (/.f64 (fma.f64 (neg.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64) (*.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 1/8 binary64)))) (exp.f64 (neg.f64 y)) (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 y y)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal -1/48 binary64) (*.f64 #s(literal -1/24 binary64) (fma.f64 #s(literal -24 binary64) (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 30 binary64)))))) (exp.f64 (neg.f64 y))) x)) (neg.f64 x))) (neg.f64 x)) (exp.f64 (neg.f64 y))) (neg.f64 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 (/ y x)) |
(/.f64 (neg.f64 y) x) |
(* -1 (/ y x)) |
(/.f64 (neg.f64 y) x) |
(* -1 (/ y x)) |
(/.f64 (neg.f64 y) x) |
(* -1 (/ y x)) |
(/.f64 (neg.f64 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) |
(/ (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 (fma.f64 (/.f64 (/.f64 (*.f64 y y) (exp.f64 y)) x) #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (exp.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 (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 y)) (*.f64 y y) (*.f64 (exp.f64 (neg.f64 y)) (/.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64) (*.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 1/8 binary64))) x))) (neg.f64 x)) (exp.f64 (neg.f64 y))) (neg.f64 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 (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 y)) (*.f64 y y) (/.f64 (fma.f64 (neg.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64) (*.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 1/8 binary64)))) (exp.f64 (neg.f64 y)) (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 y y)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal -1/48 binary64) (*.f64 #s(literal -1/24 binary64) (fma.f64 #s(literal -24 binary64) (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 30 binary64)))))) (exp.f64 (neg.f64 y))) x)) (neg.f64 x))) (neg.f64 x)) (exp.f64 (neg.f64 y))) (neg.f64 x)) |
(* x (+ 1 (* -1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* x (+ 1 (* -1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* x (+ 1 (* -1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* x (+ 1 (* -1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.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 (fma.f64 (/.f64 (/.f64 (*.f64 y y) (exp.f64 y)) x) #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (exp.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 (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 y)) (*.f64 y y) (*.f64 (exp.f64 (neg.f64 y)) (/.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64) (*.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 1/8 binary64))) x))) (neg.f64 x)) (exp.f64 (neg.f64 y))) (neg.f64 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 (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 y)) (*.f64 y y) (/.f64 (fma.f64 (neg.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64) (*.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 1/8 binary64)))) (exp.f64 (neg.f64 y)) (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 y y)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal -1/48 binary64) (*.f64 #s(literal -1/24 binary64) (fma.f64 #s(literal -24 binary64) (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 30 binary64)))))) (exp.f64 (neg.f64 y))) x)) (neg.f64 x))) (neg.f64 x)) (exp.f64 (neg.f64 y))) (neg.f64 x)) |
(* -1 (/ (- (* y (+ 1 (* -1/2 y))) 1) x)) |
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1 binary64)) y #s(literal -1 binary64)) (neg.f64 x)) |
(* -1 (/ (- (+ (* -1/2 (/ (pow y 2) x)) (* y (+ 1 (* -1/2 y)))) 1) x)) |
(/.f64 (fma.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1 binary64)) y #s(literal -1 binary64))) (neg.f64 x)) |
(* -1 (/ (- (+ (* -1/2 (/ (pow y 2) x)) (* y (+ 1 (* -1/2 y)))) 1) x)) |
(/.f64 (fma.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1 binary64)) y #s(literal -1 binary64))) (neg.f64 x)) |
(* -1 (/ (- (+ (* -1/2 (/ (pow y 2) x)) (* y (+ 1 (* -1/2 y)))) 1) x)) |
(/.f64 (fma.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1 binary64)) y #s(literal -1 binary64))) (neg.f64 x)) |
(* -1 (/ (+ 1 (* -1/2 y)) x)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1 binary64)) (neg.f64 x)) |
(* -1 (/ (+ 1 (+ (* -1/2 y) (* -1/2 (/ y x)))) x)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 y x) y) #s(literal 1 binary64)) (neg.f64 x)) |
(* -1 (/ (+ 1 (+ (* -1/2 y) (* -1/2 (/ y x)))) x)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 y x) y) #s(literal 1 binary64)) (neg.f64 x)) |
(* -1 (/ (+ 1 (+ (* -1/2 y) (* -1/2 (/ y x)))) x)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 y x) y) #s(literal 1 binary64)) (neg.f64 x)) |
(/ (- (* 1/2 y) 1) x) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x) |
(/ (- (* 1/2 y) 1) x) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x) |
(/ (- (* 1/2 y) 1) x) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x) |
(/ (- (* 1/2 y) 1) x) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x) |
(/ (- 1 (pow y 2)) (* x (+ 1 y))) |
(/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (fma.f64 y x x)) |
(/ (- 1 (pow y 2)) (* x (+ 1 y))) |
(/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (fma.f64 y x x)) |
(/ (- 1 (pow y 2)) (* x (+ 1 y))) |
(/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (fma.f64 y x x)) |
(/ (- 1 (pow y 2)) (* x (+ 1 y))) |
(/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (fma.f64 y x 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 (fma.f64 (/.f64 (/.f64 (*.f64 y y) (exp.f64 y)) x) #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (exp.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 (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 y)) (*.f64 y y) (*.f64 (exp.f64 (neg.f64 y)) (/.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64) (*.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 1/8 binary64))) x))) (neg.f64 x)) (exp.f64 (neg.f64 y))) (neg.f64 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 (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 y)) (*.f64 y y) (/.f64 (fma.f64 (neg.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64) (*.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 1/8 binary64)))) (exp.f64 (neg.f64 y)) (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 y y)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal -1/48 binary64) (*.f64 #s(literal -1/24 binary64) (fma.f64 #s(literal -24 binary64) (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 30 binary64)))))) (exp.f64 (neg.f64 y))) x)) (neg.f64 x))) (neg.f64 x)) (exp.f64 (neg.f64 y))) (neg.f64 x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ y x)) |
(+.f64 (/.f64 y x) #s(literal 1 binary64)) |
(+ 1 (/ y x)) |
(+.f64 (/.f64 y x) #s(literal 1 binary64)) |
(+ 1 (/ y x)) |
(+.f64 (/.f64 y x) #s(literal 1 binary64)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(/ (- 1 (pow y 2)) (pow x 2)) |
(/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (*.f64 x x)) |
(/ (- 1 (pow y 2)) (pow x 2)) |
(/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (*.f64 x x)) |
(/ (- 1 (pow y 2)) (pow x 2)) |
(/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (*.f64 x x)) |
(/ (- 1 (pow y 2)) (pow x 2)) |
(/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (*.f64 x x)) |
(/ (+ 1 y) x) |
(/.f64 (+.f64 y #s(literal 1 binary64)) x) |
(/ (+ 1 y) x) |
(/.f64 (+.f64 y #s(literal 1 binary64)) x) |
(/ (+ 1 y) x) |
(/.f64 (+.f64 y #s(literal 1 binary64)) x) |
(/ (+ 1 y) x) |
(/.f64 (+.f64 y #s(literal 1 binary64)) x) |
| 4 996× | lower-/.f32 |
| 4 978× | lower-/.f64 |
| 3 978× | lower-fma.f32 |
| 3 974× | lower-fma.f64 |
| 3 402× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 281 |
| 0 | 72 | 265 |
| 1 | 337 | 236 |
| 2 | 2995 | 234 |
| 0 | 9560 | 227 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (pow.f64 (/.f64 (+.f64 y x) x) x))) |
(*.f64 (neg.f64 x) (pow.f64 (/.f64 (+.f64 y x) x) x)) |
(neg.f64 x) |
(pow.f64 (/.f64 (+.f64 y x) x) x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x))) |
#s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x)) |
(/.f64 (neg.f64 y) x) |
(neg.f64 y) |
(/.f64 (-.f64 x (*.f64 y x)) (*.f64 x x)) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 x (*.f64 y x)) (*.f64 x x))) |
(-.f64 x (*.f64 y x)) |
(*.f64 y x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) y (/.f64 #s(literal 1 binary64) x))) |
(fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) y (/.f64 #s(literal 1 binary64) x)) |
#s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x)) |
(-.f64 #s(literal 1 binary64) (neg.f64 y)) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x))) |
(-.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/.f64 (+.f64 y x) x) |
(*.f64 x x) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x) |
| Outputs |
|---|
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Compiled 39 778 to 4 659 computations (88.3% saved)
26 alts after pruning (23 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 950 | 16 | 1 966 |
| Fresh | 2 | 7 | 9 |
| Picked | 4 | 1 | 5 |
| Done | 1 | 2 | 3 |
| Total | 1 957 | 26 | 1 983 |
| Status | Accuracy | Program |
|---|---|---|
| 43.9% | (/.f64 (pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) x) x) | |
| ✓ | 85.6% | (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) |
| 60.1% | (/.f64 #s(approx (pow (/ x (+ y x)) x) (fma.f64 (fma.f64 (fma.f64 (neg.f64 y) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) | |
| ▶ | 60.3% | (/.f64 #s(approx (pow (/ x (+ y x)) x) (-.f64 #s(literal 1 binary64) y)) x) |
| ✓ | 74.2% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
| 44.0% | (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (pow.f64 #s(approx (/ (+ y x) x) (/.f64 y x)) x))) | |
| 62.3% | (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))) | |
| 65.7% | (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))) | |
| 62.3% | (/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (fma.f64 (fma.f64 (*.f64 (neg.f64 x) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) y (neg.f64 x)) y (neg.f64 x)))) | |
| 65.8% | (/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (fma.f64 (neg.f64 y) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) x) (neg.f64 x)))) | |
| 66.3% | (/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (fma.f64 y x x)))) | |
| ▶ | 64.4% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x) x)) y (/.f64 #s(literal 1 binary64) x))) |
| 63.2% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) #s(approx (/ (+ (* 1/2 y) -1) x) (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))) y (/.f64 #s(literal 1 binary64) x))) | |
| 39.0% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (fma.f64 y x x) (*.f64 x x))) | |
| ▶ | 68.0% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)) |
| 26.4% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (/.f64 (*.f64 (fma.f64 y x x) (fma.f64 y x x)) (*.f64 (*.f64 x x) (fma.f64 y x x))))) | |
| 41.8% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (/.f64 #s(approx (- 1 (neg y)) #s(literal 1 binary64)) x))) | |
| 39.3% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x x)) x) (*.f64 x x))) | |
| ▶ | 45.7% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x))) |
| ✓ | 4.3% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x))) |
| 4.3% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 #s(literal -1 binary64) (/.f64 x y)))) | |
| 4.3% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (*.f64 y (/.f64 #s(literal -1 binary64) x)))) | |
| ▶ | 67.7% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x))) |
| 62.0% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 #s(literal 1/2 binary64) y) y)) x) x))) | |
| 8.5% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (*.f64 (/.f64 (*.f64 y y) x) (/.f64 #s(literal 1/2 binary64) x)))) | |
| 11.0% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (*.f64 (*.f64 y y) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))))) |
Compiled 722 to 523 computations (27.6% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x) x)) | |
| cost-diff | 0 | (fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x) x)) y (/.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x) x)) y (/.f64 #s(literal 1 binary64) x))) | |
| cost-diff | 192 | (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) | |
| cost-diff | 0 | #s(approx (- 1 (* y y)) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x))) | |
| cost-diff | 128 | (-.f64 #s(literal 1 binary64) (neg.f64 y)) | |
| cost-diff | 1920 | (/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)) | |
| cost-diff | 0 | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x))) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | #s(approx (pow (/ x (+ y x)) x) (-.f64 #s(literal 1 binary64) y)) | |
| cost-diff | 0 | (/.f64 #s(approx (pow (/ x (+ y x)) x) (-.f64 #s(literal 1 binary64) y)) x) | |
| cost-diff | 0 | (-.f64 x (*.f64 y x)) | |
| cost-diff | 0 | (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x) | |
| cost-diff | 0 | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)) | |
| cost-diff | 1024 | (/.f64 (-.f64 x (*.f64 y x)) x) |
| 8 554× | lower-fma.f32 |
| 8 546× | lower-fma.f64 |
| 3 122× | lower-*.f32 |
| 3 116× | lower-*.f64 |
| 2 464× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 417 |
| 0 | 78 | 421 |
| 1 | 125 | 401 |
| 2 | 220 | 389 |
| 3 | 596 | 381 |
| 4 | 2424 | 371 |
| 5 | 6574 | 363 |
| 0 | 8210 | 358 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)) |
(/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x) |
(/.f64 (-.f64 x (*.f64 y x)) x) |
(-.f64 x (*.f64 y x)) |
x |
(*.f64 y x) |
y |
(/.f64 #s(approx (pow (/ x (+ y x)) x) (-.f64 #s(literal 1 binary64) y)) x) |
#s(approx (pow (/ x (+ y x)) x) (-.f64 #s(literal 1 binary64) y)) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
x |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x))) |
#s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) |
#s(literal 1/2 binary64) |
y |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
x |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x))) |
(/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x)) |
(/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (*.f64 x x)) |
#s(approx (- 1 (* y y)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 x x) |
x |
(/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x) |
(-.f64 #s(literal 1 binary64) (neg.f64 y)) |
(neg.f64 y) |
y |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x) x)) y (/.f64 #s(literal 1 binary64) x))) |
(fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x) x)) y (/.f64 #s(literal 1 binary64) x)) |
#s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x) x)) |
(/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) |
(fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) |
#s(literal 1/2 binary64) |
y |
#s(literal -1 binary64) |
x |
(*.f64 #s(literal 1/2 binary64) y) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
| Outputs |
|---|
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 #s(literal 1 binary64) y) x)) |
(/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(/.f64 (-.f64 x (*.f64 y x)) x) |
(-.f64 #s(literal 1 binary64) y) |
(-.f64 x (*.f64 y x)) |
x |
(*.f64 y x) |
y |
(/.f64 #s(approx (pow (/ x (+ y x)) x) (-.f64 #s(literal 1 binary64) y)) x) |
#s(approx (pow (/ x (+ y x)) x) (-.f64 #s(literal 1 binary64) y)) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
x |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x))) |
#s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) |
#s(literal 1/2 binary64) |
y |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
x |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (fma.f64 y x x))) |
(/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x)) |
(/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (fma.f64 y x x)) |
(/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (*.f64 x x)) |
(/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) x) x) |
#s(approx (- 1 (* y y)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 x x) |
x |
(/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x) |
(/.f64 (-.f64 y #s(literal -1 binary64)) x) |
(-.f64 #s(literal 1 binary64) (neg.f64 y)) |
(-.f64 y #s(literal -1 binary64)) |
(neg.f64 y) |
y |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x) x)) y (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (fma.f64 (/.f64 y x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x))) y (/.f64 #s(literal 1 binary64) x))) |
(fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x) x)) y (/.f64 #s(literal 1 binary64) x)) |
(fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (fma.f64 (/.f64 y x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x))) y (/.f64 #s(literal 1 binary64) x)) |
#s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x) x)) |
#s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (fma.f64 (/.f64 y x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x))) |
(/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x) x) |
(fma.f64 (/.f64 y x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y (neg.f64 x)) x) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y (neg.f64 x)) |
(fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) |
#s(literal 1/2 binary64) |
y |
#s(literal -1 binary64) |
x |
(*.f64 #s(literal 1/2 binary64) y) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.06640625 | (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x) x) | |
| accuracy | 0.9941752815391037 | (fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x) x)) y (/.f64 #s(literal 1 binary64) x)) | |
| accuracy | 8.945663447817816 | (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x) | |
| accuracy | 26.043047448566252 | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x) x)) y (/.f64 #s(literal 1 binary64) x))) | |
| accuracy | 8.16892773610509 | (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (*.f64 x x)) | |
| accuracy | 25.427283913736602 | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x))) | |
| accuracy | 25.506164864502676 | (/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x)) | |
| accuracy | 26.0209756132407 | #s(approx (- 1 (* y y)) #s(literal 1 binary64)) | |
| accuracy | 0 | (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) | |
| accuracy | 4.511724488335664 | (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x) | |
| accuracy | 10.178143791262341 | #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)) | |
| accuracy | 26.043047448566252 | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x))) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) y) | |
| accuracy | 0.0078125 | (/.f64 #s(approx (pow (/ x (+ y x)) x) (-.f64 #s(literal 1 binary64) y)) x) | |
| accuracy | 25.4230003089481 | #s(approx (pow (/ x (+ y x)) x) (-.f64 #s(literal 1 binary64) y)) | |
| accuracy | 0.0078125 | (-.f64 x (*.f64 y x)) | |
| accuracy | 0.01171875 | (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x) | |
| accuracy | 8.932058879287677 | (/.f64 (-.f64 x (*.f64 y x)) x) | |
| accuracy | 25.427283913736602 | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)) |
| 194.0ms | 122× | 1 | valid |
| 69.0ms | 134× | 0 | valid |
Compiled 284 to 48 computations (83.1% saved)
ival-div: 80.0ms (34% of total)ival-mult: 72.0ms (30.6% of total)adjust: 28.0ms (11.9% of total)ival-log: 17.0ms (7.2% of total)ival-add: 14.0ms (6% of total)ival-pow: 14.0ms (6% of total)ival-sub: 5.0ms (2.1% of total)ival-exp: 3.0ms (1.3% of total)ival-neg: 1.0ms (0.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (-.f64 x (*.f64 y x)) x) (patch (/.f64 (-.f64 x (*.f64 y x)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)) (patch #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x) (patch (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x) #<representation binary64>) () ()) |
#s(alt (-.f64 x (*.f64 y x)) (patch (-.f64 x (*.f64 y x)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (pow (/ x (+ y x)) x) (-.f64 #s(literal 1 binary64) y)) x) (patch (/.f64 #s(approx (pow (/ x (+ y x)) x) (-.f64 #s(literal 1 binary64) y)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (pow (/ x (+ y x)) x) (-.f64 #s(literal 1 binary64) y)) (patch #s(approx (pow (/ x (+ y x)) x) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x))) (patch #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)) (patch #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x) (patch (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x)) (patch (/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x)) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) (neg.f64 y)) (patch (-.f64 #s(literal 1 binary64) (neg.f64 y)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x))) (patch #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (patch #s(approx (- 1 (* y y)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x) x)) y (/.f64 #s(literal 1 binary64) x))) (patch #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x) x)) y (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x) x)) y (/.f64 #s(literal 1 binary64) x)) (patch (fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x) x)) y (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x) x)) (patch #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (*.f64 x x)) (patch (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x) (patch (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x) x) (patch (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x) x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt 1 (taylor 0 y) (#s(alt (/.f64 (-.f64 x (*.f64 y x)) x) (patch (/.f64 (-.f64 x (*.f64 y x)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt (/.f64 (-.f64 x (*.f64 y x)) x) (patch (/.f64 (-.f64 x (*.f64 y x)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt (/.f64 (-.f64 x (*.f64 y x)) x) (patch (/.f64 (-.f64 x (*.f64 y x)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt (/.f64 (-.f64 x (*.f64 y x)) x) (patch (/.f64 (-.f64 x (*.f64 y x)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor 0 y) (#s(alt #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)) (patch #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ y x)) (/ 1 x)) (taylor 0 y) (#s(alt #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)) (patch #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x)) (taylor 0 y) (#s(alt #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)) (patch #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)) #<representation binary64>) () ())) ()) |
#s(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)) (taylor 0 y) (#s(alt #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)) (patch #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor 0 y) (#s(alt (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x) (patch (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ y x)) (/ 1 x)) (taylor 0 y) (#s(alt (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x) (patch (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ y x)) (/ 1 x)) (taylor 0 y) (#s(alt (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x) (patch (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ y x)) (/ 1 x)) (taylor 0 y) (#s(alt (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x) (patch (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (-.f64 x (*.f64 y x)) (patch (-.f64 x (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* x y))) (taylor 0 y) (#s(alt (-.f64 x (*.f64 y x)) (patch (-.f64 x (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* x y))) (taylor 0 y) (#s(alt (-.f64 x (*.f64 y x)) (patch (-.f64 x (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* x y))) (taylor 0 y) (#s(alt (-.f64 x (*.f64 y x)) (patch (-.f64 x (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor 0 y) (#s(alt (/.f64 #s(approx (pow (/ x (+ y x)) x) (-.f64 #s(literal 1 binary64) y)) x) (patch (/.f64 #s(approx (pow (/ x (+ y x)) x) (-.f64 #s(literal 1 binary64) y)) x) #<representation binary64>) () ())) ()) |
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 23.0ms | x | @ | 0 | ((/ (- x (* y x)) x) (/ (exp (* x (log (/ x (+ x y))))) x) (/ (/ (- x (* y x)) x) x) (- x (* y x)) (/ (pow (/ x (+ y x)) x) x) (pow (/ x (+ y x)) x) (- 1 y) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/ (+ (* (+ (* 1/2 y) -1) y) 1) x) (+ (* (+ (* 1/2 y) -1) y) 1) (/ (/ (- 1 (* y y)) (* x x)) (/ (- 1 (neg y)) x)) (- 1 (neg y)) (/ (exp (* x (log (/ x (+ x y))))) x) (- 1 (* y y)) (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (+ (* 1/2 y) -1) (/ (- 1 (* y y)) (* x x)) (/ (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) x) (/ (/ (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) x) x)) |
| 5.0ms | x | @ | -inf | ((/ (- x (* y x)) x) (/ (exp (* x (log (/ x (+ x y))))) x) (/ (/ (- x (* y x)) x) x) (- x (* y x)) (/ (pow (/ x (+ y x)) x) x) (pow (/ x (+ y x)) x) (- 1 y) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/ (+ (* (+ (* 1/2 y) -1) y) 1) x) (+ (* (+ (* 1/2 y) -1) y) 1) (/ (/ (- 1 (* y y)) (* x x)) (/ (- 1 (neg y)) x)) (- 1 (neg y)) (/ (exp (* x (log (/ x (+ x y))))) x) (- 1 (* y y)) (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (+ (* 1/2 y) -1) (/ (- 1 (* y y)) (* x x)) (/ (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) x) (/ (/ (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) x) x)) |
| 4.0ms | x | @ | inf | ((/ (- x (* y x)) x) (/ (exp (* x (log (/ x (+ x y))))) x) (/ (/ (- x (* y x)) x) x) (- x (* y x)) (/ (pow (/ x (+ y x)) x) x) (pow (/ x (+ y x)) x) (- 1 y) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/ (+ (* (+ (* 1/2 y) -1) y) 1) x) (+ (* (+ (* 1/2 y) -1) y) 1) (/ (/ (- 1 (* y y)) (* x x)) (/ (- 1 (neg y)) x)) (- 1 (neg y)) (/ (exp (* x (log (/ x (+ x y))))) x) (- 1 (* y y)) (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (+ (* 1/2 y) -1) (/ (- 1 (* y y)) (* x x)) (/ (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) x) (/ (/ (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) x) x)) |
| 3.0ms | y | @ | -inf | ((/ (- x (* y x)) x) (/ (exp (* x (log (/ x (+ x y))))) x) (/ (/ (- x (* y x)) x) x) (- x (* y x)) (/ (pow (/ x (+ y x)) x) x) (pow (/ x (+ y x)) x) (- 1 y) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/ (+ (* (+ (* 1/2 y) -1) y) 1) x) (+ (* (+ (* 1/2 y) -1) y) 1) (/ (/ (- 1 (* y y)) (* x x)) (/ (- 1 (neg y)) x)) (- 1 (neg y)) (/ (exp (* x (log (/ x (+ x y))))) x) (- 1 (* y y)) (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (+ (* 1/2 y) -1) (/ (- 1 (* y y)) (* x x)) (/ (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) x) (/ (/ (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) x) x)) |
| 3.0ms | y | @ | inf | ((/ (- x (* y x)) x) (/ (exp (* x (log (/ x (+ x y))))) x) (/ (/ (- x (* y x)) x) x) (- x (* y x)) (/ (pow (/ x (+ y x)) x) x) (pow (/ x (+ y x)) x) (- 1 y) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/ (+ (* (+ (* 1/2 y) -1) y) 1) x) (+ (* (+ (* 1/2 y) -1) y) 1) (/ (/ (- 1 (* y y)) (* x x)) (/ (- 1 (neg y)) x)) (- 1 (neg y)) (/ (exp (* x (log (/ x (+ x y))))) x) (- 1 (* y y)) (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) (/ (exp (* x (log (/ x (+ x y))))) x) (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (+ (* 1/2 y) -1) (/ (- 1 (* y y)) (* x x)) (/ (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) x) (/ (/ (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) x) x)) |
| 1× | egg-herbie |
| 11 834× | lower-fma.f64 |
| 11 834× | lower-fma.f32 |
| 5 280× | lower-*.f64 |
| 5 280× | lower-*.f32 |
| 5 048× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 472 | 9158 |
| 1 | 1431 | 8000 |
| 2 | 4799 | 7217 |
| 0 | 8449 | 6819 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
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x |
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1 |
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1 |
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y |
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(/ (+ (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) |
(/ (+ 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) |
(/ (- (* 1/2 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 (pow y 2)) (pow x 2)) |
(/ (- 1 (pow y 2)) (pow x 2)) |
(/ (- 1 (pow y 2)) (pow x 2)) |
(/ (- 1 (pow y 2)) (pow x 2)) |
(- (* 1/2 y) 1) |
(- (+ (* 1/2 y) (* 1/2 (/ y x))) 1) |
(- (+ (* 1/2 y) (* 1/2 (/ y x))) 1) |
(- (+ (* 1/2 y) (* 1/2 (/ y x))) 1) |
(/ (- (* 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 y)) |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(/ (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 (* -1 y)) x) |
(/ (+ 1 (* -1 y)) x) |
(/ (+ 1 (* -1 y)) x) |
(/ (+ 1 (* -1 y)) x) |
(* x (+ 1 (* -1 y))) |
(* x (+ 1 (* -1 y))) |
(* x (+ 1 (* -1 y))) |
(* x (+ 1 (* -1 y))) |
(/ (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)) |
(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))) |
(/ (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 (/ (- (* 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 (* y (- (* 1/2 y) 1))) x) |
(/ (+ 1 (* y (- (* 1/2 y) 1))) x) |
(/ (+ 1 (* y (- (* 1/2 y) 1))) x) |
(/ (+ 1 (* y (- (* 1/2 y) 1))) x) |
(/ (- 1 (pow y 2)) (* x (+ 1 y))) |
(/ (- 1 (pow y 2)) (* x (+ 1 y))) |
(/ (- 1 (pow y 2)) (* x (+ 1 y))) |
(/ (- 1 (pow y 2)) (* x (+ 1 y))) |
(/ (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)) |
(* x (- (* 1/2 y) 1)) |
(* -1 (* x (+ (* -1 (- (* 1/2 y) 1)) (* -1/2 (/ y x))))) |
(* -1 (* x (+ (* -1 (- (* 1/2 y) 1)) (* -1/2 (/ y x))))) |
(* -1 (* x (+ (* -1 (- (* 1/2 y) 1)) (* -1/2 (/ y 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 (/ (- (* 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 (/ (+ 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 (pow y 2)) (pow x 2)) |
(/ (- 1 (pow y 2)) (pow x 2)) |
(/ (- 1 (pow y 2)) (pow x 2)) |
(/ (- 1 (pow y 2)) (pow x 2)) |
(- (* 1/2 y) 1) |
(- (+ (* 1/2 y) (* 1/2 (/ y x))) 1) |
(- (+ (* 1/2 y) (* 1/2 (/ y x))) 1) |
(- (+ (* 1/2 y) (* 1/2 (/ y x))) 1) |
(/ (- (* 1/2 y) 1) x) |
(* -1 (/ (+ (* -1 (- (* 1/2 y) 1)) (* -1/2 (/ y x))) x)) |
(* -1 (/ (+ (* -1 (- (* 1/2 y) 1)) (* -1/2 (/ y x))) x)) |
(* -1 (/ (+ (* -1 (- (* 1/2 y) 1)) (* -1/2 (/ y x))) x)) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(/ 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 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 y x) y) (/.f64 #s(literal -1 binary64) x)) y (/.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 (fma.f64 (fma.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 (neg.f64 y) x) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x))) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(+ (* -1 (/ y x)) (/ 1 x)) |
(/.f64 (-.f64 #s(literal 1 binary64) 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) |
x |
(+ x (* -1 (* x y))) |
(*.f64 x (-.f64 #s(literal 1 binary64) y)) |
(+ x (* -1 (* x y))) |
(*.f64 x (-.f64 #s(literal 1 binary64) y)) |
(+ x (* -1 (* x y))) |
(*.f64 x (-.f64 #s(literal 1 binary64) y)) |
(/ 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 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 y x) y) (/.f64 #s(literal -1 binary64) x)) y (/.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 (fma.f64 (fma.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 (neg.f64 y) x) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x))) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) 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 (fma.f64 (+.f64 (/.f64 y x) y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y #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 (fma.f64 (fma.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(/ 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 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 y x) y) (/.f64 #s(literal -1 binary64) x)) y (/.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 (fma.f64 (fma.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 (neg.f64 y) x) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x))) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(+ (* -1 (/ y x)) (/ 1 x)) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x)) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 y x) y) (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)) |
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x)) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 y x) y) (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(+ (* -1 (/ y x)) (/ 1 x)) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(+ (* y (- (* 1/2 (/ y x)) (/ 1 x))) (/ 1 x)) |
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x) y (/.f64 #s(literal 1 binary64) x)) |
(+ (* y (- (* 1/2 (/ y x)) (/ 1 x))) (/ 1 x)) |
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x) y (/.f64 #s(literal 1 binary64) x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ 1 (* y (- (* 1/2 y) 1))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) |
(+ 1 (* y (- (* 1/2 y) 1))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) |
(/ 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 |
#s(literal 1 binary64) |
(+ 1 y) |
(+.f64 y #s(literal 1 binary64)) |
(+ 1 y) |
(+.f64 y #s(literal 1 binary64)) |
(+ 1 y) |
(+.f64 y #s(literal 1 binary64)) |
(/ 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 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 y x) y) (/.f64 #s(literal -1 binary64) x)) y (/.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 (fma.f64 (fma.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 (neg.f64 y) x) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x))) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (pow y 2))) |
(fma.f64 (neg.f64 y) y #s(literal 1 binary64)) |
(+ 1 (* -1 (pow y 2))) |
(fma.f64 (neg.f64 y) y #s(literal 1 binary64)) |
(+ 1 (* -1 (pow y 2))) |
(fma.f64 (neg.f64 y) y #s(literal 1 binary64)) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (* y (+ 1/2 (* 1/2 x)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y (neg.f64 x)) |
(+ (* -1 x) (* y (+ 1/2 (* 1/2 x)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y (neg.f64 x)) |
(+ (* -1 x) (* y (+ 1/2 (* 1/2 x)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y (neg.f64 x)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(+ (* -1 (/ y x)) (/ 1 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))) |
(-.f64 (exp.f64 (neg.f64 y)) (/.f64 (fma.f64 (*.f64 (exp.f64 (neg.f64 y)) (*.f64 y y)) #s(literal -1/2 binary64) (/.f64 (*.f64 (exp.f64 (neg.f64 y)) (-.f64 (/.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 6 binary64)) (*.f64 (*.f64 y y) (fma.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 1/12 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 y #s(literal 4 binary64)))))) x) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/8 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/3 binary64))))) x)) 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 (exp.f64 (neg.f64 y)) (fma.f64 (*.f64 y (/.f64 y x)) #s(literal -1/2 binary64) #s(literal -1 binary64))) (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 (/.f64 (*.f64 (exp.f64 (neg.f64 y)) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/8 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/3 binary64))) x))) x) (exp.f64 (neg.f64 y))) 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 (/.f64 (fma.f64 (*.f64 (exp.f64 (neg.f64 y)) (*.f64 y y)) #s(literal 1/2 binary64) (/.f64 (*.f64 (exp.f64 (neg.f64 y)) (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/8 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/3 binary64))) (/.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 6 binary64)) (*.f64 (*.f64 y y) (fma.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 1/12 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 y #s(literal 4 binary64)))))) x))) x)) x) (exp.f64 (neg.f64 y))) x) |
(* -1 (/ (- (* y (+ 1 (* -1/2 y))) 1) x)) |
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1 binary64)) y #s(literal -1 binary64)) (neg.f64 x)) |
(* -1 (/ (- (+ (* -1/2 (/ (pow y 2) x)) (* y (+ 1 (* -1/2 y)))) 1) x)) |
(/.f64 (fma.f64 (*.f64 y (/.f64 y x)) #s(literal -1/2 binary64) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1 binary64)) y #s(literal -1 binary64))) (neg.f64 x)) |
(* -1 (/ (- (+ (* -1/2 (/ (pow y 2) x)) (* y (+ 1 (* -1/2 y)))) 1) x)) |
(/.f64 (fma.f64 (*.f64 y (/.f64 y x)) #s(literal -1/2 binary64) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1 binary64)) y #s(literal -1 binary64))) (neg.f64 x)) |
(* -1 (/ (- (+ (* -1/2 (/ (pow y 2) x)) (* y (+ 1 (* -1/2 y)))) 1) x)) |
(/.f64 (fma.f64 (*.f64 y (/.f64 y x)) #s(literal -1/2 binary64) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1 binary64)) y #s(literal -1 binary64))) (neg.f64 x)) |
(/ (+ 1 (* y (- (* 1/2 y) 1))) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x) |
(/ (+ 1 (* y (- (* 1/2 y) 1))) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x) |
(/ (+ 1 (* y (- (* 1/2 y) 1))) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x) |
(/ (+ 1 (* y (- (* 1/2 y) 1))) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x) |
(/ (- 1 (pow y 2)) (* x (+ 1 y))) |
(/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (fma.f64 x y x)) |
(/ (- 1 (pow y 2)) (* x (+ 1 y))) |
(/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (fma.f64 x y x)) |
(/ (- 1 (pow y 2)) (* x (+ 1 y))) |
(/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (fma.f64 x y x)) |
(/ (- 1 (pow y 2)) (* x (+ 1 y))) |
(/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (fma.f64 x 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 (exp.f64 (neg.f64 y)) (fma.f64 (*.f64 y (/.f64 y x)) #s(literal -1/2 binary64) #s(literal -1 binary64))) (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 (/.f64 (*.f64 (exp.f64 (neg.f64 y)) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/8 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/3 binary64))) x))) x) (exp.f64 (neg.f64 y))) 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 (/.f64 (fma.f64 (*.f64 (exp.f64 (neg.f64 y)) (*.f64 y y)) #s(literal 1/2 binary64) (/.f64 (*.f64 (exp.f64 (neg.f64 y)) (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/8 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/3 binary64))) (/.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 6 binary64)) (*.f64 (*.f64 y y) (fma.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 1/12 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 y #s(literal 4 binary64)))))) x))) x)) x) (exp.f64 (neg.f64 y))) x) |
(* x (- (* 1/2 y) 1)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x) |
(* -1 (* x (+ (* -1 (- (* 1/2 y) 1)) (* -1/2 (/ y x))))) |
(*.f64 (fma.f64 (+.f64 (/.f64 y x) y) #s(literal 1/2 binary64) #s(literal -1 binary64)) x) |
(* -1 (* x (+ (* -1 (- (* 1/2 y) 1)) (* -1/2 (/ y x))))) |
(*.f64 (fma.f64 (+.f64 (/.f64 y x) y) #s(literal 1/2 binary64) #s(literal -1 binary64)) x) |
(* -1 (* x (+ (* -1 (- (* 1/2 y) 1)) (* -1/2 (/ y x))))) |
(*.f64 (fma.f64 (+.f64 (/.f64 y x) y) #s(literal 1/2 binary64) #s(literal -1 binary64)) 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 (exp.f64 (neg.f64 y)) (fma.f64 (*.f64 y (/.f64 y x)) #s(literal -1/2 binary64) #s(literal -1 binary64))) (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 (/.f64 (*.f64 (exp.f64 (neg.f64 y)) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/8 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/3 binary64))) x))) x) (exp.f64 (neg.f64 y))) 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 (/.f64 (fma.f64 (*.f64 (exp.f64 (neg.f64 y)) (*.f64 y y)) #s(literal 1/2 binary64) (/.f64 (*.f64 (exp.f64 (neg.f64 y)) (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/8 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/3 binary64))) (/.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 6 binary64)) (*.f64 (*.f64 y y) (fma.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 1/12 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 y #s(literal 4 binary64)))))) x))) x)) x) (exp.f64 (neg.f64 y))) x) |
(* -1 (/ (- (* y (+ 1 (* -1/2 y))) 1) x)) |
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1 binary64)) y #s(literal -1 binary64)) (neg.f64 x)) |
(* -1 (/ (- (+ (* -1/2 (/ (pow y 2) x)) (* y (+ 1 (* -1/2 y)))) 1) x)) |
(/.f64 (fma.f64 (*.f64 y (/.f64 y x)) #s(literal -1/2 binary64) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1 binary64)) y #s(literal -1 binary64))) (neg.f64 x)) |
(* -1 (/ (- (+ (* -1/2 (/ (pow y 2) x)) (* y (+ 1 (* -1/2 y)))) 1) x)) |
(/.f64 (fma.f64 (*.f64 y (/.f64 y x)) #s(literal -1/2 binary64) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1 binary64)) y #s(literal -1 binary64))) (neg.f64 x)) |
(* -1 (/ (- (+ (* -1/2 (/ (pow y 2) x)) (* y (+ 1 (* -1/2 y)))) 1) x)) |
(/.f64 (fma.f64 (*.f64 y (/.f64 y x)) #s(literal -1/2 binary64) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1 binary64)) y #s(literal -1 binary64))) (neg.f64 x)) |
(* -1 (/ (+ 1 (* -1/2 y)) x)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x) |
(* -1 (/ (+ 1 (+ (* -1/2 y) (* -1/2 (/ y x)))) x)) |
(/.f64 (fma.f64 (+.f64 (/.f64 y x) y) #s(literal 1/2 binary64) #s(literal -1 binary64)) x) |
(* -1 (/ (+ 1 (+ (* -1/2 y) (* -1/2 (/ y x)))) x)) |
(/.f64 (fma.f64 (+.f64 (/.f64 y x) y) #s(literal 1/2 binary64) #s(literal -1 binary64)) x) |
(* -1 (/ (+ 1 (+ (* -1/2 y) (* -1/2 (/ y x)))) x)) |
(/.f64 (fma.f64 (+.f64 (/.f64 y x) y) #s(literal 1/2 binary64) #s(literal -1 binary64)) x) |
(/ (- 1 (pow y 2)) (pow x 2)) |
(/.f64 (/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) x) x) |
(/ (- 1 (pow y 2)) (pow x 2)) |
(/.f64 (/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) x) x) |
(/ (- 1 (pow y 2)) (pow x 2)) |
(/.f64 (/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) x) x) |
(/ (- 1 (pow y 2)) (pow x 2)) |
(/.f64 (/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) x) x) |
(- (* 1/2 y) 1) |
(fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) |
(- (+ (* 1/2 y) (* 1/2 (/ y x))) 1) |
(fma.f64 (+.f64 (/.f64 y x) y) #s(literal 1/2 binary64) #s(literal -1 binary64)) |
(- (+ (* 1/2 y) (* 1/2 (/ y x))) 1) |
(fma.f64 (+.f64 (/.f64 y x) y) #s(literal 1/2 binary64) #s(literal -1 binary64)) |
(- (+ (* 1/2 y) (* 1/2 (/ y x))) 1) |
(fma.f64 (+.f64 (/.f64 y x) y) #s(literal 1/2 binary64) #s(literal -1 binary64)) |
(/ (- (* 1/2 y) 1) x) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x) |
(* -1 (/ (+ (* -1 (- (* 1/2 y) 1)) (* -1/2 (/ y x))) x)) |
(/.f64 (fma.f64 (+.f64 (/.f64 y x) y) #s(literal 1/2 binary64) #s(literal -1 binary64)) x) |
(* -1 (/ (+ (* -1 (- (* 1/2 y) 1)) (* -1/2 (/ y x))) x)) |
(/.f64 (fma.f64 (+.f64 (/.f64 y x) y) #s(literal 1/2 binary64) #s(literal -1 binary64)) x) |
(* -1 (/ (+ (* -1 (- (* 1/2 y) 1)) (* -1/2 (/ y x))) x)) |
(/.f64 (fma.f64 (+.f64 (/.f64 y x) y) #s(literal 1/2 binary64) #s(literal -1 binary64)) x) |
| 4 504× | lower-/.f32 |
| 4 486× | lower-/.f64 |
| 2 870× | lower-*.f32 |
| 2 864× | lower-*.f64 |
| 2 546× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 375 |
| 0 | 78 | 374 |
| 1 | 364 | 352 |
| 2 | 3147 | 344 |
| 0 | 8372 | 329 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 x (*.f64 y x)) x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)) |
(/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x) |
(-.f64 x (*.f64 y x)) |
(/.f64 #s(approx (pow (/ x (+ y x)) x) (-.f64 #s(literal 1 binary64) y)) x) |
#s(approx (pow (/ x (+ y x)) x) (-.f64 #s(literal 1 binary64) y)) |
(-.f64 #s(literal 1 binary64) y) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x))) |
#s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x)) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) |
(/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x)) |
(-.f64 #s(literal 1 binary64) (neg.f64 y)) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x))) |
#s(approx (- 1 (* y y)) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x) x)) y (/.f64 #s(literal 1 binary64) x))) |
(fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x) x)) y (/.f64 #s(literal 1 binary64) x)) |
#s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x) x)) |
(fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) |
(/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (*.f64 x x)) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x) |
(/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x) x) |
| Outputs |
|---|
#<batchref> |
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Compiled 28 200 to 3 888 computations (86.2% saved)
35 alts after pruning (30 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 387 | 19 | 1 406 |
| Fresh | 7 | 11 | 18 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 397 | 35 | 1 432 |
| Status | Accuracy | Program |
|---|---|---|
| 43.9% | (/.f64 (pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) x) x) | |
| ✓ | 85.6% | (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) |
| 60.1% | (/.f64 #s(approx (pow (/ x (+ y x)) x) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) | |
| ✓ | 60.3% | (/.f64 #s(approx (pow (/ x (+ y x)) x) (-.f64 #s(literal 1 binary64) y)) x) |
| ✓ | 74.2% | (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
| 44.0% | (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (pow.f64 #s(approx (/ (+ y x) x) (/.f64 y x)) x))) | |
| 62.3% | (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))) | |
| 65.7% | (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))) | |
| 62.3% | (/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (fma.f64 (fma.f64 (*.f64 (neg.f64 x) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) y (neg.f64 x)) y (neg.f64 x)))) | |
| 65.8% | (/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (fma.f64 (neg.f64 y) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) x) (neg.f64 x)))) | |
| 69.1% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) x) x)) y (/.f64 #s(literal 1 binary64) x))) | |
| 39.0% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (fma.f64 y x x) (*.f64 x x))) | |
| 47.8% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x x)) x) x) x)) | |
| 26.4% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (/.f64 (*.f64 (fma.f64 y x x) (fma.f64 y x x)) (*.f64 (*.f64 x x) (fma.f64 y x x))))) | |
| 41.8% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (/.f64 #s(approx (- 1 (neg y)) #s(literal 1 binary64)) x))) | |
| 39.3% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x x)) x) (*.f64 x x))) | |
| 12.1% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- x (* y x)) (*.f64 x (neg.f64 y))) x) x)) | |
| 38.9% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (*.f64 x x)) (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) y)) (*.f64 x x)) x))) | |
| 37.8% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (*.f64 x x)) (/.f64 (/.f64 (*.f64 (fma.f64 y x x) (fma.f64 y x x)) (*.f64 x (fma.f64 y x x))) x))) | |
| 51.2% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (*.f64 x x)) (/.f64 #s(approx (- 1 (neg y)) #s(literal 1 binary64)) x))) | |
| 66.1% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) x) x))) | |
| 46.0% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (*.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) (*.f64 x x))) | |
| 66.3% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (fma.f64 y x x))) | |
| 46.4% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (*.f64 (/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) x) (fma.f64 y x x)) x)) | |
| ✓ | 4.3% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x))) |
| 4.3% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (*.f64 y (/.f64 #s(literal -1 binary64) x)))) | |
| ✓ | 67.7% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x))) |
| 40.1% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (+.f64 x (*.f64 y (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y (neg.f64 x)))) (*.f64 x x)))) | |
| 5.5% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (*.f64 (*.f64 y (/.f64 y x)) #s(literal 1/2 binary64)) x))) | |
| 11.7% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) y) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y)) x))) | |
| 32.5% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) y) 1) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) y) y)) x))) | |
| 11.8% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) y) 1) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) | |
| 67.7% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)))))) | |
| 67.7% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x)))) | |
| 7.4% | #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) #s(approx (/ (+ (* (+ (* 1/2 y) -1) y) 1) x) (*.f64 (*.f64 y (/.f64 y x)) #s(literal 1/2 binary64))))) |
Compiled 1 330 to 645 computations (51.5% saved)
| Inputs |
|---|
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x) |
(/.f64 #s(approx (pow (/ x (+ y x)) x) (-.f64 #s(literal 1 binary64) y)) x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (*.f64 y (/.f64 #s(literal -1 binary64) x)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (fma.f64 y x x))) |
(/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (fma.f64 y x x)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) #s(approx (/ (+ (* (+ (* 1/2 y) -1) y) 1) x) (*.f64 (*.f64 y (/.f64 y x)) #s(literal 1/2 binary64))))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) y) 1) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) y) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y)) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 #s(literal -1 binary64) (/.f64 x y)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (fma.f64 y x x) (*.f64 x x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 x (*.f64 y x)) (*.f64 x x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- x (* y x)) (*.f64 x (neg.f64 y))) x) x)) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (*.f64 (*.f64 (/.f64 (/.f64 y x) x) #s(literal 1/2 binary64)) y))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (*.f64 (/.f64 (*.f64 y y) x) (/.f64 #s(literal 1/2 binary64) x)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (*.f64 (*.f64 y (/.f64 y x)) #s(literal 1/2 binary64)) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (*.f64 (/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) x) (fma.f64 y x x)) x)) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) #s(approx (/ (+ (* 1/2 y) -1) x) (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))) y (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)))))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) y (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (*.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) (*.f64 x x))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (+.f64 x (*.f64 y (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y (neg.f64 x)))) (*.f64 x x)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (*.f64 x x)) (/.f64 #s(approx (- 1 (neg y)) #s(literal 1 binary64)) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (*.f64 (*.f64 y y) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x x)) x) (*.f64 x x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) x) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x))) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 #s(approx (+ (/ (/ 1/2 x) x) (/ 1/2 x)) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (/.f64 #s(approx (- 1 (neg y)) #s(literal 1 binary64)) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x x)) x) x) x)) |
(/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (fma.f64 (neg.f64 y) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) x) (neg.f64 x)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) y) 1) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) y) y)) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 #s(literal 1/2 binary64) y) y)) x) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) x) x)) y (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x) x)) y (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (*.f64 x x)) (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) y)) (*.f64 x x)) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (*.f64 x x)) (/.f64 (/.f64 (*.f64 (fma.f64 y x x) (fma.f64 y x x)) (*.f64 x (fma.f64 y x x))) x))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (pow (/ x (+ y x)) x) (fma.f64 (fma.f64 (fma.f64 (neg.f64 y) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (pow (/ x (+ y x)) x) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (/.f64 (*.f64 (fma.f64 y x x) (fma.f64 y x x)) (*.f64 (*.f64 x x) (fma.f64 y x x))))) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (fma.f64 (fma.f64 (*.f64 (neg.f64 x) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) y (neg.f64 x)) y (neg.f64 x)))) |
(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) |
(/.f64 (pow.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) x) x) |
(/.f64 (pow.f64 (/.f64 x (+.f64 y x)) x) x) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (pow.f64 #s(approx (/ (+ y x) x) (/.f64 y x)) x))) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (pow.f64 (/.f64 (+.f64 y x) x) x))) |
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
| Outputs |
|---|
(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
(/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) |
3 calls:
| 22.0ms | (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
| 17.0ms | x |
| 15.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 3 | x |
| 87.8% | 2 | y |
| 94.5% | 3 | (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
Compiled 13 to 12 computations (7.7% saved)
| Inputs |
|---|
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x) |
(/.f64 #s(approx (pow (/ x (+ y x)) x) (-.f64 #s(literal 1 binary64) y)) x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (*.f64 y (/.f64 #s(literal -1 binary64) x)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (fma.f64 y x x))) |
(/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (fma.f64 y x x)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) #s(approx (/ (+ (* (+ (* 1/2 y) -1) y) 1) x) (*.f64 (*.f64 y (/.f64 y x)) #s(literal 1/2 binary64))))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) y) 1) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) y) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y)) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 #s(literal -1 binary64) (/.f64 x y)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (fma.f64 y x x) (*.f64 x x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 x (*.f64 y x)) (*.f64 x x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- x (* y x)) (*.f64 x (neg.f64 y))) x) x)) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (*.f64 (*.f64 (/.f64 (/.f64 y x) x) #s(literal 1/2 binary64)) y))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (*.f64 (/.f64 (*.f64 y y) x) (/.f64 #s(literal 1/2 binary64) x)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (*.f64 (*.f64 y (/.f64 y x)) #s(literal 1/2 binary64)) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (*.f64 (/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) x) (fma.f64 y x x)) x)) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) #s(approx (/ (+ (* 1/2 y) -1) x) (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))) y (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)))))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) y (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (*.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) (*.f64 x x))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (+.f64 x (*.f64 y (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y (neg.f64 x)))) (*.f64 x x)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (*.f64 x x)) (/.f64 #s(approx (- 1 (neg y)) #s(literal 1 binary64)) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (*.f64 (*.f64 y y) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x x)) x) (*.f64 x x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) x) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x))) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 #s(approx (+ (/ (/ 1/2 x) x) (/ 1/2 x)) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (/.f64 #s(approx (- 1 (neg y)) #s(literal 1 binary64)) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x x)) x) x) x)) |
(/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (fma.f64 (neg.f64 y) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) x) (neg.f64 x)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) y) 1) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) y) y)) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 #s(literal 1/2 binary64) y) y)) x) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) x) x)) y (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x) x)) y (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (*.f64 x x)) (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) y)) (*.f64 x x)) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (*.f64 x x)) (/.f64 (/.f64 (*.f64 (fma.f64 y x x) (fma.f64 y x x)) (*.f64 x (fma.f64 y x x))) x))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (pow (/ x (+ y x)) x) (fma.f64 (fma.f64 (fma.f64 (neg.f64 y) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (pow (/ x (+ y x)) x) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (/.f64 (*.f64 (fma.f64 y x x) (fma.f64 y x x)) (*.f64 (*.f64 x x) (fma.f64 y x x))))) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (fma.f64 (fma.f64 (*.f64 (neg.f64 x) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) y (neg.f64 x)) y (neg.f64 x)))) |
| Outputs |
|---|
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) x) x)) y (/.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))) |
3 calls:
| 15.0ms | x |
| 15.0ms | (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
| 13.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.4% | 3 | y |
| 84.6% | 4 | (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
| 87.1% | 3 | x |
Compiled 13 to 12 computations (7.7% saved)
| Inputs |
|---|
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x) |
(/.f64 #s(approx (pow (/ x (+ y x)) x) (-.f64 #s(literal 1 binary64) y)) x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (*.f64 y (/.f64 #s(literal -1 binary64) x)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (fma.f64 y x x))) |
(/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (fma.f64 y x x)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) #s(approx (/ (+ (* (+ (* 1/2 y) -1) y) 1) x) (*.f64 (*.f64 y (/.f64 y x)) #s(literal 1/2 binary64))))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) y) 1) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) y) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y)) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 #s(literal -1 binary64) (/.f64 x y)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (fma.f64 y x x) (*.f64 x x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 x (*.f64 y x)) (*.f64 x x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- x (* y x)) (*.f64 x (neg.f64 y))) x) x)) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (*.f64 (*.f64 (/.f64 (/.f64 y x) x) #s(literal 1/2 binary64)) y))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (*.f64 (/.f64 (*.f64 y y) x) (/.f64 #s(literal 1/2 binary64) x)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (*.f64 (*.f64 y (/.f64 y x)) #s(literal 1/2 binary64)) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (*.f64 (/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) x) (fma.f64 y x x)) x)) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) #s(approx (/ (+ (* 1/2 y) -1) x) (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))) y (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)))))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) y (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (*.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) (*.f64 x x))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (+.f64 x (*.f64 y (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y (neg.f64 x)))) (*.f64 x x)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (*.f64 x x)) (/.f64 #s(approx (- 1 (neg y)) #s(literal 1 binary64)) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (*.f64 (*.f64 y y) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x x)) x) (*.f64 x x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) x) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x))) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 #s(approx (+ (/ (/ 1/2 x) x) (/ 1/2 x)) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (/.f64 #s(approx (- 1 (neg y)) #s(literal 1 binary64)) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x x)) x) x) x)) |
(/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (fma.f64 (neg.f64 y) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) x) (neg.f64 x)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) y) 1) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) y) y)) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 #s(literal 1/2 binary64) y) y)) x) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) x) x)) y (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x (*.f64 #s(literal 1/2 binary64) y)) x) x)) y (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (*.f64 x x)) (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) y)) (*.f64 x x)) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (*.f64 x x)) (/.f64 (/.f64 (*.f64 (fma.f64 y x x) (fma.f64 y x x)) (*.f64 x (fma.f64 y x x))) x))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (pow (/ x (+ y x)) x) (fma.f64 (fma.f64 (fma.f64 (neg.f64 y) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
(/.f64 #s(approx (pow (/ x (+ y x)) x) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (/.f64 (*.f64 (fma.f64 y x x) (fma.f64 y x x)) (*.f64 (*.f64 x x) (fma.f64 y x x))))) |
| Outputs |
|---|
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) x) x)) y (/.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
(/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (fma.f64 (neg.f64 y) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) x) (neg.f64 x)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 #s(literal 1/2 binary64) y) y)) x) x))) |
1 calls:
| 13.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.6% | 4 | x |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x) |
(/.f64 #s(approx (pow (/ x (+ y x)) x) (-.f64 #s(literal 1 binary64) y)) x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (*.f64 y (/.f64 #s(literal -1 binary64) x)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (fma.f64 y x x))) |
(/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (fma.f64 y x x)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) #s(approx (/ (+ (* (+ (* 1/2 y) -1) y) 1) x) (*.f64 (*.f64 y (/.f64 y x)) #s(literal 1/2 binary64))))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) y) 1) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) y) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y)) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 #s(literal -1 binary64) (/.f64 x y)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (fma.f64 y x x) (*.f64 x x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 x (*.f64 y x)) (*.f64 x x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- x (* y x)) (*.f64 x (neg.f64 y))) x) x)) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (*.f64 (*.f64 (/.f64 (/.f64 y x) x) #s(literal 1/2 binary64)) y))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (*.f64 (/.f64 (*.f64 y y) x) (/.f64 #s(literal 1/2 binary64) x)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (*.f64 (*.f64 y (/.f64 y x)) #s(literal 1/2 binary64)) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (*.f64 (/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) x) (fma.f64 y x x)) x)) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) #s(approx (/ (+ (* 1/2 y) -1) x) (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))) y (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)))))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) y (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (*.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) (*.f64 x x))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (+.f64 x (*.f64 y (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y (neg.f64 x)))) (*.f64 x x)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (*.f64 x x)) (/.f64 #s(approx (- 1 (neg y)) #s(literal 1 binary64)) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (*.f64 (*.f64 y y) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x x)) x) (*.f64 x x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) x) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x))) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 #s(approx (+ (/ (/ 1/2 x) x) (/ 1/2 x)) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (/.f64 #s(approx (- 1 (neg y)) #s(literal 1 binary64)) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x x)) x) x) x)) |
(/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (fma.f64 (neg.f64 y) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) x) (neg.f64 x)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) y) 1) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) y) y)) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 #s(literal 1/2 binary64) y) y)) x) x))) |
| Outputs |
|---|
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x x)) x) (*.f64 x x))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
(/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (fma.f64 (neg.f64 y) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) x) (neg.f64 x)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 #s(literal 1/2 binary64) y) y)) x) x))) |
1 calls:
| 11.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.3% | 5 | x |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x) |
(/.f64 #s(approx (pow (/ x (+ y x)) x) (-.f64 #s(literal 1 binary64) y)) x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (*.f64 y (/.f64 #s(literal -1 binary64) x)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (fma.f64 y x x))) |
(/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (fma.f64 y x x)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) #s(approx (/ (+ (* (+ (* 1/2 y) -1) y) 1) x) (*.f64 (*.f64 y (/.f64 y x)) #s(literal 1/2 binary64))))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) y) 1) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) y) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y)) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 #s(literal -1 binary64) (/.f64 x y)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (fma.f64 y x x) (*.f64 x x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 x (*.f64 y x)) (*.f64 x x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- x (* y x)) (*.f64 x (neg.f64 y))) x) x)) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (*.f64 (*.f64 (/.f64 (/.f64 y x) x) #s(literal 1/2 binary64)) y))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (*.f64 (/.f64 (*.f64 y y) x) (/.f64 #s(literal 1/2 binary64) x)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (*.f64 (*.f64 y (/.f64 y x)) #s(literal 1/2 binary64)) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (*.f64 (/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) x) (fma.f64 y x x)) x)) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) #s(approx (/ (+ (* 1/2 y) -1) x) (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))) y (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)))))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) y (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (*.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) (*.f64 x x))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (+.f64 x (*.f64 y (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y (neg.f64 x)))) (*.f64 x x)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (*.f64 x x)) (/.f64 #s(approx (- 1 (neg y)) #s(literal 1 binary64)) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (*.f64 (*.f64 y y) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x x)) x) (*.f64 x x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) x) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x))) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 (fma.f64 #s(approx (+ (/ (/ 1/2 x) x) (/ 1/2 x)) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (/.f64 #s(approx (- 1 (neg y)) #s(literal 1 binary64)) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x x)) x) x) x)) |
(/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (fma.f64 (neg.f64 y) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) x) (neg.f64 x)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) y) 1) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) y) y)) x))) |
| Outputs |
|---|
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x x)) x) (*.f64 x x))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))) |
1 calls:
| 11.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.4% | 4 | x |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x) |
(/.f64 #s(approx (pow (/ x (+ y x)) x) (-.f64 #s(literal 1 binary64) y)) x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (*.f64 y (/.f64 #s(literal -1 binary64) x)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (fma.f64 y x x))) |
(/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (fma.f64 y x x)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) #s(approx (/ (+ (* (+ (* 1/2 y) -1) y) 1) x) (*.f64 (*.f64 y (/.f64 y x)) #s(literal 1/2 binary64))))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) y) 1) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) y) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y)) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 #s(literal -1 binary64) (/.f64 x y)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (fma.f64 y x x) (*.f64 x x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 x (*.f64 y x)) (*.f64 x x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- x (* y x)) (*.f64 x (neg.f64 y))) x) x)) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (*.f64 (*.f64 (/.f64 (/.f64 y x) x) #s(literal 1/2 binary64)) y))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (*.f64 (/.f64 (*.f64 y y) x) (/.f64 #s(literal 1/2 binary64) x)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (*.f64 (*.f64 y (/.f64 y x)) #s(literal 1/2 binary64)) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (*.f64 (/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) x) (fma.f64 y x x)) x)) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) #s(approx (/ (+ (* 1/2 y) -1) x) (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))) y (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)))))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) y (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (*.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) (*.f64 x x))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) y #s(literal -1 binary64)) y #s(literal 1 binary64))) x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (+.f64 x (*.f64 y (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) y (neg.f64 x)))) (*.f64 x x)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (*.f64 x x)) (/.f64 #s(approx (- 1 (neg y)) #s(literal 1 binary64)) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (*.f64 (*.f64 y y) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x x)) x) (*.f64 x x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) x) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) x))) |
| Outputs |
|---|
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (*.f64 (/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) x) (fma.f64 y x x)) x)) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)) |
3 calls:
| 12.0ms | x |
| 11.0ms | (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
| 9.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.7% | 4 | (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
| 81.6% | 3 | y |
| 84.5% | 4 | x |
Compiled 13 to 12 computations (7.7% saved)
| Inputs |
|---|
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x) |
(/.f64 #s(approx (pow (/ x (+ y x)) x) (-.f64 #s(literal 1 binary64) y)) x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (*.f64 y (/.f64 #s(literal -1 binary64) x)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (fma.f64 y x x))) |
(/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (fma.f64 y x x)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) #s(approx (/ (+ (* (+ (* 1/2 y) -1) y) 1) x) (*.f64 (*.f64 y (/.f64 y x)) #s(literal 1/2 binary64))))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) y) 1) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) y) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y)) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 #s(literal -1 binary64) (/.f64 x y)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (fma.f64 y x x) (*.f64 x x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 x (*.f64 y x)) (*.f64 x x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- x (* y x)) (*.f64 x (neg.f64 y))) x) x)) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (*.f64 (*.f64 (/.f64 (/.f64 y x) x) #s(literal 1/2 binary64)) y))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (*.f64 (/.f64 (*.f64 y y) x) (/.f64 #s(literal 1/2 binary64) x)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (*.f64 (*.f64 y (/.f64 y x)) #s(literal 1/2 binary64)) x))) |
| Outputs |
|---|
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (fma.f64 y x x))) |
1 calls:
| 6.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.6% | 3 | x |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x) |
(/.f64 #s(approx (pow (/ x (+ y x)) x) (-.f64 #s(literal 1 binary64) y)) x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (*.f64 y (/.f64 #s(literal -1 binary64) x)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (fma.f64 y x x))) |
(/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (fma.f64 y x x)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) #s(approx (/ (+ (* (+ (* 1/2 y) -1) y) 1) x) (*.f64 (*.f64 y (/.f64 y x)) #s(literal 1/2 binary64))))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) y) 1) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) y) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y)) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 #s(literal -1 binary64) (/.f64 x y)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (fma.f64 y x x) (*.f64 x x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 x (*.f64 y x)) (*.f64 x x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- x (* y x)) (*.f64 x (neg.f64 y))) x) x)) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x)))) |
| Outputs |
|---|
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x)))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (fma.f64 y x x))) |
1 calls:
| 8.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.3% | 3 | x |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x) |
(/.f64 #s(approx (pow (/ x (+ y x)) x) (-.f64 #s(literal 1 binary64) y)) x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (*.f64 y (/.f64 #s(literal -1 binary64) x)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (fma.f64 y x x))) |
(/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (fma.f64 y x x)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) #s(approx (/ (+ (* (+ (* 1/2 y) -1) y) 1) x) (*.f64 (*.f64 y (/.f64 y x)) #s(literal 1/2 binary64))))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) y) 1) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) y) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y)) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 #s(literal -1 binary64) (/.f64 x y)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (fma.f64 y x x) (*.f64 x x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (-.f64 x (*.f64 y x)) (*.f64 x x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 #s(approx (- x (* y x)) (*.f64 x (neg.f64 y))) x) x)) |
| Outputs |
|---|
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (fma.f64 y x x))) |
1 calls:
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.3% | 3 | x |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x) |
(/.f64 #s(approx (pow (/ x (+ y x)) x) (-.f64 #s(literal 1 binary64) y)) x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (*.f64 y (/.f64 #s(literal -1 binary64) x)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (fma.f64 y x x))) |
(/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (fma.f64 y x x)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) #s(approx (/ (+ (* (+ (* 1/2 y) -1) y) 1) x) (*.f64 (*.f64 y (/.f64 y x)) #s(literal 1/2 binary64))))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) y) 1) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) y) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y)) x))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 #s(literal -1 binary64) (/.f64 x y)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (fma.f64 y x x) (*.f64 x x))) |
| Outputs |
|---|
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) y) 1) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (fma.f64 y x x))) |
2 calls:
| 6.0ms | x |
| 4.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.8% | 3 | y |
| 80.7% | 3 | x |
Compiled 2 to 4 computations (-100% saved)
| Inputs |
|---|
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x) |
(/.f64 #s(approx (pow (/ x (+ y x)) x) (-.f64 #s(literal 1 binary64) y)) x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (*.f64 y (/.f64 #s(literal -1 binary64) x)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (fma.f64 y x x))) |
(/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (neg.f64 (fma.f64 y x x)))) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) #s(approx (/ (+ (* (+ (* 1/2 y) -1) y) 1) x) (*.f64 (*.f64 y (/.f64 y x)) #s(literal 1/2 binary64))))) |
| Outputs |
|---|
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (fma.f64 y x x))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (fma.f64 y x x))) |
2 calls:
| 3.0ms | y |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.7% | 3 | x |
| 77.6% | 2 | y |
Compiled 2 to 4 computations (-100% saved)
Total -44.8b remaining (-271.4%)
Threshold costs -44.8b (-271.4%)
| Inputs |
|---|
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (/.f64 (neg.f64 y) x))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) (-.f64 #s(literal 1 binary64) y)) x) |
(/.f64 #s(approx (pow (/ x (+ y x)) x) (-.f64 #s(literal 1 binary64) y)) x) |
#s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (- (/ 1 x) (/ y x)) (*.f64 y (/.f64 #s(literal -1 binary64) x)))) |
| Outputs |
|---|
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
3 calls:
| 4.0ms | x |
| 2.0ms | y |
| 2.0ms | (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.2% | 1 | y |
| 74.2% | 1 | (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
| 74.2% | 1 | x |
Compiled 13 to 12 computations (7.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 22.0ms | 3.157084708847396e-13 | 0.00045889937951975446 |
| 13.0ms | -1.5994613735641923e+22 | -1.3060100666131659e+22 |
| 13.0ms | 156× | 0 | valid |
| 7.0ms | 36× | 1 | valid |
| 6.0ms | 50× | 0 | invalid |
Compiled 134 to 169 computations (-26.1% saved)
ival-log: 6.0ms (37.8% of total)ival-div: 4.0ms (25.2% of total)ival-exp: 2.0ms (12.6% of total)ival-add: 2.0ms (12.6% of total)ival-mult: 2.0ms (12.6% of total)adjust: 1.0ms (6.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 3.157084708847396e-13 | 0.00045889937951975446 |
| 0.0ms | -1.5994613735641923e+22 | -1.3060100666131659e+22 |
Compiled 386 to 319 computations (17.4% saved)
| 3× | binary-search |
| 1× | predicate-same |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 1.4521064956498356e+155 | 7.463562134061246e+168 |
| 1.0ms | 3.157084708847396e-13 | 0.00045889937951975446 |
| 0.0ms | -1.5994613735641923e+22 | -1.3060100666131659e+22 |
| 15.0ms | 57× | 1 | valid |
| 1.0ms | 7× | 0 | valid |
| 0.0ms | 6× | 0 | invalid |
Compiled 430 to 385 computations (10.5% saved)
ival-log: 7.0ms (51.9% of total)ival-div: 2.0ms (14.8% of total)adjust: 2.0ms (14.8% of total)ival-add: 1.0ms (7.4% of total)ival-exp: 1.0ms (7.4% of total)ival-mult: 1.0ms (7.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 4× | binary-search |
| 1× | predicate-same |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.4521064956498356e+155 | 7.463562134061246e+168 |
| 1.0ms | 3.157084708847396e-13 | 0.00045889937951975446 |
| 44.0ms | -3.621025250445023e+53 | -1.1463118285312833e+48 |
| 37.0ms | -6.162388005038754e+151 | -3.8147080477726935e+148 |
| 61.0ms | 211× | 1 | valid |
| 5.0ms | 61× | 0 | valid |
| 3.0ms | 42× | 0 | invalid |
Compiled 774 to 658 computations (15% saved)
ival-log: 24.0ms (50.1% of total)ival-div: 8.0ms (16.7% of total)ival-add: 5.0ms (10.4% of total)ival-exp: 4.0ms (8.4% of total)adjust: 3.0ms (6.3% of total)ival-mult: 3.0ms (6.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 3.0ms | 3.157084708847396e-13 | 0.00045889937951975446 |
| 1.0ms | -3.621025250445023e+53 | -1.1463118285312833e+48 |
| 1.0ms | -6.162388005038754e+151 | -3.8147080477726935e+148 |
Compiled 613 to 529 computations (13.7% saved)
| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 46.0ms | 1.4521064956498356e+155 | 7.463562134061246e+168 |
| 1.0ms | 3.157084708847396e-13 | 0.00045889937951975446 |
| 0.0ms | -1.5994613735641923e+22 | -1.3060100666131659e+22 |
| 38.0ms | 130× | 1 | valid |
| 1.0ms | 20× | 0 | invalid |
| 1.0ms | 14× | 0 | valid |
Compiled 420 to 379 computations (9.8% saved)
ival-log: 14.0ms (43.7% of total)ival-div: 10.0ms (31.2% of total)adjust: 2.0ms (6.2% of total)ival-add: 2.0ms (6.2% of total)ival-exp: 2.0ms (6.2% of total)ival-mult: 2.0ms (6.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 3.157084708847396e-13 | 0.00045889937951975446 |
| 0.0ms | -1.5994613735641923e+22 | -1.3060100666131659e+22 |
Compiled 164 to 181 computations (-10.4% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 3.157084708847396e-13 | 0.00045889937951975446 |
| 0.0ms | -1.5994613735641923e+22 | -1.3060100666131659e+22 |
Compiled 176 to 196 computations (-11.4% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 3.157084708847396e-13 | 0.00045889937951975446 |
| 0.0ms | -1.5994613735641923e+22 | -1.3060100666131659e+22 |
Compiled 167 to 190 computations (-13.8% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 192.0ms | 5.184187253232773e+86 | 1.4823157849375884e+91 |
| 32.0ms | -1.966631309599554e+132 | -1.853652475028255e+129 |
| 168.0ms | 118× | 0 | valid |
| 33.0ms | 138× | 1 | valid |
| 10.0ms | 114× | 0 | invalid |
Compiled 222 to 253 computations (-14% saved)
ival-log: 17.0ms (44% of total)ival-div: 7.0ms (18.1% of total)ival-exp: 5.0ms (12.9% of total)ival-add: 3.0ms (7.8% of total)ival-mult: 3.0ms (7.8% of total)adjust: 2.0ms (5.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 3.157084708847396e-13 | 0.00045889937951975446 |
| 47.0ms | -2.4180434025609853e+187 | -4.987297332757138e+175 |
| 38.0ms | 144× | 1 | valid |
| 1.0ms | 16× | 0 | valid |
| 0.0ms | 6× | 0 | invalid |
Compiled 242 to 279 computations (-15.3% saved)
ival-log: 17.0ms (49.6% of total)ival-mult: 6.0ms (17.5% of total)ival-div: 5.0ms (14.6% of total)ival-add: 2.0ms (5.8% of total)adjust: 2.0ms (5.8% of total)ival-exp: 2.0ms (5.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
| 56× | *-commutative-binary64-*.f64 |
| 40× | +-commutative-binary64-+.f64 |
| 38× | sub-neg-binary64-neg.f64-+.f64--.f64 |
| 30× | neg-sub0-binary64--.f64-neg.f64 |
| 30× | neg-mul-1-binary64-*.f64-neg.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 152 | 1096 |
| 1 | 187 | 1096 |
| 2 | 230 | 1096 |
| 3 | 266 | 1096 |
| 4 | 285 | 1096 |
| 5 | 292 | 1096 |
| 6 | 293 | 1096 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 x #s(literal -13200000000000000000000 binary64)) (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (if (<=.f64 x #s(literal 4150517416584649/9223372036854775808 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x))) |
(if (<=.f64 x #s(literal -13200000000000000000000 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) x) x)) y (/.f64 #s(literal 1 binary64) x))) (if (<=.f64 x #s(literal 4150517416584649/9223372036854775808 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))))) |
(if (<=.f64 x #s(literal -13200000000000000000000 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) x) x)) y (/.f64 #s(literal 1 binary64) x))) (if (<=.f64 x #s(literal 4150517416584649/9223372036854775808 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (if (<=.f64 x #s(literal 100000000000000000178334994858791836514563642560301392710701527770129502847789953562046870799284296099876897036220978235643807646031628623453753183252563447406133248 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (fma.f64 (neg.f64 y) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) x) (neg.f64 x)))) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 #s(literal 1/2 binary64) y) y)) x) x)))))) |
(if (<=.f64 x #s(literal -31999999999999999386739077517995986898339840448970201378917273924931203590517714655241544595719076862806465928517632174098145034598668926343467952504832 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))) (if (<=.f64 x #s(literal -1150000000000000009857900294534286109934652227584 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x x)) x) (*.f64 x x))) (if (<=.f64 x #s(literal 4150517416584649/9223372036854775808 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (if (<=.f64 x #s(literal 100000000000000000178334994858791836514563642560301392710701527770129502847789953562046870799284296099876897036220978235643807646031628623453753183252563447406133248 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (fma.f64 (neg.f64 y) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) x) (neg.f64 x)))) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 #s(literal 1/2 binary64) y) y)) x) x))))))) |
(if (<=.f64 x #s(literal -31999999999999999386739077517995986898339840448970201378917273924931203590517714655241544595719076862806465928517632174098145034598668926343467952504832 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))) (if (<=.f64 x #s(literal -1150000000000000009857900294534286109934652227584 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x x)) x) (*.f64 x x))) (if (<=.f64 x #s(literal 4150517416584649/9223372036854775808 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))))))) |
(if (<=.f64 x #s(literal -13200000000000000000000 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)) (if (<=.f64 x #s(literal 4150517416584649/9223372036854775808 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (if (<=.f64 x #s(literal 11000000000000000579096624622099229724811856205164418514440927183130374970235005195884278819199667008947718465023338677185001436641974103902099051399828471808 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (*.f64 (/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) x) (fma.f64 y x x)) x)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x))))) |
(if (<=.f64 x #s(literal -13200000000000000000000 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)) (if (<=.f64 x #s(literal 4150517416584649/9223372036854775808 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (fma.f64 y x x))))) |
(if (<=.f64 x #s(literal -13200000000000000000000 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x)))) (if (<=.f64 x #s(literal 4150517416584649/9223372036854775808 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (fma.f64 y x x))))) |
(if (<=.f64 x #s(literal -13200000000000000000000 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x))) (if (<=.f64 x #s(literal 4150517416584649/9223372036854775808 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (fma.f64 y x x))))) |
(if (<=.f64 y #s(literal -1950000000000000005758860152441176826556311317552013861416823403988722846516895333139466784172082429069284146623817850797706245570560 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) y) 1) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) (if (<=.f64 y #s(literal 6999999999999999715917071194452539120443972627539160077688173068646927460656680978612224 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (fma.f64 y x x))))) |
(if (<=.f64 x #s(literal -1800000000000000013408164903733775804595590889449676970247356574362751734442069088474695777473032705135238084685012363310705780899057591729563024634009229906773770015248790585344 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (fma.f64 y x x))) (if (<=.f64 x #s(literal 4150517416584649/9223372036854775808 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (fma.f64 y x x))))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
| Outputs |
|---|
(if (<=.f64 x #s(literal -13200000000000000000000 binary64)) (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x) (if (<=.f64 x #s(literal 4150517416584649/9223372036854775808 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 (exp.f64 #s(approx (* x (log (/ x (+ x y)))) (neg.f64 y))) x))) |
(if (<=.f64 x #s(literal -13200000000000000000000 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) x) x)) y (/.f64 #s(literal 1 binary64) x))) (if (<=.f64 x #s(literal 4150517416584649/9223372036854775808 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) y #s(literal 1 binary64)) y #s(literal 1 binary64))))))) |
(if (<=.f64 x #s(literal -13200000000000000000000 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) x) x)) y (/.f64 #s(literal 1 binary64) x))) (if (<=.f64 x #s(literal 4150517416584649/9223372036854775808 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 (neg.f64 #s(literal -1 binary64)) (*.f64 #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) y #s(literal 1 binary64)) y #s(literal 1 binary64))) x)))) |
(if (<=.f64 x #s(literal -13200000000000000000000 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) (/.f64 (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) x) (* 1/2 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) x)) x) x)) y (/.f64 #s(literal 1 binary64) x))) (if (<=.f64 x #s(literal 4150517416584649/9223372036854775808 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (if (<=.f64 x #s(literal 100000000000000000178334994858791836514563642560301392710701527770129502847789953562046870799284296099876897036220978235643807646031628623453753183252563447406133248 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (fma.f64 (neg.f64 y) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) x) (neg.f64 x)))) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 #s(literal 1/2 binary64) y) y)) x) x)))))) |
(if (<=.f64 x #s(literal -31999999999999999386739077517995986898339840448970201378917273924931203590517714655241544595719076862806465928517632174098145034598668926343467952504832 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))) (if (<=.f64 x #s(literal -1150000000000000009857900294534286109934652227584 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x x)) x) (*.f64 x x))) (if (<=.f64 x #s(literal 4150517416584649/9223372036854775808 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (if (<=.f64 x #s(literal 100000000000000000178334994858791836514563642560301392710701527770129502847789953562046870799284296099876897036220978235643807646031628623453753183252563447406133248 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (fma.f64 (neg.f64 y) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) x) (neg.f64 x)))) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 #s(literal 1/2 binary64) y) y)) x) x))))))) |
(if (<=.f64 x #s(literal -31999999999999999386739077517995986898339840448970201378917273924931203590517714655241544595719076862806465928517632174098145034598668926343467952504832 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal 1 binary64))) (neg.f64 x))) (if (<=.f64 x #s(literal -1150000000000000009857900294534286109934652227584 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x x)) x) (*.f64 x x))) (if (<=.f64 x #s(literal 4150517416584649/9223372036854775808 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (if (<=.f64 x #s(literal 100000000000000000178334994858791836514563642560301392710701527770129502847789953562046870799284296099876897036220978235643807646031628623453753183252563447406133248 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (* (neg x) (pow (/ (+ y x) x) x)) (fma.f64 (neg.f64 y) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) x) (neg.f64 x)))) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x (*.f64 (*.f64 #s(literal 1/2 binary64) y) y)) x) x))))))) |
(if (<=.f64 x #s(literal -31999999999999999386739077517995986898339840448970201378917273924931203590517714655241544595719076862806465928517632174098145034598668926343467952504832 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal 1 binary64))))) (if (<=.f64 x #s(literal -1150000000000000009857900294534286109934652227584 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x x)) x) (*.f64 x x))) (if (<=.f64 x #s(literal 4150517416584649/9223372036854775808 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal 1 binary64)))))))) |
(if (<=.f64 x #s(literal -31999999999999999386739077517995986898339840448970201378917273924931203590517714655241544595719076862806465928517632174098145034598668926343467952504832 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal 1 binary64))) (neg.f64 x))) (if (<=.f64 x #s(literal -1150000000000000009857900294534286109934652227584 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x x)) x) (*.f64 x x))) (if (<=.f64 x #s(literal 4150517416584649/9223372036854775808 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (pow (/ (+ y x) x) x) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y #s(literal 1 binary64)) y #s(literal 1 binary64))) (neg.f64 x)))))) |
(if (<=.f64 x #s(literal -13200000000000000000000 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)) (if (<=.f64 x #s(literal 4150517416584649/9223372036854775808 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) (if (<=.f64 x #s(literal 11000000000000000579096624622099229724811856205164418514440927183130374970235005195884278819199667008947718465023338677185001436641974103902099051399828471808 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (*.f64 (/.f64 (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) x) (fma.f64 y x x)) x)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x))))) |
(if (<=.f64 x #s(literal -13200000000000000000000 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 (/.f64 (-.f64 x (*.f64 y x)) x) x)) (if (<=.f64 x #s(literal 4150517416584649/9223372036854775808 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (fma.f64 y x x))))) |
(if (<=.f64 x #s(literal -13200000000000000000000 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x)))) (if (<=.f64 x #s(literal 4150517416584649/9223372036854775808 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (fma.f64 y x x))))) |
(if (<=.f64 x #s(literal -13200000000000000000000 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (*.f64 (/.f64 #s(literal -1 binary64) (neg.f64 x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64))))) (if (<=.f64 x #s(literal 4150517416584649/9223372036854775808 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (fma.f64 y x x))))) |
(if (<=.f64 x #s(literal -13200000000000000000000 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) x))) (if (<=.f64 x #s(literal 4150517416584649/9223372036854775808 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (fma.f64 y x x))))) |
(if (<=.f64 y #s(literal -1950000000000000005758860152441176826556311317552013861416823403988722846516895333139466784172082429069284146623817850797706245570560 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 x) x) (/ 1/2 x)) y) (/ -1 x)) y) (/ 1 x)) (/.f64 #s(approx (+ (* (+ (* 1/2 y) -1) y) 1) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x))) (if (<=.f64 y #s(literal 6999999999999999715917071194452539120443972627539160077688173068646927460656680978612224 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (fma.f64 y x x))))) |
(if (<=.f64 x #s(literal -1800000000000000013408164903733775804595590889449676970247356574362751734442069088474695777473032705135238084685012363310705780899057591729563024634009229906773770015248790585344 binary64)) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (fma.f64 y x x))) (if (<=.f64 x #s(literal 4150517416584649/9223372036854775808 binary64)) (/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) #s(approx (/ (exp (* x (log (/ x (+ x y))))) x) (/.f64 #s(approx (- 1 (* y y)) #s(literal 1 binary64)) (fma.f64 y x x))))) |
(/.f64 #s(approx (exp (* x (log (/ x (+ x y))))) #s(literal 1 binary64)) x) |
| 11 834× | lower-fma.f64 |
| 11 834× | lower-fma.f32 |
| 10 856× | lower-fma.f64 |
| 10 856× | lower-fma.f32 |
| 9 370× | lower-fma.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 554 | 3184 |
| 1 | 1674 | 2659 |
| 2 | 5689 | 2574 |
| 0 | 8306 | 2445 |
| 0 | 32 | 197 |
| 0 | 51 | 185 |
| 1 | 213 | 185 |
| 2 | 1782 | 185 |
| 0 | 8335 | 181 |
| 0 | 803 | 9579 |
| 1 | 2601 | 8323 |
| 0 | 8267 | 7975 |
| 0 | 8 | 39 |
| 0 | 14 | 39 |
| 1 | 48 | 35 |
| 2 | 276 | 35 |
| 3 | 2526 | 35 |
| 0 | 8637 | 35 |
| 0 | 54 | 375 |
| 0 | 78 | 374 |
| 1 | 364 | 352 |
| 2 | 3147 | 344 |
| 0 | 8372 | 329 |
| 0 | 48 | 281 |
| 0 | 72 | 265 |
| 1 | 337 | 236 |
| 2 | 2995 | 234 |
| 0 | 9560 | 227 |
| 0 | 472 | 9158 |
| 1 | 1431 | 8000 |
| 2 | 4799 | 7217 |
| 0 | 8449 | 6819 |
| 0 | 563 | 9601 |
| 1 | 1717 | 8160 |
| 2 | 5764 | 7906 |
| 0 | 8453 | 7494 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 881 to 481 computations (45.4% saved)
Compiled 1 138 to 306 computations (73.1% saved)
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