
Time bar (total: 1.6s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 12.5% | 12.5% | 87.4% | 0.1% | 0% | 0% | 0% | 4 |
| 31.3% | 31.2% | 68.7% | 0.1% | 0% | 0% | 0% | 5 |
| 31.3% | 31.2% | 68.7% | 0.1% | 0% | 0% | 0% | 6 |
| 37.5% | 37.5% | 62.4% | 0.1% | 0% | 0% | 0% | 7 |
| 51.6% | 51.5% | 48.4% | 0.1% | 0% | 0% | 0% | 8 |
| 67.2% | 67.1% | 32.8% | 0.1% | 0% | 0% | 0% | 9 |
| 74.6% | 74.5% | 25.4% | 0.1% | 0% | 0% | 0% | 10 |
| 83.2% | 83.1% | 16.8% | 0.1% | 0% | 0% | 0% | 11 |
| 87% | 86.9% | 13% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 15 to 11 computations (26.7% saved)
| 380.0ms | 8 256× | 0 | valid |
ival-pow2: 190.0ms (83.7% of total)ival-sub!: 15.0ms (6.6% of total)ival-add!: 15.0ms (6.6% of total)ival-fmax: 6.0ms (2.6% of total)adjust: 2.0ms (0.9% of total)Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 88 |
| 1 | 58 | 84 |
| 2 | 115 | 84 |
| 3 | 262 | 84 |
| 4 | 389 | 84 |
| 5 | 925 | 84 |
| 6 | 5630 | 84 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (fmax.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) (fmax.f64 x y)) |
Compiled 22 to 20 computations (9.1% saved)
| Inputs |
|---|
(fmax.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) (fmax.f64 x y)) |
(-.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) |
(pow.f64 y #s(literal 2 binary64)) |
y |
#s(literal 2 binary64) |
(pow.f64 x #s(literal 2 binary64)) |
x |
#s(literal 1/2 binary64) |
(fmax.f64 x y) |
| Outputs |
|---|
#s(approx (fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) #s(hole binary64 (fmax (- (+ (pow x 2) (pow y 2)) 1/2) (fmax x y)))) |
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(hole binary64 (- (pow y 2) 1/2))) |
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(hole binary64 (- (+ (pow x 2) (pow y 2)) 1/2))) |
#s(approx (+ (pow y 2) (pow x 2)) #s(hole binary64 (pow y 2))) |
#s(approx (+ (pow y 2) (pow x 2)) #s(hole binary64 (+ (pow x 2) (pow y 2)))) |
#s(approx (pow x 2) #s(hole binary64 (pow x 2))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (fmax x y) #s(hole binary64 (fmax x y))) |
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(hole binary64 (pow x 2))) |
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(hole binary64 (* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (+ (pow y 2) (pow x 2)) #s(hole binary64 (pow x 2))) |
#s(approx (+ (pow y 2) (pow x 2)) #s(hole binary64 (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))))) |
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(hole binary64 (- (pow x 2) 1/2))) |
#s(approx (pow y 2) #s(hole binary64 (pow y 2))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(hole binary64 (pow y 2))) |
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(hole binary64 (* (pow y 2) (- (+ 1 (/ (pow x 2) (pow y 2))) (* 1/2 (/ 1 (pow y 2))))))) |
#s(approx (+ (pow y 2) (pow x 2)) #s(hole binary64 (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | ((fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (- (+ (pow y 2) (pow x 2)) 1/2) (+ (pow y 2) (pow x 2)) (pow y 2) y 2 (pow x 2) x 1/2 (fmax x y)) |
| 1.0ms | x | @ | -inf | ((fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (- (+ (pow y 2) (pow x 2)) 1/2) (+ (pow y 2) (pow x 2)) (pow y 2) y 2 (pow x 2) x 1/2 (fmax x y)) |
| 1.0ms | y | @ | inf | ((fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (- (+ (pow y 2) (pow x 2)) 1/2) (+ (pow y 2) (pow x 2)) (pow y 2) y 2 (pow x 2) x 1/2 (fmax x y)) |
| 1.0ms | y | @ | -inf | ((fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (- (+ (pow y 2) (pow x 2)) 1/2) (+ (pow y 2) (pow x 2)) (pow y 2) y 2 (pow x 2) x 1/2 (fmax x y)) |
| 1.0ms | x | @ | 0 | ((fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (- (+ (pow y 2) (pow x 2)) 1/2) (+ (pow y 2) (pow x 2)) (pow y 2) y 2 (pow x 2) x 1/2 (fmax x y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 312 |
| 0 | 61 | 308 |
| 1 | 264 | 300 |
| 0 | 2240 | 261 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(fmax.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) (fmax.f64 x y)) |
(-.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) |
(pow.f64 y #s(literal 2 binary64)) |
y |
#s(literal 2 binary64) |
(pow.f64 x #s(literal 2 binary64)) |
x |
#s(literal 1/2 binary64) |
(fmax.f64 x y) |
#s(approx (fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) #s(hole binary64 (fmax (- (+ (pow x 2) (pow y 2)) 1/2) (fmax x y)))) |
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(hole binary64 (- (pow y 2) 1/2))) |
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(hole binary64 (- (+ (pow x 2) (pow y 2)) 1/2))) |
#s(approx (+ (pow y 2) (pow x 2)) #s(hole binary64 (pow y 2))) |
#s(approx (+ (pow y 2) (pow x 2)) #s(hole binary64 (+ (pow x 2) (pow y 2)))) |
#s(approx (pow x 2) #s(hole binary64 (pow x 2))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (fmax x y) #s(hole binary64 (fmax x y))) |
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(hole binary64 (pow x 2))) |
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(hole binary64 (* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (+ (pow y 2) (pow x 2)) #s(hole binary64 (pow x 2))) |
#s(approx (+ (pow y 2) (pow x 2)) #s(hole binary64 (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))))) |
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(hole binary64 (- (pow x 2) 1/2))) |
#s(approx (pow y 2) #s(hole binary64 (pow y 2))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(hole binary64 (pow y 2))) |
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(hole binary64 (* (pow y 2) (- (+ 1 (/ (pow x 2) (pow y 2))) (* 1/2 (/ 1 (pow y 2))))))) |
#s(approx (+ (pow y 2) (pow x 2)) #s(hole binary64 (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))))) |
| Outputs |
|---|
(fmax.f64 (fma.f64 x x (fma.f64 y y #s(literal -1/2 binary64))) (fmax.f64 x y)) |
(*.f64 (fma.f64 (fma.f64 x x (*.f64 y y)) (fma.f64 x x (*.f64 y y)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (fma.f64 x x #s(literal 1/2 binary64))))) |
(*.f64 (-.f64 (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x (*.f64 y y)) (fma.f64 x x (*.f64 y y)) (fma.f64 (fma.f64 x x (*.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/4 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (fma.f64 y y #s(literal -1/2 binary64)) (fma.f64 y y #s(literal -1/2 binary64)))) (-.f64 (*.f64 x x) (fma.f64 y y #s(literal -1/2 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 (fma.f64 x x #s(literal -1/2 binary64)) (fma.f64 x x #s(literal -1/2 binary64)))) (-.f64 (*.f64 y y) (fma.f64 x x #s(literal -1/2 binary64)))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) (pow.f64 (fma.f64 y y #s(literal -1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x x) x) x (-.f64 (*.f64 (fma.f64 y y #s(literal -1/2 binary64)) (fma.f64 y y #s(literal -1/2 binary64))) (*.f64 (*.f64 x x) (fma.f64 y y #s(literal -1/2 binary64)))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y) (pow.f64 (fma.f64 x x #s(literal -1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 y y) y) y (-.f64 (*.f64 (fma.f64 x x #s(literal -1/2 binary64)) (fma.f64 x x #s(literal -1/2 binary64))) (*.f64 (*.f64 y y) (fma.f64 x x #s(literal -1/2 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (fma.f64 x x (*.f64 y y)) (fma.f64 x x (*.f64 y y)) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 y y (fma.f64 x x #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (fma.f64 x x (*.f64 y y)) (fma.f64 x x (*.f64 y y)) (fma.f64 (fma.f64 x x (*.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/4 binary64))))) |
(/.f64 (fma.f64 (fma.f64 x x (*.f64 y y)) (fma.f64 x x (*.f64 y y)) #s(literal -1/4 binary64)) (fma.f64 y y (fma.f64 x x #s(literal 1/2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (fma.f64 x x (*.f64 y y)) (fma.f64 x x (*.f64 y y)) (-.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 x x (*.f64 y y)) #s(literal -1/2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (fma.f64 x x (*.f64 y y)) (fma.f64 x x (*.f64 y y)) (fma.f64 (fma.f64 x x (*.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/4 binary64)))) |
(neg.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 x x (*.f64 y y)))) |
(fma.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 y #s(literal 1 binary64)) (fma.f64 x x #s(literal -1/2 binary64))) |
(fma.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)) (fma.f64 y y #s(literal -1/2 binary64))) |
(fma.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1 binary64) y) (fma.f64 x x #s(literal -1/2 binary64))) |
(fma.f64 (*.f64 #s(literal 1 binary64) y) y (fma.f64 x x #s(literal -1/2 binary64))) |
(fma.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x) (fma.f64 y y #s(literal -1/2 binary64))) |
(fma.f64 (*.f64 #s(literal 1 binary64) x) x (fma.f64 y y #s(literal -1/2 binary64))) |
(fma.f64 (neg.f64 x) (neg.f64 x) (fma.f64 y y #s(literal -1/2 binary64))) |
(fma.f64 (neg.f64 y) (neg.f64 y) (fma.f64 x x #s(literal -1/2 binary64))) |
(fma.f64 (fabs.f64 x) (fabs.f64 x) (fma.f64 y y #s(literal -1/2 binary64))) |
(fma.f64 (fabs.f64 y) (fabs.f64 y) (fma.f64 x x #s(literal -1/2 binary64))) |
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) (fma.f64 x x #s(literal -1/2 binary64))) |
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (fma.f64 y y #s(literal -1/2 binary64))) |
(fma.f64 (fma.f64 (*.f64 y y) (*.f64 y y) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1/2 binary64))) (*.f64 x x)) |
(fma.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1/2 binary64))) (*.f64 y y)) |
(fma.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 y x) (-.f64 y x))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) (-.f64 y x))) #s(literal -1/2 binary64)) |
(fma.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 x y))) #s(literal -1/2 binary64)) |
(fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 y y) y) y (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1/4 binary64)))) (*.f64 x x)) |
(fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x x) x) x (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1/4 binary64)))) (*.f64 y y)) |
(fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 y y) y) y (*.f64 (*.f64 x x) (*.f64 (+.f64 x y) (-.f64 x y))))) #s(literal -1/2 binary64)) |
(fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x x) x) x (*.f64 (*.f64 y y) (*.f64 (+.f64 y x) (-.f64 y x))))) #s(literal -1/2 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (fma.f64 y y #s(literal -1/2 binary64))) |
(fma.f64 #s(literal 1 binary64) (*.f64 y y) (fma.f64 x x #s(literal -1/2 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (fma.f64 y y #s(literal -1/2 binary64))) |
(fma.f64 (*.f64 y y) #s(literal 1 binary64) (fma.f64 x x #s(literal -1/2 binary64))) |
(fma.f64 x (*.f64 x #s(literal 1 binary64)) (fma.f64 y y #s(literal -1/2 binary64))) |
(fma.f64 x x (fma.f64 y y #s(literal -1/2 binary64))) |
(fma.f64 y (*.f64 y #s(literal 1 binary64)) (fma.f64 x x #s(literal -1/2 binary64))) |
(fma.f64 y y (fma.f64 x x #s(literal -1/2 binary64))) |
(-.f64 (/.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (fma.f64 x x (*.f64 y y))) (fma.f64 y y (fma.f64 x x #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/4 binary64) (fma.f64 y y (fma.f64 x x #s(literal 1/2 binary64))))) |
(-.f64 (/.f64 (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 3 binary64)) (fma.f64 (fma.f64 x x (*.f64 y y)) (fma.f64 x x (*.f64 y y)) (fma.f64 (fma.f64 x x (*.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1/8 binary64) (fma.f64 (fma.f64 x x (*.f64 y y)) (fma.f64 x x (*.f64 y y)) (fma.f64 (fma.f64 x x (*.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/4 binary64))))) |
(-.f64 (fma.f64 x x (*.f64 y y)) #s(literal 1/2 binary64)) |
(-.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 y y))) |
(-.f64 (*.f64 y y) (-.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
(+.f64 #s(literal -1/2 binary64) (fma.f64 x x (*.f64 y y))) |
(+.f64 (fma.f64 x x #s(literal -1/2 binary64)) (*.f64 y y)) |
(+.f64 (fma.f64 y y #s(literal -1/2 binary64)) (*.f64 x x)) |
(+.f64 (fma.f64 x x (*.f64 y y)) #s(literal -1/2 binary64)) |
(+.f64 (*.f64 x x) (fma.f64 y y #s(literal -1/2 binary64))) |
(+.f64 (*.f64 y y) (fma.f64 x x #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 y x) (-.f64 y x))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) (-.f64 y x)))) |
(*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 x y)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 y y) y) y (*.f64 (*.f64 x x) (*.f64 (+.f64 x y) (-.f64 x y)))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x x) x) x (*.f64 (*.f64 y y) (*.f64 (+.f64 y x) (-.f64 y x)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)))) (neg.f64 (fma.f64 (*.f64 (*.f64 y y) y) y (*.f64 (*.f64 x x) (*.f64 (+.f64 x y) (-.f64 x y)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)))) (neg.f64 (fma.f64 (*.f64 (*.f64 x x) x) x (*.f64 (*.f64 y y) (*.f64 (+.f64 y x) (-.f64 y x)))))) |
(/.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 y x) (-.f64 y x))) (*.f64 (+.f64 y x) (-.f64 y x))) |
(/.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (+.f64 x y) (-.f64 x y))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x))) (fma.f64 (*.f64 (*.f64 y y) y) y (*.f64 (*.f64 x x) (*.f64 (+.f64 x y) (-.f64 x y))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x))) (fma.f64 (*.f64 (*.f64 x x) x) x (*.f64 (*.f64 y y) (*.f64 (+.f64 y x) (-.f64 y x))))) |
(fma.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 y #s(literal 1 binary64)) (*.f64 x x)) |
(fma.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)) (*.f64 y y)) |
(fma.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1 binary64) y) (*.f64 x x)) |
(fma.f64 (*.f64 #s(literal 1 binary64) y) y (*.f64 x x)) |
(fma.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x) (*.f64 y y)) |
(fma.f64 (*.f64 #s(literal 1 binary64) x) x (*.f64 y y)) |
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 y y)) |
(fma.f64 (neg.f64 y) (neg.f64 y) (*.f64 x x)) |
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 y y)) |
(fma.f64 (fabs.f64 y) (fabs.f64 y) (*.f64 x x)) |
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) (*.f64 x x)) |
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 y y)) |
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 y y)) |
(fma.f64 #s(literal 1 binary64) (*.f64 y y) (*.f64 x x)) |
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 y y)) |
(fma.f64 (*.f64 y y) #s(literal 1 binary64) (*.f64 x x)) |
(fma.f64 x (*.f64 x #s(literal 1 binary64)) (*.f64 y y)) |
(fma.f64 x x (*.f64 y y)) |
(fma.f64 y (*.f64 y #s(literal 1 binary64)) (*.f64 x x)) |
(fma.f64 y y (*.f64 x x)) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 (+.f64 y x) (-.f64 y x))) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (+.f64 y x) (-.f64 y x)))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 (+.f64 x y) (-.f64 x y)))) |
(-.f64 (*.f64 x x) (*.f64 (neg.f64 y) y)) |
(-.f64 (*.f64 y y) (*.f64 (neg.f64 x) x)) |
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y)) (fma.f64 (*.f64 (*.f64 y y) y) y (*.f64 (*.f64 x x) (*.f64 (+.f64 x y) (-.f64 x y))))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) (fma.f64 (*.f64 (*.f64 y y) y) y (*.f64 (*.f64 x x) (*.f64 (+.f64 x y) (-.f64 x y)))))) |
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) (fma.f64 (*.f64 (*.f64 x x) x) x (*.f64 (*.f64 y y) (*.f64 (+.f64 y x) (-.f64 y x))))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y)) (fma.f64 (*.f64 (*.f64 x x) x) x (*.f64 (*.f64 y y) (*.f64 (+.f64 y x) (-.f64 y x)))))) |
(+.f64 (*.f64 x x) (*.f64 y y)) |
(+.f64 (*.f64 y y) (*.f64 x x)) |
(*.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 y #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1 binary64) y)) |
(*.f64 (*.f64 #s(literal 1 binary64) y) y) |
(*.f64 (neg.f64 y) (neg.f64 y)) |
(*.f64 (fabs.f64 y) (fabs.f64 y)) |
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y))) |
(*.f64 #s(literal 1 binary64) (*.f64 y y)) |
(*.f64 (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 y (*.f64 y #s(literal 1 binary64))) |
(*.f64 y y) |
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 y y) #s(literal 1 binary64)) |
(pow.f64 y #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) #s(literal 2 binary64)) |
(exp.f64 (fma.f64 (log.f64 y) #s(literal 2 binary64) #s(literal 0 binary64))) |
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 y) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))) |
y |
#s(literal 2 binary64) |
(*.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x)) |
(*.f64 (*.f64 #s(literal 1 binary64) x) x) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 (fabs.f64 x) (fabs.f64 x)) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(*.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 x (*.f64 x #s(literal 1 binary64))) |
(*.f64 x x) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) #s(literal 0 binary64))) |
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
x |
#s(literal 1/2 binary64) |
(fmax.f64 x y) |
#s(approx (fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (fmax.f64 (fma.f64 x x (fma.f64 y y #s(literal -1/2 binary64))) (fmax.f64 x y))) |
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (fma.f64 y y #s(literal -1/2 binary64))) |
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (fma.f64 x x (fma.f64 y y #s(literal -1/2 binary64)))) |
#s(approx (+ (pow y 2) (pow x 2)) (*.f64 y y)) |
#s(approx (+ (pow y 2) (pow x 2)) (fma.f64 x x (*.f64 y y))) |
#s(approx (pow x 2) (*.f64 x x)) |
#s(approx x x) |
#s(approx (fmax x y) (fmax.f64 x y)) |
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 x x)) |
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 y y #s(literal -1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) x) x)) |
#s(approx (+ (pow y 2) (pow x 2)) (*.f64 x x)) |
#s(approx (+ (pow y 2) (pow x 2)) (*.f64 (*.f64 (fma.f64 y (/.f64 y (*.f64 x x)) #s(literal 1 binary64)) x) x)) |
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (fma.f64 x x #s(literal -1/2 binary64))) |
#s(approx (pow y 2) (*.f64 y y)) |
#s(approx y y) |
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 y y)) |
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 x x #s(literal -1/2 binary64)) (*.f64 y y)) #s(literal 1 binary64)) y) y)) |
#s(approx (+ (pow y 2) (pow x 2)) (*.f64 (*.f64 (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal 1 binary64)) y) y)) |
Compiled 1 230 to 568 computations (53.8% saved)
4 alts after pruning (4 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 140 | 4 | 144 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 141 | 4 | 145 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (fmax.f64 (fma.f64 y y (fma.f64 x x #s(literal -1/2 binary64))) (fmax.f64 x y)) |
| ▶ | 67.7% | (fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (fma.f64 y y #s(literal -1/2 binary64))) (fmax.f64 x y)) |
| ▶ | 60.3% | (fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 y y)) (fmax.f64 x y)) |
| ▶ | 60.0% | (fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 x x)) (fmax.f64 x y)) |
Compiled 44 to 44 computations (0% saved)
| Inputs |
|---|
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 x x)) (fmax.f64 x y)) |
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 x x)) |
(*.f64 x x) |
x |
(fmax.f64 x y) |
y |
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 y y)) (fmax.f64 x y)) |
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 y y)) |
(*.f64 y y) |
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (fma.f64 y y #s(literal -1/2 binary64))) (fmax.f64 x y)) |
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (fma.f64 y y #s(literal -1/2 binary64))) |
(fma.f64 y y #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(fmax.f64 (fma.f64 y y (fma.f64 x x #s(literal -1/2 binary64))) (fmax.f64 x y)) |
(fma.f64 y y (fma.f64 x x #s(literal -1/2 binary64))) |
(fma.f64 x x #s(literal -1/2 binary64)) |
| Outputs |
|---|
#s(approx (fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) #s(hole binary64 (fmax (- (+ (pow x 2) (pow y 2)) 1/2) (fmax x y)))) |
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(hole binary64 (- (pow y 2) 1/2))) |
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(hole binary64 (- (+ (pow x 2) (pow y 2)) 1/2))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (fmax x y) #s(hole binary64 (fmax x y))) |
#s(approx (fmax (+ (* y y) (+ (* x x) -1/2)) (fmax x y)) #s(hole binary64 (fmax (- (+ (pow x 2) (pow y 2)) 1/2) (fmax x y)))) |
#s(approx (+ (* y y) (+ (* x x) -1/2)) #s(hole binary64 (- (pow y 2) 1/2))) |
#s(approx (+ (* y y) (+ (* x x) -1/2)) #s(hole binary64 (- (+ (pow x 2) (pow y 2)) 1/2))) |
#s(approx (+ (* x x) -1/2) #s(hole binary64 -1/2)) |
#s(approx (+ (* x x) -1/2) #s(hole binary64 (- (pow x 2) 1/2))) |
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(hole binary64 (pow x 2))) |
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(hole binary64 (* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (+ (* y y) (+ (* x x) -1/2)) #s(hole binary64 (pow x 2))) |
#s(approx (+ (* y y) (+ (* x x) -1/2)) #s(hole binary64 (* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (+ (* x x) -1/2) #s(hole binary64 (pow x 2))) |
#s(approx (+ (* x x) -1/2) #s(hole binary64 (* (pow x 2) (- 1 (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(hole binary64 (- (pow x 2) 1/2))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (* y y) #s(hole binary64 (pow y 2))) |
#s(approx (+ (* y y) -1/2) #s(hole binary64 -1/2)) |
#s(approx (+ (* y y) -1/2) #s(hole binary64 (- (pow y 2) 1/2))) |
#s(approx (+ (* y y) (+ (* x x) -1/2)) #s(hole binary64 (- (pow x 2) 1/2))) |
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(hole binary64 (pow y 2))) |
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(hole binary64 (* (pow y 2) (- (+ 1 (/ (pow x 2) (pow y 2))) (* 1/2 (/ 1 (pow y 2))))))) |
#s(approx (+ (* y y) -1/2) #s(hole binary64 (pow y 2))) |
#s(approx (+ (* y y) -1/2) #s(hole binary64 (* (pow y 2) (- 1 (* 1/2 (/ 1 (pow y 2))))))) |
#s(approx (+ (* y y) (+ (* x x) -1/2)) #s(hole binary64 (pow y 2))) |
#s(approx (+ (* y y) (+ (* x x) -1/2)) #s(hole binary64 (* (pow y 2) (- (+ 1 (/ (pow x 2) (pow y 2))) (* 1/2 (/ 1 (pow y 2))))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | ((fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (- (+ (pow y 2) (pow x 2)) 1/2) (* x x) x (fmax x y) y (fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (- (+ (pow y 2) (pow x 2)) 1/2) (* y y) (fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (- (+ (pow y 2) (pow x 2)) 1/2) (+ (* y y) -1/2) -1/2 (fmax (+ (* y y) (+ (* x x) -1/2)) (fmax x y)) (+ (* y y) (+ (* x x) -1/2)) (+ (* x x) -1/2)) |
| 1.0ms | y | @ | inf | ((fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (- (+ (pow y 2) (pow x 2)) 1/2) (* x x) x (fmax x y) y (fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (- (+ (pow y 2) (pow x 2)) 1/2) (* y y) (fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (- (+ (pow y 2) (pow x 2)) 1/2) (+ (* y y) -1/2) -1/2 (fmax (+ (* y y) (+ (* x x) -1/2)) (fmax x y)) (+ (* y y) (+ (* x x) -1/2)) (+ (* x x) -1/2)) |
| 1.0ms | y | @ | -inf | ((fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (- (+ (pow y 2) (pow x 2)) 1/2) (* x x) x (fmax x y) y (fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (- (+ (pow y 2) (pow x 2)) 1/2) (* y y) (fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (- (+ (pow y 2) (pow x 2)) 1/2) (+ (* y y) -1/2) -1/2 (fmax (+ (* y y) (+ (* x x) -1/2)) (fmax x y)) (+ (* y y) (+ (* x x) -1/2)) (+ (* x x) -1/2)) |
| 1.0ms | x | @ | -inf | ((fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (- (+ (pow y 2) (pow x 2)) 1/2) (* x x) x (fmax x y) y (fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (- (+ (pow y 2) (pow x 2)) 1/2) (* y y) (fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (- (+ (pow y 2) (pow x 2)) 1/2) (+ (* y y) -1/2) -1/2 (fmax (+ (* y y) (+ (* x x) -1/2)) (fmax x y)) (+ (* y y) (+ (* x x) -1/2)) (+ (* x x) -1/2)) |
| 1.0ms | x | @ | 0 | ((fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (- (+ (pow y 2) (pow x 2)) 1/2) (* x x) x (fmax x y) y (fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (- (+ (pow y 2) (pow x 2)) 1/2) (* y y) (fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (- (+ (pow y 2) (pow x 2)) 1/2) (+ (* y y) -1/2) -1/2 (fmax (+ (* y y) (+ (* x x) -1/2)) (fmax x y)) (+ (* y y) (+ (* x x) -1/2)) (+ (* x x) -1/2)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 81 | 553 |
| 0 | 94 | 499 |
| 1 | 353 | 479 |
| 0 | 3093 | 473 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 x x)) (fmax.f64 x y)) |
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 x x)) |
(*.f64 x x) |
x |
(fmax.f64 x y) |
y |
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 y y)) (fmax.f64 x y)) |
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 y y)) |
(*.f64 y y) |
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (fma.f64 y y #s(literal -1/2 binary64))) (fmax.f64 x y)) |
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (fma.f64 y y #s(literal -1/2 binary64))) |
(fma.f64 y y #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(fmax.f64 (fma.f64 y y (fma.f64 x x #s(literal -1/2 binary64))) (fmax.f64 x y)) |
(fma.f64 y y (fma.f64 x x #s(literal -1/2 binary64))) |
(fma.f64 x x #s(literal -1/2 binary64)) |
#s(approx (fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) #s(hole binary64 (fmax (- (+ (pow x 2) (pow y 2)) 1/2) (fmax x y)))) |
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(hole binary64 (- (pow y 2) 1/2))) |
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(hole binary64 (- (+ (pow x 2) (pow y 2)) 1/2))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (fmax x y) #s(hole binary64 (fmax x y))) |
#s(approx (fmax (+ (* y y) (+ (* x x) -1/2)) (fmax x y)) #s(hole binary64 (fmax (- (+ (pow x 2) (pow y 2)) 1/2) (fmax x y)))) |
#s(approx (+ (* y y) (+ (* x x) -1/2)) #s(hole binary64 (- (pow y 2) 1/2))) |
#s(approx (+ (* y y) (+ (* x x) -1/2)) #s(hole binary64 (- (+ (pow x 2) (pow y 2)) 1/2))) |
#s(approx (+ (* x x) -1/2) #s(hole binary64 -1/2)) |
#s(approx (+ (* x x) -1/2) #s(hole binary64 (- (pow x 2) 1/2))) |
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(hole binary64 (pow x 2))) |
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(hole binary64 (* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (+ (* y y) (+ (* x x) -1/2)) #s(hole binary64 (pow x 2))) |
#s(approx (+ (* y y) (+ (* x x) -1/2)) #s(hole binary64 (* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (+ (* x x) -1/2) #s(hole binary64 (pow x 2))) |
#s(approx (+ (* x x) -1/2) #s(hole binary64 (* (pow x 2) (- 1 (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(hole binary64 (- (pow x 2) 1/2))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (* y y) #s(hole binary64 (pow y 2))) |
#s(approx (+ (* y y) -1/2) #s(hole binary64 -1/2)) |
#s(approx (+ (* y y) -1/2) #s(hole binary64 (- (pow y 2) 1/2))) |
#s(approx (+ (* y y) (+ (* x x) -1/2)) #s(hole binary64 (- (pow x 2) 1/2))) |
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(hole binary64 (pow y 2))) |
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(hole binary64 (* (pow y 2) (- (+ 1 (/ (pow x 2) (pow y 2))) (* 1/2 (/ 1 (pow y 2))))))) |
#s(approx (+ (* y y) -1/2) #s(hole binary64 (pow y 2))) |
#s(approx (+ (* y y) -1/2) #s(hole binary64 (* (pow y 2) (- 1 (* 1/2 (/ 1 (pow y 2))))))) |
#s(approx (+ (* y y) (+ (* x x) -1/2)) #s(hole binary64 (pow y 2))) |
#s(approx (+ (* y y) (+ (* x x) -1/2)) #s(hole binary64 (* (pow y 2) (- (+ 1 (/ (pow x 2) (pow y 2))) (* 1/2 (/ 1 (pow y 2))))))) |
| Outputs |
|---|
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 x x)) (fmax.f64 x y)) |
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 x x)) |
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) |
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x))) |
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x))) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 (fabs.f64 x) (fabs.f64 x)) |
(*.f64 x x) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 x) x)) |
(fabs.f64 (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
x |
(fmax.f64 x y) |
y |
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 y y)) (fmax.f64 x y)) |
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 y y)) |
(*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y))) |
(*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y))) |
(*.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 y))) |
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y))) |
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(*.f64 y y) |
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 y) #s(literal 2 binary64)) |
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(pow.f64 (*.f64 y y) #s(literal 1 binary64)) |
(pow.f64 y #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 y) y)) |
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(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) |
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#s(literal -1/2 binary64) |
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(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) (fma.f64 x x #s(literal -1/2 binary64))) |
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(/.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 x x #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) #s(literal -1/8 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 x x) x) x (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1/4 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) #s(literal -1/8 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 x x) x) x (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))))) |
(/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1/4 binary64)) (fma.f64 x x #s(literal 1/2 binary64))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) #s(literal -1/8 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1/4 binary64)))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) #s(literal -1/8 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) |
(neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) #s(literal -1/2 binary64)) |
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) #s(literal -1/2 binary64)) |
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) #s(literal -1/2 binary64)) |
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) #s(literal -1/2 binary64)) |
(fma.f64 (neg.f64 x) (neg.f64 x) #s(literal -1/2 binary64)) |
(fma.f64 (fabs.f64 x) (fabs.f64 x) #s(literal -1/2 binary64)) |
(fma.f64 x x #s(literal -1/2 binary64)) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 x x #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1/2 binary64)))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) (fma.f64 (*.f64 (*.f64 x x) x) x (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1/8 binary64) (fma.f64 (*.f64 (*.f64 x x) x) x (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1/4 binary64))))) |
(-.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 x) x)) |
(-.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) (fma.f64 (*.f64 (*.f64 x x) x) x (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) (/.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 (*.f64 x x) x) x (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))))) |
(+.f64 #s(literal -1/2 binary64) (*.f64 x x)) |
(+.f64 (*.f64 x x) #s(literal -1/2 binary64)) |
#s(approx (fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (fmax.f64 (fma.f64 x x (fma.f64 y y #s(literal -1/2 binary64))) (fmax.f64 x y))) |
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (fma.f64 y y #s(literal -1/2 binary64))) |
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (fma.f64 x x (fma.f64 y y #s(literal -1/2 binary64)))) |
#s(approx (* x x) (*.f64 x x)) |
#s(approx x x) |
#s(approx (fmax x y) (fmax.f64 x y)) |
#s(approx (fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (fmax.f64 (fma.f64 x x (fma.f64 y y #s(literal -1/2 binary64))) (fmax.f64 x y))) |
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (fma.f64 y y #s(literal -1/2 binary64))) |
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (fma.f64 x x (fma.f64 y y #s(literal -1/2 binary64)))) |
#s(approx (+ (* x x) -1/2) #s(literal -1/2 binary64)) |
#s(approx (+ (* x x) -1/2) (fma.f64 x x #s(literal -1/2 binary64))) |
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 x x)) |
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 y y #s(literal -1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) x) x)) |
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 x x)) |
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 y y #s(literal -1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) x) x)) |
#s(approx (+ (* x x) -1/2) (*.f64 x x)) |
#s(approx (+ (* x x) -1/2) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x) x)) |
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (fma.f64 x x #s(literal -1/2 binary64))) |
#s(approx y y) |
#s(approx (* y y) (*.f64 y y)) |
#s(approx (+ (* y y) -1/2) #s(literal -1/2 binary64)) |
#s(approx (+ (* y y) -1/2) (fma.f64 y y #s(literal -1/2 binary64))) |
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (fma.f64 x x #s(literal -1/2 binary64))) |
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 y y)) |
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 x x #s(literal -1/2 binary64)) (*.f64 y y)) #s(literal 1 binary64)) y) y)) |
#s(approx (+ (* y y) -1/2) (*.f64 y y)) |
#s(approx (+ (* y y) -1/2) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) y) y)) |
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 y y)) |
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 x x #s(literal -1/2 binary64)) (*.f64 y y)) #s(literal 1 binary64)) y) y)) |
Compiled 1 456 to 614 computations (57.8% saved)
5 alts after pruning (2 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 161 | 2 | 163 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 3 | 4 |
| Done | 0 | 0 | 0 |
| Total | 162 | 5 | 167 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 91.3% | (fmax.f64 (fma.f64 y y #s(approx (+ (* x x) -1/2) (*.f64 x x))) (fmax.f64 x y)) |
| ✓ | 67.7% | (fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (fma.f64 y y #s(literal -1/2 binary64))) (fmax.f64 x y)) |
| ✓ | 60.3% | (fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 y y)) (fmax.f64 x y)) |
| ✓ | 60.0% | (fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 x x)) (fmax.f64 x y)) |
| ▶ | 27.9% | (fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(approx (+ (* y y) -1/2) #s(literal -1/2 binary64))) (fmax.f64 x y)) |
Compiled 63 to 63 computations (0% saved)
| Inputs |
|---|
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(approx (+ (* y y) -1/2) #s(literal -1/2 binary64))) (fmax.f64 x y)) |
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(approx (+ (* y y) -1/2) #s(literal -1/2 binary64))) |
#s(approx (+ (* y y) -1/2) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(fmax.f64 x y) |
x |
y |
(fmax.f64 (fma.f64 y y #s(approx (+ (* x x) -1/2) (*.f64 x x))) (fmax.f64 x y)) |
(fma.f64 y y #s(approx (+ (* x x) -1/2) (*.f64 x x))) |
#s(approx (+ (* x x) -1/2) (*.f64 x x)) |
(*.f64 x x) |
| Outputs |
|---|
#s(approx (fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) #s(hole binary64 (fmax (- (+ (pow x 2) (pow y 2)) 1/2) (fmax x y)))) |
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(hole binary64 (- (pow y 2) 1/2))) |
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(hole binary64 (- (+ (pow x 2) (pow y 2)) 1/2))) |
#s(approx (fmax x y) #s(hole binary64 (fmax x y))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (fmax (+ (* y y) (+ (* x x) -1/2)) (fmax x y)) #s(hole binary64 (fmax (- (+ (pow x 2) (pow y 2)) 1/2) (fmax x y)))) |
#s(approx (+ (* y y) (+ (* x x) -1/2)) #s(hole binary64 (- (pow y 2) 1/2))) |
#s(approx (+ (* y y) (+ (* x x) -1/2)) #s(hole binary64 (- (+ (pow x 2) (pow y 2)) 1/2))) |
#s(approx (+ (* x x) -1/2) #s(hole binary64 -1/2)) |
#s(approx (+ (* x x) -1/2) #s(hole binary64 (- (pow x 2) 1/2))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(hole binary64 (pow x 2))) |
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(hole binary64 (* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (+ (* y y) (+ (* x x) -1/2)) #s(hole binary64 (pow x 2))) |
#s(approx (+ (* y y) (+ (* x x) -1/2)) #s(hole binary64 (* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (+ (* x x) -1/2) #s(hole binary64 (pow x 2))) |
#s(approx (+ (* x x) -1/2) #s(hole binary64 (* (pow x 2) (- 1 (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(hole binary64 (- (pow x 2) 1/2))) |
#s(approx (+ (* y y) -1/2) #s(hole binary64 -1/2)) |
#s(approx (+ (* y y) -1/2) #s(hole binary64 (- (pow y 2) 1/2))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (+ (* y y) (+ (* x x) -1/2)) #s(hole binary64 (- (pow x 2) 1/2))) |
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(hole binary64 (pow y 2))) |
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(hole binary64 (* (pow y 2) (- (+ 1 (/ (pow x 2) (pow y 2))) (* 1/2 (/ 1 (pow y 2))))))) |
#s(approx (+ (* y y) -1/2) #s(hole binary64 (pow y 2))) |
#s(approx (+ (* y y) -1/2) #s(hole binary64 (* (pow y 2) (- 1 (* 1/2 (/ 1 (pow y 2))))))) |
#s(approx (+ (* y y) (+ (* x x) -1/2)) #s(hole binary64 (pow y 2))) |
#s(approx (+ (* y y) (+ (* x x) -1/2)) #s(hole binary64 (* (pow y 2) (- (+ 1 (/ (pow x 2) (pow y 2))) (* 1/2 (/ 1 (pow y 2))))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | ((fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (- (+ (pow y 2) (pow x 2)) 1/2) (+ (* y y) -1/2) -1/2 (fmax x y) x y (fmax (+ (* y y) (+ (* x x) -1/2)) (fmax x y)) (+ (* y y) (+ (* x x) -1/2)) (+ (* x x) -1/2) (* x x)) |
| 1.0ms | x | @ | -inf | ((fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (- (+ (pow y 2) (pow x 2)) 1/2) (+ (* y y) -1/2) -1/2 (fmax x y) x y (fmax (+ (* y y) (+ (* x x) -1/2)) (fmax x y)) (+ (* y y) (+ (* x x) -1/2)) (+ (* x x) -1/2) (* x x)) |
| 1.0ms | y | @ | -inf | ((fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (- (+ (pow y 2) (pow x 2)) 1/2) (+ (* y y) -1/2) -1/2 (fmax x y) x y (fmax (+ (* y y) (+ (* x x) -1/2)) (fmax x y)) (+ (* y y) (+ (* x x) -1/2)) (+ (* x x) -1/2) (* x x)) |
| 1.0ms | y | @ | inf | ((fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (- (+ (pow y 2) (pow x 2)) 1/2) (+ (* y y) -1/2) -1/2 (fmax x y) x y (fmax (+ (* y y) (+ (* x x) -1/2)) (fmax x y)) (+ (* y y) (+ (* x x) -1/2)) (+ (* x x) -1/2) (* x x)) |
| 1.0ms | x | @ | 0 | ((fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (- (+ (pow y 2) (pow x 2)) 1/2) (+ (* y y) -1/2) -1/2 (fmax x y) x y (fmax (+ (* y y) (+ (* x x) -1/2)) (fmax x y)) (+ (* y y) (+ (* x x) -1/2)) (+ (* x x) -1/2) (* x x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 74 | 531 |
| 0 | 80 | 519 |
| 1 | 351 | 503 |
| 0 | 3199 | 429 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(approx (+ (* y y) -1/2) #s(literal -1/2 binary64))) (fmax.f64 x y)) |
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(approx (+ (* y y) -1/2) #s(literal -1/2 binary64))) |
#s(approx (+ (* y y) -1/2) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(fmax.f64 x y) |
x |
y |
(fmax.f64 (fma.f64 y y #s(approx (+ (* x x) -1/2) (*.f64 x x))) (fmax.f64 x y)) |
(fma.f64 y y #s(approx (+ (* x x) -1/2) (*.f64 x x))) |
#s(approx (+ (* x x) -1/2) (*.f64 x x)) |
(*.f64 x x) |
#s(approx (fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) #s(hole binary64 (fmax (- (+ (pow x 2) (pow y 2)) 1/2) (fmax x y)))) |
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(hole binary64 (- (pow y 2) 1/2))) |
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(hole binary64 (- (+ (pow x 2) (pow y 2)) 1/2))) |
#s(approx (fmax x y) #s(hole binary64 (fmax x y))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (fmax (+ (* y y) (+ (* x x) -1/2)) (fmax x y)) #s(hole binary64 (fmax (- (+ (pow x 2) (pow y 2)) 1/2) (fmax x y)))) |
#s(approx (+ (* y y) (+ (* x x) -1/2)) #s(hole binary64 (- (pow y 2) 1/2))) |
#s(approx (+ (* y y) (+ (* x x) -1/2)) #s(hole binary64 (- (+ (pow x 2) (pow y 2)) 1/2))) |
#s(approx (+ (* x x) -1/2) #s(hole binary64 -1/2)) |
#s(approx (+ (* x x) -1/2) #s(hole binary64 (- (pow x 2) 1/2))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(hole binary64 (pow x 2))) |
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(hole binary64 (* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (+ (* y y) (+ (* x x) -1/2)) #s(hole binary64 (pow x 2))) |
#s(approx (+ (* y y) (+ (* x x) -1/2)) #s(hole binary64 (* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (+ (* x x) -1/2) #s(hole binary64 (pow x 2))) |
#s(approx (+ (* x x) -1/2) #s(hole binary64 (* (pow x 2) (- 1 (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(hole binary64 (- (pow x 2) 1/2))) |
#s(approx (+ (* y y) -1/2) #s(hole binary64 -1/2)) |
#s(approx (+ (* y y) -1/2) #s(hole binary64 (- (pow y 2) 1/2))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (+ (* y y) (+ (* x x) -1/2)) #s(hole binary64 (- (pow x 2) 1/2))) |
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(hole binary64 (pow y 2))) |
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(hole binary64 (* (pow y 2) (- (+ 1 (/ (pow x 2) (pow y 2))) (* 1/2 (/ 1 (pow y 2))))))) |
#s(approx (+ (* y y) -1/2) #s(hole binary64 (pow y 2))) |
#s(approx (+ (* y y) -1/2) #s(hole binary64 (* (pow y 2) (- 1 (* 1/2 (/ 1 (pow y 2))))))) |
#s(approx (+ (* y y) (+ (* x x) -1/2)) #s(hole binary64 (pow y 2))) |
#s(approx (+ (* y y) (+ (* x x) -1/2)) #s(hole binary64 (* (pow y 2) (- (+ 1 (/ (pow x 2) (pow y 2))) (* 1/2 (/ 1 (pow y 2))))))) |
| Outputs |
|---|
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(approx (+ (* y y) -1/2) #s(literal -1/2 binary64))) (fmax.f64 x y)) |
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(approx (+ (* y y) -1/2) #s(literal -1/2 binary64))) |
#s(approx (+ (* y y) -1/2) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(fmax.f64 x y) |
x |
y |
(fmax.f64 (fma.f64 y y #s(approx (+ (* x x) -1/2) (*.f64 x x))) (fmax.f64 x y)) |
(*.f64 (*.f64 (fma.f64 y y #s(approx (+ (* x x) -1/2) (*.f64 x x))) (-.f64 (*.f64 y y) #s(approx (+ (* x x) -1/2) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y y) #s(approx (+ (* x x) -1/2) (*.f64 x x))))) |
(*.f64 (fma.f64 (*.f64 #s(approx (+ (* x x) -1/2) (*.f64 x x)) #s(approx (+ (* x x) -1/2) (*.f64 x x))) #s(approx (+ (* x x) -1/2) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ (* x x) -1/2) (*.f64 x x)) (-.f64 #s(approx (+ (* x x) -1/2) (*.f64 x x)) (*.f64 y y)) (*.f64 (*.f64 (*.f64 y y) y) y)))) |
(/.f64 (-.f64 (*.f64 #s(approx (+ (* x x) -1/2) (*.f64 x x)) #s(approx (+ (* x x) -1/2) (*.f64 x x))) (*.f64 (*.f64 (*.f64 y y) y) y)) (-.f64 #s(approx (+ (* x x) -1/2) (*.f64 x x)) (*.f64 y y))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 y y #s(approx (+ (* x x) -1/2) (*.f64 x x))) (-.f64 (*.f64 y y) #s(approx (+ (* x x) -1/2) (*.f64 x x))))) (neg.f64 (-.f64 (*.f64 y y) #s(approx (+ (* x x) -1/2) (*.f64 x x))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(approx (+ (* x x) -1/2) (*.f64 x x)) #s(approx (+ (* x x) -1/2) (*.f64 x x))) #s(approx (+ (* x x) -1/2) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y)))) (neg.f64 (fma.f64 #s(approx (+ (* x x) -1/2) (*.f64 x x)) (-.f64 #s(approx (+ (* x x) -1/2) (*.f64 x x)) (*.f64 y y)) (*.f64 (*.f64 (*.f64 y y) y) y)))) |
(/.f64 (*.f64 (fma.f64 y y #s(approx (+ (* x x) -1/2) (*.f64 x x))) (-.f64 (*.f64 y y) #s(approx (+ (* x x) -1/2) (*.f64 x x)))) (-.f64 (*.f64 y y) #s(approx (+ (* x x) -1/2) (*.f64 x x)))) |
(/.f64 (fma.f64 (*.f64 #s(approx (+ (* x x) -1/2) (*.f64 x x)) #s(approx (+ (* x x) -1/2) (*.f64 x x))) #s(approx (+ (* x x) -1/2) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y))) (fma.f64 #s(approx (+ (* x x) -1/2) (*.f64 x x)) #s(approx (+ (* x x) -1/2) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 #s(approx (+ (* x x) -1/2) (*.f64 x x)) (*.f64 y y))))) |
(/.f64 (fma.f64 (*.f64 #s(approx (+ (* x x) -1/2) (*.f64 x x)) #s(approx (+ (* x x) -1/2) (*.f64 x x))) #s(approx (+ (* x x) -1/2) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y))) (fma.f64 #s(approx (+ (* x x) -1/2) (*.f64 x x)) (-.f64 #s(approx (+ (* x x) -1/2) (*.f64 x x)) (*.f64 y y)) (*.f64 (*.f64 (*.f64 y y) y) y))) |
(fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)) #s(approx (+ (* x x) -1/2) (*.f64 x x))) |
(fma.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)) #s(approx (+ (* x x) -1/2) (*.f64 x x))) |
(fma.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 y)) #s(approx (+ (* x x) -1/2) (*.f64 x x))) |
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) #s(approx (+ (* x x) -1/2) (*.f64 x x))) |
(fma.f64 (neg.f64 y) (neg.f64 y) #s(approx (+ (* x x) -1/2) (*.f64 x x))) |
(fma.f64 (fabs.f64 y) (fabs.f64 y) #s(approx (+ (* x x) -1/2) (*.f64 x x))) |
(fma.f64 y y #s(approx (+ (* x x) -1/2) (*.f64 x x))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (-.f64 (*.f64 y y) #s(approx (+ (* x x) -1/2) (*.f64 x x)))) (/.f64 (*.f64 #s(approx (+ (* x x) -1/2) (*.f64 x x)) #s(approx (+ (* x x) -1/2) (*.f64 x x))) (-.f64 (*.f64 y y) #s(approx (+ (* x x) -1/2) (*.f64 x x))))) |
(-.f64 #s(approx (+ (* x x) -1/2) (*.f64 x x)) (*.f64 (neg.f64 y) y)) |
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y)) (fma.f64 #s(approx (+ (* x x) -1/2) (*.f64 x x)) (-.f64 #s(approx (+ (* x x) -1/2) (*.f64 x x)) (*.f64 y y)) (*.f64 (*.f64 (*.f64 y y) y) y))) (/.f64 (*.f64 (*.f64 #s(approx (+ (* x x) -1/2) (*.f64 x x)) #s(approx (+ (* x x) -1/2) (*.f64 x x))) #s(approx (+ (* x x) -1/2) (*.f64 x x))) (fma.f64 #s(approx (+ (* x x) -1/2) (*.f64 x x)) (-.f64 #s(approx (+ (* x x) -1/2) (*.f64 x x)) (*.f64 y y)) (*.f64 (*.f64 (*.f64 y y) y) y)))) |
(+.f64 #s(approx (+ (* x x) -1/2) (*.f64 x x)) (*.f64 y y)) |
(+.f64 (*.f64 y y) #s(approx (+ (* x x) -1/2) (*.f64 x x))) |
#s(approx (+ (* x x) -1/2) (*.f64 x x)) |
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) |
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x))) |
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x))) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 (fabs.f64 x) (fabs.f64 x)) |
(*.f64 x x) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 x) x)) |
(fabs.f64 (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
#s(approx (fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (fmax.f64 (fma.f64 x x (fma.f64 y y #s(literal -1/2 binary64))) (fmax.f64 x y))) |
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (fma.f64 y y #s(literal -1/2 binary64))) |
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (fma.f64 x x (fma.f64 y y #s(literal -1/2 binary64)))) |
#s(approx (fmax x y) (fmax.f64 x y)) |
#s(approx x x) |
#s(approx (fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (fmax.f64 (fma.f64 x x (fma.f64 y y #s(literal -1/2 binary64))) (fmax.f64 x y))) |
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (fma.f64 y y #s(literal -1/2 binary64))) |
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (fma.f64 x x (fma.f64 y y #s(literal -1/2 binary64)))) |
#s(approx (+ (* x x) -1/2) #s(literal -1/2 binary64)) |
#s(approx (+ (* x x) -1/2) (fma.f64 x x #s(literal -1/2 binary64))) |
#s(approx (* x x) (*.f64 x x)) |
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 x x)) |
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 y y #s(literal -1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) x) x)) |
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 x x)) |
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 y y #s(literal -1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) x) x)) |
#s(approx (+ (* x x) -1/2) (*.f64 x x)) |
#s(approx (+ (* x x) -1/2) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x) x)) |
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (fma.f64 x x #s(literal -1/2 binary64))) |
#s(approx (+ (* y y) -1/2) #s(literal -1/2 binary64)) |
#s(approx (+ (* y y) -1/2) (fma.f64 y y #s(literal -1/2 binary64))) |
#s(approx y y) |
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (fma.f64 x x #s(literal -1/2 binary64))) |
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 y y)) |
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 x x #s(literal -1/2 binary64)) (*.f64 y y)) #s(literal 1 binary64)) y) y)) |
#s(approx (+ (* y y) -1/2) (*.f64 y y)) |
#s(approx (+ (* y y) -1/2) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) y) y)) |
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 y y)) |
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 x x #s(literal -1/2 binary64)) (*.f64 y y)) #s(literal 1 binary64)) y) y)) |
Compiled 635 to 233 computations (63.3% saved)
5 alts after pruning (0 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 52 | 0 | 52 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 0 | 3 | 3 |
| Total | 52 | 5 | 57 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 91.3% | (fmax.f64 (fma.f64 y y #s(approx (+ (* x x) -1/2) (*.f64 x x))) (fmax.f64 x y)) |
| ✓ | 67.7% | (fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (fma.f64 y y #s(literal -1/2 binary64))) (fmax.f64 x y)) |
| ✓ | 60.3% | (fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 y y)) (fmax.f64 x y)) |
| ✓ | 60.0% | (fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 x x)) (fmax.f64 x y)) |
| ✓ | 27.9% | (fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(approx (+ (* y y) -1/2) #s(literal -1/2 binary64))) (fmax.f64 x y)) |
Compiled 113 to 103 computations (8.8% saved)
| Inputs |
|---|
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(approx (+ (* y y) -1/2) #s(literal -1/2 binary64))) (fmax.f64 x y)) |
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 x x)) (fmax.f64 x y)) |
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 y y)) (fmax.f64 x y)) |
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (fma.f64 y y #s(literal -1/2 binary64))) (fmax.f64 x y)) |
(fmax.f64 (fma.f64 y y #s(approx (+ (* x x) -1/2) (*.f64 x x))) (fmax.f64 x y)) |
(fmax.f64 (fma.f64 y y (fma.f64 x x #s(literal -1/2 binary64))) (fmax.f64 x y)) |
(fmax.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) (fmax.f64 x y)) |
| Outputs |
|---|
(fmax.f64 (fma.f64 y y (fma.f64 x x #s(literal -1/2 binary64))) (fmax.f64 x y)) |
3 calls:
| 3.0ms | x |
| 3.0ms | y |
| 3.0ms | (fmax.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) (fmax.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | (fmax.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) (fmax.f64 x y)) |
| 100.0% | 1 | x |
| 100.0% | 1 | y |
Compiled 13 to 14 computations (-7.7% saved)
| Inputs |
|---|
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(approx (+ (* y y) -1/2) #s(literal -1/2 binary64))) (fmax.f64 x y)) |
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 x x)) (fmax.f64 x y)) |
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 y y)) (fmax.f64 x y)) |
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (fma.f64 y y #s(literal -1/2 binary64))) (fmax.f64 x y)) |
(fmax.f64 (fma.f64 y y #s(approx (+ (* x x) -1/2) (*.f64 x x))) (fmax.f64 x y)) |
| Outputs |
|---|
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (fma.f64 y y #s(literal -1/2 binary64))) (fmax.f64 x y)) |
(fmax.f64 (fma.f64 y y #s(approx (+ (* x x) -1/2) (*.f64 x x))) (fmax.f64 x y)) |
3 calls:
| 6.0ms | (fmax.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) (fmax.f64 x y)) |
| 2.0ms | x |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 2 | (fmax.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) (fmax.f64 x y)) |
| 100.0% | 3 | x |
| 91.3% | 1 | y |
Compiled 13 to 14 computations (-7.7% saved)
| Inputs |
|---|
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(approx (+ (* y y) -1/2) #s(literal -1/2 binary64))) (fmax.f64 x y)) |
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 x x)) (fmax.f64 x y)) |
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 y y)) (fmax.f64 x y)) |
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (fma.f64 y y #s(literal -1/2 binary64))) (fmax.f64 x y)) |
| Outputs |
|---|
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 x x)) (fmax.f64 x y)) |
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (fma.f64 y y #s(literal -1/2 binary64))) (fmax.f64 x y)) |
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 x x)) (fmax.f64 x y)) |
2 calls:
| 2.0ms | (fmax.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) (fmax.f64 x y)) |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.9% | 3 | x |
| 71.4% | 3 | (fmax.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) (fmax.f64 x y)) |
Compiled 12 to 12 computations (0% saved)
| Inputs |
|---|
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(approx (+ (* y y) -1/2) #s(literal -1/2 binary64))) (fmax.f64 x y)) |
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 x x)) (fmax.f64 x y)) |
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 y y)) (fmax.f64 x y)) |
| Outputs |
|---|
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 x x)) (fmax.f64 x y)) |
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 y y)) (fmax.f64 x y)) |
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 x x)) (fmax.f64 x y)) |
2 calls:
| 2.0ms | x |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.4% | 3 | y |
| 87.4% | 3 | x |
Compiled 2 to 4 computations (-100% saved)
| Inputs |
|---|
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(approx (+ (* y y) -1/2) #s(literal -1/2 binary64))) (fmax.f64 x y)) |
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 x x)) (fmax.f64 x y)) |
| Outputs |
|---|
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(approx (+ (* y y) -1/2) #s(literal -1/2 binary64))) (fmax.f64 x y)) |
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 x x)) (fmax.f64 x y)) |
3 calls:
| 1.0ms | (fmax.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) (fmax.f64 x y)) |
| 1.0ms | y |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.7% | 2 | (fmax.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) (fmax.f64 x y)) |
| 60.0% | 1 | y |
| 67.7% | 3 | x |
Compiled 13 to 14 computations (-7.7% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(approx (+ (* y y) -1/2) #s(literal -1/2 binary64))) (fmax.f64 x y)) |
| Outputs |
|---|
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(approx (+ (* y y) -1/2) #s(literal -1/2 binary64))) (fmax.f64 x y)) |
3 calls:
| 3.0ms | y |
| 1.0ms | (fmax.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) (fmax.f64 x y)) |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 27.9% | 1 | y |
| 27.9% | 1 | x |
| 27.9% | 1 | (fmax.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) (fmax.f64 x y)) |
Compiled 13 to 14 computations (-7.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 28316.628171886194 | 3.887962896428967e+26 |
Compiled 14 to 15 computations (-7.1% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 60301197198.44425 | 19717917984485.5 |
| 14.0ms | -9.219794246872556e+34 | -5.6014144304733126e+29 |
| 17.0ms | 272× | 0 | valid |
Compiled 441 to 473 computations (-7.3% saved)
ival-pow2: 7.0ms (62.7% of total)ival-fmax: 2.0ms (17.9% of total)ival-sub!: 1.0ms (9% of total)ival-add!: 1.0ms (9% of total)adjust: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 60301197198.44425 | 19717917984485.5 |
| 16.0ms | -9.20783141277139e+43 | -1.3195134544955278e+41 |
| 11.0ms | 128× | 0 | valid |
Compiled 400 to 430 computations (-7.5% saved)
ival-pow2: 2.0ms (49% of total)ival-fmax: 1.0ms (24.5% of total)ival-sub!: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-add!: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.095283609829965e-11 | 3.946295356986137e-10 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | done |
Compiled 68 to 56 computations (17.6% saved)
Compiled 79 to 66 computations (16.5% saved)
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