
Time bar (total: 1.4s)
| 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 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 2 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 3 |
| 66.7% | 50% | 25% | 0.1% | 0% | 25% | 0% | 4 |
| 66.7% | 50% | 25% | 0.1% | 0% | 25% | 0% | 5 |
| 80% | 50% | 12.5% | 0.1% | 0% | 37.5% | 0% | 6 |
| 80% | 50% | 12.5% | 0.1% | 0% | 37.5% | 0% | 7 |
| 88.9% | 50% | 6.2% | 0.1% | 0% | 43.7% | 0% | 8 |
| 88.9% | 50% | 6.2% | 0.1% | 0% | 43.7% | 0% | 9 |
| 94.1% | 50% | 3.1% | 0.1% | 0% | 46.8% | 0% | 10 |
| 94.1% | 50% | 3.1% | 0.1% | 0% | 46.8% | 0% | 11 |
| 97% | 50% | 1.6% | 0.1% | 0% | 48.4% | 0% | 12 |
Compiled 10 to 9 computations (10% saved)
| 450.0ms | 8 254× | 0 | valid |
| 17.0ms | 248× | 0 | invalid |
| 0.0ms | 1× | 2 | valid |
| 0.0ms | 1× | 1 | valid |
ival-sqrt: 81.0ms (46.4% of total)ival-mult!: 43.0ms (24.7% of total)ival-sub!: 30.0ms (17.2% of total)ival-add!: 18.0ms (10.3% of total)adjust: 2.0ms (1.1% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
| 0 | 0 | - | 0 | - | (sqrt.f64 x) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) x) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 y (sqrt.f64 x)) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 34.0ms | 512× | 0 | valid |
Compiled 52 to 25 computations (51.9% saved)
ival-sqrt: 6.0ms (47.9% of total)ival-mult!: 3.0ms (23.9% of total)ival-sub!: 2.0ms (16% of total)ival-add!: 1.0ms (8% of total)adjust: 0.0ms (0% of total)Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 54 |
| 1 | 55 | 54 |
| 2 | 112 | 54 |
| 3 | 196 | 51 |
| 4 | 415 | 50 |
| 5 | 1189 | 50 |
| 6 | 3067 | 50 |
| 7 | 6969 | 50 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
Compiled 16 to 14 computations (12.5% saved)
| Inputs |
|---|
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(*.f64 y (sqrt.f64 x)) |
y |
(sqrt.f64 x) |
| Outputs |
|---|
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (+ 1 (* (sqrt x) y)))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (+ 1 (+ (* -1 x) (* (sqrt x) y))))) |
#s(approx (- 1 x) #s(hole binary64 1)) |
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x)))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* y (sqrt x)) #s(hole binary64 (* (sqrt x) y))) |
#s(approx (sqrt x) #s(hole binary64 (sqrt x))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) y) 1)))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)))) |
#s(approx (- 1 x) #s(hole binary64 (* -1 x))) |
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1)))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))))) |
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x)))))) |
#s(approx (* y (sqrt x)) #s(hole binary64 (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))))) |
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (- 1 x))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (- (+ 1 (* (sqrt x) y)) x))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* (sqrt x) y))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* y (- (+ (sqrt x) (/ 1 y)) (/ x y))))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | ((+ (- 1 x) (* y (sqrt x))) (- 1 x) 1 x (* y (sqrt x)) y (sqrt x)) |
| 1.0ms | y | @ | -inf | ((+ (- 1 x) (* y (sqrt x))) (- 1 x) 1 x (* y (sqrt x)) y (sqrt x)) |
| 1.0ms | x | @ | inf | ((+ (- 1 x) (* y (sqrt x))) (- 1 x) 1 x (* y (sqrt x)) y (sqrt x)) |
| 1.0ms | x | @ | 0 | ((+ (- 1 x) (* y (sqrt x))) (- 1 x) 1 x (* y (sqrt x)) y (sqrt x)) |
| 1.0ms | y | @ | inf | ((+ (- 1 x) (* y (sqrt x))) (- 1 x) 1 x (* y (sqrt x)) y (sqrt x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 80 | 333 |
| 0 | 84 | 307 |
| 0 | 392 | 289 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | unsound |
| 1× | iter-limit |
| Inputs |
|---|
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(*.f64 y (sqrt.f64 x)) |
y |
(sqrt.f64 x) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (+ 1 (* (sqrt x) y)))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (+ 1 (+ (* -1 x) (* (sqrt x) y))))) |
#s(approx (- 1 x) #s(hole binary64 1)) |
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x)))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* y (sqrt x)) #s(hole binary64 (* (sqrt x) y))) |
#s(approx (sqrt x) #s(hole binary64 (sqrt x))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) y) 1)))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)))) |
#s(approx (- 1 x) #s(hole binary64 (* -1 x))) |
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1)))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))))) |
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x)))))) |
#s(approx (* y (sqrt x)) #s(hole binary64 (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))))) |
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (- 1 x))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (- (+ 1 (* (sqrt x) y)) x))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* (sqrt x) y))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* y (- (+ (sqrt x) (/ 1 y)) (/ x y))))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))))) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (sqrt.f64 x) y) (*.f64 (sqrt.f64 x) y))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))) |
(/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 (*.f64 (sqrt.f64 x) y) (*.f64 (sqrt.f64 x) y)) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))))) |
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) |
(-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 y) (sqrt.f64 x))) |
(-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (sqrt.f64 x) y))) |
(+.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x)) |
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) x)))) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(*.f64 (sqrt.f64 x) y) |
(*.f64 y (sqrt.f64 x)) |
y |
(pow.f64 x #s(literal 1/2 binary64)) |
(sqrt.f64 x) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (+.f64 (fma.f64 (sqrt.f64 x) y (neg.f64 x)) #s(literal 1 binary64))) |
#s(approx (- 1 x) #s(literal 1 binary64)) |
#s(approx (- 1 x) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) |
#s(approx x x) |
#s(approx (* y (sqrt x)) (*.f64 (sqrt.f64 x) y)) |
#s(approx (sqrt x) (sqrt.f64 x)) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y) #s(literal 1 binary64)) x)) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) x)) |
#s(approx (- 1 x) (neg.f64 x)) |
#s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (neg.f64 x) (-.f64 (fma.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))))) |
#s(approx (- 1 x) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))))) |
#s(approx (* y (sqrt x)) (neg.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1 binary64)))) |
#s(approx (sqrt x) (neg.f64 (neg.f64 (sqrt.f64 x)))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)) |
#s(approx y y) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (sqrt.f64 x) y)) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) y)) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))) y))) |
Compiled 511 to 124 computations (75.7% saved)
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 29 | 6 | 35 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 30 | 6 | 36 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
| ▶ | 69.8% | #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) |
| ▶ | 60.6% | #s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) |
| 93.8% | #s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) x)) | |
| ▶ | 63.8% | #s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y) #s(literal 1 binary64)) x)) |
| ▶ | 41.6% | #s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (sqrt.f64 x) y)) |
Compiled 174 to 134 computations (23% saved)
| Inputs |
|---|
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
(sqrt.f64 x) |
x |
y |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (sqrt.f64 x) y)) |
(*.f64 (sqrt.f64 x) y) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y) #s(literal 1 binary64)) x)) |
(*.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y) #s(literal 1 binary64)) x) |
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
| Outputs |
|---|
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (+ 1 (* (sqrt x) y)))) |
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (+ 1 (+ (* -1 x) (* (sqrt x) y))))) |
#s(approx (sqrt x) #s(hole binary64 (sqrt x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (- 1 x) #s(hole binary64 1)) |
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x)))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (+ 1 (* (sqrt x) y)))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (+ 1 (+ (* -1 x) (* (sqrt x) y))))) |
#s(approx (* (sqrt x) y) #s(hole binary64 (* (sqrt x) y))) |
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (+ 1 (* (sqrt x) y)))) |
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) #s(hole binary64 (* (sqrt x) y))) |
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) #s(hole binary64 (+ (* -1 x) (* (sqrt x) y)))) |
#s(approx (- (* (/ 1 (sqrt x)) y) 1) #s(hole binary64 (* (sqrt (/ 1 x)) y))) |
#s(approx (- (* (/ 1 (sqrt x)) y) 1) #s(hole binary64 (/ (+ (* -1 x) (* (sqrt x) y)) x))) |
#s(approx (* (/ 1 (sqrt x)) y) #s(hole binary64 (* (sqrt (/ 1 x)) y))) |
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (sqrt (/ 1 x)))) |
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) y) 1)))) |
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)))) |
#s(approx (- 1 x) #s(hole binary64 (* -1 x))) |
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1)))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) y) 1)))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)))) |
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* (sqrt x) y))) |
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x))))) |
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) y) 1)))) |
#s(approx (- (* (/ 1 (sqrt x)) y) 1) #s(hole binary64 (- (* (sqrt (/ 1 x)) y) 1))) |
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) |
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))))) |
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x)))))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))))) |
#s(approx (* (sqrt x) y) #s(hole binary64 (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))))) |
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))))) |
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x)))))) |
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (- 1 x))) |
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (- (+ 1 (* (sqrt x) y)) x))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (- 1 x))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (- (+ 1 (* (sqrt x) y)) x))) |
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 1)) |
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) #s(hole binary64 (* -1 x))) |
#s(approx (- (* (/ 1 (sqrt x)) y) 1) #s(hole binary64 -1)) |
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* (sqrt x) y))) |
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* y (- (+ (sqrt x) (/ 1 y)) (/ x y))))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* (sqrt x) y))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* y (- (+ (sqrt x) (/ 1 y)) (/ x y))))) |
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* y (+ (sqrt x) (/ 1 y))))) |
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) #s(hole binary64 (* y (+ (sqrt x) (* -1 (/ x y)))))) |
#s(approx (- (* (/ 1 (sqrt x)) y) 1) #s(hole binary64 (* y (- (sqrt (/ 1 x)) (/ 1 y))))) |
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))))) |
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* -1 (* y (- (* -1 (sqrt x)) (/ 1 y)))))) |
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (/ x y)))))) |
#s(approx (- (* (/ 1 (sqrt x)) y) 1) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y)))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | ((+ (* (sqrt x) y) (- 1 x)) (sqrt x) x y (- 1 x) 1 (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (* (sqrt x) y) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (+ (- 1 x) (* y (sqrt x))) (* (- (* (/ 1 (sqrt x)) y) 1) x) (- (* (/ 1 (sqrt x)) y) 1) (* (/ 1 (sqrt x)) y) (/ 1 (sqrt x))) |
| 3.0ms | y | @ | -inf | ((+ (* (sqrt x) y) (- 1 x)) (sqrt x) x y (- 1 x) 1 (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (* (sqrt x) y) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (+ (- 1 x) (* y (sqrt x))) (* (- (* (/ 1 (sqrt x)) y) 1) x) (- (* (/ 1 (sqrt x)) y) 1) (* (/ 1 (sqrt x)) y) (/ 1 (sqrt x))) |
| 3.0ms | y | @ | inf | ((+ (* (sqrt x) y) (- 1 x)) (sqrt x) x y (- 1 x) 1 (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (* (sqrt x) y) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (+ (- 1 x) (* y (sqrt x))) (* (- (* (/ 1 (sqrt x)) y) 1) x) (- (* (/ 1 (sqrt x)) y) 1) (* (/ 1 (sqrt x)) y) (/ 1 (sqrt x))) |
| 2.0ms | x | @ | 0 | ((+ (* (sqrt x) y) (- 1 x)) (sqrt x) x y (- 1 x) 1 (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (* (sqrt x) y) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (+ (- 1 x) (* y (sqrt x))) (* (- (* (/ 1 (sqrt x)) y) 1) x) (- (* (/ 1 (sqrt x)) y) 1) (* (/ 1 (sqrt x)) y) (/ 1 (sqrt x))) |
| 1.0ms | y | @ | 0 | ((+ (* (sqrt x) y) (- 1 x)) (sqrt x) x y (- 1 x) 1 (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (* (sqrt x) y) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (+ (- 1 x) (* y (sqrt x))) (* (- (* (/ 1 (sqrt x)) y) 1) x) (- (* (/ 1 (sqrt x)) y) 1) (* (/ 1 (sqrt x)) y) (/ 1 (sqrt x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 149 | 991 |
| 0 | 163 | 913 |
| 0 | 631 | 902 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | unsound |
| 1× | iter-limit |
| Inputs |
|---|
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
(sqrt.f64 x) |
x |
y |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (sqrt.f64 x) y)) |
(*.f64 (sqrt.f64 x) y) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y) #s(literal 1 binary64)) x)) |
(*.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y) #s(literal 1 binary64)) x) |
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (+ 1 (* (sqrt x) y)))) |
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (+ 1 (+ (* -1 x) (* (sqrt x) y))))) |
#s(approx (sqrt x) #s(hole binary64 (sqrt x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (- 1 x) #s(hole binary64 1)) |
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x)))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (+ 1 (* (sqrt x) y)))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (+ 1 (+ (* -1 x) (* (sqrt x) y))))) |
#s(approx (* (sqrt x) y) #s(hole binary64 (* (sqrt x) y))) |
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (+ 1 (* (sqrt x) y)))) |
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) #s(hole binary64 (* (sqrt x) y))) |
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) #s(hole binary64 (+ (* -1 x) (* (sqrt x) y)))) |
#s(approx (- (* (/ 1 (sqrt x)) y) 1) #s(hole binary64 (* (sqrt (/ 1 x)) y))) |
#s(approx (- (* (/ 1 (sqrt x)) y) 1) #s(hole binary64 (/ (+ (* -1 x) (* (sqrt x) y)) x))) |
#s(approx (* (/ 1 (sqrt x)) y) #s(hole binary64 (* (sqrt (/ 1 x)) y))) |
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (sqrt (/ 1 x)))) |
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) y) 1)))) |
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)))) |
#s(approx (- 1 x) #s(hole binary64 (* -1 x))) |
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1)))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) y) 1)))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)))) |
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* (sqrt x) y))) |
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x))))) |
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) y) 1)))) |
#s(approx (- (* (/ 1 (sqrt x)) y) 1) #s(hole binary64 (- (* (sqrt (/ 1 x)) y) 1))) |
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) |
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))))) |
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x)))))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))))) |
#s(approx (* (sqrt x) y) #s(hole binary64 (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))))) |
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))))) |
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x)))))) |
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (- 1 x))) |
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (- (+ 1 (* (sqrt x) y)) x))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (- 1 x))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (- (+ 1 (* (sqrt x) y)) x))) |
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 1)) |
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) #s(hole binary64 (* -1 x))) |
#s(approx (- (* (/ 1 (sqrt x)) y) 1) #s(hole binary64 -1)) |
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* (sqrt x) y))) |
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* y (- (+ (sqrt x) (/ 1 y)) (/ x y))))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* (sqrt x) y))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* y (- (+ (sqrt x) (/ 1 y)) (/ x y))))) |
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* y (+ (sqrt x) (/ 1 y))))) |
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) #s(hole binary64 (* y (+ (sqrt x) (* -1 (/ x y)))))) |
#s(approx (- (* (/ 1 (sqrt x)) y) 1) #s(hole binary64 (* y (- (sqrt (/ 1 x)) (/ 1 y))))) |
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))))) |
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* -1 (* y (- (* -1 (sqrt x)) (/ 1 y)))))) |
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (/ x y)))))) |
#s(approx (- (* (/ 1 (sqrt x)) y) 1) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y)))))) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (*.f64 x x)) (+.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)) |
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (sqrt.f64 x) y) (*.f64 (sqrt.f64 x) y))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))) |
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 x) y) (*.f64 (sqrt.f64 x) y)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (-.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (fma.f64 x x (*.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)))) |
(/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 (*.f64 (sqrt.f64 x) y) (*.f64 (sqrt.f64 x) y)) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (sqrt.f64 x) y) (*.f64 (sqrt.f64 x) y) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x))))) |
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
(-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 y) (sqrt.f64 x))) |
(-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (sqrt.f64 x) y))) |
(+.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x)) |
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y)) |
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) y) x)) |
(pow.f64 x #s(literal 1/2 binary64)) |
(sqrt.f64 x) |
x |
y |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) x)))) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (sqrt.f64 x) y)) |
(*.f64 (sqrt.f64 x) y) |
(*.f64 y (sqrt.f64 x)) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 x) y) (*.f64 (sqrt.f64 x) y)) #s(literal 1 binary64)) (-.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 x) y) (*.f64 (sqrt.f64 x) y))) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (sqrt.f64 x) y) (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (sqrt.f64 x) y) (*.f64 (sqrt.f64 x) y)) (*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))))) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (sqrt.f64 x)) y)) |
(+.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (-.f64 (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y) #s(literal 1 binary64)) x)) |
(*.f64 (-.f64 (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y) #s(literal 1 binary64)) x) |
(*.f64 x (-.f64 (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y) #s(literal 1 binary64))))) |
(-.f64 (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y) #s(literal 1 binary64)) |
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y) |
(*.f64 y (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) |
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(sqrt.f64 (pow.f64 x #s(literal -1 binary64))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (+.f64 (fma.f64 (sqrt.f64 x) y (neg.f64 x)) #s(literal 1 binary64))) |
#s(approx (sqrt x) (sqrt.f64 x)) |
#s(approx x x) |
#s(approx (- 1 x) #s(literal 1 binary64)) |
#s(approx (- 1 x) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (+.f64 (fma.f64 (sqrt.f64 x) y (neg.f64 x)) #s(literal 1 binary64))) |
#s(approx (* (sqrt x) y) (*.f64 (sqrt.f64 x) y)) |
#s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) |
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) (*.f64 (sqrt.f64 x) y)) |
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) (fma.f64 (sqrt.f64 x) y (neg.f64 x))) |
#s(approx (- (* (/ 1 (sqrt x)) y) 1) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y)) |
#s(approx (- (* (/ 1 (sqrt x)) y) 1) (/.f64 (fma.f64 (sqrt.f64 x) y (neg.f64 x)) x)) |
#s(approx (* (/ 1 (sqrt x)) y) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y)) |
#s(approx (/ 1 (sqrt x)) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (-.f64 (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y) #s(literal 1 binary64)) x)) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (-.f64 (fma.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) x)) |
#s(approx (- 1 x) (neg.f64 x)) |
#s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (-.f64 (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y) #s(literal 1 binary64)) x)) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (-.f64 (fma.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) x)) |
#s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y)) |
#s(approx (+ (* (sqrt x) y) 1) (*.f64 (fma.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y (pow.f64 x #s(literal -1 binary64))) x)) |
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) (*.f64 (-.f64 (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y) #s(literal 1 binary64)) x)) |
#s(approx (- (* (/ 1 (sqrt x)) y) 1) (-.f64 (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y) #s(literal 1 binary64))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (neg.f64 x) (fma.f64 (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y) #s(literal -1 binary64) #s(literal 1 binary64)))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (neg.f64 x) (-.f64 (fma.f64 (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y) #s(literal -1 binary64) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))))) |
#s(approx (sqrt x) (neg.f64 (neg.f64 (sqrt.f64 x)))) |
#s(approx (- 1 x) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (neg.f64 x) (fma.f64 (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y) #s(literal -1 binary64) #s(literal 1 binary64)))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (neg.f64 x) (-.f64 (fma.f64 (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y) #s(literal -1 binary64) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))))) |
#s(approx (* (sqrt x) y) (neg.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1 binary64)))) |
#s(approx (+ (* (sqrt x) y) 1) (neg.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1 binary64)))) |
#s(approx (+ (* (sqrt x) y) 1) (*.f64 (neg.f64 x) (-.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))) |
#s(approx y y) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))) |
#s(approx (+ (* (sqrt x) y) 1) #s(literal 1 binary64)) |
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) (neg.f64 x)) |
#s(approx (- (* (/ 1 (sqrt x)) y) 1) #s(literal -1 binary64)) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (sqrt.f64 x) y)) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) y)) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (sqrt.f64 x) y)) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) y)) |
#s(approx (+ (* (sqrt x) y) 1) (*.f64 (+.f64 (pow.f64 y #s(literal -1 binary64)) (sqrt.f64 x)) y)) |
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) (*.f64 (fma.f64 (/.f64 x y) #s(literal -1 binary64) (sqrt.f64 x)) y)) |
#s(approx (- (* (/ 1 (sqrt x)) y) 1) (*.f64 (-.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))) y)) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))) y))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))) y))) |
#s(approx (+ (* (sqrt x) y) 1) (neg.f64 (*.f64 (-.f64 (neg.f64 (sqrt.f64 x)) (pow.f64 y #s(literal -1 binary64))) y))) |
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) (neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 x) (/.f64 x y)) y))) |
#s(approx (- (* (/ 1 (sqrt x)) y) 1) (neg.f64 (*.f64 (fma.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64) (pow.f64 y #s(literal -1 binary64))) y))) |
Compiled 2 055 to 345 computations (83.2% saved)
9 alts after pruning (6 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 98 | 5 | 103 |
| Fresh | 0 | 1 | 1 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 100 | 9 | 109 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 69.8% | (fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x))) |
| ✓ | 69.8% | #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) |
| ✓ | 60.6% | #s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) |
| ▶ | 93.8% | #s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) x)) |
| ▶ | 63.9% | #s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) #s(literal 1 binary64)) x)) |
| ✓ | 41.6% | #s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (sqrt.f64 x) y)) |
| 35.5% | #s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(approx (- (* (/ 1 (sqrt x)) y) 1) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y)) x)) | |
| ▶ | 30.8% | #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) |
| ▶ | 30.4% | #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64))) |
Compiled 251 to 181 computations (27.9% saved)
| Inputs |
|---|
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) x)) |
(*.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) x) |
(-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y (pow.f64 x #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
#s(literal 1 binary64) |
(sqrt.f64 x) |
x |
y |
(pow.f64 x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64))) |
#s(approx (- 1 x) #s(literal 1 binary64)) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) |
#s(approx (- 1 x) (neg.f64 x)) |
(neg.f64 x) |
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) #s(literal 1 binary64)) x)) |
(*.f64 (-.f64 (/.f64 (*.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) #s(literal 1 binary64)) x) |
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) #s(literal 1 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) |
(*.f64 #s(literal 1 binary64) y) |
| Outputs |
|---|
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (+ 1 (* (sqrt x) y)))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (+ 1 (+ (* -1 x) (* (sqrt x) y))))) |
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) x) #s(hole binary64 (+ 1 (* (sqrt x) y)))) |
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) x) #s(hole binary64 (+ 1 (+ (* -1 x) (* (sqrt x) y))))) |
#s(approx (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) #s(hole binary64 (/ (+ 1 (* (sqrt x) y)) x))) |
#s(approx (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) #s(hole binary64 (/ (+ 1 (+ (* -1 x) (* (sqrt x) y))) x))) |
#s(approx (+ (* (/ 1 (sqrt x)) y) (pow x -1)) #s(hole binary64 (/ (+ 1 (* (sqrt x) y)) x))) |
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (sqrt (/ 1 x)))) |
#s(approx (sqrt x) #s(hole binary64 (sqrt x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (pow x -1) #s(hole binary64 (/ 1 x))) |
#s(approx (- 1 x) #s(hole binary64 1)) |
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x)))) |
#s(approx (neg x) #s(hole binary64 (* -1 x))) |
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (+ 1 (* (sqrt x) y)))) |
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (+ 1 (+ (* -1 x) (* (sqrt x) y))))) |
#s(approx (* (- (/ (* 1 y) (sqrt x)) 1) x) #s(hole binary64 (* (sqrt x) y))) |
#s(approx (* (- (/ (* 1 y) (sqrt x)) 1) x) #s(hole binary64 (+ (* -1 x) (* (sqrt x) y)))) |
#s(approx (- (/ (* 1 y) (sqrt x)) 1) #s(hole binary64 (* (sqrt (/ 1 x)) y))) |
#s(approx (- (/ (* 1 y) (sqrt x)) 1) #s(hole binary64 (/ (+ (* -1 x) (* (sqrt x) y)) x))) |
#s(approx (/ (* 1 y) (sqrt x)) #s(hole binary64 (* (sqrt (/ 1 x)) y))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) y) 1)))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)))) |
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) x) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) y) 1)))) |
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) x) #s(hole binary64 (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)))) |
#s(approx (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) #s(hole binary64 (- (* (sqrt (/ 1 x)) y) 1))) |
#s(approx (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) #s(hole binary64 (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))) |
#s(approx (+ (* (/ 1 (sqrt x)) y) (pow x -1)) #s(hole binary64 (* (sqrt (/ 1 x)) y))) |
#s(approx (+ (* (/ 1 (sqrt x)) y) (pow x -1)) #s(hole binary64 (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))) |
#s(approx (- 1 x) #s(hole binary64 (* -1 x))) |
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1)))) |
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) y) 1)))) |
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)))) |
#s(approx (* (- (/ (* 1 y) (sqrt x)) 1) x) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) y) 1)))) |
#s(approx (- (/ (* 1 y) (sqrt x)) 1) #s(hole binary64 (- (* (sqrt (/ 1 x)) y) 1))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))))) |
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) x) #s(hole binary64 (* -1 (* x (- (* -1 (- (* (sqrt (/ 1 x)) y) 1)) (/ 1 x)))))) |
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x)))))) |
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) |
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (- 1 x))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (- (+ 1 (* (sqrt x) y)) x))) |
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) x) #s(hole binary64 (* x (- (/ 1 x) 1)))) |
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) x) #s(hole binary64 (+ (* x (- (/ 1 x) 1)) (* (sqrt x) y)))) |
#s(approx (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) #s(hole binary64 (- (/ 1 x) 1))) |
#s(approx (+ (* (/ 1 (sqrt x)) y) (pow x -1)) #s(hole binary64 (/ 1 x))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (- 1 x))) |
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (- (+ 1 (* (sqrt x) y)) x))) |
#s(approx (* (- (/ (* 1 y) (sqrt x)) 1) x) #s(hole binary64 (* -1 x))) |
#s(approx (- (/ (* 1 y) (sqrt x)) 1) #s(hole binary64 -1)) |
#s(approx (* 1 y) #s(hole binary64 y)) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* (sqrt x) y))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* y (- (+ (sqrt x) (/ 1 y)) (/ x y))))) |
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) x) #s(hole binary64 (* (sqrt x) y))) |
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) x) #s(hole binary64 (* y (+ (sqrt x) (/ (* x (- (/ 1 x) 1)) y))))) |
#s(approx (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) #s(hole binary64 (* (sqrt (/ 1 x)) y))) |
#s(approx (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) #s(hole binary64 (* y (- (+ (sqrt (/ 1 x)) (/ 1 (* x y))) (/ 1 y))))) |
#s(approx (+ (* (/ 1 (sqrt x)) y) (pow x -1)) #s(hole binary64 (* y (+ (sqrt (/ 1 x)) (/ 1 (* x y)))))) |
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* (sqrt x) y))) |
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* y (- (+ (sqrt x) (/ 1 y)) (/ x y))))) |
#s(approx (* (- (/ (* 1 y) (sqrt x)) 1) x) #s(hole binary64 (* y (+ (sqrt x) (* -1 (/ x y)))))) |
#s(approx (- (/ (* 1 y) (sqrt x)) 1) #s(hole binary64 (* y (- (sqrt (/ 1 x)) (/ 1 y))))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))))) |
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) x) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (* x (- (/ 1 x) 1)) y))))))) |
#s(approx (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (- (/ 1 x) 1) y))))))) |
#s(approx (+ (* (/ 1 (sqrt x)) y) (pow x -1)) #s(hole binary64 (* -1 (* y (- (* -1 (sqrt (/ 1 x))) (/ 1 (* x y))))))) |
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))))) |
#s(approx (* (- (/ (* 1 y) (sqrt x)) 1) x) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (/ x y)))))) |
#s(approx (- (/ (* 1 y) (sqrt x)) 1) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y)))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | ((+ (- 1 x) (* y (sqrt x))) (* (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) x) (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) (+ (* (/ 1 (sqrt x)) y) (pow x -1)) (/ 1 (sqrt x)) 1 (sqrt x) x y (pow x -1) -1 (+ (- 1 x) (* y (sqrt x))) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (neg x) (+ (* (sqrt x) y) (- 1 x)) (+ (- 1 x) (* y (sqrt x))) (* (- (/ (* 1 y) (sqrt x)) 1) x) (- (/ (* 1 y) (sqrt x)) 1) (/ (* 1 y) (sqrt x)) (* 1 y)) |
| 2.0ms | x | @ | 0 | ((+ (- 1 x) (* y (sqrt x))) (* (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) x) (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) (+ (* (/ 1 (sqrt x)) y) (pow x -1)) (/ 1 (sqrt x)) 1 (sqrt x) x y (pow x -1) -1 (+ (- 1 x) (* y (sqrt x))) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (neg x) (+ (* (sqrt x) y) (- 1 x)) (+ (- 1 x) (* y (sqrt x))) (* (- (/ (* 1 y) (sqrt x)) 1) x) (- (/ (* 1 y) (sqrt x)) 1) (/ (* 1 y) (sqrt x)) (* 1 y)) |
| 2.0ms | y | @ | -inf | ((+ (- 1 x) (* y (sqrt x))) (* (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) x) (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) (+ (* (/ 1 (sqrt x)) y) (pow x -1)) (/ 1 (sqrt x)) 1 (sqrt x) x y (pow x -1) -1 (+ (- 1 x) (* y (sqrt x))) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (neg x) (+ (* (sqrt x) y) (- 1 x)) (+ (- 1 x) (* y (sqrt x))) (* (- (/ (* 1 y) (sqrt x)) 1) x) (- (/ (* 1 y) (sqrt x)) 1) (/ (* 1 y) (sqrt x)) (* 1 y)) |
| 1.0ms | y | @ | inf | ((+ (- 1 x) (* y (sqrt x))) (* (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) x) (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) (+ (* (/ 1 (sqrt x)) y) (pow x -1)) (/ 1 (sqrt x)) 1 (sqrt x) x y (pow x -1) -1 (+ (- 1 x) (* y (sqrt x))) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (neg x) (+ (* (sqrt x) y) (- 1 x)) (+ (- 1 x) (* y (sqrt x))) (* (- (/ (* 1 y) (sqrt x)) 1) x) (- (/ (* 1 y) (sqrt x)) 1) (/ (* 1 y) (sqrt x)) (* 1 y)) |
| 1.0ms | x | @ | inf | ((+ (- 1 x) (* y (sqrt x))) (* (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) x) (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) (+ (* (/ 1 (sqrt x)) y) (pow x -1)) (/ 1 (sqrt x)) 1 (sqrt x) x y (pow x -1) -1 (+ (- 1 x) (* y (sqrt x))) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (neg x) (+ (* (sqrt x) y) (- 1 x)) (+ (- 1 x) (* y (sqrt x))) (* (- (/ (* 1 y) (sqrt x)) 1) x) (- (/ (* 1 y) (sqrt x)) 1) (/ (* 1 y) (sqrt x)) (* 1 y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 194 | 1483 |
| 0 | 216 | 1318 |
| 0 | 866 | 1272 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) x)) |
(*.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) x) |
(-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y (pow.f64 x #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
#s(literal 1 binary64) |
(sqrt.f64 x) |
x |
y |
(pow.f64 x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64))) |
#s(approx (- 1 x) #s(literal 1 binary64)) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) |
#s(approx (- 1 x) (neg.f64 x)) |
(neg.f64 x) |
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) #s(literal 1 binary64)) x)) |
(*.f64 (-.f64 (/.f64 (*.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) #s(literal 1 binary64)) x) |
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) #s(literal 1 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) |
(*.f64 #s(literal 1 binary64) y) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (+ 1 (* (sqrt x) y)))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (+ 1 (+ (* -1 x) (* (sqrt x) y))))) |
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) x) #s(hole binary64 (+ 1 (* (sqrt x) y)))) |
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) x) #s(hole binary64 (+ 1 (+ (* -1 x) (* (sqrt x) y))))) |
#s(approx (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) #s(hole binary64 (/ (+ 1 (* (sqrt x) y)) x))) |
#s(approx (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) #s(hole binary64 (/ (+ 1 (+ (* -1 x) (* (sqrt x) y))) x))) |
#s(approx (+ (* (/ 1 (sqrt x)) y) (pow x -1)) #s(hole binary64 (/ (+ 1 (* (sqrt x) y)) x))) |
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (sqrt (/ 1 x)))) |
#s(approx (sqrt x) #s(hole binary64 (sqrt x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (pow x -1) #s(hole binary64 (/ 1 x))) |
#s(approx (- 1 x) #s(hole binary64 1)) |
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x)))) |
#s(approx (neg x) #s(hole binary64 (* -1 x))) |
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (+ 1 (* (sqrt x) y)))) |
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (+ 1 (+ (* -1 x) (* (sqrt x) y))))) |
#s(approx (* (- (/ (* 1 y) (sqrt x)) 1) x) #s(hole binary64 (* (sqrt x) y))) |
#s(approx (* (- (/ (* 1 y) (sqrt x)) 1) x) #s(hole binary64 (+ (* -1 x) (* (sqrt x) y)))) |
#s(approx (- (/ (* 1 y) (sqrt x)) 1) #s(hole binary64 (* (sqrt (/ 1 x)) y))) |
#s(approx (- (/ (* 1 y) (sqrt x)) 1) #s(hole binary64 (/ (+ (* -1 x) (* (sqrt x) y)) x))) |
#s(approx (/ (* 1 y) (sqrt x)) #s(hole binary64 (* (sqrt (/ 1 x)) y))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) y) 1)))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)))) |
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) x) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) y) 1)))) |
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) x) #s(hole binary64 (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)))) |
#s(approx (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) #s(hole binary64 (- (* (sqrt (/ 1 x)) y) 1))) |
#s(approx (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) #s(hole binary64 (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))) |
#s(approx (+ (* (/ 1 (sqrt x)) y) (pow x -1)) #s(hole binary64 (* (sqrt (/ 1 x)) y))) |
#s(approx (+ (* (/ 1 (sqrt x)) y) (pow x -1)) #s(hole binary64 (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))) |
#s(approx (- 1 x) #s(hole binary64 (* -1 x))) |
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1)))) |
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) y) 1)))) |
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)))) |
#s(approx (* (- (/ (* 1 y) (sqrt x)) 1) x) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) y) 1)))) |
#s(approx (- (/ (* 1 y) (sqrt x)) 1) #s(hole binary64 (- (* (sqrt (/ 1 x)) y) 1))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))))) |
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) x) #s(hole binary64 (* -1 (* x (- (* -1 (- (* (sqrt (/ 1 x)) y) 1)) (/ 1 x)))))) |
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x)))))) |
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) |
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (- 1 x))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (- (+ 1 (* (sqrt x) y)) x))) |
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) x) #s(hole binary64 (* x (- (/ 1 x) 1)))) |
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) x) #s(hole binary64 (+ (* x (- (/ 1 x) 1)) (* (sqrt x) y)))) |
#s(approx (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) #s(hole binary64 (- (/ 1 x) 1))) |
#s(approx (+ (* (/ 1 (sqrt x)) y) (pow x -1)) #s(hole binary64 (/ 1 x))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (- 1 x))) |
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (- (+ 1 (* (sqrt x) y)) x))) |
#s(approx (* (- (/ (* 1 y) (sqrt x)) 1) x) #s(hole binary64 (* -1 x))) |
#s(approx (- (/ (* 1 y) (sqrt x)) 1) #s(hole binary64 -1)) |
#s(approx (* 1 y) #s(hole binary64 y)) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* (sqrt x) y))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* y (- (+ (sqrt x) (/ 1 y)) (/ x y))))) |
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) x) #s(hole binary64 (* (sqrt x) y))) |
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) x) #s(hole binary64 (* y (+ (sqrt x) (/ (* x (- (/ 1 x) 1)) y))))) |
#s(approx (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) #s(hole binary64 (* (sqrt (/ 1 x)) y))) |
#s(approx (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) #s(hole binary64 (* y (- (+ (sqrt (/ 1 x)) (/ 1 (* x y))) (/ 1 y))))) |
#s(approx (+ (* (/ 1 (sqrt x)) y) (pow x -1)) #s(hole binary64 (* y (+ (sqrt (/ 1 x)) (/ 1 (* x y)))))) |
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* (sqrt x) y))) |
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* y (- (+ (sqrt x) (/ 1 y)) (/ x y))))) |
#s(approx (* (- (/ (* 1 y) (sqrt x)) 1) x) #s(hole binary64 (* y (+ (sqrt x) (* -1 (/ x y)))))) |
#s(approx (- (/ (* 1 y) (sqrt x)) 1) #s(hole binary64 (* y (- (sqrt (/ 1 x)) (/ 1 y))))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))))) |
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) x) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (* x (- (/ 1 x) 1)) y))))))) |
#s(approx (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (- (/ 1 x) 1) y))))))) |
#s(approx (+ (* (/ 1 (sqrt x)) y) (pow x -1)) #s(hole binary64 (* -1 (* y (- (* -1 (sqrt (/ 1 x))) (/ 1 (* x y))))))) |
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))))) |
#s(approx (* (- (/ (* 1 y) (sqrt x)) 1) x) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (/ x y)))))) |
#s(approx (- (/ (* 1 y) (sqrt x)) 1) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y)))))) |
| Outputs |
|---|
#s(approx (+ (* (sqrt x) y) (- 1 x)) (*.f64 (+.f64 (/.f64 y (sqrt.f64 x)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) x)) |
(*.f64 (+.f64 (/.f64 y (sqrt.f64 x)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) x) |
(*.f64 x (+.f64 (/.f64 y (sqrt.f64 x)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 y (sqrt.f64 x)) (pow.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 y (sqrt.f64 x)) (pow.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)) (+.f64 (+.f64 (/.f64 y (sqrt.f64 x)) (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 y (sqrt.f64 x)) (pow.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (+.f64 (/.f64 y (sqrt.f64 x)) (pow.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 y (sqrt.f64 x)) (pow.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 y (sqrt.f64 x)) (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))))) |
(fma.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(fma.f64 y (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(-.f64 (+.f64 (/.f64 y (sqrt.f64 x)) (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) |
(+.f64 (/.f64 y (sqrt.f64 x)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 y (sqrt.f64 x)) (/.f64 y (sqrt.f64 x))) (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))) (-.f64 (/.f64 y (sqrt.f64 x)) (pow.f64 x #s(literal -1 binary64)))) |
(/.f64 (+.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 y (sqrt.f64 x)) (/.f64 y (sqrt.f64 x)) (-.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) (*.f64 (/.f64 y (sqrt.f64 x)) (pow.f64 x #s(literal -1 binary64)))))) |
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (/.f64 y (sqrt.f64 x))) |
(fma.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y (pow.f64 x #s(literal -1 binary64))) |
(fma.f64 y (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(fma.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x)) (pow.f64 x #s(literal -1 binary64))) |
(+.f64 (/.f64 y (sqrt.f64 x)) (pow.f64 x #s(literal -1 binary64))) |
(+.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 y (sqrt.f64 x))) |
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(sqrt.f64 (pow.f64 x #s(literal -1 binary64))) |
#s(literal 1 binary64) |
(pow.f64 x #s(literal 1/2 binary64)) |
(sqrt.f64 x) |
x |
y |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) |
(pow.f64 x #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 x)) |
(/.f64 #s(literal 1 binary64) x) |
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) |
#s(literal -1 binary64) |
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(approx (- 1 x) #s(literal 1 binary64))) |
#s(approx (- 1 x) #s(literal 1 binary64)) |
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(approx (- 1 x) (neg.f64 x))) |
#s(approx (- 1 x) (neg.f64 x)) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 x #s(literal -1 binary64)) |
(neg.f64 x) |
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 x) y) (*.f64 (sqrt.f64 x) y)) (*.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x)))) (-.f64 (*.f64 (sqrt.f64 x) y) #s(approx (- 1 x) (neg.f64 x)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sqrt.f64 x) y) (*.f64 (sqrt.f64 x) y) (-.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x))) (*.f64 (*.f64 (sqrt.f64 x) y) #s(approx (- 1 x) (neg.f64 x)))))) |
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x))) |
(fma.f64 y (sqrt.f64 x) #s(approx (- 1 x) (neg.f64 x))) |
(+.f64 (*.f64 (sqrt.f64 x) y) #s(approx (- 1 x) (neg.f64 x))) |
(+.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 (sqrt.f64 x) y)) |
#s(approx (+ (* (sqrt x) y) (- 1 x)) (*.f64 (-.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) x)) |
(*.f64 (-.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) x) |
(*.f64 x (-.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 y (sqrt.f64 x)) (/.f64 y (sqrt.f64 x))) #s(literal 1 binary64)) (+.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 y (sqrt.f64 x)) (/.f64 y (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64))))) |
(-.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y) |
(*.f64 y (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x))) |
(/.f64 (neg.f64 y) (neg.f64 (sqrt.f64 x))) |
(/.f64 y (sqrt.f64 x)) |
y |
#s(approx (+ (* (sqrt x) y) (- 1 x)) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) |
#s(approx (+ (* (sqrt x) y) (- 1 x)) (+.f64 (fma.f64 (sqrt.f64 x) y (neg.f64 x)) #s(literal 1 binary64))) |
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) x) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) |
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) x) (+.f64 (fma.f64 (sqrt.f64 x) y (neg.f64 x)) #s(literal 1 binary64))) |
#s(approx (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) (/.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)) |
#s(approx (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) (/.f64 (+.f64 (fma.f64 (sqrt.f64 x) y (neg.f64 x)) #s(literal 1 binary64)) x)) |
#s(approx (+ (* (/ 1 (sqrt x)) y) (pow x -1)) (/.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)) |
#s(approx (/ 1 (sqrt x)) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))) |
#s(approx (sqrt x) (sqrt.f64 x)) |
#s(approx x x) |
#s(approx (pow x -1) (pow.f64 x #s(literal -1 binary64))) |
#s(approx (- 1 x) #s(literal 1 binary64)) |
#s(approx (- 1 x) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) |
#s(approx (neg x) (neg.f64 x)) |
#s(approx (+ (* (sqrt x) y) (- 1 x)) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) |
#s(approx (+ (* (sqrt x) y) (- 1 x)) (+.f64 (fma.f64 (sqrt.f64 x) y (neg.f64 x)) #s(literal 1 binary64))) |
#s(approx (* (- (/ (* 1 y) (sqrt x)) 1) x) (*.f64 (sqrt.f64 x) y)) |
#s(approx (* (- (/ (* 1 y) (sqrt x)) 1) x) (fma.f64 (sqrt.f64 x) y (neg.f64 x))) |
#s(approx (- (/ (* 1 y) (sqrt x)) 1) (/.f64 y (sqrt.f64 x))) |
#s(approx (- (/ (* 1 y) (sqrt x)) 1) (/.f64 (fma.f64 (sqrt.f64 x) y (neg.f64 x)) x)) |
#s(approx (/ (* 1 y) (sqrt x)) (/.f64 y (sqrt.f64 x))) |
#s(approx (+ (* (sqrt x) y) (- 1 x)) (*.f64 (-.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) x)) |
#s(approx (+ (* (sqrt x) y) (- 1 x)) (*.f64 (+.f64 (/.f64 y (sqrt.f64 x)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) x)) |
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) x) (*.f64 (-.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) x)) |
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) x) (*.f64 (+.f64 (/.f64 y (sqrt.f64 x)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) x)) |
#s(approx (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) (-.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64))) |
#s(approx (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) (+.f64 (/.f64 y (sqrt.f64 x)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))) |
#s(approx (+ (* (/ 1 (sqrt x)) y) (pow x -1)) (/.f64 y (sqrt.f64 x))) |
#s(approx (+ (* (/ 1 (sqrt x)) y) (pow x -1)) (+.f64 (/.f64 y (sqrt.f64 x)) (pow.f64 x #s(literal -1 binary64)))) |
#s(approx (- 1 x) (neg.f64 x)) |
#s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)) |
#s(approx (+ (* (sqrt x) y) (- 1 x)) (*.f64 (-.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) x)) |
#s(approx (+ (* (sqrt x) y) (- 1 x)) (*.f64 (+.f64 (/.f64 y (sqrt.f64 x)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) x)) |
#s(approx (* (- (/ (* 1 y) (sqrt x)) 1) x) (*.f64 (-.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) x)) |
#s(approx (- (/ (* 1 y) (sqrt x)) 1) (-.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64))) |
#s(approx (+ (* (sqrt x) y) (- 1 x)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64) #s(literal 1 binary64)))) |
#s(approx (+ (* (sqrt x) y) (- 1 x)) (*.f64 (neg.f64 x) (-.f64 (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))))) |
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) x) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (-.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64))) (pow.f64 x #s(literal -1 binary64))))) |
#s(approx (sqrt x) (neg.f64 (neg.f64 (sqrt.f64 x)))) |
#s(approx (- 1 x) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))))) |
#s(approx (+ (* (sqrt x) y) (- 1 x)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64) #s(literal 1 binary64)))) |
#s(approx (+ (* (sqrt x) y) (- 1 x)) (*.f64 (neg.f64 x) (-.f64 (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))))) |
#s(approx (+ (* (sqrt x) y) (- 1 x)) (-.f64 #s(literal 1 binary64) x)) |
#s(approx (+ (* (sqrt x) y) (- 1 x)) (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))) |
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) x) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)) |
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) x) (fma.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x (*.f64 (sqrt.f64 x) y))) |
#s(approx (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
#s(approx (+ (* (/ 1 (sqrt x)) y) (pow x -1)) (pow.f64 x #s(literal -1 binary64))) |
#s(approx (* 1 y) y) |
#s(approx (+ (* (sqrt x) y) (- 1 x)) (-.f64 #s(literal 1 binary64) x)) |
#s(approx (+ (* (sqrt x) y) (- 1 x)) (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))) |
#s(approx (* (- (/ (* 1 y) (sqrt x)) 1) x) (neg.f64 x)) |
#s(approx (- (/ (* 1 y) (sqrt x)) 1) #s(literal -1 binary64)) |
#s(approx (* 1 y) y) |
#s(approx (+ (* (sqrt x) y) (- 1 x)) (*.f64 (sqrt.f64 x) y)) |
#s(approx (+ (* (sqrt x) y) (- 1 x)) (*.f64 (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) y)) |
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) x) (*.f64 (sqrt.f64 x) y)) |
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) x) (*.f64 (fma.f64 x (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) y) (sqrt.f64 x)) y)) |
#s(approx (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) (/.f64 y (sqrt.f64 x))) |
#s(approx (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) (*.f64 (+.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) y)) y)) |
#s(approx (+ (* (/ 1 (sqrt x)) y) (pow x -1)) (+.f64 (/.f64 y (sqrt.f64 x)) (*.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) y))) |
#s(approx (+ (* (sqrt x) y) (- 1 x)) (*.f64 (sqrt.f64 x) y)) |
#s(approx (+ (* (sqrt x) y) (- 1 x)) (*.f64 (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) y)) |
#s(approx (* (- (/ (* 1 y) (sqrt x)) 1) x) (*.f64 (fma.f64 (/.f64 x y) #s(literal -1 binary64) (sqrt.f64 x)) y)) |
#s(approx (- (/ (* 1 y) (sqrt x)) 1) (*.f64 (-.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))) y)) |
#s(approx (+ (* (sqrt x) y) (- 1 x)) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))) y))) |
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) x) (neg.f64 (*.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) y) (sqrt.f64 x))) y))) |
#s(approx (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) y) #s(literal -1 binary64) (neg.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))) y))) |
#s(approx (+ (* (/ 1 (sqrt x)) y) (pow x -1)) (neg.f64 (*.f64 (-.f64 (neg.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))) (pow.f64 (*.f64 y x) #s(literal -1 binary64))) y))) |
#s(approx (+ (* (sqrt x) y) (- 1 x)) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))) y))) |
#s(approx (* (- (/ (* 1 y) (sqrt x)) 1) x) (neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 x) (/.f64 x y)) y))) |
#s(approx (- (/ (* 1 y) (sqrt x)) 1) (neg.f64 (*.f64 (fma.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64) (pow.f64 y #s(literal -1 binary64))) y))) |
Compiled 2 933 to 469 computations (84% saved)
9 alts after pruning (3 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 119 | 2 | 121 |
| Fresh | 0 | 1 | 1 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 121 | 9 | 130 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 69.8% | (fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x))) |
| ✓ | 69.8% | #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) |
| ✓ | 60.6% | #s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) |
| ▶ | 93.8% | #s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x)) |
| ✓ | 41.6% | #s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (sqrt.f64 x) y)) |
| ▶ | 35.6% | #s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(approx (- (/ (* 1 y) (sqrt x)) 1) (/.f64 y (sqrt.f64 x))) x)) |
| ▶ | 35.5% | #s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(approx (- (* (/ 1 (sqrt x)) y) 1) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y)) x)) |
| ✓ | 30.8% | #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) |
| ✓ | 30.4% | #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64))) |
Compiled 150 to 106 computations (29.3% saved)
| Inputs |
|---|
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(approx (- (* (/ 1 (sqrt x)) y) 1) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y)) x)) |
(*.f64 #s(approx (- (* (/ 1 (sqrt x)) y) 1) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y)) x) |
#s(approx (- (* (/ 1 (sqrt x)) y) 1) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y)) |
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y) |
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) |
(sqrt.f64 x) |
x |
#s(literal -1 binary64) |
y |
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(approx (- (/ (* 1 y) (sqrt x)) 1) (/.f64 y (sqrt.f64 x))) x)) |
(*.f64 #s(approx (- (/ (* 1 y) (sqrt x)) 1) (/.f64 y (sqrt.f64 x))) x) |
#s(approx (- (/ (* 1 y) (sqrt x)) 1) (/.f64 y (sqrt.f64 x))) |
(/.f64 y (sqrt.f64 x)) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x)) |
(*.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x) |
(-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) x) |
| Outputs |
|---|
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (+ 1 (* (sqrt x) y)))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (+ 1 (+ (* -1 x) (* (sqrt x) y))))) |
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) #s(hole binary64 (* (sqrt x) y))) |
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) #s(hole binary64 (+ (* -1 x) (* (sqrt x) y)))) |
#s(approx (- (* (/ 1 (sqrt x)) y) 1) #s(hole binary64 (* (sqrt (/ 1 x)) y))) |
#s(approx (- (* (/ 1 (sqrt x)) y) 1) #s(hole binary64 (/ (+ (* -1 x) (* (sqrt x) y)) x))) |
#s(approx (* (pow (sqrt x) -1) y) #s(hole binary64 (* (sqrt (/ 1 x)) y))) |
#s(approx (pow (sqrt x) -1) #s(hole binary64 (sqrt (/ 1 x)))) |
#s(approx (sqrt x) #s(hole binary64 (sqrt x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* (- (/ (* 1 y) (sqrt x)) 1) x) #s(hole binary64 (* (sqrt x) y))) |
#s(approx (* (- (/ (* 1 y) (sqrt x)) 1) x) #s(hole binary64 (+ (* -1 x) (* (sqrt x) y)))) |
#s(approx (- (/ (* 1 y) (sqrt x)) 1) #s(hole binary64 (* (sqrt (/ 1 x)) y))) |
#s(approx (- (/ (* 1 y) (sqrt x)) 1) #s(hole binary64 (/ (+ (* -1 x) (* (sqrt x) y)) x))) |
#s(approx (/ y (sqrt x)) #s(hole binary64 (* (sqrt (/ 1 x)) y))) |
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) x) #s(hole binary64 (+ 1 (* (sqrt x) y)))) |
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) x) #s(hole binary64 (+ 1 (+ (* -1 x) (* (sqrt x) y))))) |
#s(approx (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) #s(hole binary64 (/ (+ 1 (* (sqrt x) y)) x))) |
#s(approx (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) #s(hole binary64 (/ (+ 1 (+ (* -1 x) (* (sqrt x) y))) x))) |
#s(approx (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) #s(hole binary64 (/ (+ 1 (* (sqrt x) y)) x))) |
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (sqrt (/ 1 x)))) |
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) y) 1)))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)))) |
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) y) 1)))) |
#s(approx (- (* (/ 1 (sqrt x)) y) 1) #s(hole binary64 (- (* (sqrt (/ 1 x)) y) 1))) |
#s(approx (* (- (/ (* 1 y) (sqrt x)) 1) x) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) y) 1)))) |
#s(approx (- (/ (* 1 y) (sqrt x)) 1) #s(hole binary64 (- (* (sqrt (/ 1 x)) y) 1))) |
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) x) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) y) 1)))) |
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) x) #s(hole binary64 (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)))) |
#s(approx (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) #s(hole binary64 (- (* (sqrt (/ 1 x)) y) 1))) |
#s(approx (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) #s(hole binary64 (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))) |
#s(approx (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) #s(hole binary64 (* (sqrt (/ 1 x)) y))) |
#s(approx (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) #s(hole binary64 (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))))) |
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) x) #s(hole binary64 (* -1 (* x (- (* -1 (- (* (sqrt (/ 1 x)) y) 1)) (/ 1 x)))))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (- 1 x))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (- (+ 1 (* (sqrt x) y)) x))) |
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) #s(hole binary64 (* -1 x))) |
#s(approx (- (* (/ 1 (sqrt x)) y) 1) #s(hole binary64 -1)) |
#s(approx y #s(hole binary64 y)) |
#s(approx (* (- (/ (* 1 y) (sqrt x)) 1) x) #s(hole binary64 (* -1 x))) |
#s(approx (- (/ (* 1 y) (sqrt x)) 1) #s(hole binary64 -1)) |
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) x) #s(hole binary64 (* x (- (/ 1 x) 1)))) |
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) x) #s(hole binary64 (+ (* x (- (/ 1 x) 1)) (* (sqrt x) y)))) |
#s(approx (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) #s(hole binary64 (- (/ 1 x) 1))) |
#s(approx (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) #s(hole binary64 (/ 1 x))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* (sqrt x) y))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* y (- (+ (sqrt x) (/ 1 y)) (/ x y))))) |
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) #s(hole binary64 (* y (+ (sqrt x) (* -1 (/ x y)))))) |
#s(approx (- (* (/ 1 (sqrt x)) y) 1) #s(hole binary64 (* y (- (sqrt (/ 1 x)) (/ 1 y))))) |
#s(approx (* (- (/ (* 1 y) (sqrt x)) 1) x) #s(hole binary64 (* y (+ (sqrt x) (* -1 (/ x y)))))) |
#s(approx (- (/ (* 1 y) (sqrt x)) 1) #s(hole binary64 (* y (- (sqrt (/ 1 x)) (/ 1 y))))) |
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) x) #s(hole binary64 (* (sqrt x) y))) |
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) x) #s(hole binary64 (* y (+ (sqrt x) (/ (* x (- (/ 1 x) 1)) y))))) |
#s(approx (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) #s(hole binary64 (* (sqrt (/ 1 x)) y))) |
#s(approx (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) #s(hole binary64 (* y (- (+ (sqrt (/ 1 x)) (/ 1 (* x y))) (/ 1 y))))) |
#s(approx (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) #s(hole binary64 (* y (+ (sqrt (/ 1 x)) (/ 1 (* x y)))))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))))) |
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (/ x y)))))) |
#s(approx (- (* (/ 1 (sqrt x)) y) 1) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y)))))) |
#s(approx (* (- (/ (* 1 y) (sqrt x)) 1) x) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (/ x y)))))) |
#s(approx (- (/ (* 1 y) (sqrt x)) 1) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y)))))) |
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) x) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (* x (- (/ 1 x) 1)) y))))))) |
#s(approx (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (- (/ 1 x) 1) y))))))) |
#s(approx (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) #s(hole binary64 (* -1 (* y (- (* -1 (sqrt (/ 1 x))) (/ 1 (* x y))))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | ((+ (- 1 x) (* y (sqrt x))) (* (- (* (/ 1 (sqrt x)) y) 1) x) (- (* (/ 1 (sqrt x)) y) 1) (* (pow (sqrt x) -1) y) (pow (sqrt x) -1) (sqrt x) x -1 y (+ (- 1 x) (* y (sqrt x))) (* (- (/ (* 1 y) (sqrt x)) 1) x) (- (/ (* 1 y) (sqrt x)) 1) (/ y (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (* (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) x) (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) (/ 1 (sqrt x)) 1 (/ 1 x)) |
| 1.0ms | y | @ | -inf | ((+ (- 1 x) (* y (sqrt x))) (* (- (* (/ 1 (sqrt x)) y) 1) x) (- (* (/ 1 (sqrt x)) y) 1) (* (pow (sqrt x) -1) y) (pow (sqrt x) -1) (sqrt x) x -1 y (+ (- 1 x) (* y (sqrt x))) (* (- (/ (* 1 y) (sqrt x)) 1) x) (- (/ (* 1 y) (sqrt x)) 1) (/ y (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (* (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) x) (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) (/ 1 (sqrt x)) 1 (/ 1 x)) |
| 1.0ms | x | @ | inf | ((+ (- 1 x) (* y (sqrt x))) (* (- (* (/ 1 (sqrt x)) y) 1) x) (- (* (/ 1 (sqrt x)) y) 1) (* (pow (sqrt x) -1) y) (pow (sqrt x) -1) (sqrt x) x -1 y (+ (- 1 x) (* y (sqrt x))) (* (- (/ (* 1 y) (sqrt x)) 1) x) (- (/ (* 1 y) (sqrt x)) 1) (/ y (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (* (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) x) (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) (/ 1 (sqrt x)) 1 (/ 1 x)) |
| 1.0ms | x | @ | 0 | ((+ (- 1 x) (* y (sqrt x))) (* (- (* (/ 1 (sqrt x)) y) 1) x) (- (* (/ 1 (sqrt x)) y) 1) (* (pow (sqrt x) -1) y) (pow (sqrt x) -1) (sqrt x) x -1 y (+ (- 1 x) (* y (sqrt x))) (* (- (/ (* 1 y) (sqrt x)) 1) x) (- (/ (* 1 y) (sqrt x)) 1) (/ y (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (* (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) x) (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) (/ 1 (sqrt x)) 1 (/ 1 x)) |
| 1.0ms | y | @ | inf | ((+ (- 1 x) (* y (sqrt x))) (* (- (* (/ 1 (sqrt x)) y) 1) x) (- (* (/ 1 (sqrt x)) y) 1) (* (pow (sqrt x) -1) y) (pow (sqrt x) -1) (sqrt x) x -1 y (+ (- 1 x) (* y (sqrt x))) (* (- (/ (* 1 y) (sqrt x)) 1) x) (- (/ (* 1 y) (sqrt x)) 1) (/ y (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (* (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) x) (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) (/ 1 (sqrt x)) 1 (/ 1 x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 187 | 1469 |
| 0 | 208 | 1268 |
| 0 | 831 | 1237 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(approx (- (* (/ 1 (sqrt x)) y) 1) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y)) x)) |
(*.f64 #s(approx (- (* (/ 1 (sqrt x)) y) 1) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y)) x) |
#s(approx (- (* (/ 1 (sqrt x)) y) 1) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y)) |
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y) |
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) |
(sqrt.f64 x) |
x |
#s(literal -1 binary64) |
y |
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(approx (- (/ (* 1 y) (sqrt x)) 1) (/.f64 y (sqrt.f64 x))) x)) |
(*.f64 #s(approx (- (/ (* 1 y) (sqrt x)) 1) (/.f64 y (sqrt.f64 x))) x) |
#s(approx (- (/ (* 1 y) (sqrt x)) 1) (/.f64 y (sqrt.f64 x))) |
(/.f64 y (sqrt.f64 x)) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x)) |
(*.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x) |
(-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) x) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (+ 1 (* (sqrt x) y)))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (+ 1 (+ (* -1 x) (* (sqrt x) y))))) |
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) #s(hole binary64 (* (sqrt x) y))) |
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) #s(hole binary64 (+ (* -1 x) (* (sqrt x) y)))) |
#s(approx (- (* (/ 1 (sqrt x)) y) 1) #s(hole binary64 (* (sqrt (/ 1 x)) y))) |
#s(approx (- (* (/ 1 (sqrt x)) y) 1) #s(hole binary64 (/ (+ (* -1 x) (* (sqrt x) y)) x))) |
#s(approx (* (pow (sqrt x) -1) y) #s(hole binary64 (* (sqrt (/ 1 x)) y))) |
#s(approx (pow (sqrt x) -1) #s(hole binary64 (sqrt (/ 1 x)))) |
#s(approx (sqrt x) #s(hole binary64 (sqrt x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* (- (/ (* 1 y) (sqrt x)) 1) x) #s(hole binary64 (* (sqrt x) y))) |
#s(approx (* (- (/ (* 1 y) (sqrt x)) 1) x) #s(hole binary64 (+ (* -1 x) (* (sqrt x) y)))) |
#s(approx (- (/ (* 1 y) (sqrt x)) 1) #s(hole binary64 (* (sqrt (/ 1 x)) y))) |
#s(approx (- (/ (* 1 y) (sqrt x)) 1) #s(hole binary64 (/ (+ (* -1 x) (* (sqrt x) y)) x))) |
#s(approx (/ y (sqrt x)) #s(hole binary64 (* (sqrt (/ 1 x)) y))) |
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) x) #s(hole binary64 (+ 1 (* (sqrt x) y)))) |
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) x) #s(hole binary64 (+ 1 (+ (* -1 x) (* (sqrt x) y))))) |
#s(approx (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) #s(hole binary64 (/ (+ 1 (* (sqrt x) y)) x))) |
#s(approx (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) #s(hole binary64 (/ (+ 1 (+ (* -1 x) (* (sqrt x) y))) x))) |
#s(approx (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) #s(hole binary64 (/ (+ 1 (* (sqrt x) y)) x))) |
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (sqrt (/ 1 x)))) |
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) y) 1)))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)))) |
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) y) 1)))) |
#s(approx (- (* (/ 1 (sqrt x)) y) 1) #s(hole binary64 (- (* (sqrt (/ 1 x)) y) 1))) |
#s(approx (* (- (/ (* 1 y) (sqrt x)) 1) x) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) y) 1)))) |
#s(approx (- (/ (* 1 y) (sqrt x)) 1) #s(hole binary64 (- (* (sqrt (/ 1 x)) y) 1))) |
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) x) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) y) 1)))) |
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) x) #s(hole binary64 (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)))) |
#s(approx (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) #s(hole binary64 (- (* (sqrt (/ 1 x)) y) 1))) |
#s(approx (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) #s(hole binary64 (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))) |
#s(approx (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) #s(hole binary64 (* (sqrt (/ 1 x)) y))) |
#s(approx (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) #s(hole binary64 (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))))) |
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) x) #s(hole binary64 (* -1 (* x (- (* -1 (- (* (sqrt (/ 1 x)) y) 1)) (/ 1 x)))))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (- 1 x))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (- (+ 1 (* (sqrt x) y)) x))) |
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) #s(hole binary64 (* -1 x))) |
#s(approx (- (* (/ 1 (sqrt x)) y) 1) #s(hole binary64 -1)) |
#s(approx y #s(hole binary64 y)) |
#s(approx (* (- (/ (* 1 y) (sqrt x)) 1) x) #s(hole binary64 (* -1 x))) |
#s(approx (- (/ (* 1 y) (sqrt x)) 1) #s(hole binary64 -1)) |
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) x) #s(hole binary64 (* x (- (/ 1 x) 1)))) |
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) x) #s(hole binary64 (+ (* x (- (/ 1 x) 1)) (* (sqrt x) y)))) |
#s(approx (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) #s(hole binary64 (- (/ 1 x) 1))) |
#s(approx (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) #s(hole binary64 (/ 1 x))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* (sqrt x) y))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* y (- (+ (sqrt x) (/ 1 y)) (/ x y))))) |
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) #s(hole binary64 (* y (+ (sqrt x) (* -1 (/ x y)))))) |
#s(approx (- (* (/ 1 (sqrt x)) y) 1) #s(hole binary64 (* y (- (sqrt (/ 1 x)) (/ 1 y))))) |
#s(approx (* (- (/ (* 1 y) (sqrt x)) 1) x) #s(hole binary64 (* y (+ (sqrt x) (* -1 (/ x y)))))) |
#s(approx (- (/ (* 1 y) (sqrt x)) 1) #s(hole binary64 (* y (- (sqrt (/ 1 x)) (/ 1 y))))) |
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) x) #s(hole binary64 (* (sqrt x) y))) |
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) x) #s(hole binary64 (* y (+ (sqrt x) (/ (* x (- (/ 1 x) 1)) y))))) |
#s(approx (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) #s(hole binary64 (* (sqrt (/ 1 x)) y))) |
#s(approx (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) #s(hole binary64 (* y (- (+ (sqrt (/ 1 x)) (/ 1 (* x y))) (/ 1 y))))) |
#s(approx (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) #s(hole binary64 (* y (+ (sqrt (/ 1 x)) (/ 1 (* x y)))))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))))) |
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (/ x y)))))) |
#s(approx (- (* (/ 1 (sqrt x)) y) 1) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y)))))) |
#s(approx (* (- (/ (* 1 y) (sqrt x)) 1) x) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (/ x y)))))) |
#s(approx (- (/ (* 1 y) (sqrt x)) 1) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y)))))) |
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) x) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (* x (- (/ 1 x) 1)) y))))))) |
#s(approx (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (- (/ 1 x) 1) y))))))) |
#s(approx (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) #s(hole binary64 (* -1 (* y (- (* -1 (sqrt (/ 1 x))) (/ 1 (* x y))))))) |
| Outputs |
|---|
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(approx (- (* (/ 1 (sqrt x)) y) 1) (/.f64 y (sqrt.f64 x))) x)) |
(*.f64 #s(approx (- (* (/ 1 (sqrt x)) y) 1) (/.f64 y (sqrt.f64 x))) x) |
(*.f64 x #s(approx (- (* (/ 1 (sqrt x)) y) 1) (/.f64 y (sqrt.f64 x)))) |
#s(approx (- (* (/ 1 (sqrt x)) y) 1) (/.f64 y (sqrt.f64 x))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) |
(*.f64 y (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x))) |
(/.f64 (neg.f64 y) (neg.f64 (sqrt.f64 x))) |
(/.f64 y (sqrt.f64 x)) |
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1/2 binary64))) |
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) |
(pow.f64 x #s(literal -1/2 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(sqrt.f64 (pow.f64 x #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal -1 binary64))) |
(pow.f64 x #s(literal 1/2 binary64)) |
(sqrt.f64 x) |
x |
#s(literal -1 binary64) |
y |
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(approx (- (* (/ 1 (sqrt x)) y) 1) (/.f64 y (sqrt.f64 x))) x)) |
(*.f64 #s(approx (- (* (/ 1 (sqrt x)) y) 1) (/.f64 y (sqrt.f64 x))) x) |
(*.f64 x #s(approx (- (* (/ 1 (sqrt x)) y) 1) (/.f64 y (sqrt.f64 x)))) |
#s(approx (- (* (/ 1 (sqrt x)) y) 1) (/.f64 y (sqrt.f64 x))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) |
(*.f64 y (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x))) |
(/.f64 (neg.f64 y) (neg.f64 (sqrt.f64 x))) |
(/.f64 y (sqrt.f64 x)) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) y (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) x)) |
(*.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) y (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) x) |
(*.f64 x (-.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) y (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) y (pow.f64 x #s(literal -1 binary64))) (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) y (pow.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)) (+.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) y (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) y (pow.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) y (pow.f64 x #s(literal -1 binary64))) (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) y (pow.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) y (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))))) |
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) y (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(fma.f64 y (pow.f64 x #s(literal -1/2 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(-.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) y (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) |
(+.f64 (/.f64 y (sqrt.f64 x)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 y (sqrt.f64 x)) (/.f64 y (sqrt.f64 x))) (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))) (-.f64 (/.f64 y (sqrt.f64 x)) (pow.f64 x #s(literal -1 binary64)))) |
(/.f64 (+.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 y (sqrt.f64 x)) (/.f64 y (sqrt.f64 x)) (-.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) (*.f64 (/.f64 y (sqrt.f64 x)) (pow.f64 x #s(literal -1 binary64)))))) |
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) y (pow.f64 x #s(literal -1 binary64))) |
(fma.f64 y (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(fma.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x)) (pow.f64 x #s(literal -1 binary64))) |
(+.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 y (sqrt.f64 x))) |
(+.f64 (/.f64 y (sqrt.f64 x)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1/2 binary64))) |
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) |
(pow.f64 x #s(literal -1/2 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(sqrt.f64 (pow.f64 x #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal -1 binary64))) |
#s(literal 1 binary64) |
(pow.f64 x #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (+.f64 (fma.f64 (sqrt.f64 x) y (neg.f64 x)) #s(literal 1 binary64))) |
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) (*.f64 (sqrt.f64 x) y)) |
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) (fma.f64 (sqrt.f64 x) y (neg.f64 x))) |
#s(approx (- (* (/ 1 (sqrt x)) y) 1) (/.f64 y (sqrt.f64 x))) |
#s(approx (- (* (/ 1 (sqrt x)) y) 1) (/.f64 (fma.f64 (sqrt.f64 x) y (neg.f64 x)) x)) |
#s(approx (* (pow (sqrt x) -1) y) (/.f64 y (sqrt.f64 x))) |
#s(approx (pow (sqrt x) -1) (pow.f64 x #s(literal -1/2 binary64))) |
#s(approx (sqrt x) (sqrt.f64 x)) |
#s(approx x x) |
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) (*.f64 (sqrt.f64 x) y)) |
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) (fma.f64 (sqrt.f64 x) y (neg.f64 x))) |
#s(approx (- (* (/ 1 (sqrt x)) y) 1) (/.f64 y (sqrt.f64 x))) |
#s(approx (- (* (/ 1 (sqrt x)) y) 1) (/.f64 (fma.f64 (sqrt.f64 x) y (neg.f64 x)) x)) |
#s(approx (* (pow (sqrt x) -1) y) (/.f64 y (sqrt.f64 x))) |
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) x) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) |
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) x) (+.f64 (fma.f64 (sqrt.f64 x) y (neg.f64 x)) #s(literal 1 binary64))) |
#s(approx (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) (/.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)) |
#s(approx (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) (/.f64 (+.f64 (fma.f64 (sqrt.f64 x) y (neg.f64 x)) #s(literal 1 binary64)) x)) |
#s(approx (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) (/.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)) |
#s(approx (pow (sqrt x) -1) (pow.f64 x #s(literal -1/2 binary64))) |
#s(approx (/ 1 x) (pow.f64 x #s(literal -1 binary64))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (-.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) x)) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) y (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) x)) |
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) (*.f64 (-.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) x)) |
#s(approx (- (* (/ 1 (sqrt x)) y) 1) (-.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64))) |
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) (*.f64 (-.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) x)) |
#s(approx (- (* (/ 1 (sqrt x)) y) 1) (-.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64))) |
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) x) (*.f64 (-.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) x)) |
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) x) (*.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) y (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) x)) |
#s(approx (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) (-.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64))) |
#s(approx (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) (-.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) y (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))) |
#s(approx (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) (/.f64 y (sqrt.f64 x))) |
#s(approx (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) y (pow.f64 x #s(literal -1 binary64)))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64) #s(literal 1 binary64)))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (neg.f64 x) (-.f64 (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))))) |
#s(approx (sqrt x) (neg.f64 (neg.f64 (sqrt.f64 x)))) |
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) x) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (-.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64))) (pow.f64 x #s(literal -1 binary64))))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)) |
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) (neg.f64 x)) |
#s(approx (- (* (/ 1 (sqrt x)) y) 1) #s(literal -1 binary64)) |
#s(approx y y) |
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) (neg.f64 x)) |
#s(approx (- (* (/ 1 (sqrt x)) y) 1) #s(literal -1 binary64)) |
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) x) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)) |
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) x) (fma.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x (*.f64 (sqrt.f64 x) y))) |
#s(approx (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
#s(approx (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) (pow.f64 x #s(literal -1 binary64))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (sqrt.f64 x) y)) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) y)) |
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) (*.f64 (fma.f64 (/.f64 x y) #s(literal -1 binary64) (sqrt.f64 x)) y)) |
#s(approx (- (* (/ 1 (sqrt x)) y) 1) (*.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1 binary64))) y)) |
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) (*.f64 (fma.f64 (/.f64 x y) #s(literal -1 binary64) (sqrt.f64 x)) y)) |
#s(approx (- (* (/ 1 (sqrt x)) y) 1) (*.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1 binary64))) y)) |
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) x) (*.f64 (sqrt.f64 x) y)) |
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) x) (*.f64 (fma.f64 x (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) y) (sqrt.f64 x)) y)) |
#s(approx (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) (/.f64 y (sqrt.f64 x))) |
#s(approx (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) (*.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) y)) y)) |
#s(approx (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) (*.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) (pow.f64 x #s(literal -1/2 binary64))) y)) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))) y))) |
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) (neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 x) (/.f64 x y)) y))) |
#s(approx (- (* (/ 1 (sqrt x)) y) 1) (neg.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64) (pow.f64 y #s(literal -1 binary64))) y))) |
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) (neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 x) (/.f64 x y)) y))) |
#s(approx (- (* (/ 1 (sqrt x)) y) 1) (neg.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64) (pow.f64 y #s(literal -1 binary64))) y))) |
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) x) (neg.f64 (*.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) y) (sqrt.f64 x))) y))) |
#s(approx (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) y) #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))) y))) |
#s(approx (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) (neg.f64 (*.f64 (-.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 (*.f64 y x) #s(literal -1 binary64))) y))) |
Compiled 2 722 to 429 computations (84.2% saved)
10 alts after pruning (2 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 97 | 2 | 99 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 2 | 3 |
| Done | 0 | 6 | 6 |
| Total | 98 | 10 | 108 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 69.8% | (fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x))) |
| ✓ | 69.8% | #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) |
| ✓ | 60.6% | #s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) |
| ✓ | 93.8% | #s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x)) |
| ✓ | 41.6% | #s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (sqrt.f64 x) y)) |
| ✓ | 35.6% | #s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(approx (- (/ (* 1 y) (sqrt x)) 1) (/.f64 y (sqrt.f64 x))) x)) |
| 35.6% | #s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(approx (- (* (/ 1 (sqrt x)) y) 1) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) x)) | |
| 34.2% | #s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(approx (- (* (/ 1 (sqrt x)) y) 1) (*.f64 (exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal -1 binary64))) y)) x)) | |
| ✓ | 30.8% | #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) |
| ✓ | 30.4% | #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64))) |
Compiled 455 to 197 computations (56.7% saved)
| Inputs |
|---|
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (sqrt.f64 x) y)) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) |
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x))) |
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(approx (- (/ (* 1 y) (sqrt x)) 1) (/.f64 y (sqrt.f64 x))) x)) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y) #s(literal 1 binary64)) x)) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) #s(literal 1 binary64)) x)) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x)) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(approx (- (* (/ 1 (sqrt x)) y) 1) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) x)) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(approx (- (* (/ 1 (sqrt x)) y) 1) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y)) x)) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) x)) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(approx (- (* (/ 1 (sqrt x)) y) 1) (*.f64 (exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal -1 binary64))) y)) x)) |
| Outputs |
|---|
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
3 calls:
| 9.0ms | y |
| 5.0ms | x |
| 4.0ms | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
| 99.9% | 1 | x |
| 99.9% | 1 | y |
Compiled 10 to 11 computations (-10% saved)
| Inputs |
|---|
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (sqrt.f64 x) y)) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) |
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x))) |
| Outputs |
|---|
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) |
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x))) |
3 calls:
| 3.0ms | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
| 3.0ms | x |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.5% | 2 | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
| 98.5% | 2 | x |
| 98.0% | 3 | y |
Compiled 10 to 11 computations (-10% saved)
| Inputs |
|---|
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (sqrt.f64 x) y)) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) |
3 calls:
| 2.0ms | y |
| 2.0ms | x |
| 2.0ms | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.0% | 3 | y |
| 81.7% | 3 | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
| 83.7% | 2 | x |
Compiled 10 to 11 computations (-10% saved)
| Inputs |
|---|
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (sqrt.f64 x) y)) |
| Outputs |
|---|
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (sqrt.f64 x) y)) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (sqrt.f64 x) y)) |
1 calls:
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.3% | 3 | y |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) |
| Outputs |
|---|
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) |
3 calls:
| 2.0ms | y |
| 2.0ms | x |
| 1.0ms | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.6% | 1 | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
| 60.6% | 1 | x |
| 60.6% | 1 | y |
Compiled 10 to 11 computations (-10% saved)
| Inputs |
|---|
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) |
| Outputs |
|---|
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64))) |
3 calls:
| 2.0ms | x |
| 1.0ms | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.8% | 2 | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
| 40.7% | 4 | y |
| 59.3% | 2 | x |
Compiled 10 to 11 computations (-10% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64))) |
3 calls:
| 1.0ms | y |
| 1.0ms | x |
| 1.0ms | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 30.4% | 1 | y |
| 30.4% | 1 | x |
| 30.4% | 1 | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
Compiled 10 to 11 computations (-10% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 3.0ms | 0.001280310647179646 | 0.0015124966772649812 |
| 1.0ms | 32× | 0 | valid |
Compiled 59 to 54 computations (8.5% saved)
ival-sub!: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-sqrt: 0.0ms (0% of total)ival-add!: 0.0ms (0% of total)ival-mult!: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 1.0131518182881462e+66 | 3.5149650620440583e+80 |
| 13.0ms | -9.818816527157543e+51 | -7.526056512303169e+40 |
| 14.0ms | 320× | 0 | valid |
Compiled 531 to 472 computations (11.1% saved)
ival-sqrt: 3.0ms (49.4% of total)ival-mult!: 2.0ms (32.9% of total)ival-sub!: 1.0ms (16.5% of total)ival-add!: 1.0ms (16.5% of total)adjust: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 6.0ms | 1.0131518182881462e+66 | 3.5149650620440583e+80 |
| 36.0ms | -6.098360528432398e+74 | -3.3610139956728902e+72 |
| 8.0ms | 192× | 0 | valid |
Compiled 436 to 386 computations (11.5% saved)
ival-sqrt: 2.0ms (55.5% of total)ival-sub!: 1.0ms (27.7% of total)ival-mult!: 1.0ms (27.7% of total)adjust: 0.0ms (0% of total)ival-add!: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -2632743.1922953846 | 0.9987196893528204 |
Compiled 11 to 12 computations (-9.1% saved)
| 1× | fuel |
Compiled 195 to 42 computations (78.5% saved)
Compiled 406 to 98 computations (75.9% saved)
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