
Time bar (total: 4.0s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 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)
| 515.0ms | 8 254× | 0 | valid |
| 11.0ms | 232× | 0 | invalid |
| 0.0ms | 2× | 2 | valid |
ival-sqrt: 111.0ms (38.5% of total)ival-mult: 67.0ms (23.2% of total)ival-sub: 56.0ms (19.4% of total)ival-add: 37.0ms (12.8% of total)ival-true: 6.0ms (2.1% of total)exact: 5.0ms (1.7% of total)adjust: 3.0ms (1% of total)ival-assert: 3.0ms (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 |
| 28.0ms | 512× | 0 | valid |
Compiled 52 to 25 computations (51.9% saved)
ival-mult: 4.0ms (28.6% of total)ival-sqrt: 4.0ms (28.6% of total)ival-sub: 3.0ms (21.4% of total)ival-add: 2.0ms (14.3% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 46 |
| 1 | 49 | 46 |
| 2 | 96 | 46 |
| 3 | 172 | 43 |
| 4 | 356 | 42 |
| 5 | 1037 | 42 |
| 6 | 2806 | 42 |
| 7 | 6607 | 42 |
| 0 | 7 | 8 |
| 0 | 11 | 8 |
| 1 | 20 | 8 |
| 2 | 35 | 8 |
| 3 | 64 | 8 |
| 4 | 133 | 8 |
| 5 | 459 | 8 |
| 6 | 3607 | 8 |
| 7 | 7197 | 8 |
| 0 | 8053 | 7 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
| Outputs |
|---|
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
Compiled 8 to 7 computations (12.5% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
Compiled 8 to 7 computations (12.5% saved)
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (*.f64 y (sqrt.f64 x)) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) | |
| cost-diff | 1 | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 20 |
| 0 | 11 | 20 |
| 1 | 20 | 20 |
| 2 | 35 | 20 |
| 3 | 64 | 20 |
| 4 | 133 | 20 |
| 5 | 459 | 20 |
| 6 | 3607 | 20 |
| 7 | 7197 | 20 |
| 0 | 8053 | 19 |
| 1× | iter limit |
| 1× | node limit |
| 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) |
| Outputs |
|---|
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(*.f64 y (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) y) |
y |
(sqrt.f64 x) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (-.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.0 | (sqrt.f64 x) | |
| accuracy | 0.00390625 | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) | |
| accuracy | 0.22265625 | (*.f64 y (sqrt.f64 x)) |
| 13.0ms | 256× | 0 | valid |
Compiled 22 to 9 computations (59.1% saved)
ival-sub: 2.0ms (30.9% of total)ival-mult: 2.0ms (30.9% of total)ival-sqrt: 2.0ms (30.9% of total)ival-add: 1.0ms (15.4% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
(-.f64 #s(literal 1 binary64) x) |
(*.f64 y (sqrt.f64 x)) |
(sqrt.f64 x) |
| Outputs |
|---|
(+ 1 (* (sqrt x) y)) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
1 |
(+ 1 (* -1 x)) |
(* (sqrt x) y) |
(sqrt x) |
(* x (- (* (sqrt (/ 1 x)) y) 1)) |
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(- 1 x) |
(- (+ 1 (* (sqrt x) y)) x) |
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 31.0ms | x | @ | 0 | ((+ (- 1 x) (* y (sqrt x))) (- 1 x) (* y (sqrt x)) (sqrt x)) |
| 2.0ms | x | @ | -inf | ((+ (- 1 x) (* y (sqrt x))) (- 1 x) (* y (sqrt x)) (sqrt x)) |
| 1.0ms | x | @ | inf | ((+ (- 1 x) (* y (sqrt x))) (- 1 x) (* y (sqrt x)) (sqrt x)) |
| 1.0ms | y | @ | -inf | ((+ (- 1 x) (* y (sqrt x))) (- 1 x) (* y (sqrt x)) (sqrt x)) |
| 1.0ms | y | @ | inf | ((+ (- 1 x) (* y (sqrt x))) (- 1 x) (* y (sqrt x)) (sqrt x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 136 |
| 1 | 140 | 128 |
| 2 | 467 | 127 |
| 0 | 1726 | 120 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| Inputs |
|---|
(+ 1 (* (sqrt x) y)) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
1 |
(+ 1 (* -1 x)) |
(* (sqrt x) y) |
(sqrt x) |
(* x (- (* (sqrt (/ 1 x)) y) 1)) |
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(- 1 x) |
(- (+ 1 (* (sqrt x) y)) x) |
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))) |
| Outputs |
|---|
(+ 1 (* (sqrt x) y)) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(sqrt x) |
(sqrt.f64 x) |
(* x (- (* (sqrt (/ 1 x)) y) 1)) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x) |
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ 1 x) 1)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) |
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x) |
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 (sqrt.f64 x) y) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
(- (+ 1 (* (sqrt x) y)) x) |
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) |
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (sqrt.f64 x)) y) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))) |
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (sqrt.f64 x)) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 17 |
| 0 | 11 | 17 |
| 1 | 48 | 17 |
| 0 | 366 | 16 |
| 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) |
(*.f64 y (sqrt.f64 x)) |
(sqrt.f64 x) |
| Outputs |
|---|
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 x (*.f64 (sqrt.f64 x) y)) (-.f64 x (*.f64 (sqrt.f64 x) y)))) (+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (sqrt.f64 x) y)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (-.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 y) (sqrt.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 y) (sqrt.f64 x)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (*.f64 (sqrt.f64 x) y)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x (*.f64 (sqrt.f64 x) y)) (-.f64 x (*.f64 (sqrt.f64 x) y)) (*.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (sqrt.f64 x) y)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y)))) |
(/.f64 (neg.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)))) (neg.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) (-.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 2 binary64))) (-.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))) (+.f64 (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (sqrt.f64 x))))) |
(/.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 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) |
(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 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))) (/.f64 (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y)))) |
(-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 (sqrt.f64 x)) y)) |
(-.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 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 (sqrt.f64 x) y) (-.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) (fma.f64 (*.f64 (sqrt.f64 x) y) (-.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x)) |
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 (neg.f64 y)) (sqrt.f64 x))) |
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) x) |
(*.f64 (sqrt.f64 x) y) |
(*.f64 y (sqrt.f64 x)) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
(pow.f64 x #s(literal 1/2 binary64)) |
(sqrt.f64 x) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64))) |
Compiled 797 to 159 computations (80.1% saved)
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 39 | 8 | 47 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 40 | 8 | 48 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
| 48.7% | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (*.f64 (sqrt.f64 x) y)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x (*.f64 (sqrt.f64 x) y)) (-.f64 x (*.f64 (sqrt.f64 x) y)) (*.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (sqrt.f64 x) y)))))) | |
| ▶ | 61.8% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 x (*.f64 (sqrt.f64 x) y)) (-.f64 x (*.f64 (sqrt.f64 x) y)))) (+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (sqrt.f64 x) y)))) |
| ▶ | 99.7% | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))))) |
| 67.0% | #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) | |
| ▶ | 61.1% | #s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) |
| 93.1% | #s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) x)) | |
| ▶ | 65.5% | #s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x)) |
Compiled 288 to 174 computations (39.6% saved)
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 y (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) | |
| cost-diff | 1 | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))))) | |
| cost-diff | 5 | (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) | |
| cost-diff | 0 | (*.f64 (-.f64 x (*.f64 (sqrt.f64 x) y)) (-.f64 x (*.f64 (sqrt.f64 x) y))) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 x (*.f64 (sqrt.f64 x) y)) (-.f64 x (*.f64 (sqrt.f64 x) y)))) (+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (sqrt.f64 x) y)))) | |
| cost-diff | 1 | (+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (sqrt.f64 x) y))) | |
| cost-diff | 1 | (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 x (*.f64 (sqrt.f64 x) y)) (-.f64 x (*.f64 (sqrt.f64 x) y)))) | |
| cost-diff | 0 | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x) | |
| cost-diff | 0 | #s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x)) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | #s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 191 |
| 0 | 46 | 173 |
| 1 | 92 | 173 |
| 2 | 217 | 173 |
| 3 | 705 | 173 |
| 4 | 2330 | 173 |
| 5 | 7964 | 173 |
| 0 | 8005 | 169 |
| 1× | iter limit |
| 1× | node limit |
| 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)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x)) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
y |
#s(literal -1 binary64) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 x (*.f64 (sqrt.f64 x) y)) (-.f64 x (*.f64 (sqrt.f64 x) y)))) (+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (sqrt.f64 x) y)))) |
(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 x (*.f64 (sqrt.f64 x) y)) (-.f64 x (*.f64 (sqrt.f64 x) y)))) |
#s(literal 1 binary64) |
(*.f64 (-.f64 x (*.f64 (sqrt.f64 x) y)) (-.f64 x (*.f64 (sqrt.f64 x) y))) |
(-.f64 x (*.f64 (sqrt.f64 x) y)) |
x |
(*.f64 (sqrt.f64 x) y) |
(sqrt.f64 x) |
y |
(+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (sqrt.f64 x) y))) |
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))))) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(*.f64 y (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))) |
y |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
(pow.f64 x #s(literal 1/4 binary64)) |
#s(literal 1/4 binary64) |
| Outputs |
|---|
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 y (sqrt.f64 x) (-.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)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x)) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
y |
#s(literal -1 binary64) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 x (*.f64 (sqrt.f64 x) y)) (-.f64 x (*.f64 (sqrt.f64 x) y)))) (+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (sqrt.f64 x) y)))) |
(/.f64 (fma.f64 (fma.f64 y (sqrt.f64 x) (neg.f64 x)) (fma.f64 (neg.f64 y) (sqrt.f64 x) x) #s(literal 1 binary64)) (-.f64 x (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64)))) |
(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 x (*.f64 (sqrt.f64 x) y)) (-.f64 x (*.f64 (sqrt.f64 x) y)))) |
(fma.f64 (fma.f64 y (sqrt.f64 x) (neg.f64 x)) (fma.f64 (neg.f64 y) (sqrt.f64 x) x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (-.f64 x (*.f64 (sqrt.f64 x) y)) (-.f64 x (*.f64 (sqrt.f64 x) y))) |
(*.f64 (fma.f64 (neg.f64 y) (sqrt.f64 x) x) (fma.f64 (neg.f64 y) (sqrt.f64 x) x)) |
(-.f64 x (*.f64 (sqrt.f64 x) y)) |
(fma.f64 (neg.f64 y) (sqrt.f64 x) x) |
x |
(*.f64 (sqrt.f64 x) y) |
(*.f64 y (sqrt.f64 x)) |
(sqrt.f64 x) |
y |
(+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (sqrt.f64 x) y))) |
(-.f64 x (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64))) |
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))))) |
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(*.f64 y (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))) |
(*.f64 y (sqrt.f64 x)) |
y |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
(sqrt.f64 x) |
(pow.f64 x #s(literal 1/4 binary64)) |
#s(literal 1/4 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (-.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.00390625 | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))))) | |
| accuracy | 0.22265625 | (*.f64 y (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))) | |
| accuracy | 0.5592575195368841 | (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) | |
| accuracy | 0.0078125 | (-.f64 x (*.f64 (sqrt.f64 x) y)) | |
| accuracy | 0.140625 | (*.f64 (-.f64 x (*.f64 (sqrt.f64 x) y)) (-.f64 x (*.f64 (sqrt.f64 x) y))) | |
| accuracy | 0.22265625 | (*.f64 (sqrt.f64 x) y) | |
| accuracy | 24.028293548090957 | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 x (*.f64 (sqrt.f64 x) y)) (-.f64 x (*.f64 (sqrt.f64 x) y)))) (+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (sqrt.f64 x) y)))) | |
| accuracy | 0.12337875976844202 | (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) | |
| accuracy | 0.15234375 | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) | |
| accuracy | 4.38257273007972 | (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x) | |
| accuracy | 17.72531149085747 | #s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x)) | |
| accuracy | 0.0 | (-.f64 #s(literal 1 binary64) x) | |
| accuracy | 24.877854860681232 | #s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.0 | (-.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.0 | (sqrt.f64 x) | |
| accuracy | 0.1171875 | (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
| 72.0ms | 256× | 0 | valid |
Compiled 182 to 27 computations (85.2% saved)
ival-mult: 13.0ms (34% of total)ival-add: 9.0ms (23.6% of total)ival-pow: 5.0ms (13.1% of total)ival-sqrt: 4.0ms (10.5% of total)ival-div: 3.0ms (7.9% of total)ival-sub: 3.0ms (7.9% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
(sqrt.f64 x) |
(-.f64 #s(literal 1 binary64) 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 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x)) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 x (*.f64 (sqrt.f64 x) y)) (-.f64 x (*.f64 (sqrt.f64 x) y)))) |
(+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (sqrt.f64 x) y))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 x (*.f64 (sqrt.f64 x) y)) (-.f64 x (*.f64 (sqrt.f64 x) y)))) (+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (sqrt.f64 x) y)))) |
(*.f64 (-.f64 x (*.f64 (sqrt.f64 x) y)) (-.f64 x (*.f64 (sqrt.f64 x) y))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))))) |
(*.f64 y (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (sqrt.f64 x) y) |
(-.f64 x (*.f64 (sqrt.f64 x) y)) |
| Outputs |
|---|
(+ 1 (* (sqrt x) y)) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(sqrt x) |
1 |
(+ 1 (* -1 x)) |
(* (sqrt x) y) |
(+ (* -1 x) (* (sqrt x) y)) |
(* (sqrt (/ 1 x)) y) |
(/ (+ (* -1 x) (* (sqrt x) y)) x) |
(sqrt (/ 1 x)) |
(- 1 (* x (pow y 2))) |
(- (+ 1 (* 2 (* (sqrt (pow x 3)) y))) (* x (pow y 2))) |
(- (+ 1 (* x (- (* -1 x) (* -2 (* (sqrt x) y))))) (* x (pow y 2))) |
(- 1 (* (sqrt x) y)) |
(- (+ 1 x) (* (sqrt x) y)) |
(/ (- 1 (* x (pow y 2))) (- 1 (* (sqrt x) y))) |
(- (+ (* x (- (+ (* 2 (* (sqrt x) (/ y (- 1 (* (sqrt x) y))))) (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 2))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2)))) (/ 1 (- 1 (* (sqrt x) y)))) (/ (* x (pow y 2)) (- 1 (* (sqrt x) y)))) |
(- (+ (* x (- (+ (* 2 (* (sqrt x) (/ y (- 1 (* (sqrt x) y))))) (+ (* x (- (/ 1 (pow (- 1 (* (sqrt x) y)) 3)) (+ (* 2 (* (sqrt x) (/ y (pow (- 1 (* (sqrt x) y)) 2)))) (+ (/ 1 (- 1 (* (sqrt x) y))) (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 3)))))) (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 2)))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2)))) (/ 1 (- 1 (* (sqrt x) y)))) (/ (* x (pow y 2)) (- 1 (* (sqrt x) y)))) |
(- (+ (* x (- (+ (* 2 (* (sqrt x) (/ y (- 1 (* (sqrt x) y))))) (+ (* x (- (+ (* x (- (+ (* 2 (* (sqrt x) (/ y (pow (- 1 (* (sqrt x) y)) 3)))) (+ (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 4)))) (/ 1 (pow (- 1 (* (sqrt x) y)) 4)))) (/ 1 (pow (- 1 (* (sqrt x) y)) 3))) (+ (* 2 (* (sqrt x) (/ y (pow (- 1 (* (sqrt x) y)) 2)))) (+ (/ 1 (- 1 (* (sqrt x) y))) (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 3)))))) (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 2)))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2)))) (/ 1 (- 1 (* (sqrt x) y)))) (/ (* x (pow y 2)) (- 1 (* (sqrt x) y)))) |
(* x (pow y 2)) |
(+ (* -2 (* (sqrt (pow x 3)) y)) (* x (pow y 2))) |
(+ (* x (+ x (* -2 (* (sqrt x) y)))) (* x (pow y 2))) |
(* -1 (* (sqrt x) y)) |
(- x (* (sqrt x) y)) |
(* x (- (* (sqrt (/ 1 x)) y) 1)) |
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(- (* (sqrt (/ 1 x)) y) 1) |
(* -1 (* (pow x 2) (pow (- 1 (* (sqrt (/ 1 x)) y)) 2))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow (- 1 (* (sqrt (/ 1 x)) y)) 2))) |
(* x (- 1 (* (sqrt (/ 1 x)) y))) |
(* x (- (+ 1 (/ 1 x)) (* (sqrt (/ 1 x)) y))) |
(* -1 (* x (- 1 (* (sqrt (/ 1 x)) y)))) |
(* x (+ (* -1 (- 1 (* (sqrt (/ 1 x)) y))) (/ 1 x))) |
(* (pow x 2) (pow (- 1 (* (sqrt (/ 1 x)) y)) 2)) |
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)) |
(- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* -1 (* (pow x 2) (pow (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) |
(* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) |
(* x (+ 1 (+ (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x)))) |
(* (pow x 2) (pow (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(- 1 x) |
(- (+ 1 (* (sqrt x) y)) x) |
-1 |
(- 1 (pow x 2)) |
(- (+ 1 (* 2 (* (sqrt (pow x 3)) y))) (pow x 2)) |
(- (+ 1 (* y (- (* -1 (* x y)) (* -2 (sqrt (pow x 3)))))) (pow x 2)) |
(+ 1 x) |
(+ 1 (+ x (* -1 (* (sqrt x) y)))) |
(/ (- 1 (pow x 2)) (+ 1 x)) |
(- (+ (* y (- (* 2 (* (sqrt (pow x 3)) (/ 1 (+ 1 x)))) (* -1 (* (sqrt x) (/ (- 1 (pow x 2)) (pow (+ 1 x) 2)))))) (/ 1 (+ 1 x))) (/ (pow x 2) (+ 1 x))) |
(- (+ (* y (- (+ (* 2 (* (sqrt (pow x 3)) (/ 1 (+ 1 x)))) (* y (- (* -1 (/ x (+ 1 x))) (* -1 (* (sqrt x) (/ (- (* 2 (* (sqrt (pow x 3)) (/ 1 (+ 1 x)))) (* -1 (* (sqrt x) (/ (- 1 (pow x 2)) (pow (+ 1 x) 2))))) (+ 1 x))))))) (* -1 (* (sqrt x) (/ (- 1 (pow x 2)) (pow (+ 1 x) 2)))))) (/ 1 (+ 1 x))) (/ (pow x 2) (+ 1 x))) |
(- (+ (* y (- (+ (* 2 (* (sqrt (pow x 3)) (/ 1 (+ 1 x)))) (* y (- (+ (* -1 (/ x (+ 1 x))) (* (sqrt x) (/ (* y (- (* -1 (/ x (+ 1 x))) (* -1 (* (sqrt x) (/ (- (* 2 (* (sqrt (pow x 3)) (/ 1 (+ 1 x)))) (* -1 (* (sqrt x) (/ (- 1 (pow x 2)) (pow (+ 1 x) 2))))) (+ 1 x)))))) (+ 1 x)))) (* -1 (* (sqrt x) (/ (- (* 2 (* (sqrt (pow x 3)) (/ 1 (+ 1 x)))) (* -1 (* (sqrt x) (/ (- 1 (pow x 2)) (pow (+ 1 x) 2))))) (+ 1 x))))))) (* -1 (* (sqrt x) (/ (- 1 (pow x 2)) (pow (+ 1 x) 2)))))) (/ 1 (+ 1 x))) (/ (pow x 2) (+ 1 x))) |
(pow x 2) |
(+ (* -2 (* (sqrt (pow x 3)) y)) (pow x 2)) |
(+ (* y (+ (* -2 (sqrt (pow x 3))) (* x y))) (pow x 2)) |
x |
(+ x (* -1 (* (sqrt x) y))) |
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) |
(* y (+ (sqrt x) (* -1 (/ x y)))) |
(* y (- (sqrt (/ 1 x)) (/ 1 y))) |
(* -1 (* x (pow y 2))) |
(* (pow y 2) (- (* 2 (* (sqrt (pow x 3)) (/ 1 y))) x)) |
(* (pow y 2) (- (/ 1 (pow y 2)) (+ x (+ (* -2 (* (sqrt (pow x 3)) (/ 1 y))) (/ (pow x 2) (pow y 2)))))) |
(* y (- (+ (/ 1 y) (/ x y)) (sqrt x))) |
(* y (- (+ (sqrt x) (* -2 (/ x y))) (* -1 (/ (+ 1 x) y)))) |
(* y (- (+ (sqrt x) (+ (* -2 (/ x y)) (* -1 (* (sqrt (/ 1 x)) (/ (- 1 (pow x 2)) (pow y 2)))))) (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (+ 1 x) (- (* -2 x) (* -1 (+ 1 x)))) (pow y 2)))) (* -1 (/ (+ 1 x) y))))) |
(* y (- (+ (sqrt x) (+ (* -2 (/ x y)) (+ (* -1 (* (sqrt (/ 1 x)) (/ (- 1 (pow x 2)) (pow y 2)))) (* (sqrt (/ 1 x)) (/ (* (+ 1 x) (- (* -1 (* (sqrt (/ 1 x)) (- 1 (pow x 2)))) (* -1 (* (sqrt (/ 1 x)) (* (+ 1 x) (- (* -2 x) (* -1 (+ 1 x)))))))) (pow y 3)))))) (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (+ 1 x) (- (* -2 x) (* -1 (+ 1 x)))) (pow y 2)))) (* -1 (/ (+ 1 x) y))))) |
(* (pow y 2) (+ x (* -2 (* (sqrt (pow x 3)) (/ 1 y))))) |
(* (pow y 2) (+ x (+ (* -2 (* (sqrt (pow x 3)) (/ 1 y))) (/ (pow x 2) (pow y 2))))) |
(* y (- (/ x y) (sqrt x))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))) |
(* -1 (* y (+ (* -1 (sqrt x)) (/ x y)))) |
(* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y)))) |
(* (pow y 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow x 2)) y)) (* 2 (sqrt (pow x 3)))) y)) x)) |
(* -1 (* y (- (* -1 (/ (+ 1 x) y)) (* -1 (sqrt x))))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- (* -2 x) (* -1 (+ 1 x))) y))))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- (+ (* -2 x) (* -1 (/ (- (* (sqrt (/ 1 x)) (- 1 (pow x 2))) (* (sqrt (/ 1 x)) (* (+ 1 x) (- (* -2 x) (* -1 (+ 1 x)))))) y))) (* -1 (+ 1 x))) y))))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- (+ (* -2 x) (* -1 (/ (- (+ (* (sqrt (/ 1 x)) (- 1 (pow x 2))) (* (sqrt (/ 1 x)) (/ (* (+ 1 x) (- (* (sqrt (/ 1 x)) (- 1 (pow x 2))) (* (sqrt (/ 1 x)) (* (+ 1 x) (- (* -2 x) (* -1 (+ 1 x))))))) y))) (* (sqrt (/ 1 x)) (* (+ 1 x) (- (* -2 x) (* -1 (+ 1 x)))))) y))) (* -1 (+ 1 x))) y))))) |
(* (pow y 2) (+ x (* -1 (/ (+ (* -1 (/ (pow x 2) y)) (* 2 (sqrt (pow x 3)))) y)))) |
(* -1 (* y (- (* -1 (/ x y)) (* -1 (sqrt x))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 17.0ms | y | @ | 0 | ((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (sqrt (/ 1 x)) (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y))) (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y))) (* (pow x 1/4) (pow x 1/4)) (+ (- 1 x) (* y (* (pow x 1/4) (pow x 1/4)))) (* y (* (pow x 1/4) (pow x 1/4))) (* (sqrt x) y) (- x (* (sqrt x) y))) |
| 5.0ms | x | @ | -inf | ((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (sqrt (/ 1 x)) (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y))) (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y))) (* (pow x 1/4) (pow x 1/4)) (+ (- 1 x) (* y (* (pow x 1/4) (pow x 1/4)))) (* y (* (pow x 1/4) (pow x 1/4))) (* (sqrt x) y) (- x (* (sqrt x) y))) |
| 3.0ms | x | @ | 0 | ((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (sqrt (/ 1 x)) (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y))) (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y))) (* (pow x 1/4) (pow x 1/4)) (+ (- 1 x) (* y (* (pow x 1/4) (pow x 1/4)))) (* y (* (pow x 1/4) (pow x 1/4))) (* (sqrt x) y) (- x (* (sqrt x) y))) |
| 3.0ms | y | @ | inf | ((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (sqrt (/ 1 x)) (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y))) (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y))) (* (pow x 1/4) (pow x 1/4)) (+ (- 1 x) (* y (* (pow x 1/4) (pow x 1/4)))) (* y (* (pow x 1/4) (pow x 1/4))) (* (sqrt x) y) (- x (* (sqrt x) y))) |
| 3.0ms | y | @ | -inf | ((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (sqrt (/ 1 x)) (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y))) (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y))) (* (pow x 1/4) (pow x 1/4)) (+ (- 1 x) (* y (* (pow x 1/4) (pow x 1/4)))) (* y (* (pow x 1/4) (pow x 1/4))) (* (sqrt x) y) (- x (* (sqrt x) y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 323 | 1705 |
| 1 | 997 | 1595 |
| 2 | 4243 | 1544 |
| 0 | 8178 | 1466 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ 1 (* (sqrt x) y)) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(sqrt x) |
1 |
(+ 1 (* -1 x)) |
(* (sqrt x) y) |
(+ (* -1 x) (* (sqrt x) y)) |
(* (sqrt (/ 1 x)) y) |
(/ (+ (* -1 x) (* (sqrt x) y)) x) |
(sqrt (/ 1 x)) |
(- 1 (* x (pow y 2))) |
(- (+ 1 (* 2 (* (sqrt (pow x 3)) y))) (* x (pow y 2))) |
(- (+ 1 (* x (- (* -1 x) (* -2 (* (sqrt x) y))))) (* x (pow y 2))) |
(- 1 (* (sqrt x) y)) |
(- (+ 1 x) (* (sqrt x) y)) |
(/ (- 1 (* x (pow y 2))) (- 1 (* (sqrt x) y))) |
(- (+ (* x (- (+ (* 2 (* (sqrt x) (/ y (- 1 (* (sqrt x) y))))) (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 2))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2)))) (/ 1 (- 1 (* (sqrt x) y)))) (/ (* x (pow y 2)) (- 1 (* (sqrt x) y)))) |
(- (+ (* x (- (+ (* 2 (* (sqrt x) (/ y (- 1 (* (sqrt x) y))))) (+ (* x (- (/ 1 (pow (- 1 (* (sqrt x) y)) 3)) (+ (* 2 (* (sqrt x) (/ y (pow (- 1 (* (sqrt x) y)) 2)))) (+ (/ 1 (- 1 (* (sqrt x) y))) (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 3)))))) (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 2)))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2)))) (/ 1 (- 1 (* (sqrt x) y)))) (/ (* x (pow y 2)) (- 1 (* (sqrt x) y)))) |
(- (+ (* x (- (+ (* 2 (* (sqrt x) (/ y (- 1 (* (sqrt x) y))))) (+ (* x (- (+ (* x (- (+ (* 2 (* (sqrt x) (/ y (pow (- 1 (* (sqrt x) y)) 3)))) (+ (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 4)))) (/ 1 (pow (- 1 (* (sqrt x) y)) 4)))) (/ 1 (pow (- 1 (* (sqrt x) y)) 3))) (+ (* 2 (* (sqrt x) (/ y (pow (- 1 (* (sqrt x) y)) 2)))) (+ (/ 1 (- 1 (* (sqrt x) y))) (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 3)))))) (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 2)))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2)))) (/ 1 (- 1 (* (sqrt x) y)))) (/ (* x (pow y 2)) (- 1 (* (sqrt x) y)))) |
(* x (pow y 2)) |
(+ (* -2 (* (sqrt (pow x 3)) y)) (* x (pow y 2))) |
(+ (* x (+ x (* -2 (* (sqrt x) y)))) (* x (pow y 2))) |
(* -1 (* (sqrt x) y)) |
(- x (* (sqrt x) y)) |
(* x (- (* (sqrt (/ 1 x)) y) 1)) |
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(- (* (sqrt (/ 1 x)) y) 1) |
(* -1 (* (pow x 2) (pow (- 1 (* (sqrt (/ 1 x)) y)) 2))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow (- 1 (* (sqrt (/ 1 x)) y)) 2))) |
(* x (- 1 (* (sqrt (/ 1 x)) y))) |
(* x (- (+ 1 (/ 1 x)) (* (sqrt (/ 1 x)) y))) |
(* -1 (* x (- 1 (* (sqrt (/ 1 x)) y)))) |
(* x (+ (* -1 (- 1 (* (sqrt (/ 1 x)) y))) (/ 1 x))) |
(* (pow x 2) (pow (- 1 (* (sqrt (/ 1 x)) y)) 2)) |
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)) |
(- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* -1 (* (pow x 2) (pow (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) |
(* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) |
(* x (+ 1 (+ (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x)))) |
(* (pow x 2) (pow (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(- 1 x) |
(- (+ 1 (* (sqrt x) y)) x) |
-1 |
(- 1 (pow x 2)) |
(- (+ 1 (* 2 (* (sqrt (pow x 3)) y))) (pow x 2)) |
(- (+ 1 (* y (- (* -1 (* x y)) (* -2 (sqrt (pow x 3)))))) (pow x 2)) |
(+ 1 x) |
(+ 1 (+ x (* -1 (* (sqrt x) y)))) |
(/ (- 1 (pow x 2)) (+ 1 x)) |
(- (+ (* y (- (* 2 (* (sqrt (pow x 3)) (/ 1 (+ 1 x)))) (* -1 (* (sqrt x) (/ (- 1 (pow x 2)) (pow (+ 1 x) 2)))))) (/ 1 (+ 1 x))) (/ (pow x 2) (+ 1 x))) |
(- (+ (* y (- (+ (* 2 (* (sqrt (pow x 3)) (/ 1 (+ 1 x)))) (* y (- (* -1 (/ x (+ 1 x))) (* -1 (* (sqrt x) (/ (- (* 2 (* (sqrt (pow x 3)) (/ 1 (+ 1 x)))) (* -1 (* (sqrt x) (/ (- 1 (pow x 2)) (pow (+ 1 x) 2))))) (+ 1 x))))))) (* -1 (* (sqrt x) (/ (- 1 (pow x 2)) (pow (+ 1 x) 2)))))) (/ 1 (+ 1 x))) (/ (pow x 2) (+ 1 x))) |
(- (+ (* y (- (+ (* 2 (* (sqrt (pow x 3)) (/ 1 (+ 1 x)))) (* y (- (+ (* -1 (/ x (+ 1 x))) (* (sqrt x) (/ (* y (- (* -1 (/ x (+ 1 x))) (* -1 (* (sqrt x) (/ (- (* 2 (* (sqrt (pow x 3)) (/ 1 (+ 1 x)))) (* -1 (* (sqrt x) (/ (- 1 (pow x 2)) (pow (+ 1 x) 2))))) (+ 1 x)))))) (+ 1 x)))) (* -1 (* (sqrt x) (/ (- (* 2 (* (sqrt (pow x 3)) (/ 1 (+ 1 x)))) (* -1 (* (sqrt x) (/ (- 1 (pow x 2)) (pow (+ 1 x) 2))))) (+ 1 x))))))) (* -1 (* (sqrt x) (/ (- 1 (pow x 2)) (pow (+ 1 x) 2)))))) (/ 1 (+ 1 x))) (/ (pow x 2) (+ 1 x))) |
(pow x 2) |
(+ (* -2 (* (sqrt (pow x 3)) y)) (pow x 2)) |
(+ (* y (+ (* -2 (sqrt (pow x 3))) (* x y))) (pow x 2)) |
x |
(+ x (* -1 (* (sqrt x) y))) |
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) |
(* y (+ (sqrt x) (* -1 (/ x y)))) |
(* y (- (sqrt (/ 1 x)) (/ 1 y))) |
(* -1 (* x (pow y 2))) |
(* (pow y 2) (- (* 2 (* (sqrt (pow x 3)) (/ 1 y))) x)) |
(* (pow y 2) (- (/ 1 (pow y 2)) (+ x (+ (* -2 (* (sqrt (pow x 3)) (/ 1 y))) (/ (pow x 2) (pow y 2)))))) |
(* y (- (+ (/ 1 y) (/ x y)) (sqrt x))) |
(* y (- (+ (sqrt x) (* -2 (/ x y))) (* -1 (/ (+ 1 x) y)))) |
(* y (- (+ (sqrt x) (+ (* -2 (/ x y)) (* -1 (* (sqrt (/ 1 x)) (/ (- 1 (pow x 2)) (pow y 2)))))) (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (+ 1 x) (- (* -2 x) (* -1 (+ 1 x)))) (pow y 2)))) (* -1 (/ (+ 1 x) y))))) |
(* y (- (+ (sqrt x) (+ (* -2 (/ x y)) (+ (* -1 (* (sqrt (/ 1 x)) (/ (- 1 (pow x 2)) (pow y 2)))) (* (sqrt (/ 1 x)) (/ (* (+ 1 x) (- (* -1 (* (sqrt (/ 1 x)) (- 1 (pow x 2)))) (* -1 (* (sqrt (/ 1 x)) (* (+ 1 x) (- (* -2 x) (* -1 (+ 1 x)))))))) (pow y 3)))))) (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (+ 1 x) (- (* -2 x) (* -1 (+ 1 x)))) (pow y 2)))) (* -1 (/ (+ 1 x) y))))) |
(* (pow y 2) (+ x (* -2 (* (sqrt (pow x 3)) (/ 1 y))))) |
(* (pow y 2) (+ x (+ (* -2 (* (sqrt (pow x 3)) (/ 1 y))) (/ (pow x 2) (pow y 2))))) |
(* y (- (/ x y) (sqrt x))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))) |
(* -1 (* y (+ (* -1 (sqrt x)) (/ x y)))) |
(* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y)))) |
(* (pow y 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow x 2)) y)) (* 2 (sqrt (pow x 3)))) y)) x)) |
(* -1 (* y (- (* -1 (/ (+ 1 x) y)) (* -1 (sqrt x))))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- (* -2 x) (* -1 (+ 1 x))) y))))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- (+ (* -2 x) (* -1 (/ (- (* (sqrt (/ 1 x)) (- 1 (pow x 2))) (* (sqrt (/ 1 x)) (* (+ 1 x) (- (* -2 x) (* -1 (+ 1 x)))))) y))) (* -1 (+ 1 x))) y))))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- (+ (* -2 x) (* -1 (/ (- (+ (* (sqrt (/ 1 x)) (- 1 (pow x 2))) (* (sqrt (/ 1 x)) (/ (* (+ 1 x) (- (* (sqrt (/ 1 x)) (- 1 (pow x 2))) (* (sqrt (/ 1 x)) (* (+ 1 x) (- (* -2 x) (* -1 (+ 1 x))))))) y))) (* (sqrt (/ 1 x)) (* (+ 1 x) (- (* -2 x) (* -1 (+ 1 x)))))) y))) (* -1 (+ 1 x))) y))))) |
(* (pow y 2) (+ x (* -1 (/ (+ (* -1 (/ (pow x 2) y)) (* 2 (sqrt (pow x 3)))) y)))) |
(* -1 (* y (- (* -1 (/ x y)) (* -1 (sqrt x))))) |
| Outputs |
|---|
(+ 1 (* (sqrt x) y)) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
(sqrt x) |
(sqrt.f64 x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(+ (* -1 x) (* (sqrt x) y)) |
(fma.f64 (sqrt.f64 x) y (neg.f64 x)) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(/ (+ (* -1 x) (* (sqrt x) y)) x) |
(fma.f64 (sqrt.f64 x) (/.f64 y x) #s(literal -1 binary64)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(- 1 (* x (pow y 2))) |
(fma.f64 (*.f64 y y) (neg.f64 x) #s(literal 1 binary64)) |
(- (+ 1 (* 2 (* (sqrt (pow x 3)) y))) (* x (pow y 2))) |
(fma.f64 (neg.f64 y) (fma.f64 #s(literal -2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 y x)) #s(literal 1 binary64)) |
(- (+ 1 (* x (- (* -1 x) (* -2 (* (sqrt x) y))))) (* x (pow y 2))) |
(-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y (fma.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 x) y) x)) x)) |
(- 1 (* (sqrt x) y)) |
(-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) |
(- (+ 1 x) (* (sqrt x) y)) |
(-.f64 x (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))) |
(/ (- 1 (* x (pow y 2))) (- 1 (* (sqrt x) y))) |
(/.f64 (fma.f64 (*.f64 y y) (neg.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))) |
(- (+ (* x (- (+ (* 2 (* (sqrt x) (/ y (- 1 (* (sqrt x) y))))) (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 2))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2)))) (/ 1 (- 1 (* (sqrt x) y)))) (/ (* x (pow y 2)) (- 1 (* (sqrt x) y)))) |
(fma.f64 (-.f64 (/.f64 (fma.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))) x (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 x) y))) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 2 binary64)))) x (/.f64 (fma.f64 (*.f64 y y) (neg.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))) |
(- (+ (* x (- (+ (* 2 (* (sqrt x) (/ y (- 1 (* (sqrt x) y))))) (+ (* x (- (/ 1 (pow (- 1 (* (sqrt x) y)) 3)) (+ (* 2 (* (sqrt x) (/ y (pow (- 1 (* (sqrt x) y)) 2)))) (+ (/ 1 (- 1 (* (sqrt x) y))) (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 3)))))) (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 2)))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2)))) (/ 1 (- 1 (* (sqrt x) y)))) (/ (* x (pow y 2)) (- 1 (* (sqrt x) y)))) |
(fma.f64 (fma.f64 x (fma.f64 y (/.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))) (/.f64 (fma.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))) x (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 x) y))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 2 binary64)))))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 2 binary64))))) x (/.f64 (fma.f64 (*.f64 y y) (neg.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))) |
(- (+ (* x (- (+ (* 2 (* (sqrt x) (/ y (- 1 (* (sqrt x) y))))) (+ (* x (- (+ (* x (- (+ (* 2 (* (sqrt x) (/ y (pow (- 1 (* (sqrt x) y)) 3)))) (+ (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 4)))) (/ 1 (pow (- 1 (* (sqrt x) y)) 4)))) (/ 1 (pow (- 1 (* (sqrt x) y)) 3))) (+ (* 2 (* (sqrt x) (/ y (pow (- 1 (* (sqrt x) y)) 2)))) (+ (/ 1 (- 1 (* (sqrt x) y))) (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 3)))))) (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 2)))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2)))) (/ 1 (- 1 (* (sqrt x) y)))) (/ (* x (pow y 2)) (- 1 (* (sqrt x) y)))) |
(fma.f64 (-.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 3 binary64)))) (sqrt.f64 x) (fma.f64 (*.f64 y y) (/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 4 binary64)))) x (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))) (/.f64 (fma.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))) x (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 x) y))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 2 binary64)))))) x (/.f64 (fma.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))) x (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 x) y))) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 2 binary64)))) x (/.f64 (fma.f64 (*.f64 y y) (neg.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(+ (* -2 (* (sqrt (pow x 3)) y)) (* x (pow y 2))) |
(*.f64 (fma.f64 #s(literal -2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 y x)) y) |
(+ (* x (+ x (* -2 (* (sqrt x) y)))) (* x (pow y 2))) |
(*.f64 (fma.f64 y y (fma.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 x) y) x)) x) |
(* -1 (* (sqrt x) y)) |
(*.f64 (neg.f64 y) (sqrt.f64 x)) |
(- x (* (sqrt x) y)) |
(-.f64 x (*.f64 (sqrt.f64 x) y)) |
(* x (- (* (sqrt (/ 1 x)) y) 1)) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x) |
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ 1 x) 1)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) |
(- (* (sqrt (/ 1 x)) y) 1) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) |
(* -1 (* (pow x 2) (pow (- 1 (* (sqrt (/ 1 x)) y)) 2))) |
(*.f64 (*.f64 (neg.f64 x) x) (pow.f64 (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow (- 1 (* (sqrt (/ 1 x)) y)) 2))) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (pow.f64 (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 x x)) |
(* x (- 1 (* (sqrt (/ 1 x)) y))) |
(fma.f64 (*.f64 (neg.f64 x) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) |
(* x (- (+ 1 (/ 1 x)) (* (sqrt (/ 1 x)) y))) |
(fma.f64 (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(* -1 (* x (- 1 (* (sqrt (/ 1 x)) y)))) |
(fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)) |
(* x (+ (* -1 (- 1 (* (sqrt (/ 1 x)) y))) (/ 1 x))) |
(fma.f64 (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (neg.f64 x) #s(literal 1 binary64)) |
(* (pow x 2) (pow (- 1 (* (sqrt (/ 1 x)) y)) 2)) |
(*.f64 (pow.f64 (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 x x)) |
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)) |
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) |
(*.f64 (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) (neg.f64 x)) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)) |
(* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)) |
(*.f64 (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) x) |
(- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1) |
(fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* -1 (* (pow x 2) (pow (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) |
(*.f64 (*.f64 (neg.f64 x) x) (pow.f64 (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (pow.f64 (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 x x)) |
(* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) |
(fma.f64 (*.f64 (neg.f64 x) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) |
(* x (+ 1 (+ (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x)))) |
(fma.f64 (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(* (pow x 2) (pow (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)) |
(*.f64 (pow.f64 (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 x x)) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 (sqrt.f64 x) y) |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
(- (+ 1 (* (sqrt x) y)) x) |
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
-1 |
#s(literal -1 binary64) |
(- 1 (pow x 2)) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
(- (+ 1 (* 2 (* (sqrt (pow x 3)) y))) (pow x 2)) |
(fma.f64 (*.f64 y #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
(- (+ 1 (* y (- (* -1 (* x y)) (* -2 (sqrt (pow x 3)))))) (pow x 2)) |
(-.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 y x)) y (*.f64 x x))) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 (+ x (* -1 (* (sqrt x) y)))) |
(-.f64 x (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))) |
(/ (- 1 (pow x 2)) (+ 1 x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) |
(- (+ (* y (- (* 2 (* (sqrt (pow x 3)) (/ 1 (+ 1 x)))) (* -1 (* (sqrt x) (/ (- 1 (pow x 2)) (pow (+ 1 x) 2)))))) (/ 1 (+ 1 x))) (/ (pow x 2) (+ 1 x))) |
(fma.f64 (/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) x)) y (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))) |
(- (+ (* y (- (+ (* 2 (* (sqrt (pow x 3)) (/ 1 (+ 1 x)))) (* y (- (* -1 (/ x (+ 1 x))) (* -1 (* (sqrt x) (/ (- (* 2 (* (sqrt (pow x 3)) (/ 1 (+ 1 x)))) (* -1 (* (sqrt x) (/ (- 1 (pow x 2)) (pow (+ 1 x) 2))))) (+ 1 x))))))) (* -1 (* (sqrt x) (/ (- 1 (pow x 2)) (pow (+ 1 x) 2)))))) (/ 1 (+ 1 x))) (/ (pow x 2) (+ 1 x))) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x) (neg.f64 x)) (+.f64 #s(literal 1 binary64) x)) y (/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) x))) y (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))) |
(- (+ (* y (- (+ (* 2 (* (sqrt (pow x 3)) (/ 1 (+ 1 x)))) (* y (- (+ (* -1 (/ x (+ 1 x))) (* (sqrt x) (/ (* y (- (* -1 (/ x (+ 1 x))) (* -1 (* (sqrt x) (/ (- (* 2 (* (sqrt (pow x 3)) (/ 1 (+ 1 x)))) (* -1 (* (sqrt x) (/ (- 1 (pow x 2)) (pow (+ 1 x) 2))))) (+ 1 x)))))) (+ 1 x)))) (* -1 (* (sqrt x) (/ (- (* 2 (* (sqrt (pow x 3)) (/ 1 (+ 1 x)))) (* -1 (* (sqrt x) (/ (- 1 (pow x 2)) (pow (+ 1 x) 2))))) (+ 1 x))))))) (* -1 (* (sqrt x) (/ (- 1 (pow x 2)) (pow (+ 1 x) 2)))))) (/ 1 (+ 1 x))) (/ (pow x 2) (+ 1 x))) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x) (fma.f64 (*.f64 (sqrt.f64 x) y) (/.f64 (fma.f64 (/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x) (neg.f64 x)) (+.f64 #s(literal 1 binary64) x)) (neg.f64 x))) (+.f64 #s(literal 1 binary64) x)) y (/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) x))) y (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))) |
(pow x 2) |
(*.f64 x x) |
(+ (* -2 (* (sqrt (pow x 3)) y)) (pow x 2)) |
(fma.f64 (*.f64 y #s(literal -2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 x x)) |
(+ (* y (+ (* -2 (sqrt (pow x 3))) (* x y))) (pow x 2)) |
(fma.f64 (fma.f64 #s(literal -2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 y x)) y (*.f64 x x)) |
x |
(+ x (* -1 (* (sqrt x) y))) |
(-.f64 x (*.f64 (sqrt.f64 x) y)) |
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) |
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (sqrt.f64 x)) y) |
(* y (+ (sqrt x) (* -1 (/ x y)))) |
(*.f64 (-.f64 (sqrt.f64 x) (/.f64 x y)) y) |
(* y (- (sqrt (/ 1 x)) (/ 1 y))) |
(*.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y)) y) |
(* -1 (* x (pow y 2))) |
(*.f64 (*.f64 (neg.f64 x) y) y) |
(* (pow y 2) (- (* 2 (* (sqrt (pow x 3)) (/ 1 y))) x)) |
(*.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) y) (neg.f64 x)) (*.f64 y y)) |
(* (pow y 2) (- (/ 1 (pow y 2)) (+ x (+ (* -2 (* (sqrt (pow x 3)) (/ 1 y))) (/ (pow x 2) (pow y 2)))))) |
(*.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (/.f64 (fma.f64 #s(literal -2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 x (/.f64 x y))) y)) x) (*.f64 y y)) |
(* y (- (+ (/ 1 y) (/ x y)) (sqrt x))) |
(*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) (sqrt.f64 x)) y) |
(* y (- (+ (sqrt x) (* -2 (/ x y))) (* -1 (/ (+ 1 x) y)))) |
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x (+.f64 #s(literal 1 binary64) x)) y) (sqrt.f64 x)) y) |
(* y (- (+ (sqrt x) (+ (* -2 (/ x y)) (* -1 (* (sqrt (/ 1 x)) (/ (- 1 (pow x 2)) (pow y 2)))))) (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (+ 1 x) (- (* -2 x) (* -1 (+ 1 x)))) (pow y 2)))) (* -1 (/ (+ 1 x) y))))) |
(*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) (sqrt.f64 x)) (/.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (fma.f64 #s(literal -2 binary64) x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)))) y)) y)) (/.f64 (-.f64 #s(literal -1 binary64) x) y)) y) |
(* y (- (+ (sqrt x) (+ (* -2 (/ x y)) (+ (* -1 (* (sqrt (/ 1 x)) (/ (- 1 (pow x 2)) (pow y 2)))) (* (sqrt (/ 1 x)) (/ (* (+ 1 x) (- (* -1 (* (sqrt (/ 1 x)) (- 1 (pow x 2)))) (* -1 (* (sqrt (/ 1 x)) (* (+ 1 x) (- (* -2 x) (* -1 (+ 1 x)))))))) (pow y 3)))))) (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (+ 1 x) (- (* -2 x) (* -1 (+ 1 x)))) (pow y 2)))) (* -1 (/ (+ 1 x) y))))) |
(*.f64 (-.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) y) y) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (fma.f64 #s(literal -2 binary64) x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x))))) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (/.f64 x y) #s(literal -2 binary64) (sqrt.f64 x))) (neg.f64 (/.f64 (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (fma.f64 #s(literal -2 binary64) x (+.f64 #s(literal 1 binary64) x)) y) (+.f64 #s(literal 1 binary64) x)) y))) y) |
(* (pow y 2) (+ x (* -2 (* (sqrt (pow x 3)) (/ 1 y))))) |
(*.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -2 binary64) y) x) (*.f64 y y)) |
(* (pow y 2) (+ x (+ (* -2 (* (sqrt (pow x 3)) (/ 1 y))) (/ (pow x 2) (pow y 2))))) |
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 x (/.f64 x y))) y) x) (*.f64 y y)) |
(* y (- (/ x y) (sqrt x))) |
(*.f64 (-.f64 (/.f64 x y) (sqrt.f64 x)) y) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))) |
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (sqrt.f64 x)) y) |
(* -1 (* y (+ (* -1 (sqrt x)) (/ x y)))) |
(*.f64 (-.f64 (sqrt.f64 x) (/.f64 x y)) y) |
(* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y)))) |
(fma.f64 (*.f64 #s(literal 1 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) |
(* (pow y 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow x 2)) y)) (* 2 (sqrt (pow x 3)))) y)) x)) |
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) y)) (neg.f64 y)) x) (*.f64 y y)) |
(* -1 (* y (- (* -1 (/ (+ 1 x) y)) (* -1 (sqrt x))))) |
(*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) (sqrt.f64 x)) y) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- (* -2 x) (* -1 (+ 1 x))) y))))) |
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x (+.f64 #s(literal 1 binary64) x)) y) (sqrt.f64 x)) y) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- (+ (* -2 x) (* -1 (/ (- (* (sqrt (/ 1 x)) (- 1 (pow x 2))) (* (sqrt (/ 1 x)) (* (+ 1 x) (- (* -2 x) (* -1 (+ 1 x)))))) y))) (* -1 (+ 1 x))) y))))) |
(*.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (fma.f64 #s(literal -2 binary64) x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)))) y) (fma.f64 #s(literal -2 binary64) x (+.f64 #s(literal 1 binary64) x))) y) (sqrt.f64 x)) y) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- (+ (* -2 x) (* -1 (/ (- (+ (* (sqrt (/ 1 x)) (- 1 (pow x 2))) (* (sqrt (/ 1 x)) (/ (* (+ 1 x) (- (* (sqrt (/ 1 x)) (- 1 (pow x 2))) (* (sqrt (/ 1 x)) (* (+ 1 x) (- (* -2 x) (* -1 (+ 1 x))))))) y))) (* (sqrt (/ 1 x)) (* (+ 1 x) (- (* -2 x) (* -1 (+ 1 x)))))) y))) (* -1 (+ 1 x))) y))))) |
(*.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (fma.f64 #s(literal -2 binary64) x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)))) y)) (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (fma.f64 #s(literal -2 binary64) x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)))) y) (fma.f64 #s(literal 2 binary64) x (-.f64 #s(literal -1 binary64) x))) y) #s(literal -1 binary64) (sqrt.f64 x)) y) |
(* (pow y 2) (+ x (* -1 (/ (+ (* -1 (/ (pow x 2) y)) (* 2 (sqrt (pow x 3)))) y)))) |
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 x (/.f64 x y))) y) x) (*.f64 y y)) |
(* -1 (* y (- (* -1 (/ x y)) (* -1 (sqrt x))))) |
(*.f64 (-.f64 (/.f64 x y) (sqrt.f64 x)) y) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 161 |
| 0 | 46 | 116 |
| 1 | 203 | 112 |
| 0 | 1387 | 112 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
(sqrt.f64 x) |
(-.f64 #s(literal 1 binary64) 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 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x)) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 x (*.f64 (sqrt.f64 x) y)) (-.f64 x (*.f64 (sqrt.f64 x) y)))) |
(+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (sqrt.f64 x) y))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 x (*.f64 (sqrt.f64 x) y)) (-.f64 x (*.f64 (sqrt.f64 x) y)))) (+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (sqrt.f64 x) y)))) |
(*.f64 (-.f64 x (*.f64 (sqrt.f64 x) y)) (-.f64 x (*.f64 (sqrt.f64 x) y))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))))) |
(*.f64 y (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (sqrt.f64 x) y) |
(-.f64 x (*.f64 (sqrt.f64 x) y)) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64))) (+.f64 (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) (-.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64)))) (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 (*.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))) (*.f64 x x)) (+.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)) |
(/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64)) (-.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal -1 binary64))) (/.f64 (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64)) (-.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal -1 binary64))))) (+.f64 (pow.f64 (-.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64)) (-.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal -1 binary64))))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 x x (*.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)))) |
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 y) (sqrt.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 y) (sqrt.f64 x)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64)) (-.f64 x (*.f64 y (sqrt.f64 x)))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64)) (-.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (-.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64)) (-.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal -1 binary64))) (/.f64 (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64)) (-.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal -1 binary64))) (*.f64 (pow.f64 (-.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64)) (-.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal -1 binary64))))))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (-.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal -1 binary64))))) |
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(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal -1 binary64))) (*.f64 (-.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal -1 binary64)) (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64)))) (*.f64 (-.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal -1 binary64)) (-.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal 4 binary64))) (*.f64 (+.f64 (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal 6 binary64))) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal 4 binary64))) (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64))) (-.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal -1 binary64)))) |
(/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 y (sqrt.f64 x)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 2 binary64)))) |
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64))) (neg.f64 (-.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64))) (-.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64))) (-.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal -1 binary64)))) |
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64))) (neg.f64 (-.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal -1 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) (-.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (neg.f64 (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64))) (-.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64)))) (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) (/.f64 (neg.f64 (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64))) (-.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/8 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 (*.f64 y (neg.f64 (pow.f64 x #s(literal 1/4 binary64)))) (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (pow.f64 x #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) y) (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal -1 binary64))) (/.f64 (neg.f64 (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64))) (-.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal -1 binary64)))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64))) (-.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal -1 binary64)))) |
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))) (/.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 2 binary64)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)))) |
(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x) |
(-.f64 (pow.f64 (-.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64)) (-.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal -1 binary64)))) |
(-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)) (pow.f64 x #s(literal 1/4 binary64)))) |
(-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 y) (sqrt.f64 x))) |
(-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (sqrt.f64 x)))) |
(+.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 y (sqrt.f64 x)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (fma.f64 (*.f64 y (sqrt.f64 x)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 2 binary64))))) |
(+.f64 (pow.f64 (-.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64))) (-.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal -1 binary64)))) |
(+.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)) |
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 (neg.f64 y)) (sqrt.f64 x))) |
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/8 binary64))) |
(*.f64 (*.f64 y (neg.f64 (pow.f64 x #s(literal 1/4 binary64)))) (neg.f64 (pow.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) y)) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)) |
(*.f64 y (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) y) |
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/8 binary64))) |
(*.f64 (*.f64 y (neg.f64 (pow.f64 x #s(literal 1/4 binary64)))) (neg.f64 (pow.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) y)) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)) |
(*.f64 y (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) y) |
(*.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (-.f64 x (*.f64 y (sqrt.f64 x))))) |
(*.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (sqrt.f64 x)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 2 binary64)))) (fma.f64 y (sqrt.f64 x) x)) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))) (fma.f64 (*.f64 y (sqrt.f64 x)) (fma.f64 y (sqrt.f64 x) x) (*.f64 x x))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 y) (sqrt.f64 x)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 2 binary64)) (*.f64 x (*.f64 (neg.f64 y) (sqrt.f64 x)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 y (sqrt.f64 x) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y (sqrt.f64 x)) (fma.f64 y (sqrt.f64 x) x) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 2 binary64))) (fma.f64 y (sqrt.f64 x) x)) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 y (sqrt.f64 x)) (fma.f64 y (sqrt.f64 x) x) (*.f64 x x))) |
(fma.f64 (*.f64 (neg.f64 y) (neg.f64 (pow.f64 x #s(literal 1/4 binary64)))) (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) x) |
(fma.f64 (*.f64 (neg.f64 y) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)) x) |
(fma.f64 (neg.f64 (sqrt.f64 x)) y x) |
(fma.f64 (neg.f64 y) (sqrt.f64 x) x) |
(fma.f64 y (neg.f64 (sqrt.f64 x)) x) |
(fma.f64 (sqrt.f64 x) (neg.f64 y) x) |
(-.f64 (/.f64 (*.f64 x x) (fma.f64 y (sqrt.f64 x) x)) (/.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 2 binary64)) (fma.f64 y (sqrt.f64 x) x))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 y (sqrt.f64 x)) (fma.f64 y (sqrt.f64 x) x) (*.f64 x x))) (/.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (fma.f64 (*.f64 y (sqrt.f64 x)) (fma.f64 y (sqrt.f64 x) x) (*.f64 x x)))) |
(-.f64 x (*.f64 y (sqrt.f64 x))) |
(+.f64 (*.f64 (neg.f64 y) (sqrt.f64 x)) x) |
(+.f64 x (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 x)) #s(literal 1 binary64))) |
(+.f64 x (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (sqrt.f64 x)))) |
(+.f64 x (*.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)) (pow.f64 x #s(literal 1/4 binary64)))) |
(+.f64 x (*.f64 (neg.f64 y) (sqrt.f64 x))) |
Compiled 13 097 to 1 538 computations (88.3% saved)
14 alts after pruning (13 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 433 | 13 | 446 |
| Fresh | 3 | 0 | 3 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 440 | 14 | 454 |
| Status | Accuracy | Program |
|---|---|---|
| 72.1% | (fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x))) | |
| ▶ | 67.0% | (fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) #s(literal 1 binary64))) |
| ▶ | 18.1% | (/.f64 #s(approx (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (*.f64 (*.f64 (neg.f64 x) y) y)) (+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (sqrt.f64 x) y)))) |
| ▶ | 93.2% | #s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (fma.f64 (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (neg.f64 x) #s(literal 1 binary64))) |
| 67.1% | #s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))) | |
| 38.1% | #s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (/.f64 (fma.f64 (*.f64 y y) (neg.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))) | |
| 50.6% | #s(approx (+ (- 1 x) (* y (sqrt x))) (/.f64 (*.f64 (fma.f64 (*.f64 y y) (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) x) (-.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal -1 binary64)))) | |
| ✓ | 61.1% | #s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) |
| 65.5% | #s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) y #s(literal -1 binary64)) x)) | |
| ▶ | 65.5% | #s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y #s(literal -1 binary64)) x)) |
| 33.9% | #s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) x)) | |
| 33.9% | #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) | |
| ▶ | 28.4% | #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64))) |
| 40.6% | #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) (*.f64 (sqrt.f64 x) y))) |
Compiled 616 to 388 computations (37% saved)
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (*.f64 (neg.f64 x) y) y) | |
| cost-diff | 0 | #s(approx (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (*.f64 (*.f64 (neg.f64 x) y) y)) | |
| cost-diff | 0 | (/.f64 #s(approx (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (*.f64 (*.f64 (neg.f64 x) y) y)) (+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (sqrt.f64 x) y)))) | |
| cost-diff | 1 | (+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (sqrt.f64 x) y))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y #s(literal -1 binary64)) x) | |
| cost-diff | 0 | #s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y #s(literal -1 binary64)) x)) | |
| cost-diff | 1 | (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (- 1 x) #s(literal 1 binary64)) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (- 1 x) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64))) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (fma.f64 (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (neg.f64 x) #s(literal 1 binary64))) | |
| cost-diff | 2 | (fma.f64 (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (neg.f64 x) #s(literal 1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 242 |
| 0 | 58 | 242 |
| 1 | 103 | 239 |
| 2 | 231 | 239 |
| 3 | 786 | 239 |
| 4 | 3084 | 239 |
| 0 | 8129 | 227 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (fma.f64 (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (neg.f64 x) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (neg.f64 x) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(neg.f64 y) |
y |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(neg.f64 x) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64))) |
#s(approx (- 1 x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) #s(literal 1 binary64))) |
(sqrt.f64 x) |
x |
y |
#s(approx (- 1 x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y #s(literal -1 binary64)) x)) |
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y #s(literal -1 binary64)) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
#s(literal 1 binary64) |
(sqrt.f64 x) |
x |
y |
#s(literal -1 binary64) |
(/.f64 #s(approx (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (*.f64 (*.f64 (neg.f64 x) y) y)) (+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (sqrt.f64 x) y)))) |
#s(approx (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (*.f64 (*.f64 (neg.f64 x) y) y)) |
(*.f64 (*.f64 (neg.f64 x) y) y) |
(*.f64 (neg.f64 x) y) |
(neg.f64 x) |
x |
y |
(+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (sqrt.f64 x) y))) |
#s(literal 1 binary64) |
(-.f64 x (*.f64 (sqrt.f64 x) y)) |
(*.f64 (sqrt.f64 x) y) |
(sqrt.f64 x) |
| Outputs |
|---|
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (fma.f64 (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (neg.f64 x) #s(literal 1 binary64))) |
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (neg.f64 x) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 y) #s(literal 1 binary64)) |
(neg.f64 y) |
y |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(neg.f64 x) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64))) |
#s(approx (- 1 x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) #s(literal 1 binary64))) |
(sqrt.f64 x) |
x |
y |
#s(approx (- 1 x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.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 y (sqrt.f64 x)) #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y #s(literal -1 binary64)) x) |
(*.f64 (-.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y #s(literal -1 binary64)) |
(-.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
#s(literal 1 binary64) |
(sqrt.f64 x) |
x |
y |
#s(literal -1 binary64) |
(/.f64 #s(approx (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (*.f64 (*.f64 (neg.f64 x) y) y)) (+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (sqrt.f64 x) y)))) |
(/.f64 #s(approx (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (*.f64 (*.f64 (neg.f64 x) y) y)) (-.f64 x (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)))) |
#s(approx (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (*.f64 (*.f64 (neg.f64 x) y) y)) |
(*.f64 (*.f64 (neg.f64 x) y) y) |
(*.f64 (neg.f64 x) y) |
(neg.f64 x) |
x |
y |
(+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (sqrt.f64 x) y))) |
(-.f64 x (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))) |
#s(literal 1 binary64) |
(-.f64 x (*.f64 (sqrt.f64 x) y)) |
(fma.f64 (sqrt.f64 x) (neg.f64 y) x) |
(*.f64 (sqrt.f64 x) y) |
(sqrt.f64 x) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.13671875 | (*.f64 (*.f64 (neg.f64 x) y) y) | |
| accuracy | 0.22265625 | (*.f64 (sqrt.f64 x) y) | |
| accuracy | 24.028293548090957 | (/.f64 #s(approx (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (*.f64 (*.f64 (neg.f64 x) y) y)) (+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (sqrt.f64 x) y)))) | |
| accuracy | 37.03524868799458 | #s(approx (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (*.f64 (*.f64 (neg.f64 x) y) y)) | |
| accuracy | 0.12337875976844202 | (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y #s(literal -1 binary64)) | |
| accuracy | 0.2734375 | (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) | |
| accuracy | 4.38257273007972 | (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y #s(literal -1 binary64)) x) | |
| accuracy | 17.72531149085747 | #s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y #s(literal -1 binary64)) x)) | |
| accuracy | 0.0 | (sqrt.f64 x) | |
| accuracy | 0.1171875 | (fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) #s(literal 1 binary64))) | |
| accuracy | 33.77402144944057 | #s(approx (- 1 x) #s(literal 1 binary64)) | |
| accuracy | 24.877854860681232 | #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64))) | |
| accuracy | 33.77402144944057 | #s(approx (- 1 x) #s(literal 1 binary64)) | |
| accuracy | 0.0 | #s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (fma.f64 (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (neg.f64 x) #s(literal 1 binary64))) | |
| accuracy | 0.12337875976844202 | (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) | |
| accuracy | 0.15234375 | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) | |
| accuracy | 4.34351023007972 | (fma.f64 (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (neg.f64 x) #s(literal 1 binary64)) |
| 57.0ms | 256× | 0 | valid |
Compiled 201 to 31 computations (84.6% saved)
ival-mult: 13.0ms (40.3% of total)ival-add: 6.0ms (18.6% of total)ival-div: 5.0ms (15.5% of total)ival-sub: 3.0ms (9.3% of total)ival-sqrt: 3.0ms (9.3% of total)ival-neg: 2.0ms (6.2% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (neg.f64 x) #s(literal 1 binary64)) |
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (fma.f64 (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (neg.f64 x) #s(literal 1 binary64))) |
(fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(neg.f64 y) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64))) |
#s(approx (- 1 x) #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) #s(literal 1 binary64))) |
(sqrt.f64 x) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y #s(literal -1 binary64)) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y #s(literal -1 binary64)) x)) |
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y #s(literal -1 binary64)) x) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (sqrt.f64 x) y))) |
(/.f64 #s(approx (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (*.f64 (*.f64 (neg.f64 x) y) y)) (+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (sqrt.f64 x) y)))) |
#s(approx (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (*.f64 (*.f64 (neg.f64 x) y) y)) |
(*.f64 (*.f64 (neg.f64 x) y) y) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (sqrt.f64 x) y) |
| Outputs |
|---|
(+ 1 (* (sqrt x) y)) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(/ (- 1 (* x (pow y 2))) (- 1 (* (sqrt x) y))) |
(- (+ (* x (- (+ (* 2 (* (sqrt x) (/ y (- 1 (* (sqrt x) y))))) (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 2))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2)))) (/ 1 (- 1 (* (sqrt x) y)))) (/ (* x (pow y 2)) (- 1 (* (sqrt x) y)))) |
(- (+ (* x (- (+ (* 2 (* (sqrt x) (/ y (- 1 (* (sqrt x) y))))) (+ (* x (- (/ 1 (pow (- 1 (* (sqrt x) y)) 3)) (+ (* 2 (* (sqrt x) (/ y (pow (- 1 (* (sqrt x) y)) 2)))) (+ (/ 1 (- 1 (* (sqrt x) y))) (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 3)))))) (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 2)))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2)))) (/ 1 (- 1 (* (sqrt x) y)))) (/ (* x (pow y 2)) (- 1 (* (sqrt x) y)))) |
(- (+ (* x (- (+ (* 2 (* (sqrt x) (/ y (- 1 (* (sqrt x) y))))) (+ (* x (- (+ (* x (- (+ (* 2 (* (sqrt x) (/ y (pow (- 1 (* (sqrt x) y)) 3)))) (+ (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 4)))) (/ 1 (pow (- 1 (* (sqrt x) y)) 4)))) (/ 1 (pow (- 1 (* (sqrt x) y)) 3))) (+ (* 2 (* (sqrt x) (/ y (pow (- 1 (* (sqrt x) y)) 2)))) (+ (/ 1 (- 1 (* (sqrt x) y))) (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 3)))))) (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 2)))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2)))) (/ 1 (- 1 (* (sqrt x) y)))) (/ (* x (pow y 2)) (- 1 (* (sqrt x) y)))) |
(* -1 (* (sqrt (/ 1 x)) y)) |
(/ (+ x (* -1 (* (sqrt x) y))) x) |
1 |
(+ 1 (* -1 x)) |
(sqrt x) |
(* (sqrt (/ 1 x)) y) |
(/ (+ (* -1 x) (* (sqrt x) y)) x) |
(* (sqrt x) y) |
(+ (* -1 x) (* (sqrt x) y)) |
(sqrt (/ 1 x)) |
(- 1 (* (sqrt x) y)) |
(- (+ 1 x) (* (sqrt x) y)) |
(- 1 (* x (pow y 2))) |
(- (+ 1 (* 2 (* (sqrt (pow x 3)) y))) (* x (pow y 2))) |
(- (+ 1 (* x (- (* -1 x) (* -2 (* (sqrt x) y))))) (* x (pow y 2))) |
(* -1 (* x (pow y 2))) |
(* -1 (* x (+ 1 (* -1 (* (sqrt (/ 1 x)) y))))) |
(* x (+ (* -1 (+ 1 (* -1 (* (sqrt (/ 1 x)) y)))) (/ 1 x))) |
(* -1 (* x (- 1 (* (sqrt (/ 1 x)) y)))) |
(* x (+ (* -1 (- 1 (* (sqrt (/ 1 x)) y))) (/ 1 x))) |
(+ 1 (* -1 (* (sqrt (/ 1 x)) y))) |
(* x (- (* (sqrt (/ 1 x)) y) 1)) |
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(- (* (sqrt (/ 1 x)) y) 1) |
(* x (- 1 (* (sqrt (/ 1 x)) y))) |
(* x (- (+ 1 (/ 1 x)) (* (sqrt (/ 1 x)) y))) |
(* -1 (* (pow x 2) (pow (- 1 (* (sqrt (/ 1 x)) y)) 2))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow (- 1 (* (sqrt (/ 1 x)) y)) 2))) |
(* -1 (* x (+ 1 (* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) |
(* -1 (* x (- (+ 1 (* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (/ 1 x)))) |
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) |
(+ 1 (* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) |
(* x (+ 1 (+ (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x)))) |
(* -1 (* (pow x 2) (pow (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(/ (- 1 (pow x 2)) (+ 1 x)) |
(- (+ (* y (- (* 2 (* (sqrt (pow x 3)) (/ 1 (+ 1 x)))) (* -1 (* (sqrt x) (/ (- 1 (pow x 2)) (pow (+ 1 x) 2)))))) (/ 1 (+ 1 x))) (/ (pow x 2) (+ 1 x))) |
(- (+ (* y (- (+ (* 2 (* (sqrt (pow x 3)) (/ 1 (+ 1 x)))) (* y (- (* -1 (/ x (+ 1 x))) (* -1 (* (sqrt x) (/ (- (* 2 (* (sqrt (pow x 3)) (/ 1 (+ 1 x)))) (* -1 (* (sqrt x) (/ (- 1 (pow x 2)) (pow (+ 1 x) 2))))) (+ 1 x))))))) (* -1 (* (sqrt x) (/ (- 1 (pow x 2)) (pow (+ 1 x) 2)))))) (/ 1 (+ 1 x))) (/ (pow x 2) (+ 1 x))) |
(- (+ (* y (- (+ (* 2 (* (sqrt (pow x 3)) (/ 1 (+ 1 x)))) (* y (- (+ (* -1 (/ x (+ 1 x))) (* (sqrt x) (/ (* y (- (* -1 (/ x (+ 1 x))) (* -1 (* (sqrt x) (/ (- (* 2 (* (sqrt (pow x 3)) (/ 1 (+ 1 x)))) (* -1 (* (sqrt x) (/ (- 1 (pow x 2)) (pow (+ 1 x) 2))))) (+ 1 x)))))) (+ 1 x)))) (* -1 (* (sqrt x) (/ (- (* 2 (* (sqrt (pow x 3)) (/ 1 (+ 1 x)))) (* -1 (* (sqrt x) (/ (- 1 (pow x 2)) (pow (+ 1 x) 2))))) (+ 1 x))))))) (* -1 (* (sqrt x) (/ (- 1 (pow x 2)) (pow (+ 1 x) 2)))))) (/ 1 (+ 1 x))) (/ (pow x 2) (+ 1 x))) |
(* -1 y) |
(- 1 x) |
(- (+ 1 (* (sqrt x) y)) x) |
-1 |
(+ 1 x) |
(+ 1 (+ x (* -1 (* (sqrt x) y)))) |
(- 1 (pow x 2)) |
(- (+ 1 (* 2 (* (sqrt (pow x 3)) y))) (pow x 2)) |
(- (+ 1 (* y (- (* -1 (* x y)) (* -2 (sqrt (pow x 3)))))) (pow x 2)) |
(* y (+ (sqrt x) (+ (* -1 (/ x y)) (/ 1 y)))) |
(* y (- (+ (sqrt x) (* -2 (/ x y))) (* -1 (/ (+ 1 x) y)))) |
(* y (- (+ (sqrt x) (+ (* -2 (/ x y)) (* -1 (* (sqrt (/ 1 x)) (/ (- 1 (pow x 2)) (pow y 2)))))) (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (+ 1 x) (- (* -2 x) (* -1 (+ 1 x)))) (pow y 2)))) (* -1 (/ (+ 1 x) y))))) |
(* y (- (+ (sqrt x) (+ (* -2 (/ x y)) (+ (* -1 (* (sqrt (/ 1 x)) (/ (- 1 (pow x 2)) (pow y 2)))) (* (sqrt (/ 1 x)) (/ (* (+ 1 x) (- (* -1 (* (sqrt (/ 1 x)) (- 1 (pow x 2)))) (* -1 (* (sqrt (/ 1 x)) (* (+ 1 x) (- (* -2 x) (* -1 (+ 1 x)))))))) (pow y 3)))))) (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (+ 1 x) (- (* -2 x) (* -1 (+ 1 x)))) (pow y 2)))) (* -1 (/ (+ 1 x) y))))) |
(* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y))) |
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) |
(* y (- (sqrt (/ 1 x)) (/ 1 y))) |
(* y (+ (sqrt x) (* -1 (/ x y)))) |
(* -1 (* (sqrt x) y)) |
(* y (- (+ (/ 1 y) (/ x y)) (sqrt x))) |
(* (pow y 2) (- (* 2 (* (sqrt (pow x 3)) (/ 1 y))) x)) |
(* (pow y 2) (- (/ 1 (pow y 2)) (+ x (+ (* -2 (* (sqrt (pow x 3)) (/ 1 y))) (/ (pow x 2) (pow y 2)))))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 (* -1 x)) y))))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- (* -2 x) (* -1 (+ 1 x))) y))))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- (+ (* -2 x) (* -1 (/ (- (* (sqrt (/ 1 x)) (- 1 (pow x 2))) (* (sqrt (/ 1 x)) (* (+ 1 x) (- (* -2 x) (* -1 (+ 1 x)))))) y))) (* -1 (+ 1 x))) y))))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- (+ (* -2 x) (* -1 (/ (- (+ (* (sqrt (/ 1 x)) (- 1 (pow x 2))) (* (sqrt (/ 1 x)) (/ (* (+ 1 x) (- (* (sqrt (/ 1 x)) (- 1 (pow x 2))) (* (sqrt (/ 1 x)) (* (+ 1 x) (- (* -2 x) (* -1 (+ 1 x))))))) y))) (* (sqrt (/ 1 x)) (* (+ 1 x) (- (* -2 x) (* -1 (+ 1 x)))))) y))) (* -1 (+ 1 x))) y))))) |
(* -1 (* y (- (sqrt (/ 1 x)) (/ 1 y)))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))) |
(* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y)))) |
(* -1 (* y (+ (* -1 (sqrt x)) (/ x y)))) |
(* -1 (* y (- (* -1 (/ (+ 1 x) y)) (* -1 (sqrt x))))) |
(* (pow y 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow x 2)) y)) (* 2 (sqrt (pow x 3)))) y)) x)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | x | @ | inf | ((+ (* (+ (* (neg y) (sqrt (/ 1 x))) 1) (neg x)) 1) (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (+ (* (neg y) (sqrt (/ 1 x))) 1) (neg y) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (+ (* (sqrt x) y) (- 1 x)) (sqrt x) (+ (* (/ 1 (sqrt x)) y) -1) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (/ 1 (sqrt x)) y) -1) x) (/ 1 (sqrt x)) (+ 1 (- x (* (sqrt x) y))) (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (* (* (neg x) y) y) (sqrt (/ 1 x)) (* (sqrt x) y)) |
| 6.0ms | x | @ | -inf | ((+ (* (+ (* (neg y) (sqrt (/ 1 x))) 1) (neg x)) 1) (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (+ (* (neg y) (sqrt (/ 1 x))) 1) (neg y) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (+ (* (sqrt x) y) (- 1 x)) (sqrt x) (+ (* (/ 1 (sqrt x)) y) -1) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (/ 1 (sqrt x)) y) -1) x) (/ 1 (sqrt x)) (+ 1 (- x (* (sqrt x) y))) (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (* (* (neg x) y) y) (sqrt (/ 1 x)) (* (sqrt x) y)) |
| 3.0ms | x | @ | 0 | ((+ (* (+ (* (neg y) (sqrt (/ 1 x))) 1) (neg x)) 1) (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (+ (* (neg y) (sqrt (/ 1 x))) 1) (neg y) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (+ (* (sqrt x) y) (- 1 x)) (sqrt x) (+ (* (/ 1 (sqrt x)) y) -1) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (/ 1 (sqrt x)) y) -1) x) (/ 1 (sqrt x)) (+ 1 (- x (* (sqrt x) y))) (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (* (* (neg x) y) y) (sqrt (/ 1 x)) (* (sqrt x) y)) |
| 2.0ms | y | @ | inf | ((+ (* (+ (* (neg y) (sqrt (/ 1 x))) 1) (neg x)) 1) (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (+ (* (neg y) (sqrt (/ 1 x))) 1) (neg y) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (+ (* (sqrt x) y) (- 1 x)) (sqrt x) (+ (* (/ 1 (sqrt x)) y) -1) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (/ 1 (sqrt x)) y) -1) x) (/ 1 (sqrt x)) (+ 1 (- x (* (sqrt x) y))) (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (* (* (neg x) y) y) (sqrt (/ 1 x)) (* (sqrt x) y)) |
| 2.0ms | y | @ | -inf | ((+ (* (+ (* (neg y) (sqrt (/ 1 x))) 1) (neg x)) 1) (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (+ (* (neg y) (sqrt (/ 1 x))) 1) (neg y) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (+ (* (sqrt x) y) (- 1 x)) (sqrt x) (+ (* (/ 1 (sqrt x)) y) -1) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (/ 1 (sqrt x)) y) -1) x) (/ 1 (sqrt x)) (+ 1 (- x (* (sqrt x) y))) (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (* (* (neg x) y) y) (sqrt (/ 1 x)) (* (sqrt x) y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 321 | 1637 |
| 1 | 1013 | 1514 |
| 2 | 4280 | 1468 |
| 0 | 8152 | 1387 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ 1 (* (sqrt x) y)) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(/ (- 1 (* x (pow y 2))) (- 1 (* (sqrt x) y))) |
(- (+ (* x (- (+ (* 2 (* (sqrt x) (/ y (- 1 (* (sqrt x) y))))) (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 2))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2)))) (/ 1 (- 1 (* (sqrt x) y)))) (/ (* x (pow y 2)) (- 1 (* (sqrt x) y)))) |
(- (+ (* x (- (+ (* 2 (* (sqrt x) (/ y (- 1 (* (sqrt x) y))))) (+ (* x (- (/ 1 (pow (- 1 (* (sqrt x) y)) 3)) (+ (* 2 (* (sqrt x) (/ y (pow (- 1 (* (sqrt x) y)) 2)))) (+ (/ 1 (- 1 (* (sqrt x) y))) (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 3)))))) (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 2)))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2)))) (/ 1 (- 1 (* (sqrt x) y)))) (/ (* x (pow y 2)) (- 1 (* (sqrt x) y)))) |
(- (+ (* x (- (+ (* 2 (* (sqrt x) (/ y (- 1 (* (sqrt x) y))))) (+ (* x (- (+ (* x (- (+ (* 2 (* (sqrt x) (/ y (pow (- 1 (* (sqrt x) y)) 3)))) (+ (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 4)))) (/ 1 (pow (- 1 (* (sqrt x) y)) 4)))) (/ 1 (pow (- 1 (* (sqrt x) y)) 3))) (+ (* 2 (* (sqrt x) (/ y (pow (- 1 (* (sqrt x) y)) 2)))) (+ (/ 1 (- 1 (* (sqrt x) y))) (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 3)))))) (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 2)))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2)))) (/ 1 (- 1 (* (sqrt x) y)))) (/ (* x (pow y 2)) (- 1 (* (sqrt x) y)))) |
(* -1 (* (sqrt (/ 1 x)) y)) |
(/ (+ x (* -1 (* (sqrt x) y))) x) |
1 |
(+ 1 (* -1 x)) |
(sqrt x) |
(* (sqrt (/ 1 x)) y) |
(/ (+ (* -1 x) (* (sqrt x) y)) x) |
(* (sqrt x) y) |
(+ (* -1 x) (* (sqrt x) y)) |
(sqrt (/ 1 x)) |
(- 1 (* (sqrt x) y)) |
(- (+ 1 x) (* (sqrt x) y)) |
(- 1 (* x (pow y 2))) |
(- (+ 1 (* 2 (* (sqrt (pow x 3)) y))) (* x (pow y 2))) |
(- (+ 1 (* x (- (* -1 x) (* -2 (* (sqrt x) y))))) (* x (pow y 2))) |
(* -1 (* x (pow y 2))) |
(* -1 (* x (+ 1 (* -1 (* (sqrt (/ 1 x)) y))))) |
(* x (+ (* -1 (+ 1 (* -1 (* (sqrt (/ 1 x)) y)))) (/ 1 x))) |
(* -1 (* x (- 1 (* (sqrt (/ 1 x)) y)))) |
(* x (+ (* -1 (- 1 (* (sqrt (/ 1 x)) y))) (/ 1 x))) |
(+ 1 (* -1 (* (sqrt (/ 1 x)) y))) |
(* x (- (* (sqrt (/ 1 x)) y) 1)) |
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(- (* (sqrt (/ 1 x)) y) 1) |
(* x (- 1 (* (sqrt (/ 1 x)) y))) |
(* x (- (+ 1 (/ 1 x)) (* (sqrt (/ 1 x)) y))) |
(* -1 (* (pow x 2) (pow (- 1 (* (sqrt (/ 1 x)) y)) 2))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow (- 1 (* (sqrt (/ 1 x)) y)) 2))) |
(* -1 (* x (+ 1 (* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) |
(* -1 (* x (- (+ 1 (* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (/ 1 x)))) |
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) |
(+ 1 (* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) |
(* x (+ 1 (+ (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x)))) |
(* -1 (* (pow x 2) (pow (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(/ (- 1 (pow x 2)) (+ 1 x)) |
(- (+ (* y (- (* 2 (* (sqrt (pow x 3)) (/ 1 (+ 1 x)))) (* -1 (* (sqrt x) (/ (- 1 (pow x 2)) (pow (+ 1 x) 2)))))) (/ 1 (+ 1 x))) (/ (pow x 2) (+ 1 x))) |
(- (+ (* y (- (+ (* 2 (* (sqrt (pow x 3)) (/ 1 (+ 1 x)))) (* y (- (* -1 (/ x (+ 1 x))) (* -1 (* (sqrt x) (/ (- (* 2 (* (sqrt (pow x 3)) (/ 1 (+ 1 x)))) (* -1 (* (sqrt x) (/ (- 1 (pow x 2)) (pow (+ 1 x) 2))))) (+ 1 x))))))) (* -1 (* (sqrt x) (/ (- 1 (pow x 2)) (pow (+ 1 x) 2)))))) (/ 1 (+ 1 x))) (/ (pow x 2) (+ 1 x))) |
(- (+ (* y (- (+ (* 2 (* (sqrt (pow x 3)) (/ 1 (+ 1 x)))) (* y (- (+ (* -1 (/ x (+ 1 x))) (* (sqrt x) (/ (* y (- (* -1 (/ x (+ 1 x))) (* -1 (* (sqrt x) (/ (- (* 2 (* (sqrt (pow x 3)) (/ 1 (+ 1 x)))) (* -1 (* (sqrt x) (/ (- 1 (pow x 2)) (pow (+ 1 x) 2))))) (+ 1 x)))))) (+ 1 x)))) (* -1 (* (sqrt x) (/ (- (* 2 (* (sqrt (pow x 3)) (/ 1 (+ 1 x)))) (* -1 (* (sqrt x) (/ (- 1 (pow x 2)) (pow (+ 1 x) 2))))) (+ 1 x))))))) (* -1 (* (sqrt x) (/ (- 1 (pow x 2)) (pow (+ 1 x) 2)))))) (/ 1 (+ 1 x))) (/ (pow x 2) (+ 1 x))) |
(* -1 y) |
(- 1 x) |
(- (+ 1 (* (sqrt x) y)) x) |
-1 |
(+ 1 x) |
(+ 1 (+ x (* -1 (* (sqrt x) y)))) |
(- 1 (pow x 2)) |
(- (+ 1 (* 2 (* (sqrt (pow x 3)) y))) (pow x 2)) |
(- (+ 1 (* y (- (* -1 (* x y)) (* -2 (sqrt (pow x 3)))))) (pow x 2)) |
(* y (+ (sqrt x) (+ (* -1 (/ x y)) (/ 1 y)))) |
(* y (- (+ (sqrt x) (* -2 (/ x y))) (* -1 (/ (+ 1 x) y)))) |
(* y (- (+ (sqrt x) (+ (* -2 (/ x y)) (* -1 (* (sqrt (/ 1 x)) (/ (- 1 (pow x 2)) (pow y 2)))))) (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (+ 1 x) (- (* -2 x) (* -1 (+ 1 x)))) (pow y 2)))) (* -1 (/ (+ 1 x) y))))) |
(* y (- (+ (sqrt x) (+ (* -2 (/ x y)) (+ (* -1 (* (sqrt (/ 1 x)) (/ (- 1 (pow x 2)) (pow y 2)))) (* (sqrt (/ 1 x)) (/ (* (+ 1 x) (- (* -1 (* (sqrt (/ 1 x)) (- 1 (pow x 2)))) (* -1 (* (sqrt (/ 1 x)) (* (+ 1 x) (- (* -2 x) (* -1 (+ 1 x)))))))) (pow y 3)))))) (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (+ 1 x) (- (* -2 x) (* -1 (+ 1 x)))) (pow y 2)))) (* -1 (/ (+ 1 x) y))))) |
(* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y))) |
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) |
(* y (- (sqrt (/ 1 x)) (/ 1 y))) |
(* y (+ (sqrt x) (* -1 (/ x y)))) |
(* -1 (* (sqrt x) y)) |
(* y (- (+ (/ 1 y) (/ x y)) (sqrt x))) |
(* (pow y 2) (- (* 2 (* (sqrt (pow x 3)) (/ 1 y))) x)) |
(* (pow y 2) (- (/ 1 (pow y 2)) (+ x (+ (* -2 (* (sqrt (pow x 3)) (/ 1 y))) (/ (pow x 2) (pow y 2)))))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 (* -1 x)) y))))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- (* -2 x) (* -1 (+ 1 x))) y))))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- (+ (* -2 x) (* -1 (/ (- (* (sqrt (/ 1 x)) (- 1 (pow x 2))) (* (sqrt (/ 1 x)) (* (+ 1 x) (- (* -2 x) (* -1 (+ 1 x)))))) y))) (* -1 (+ 1 x))) y))))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- (+ (* -2 x) (* -1 (/ (- (+ (* (sqrt (/ 1 x)) (- 1 (pow x 2))) (* (sqrt (/ 1 x)) (/ (* (+ 1 x) (- (* (sqrt (/ 1 x)) (- 1 (pow x 2))) (* (sqrt (/ 1 x)) (* (+ 1 x) (- (* -2 x) (* -1 (+ 1 x))))))) y))) (* (sqrt (/ 1 x)) (* (+ 1 x) (- (* -2 x) (* -1 (+ 1 x)))))) y))) (* -1 (+ 1 x))) y))))) |
(* -1 (* y (- (sqrt (/ 1 x)) (/ 1 y)))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))) |
(* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y)))) |
(* -1 (* y (+ (* -1 (sqrt x)) (/ x y)))) |
(* -1 (* y (- (* -1 (/ (+ 1 x) y)) (* -1 (sqrt x))))) |
(* (pow y 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow x 2)) y)) (* 2 (sqrt (pow x 3)))) y)) x)) |
| Outputs |
|---|
(+ 1 (* (sqrt x) y)) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
(/ (- 1 (* x (pow y 2))) (- 1 (* (sqrt x) y))) |
(/.f64 (fma.f64 (*.f64 y y) (neg.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))) |
(- (+ (* x (- (+ (* 2 (* (sqrt x) (/ y (- 1 (* (sqrt x) y))))) (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 2))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2)))) (/ 1 (- 1 (* (sqrt x) y)))) (/ (* x (pow y 2)) (- 1 (* (sqrt x) y)))) |
(fma.f64 (-.f64 (/.f64 (fma.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))) x (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 x) y))) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 2 binary64)))) x (/.f64 (fma.f64 (*.f64 y y) (neg.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))) |
(- (+ (* x (- (+ (* 2 (* (sqrt x) (/ y (- 1 (* (sqrt x) y))))) (+ (* x (- (/ 1 (pow (- 1 (* (sqrt x) y)) 3)) (+ (* 2 (* (sqrt x) (/ y (pow (- 1 (* (sqrt x) y)) 2)))) (+ (/ 1 (- 1 (* (sqrt x) y))) (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 3)))))) (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 2)))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2)))) (/ 1 (- 1 (* (sqrt x) y)))) (/ (* x (pow y 2)) (- 1 (* (sqrt x) y)))) |
(fma.f64 (fma.f64 x (fma.f64 y (/.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))) (/.f64 (fma.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))) x (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 x) y))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 2 binary64)))))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 2 binary64))))) x (/.f64 (fma.f64 (*.f64 y y) (neg.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))) |
(- (+ (* x (- (+ (* 2 (* (sqrt x) (/ y (- 1 (* (sqrt x) y))))) (+ (* x (- (+ (* x (- (+ (* 2 (* (sqrt x) (/ y (pow (- 1 (* (sqrt x) y)) 3)))) (+ (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 4)))) (/ 1 (pow (- 1 (* (sqrt x) y)) 4)))) (/ 1 (pow (- 1 (* (sqrt x) y)) 3))) (+ (* 2 (* (sqrt x) (/ y (pow (- 1 (* (sqrt x) y)) 2)))) (+ (/ 1 (- 1 (* (sqrt x) y))) (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 3)))))) (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 2)))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2)))) (/ 1 (- 1 (* (sqrt x) y)))) (/ (* x (pow y 2)) (- 1 (* (sqrt x) y)))) |
(fma.f64 (-.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 3 binary64)))) (sqrt.f64 x) (fma.f64 (*.f64 y y) (/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 4 binary64)))) x (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))) (/.f64 (fma.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))) x (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 x) y))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 2 binary64)))))) x (/.f64 (fma.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))) x (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 x) y))) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 2 binary64)))) x (/.f64 (fma.f64 (*.f64 y y) (neg.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))) |
(* -1 (* (sqrt (/ 1 x)) y)) |
(*.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/ (+ x (* -1 (* (sqrt x) y))) x) |
(/.f64 (-.f64 x (*.f64 (sqrt.f64 x) y)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(sqrt x) |
(sqrt.f64 x) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(/ (+ (* -1 x) (* (sqrt x) y)) x) |
(fma.f64 (sqrt.f64 x) (/.f64 y x) #s(literal -1 binary64)) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(+ (* -1 x) (* (sqrt x) y)) |
(fma.f64 (sqrt.f64 x) y (neg.f64 x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(- 1 (* (sqrt x) y)) |
(-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) |
(- (+ 1 x) (* (sqrt x) y)) |
(-.f64 x (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))) |
(- 1 (* x (pow y 2))) |
(fma.f64 (*.f64 y y) (neg.f64 x) #s(literal 1 binary64)) |
(- (+ 1 (* 2 (* (sqrt (pow x 3)) y))) (* x (pow y 2))) |
(fma.f64 (*.f64 #s(literal 2 binary64) y) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 y y) (neg.f64 x) #s(literal 1 binary64))) |
(- (+ 1 (* x (- (* -1 x) (* -2 (* (sqrt x) y))))) (* x (pow y 2))) |
(fma.f64 x (-.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 x) y) (neg.f64 x)) (*.f64 y y)) #s(literal 1 binary64)) |
(* -1 (* x (pow y 2))) |
(*.f64 (*.f64 (neg.f64 x) y) y) |
(* -1 (* x (+ 1 (* -1 (* (sqrt (/ 1 x)) y))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x) |
(* x (+ (* -1 (+ 1 (* -1 (* (sqrt (/ 1 x)) y)))) (/ 1 x))) |
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(* -1 (* x (- 1 (* (sqrt (/ 1 x)) y)))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x) |
(* x (+ (* -1 (- 1 (* (sqrt (/ 1 x)) y))) (/ 1 x))) |
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* -1 (* (sqrt (/ 1 x)) y))) |
(fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(* x (- (* (sqrt (/ 1 x)) y) 1)) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x) |
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)) |
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ 1 x) 1)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x) |
(- (* (sqrt (/ 1 x)) y) 1) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) |
(* x (- 1 (* (sqrt (/ 1 x)) y))) |
(fma.f64 (*.f64 (neg.f64 x) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) |
(* x (- (+ 1 (/ 1 x)) (* (sqrt (/ 1 x)) y))) |
(fma.f64 (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(* -1 (* (pow x 2) (pow (- 1 (* (sqrt (/ 1 x)) y)) 2))) |
(*.f64 (*.f64 (neg.f64 x) x) (pow.f64 (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow (- 1 (* (sqrt (/ 1 x)) y)) 2))) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (pow.f64 (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 x x)) |
(* -1 (* x (+ 1 (* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) |
(*.f64 (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) x) |
(* -1 (* x (- (+ 1 (* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (/ 1 x)))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) (neg.f64 x)) |
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x) |
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y (/.f64 #s(literal 1 binary64) x))) (neg.f64 x)) |
(+ 1 (* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal 1 binary64)) |
(* -1 (* x (- 1 (/ 1 x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) |
(fma.f64 (*.f64 (neg.f64 x) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) |
(* x (+ 1 (+ (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x)))) |
(fma.f64 (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(* -1 (* (pow x 2) (pow (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) |
(*.f64 (*.f64 (neg.f64 x) x) (pow.f64 (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (pow.f64 (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 x x)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 (sqrt.f64 x) y) |
(/ (- 1 (pow x 2)) (+ 1 x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) |
(- (+ (* y (- (* 2 (* (sqrt (pow x 3)) (/ 1 (+ 1 x)))) (* -1 (* (sqrt x) (/ (- 1 (pow x 2)) (pow (+ 1 x) 2)))))) (/ 1 (+ 1 x))) (/ (pow x 2) (+ 1 x))) |
(fma.f64 (/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) x)) y (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))) |
(- (+ (* y (- (+ (* 2 (* (sqrt (pow x 3)) (/ 1 (+ 1 x)))) (* y (- (* -1 (/ x (+ 1 x))) (* -1 (* (sqrt x) (/ (- (* 2 (* (sqrt (pow x 3)) (/ 1 (+ 1 x)))) (* -1 (* (sqrt x) (/ (- 1 (pow x 2)) (pow (+ 1 x) 2))))) (+ 1 x))))))) (* -1 (* (sqrt x) (/ (- 1 (pow x 2)) (pow (+ 1 x) 2)))))) (/ 1 (+ 1 x))) (/ (pow x 2) (+ 1 x))) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x) (neg.f64 x)) (+.f64 #s(literal 1 binary64) x)) y (/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) x))) y (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))) |
(- (+ (* y (- (+ (* 2 (* (sqrt (pow x 3)) (/ 1 (+ 1 x)))) (* y (- (+ (* -1 (/ x (+ 1 x))) (* (sqrt x) (/ (* y (- (* -1 (/ x (+ 1 x))) (* -1 (* (sqrt x) (/ (- (* 2 (* (sqrt (pow x 3)) (/ 1 (+ 1 x)))) (* -1 (* (sqrt x) (/ (- 1 (pow x 2)) (pow (+ 1 x) 2))))) (+ 1 x)))))) (+ 1 x)))) (* -1 (* (sqrt x) (/ (- (* 2 (* (sqrt (pow x 3)) (/ 1 (+ 1 x)))) (* -1 (* (sqrt x) (/ (- 1 (pow x 2)) (pow (+ 1 x) 2))))) (+ 1 x))))))) (* -1 (* (sqrt x) (/ (- 1 (pow x 2)) (pow (+ 1 x) 2)))))) (/ 1 (+ 1 x))) (/ (pow x 2) (+ 1 x))) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x) (fma.f64 (*.f64 (sqrt.f64 x) y) (/.f64 (fma.f64 (/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x) (neg.f64 x)) (+.f64 #s(literal 1 binary64) x)) (neg.f64 x))) (+.f64 #s(literal 1 binary64) x)) y (/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) x))) y (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))) |
(* -1 y) |
(neg.f64 y) |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
(- (+ 1 (* (sqrt x) y)) x) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
-1 |
#s(literal -1 binary64) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 (+ x (* -1 (* (sqrt x) y)))) |
(-.f64 x (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))) |
(- 1 (pow x 2)) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
(- (+ 1 (* 2 (* (sqrt (pow x 3)) y))) (pow x 2)) |
(fma.f64 (*.f64 #s(literal 2 binary64) y) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
(- (+ 1 (* y (- (* -1 (* x y)) (* -2 (sqrt (pow x 3)))))) (pow x 2)) |
(-.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 x y)) y (*.f64 x x))) |
(* y (+ (sqrt x) (+ (* -1 (/ x y)) (/ 1 y)))) |
(fma.f64 (-.f64 (sqrt.f64 x) (/.f64 x y)) y #s(literal 1 binary64)) |
(* y (- (+ (sqrt x) (* -2 (/ x y))) (* -1 (/ (+ 1 x) y)))) |
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x (+.f64 #s(literal 1 binary64) x)) y) (sqrt.f64 x)) y) |
(* y (- (+ (sqrt x) (+ (* -2 (/ x y)) (* -1 (* (sqrt (/ 1 x)) (/ (- 1 (pow x 2)) (pow y 2)))))) (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (+ 1 x) (- (* -2 x) (* -1 (+ 1 x)))) (pow y 2)))) (* -1 (/ (+ 1 x) y))))) |
(*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) (sqrt.f64 x)) (/.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (fma.f64 #s(literal -2 binary64) x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)))) y)) y)) (/.f64 (-.f64 #s(literal -1 binary64) x) y)) y) |
(* y (- (+ (sqrt x) (+ (* -2 (/ x y)) (+ (* -1 (* (sqrt (/ 1 x)) (/ (- 1 (pow x 2)) (pow y 2)))) (* (sqrt (/ 1 x)) (/ (* (+ 1 x) (- (* -1 (* (sqrt (/ 1 x)) (- 1 (pow x 2)))) (* -1 (* (sqrt (/ 1 x)) (* (+ 1 x) (- (* -2 x) (* -1 (+ 1 x)))))))) (pow y 3)))))) (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (+ 1 x) (- (* -2 x) (* -1 (+ 1 x)))) (pow y 2)))) (* -1 (/ (+ 1 x) y))))) |
(*.f64 (-.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) y) y) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (fma.f64 #s(literal -2 binary64) x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x))))) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (/.f64 x y) #s(literal -2 binary64) (sqrt.f64 x))) (neg.f64 (/.f64 (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (fma.f64 #s(literal -2 binary64) x (+.f64 #s(literal 1 binary64) x)) y) (+.f64 #s(literal 1 binary64) x)) y))) y) |
(* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y))) |
(fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) |
(fma.f64 (-.f64 (sqrt.f64 x) (/.f64 x y)) y #s(literal 1 binary64)) |
(* y (- (sqrt (/ 1 x)) (/ 1 y))) |
(*.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y)) y) |
(* y (+ (sqrt x) (* -1 (/ x y)))) |
(*.f64 (-.f64 (sqrt.f64 x) (/.f64 x y)) y) |
(* -1 (* (sqrt x) y)) |
(*.f64 (neg.f64 y) (sqrt.f64 x)) |
(* y (- (+ (/ 1 y) (/ x y)) (sqrt x))) |
(*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) (sqrt.f64 x)) y) |
(* (pow y 2) (- (* 2 (* (sqrt (pow x 3)) (/ 1 y))) x)) |
(*.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) y) (neg.f64 x)) (*.f64 y y)) |
(* (pow y 2) (- (/ 1 (pow y 2)) (+ x (+ (* -2 (* (sqrt (pow x 3)) (/ 1 y))) (/ (pow x 2) (pow y 2)))))) |
(*.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x) (/.f64 (fma.f64 #s(literal -2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 x (/.f64 x y))) y)) (*.f64 y y)) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 (* -1 x)) y))))) |
(fma.f64 (-.f64 (sqrt.f64 x) (/.f64 x y)) y #s(literal 1 binary64)) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- (* -2 x) (* -1 (+ 1 x))) y))))) |
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x (+.f64 #s(literal 1 binary64) x)) y) (sqrt.f64 x)) y) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- (+ (* -2 x) (* -1 (/ (- (* (sqrt (/ 1 x)) (- 1 (pow x 2))) (* (sqrt (/ 1 x)) (* (+ 1 x) (- (* -2 x) (* -1 (+ 1 x)))))) y))) (* -1 (+ 1 x))) y))))) |
(*.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (fma.f64 #s(literal -2 binary64) x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)))) y) (fma.f64 #s(literal -2 binary64) x (+.f64 #s(literal 1 binary64) x))) y) (sqrt.f64 x)) y) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- (+ (* -2 x) (* -1 (/ (- (+ (* (sqrt (/ 1 x)) (- 1 (pow x 2))) (* (sqrt (/ 1 x)) (/ (* (+ 1 x) (- (* (sqrt (/ 1 x)) (- 1 (pow x 2))) (* (sqrt (/ 1 x)) (* (+ 1 x) (- (* -2 x) (* -1 (+ 1 x))))))) y))) (* (sqrt (/ 1 x)) (* (+ 1 x) (- (* -2 x) (* -1 (+ 1 x)))))) y))) (* -1 (+ 1 x))) y))))) |
(*.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (fma.f64 #s(literal -2 binary64) x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)))) y)) (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (fma.f64 #s(literal -2 binary64) x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)))) y) (fma.f64 #s(literal 2 binary64) x (-.f64 #s(literal -1 binary64) x))) y) #s(literal -1 binary64) (sqrt.f64 x)) y) |
(* -1 (* y (- (sqrt (/ 1 x)) (/ 1 y)))) |
(*.f64 (neg.f64 y) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))) |
(fma.f64 (-.f64 (sqrt.f64 x) (/.f64 x y)) y #s(literal 1 binary64)) |
(* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) |
(* -1 (* y (+ (* -1 (sqrt x)) (/ x y)))) |
(*.f64 (-.f64 (sqrt.f64 x) (/.f64 x y)) y) |
(* -1 (* y (- (* -1 (/ (+ 1 x) y)) (* -1 (sqrt x))))) |
(*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) (sqrt.f64 x)) y) |
(* (pow y 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow x 2)) y)) (* 2 (sqrt (pow x 3)))) y)) x)) |
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) y)) (neg.f64 y)) x) (*.f64 y y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 202 |
| 0 | 58 | 187 |
| 1 | 221 | 165 |
| 0 | 1649 | 162 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (neg.f64 x) #s(literal 1 binary64)) |
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (fma.f64 (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (neg.f64 x) #s(literal 1 binary64))) |
(fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(neg.f64 y) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64))) |
#s(approx (- 1 x) #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) #s(literal 1 binary64))) |
(sqrt.f64 x) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y #s(literal -1 binary64)) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y #s(literal -1 binary64)) x)) |
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y #s(literal -1 binary64)) x) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (sqrt.f64 x) y))) |
(/.f64 #s(approx (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (*.f64 (*.f64 (neg.f64 x) y) y)) (+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (sqrt.f64 x) y)))) |
#s(approx (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (*.f64 (*.f64 (neg.f64 x) y) y)) |
(*.f64 (*.f64 (neg.f64 x) y) y) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (sqrt.f64 x) y) |
| Outputs |
|---|
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x)))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x)))) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x))) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x)))) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x))))) (pow.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x)))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x))) #s(literal -1 binary64))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x)))) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x)))) #s(literal 2 binary64)) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x))))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x)))) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x))))) (pow.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x)))) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x)))) #s(literal -1 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x)))) x #s(literal 1 binary64)) |
(fma.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x)))) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x))) #s(literal 1 binary64)) |
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x))) (*.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x))) (neg.f64 x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x)))) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x))) #s(literal -1 binary64)))) |
(-.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x)))) #s(literal -1 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x))))) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x)))) (neg.f64 x))) |
(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x))) x)) |
(+.f64 (/.f64 (pow.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x)))) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x))))) (pow.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x)))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x))))) (pow.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x)))) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x)))) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x))))) |
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (fma.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x))) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (sqrt.f64 x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (neg.f64 y) (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 y (sqrt.f64 x))) (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64) #s(literal -1 binary64))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (neg.f64 y) (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal 2 binary64)) (/.f64 (neg.f64 y) (sqrt.f64 x))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (neg.f64 y) (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 y (sqrt.f64 x))) (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 (/.f64 (neg.f64 y) (sqrt.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) y #s(literal 1 binary64)) |
(fma.f64 (/.f64 (neg.f64 y) (sqrt.f64 x)) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (neg.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 y) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (sqrt.f64 x)) #s(literal 1 binary64)) |
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(neg.f64 (*.f64 x (*.f64 y y))) |
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) |
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) |
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 x #s(literal -1/2 binary64)) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 x)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) |
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x)))) |
(sqrt.f64 (pow.f64 x #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 x) y) |
(*.f64 y (sqrt.f64 x)) |
Compiled 8 692 to 931 computations (89.3% saved)
14 alts after pruning (11 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 235 | 7 | 242 |
| Fresh | 4 | 4 | 8 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 242 | 14 | 256 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 72.1% | (fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x))) |
| ✓ | 67.0% | (fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) #s(literal 1 binary64))) |
| ▶ | 17.9% | (/.f64 #s(approx (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (*.f64 (*.f64 (neg.f64 x) y) y)) #s(approx (+ 1 (- x (* (sqrt x) y))) (*.f64 (neg.f64 y) (sqrt.f64 x)))) |
| ▶ | 93.2% | #s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x))) (neg.f64 x) #s(literal 1 binary64))) |
| 67.1% | #s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))) | |
| 38.1% | #s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (/.f64 (fma.f64 (*.f64 y y) (neg.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))) | |
| 65.5% | #s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (*.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) y #s(literal -1 binary64)) x)) | |
| 50.6% | #s(approx (+ (- 1 x) (* y (sqrt x))) (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (-.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64)))) | |
| ✓ | 61.1% | #s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) |
| 65.5% | #s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (+.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64)) x)) | |
| ▶ | 33.9% | #s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(approx (+ (* (/ 1 (sqrt x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) x)) |
| ▶ | 33.9% | #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) |
| ✓ | 28.4% | #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64))) |
| 40.6% | #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (+ (* (/ 1 (sqrt x)) y) -1) x) (*.f64 (sqrt.f64 x) y))) |
Compiled 629 to 368 computations (41.5% saved)
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (neg.f64 x) y) | |
| cost-diff | 0 | (*.f64 (*.f64 (neg.f64 x) y) y) | |
| cost-diff | 0 | #s(approx (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (*.f64 (*.f64 (neg.f64 x) y) y)) | |
| cost-diff | 0 | (/.f64 #s(approx (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (*.f64 (*.f64 (neg.f64 x) y) y)) #s(approx (+ 1 (- x (* (sqrt x) y))) (*.f64 (neg.f64 y) (sqrt.f64 x)))) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) | |
| cost-diff | 0 | #s(approx (+ (* (/ 1 (sqrt x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (/ 1 (sqrt x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) x) | |
| cost-diff | 0 | #s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(approx (+ (* (/ 1 (sqrt x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) x)) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | #s(approx (- 1 x) (neg.f64 x)) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x))) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | #s(approx (- 1 x) (neg.f64 x)) | |
| cost-diff | 0 | #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) | |
| cost-diff | 0 | (/.f64 y (sqrt.f64 x)) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x))) | |
| cost-diff | 0 | #s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x))) (neg.f64 x) #s(literal 1 binary64))) | |
| cost-diff | 1 | (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x))) (neg.f64 x) #s(literal 1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 278 |
| 0 | 58 | 278 |
| 1 | 102 | 272 |
| 2 | 206 | 272 |
| 3 | 633 | 272 |
| 4 | 2352 | 272 |
| 5 | 7688 | 272 |
| 0 | 8010 | 262 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x))) (neg.f64 x) #s(literal 1 binary64))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x))) (neg.f64 x) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x))) |
#s(literal 1 binary64) |
(/.f64 y (sqrt.f64 x)) |
y |
(sqrt.f64 x) |
x |
(neg.f64 x) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) |
#s(approx (- 1 x) (neg.f64 x)) |
(neg.f64 x) |
x |
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x))) |
(sqrt.f64 x) |
x |
y |
#s(approx (- 1 x) (neg.f64 x)) |
(neg.f64 x) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(approx (+ (* (/ 1 (sqrt x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) x)) |
(*.f64 #s(approx (+ (* (/ 1 (sqrt x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) x) |
#s(approx (+ (* (/ 1 (sqrt x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
y |
(/.f64 #s(approx (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (*.f64 (*.f64 (neg.f64 x) y) y)) #s(approx (+ 1 (- x (* (sqrt x) y))) (*.f64 (neg.f64 y) (sqrt.f64 x)))) |
#s(approx (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (*.f64 (*.f64 (neg.f64 x) y) y)) |
(*.f64 (*.f64 (neg.f64 x) y) y) |
(*.f64 (neg.f64 x) y) |
(neg.f64 x) |
x |
y |
#s(approx (+ 1 (- x (* (sqrt x) y))) (*.f64 (neg.f64 y) (sqrt.f64 x))) |
(*.f64 (neg.f64 y) (sqrt.f64 x)) |
(neg.f64 y) |
(sqrt.f64 x) |
| Outputs |
|---|
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x))) (neg.f64 x) #s(literal 1 binary64))) |
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (fma.f64 (-.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) x #s(literal 1 binary64))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x))) (neg.f64 x) #s(literal 1 binary64)) |
(fma.f64 (-.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x))) |
#s(literal 1 binary64) |
(/.f64 y (sqrt.f64 x)) |
y |
(sqrt.f64 x) |
x |
(neg.f64 x) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) |
#s(approx (- 1 x) (neg.f64 x)) |
(neg.f64 x) |
x |
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x))) |
(sqrt.f64 x) |
x |
y |
#s(approx (- 1 x) (neg.f64 x)) |
(neg.f64 x) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(approx (+ (* (/ 1 (sqrt x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) x)) |
(*.f64 #s(approx (+ (* (/ 1 (sqrt x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) x) |
#s(approx (+ (* (/ 1 (sqrt x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
y |
(/.f64 #s(approx (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (*.f64 (*.f64 (neg.f64 x) y) y)) #s(approx (+ 1 (- x (* (sqrt x) y))) (*.f64 (neg.f64 y) (sqrt.f64 x)))) |
(/.f64 #s(approx (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (*.f64 (*.f64 (neg.f64 y) y) x)) #s(approx (+ 1 (- x (* (sqrt x) y))) (*.f64 (neg.f64 y) (sqrt.f64 x)))) |
#s(approx (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (*.f64 (*.f64 (neg.f64 x) y) y)) |
#s(approx (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (*.f64 (*.f64 (neg.f64 y) y) x)) |
(*.f64 (*.f64 (neg.f64 x) y) y) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(*.f64 (neg.f64 x) y) |
(neg.f64 x) |
x |
y |
#s(approx (+ 1 (- x (* (sqrt x) y))) (*.f64 (neg.f64 y) (sqrt.f64 x))) |
(*.f64 (neg.f64 y) (sqrt.f64 x)) |
(neg.f64 y) |
(sqrt.f64 x) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.22265625 | (*.f64 (neg.f64 y) (sqrt.f64 x)) | |
| accuracy | 24.028293548090957 | (/.f64 #s(approx (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (*.f64 (*.f64 (neg.f64 x) y) y)) #s(approx (+ 1 (- x (* (sqrt x) y))) (*.f64 (neg.f64 y) (sqrt.f64 x)))) | |
| accuracy | 37.03524868799458 | #s(approx (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (*.f64 (*.f64 (neg.f64 x) y) y)) | |
| accuracy | 38.05051665849684 | #s(approx (+ 1 (- x (* (sqrt x) y))) (*.f64 (neg.f64 y) (sqrt.f64 x))) | |
| accuracy | 0.26953125 | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) | |
| accuracy | 4.38257273007972 | (*.f64 #s(approx (+ (* (/ 1 (sqrt x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) x) | |
| accuracy | 17.72531149085747 | #s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(approx (+ (* (/ 1 (sqrt x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) x)) | |
| accuracy | 30.04165124391831 | #s(approx (+ (* (/ 1 (sqrt x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) | |
| accuracy | 0.0 | (sqrt.f64 x) | |
| accuracy | 0.0 | (neg.f64 x) | |
| accuracy | 0.1171875 | (fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x))) | |
| accuracy | 30.053424277562996 | #s(approx (- 1 x) (neg.f64 x)) | |
| accuracy | 0.0 | (neg.f64 x) | |
| accuracy | 24.877854860681232 | #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) | |
| accuracy | 30.053424277562996 | #s(approx (- 1 x) (neg.f64 x)) | |
| accuracy | 0.0 | #s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x))) (neg.f64 x) #s(literal 1 binary64))) | |
| accuracy | 0.00390625 | (-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x))) | |
| accuracy | 0.22265625 | (/.f64 y (sqrt.f64 x)) | |
| accuracy | 4.34351023007972 | (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x))) (neg.f64 x) #s(literal 1 binary64)) |
| 77.0ms | 256× | 0 | valid |
Compiled 197 to 33 computations (83.2% saved)
ival-add: 27.0ms (43.8% of total)ival-mult: 18.0ms (29.2% of total)ival-div: 6.0ms (9.7% of total)ival-sub: 4.0ms (6.5% of total)ival-sqrt: 4.0ms (6.5% of total)ival-neg: 2.0ms (3.2% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x))) (neg.f64 x) #s(literal 1 binary64)) |
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x))) (neg.f64 x) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x))) |
(/.f64 y (sqrt.f64 x)) |
#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))) |
(sqrt.f64 x) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(approx (+ (* (/ 1 (sqrt x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) x)) |
(*.f64 #s(approx (+ (* (/ 1 (sqrt x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) x) |
#s(approx (+ (* (/ 1 (sqrt x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(/.f64 #s(approx (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (*.f64 (*.f64 (neg.f64 x) y) y)) #s(approx (+ 1 (- x (* (sqrt x) y))) (*.f64 (neg.f64 y) (sqrt.f64 x)))) |
#s(approx (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (*.f64 (*.f64 (neg.f64 x) y) y)) |
(*.f64 (*.f64 (neg.f64 x) y) y) |
(*.f64 (neg.f64 x) y) |
#s(approx (+ 1 (- x (* (sqrt x) y))) (*.f64 (neg.f64 y) (sqrt.f64 x))) |
(*.f64 (neg.f64 y) (sqrt.f64 x)) |
| Outputs |
|---|
(+ 1 (* (sqrt x) y)) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(/ (- 1 (* x (pow y 2))) (- 1 (* (sqrt x) y))) |
(- (+ (* x (- (+ (* 2 (* (sqrt x) (/ y (- 1 (* (sqrt x) y))))) (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 2))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2)))) (/ 1 (- 1 (* (sqrt x) y)))) (/ (* x (pow y 2)) (- 1 (* (sqrt x) y)))) |
(- (+ (* x (- (+ (* 2 (* (sqrt x) (/ y (- 1 (* (sqrt x) y))))) (+ (* x (- (/ 1 (pow (- 1 (* (sqrt x) y)) 3)) (+ (* 2 (* (sqrt x) (/ y (pow (- 1 (* (sqrt x) y)) 2)))) (+ (/ 1 (- 1 (* (sqrt x) y))) (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 3)))))) (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 2)))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2)))) (/ 1 (- 1 (* (sqrt x) y)))) (/ (* x (pow y 2)) (- 1 (* (sqrt x) y)))) |
(- (+ (* x (- (+ (* 2 (* (sqrt x) (/ y (- 1 (* (sqrt x) y))))) (+ (* x (- (+ (* x (- (+ (* 2 (* (sqrt x) (/ y (pow (- 1 (* (sqrt x) y)) 3)))) (+ (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 4)))) (/ 1 (pow (- 1 (* (sqrt x) y)) 4)))) (/ 1 (pow (- 1 (* (sqrt x) y)) 3))) (+ (* 2 (* (sqrt x) (/ y (pow (- 1 (* (sqrt x) y)) 2)))) (+ (/ 1 (- 1 (* (sqrt x) y))) (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 3)))))) (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 2)))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2)))) (/ 1 (- 1 (* (sqrt x) y)))) (/ (* x (pow y 2)) (- 1 (* (sqrt x) y)))) |
(* -1 (* (sqrt (/ 1 x)) y)) |
(/ (- x (* (sqrt x) y)) x) |
(* (sqrt (/ 1 x)) y) |
1 |
(+ 1 (* -1 x)) |
(* -1 x) |
(sqrt x) |
(* (sqrt x) y) |
(+ (* -1 x) (* (sqrt x) y)) |
(/ (+ (* -1 x) (* (sqrt x) y)) x) |
(- 1 (* x (pow y 2))) |
(- (+ 1 (* 2 (* (sqrt (pow x 3)) y))) (* x (pow y 2))) |
(- (+ 1 (* x (- (* -1 x) (* -2 (* (sqrt x) y))))) (* x (pow y 2))) |
(* -1 (* x (pow y 2))) |
(* -1 (* x y)) |
(- 1 (* (sqrt x) y)) |
(- (+ 1 x) (* (sqrt x) y)) |
(* -1 (* (sqrt x) y)) |
(* -1 (* x (- 1 (* (sqrt (/ 1 x)) y)))) |
(* x (+ (* -1 (- 1 (* (sqrt (/ 1 x)) y))) (/ 1 x))) |
(- 1 (* (sqrt (/ 1 x)) y)) |
(* x (- (* (sqrt (/ 1 x)) y) 1)) |
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)) |
(* x (- (/ 1 x) 1)) |
(- (* (sqrt (/ 1 x)) y) 1) |
(* -1 (* (pow x 2) (pow (- 1 (* (sqrt (/ 1 x)) y)) 2))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow (- 1 (* (sqrt (/ 1 x)) y)) 2))) |
(* x (- 1 (* (sqrt (/ 1 x)) y))) |
(* x (- (+ 1 (/ 1 x)) (* (sqrt (/ 1 x)) y))) |
(* -1 (* x (- 1 (+ (* (sqrt (/ 1 x)) y) (/ 1 x))))) |
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) |
(* -1 (* (pow x 2) (pow (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) |
(* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) |
(* x (+ 1 (+ (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x)))) |
(* (sqrt x) (* y (pow (sqrt -1) 2))) |
(/ (- 1 (pow x 2)) (+ 1 x)) |
(- (+ (* y (- (* 2 (* (sqrt (pow x 3)) (/ 1 (+ 1 x)))) (* -1 (* (sqrt x) (/ (- 1 (pow x 2)) (pow (+ 1 x) 2)))))) (/ 1 (+ 1 x))) (/ (pow x 2) (+ 1 x))) |
(- (+ (* y (- (+ (* 2 (* (sqrt (pow x 3)) (/ 1 (+ 1 x)))) (* y (- (* -1 (/ x (+ 1 x))) (* -1 (* (sqrt x) (/ (- (* 2 (* (sqrt (pow x 3)) (/ 1 (+ 1 x)))) (* -1 (* (sqrt x) (/ (- 1 (pow x 2)) (pow (+ 1 x) 2))))) (+ 1 x))))))) (* -1 (* (sqrt x) (/ (- 1 (pow x 2)) (pow (+ 1 x) 2)))))) (/ 1 (+ 1 x))) (/ (pow x 2) (+ 1 x))) |
(- (+ (* y (- (+ (* 2 (* (sqrt (pow x 3)) (/ 1 (+ 1 x)))) (* y (- (+ (* -1 (/ x (+ 1 x))) (* (sqrt x) (/ (* y (- (* -1 (/ x (+ 1 x))) (* -1 (* (sqrt x) (/ (- (* 2 (* (sqrt (pow x 3)) (/ 1 (+ 1 x)))) (* -1 (* (sqrt x) (/ (- 1 (pow x 2)) (pow (+ 1 x) 2))))) (+ 1 x)))))) (+ 1 x)))) (* -1 (* (sqrt x) (/ (- (* 2 (* (sqrt (pow x 3)) (/ 1 (+ 1 x)))) (* -1 (* (sqrt x) (/ (- 1 (pow x 2)) (pow (+ 1 x) 2))))) (+ 1 x))))))) (* -1 (* (sqrt x) (/ (- 1 (pow x 2)) (pow (+ 1 x) 2)))))) (/ 1 (+ 1 x))) (/ (pow x 2) (+ 1 x))) |
(+ 1 (* -1 (* (sqrt (/ 1 x)) y))) |
(- 1 x) |
(- (+ 1 (* (sqrt x) y)) x) |
-1 |
(- 1 (pow x 2)) |
(- (+ 1 (* 2 (* (sqrt (pow x 3)) y))) (pow x 2)) |
(- (+ 1 (* y (- (* -1 (* x y)) (* -2 (sqrt (pow x 3)))))) (pow x 2)) |
(+ 1 x) |
(+ 1 (+ x (* -1 (* (sqrt x) y)))) |
(* y (+ (sqrt x) (+ (* -1 (/ x y)) (/ 1 y)))) |
(* y (- (+ (sqrt x) (* -2 (/ x y))) (* -1 (/ (+ 1 x) y)))) |
(* y (- (+ (sqrt x) (+ (* -2 (/ x y)) (* -1 (* (sqrt (/ 1 x)) (/ (- 1 (pow x 2)) (pow y 2)))))) (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (+ 1 x) (- (* -2 x) (* -1 (+ 1 x)))) (pow y 2)))) (* -1 (/ (+ 1 x) y))))) |
(* y (- (+ (sqrt x) (+ (* -2 (/ x y)) (+ (* -1 (* (sqrt (/ 1 x)) (/ (- 1 (pow x 2)) (pow y 2)))) (* (sqrt (/ 1 x)) (/ (* (+ 1 x) (- (* -1 (* (sqrt (/ 1 x)) (- 1 (pow x 2)))) (* -1 (* (sqrt (/ 1 x)) (* (+ 1 x) (- (* -2 x) (* -1 (+ 1 x)))))))) (pow y 3)))))) (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (+ 1 x) (- (* -2 x) (* -1 (+ 1 x)))) (pow y 2)))) (* -1 (/ (+ 1 x) y))))) |
(* y (- (/ 1 y) (sqrt (/ 1 x)))) |
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) |
(* y (+ (sqrt x) (* -1 (/ x y)))) |
(* y (- (sqrt (/ 1 x)) (/ 1 y))) |
(* (pow y 2) (- (* 2 (* (sqrt (pow x 3)) (/ 1 y))) x)) |
(* (pow y 2) (- (/ 1 (pow y 2)) (+ x (+ (* -2 (* (sqrt (pow x 3)) (/ 1 y))) (/ (pow x 2) (pow y 2)))))) |
(* y (- (+ (/ 1 y) (/ x y)) (sqrt x))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 (* -1 x)) y))))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- (* -2 x) (* -1 (+ 1 x))) y))))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- (+ (* -2 x) (* -1 (/ (- (* (sqrt (/ 1 x)) (- 1 (pow x 2))) (* (sqrt (/ 1 x)) (* (+ 1 x) (- (* -2 x) (* -1 (+ 1 x)))))) y))) (* -1 (+ 1 x))) y))))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- (+ (* -2 x) (* -1 (/ (- (+ (* (sqrt (/ 1 x)) (- 1 (pow x 2))) (* (sqrt (/ 1 x)) (/ (* (+ 1 x) (- (* (sqrt (/ 1 x)) (- 1 (pow x 2))) (* (sqrt (/ 1 x)) (* (+ 1 x) (- (* -2 x) (* -1 (+ 1 x))))))) y))) (* (sqrt (/ 1 x)) (* (+ 1 x) (- (* -2 x) (* -1 (+ 1 x)))))) y))) (* -1 (+ 1 x))) y))))) |
(* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))) |
(* -1 (* y (+ (* -1 (sqrt x)) (/ x y)))) |
(* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y)))) |
(* (pow y 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow x 2)) y)) (* 2 (sqrt (pow x 3)))) y)) x)) |
(* -1 (* y (- (* -1 (/ (+ 1 x) y)) (* -1 (sqrt x))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | ((+ (* (- 1 (/ y (sqrt x))) (neg x)) 1) (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (- 1 (/ y (sqrt x))) (/ y (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (neg x) (+ (* (sqrt x) y) (- 1 x)) (sqrt x) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (/ 1 (sqrt x)) y) -1) x) (+ (* (/ 1 (sqrt x)) y) -1) (* (sqrt (/ 1 x)) y) (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (* (* (neg x) y) y) (* (neg x) y) (+ 1 (- x (* (sqrt x) y))) (* (neg y) (sqrt x))) |
| 3.0ms | x | @ | inf | ((+ (* (- 1 (/ y (sqrt x))) (neg x)) 1) (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (- 1 (/ y (sqrt x))) (/ y (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (neg x) (+ (* (sqrt x) y) (- 1 x)) (sqrt x) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (/ 1 (sqrt x)) y) -1) x) (+ (* (/ 1 (sqrt x)) y) -1) (* (sqrt (/ 1 x)) y) (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (* (* (neg x) y) y) (* (neg x) y) (+ 1 (- x (* (sqrt x) y))) (* (neg y) (sqrt x))) |
| 3.0ms | y | @ | 0 | ((+ (* (- 1 (/ y (sqrt x))) (neg x)) 1) (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (- 1 (/ y (sqrt x))) (/ y (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (neg x) (+ (* (sqrt x) y) (- 1 x)) (sqrt x) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (/ 1 (sqrt x)) y) -1) x) (+ (* (/ 1 (sqrt x)) y) -1) (* (sqrt (/ 1 x)) y) (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (* (* (neg x) y) y) (* (neg x) y) (+ 1 (- x (* (sqrt x) y))) (* (neg y) (sqrt x))) |
| 3.0ms | x | @ | 0 | ((+ (* (- 1 (/ y (sqrt x))) (neg x)) 1) (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (- 1 (/ y (sqrt x))) (/ y (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (neg x) (+ (* (sqrt x) y) (- 1 x)) (sqrt x) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (/ 1 (sqrt x)) y) -1) x) (+ (* (/ 1 (sqrt x)) y) -1) (* (sqrt (/ 1 x)) y) (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (* (* (neg x) y) y) (* (neg x) y) (+ 1 (- x (* (sqrt x) y))) (* (neg y) (sqrt x))) |
| 2.0ms | y | @ | -inf | ((+ (* (- 1 (/ y (sqrt x))) (neg x)) 1) (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (- 1 (/ y (sqrt x))) (/ y (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (neg x) (+ (* (sqrt x) y) (- 1 x)) (sqrt x) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (/ 1 (sqrt x)) y) -1) x) (+ (* (/ 1 (sqrt x)) y) -1) (* (sqrt (/ 1 x)) y) (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (* (* (neg x) y) y) (* (neg x) y) (+ 1 (- x (* (sqrt x) y))) (* (neg y) (sqrt x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 311 | 1564 |
| 1 | 961 | 1467 |
| 2 | 4057 | 1411 |
| 0 | 8257 | 1329 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ 1 (* (sqrt x) y)) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(/ (- 1 (* x (pow y 2))) (- 1 (* (sqrt x) y))) |
(- (+ (* x (- (+ (* 2 (* (sqrt x) (/ y (- 1 (* (sqrt x) y))))) (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 2))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2)))) (/ 1 (- 1 (* (sqrt x) y)))) (/ (* x (pow y 2)) (- 1 (* (sqrt x) y)))) |
(- (+ (* x (- (+ (* 2 (* (sqrt x) (/ y (- 1 (* (sqrt x) y))))) (+ (* x (- (/ 1 (pow (- 1 (* (sqrt x) y)) 3)) (+ (* 2 (* (sqrt x) (/ y (pow (- 1 (* (sqrt x) y)) 2)))) (+ (/ 1 (- 1 (* (sqrt x) y))) (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 3)))))) (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 2)))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2)))) (/ 1 (- 1 (* (sqrt x) y)))) (/ (* x (pow y 2)) (- 1 (* (sqrt x) y)))) |
(- (+ (* x (- (+ (* 2 (* (sqrt x) (/ y (- 1 (* (sqrt x) y))))) (+ (* x (- (+ (* x (- (+ (* 2 (* (sqrt x) (/ y (pow (- 1 (* (sqrt x) y)) 3)))) (+ (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 4)))) (/ 1 (pow (- 1 (* (sqrt x) y)) 4)))) (/ 1 (pow (- 1 (* (sqrt x) y)) 3))) (+ (* 2 (* (sqrt x) (/ y (pow (- 1 (* (sqrt x) y)) 2)))) (+ (/ 1 (- 1 (* (sqrt x) y))) (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 3)))))) (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 2)))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2)))) (/ 1 (- 1 (* (sqrt x) y)))) (/ (* x (pow y 2)) (- 1 (* (sqrt x) y)))) |
(* -1 (* (sqrt (/ 1 x)) y)) |
(/ (- x (* (sqrt x) y)) x) |
(* (sqrt (/ 1 x)) y) |
1 |
(+ 1 (* -1 x)) |
(* -1 x) |
(sqrt x) |
(* (sqrt x) y) |
(+ (* -1 x) (* (sqrt x) y)) |
(/ (+ (* -1 x) (* (sqrt x) y)) x) |
(- 1 (* x (pow y 2))) |
(- (+ 1 (* 2 (* (sqrt (pow x 3)) y))) (* x (pow y 2))) |
(- (+ 1 (* x (- (* -1 x) (* -2 (* (sqrt x) y))))) (* x (pow y 2))) |
(* -1 (* x (pow y 2))) |
(* -1 (* x y)) |
(- 1 (* (sqrt x) y)) |
(- (+ 1 x) (* (sqrt x) y)) |
(* -1 (* (sqrt x) y)) |
(* -1 (* x (- 1 (* (sqrt (/ 1 x)) y)))) |
(* x (+ (* -1 (- 1 (* (sqrt (/ 1 x)) y))) (/ 1 x))) |
(- 1 (* (sqrt (/ 1 x)) y)) |
(* x (- (* (sqrt (/ 1 x)) y) 1)) |
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)) |
(* x (- (/ 1 x) 1)) |
(- (* (sqrt (/ 1 x)) y) 1) |
(* -1 (* (pow x 2) (pow (- 1 (* (sqrt (/ 1 x)) y)) 2))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow (- 1 (* (sqrt (/ 1 x)) y)) 2))) |
(* x (- 1 (* (sqrt (/ 1 x)) y))) |
(* x (- (+ 1 (/ 1 x)) (* (sqrt (/ 1 x)) y))) |
(* -1 (* x (- 1 (+ (* (sqrt (/ 1 x)) y) (/ 1 x))))) |
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) |
(* -1 (* (pow x 2) (pow (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) |
(* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) |
(* x (+ 1 (+ (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x)))) |
(* (sqrt x) (* y (pow (sqrt -1) 2))) |
(/ (- 1 (pow x 2)) (+ 1 x)) |
(- (+ (* y (- (* 2 (* (sqrt (pow x 3)) (/ 1 (+ 1 x)))) (* -1 (* (sqrt x) (/ (- 1 (pow x 2)) (pow (+ 1 x) 2)))))) (/ 1 (+ 1 x))) (/ (pow x 2) (+ 1 x))) |
(- (+ (* y (- (+ (* 2 (* (sqrt (pow x 3)) (/ 1 (+ 1 x)))) (* y (- (* -1 (/ x (+ 1 x))) (* -1 (* (sqrt x) (/ (- (* 2 (* (sqrt (pow x 3)) (/ 1 (+ 1 x)))) (* -1 (* (sqrt x) (/ (- 1 (pow x 2)) (pow (+ 1 x) 2))))) (+ 1 x))))))) (* -1 (* (sqrt x) (/ (- 1 (pow x 2)) (pow (+ 1 x) 2)))))) (/ 1 (+ 1 x))) (/ (pow x 2) (+ 1 x))) |
(- (+ (* y (- (+ (* 2 (* (sqrt (pow x 3)) (/ 1 (+ 1 x)))) (* y (- (+ (* -1 (/ x (+ 1 x))) (* (sqrt x) (/ (* y (- (* -1 (/ x (+ 1 x))) (* -1 (* (sqrt x) (/ (- (* 2 (* (sqrt (pow x 3)) (/ 1 (+ 1 x)))) (* -1 (* (sqrt x) (/ (- 1 (pow x 2)) (pow (+ 1 x) 2))))) (+ 1 x)))))) (+ 1 x)))) (* -1 (* (sqrt x) (/ (- (* 2 (* (sqrt (pow x 3)) (/ 1 (+ 1 x)))) (* -1 (* (sqrt x) (/ (- 1 (pow x 2)) (pow (+ 1 x) 2))))) (+ 1 x))))))) (* -1 (* (sqrt x) (/ (- 1 (pow x 2)) (pow (+ 1 x) 2)))))) (/ 1 (+ 1 x))) (/ (pow x 2) (+ 1 x))) |
(+ 1 (* -1 (* (sqrt (/ 1 x)) y))) |
(- 1 x) |
(- (+ 1 (* (sqrt x) y)) x) |
-1 |
(- 1 (pow x 2)) |
(- (+ 1 (* 2 (* (sqrt (pow x 3)) y))) (pow x 2)) |
(- (+ 1 (* y (- (* -1 (* x y)) (* -2 (sqrt (pow x 3)))))) (pow x 2)) |
(+ 1 x) |
(+ 1 (+ x (* -1 (* (sqrt x) y)))) |
(* y (+ (sqrt x) (+ (* -1 (/ x y)) (/ 1 y)))) |
(* y (- (+ (sqrt x) (* -2 (/ x y))) (* -1 (/ (+ 1 x) y)))) |
(* y (- (+ (sqrt x) (+ (* -2 (/ x y)) (* -1 (* (sqrt (/ 1 x)) (/ (- 1 (pow x 2)) (pow y 2)))))) (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (+ 1 x) (- (* -2 x) (* -1 (+ 1 x)))) (pow y 2)))) (* -1 (/ (+ 1 x) y))))) |
(* y (- (+ (sqrt x) (+ (* -2 (/ x y)) (+ (* -1 (* (sqrt (/ 1 x)) (/ (- 1 (pow x 2)) (pow y 2)))) (* (sqrt (/ 1 x)) (/ (* (+ 1 x) (- (* -1 (* (sqrt (/ 1 x)) (- 1 (pow x 2)))) (* -1 (* (sqrt (/ 1 x)) (* (+ 1 x) (- (* -2 x) (* -1 (+ 1 x)))))))) (pow y 3)))))) (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (+ 1 x) (- (* -2 x) (* -1 (+ 1 x)))) (pow y 2)))) (* -1 (/ (+ 1 x) y))))) |
(* y (- (/ 1 y) (sqrt (/ 1 x)))) |
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) |
(* y (+ (sqrt x) (* -1 (/ x y)))) |
(* y (- (sqrt (/ 1 x)) (/ 1 y))) |
(* (pow y 2) (- (* 2 (* (sqrt (pow x 3)) (/ 1 y))) x)) |
(* (pow y 2) (- (/ 1 (pow y 2)) (+ x (+ (* -2 (* (sqrt (pow x 3)) (/ 1 y))) (/ (pow x 2) (pow y 2)))))) |
(* y (- (+ (/ 1 y) (/ x y)) (sqrt x))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 (* -1 x)) y))))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- (* -2 x) (* -1 (+ 1 x))) y))))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- (+ (* -2 x) (* -1 (/ (- (* (sqrt (/ 1 x)) (- 1 (pow x 2))) (* (sqrt (/ 1 x)) (* (+ 1 x) (- (* -2 x) (* -1 (+ 1 x)))))) y))) (* -1 (+ 1 x))) y))))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- (+ (* -2 x) (* -1 (/ (- (+ (* (sqrt (/ 1 x)) (- 1 (pow x 2))) (* (sqrt (/ 1 x)) (/ (* (+ 1 x) (- (* (sqrt (/ 1 x)) (- 1 (pow x 2))) (* (sqrt (/ 1 x)) (* (+ 1 x) (- (* -2 x) (* -1 (+ 1 x))))))) y))) (* (sqrt (/ 1 x)) (* (+ 1 x) (- (* -2 x) (* -1 (+ 1 x)))))) y))) (* -1 (+ 1 x))) y))))) |
(* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))) |
(* -1 (* y (+ (* -1 (sqrt x)) (/ x y)))) |
(* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y)))) |
(* (pow y 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow x 2)) y)) (* 2 (sqrt (pow x 3)))) y)) x)) |
(* -1 (* y (- (* -1 (/ (+ 1 x) y)) (* -1 (sqrt x))))) |
| Outputs |
|---|
(+ 1 (* (sqrt x) y)) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
(/ (- 1 (* x (pow y 2))) (- 1 (* (sqrt x) y))) |
(/.f64 (fma.f64 (*.f64 y y) (neg.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))) |
(- (+ (* x (- (+ (* 2 (* (sqrt x) (/ y (- 1 (* (sqrt x) y))))) (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 2))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2)))) (/ 1 (- 1 (* (sqrt x) y)))) (/ (* x (pow y 2)) (- 1 (* (sqrt x) y)))) |
(fma.f64 (-.f64 (/.f64 (fma.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))) x (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 x) y))) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 2 binary64)))) x (/.f64 (fma.f64 (*.f64 y y) (neg.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))) |
(- (+ (* x (- (+ (* 2 (* (sqrt x) (/ y (- 1 (* (sqrt x) y))))) (+ (* x (- (/ 1 (pow (- 1 (* (sqrt x) y)) 3)) (+ (* 2 (* (sqrt x) (/ y (pow (- 1 (* (sqrt x) y)) 2)))) (+ (/ 1 (- 1 (* (sqrt x) y))) (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 3)))))) (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 2)))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2)))) (/ 1 (- 1 (* (sqrt x) y)))) (/ (* x (pow y 2)) (- 1 (* (sqrt x) y)))) |
(fma.f64 (fma.f64 x (fma.f64 y (/.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))) (/.f64 (fma.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))) x (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 x) y))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 2 binary64)))))) (-.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 x) y) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 2 binary64))))) x (/.f64 (fma.f64 (*.f64 y y) (neg.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))) |
(- (+ (* x (- (+ (* 2 (* (sqrt x) (/ y (- 1 (* (sqrt x) y))))) (+ (* x (- (+ (* x (- (+ (* 2 (* (sqrt x) (/ y (pow (- 1 (* (sqrt x) y)) 3)))) (+ (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 4)))) (/ 1 (pow (- 1 (* (sqrt x) y)) 4)))) (/ 1 (pow (- 1 (* (sqrt x) y)) 3))) (+ (* 2 (* (sqrt x) (/ y (pow (- 1 (* (sqrt x) y)) 2)))) (+ (/ 1 (- 1 (* (sqrt x) y))) (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 3)))))) (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 2)))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2)))) (/ 1 (- 1 (* (sqrt x) y)))) (/ (* x (pow y 2)) (- 1 (* (sqrt x) y)))) |
(fma.f64 (fma.f64 x (fma.f64 y (/.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 2 binary64))) (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 3 binary64)))) (sqrt.f64 x) (fma.f64 (*.f64 y y) (/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 4 binary64)))) x (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))) (/.f64 (fma.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))) x (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 x) y))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 2 binary64))))))) (-.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 x) y) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 2 binary64))))) x (/.f64 (fma.f64 (*.f64 y y) (neg.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))) |
(* -1 (* (sqrt (/ 1 x)) y)) |
(*.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/ (- x (* (sqrt x) y)) x) |
(/.f64 (-.f64 x (*.f64 (sqrt.f64 x) y)) x) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 x) |
(neg.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(+ (* -1 x) (* (sqrt x) y)) |
(fma.f64 (sqrt.f64 x) y (neg.f64 x)) |
(/ (+ (* -1 x) (* (sqrt x) y)) x) |
(fma.f64 (sqrt.f64 x) (/.f64 y x) #s(literal -1 binary64)) |
(- 1 (* x (pow y 2))) |
(fma.f64 (*.f64 y y) (neg.f64 x) #s(literal 1 binary64)) |
(- (+ 1 (* 2 (* (sqrt (pow x 3)) y))) (* x (pow y 2))) |
(fma.f64 y (-.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 x y)) #s(literal 1 binary64)) |
(- (+ 1 (* x (- (* -1 x) (* -2 (* (sqrt x) y))))) (* x (pow y 2))) |
(fma.f64 x (-.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 x) y) (neg.f64 x)) (*.f64 y y)) #s(literal 1 binary64)) |
(* -1 (* x (pow y 2))) |
(*.f64 (*.f64 (neg.f64 x) y) y) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(- 1 (* (sqrt x) y)) |
(-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) |
(- (+ 1 x) (* (sqrt x) y)) |
(-.f64 x (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))) |
(* -1 (* (sqrt x) y)) |
(*.f64 (neg.f64 y) (sqrt.f64 x)) |
(* -1 (* x (- 1 (* (sqrt (/ 1 x)) y)))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x) |
(* x (+ (* -1 (- 1 (* (sqrt (/ 1 x)) y))) (/ 1 x))) |
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(- 1 (* (sqrt (/ 1 x)) y)) |
(fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(* x (- (* (sqrt (/ 1 x)) y) 1)) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x) |
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)) |
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(- (* (sqrt (/ 1 x)) y) 1) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) |
(* -1 (* (pow x 2) (pow (- 1 (* (sqrt (/ 1 x)) y)) 2))) |
(*.f64 (*.f64 (neg.f64 x) x) (pow.f64 (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow (- 1 (* (sqrt (/ 1 x)) y)) 2))) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (pow.f64 (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 x x)) |
(* x (- 1 (* (sqrt (/ 1 x)) y))) |
(fma.f64 (*.f64 (neg.f64 x) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) |
(* x (- (+ 1 (/ 1 x)) (* (sqrt (/ 1 x)) y))) |
(fma.f64 (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(* -1 (* x (- 1 (+ (* (sqrt (/ 1 x)) y) (/ 1 x))))) |
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x) |
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) |
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(* -1 (* x (- 1 (/ 1 x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) |
(*.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* -1 (* (pow x 2) (pow (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) |
(*.f64 (*.f64 (neg.f64 x) x) (pow.f64 (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (pow (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (pow.f64 (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 x x)) |
(* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) |
(fma.f64 (*.f64 (neg.f64 x) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) |
(* x (+ 1 (+ (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x)))) |
(fma.f64 (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(* (sqrt x) (* y (pow (sqrt -1) 2))) |
(*.f64 (neg.f64 y) (sqrt.f64 x)) |
(/ (- 1 (pow x 2)) (+ 1 x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) |
(- (+ (* y (- (* 2 (* (sqrt (pow x 3)) (/ 1 (+ 1 x)))) (* -1 (* (sqrt x) (/ (- 1 (pow x 2)) (pow (+ 1 x) 2)))))) (/ 1 (+ 1 x))) (/ (pow x 2) (+ 1 x))) |
(fma.f64 (/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) x)) y (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))) |
(- (+ (* y (- (+ (* 2 (* (sqrt (pow x 3)) (/ 1 (+ 1 x)))) (* y (- (* -1 (/ x (+ 1 x))) (* -1 (* (sqrt x) (/ (- (* 2 (* (sqrt (pow x 3)) (/ 1 (+ 1 x)))) (* -1 (* (sqrt x) (/ (- 1 (pow x 2)) (pow (+ 1 x) 2))))) (+ 1 x))))))) (* -1 (* (sqrt x) (/ (- 1 (pow x 2)) (pow (+ 1 x) 2)))))) (/ 1 (+ 1 x))) (/ (pow x 2) (+ 1 x))) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x) (neg.f64 x)) (+.f64 #s(literal 1 binary64) x)) y (/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) x))) y (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))) |
(- (+ (* y (- (+ (* 2 (* (sqrt (pow x 3)) (/ 1 (+ 1 x)))) (* y (- (+ (* -1 (/ x (+ 1 x))) (* (sqrt x) (/ (* y (- (* -1 (/ x (+ 1 x))) (* -1 (* (sqrt x) (/ (- (* 2 (* (sqrt (pow x 3)) (/ 1 (+ 1 x)))) (* -1 (* (sqrt x) (/ (- 1 (pow x 2)) (pow (+ 1 x) 2))))) (+ 1 x)))))) (+ 1 x)))) (* -1 (* (sqrt x) (/ (- (* 2 (* (sqrt (pow x 3)) (/ 1 (+ 1 x)))) (* -1 (* (sqrt x) (/ (- 1 (pow x 2)) (pow (+ 1 x) 2))))) (+ 1 x))))))) (* -1 (* (sqrt x) (/ (- 1 (pow x 2)) (pow (+ 1 x) 2)))))) (/ 1 (+ 1 x))) (/ (pow x 2) (+ 1 x))) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x) (fma.f64 (*.f64 (sqrt.f64 x) y) (/.f64 (fma.f64 (/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x) (neg.f64 x)) (+.f64 #s(literal 1 binary64) x)) (neg.f64 x))) (+.f64 #s(literal 1 binary64) x)) y (/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) x))) y (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))) |
(+ 1 (* -1 (* (sqrt (/ 1 x)) y))) |
(fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
(- (+ 1 (* (sqrt x) y)) x) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
-1 |
#s(literal -1 binary64) |
(- 1 (pow x 2)) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
(- (+ 1 (* 2 (* (sqrt (pow x 3)) y))) (pow x 2)) |
(fma.f64 (*.f64 #s(literal 2 binary64) y) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
(- (+ 1 (* y (- (* -1 (* x y)) (* -2 (sqrt (pow x 3)))))) (pow x 2)) |
(-.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 x y)) y (*.f64 x x))) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 (+ x (* -1 (* (sqrt x) y)))) |
(-.f64 x (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))) |
(* y (+ (sqrt x) (+ (* -1 (/ x y)) (/ 1 y)))) |
(fma.f64 (-.f64 (sqrt.f64 x) (/.f64 x y)) y #s(literal 1 binary64)) |
(* y (- (+ (sqrt x) (* -2 (/ x y))) (* -1 (/ (+ 1 x) y)))) |
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x (+.f64 #s(literal 1 binary64) x)) y) (sqrt.f64 x)) y) |
(* y (- (+ (sqrt x) (+ (* -2 (/ x y)) (* -1 (* (sqrt (/ 1 x)) (/ (- 1 (pow x 2)) (pow y 2)))))) (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (+ 1 x) (- (* -2 x) (* -1 (+ 1 x)))) (pow y 2)))) (* -1 (/ (+ 1 x) y))))) |
(*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) (sqrt.f64 x)) (/.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (fma.f64 #s(literal -2 binary64) x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) (*.f64 x x)))) y) y)) (/.f64 (-.f64 #s(literal -1 binary64) x) y)) y) |
(* y (- (+ (sqrt x) (+ (* -2 (/ x y)) (+ (* -1 (* (sqrt (/ 1 x)) (/ (- 1 (pow x 2)) (pow y 2)))) (* (sqrt (/ 1 x)) (/ (* (+ 1 x) (- (* -1 (* (sqrt (/ 1 x)) (- 1 (pow x 2)))) (* -1 (* (sqrt (/ 1 x)) (* (+ 1 x) (- (* -2 x) (* -1 (+ 1 x)))))))) (pow y 3)))))) (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (+ 1 x) (- (* -2 x) (* -1 (+ 1 x)))) (pow y 2)))) (* -1 (/ (+ 1 x) y))))) |
(*.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (fma.f64 #s(literal -2 binary64) x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) (*.f64 x x)))) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 y y))) (fma.f64 (/.f64 x y) #s(literal -2 binary64) (sqrt.f64 x))) (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x (+.f64 #s(literal 1 binary64) x)) y) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) y) |
(* y (- (/ 1 y) (sqrt (/ 1 x)))) |
(fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) |
(fma.f64 (-.f64 (sqrt.f64 x) (/.f64 x y)) y #s(literal 1 binary64)) |
(* y (+ (sqrt x) (* -1 (/ x y)))) |
(*.f64 (-.f64 (sqrt.f64 x) (/.f64 x y)) y) |
(* y (- (sqrt (/ 1 x)) (/ 1 y))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) |
(* (pow y 2) (- (* 2 (* (sqrt (pow x 3)) (/ 1 y))) x)) |
(*.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) y) (neg.f64 x)) (*.f64 y y)) |
(* (pow y 2) (- (/ 1 (pow y 2)) (+ x (+ (* -2 (* (sqrt (pow x 3)) (/ 1 y))) (/ (pow x 2) (pow y 2)))))) |
(*.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x) (/.f64 (fma.f64 #s(literal -2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 x (/.f64 x y))) y)) (*.f64 y y)) |
(* y (- (+ (/ 1 y) (/ x y)) (sqrt x))) |
(*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) (sqrt.f64 x)) y) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 (* -1 x)) y))))) |
(fma.f64 (-.f64 (sqrt.f64 x) (/.f64 x y)) y #s(literal 1 binary64)) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- (* -2 x) (* -1 (+ 1 x))) y))))) |
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x (+.f64 #s(literal 1 binary64) x)) y) (sqrt.f64 x)) y) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- (+ (* -2 x) (* -1 (/ (- (* (sqrt (/ 1 x)) (- 1 (pow x 2))) (* (sqrt (/ 1 x)) (* (+ 1 x) (- (* -2 x) (* -1 (+ 1 x)))))) y))) (* -1 (+ 1 x))) y))))) |
(*.f64 (+.f64 (/.f64 (-.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (fma.f64 #s(literal -2 binary64) x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) (*.f64 x x)))) y)) (-.f64 #s(literal -1 binary64) x)) y) (sqrt.f64 x)) y) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- (+ (* -2 x) (* -1 (/ (- (+ (* (sqrt (/ 1 x)) (- 1 (pow x 2))) (* (sqrt (/ 1 x)) (/ (* (+ 1 x) (- (* (sqrt (/ 1 x)) (- 1 (pow x 2))) (* (sqrt (/ 1 x)) (* (+ 1 x) (- (* -2 x) (* -1 (+ 1 x))))))) y))) (* (sqrt (/ 1 x)) (* (+ 1 x) (- (* -2 x) (* -1 (+ 1 x)))))) y))) (* -1 (+ 1 x))) y))))) |
(*.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (fma.f64 #s(literal 2 binary64) x (-.f64 #s(literal -1 binary64) x)) (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) y) (fma.f64 #s(literal -2 binary64) x (+.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) y) (fma.f64 #s(literal 2 binary64) x (-.f64 #s(literal -1 binary64) x))) y) #s(literal -1 binary64) (sqrt.f64 x)) y) |
(* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y))) |
(fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))) |
(fma.f64 (-.f64 (sqrt.f64 x) (/.f64 x y)) y #s(literal 1 binary64)) |
(* -1 (* y (+ (* -1 (sqrt x)) (/ x y)))) |
(*.f64 (-.f64 (sqrt.f64 x) (/.f64 x y)) y) |
(* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) |
(* (pow y 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow x 2)) y)) (* 2 (sqrt (pow x 3)))) y)) x)) |
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) y)) (neg.f64 y)) x) (*.f64 y y)) |
(* -1 (* y (- (* -1 (/ (+ 1 x) y)) (* -1 (sqrt x))))) |
(*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) (sqrt.f64 x)) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 242 |
| 0 | 58 | 225 |
| 1 | 220 | 202 |
| 0 | 1621 | 199 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x))) (neg.f64 x) #s(literal 1 binary64)) |
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x))) (neg.f64 x) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x))) |
(/.f64 y (sqrt.f64 x)) |
#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))) |
(sqrt.f64 x) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(approx (+ (* (/ 1 (sqrt x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) x)) |
(*.f64 #s(approx (+ (* (/ 1 (sqrt x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) x) |
#s(approx (+ (* (/ 1 (sqrt x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(/.f64 #s(approx (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (*.f64 (*.f64 (neg.f64 x) y) y)) #s(approx (+ 1 (- x (* (sqrt x) y))) (*.f64 (neg.f64 y) (sqrt.f64 x)))) |
#s(approx (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (*.f64 (*.f64 (neg.f64 x) y) y)) |
(*.f64 (*.f64 (neg.f64 x) y) y) |
(*.f64 (neg.f64 x) y) |
#s(approx (+ 1 (- x (* (sqrt x) y))) (*.f64 (neg.f64 y) (sqrt.f64 x))) |
(*.f64 (neg.f64 y) (sqrt.f64 x)) |
| Outputs |
|---|
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x)))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x)))) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x))) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (neg.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x))) x) #s(literal 3 binary64))) #s(literal -1 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x))))) (pow.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x)))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x))) #s(literal -1 binary64))) |
(/.f64 (-.f64 (neg.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x))) x) #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x)))) #s(literal 2 binary64)) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x))))))) |
(/.f64 (-.f64 (neg.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x))) x) #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x))))) (pow.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x)))) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x)))) #s(literal -1 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x)))) x #s(literal 1 binary64)) |
(fma.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x)))) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x))) #s(literal 1 binary64)) |
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x))) (*.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x))) (neg.f64 x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x)))) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x))) #s(literal -1 binary64)))) |
(-.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x)))) #s(literal -1 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x))))) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x)))) (neg.f64 x))) |
(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x))) x)) |
(+.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x))) x) #s(literal 3 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x))))) (pow.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x)))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x))))) (pow.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x)))) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x)))) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x))))) |
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (fma.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x))) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) y #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 y (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) y #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal 2 binary64))) (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) y #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) (fma.f64 (/.f64 y (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) y #s(literal 1 binary64)) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) y #s(literal 1 binary64))) (/.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) y #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) y #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (fma.f64 (/.f64 y (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) y #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) |
(*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (sqrt.f64 x)))) |
(*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) |
(*.f64 y (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 (sqrt.f64 x))) |
(/.f64 (*.f64 #s(literal -1 binary64) y) (neg.f64 (sqrt.f64 x))) |
(/.f64 (*.f64 y #s(literal -1 binary64)) (neg.f64 (sqrt.f64 x))) |
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 (sqrt.f64 x)))) |
(/.f64 (neg.f64 y) (neg.f64 (sqrt.f64 x))) |
(/.f64 y (sqrt.f64 x)) |
(neg.f64 (/.f64 (neg.f64 y) (sqrt.f64 x))) |
(neg.f64 (/.f64 y (neg.f64 (sqrt.f64 x)))) |
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) #s(approx (- 1 x) (neg.f64 x))) |
#s(approx (- 1 x) (neg.f64 x)) |
(neg.f64 x) |
(/.f64 (-.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 2 binary64))) (-.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 (sqrt.f64 x) y))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 2 binary64)) (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (sqrt.f64 x) y) #s(approx (- 1 x) (neg.f64 x))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (- 1 x) (neg.f64 x)) (-.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 (sqrt.f64 x) y)) (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 2 binary64)) (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64))) (-.f64 (*.f64 (sqrt.f64 x) y) #s(approx (- 1 x) (neg.f64 x)))) |
(/.f64 (+.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(approx (- 1 x) (neg.f64 x)))))) |
(/.f64 (+.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) (-.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 (sqrt.f64 x) y)) (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 2 binary64)))) |
(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 (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 2 binary64)) (-.f64 (*.f64 (sqrt.f64 x) y) #s(approx (- 1 x) (neg.f64 x)))) (/.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64)) (-.f64 (*.f64 (sqrt.f64 x) y) #s(approx (- 1 x) (neg.f64 x))))) |
(-.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 (neg.f64 y) (sqrt.f64 x))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) (-.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 (sqrt.f64 x) y)) (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 3 binary64)) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) (-.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 (sqrt.f64 x) y)) (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 2 binary64))))) |
(+.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)) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
(pow.f64 x #s(literal 1/2 binary64)) |
(sqrt.f64 x) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64))) |
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (*.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 #s(literal -1 binary64) (neg.f64 (/.f64 y (sqrt.f64 x)))) |
(*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) |
(*.f64 y (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 (sqrt.f64 x))) |
(/.f64 (*.f64 #s(literal -1 binary64) y) (neg.f64 (sqrt.f64 x))) |
(/.f64 (*.f64 y #s(literal -1 binary64)) (neg.f64 (sqrt.f64 x))) |
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 (sqrt.f64 x)))) |
(/.f64 (neg.f64 y) (neg.f64 (sqrt.f64 x))) |
(/.f64 y (sqrt.f64 x)) |
(neg.f64 (/.f64 (neg.f64 y) (sqrt.f64 x))) |
(neg.f64 (/.f64 y (neg.f64 (sqrt.f64 x)))) |
(/.f64 (neg.f64 (neg.f64 #s(approx (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (*.f64 (*.f64 (neg.f64 x) y) y)))) (neg.f64 (neg.f64 #s(approx (+ 1 (- x (* (sqrt x) y))) (*.f64 (neg.f64 y) (sqrt.f64 x)))))) |
(/.f64 (neg.f64 #s(approx (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (*.f64 (*.f64 (neg.f64 x) y) y))) (neg.f64 #s(approx (+ 1 (- x (* (sqrt x) y))) (*.f64 (neg.f64 y) (sqrt.f64 x))))) |
(/.f64 #s(approx (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (*.f64 (*.f64 (neg.f64 x) y) y)) #s(approx (+ 1 (- x (* (sqrt x) y))) (*.f64 (neg.f64 y) (sqrt.f64 x)))) |
(neg.f64 (/.f64 (neg.f64 #s(approx (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (*.f64 (*.f64 (neg.f64 x) y) y))) #s(approx (+ 1 (- x (* (sqrt x) y))) (*.f64 (neg.f64 y) (sqrt.f64 x))))) |
(neg.f64 (/.f64 #s(approx (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (*.f64 (*.f64 (neg.f64 x) y) y)) (neg.f64 #s(approx (+ 1 (- x (* (sqrt x) y))) (*.f64 (neg.f64 y) (sqrt.f64 x)))))) |
#s(approx (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (*.f64 (*.f64 (neg.f64 x) y) y)) |
(*.f64 (*.f64 y y) (neg.f64 x)) |
(*.f64 (*.f64 (neg.f64 x) y) y) |
(*.f64 (neg.f64 x) (*.f64 y y)) |
(*.f64 y (*.f64 (neg.f64 x) y)) |
(neg.f64 (*.f64 y (*.f64 x y))) |
(neg.f64 (*.f64 (*.f64 x y) y)) |
(neg.f64 (*.f64 x (*.f64 y y))) |
(*.f64 (neg.f64 x) y) |
(*.f64 x (neg.f64 y)) |
(*.f64 y (neg.f64 x)) |
(neg.f64 (*.f64 x y)) |
#s(approx (+ 1 (- x (* (sqrt x) y))) (*.f64 (neg.f64 y) (sqrt.f64 x))) |
(*.f64 (neg.f64 (sqrt.f64 x)) y) |
(*.f64 (neg.f64 y) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (neg.f64 y)) |
(*.f64 y (neg.f64 (sqrt.f64 x))) |
(neg.f64 (*.f64 (sqrt.f64 x) y)) |
Compiled 6 677 to 640 computations (90.4% saved)
14 alts after pruning (6 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 170 | 1 | 171 |
| Fresh | 1 | 5 | 6 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 3 | 3 |
| Total | 171 | 14 | 185 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 72.1% | (fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x))) |
| ✓ | 67.0% | (fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) #s(literal 1 binary64))) |
| ✓ | 17.9% | (/.f64 #s(approx (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (*.f64 (*.f64 (neg.f64 x) y) y)) #s(approx (+ 1 (- x (* (sqrt x) y))) (*.f64 (neg.f64 y) (sqrt.f64 x)))) |
| ✓ | 93.2% | #s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x))) (neg.f64 x) #s(literal 1 binary64))) |
| 67.1% | #s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))) | |
| 38.1% | #s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (/.f64 (fma.f64 (*.f64 y y) (neg.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))) | |
| 65.5% | #s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (*.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) y #s(literal -1 binary64)) x)) | |
| 33.9% | #s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (*.f64 #s(approx (+ (* (/ 1 (sqrt x)) y) -1) (/.f64 y (sqrt.f64 x))) x)) | |
| 50.6% | #s(approx (+ (- 1 x) (* y (sqrt x))) (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (-.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64)))) | |
| ✓ | 61.1% | #s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) |
| ✓ | 33.9% | #s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(approx (+ (* (/ 1 (sqrt x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) x)) |
| ✓ | 33.9% | #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) |
| ✓ | 28.4% | #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64))) |
| 40.6% | #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (+ (* (/ 1 (sqrt x)) y) -1) x) (*.f64 (sqrt.f64 x) y))) |
Compiled 1 047 to 335 computations (68% 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))) #s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) (*.f64 (sqrt.f64 x) y))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (+ (* (/ 1 (sqrt x)) y) -1) 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) #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 (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (*.f64 #s(approx (+ (* (/ 1 (sqrt x)) y) -1) (/.f64 y (sqrt.f64 x))) x)) |
#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 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) x)) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(approx (+ (* (/ 1 (sqrt x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) x)) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x)) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y #s(literal -1 binary64)) x)) |
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x))) (neg.f64 x) #s(literal 1 binary64))) |
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))) |
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (fma.f64 (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (neg.f64 x) #s(literal 1 binary64))) |
(/.f64 #s(approx (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (*.f64 (*.f64 (neg.f64 x) y) y)) #s(approx (+ 1 (- x (* (sqrt x) y))) (*.f64 (neg.f64 y) (sqrt.f64 x)))) |
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (/.f64 (fma.f64 (*.f64 y y) (neg.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))) |
(/.f64 #s(approx (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (*.f64 (*.f64 (neg.f64 x) y) y)) (+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (sqrt.f64 x) y)))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 x (*.f64 (sqrt.f64 x) y)) (-.f64 x (*.f64 (sqrt.f64 x) y)))) (+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (sqrt.f64 x) y)))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) y #s(literal -1 binary64)) x)) |
#s(approx (/ (- 1 (* (- x (* (sqrt x) y)) (- x (* (sqrt x) y)))) (+ 1 (- x (* (sqrt x) y)))) (*.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) y #s(literal -1 binary64)) x)) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (-.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (*.f64 (sqrt.f64 x) y)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x (*.f64 (sqrt.f64 x) y)) (-.f64 x (*.f64 (sqrt.f64 x) y)) (*.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (sqrt.f64 x) y)))))) |
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (/.f64 (*.f64 (fma.f64 (*.f64 y y) (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) x) (-.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal -1 binary64)))) |
| Outputs |
|---|
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
3 calls:
| 9.0ms | x |
| 8.0ms | y |
| 7.0ms | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
| 99.8% | 1 | x |
| 99.8% | 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))) #s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) (*.f64 (sqrt.f64 x) y))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (+ (* (/ 1 (sqrt x)) y) -1) 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) #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:
| 19.0ms | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
| 3.0ms | y |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.5% | 2 | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
| 99.0% | 2 | x |
| 98.1% | 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))) #s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) (*.f64 (sqrt.f64 x) y))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (+ (* (/ 1 (sqrt x)) y) -1) 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) #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:
| 3.0ms | x |
| 3.0ms | y |
| 2.0ms | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.1% | 3 | y |
| 86.0% | 3 | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
| 80.2% | 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))) #s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) (*.f64 (sqrt.f64 x) y))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (+ (* (/ 1 (sqrt x)) y) -1) x) (*.f64 (sqrt.f64 x) y))) |
| Outputs |
|---|
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) 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))) #s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) (*.f64 (sqrt.f64 x) y))) |
1 calls:
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.3% | 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 | x |
| 2.0ms | y |
| 1.0ms | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 61.1% | 1 | x |
| 61.1% | 1 | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
| 61.1% | 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:
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.3% | 2 | x |
| 36.4% | 2 | y |
| 60.9% | 2 | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 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:
| 21.0ms | x |
| 1.0ms | y |
| 1.0ms | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 28.4% | 1 | y |
| 28.4% | 1 | x |
| 28.4% | 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 |
|---|---|---|
| 12.0ms | 0.0005023790461512579 | 78503.79716262642 |
| 6.0ms | 144× | 0 | valid |
Compiled 227 to 201 computations (11.5% saved)
ival-sub: 1.0ms (28.7% of total)ival-add: 1.0ms (28.7% of total)ival-mult: 1.0ms (28.7% of total)ival-sqrt: 1.0ms (28.7% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 9.0ms | 1.1370884405602525e+59 | 2.5150410577595386e+60 |
| 35.0ms | -3.1795580493404504e+88 | -4.141423758598433e+64 |
| 34.0ms | 288× | 0 | valid |
Compiled 479 to 426 computations (11.1% saved)
ival-sub: 22.0ms (79.8% of total)ival-mult: 2.0ms (7.3% of total)ival-sqrt: 2.0ms (7.3% of total)ival-add: 1.0ms (3.6% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 2.9677017366001787e+63 | 1.0955149448344088e+69 |
| 33.0ms | -3.1795580493404504e+88 | -4.141423758598433e+64 |
| 14.0ms | 304× | 0 | valid |
Compiled 731 to 592 computations (19% saved)
ival-sub: 2.0ms (27.2% of total)ival-mult: 2.0ms (27.2% of total)ival-sqrt: 2.0ms (27.2% of total)ival-add: 1.0ms (13.6% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -2.394330366365129 | 0.9994976209538488 |
Compiled 11 to 12 computations (-9.1% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 181 |
| 1 | 69 | 181 |
| 2 | 98 | 181 |
| 3 | 162 | 181 |
| 4 | 287 | 181 |
| 5 | 685 | 181 |
| 6 | 4250 | 181 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
(if (<=.f64 x #s(literal 1 binary64)) #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)))) |
(if (<=.f64 y #s(literal -1300000000000000059869580733570580134472701552406580863237149949952 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (if (<=.f64 y #s(literal 1180000000000000075865350457613530963554268210697861842599936 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))))) |
(if (<=.f64 y #s(literal -779999999999999953146126605338771951359620108073141868459183667016836027777024 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) (*.f64 (sqrt.f64 x) y))) (if (<=.f64 y #s(literal 8999999999999999694973214392582579661458477717875457837951940034560 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) (*.f64 (sqrt.f64 x) y))))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) |
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) #s(literal -2 binary64)) #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)))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64))) |
| Outputs |
|---|
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
(if (<=.f64 x #s(literal 1 binary64)) #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)))) |
(if (<=.f64 y #s(literal -1300000000000000059869580733570580134472701552406580863237149949952 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (if (<=.f64 y #s(literal 1180000000000000075865350457613530963554268210697861842599936 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))))) |
(if (or (<=.f64 y #s(literal -1300000000000000059869580733570580134472701552406580863237149949952 binary64)) (not (<=.f64 y #s(literal 1180000000000000075865350457613530963554268210697861842599936 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 #s(literal 1 binary64) x))) |
(if (<=.f64 y #s(literal -779999999999999953146126605338771951359620108073141868459183667016836027777024 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) (*.f64 (sqrt.f64 x) y))) (if (<=.f64 y #s(literal 8999999999999999694973214392582579661458477717875457837951940034560 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) (*.f64 (sqrt.f64 x) y))))) |
(if (or (<=.f64 y #s(literal -779999999999999953146126605338771951359620108073141868459183667016836027777024 binary64)) (not (<=.f64 y #s(literal 8999999999999999694973214392582579661458477717875457837951940034560 binary64)))) #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) 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 #s(literal 1 binary64) x)) |
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) #s(literal -2 binary64)) #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)))) |
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64))) |
| 1× | fuel |
Compiled 181 to 50 computations (72.4% saved)
Compiled 378 to 114 computations (69.8% saved)
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