
Time bar (total: 3.6s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 3 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 4 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 5 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 6 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 7 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 8 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 9 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 10 |
| 96.9% | 96.8% | 3.1% | 0.1% | 0% | 0% | 0% | 11 |
| 96.9% | 96.8% | 3.1% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 9 to 8 computations (11.1% saved)
| 630.0ms | 8 256× | 0 | valid |
ival-mult: 258.0ms (67.2% of total)ival-div: 74.0ms (19.3% of total)ival-sub: 38.0ms (9.9% of total)ival-true: 6.0ms (1.6% of total)exact: 5.0ms (1.3% of total)ival-assert: 3.0ms (0.8% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 41 | 0 | - | 4 | (5.293317763639369e-118 -2.322887917616962e-158) | (/.f64 x (*.f64 y y)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | #s(literal 3 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 y y) |
| 0 | 0 | - | 0 | - | (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 x (*.f64 y y)) | n/u | 19 | 0 |
| ↳ | (*.f64 y y) | underflow | 67 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 19 | 4 |
| - | 0 | 233 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 19 | 0 | 4 |
| - | 0 | 0 | 233 |
| number | freq |
|---|---|
| 0 | 237 |
| 1 | 19 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 44.0ms | 512× | 0 | valid |
Compiled 47 to 22 computations (53.2% saved)
ival-mult: 4.0ms (38.7% of total)ival-div: 3.0ms (29% of total)ival-sub: 2.0ms (19.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 39 |
| 1 | 38 | 39 |
| 2 | 90 | 39 |
| 3 | 148 | 39 |
| 4 | 197 | 39 |
| 0 | 6 | 7 |
| 0 | 9 | 7 |
| 1 | 15 | 7 |
| 2 | 32 | 7 |
| 3 | 58 | 7 |
| 4 | 80 | 7 |
| 5 | 93 | 7 |
| 6 | 101 | 7 |
| 0 | 101 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
| Outputs |
|---|
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
(abs y)
Compiled 7 to 6 computations (14.3% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 92.3% | (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
Compiled 7 to 6 computations (14.3% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (/.f64 x (*.f64 y y)) | |
| cost-diff | 0 | (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 18 |
| 0 | 9 | 18 |
| 1 | 15 | 18 |
| 2 | 32 | 18 |
| 3 | 58 | 18 |
| 4 | 80 | 18 |
| 5 | 93 | 18 |
| 6 | 101 | 18 |
| 0 | 101 | 18 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
(/.f64 x (*.f64 y y)) |
x |
(*.f64 y y) |
y |
#s(literal 3 binary64) |
| Outputs |
|---|
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
(/.f64 x (*.f64 y y)) |
x |
(*.f64 y y) |
y |
#s(literal 3 binary64) |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) | |
| accuracy | 0.0 | (*.f64 y y) | |
| accuracy | 8.712248390939951 | (/.f64 x (*.f64 y y)) |
| 15.0ms | 256× | 0 | valid |
Compiled 20 to 8 computations (60% saved)
ival-sub: 5.0ms (54.3% of total)ival-div: 2.0ms (21.7% of total)ival-mult: 2.0ms (21.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
(/.f64 x (*.f64 y y)) |
(*.f64 y y) |
| Outputs |
|---|
-3 |
(- (/ x (pow y 2)) 3) |
(/ x (pow y 2)) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(pow y 2) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | ((- (/ x (* y y)) 3) (/ x (* y y)) (* y y)) |
| 1.0ms | y | @ | 0 | ((- (/ x (* y y)) 3) (/ x (* y y)) (* y y)) |
| 1.0ms | x | @ | -inf | ((- (/ x (* y y)) 3) (/ x (* y y)) (* y y)) |
| 1.0ms | y | @ | inf | ((- (/ x (* y y)) 3) (/ x (* y y)) (* y y)) |
| 1.0ms | x | @ | 0 | ((- (/ x (* y y)) 3) (/ x (* y y)) (* y y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 37 |
| 1 | 44 | 37 |
| 2 | 103 | 37 |
| 3 | 336 | 37 |
| 4 | 901 | 37 |
| 5 | 3148 | 37 |
| 6 | 5679 | 37 |
| 7 | 6618 | 37 |
| 8 | 7161 | 37 |
| 0 | 8033 | 37 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-3 |
(- (/ x (pow y 2)) 3) |
(/ x (pow y 2)) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(pow y 2) |
| Outputs |
|---|
-3 |
#s(literal -3 binary64) |
(- (/ x (pow y 2)) 3) |
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
(pow y 2) |
(*.f64 y y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 15 |
| 0 | 9 | 15 |
| 1 | 34 | 15 |
| 2 | 210 | 15 |
| 3 | 3217 | 15 |
| 0 | 8736 | 15 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
(/.f64 x (*.f64 y y)) |
(*.f64 y y) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal 9 binary64)) (+.f64 #s(literal 27 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))))) (+.f64 #s(literal 9 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (*.f64 y y)))) |
(*.f64 (/.f64 (-.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal 9 binary64)) (-.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal 9 binary64))) (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))) |
(*.f64 (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 27 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 (fma.f64 (/.f64 x y) (/.f64 #s(literal -3 binary64) y) #s(literal 9 binary64)) #s(literal 2 binary64)))) (-.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) x)) (*.f64 y y)) #s(literal 9 binary64))) |
(*.f64 (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 27 binary64)) (+.f64 (pow.f64 (fma.f64 (/.f64 x y) (/.f64 #s(literal -3 binary64) y) #s(literal 9 binary64)) #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 12 binary64))))) (fma.f64 (fma.f64 (/.f64 x y) (/.f64 #s(literal -3 binary64) y) #s(literal 9 binary64)) (+.f64 #s(literal 9 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (*.f64 y y))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -9 binary64) (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y))) #s(literal 2 binary64)))) (neg.f64 (/.f64 (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal 9 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 #s(literal 9 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (*.f64 y y)))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 27 binary64) (+.f64 #s(literal 9 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (*.f64 y y)))) #s(literal 2 binary64)))) (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -9 binary64) (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal -9 binary64) (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y))) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y))) (/.f64 #s(literal -9 binary64) (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y)))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 #s(literal 9 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (*.f64 y y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 27 binary64) (+.f64 #s(literal 9 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (*.f64 y y)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 #s(literal 9 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (*.f64 y y)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal 27 binary64) (+.f64 #s(literal 9 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (*.f64 y y)))) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 #s(literal 9 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (*.f64 y y)))) (/.f64 #s(literal 27 binary64) (+.f64 #s(literal 9 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (*.f64 y y))))))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal 9 binary64))))) (neg.f64 (neg.f64 (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 27 binary64))))) (neg.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 9 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (*.f64 y y))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y))) (*.f64 (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y)) #s(literal 9 binary64)))) (neg.f64 (pow.f64 (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 #s(literal 9 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (*.f64 y y)))) (*.f64 (+.f64 #s(literal 9 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (*.f64 y y))) #s(literal 27 binary64)))) (neg.f64 (pow.f64 (+.f64 #s(literal 9 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (*.f64 y y))) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal -9 binary64)) (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y))) |
(/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -27 binary64)) (neg.f64 (+.f64 #s(literal 9 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (*.f64 y y))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -9 binary64) (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y))) #s(literal 2 binary64))) (/.f64 (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal 9 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 #s(literal 9 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (*.f64 y y)))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 27 binary64) (+.f64 #s(literal 9 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (*.f64 y y)))) #s(literal 2 binary64))) (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -9 binary64) (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal -9 binary64) (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y))) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y))) (/.f64 #s(literal -9 binary64) (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 #s(literal 9 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (*.f64 y y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 27 binary64) (+.f64 #s(literal 9 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (*.f64 y y)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 #s(literal 9 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (*.f64 y y)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal 27 binary64) (+.f64 #s(literal 9 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (*.f64 y y)))) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 #s(literal 9 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (*.f64 y y)))) (/.f64 #s(literal 27 binary64) (+.f64 #s(literal 9 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (*.f64 y y)))))))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 18 binary64))) #s(literal 19683 binary64))) (neg.f64 (*.f64 (+.f64 (fma.f64 #s(literal 27 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 729 binary64)) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 12 binary64)))) (+.f64 #s(literal 9 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (*.f64 y y)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal 9 binary64)))) (neg.f64 (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 27 binary64)))) (neg.f64 (neg.f64 (+.f64 #s(literal 9 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (*.f64 y y)))))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) #s(literal 81 binary64))) (neg.f64 (*.f64 (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal 9 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y))))) |
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(/.f64 (sqrt.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) y)) (sqrt.f64 y)) |
(/.f64 (sqrt.f64 (*.f64 (/.f64 x y) x)) (sqrt.f64 (pow.f64 y #s(literal 3 binary64)))) |
(/.f64 (sqrt.f64 (*.f64 (neg.f64 x) x)) (*.f64 y y)) |
(/.f64 (exp.f64 (log.f64 (neg.f64 x))) (*.f64 y y)) |
(/.f64 (exp.f64 (log.f64 (/.f64 x y))) y) |
(/.f64 (exp.f64 (log.f64 x)) (*.f64 y y)) |
(/.f64 (/.f64 (fabs.f64 x) y) y) |
(/.f64 (fabs.f64 x) (*.f64 y y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 (neg.f64 x) (*.f64 y y)) |
(/.f64 x (*.f64 y y)) |
(neg.f64 (/.f64 (/.f64 x y) y)) |
(sqrt.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))))) |
(fabs.f64 (/.f64 (/.f64 x y) y)) |
(exp.f64 (/.f64 (*.f64 (log.f64 (/.f64 (/.f64 x y) y)) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 x y) y)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (/.f64 (/.f64 x y) y))) |
(+.f64 (cosh.f64 (log.f64 (/.f64 (/.f64 x y) y))) (sinh.f64 (log.f64 (/.f64 (/.f64 x y) y)))) |
(*.f64 (sqrt.f64 (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 y)) |
(*.f64 (sqrt.f64 y) (sqrt.f64 (pow.f64 y #s(literal 3 binary64)))) |
(*.f64 y y) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 y)) |
(pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 y y) #s(literal 1 binary64)) |
(pow.f64 y #s(literal 2 binary64)) |
(neg.f64 (*.f64 y y)) |
(sqrt.f64 (pow.f64 y #s(literal 4 binary64))) |
(fabs.f64 (*.f64 y y)) |
(exp.f64 (/.f64 (fma.f64 (log.f64 y) #s(literal 2 binary64) (*.f64 (log.f64 y) #s(literal 2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (/.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))) |
Compiled 3 311 to 404 computations (87.8% saved)
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 105 | 4 | 109 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 105 | 5 | 110 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 51.4% | (/.f64 (-.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal 9 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y))) |
| ▶ | 99.9% | (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
| ✓ | 92.3% | (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
| ▶ | 55.8% | (-.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 x y) y)) (sqrt.f64 (/.f64 (/.f64 x y) y))) #s(literal 3 binary64)) |
| ▶ | 44.2% | #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) |
Compiled 55 to 41 computations (25.5% saved)
| 1× | egg-herbie |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 x (pow.f64 y #s(literal 4 binary64))) | |
| cost-diff | 0 | (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) | |
| cost-diff | 0 | (-.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal 9 binary64)) | |
| cost-diff | 0 | (/.f64 (-.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal 9 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y))) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (/.f64 (/.f64 x y) y) | |
| cost-diff | 0 | (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) | |
| cost-diff | 0 | (/.f64 (/.f64 x y) y) | |
| cost-diff | 0 | (sqrt.f64 (/.f64 (/.f64 x y) y)) | |
| cost-diff | 0 | (-.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 x y) y)) (sqrt.f64 (/.f64 (/.f64 x y) y))) #s(literal 3 binary64)) | |
| cost-diff | 8 | (*.f64 (sqrt.f64 (/.f64 (/.f64 x y) y)) (sqrt.f64 (/.f64 (/.f64 x y) y))) | |
| cost-diff | 0 | #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 134 |
| 0 | 34 | 118 |
| 1 | 49 | 118 |
| 2 | 92 | 118 |
| 3 | 173 | 118 |
| 4 | 314 | 118 |
| 5 | 515 | 118 |
| 6 | 742 | 118 |
| 7 | 938 | 118 |
| 8 | 1110 | 118 |
| 9 | 1213 | 118 |
| 10 | 1226 | 118 |
| 11 | 1230 | 118 |
| 0 | 1230 | 118 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) |
#s(literal -3 binary64) |
(-.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 x y) y)) (sqrt.f64 (/.f64 (/.f64 x y) y))) #s(literal 3 binary64)) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 x y) y)) (sqrt.f64 (/.f64 (/.f64 x y) y))) |
(sqrt.f64 (/.f64 (/.f64 x y) y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x y) |
x |
y |
#s(literal 3 binary64) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x y) |
x |
y |
#s(literal 3 binary64) |
(/.f64 (-.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal 9 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y))) |
(-.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal 9 binary64)) |
(*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) |
x |
(/.f64 x (pow.f64 y #s(literal 4 binary64))) |
(pow.f64 y #s(literal 4 binary64)) |
y |
#s(literal 4 binary64) |
#s(literal 9 binary64) |
(+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y)) |
#s(literal 3 binary64) |
(/.f64 (/.f64 x y) y) |
(/.f64 x y) |
| Outputs |
|---|
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) |
#s(literal -3 binary64) |
(-.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 x y) y)) (sqrt.f64 (/.f64 (/.f64 x y) y))) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 x y) y)) (sqrt.f64 (/.f64 (/.f64 x y) y))) |
(/.f64 (/.f64 x y) y) |
(sqrt.f64 (/.f64 (/.f64 x y) y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x y) |
x |
y |
#s(literal 3 binary64) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x y) |
x |
y |
#s(literal 3 binary64) |
(/.f64 (-.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal 9 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y))) |
(/.f64 (-.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x) #s(literal 9 binary64)) (+.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))) |
(-.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal 9 binary64)) |
(-.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x) #s(literal 9 binary64)) |
(*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) |
(*.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x) |
x |
(/.f64 x (pow.f64 y #s(literal 4 binary64))) |
(pow.f64 y #s(literal 4 binary64)) |
y |
#s(literal 4 binary64) |
#s(literal 9 binary64) |
(+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y)) |
(+.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(/.f64 (/.f64 x y) y) |
(/.f64 x y) |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0390625 | (/.f64 (/.f64 x y) y) | |
| accuracy | 1.3804284023385462 | (/.f64 x (pow.f64 y #s(literal 4 binary64))) | |
| accuracy | 3.2813625487728384 | (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) | |
| accuracy | 9.61670511169581 | (/.f64 (-.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal 9 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y))) | |
| accuracy | 0.0 | (/.f64 x y) | |
| accuracy | 0.0 | (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) | |
| accuracy | 0.0390625 | (/.f64 (/.f64 x y) y) | |
| accuracy | 0.0 | (-.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 x y) y)) (sqrt.f64 (/.f64 (/.f64 x y) y))) #s(literal 3 binary64)) | |
| accuracy | 0.0390625 | (/.f64 (/.f64 x y) y) | |
| accuracy | 0.10384750976844201 | (*.f64 (sqrt.f64 (/.f64 (/.f64 x y) y)) (sqrt.f64 (/.f64 (/.f64 x y) y))) | |
| accuracy | 9.745507624754113 | (sqrt.f64 (/.f64 (/.f64 x y) y)) | |
| accuracy | 16.851267078438912 | #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) |
| 24.0ms | 141× | 0 | invalid |
| 20.0ms | 115× | 0 | valid |
Compiled 134 to 23 computations (82.8% saved)
ival-div: 13.0ms (45.5% of total)ival-mult: 5.0ms (17.5% of total)ival-sub: 4.0ms (14% of total)ival-pow: 3.0ms (10.5% of total)ival-sqrt: 2.0ms (7% of total)ival-add: 1.0ms (3.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 x y) y)) (sqrt.f64 (/.f64 (/.f64 x y) y))) |
(-.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 x y) y)) (sqrt.f64 (/.f64 (/.f64 x y) y))) #s(literal 3 binary64)) |
(sqrt.f64 (/.f64 (/.f64 x y) y)) |
(/.f64 (/.f64 x y) y) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(/.f64 x y) |
(/.f64 (-.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal 9 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y))) |
(-.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal 9 binary64)) |
(*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) |
(/.f64 x (pow.f64 y #s(literal 4 binary64))) |
| Outputs |
|---|
-3 |
(- (/ x (pow y 2)) 3) |
(/ x (pow y 2)) |
(* (sqrt x) (/ 1 y)) |
(/ x y) |
-9 |
(- (/ (pow x 2) (pow y 4)) 9) |
(/ (pow x 2) (pow y 4)) |
(/ x (pow y 4)) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* (pow x 2) (- (/ 1 (pow y 4)) (* 9 (/ 1 (pow x 2))))) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2))) |
(* -1 (* x (+ (* 3 (/ 1 x)) (/ (pow (sqrt -1) 2) (pow y 2))))) |
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y))) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/ (+ (* -9 (pow y 4)) (pow x 2)) (pow y 4)) |
(* -1 (* (sqrt x) (/ 1 y))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | x | @ | -inf | ((- (/ x (* y y)) 3) (* (sqrt (/ (/ x y) y)) (sqrt (/ (/ x y) y))) (- (* (sqrt (/ (/ x y) y)) (sqrt (/ (/ x y) y))) 3) (sqrt (/ (/ x y) y)) (/ (/ x y) y) (- (/ (/ x y) y) 3) (/ x y) (/ (- (* x (/ x (pow y 4))) 9) (+ 3 (/ (/ x y) y))) (- (* x (/ x (pow y 4))) 9) (* x (/ x (pow y 4))) (/ x (pow y 4))) |
| 4.0ms | x | @ | 0 | ((- (/ x (* y y)) 3) (* (sqrt (/ (/ x y) y)) (sqrt (/ (/ x y) y))) (- (* (sqrt (/ (/ x y) y)) (sqrt (/ (/ x y) y))) 3) (sqrt (/ (/ x y) y)) (/ (/ x y) y) (- (/ (/ x y) y) 3) (/ x y) (/ (- (* x (/ x (pow y 4))) 9) (+ 3 (/ (/ x y) y))) (- (* x (/ x (pow y 4))) 9) (* x (/ x (pow y 4))) (/ x (pow y 4))) |
| 3.0ms | x | @ | inf | ((- (/ x (* y y)) 3) (* (sqrt (/ (/ x y) y)) (sqrt (/ (/ x y) y))) (- (* (sqrt (/ (/ x y) y)) (sqrt (/ (/ x y) y))) 3) (sqrt (/ (/ x y) y)) (/ (/ x y) y) (- (/ (/ x y) y) 3) (/ x y) (/ (- (* x (/ x (pow y 4))) 9) (+ 3 (/ (/ x y) y))) (- (* x (/ x (pow y 4))) 9) (* x (/ x (pow y 4))) (/ x (pow y 4))) |
| 2.0ms | y | @ | 0 | ((- (/ x (* y y)) 3) (* (sqrt (/ (/ x y) y)) (sqrt (/ (/ x y) y))) (- (* (sqrt (/ (/ x y) y)) (sqrt (/ (/ x y) y))) 3) (sqrt (/ (/ x y) y)) (/ (/ x y) y) (- (/ (/ x y) y) 3) (/ x y) (/ (- (* x (/ x (pow y 4))) 9) (+ 3 (/ (/ x y) y))) (- (* x (/ x (pow y 4))) 9) (* x (/ x (pow y 4))) (/ x (pow y 4))) |
| 2.0ms | y | @ | inf | ((- (/ x (* y y)) 3) (* (sqrt (/ (/ x y) y)) (sqrt (/ (/ x y) y))) (- (* (sqrt (/ (/ x y) y)) (sqrt (/ (/ x y) y))) 3) (sqrt (/ (/ x y) y)) (/ (/ x y) y) (- (/ (/ x y) y) 3) (/ x y) (/ (- (* x (/ x (pow y 4))) 9) (+ 3 (/ (/ x y) y))) (- (* x (/ x (pow y 4))) 9) (* x (/ x (pow y 4))) (/ x (pow y 4))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 108 |
| 1 | 120 | 102 |
| 2 | 379 | 102 |
| 3 | 1239 | 102 |
| 4 | 3450 | 102 |
| 0 | 5513 | 99 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| Inputs |
|---|
-3 |
(- (/ x (pow y 2)) 3) |
(/ x (pow y 2)) |
(* (sqrt x) (/ 1 y)) |
(/ x y) |
-9 |
(- (/ (pow x 2) (pow y 4)) 9) |
(/ (pow x 2) (pow y 4)) |
(/ x (pow y 4)) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* (pow x 2) (- (/ 1 (pow y 4)) (* 9 (/ 1 (pow x 2))))) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2))) |
(* -1 (* x (+ (* 3 (/ 1 x)) (/ (pow (sqrt -1) 2) (pow y 2))))) |
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y))) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/ (+ (* -9 (pow y 4)) (pow x 2)) (pow y 4)) |
(* -1 (* (sqrt x) (/ 1 y))) |
| Outputs |
|---|
-3 |
#s(literal -3 binary64) |
(- (/ x (pow y 2)) 3) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(/ x (pow y 2)) |
(/.f64 (/.f64 x y) y) |
(* (sqrt x) (/ 1 y)) |
(/.f64 (sqrt.f64 x) y) |
(/ x y) |
(/.f64 x y) |
-9 |
#s(literal -9 binary64) |
(- (/ (pow x 2) (pow y 4)) 9) |
(fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x #s(literal -9 binary64)) |
(/ (pow x 2) (pow y 4)) |
(*.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x) |
(/ x (pow y 4)) |
(/.f64 x (pow.f64 y #s(literal 4 binary64))) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(* (pow x 2) (- (/ 1 (pow y 4)) (* 9 (/ 1 (pow x 2))))) |
(fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x #s(literal -9 binary64)) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2))) |
(/.f64 (/.f64 x y) y) |
(* -1 (* x (+ (* 3 (/ 1 x)) (/ (pow (sqrt -1) 2) (pow y 2))))) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y))) |
(/.f64 (sqrt.f64 x) y) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(/ (+ (* -9 (pow y 4)) (pow x 2)) (pow y 4)) |
(fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x #s(literal -9 binary64)) |
(* -1 (* (sqrt x) (/ 1 y))) |
(/.f64 (sqrt.f64 x) (neg.f64 y)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 96 |
| 0 | 34 | 70 |
| 1 | 122 | 69 |
| 2 | 728 | 66 |
| 0 | 9459 | 66 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 x y) y)) (sqrt.f64 (/.f64 (/.f64 x y) y))) |
(-.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 x y) y)) (sqrt.f64 (/.f64 (/.f64 x y) y))) #s(literal 3 binary64)) |
(sqrt.f64 (/.f64 (/.f64 x y) y)) |
(/.f64 (/.f64 x y) y) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(/.f64 x y) |
(/.f64 (-.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal 9 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y))) |
(-.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal 9 binary64)) |
(*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) |
(/.f64 x (pow.f64 y #s(literal 4 binary64))) |
| Outputs |
|---|
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 (/.f64 (sqrt.f64 x) y))) (sqrt.f64 (/.f64 (sqrt.f64 x) y))) |
(*.f64 (sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) (sqrt.f64 (/.f64 (sqrt.f64 x) y))) |
(*.f64 (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (sqrt.f64 x)) |
(*.f64 (pow.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 (sqrt.f64 x) y))) |
(*.f64 (pow.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))))) |
(*.f64 (sqrt.f64 x) (pow.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 x) y)) (*.f64 (sqrt.f64 (/.f64 (sqrt.f64 x) y)) (/.f64 (sqrt.f64 x) y))) |
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 x) y)) (sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 3 binary64)))) |
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 x) y)) (pow.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) y)) |
(pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 8 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 2 binary64)) |
(/.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 x y))) (/.f64 (sqrt.f64 x) y)) (neg.f64 (sqrt.f64 y))) |
(/.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 x y))) (/.f64 (sqrt.f64 x) y)) (sqrt.f64 y)) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 (neg.f64 x) y)) (/.f64 (sqrt.f64 x) y)) (sqrt.f64 (neg.f64 y))) |
(/.f64 (*.f64 (sqrt.f64 (neg.f64 x)) (/.f64 (sqrt.f64 x) y)) (sqrt.f64 (*.f64 (neg.f64 y) y))) |
(/.f64 (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) y)) y) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 (/.f64 (neg.f64 x) y))) (sqrt.f64 (neg.f64 y))) |
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(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 12 binary64)) #s(literal 729 binary64)))) (fma.f64 #s(literal 9 binary64) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) (-.f64 #s(literal 81 binary64) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 8 binary64))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 8 binary64)) (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x #s(literal 9 binary64))) (*.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x #s(literal 9 binary64)) #s(literal 81 binary64))) (*.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x #s(literal 9 binary64)) (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x #s(literal 9 binary64)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 12 binary64)) (fma.f64 #s(literal 9 binary64) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) (-.f64 #s(literal 81 binary64) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 8 binary64))))) (*.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) (-.f64 #s(literal 81 binary64) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 8 binary64)))) #s(literal 729 binary64))) (*.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) (-.f64 #s(literal 81 binary64) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 8 binary64)))) (fma.f64 #s(literal 9 binary64) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) (-.f64 #s(literal 81 binary64) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 8 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 8 binary64)) #s(literal 81 binary64))) (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x #s(literal -9 binary64))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 12 binary64)) #s(literal 729 binary64))) (neg.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) (-.f64 #s(literal 81 binary64) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 8 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 8 binary64)) #s(literal 81 binary64)) (neg.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x #s(literal -9 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 8 binary64)) #s(literal 81 binary64)) (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x #s(literal 9 binary64))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 12 binary64)) #s(literal 729 binary64)) (neg.f64 (neg.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) (-.f64 #s(literal 81 binary64) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 8 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 12 binary64)) #s(literal 729 binary64)) (fma.f64 #s(literal 9 binary64) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) (-.f64 #s(literal 81 binary64) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 8 binary64))))) |
(neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) #s(literal 9 binary64)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 8 binary64)) (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x #s(literal -9 binary64))) (/.f64 #s(literal -81 binary64) (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x #s(literal -9 binary64)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 12 binary64)) (fma.f64 #s(literal 9 binary64) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) (-.f64 #s(literal 81 binary64) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 8 binary64))))) (/.f64 #s(literal 729 binary64) (fma.f64 #s(literal 9 binary64) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) (-.f64 #s(literal 81 binary64) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 8 binary64)))))) |
(-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) #s(literal 9 binary64)) |
(*.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) (sqrt.f64 (/.f64 (sqrt.f64 x) y))) (sqrt.f64 (/.f64 (sqrt.f64 x) y))) |
(*.f64 (/.f64 (/.f64 (/.f64 x y) y) y) (/.f64 x y)) |
(*.f64 (/.f64 (/.f64 (/.f64 x y) y) (neg.f64 y)) (/.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 (fabs.f64 x) (*.f64 (neg.f64 y) y)) (/.f64 (fabs.f64 x) (*.f64 (neg.f64 y) y))) |
(*.f64 (/.f64 (fabs.f64 x) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (/.f64 (fabs.f64 x) (neg.f64 y))) |
(*.f64 (/.f64 (fabs.f64 x) (pow.f64 y #s(literal 3 binary64))) (/.f64 (fabs.f64 x) y)) |
(*.f64 (/.f64 (neg.f64 x) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (/.f64 x y)) |
(*.f64 (/.f64 (neg.f64 x) (pow.f64 y #s(literal 3 binary64))) (/.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 x (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (/.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 x y)) |
(*.f64 (/.f64 (fabs.f64 x) (neg.f64 y)) (/.f64 (fabs.f64 x) (pow.f64 (neg.f64 y) #s(literal 3 binary64)))) |
(*.f64 (/.f64 (fabs.f64 x) y) (/.f64 (fabs.f64 x) (pow.f64 y #s(literal 3 binary64)))) |
(*.f64 (sqrt.f64 (pow.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal 2 binary64))) (fabs.f64 x)) |
(*.f64 (sqrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 4 binary64)))) (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))))) |
(*.f64 (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 4 binary64))))) |
(*.f64 (sqrt.f64 (*.f64 (pow.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal 2 binary64)) x)) (sqrt.f64 x)) |
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 x) y)) #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 x) y)) #s(literal 4 binary64))) |
(*.f64 (/.f64 (/.f64 x y) y) (/.f64 (/.f64 x y) y)) |
(*.f64 (fabs.f64 x) (sqrt.f64 (pow.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal 2 binary64)))) |
(*.f64 (fabs.f64 x) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) |
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (pow.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal 2 binary64)) x))) |
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 x) y)) (*.f64 (sqrt.f64 (/.f64 (sqrt.f64 x) y)) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 3 binary64)))) |
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) (/.f64 (sqrt.f64 x) y)) |
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (/.f64 (/.f64 x y) y) (neg.f64 y))) |
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) (pow.f64 y #s(literal 3 binary64)))) |
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 x (pow.f64 (neg.f64 y) #s(literal 3 binary64)))) |
(*.f64 (neg.f64 x) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) |
(*.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) (fabs.f64 x)) |
(*.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) (neg.f64 x)) |
(*.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x) |
(*.f64 (/.f64 (sqrt.f64 x) y) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) |
(*.f64 (/.f64 x y) (/.f64 (/.f64 (/.f64 x y) y) y)) |
(*.f64 (/.f64 x y) (/.f64 (neg.f64 x) (pow.f64 (neg.f64 y) #s(literal 3 binary64)))) |
(*.f64 (/.f64 x y) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) |
(*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) |
(pow.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 8 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) |
(/.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 x y))) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) (neg.f64 (sqrt.f64 y))) |
(/.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 x y))) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) (sqrt.f64 y)) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 (neg.f64 x) y)) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) (sqrt.f64 (neg.f64 y))) |
(/.f64 (*.f64 (sqrt.f64 (neg.f64 x)) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) (sqrt.f64 (*.f64 (neg.f64 y) y))) |
(/.f64 (*.f64 (sqrt.f64 x) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) y) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) (neg.f64 (sqrt.f64 y))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) (sqrt.f64 y)) |
(/.f64 (*.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (/.f64 (/.f64 x y) y)) (sqrt.f64 y)) |
(/.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) (neg.f64 (sqrt.f64 (/.f64 x y)))) (neg.f64 (sqrt.f64 y))) |
(/.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) (neg.f64 (sqrt.f64 (/.f64 x y)))) (sqrt.f64 y)) |
(/.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) (sqrt.f64 (/.f64 (neg.f64 x) y))) (sqrt.f64 (neg.f64 y))) |
(/.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (*.f64 (neg.f64 y) y))) |
(/.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) (sqrt.f64 x)) y) |
(/.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) (sqrt.f64 (/.f64 x y))) (neg.f64 (sqrt.f64 y))) |
(/.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) (sqrt.f64 (/.f64 x y))) (sqrt.f64 y)) |
(/.f64 (*.f64 (/.f64 (/.f64 x y) y) (/.f64 (/.f64 x y) (sqrt.f64 y))) (sqrt.f64 y)) |
(/.f64 (fabs.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) y)) y) |
(/.f64 (fabs.f64 (*.f64 (neg.f64 x) x)) (fabs.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))))) |
(/.f64 (fabs.f64 (*.f64 (/.f64 x y) x)) (pow.f64 y #s(literal 3 binary64))) |
(/.f64 (fabs.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (*.f64 y y)) |
(/.f64 (fabs.f64 (*.f64 (/.f64 (neg.f64 x) y) x)) (pow.f64 y #s(literal 3 binary64))) |
(/.f64 (sqrt.f64 (pow.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 y y)) |
(/.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 (pow.f64 y #s(literal 8 binary64)))) |
(/.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) y) (neg.f64 y)) |
(/.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) y) y) |
(/.f64 (*.f64 (neg.f64 x) x) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) |
(/.f64 (*.f64 (neg.f64 x) x) (pow.f64 y #s(literal 4 binary64))) |
(/.f64 (*.f64 (/.f64 x y) x) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) |
(/.f64 (*.f64 (/.f64 x y) x) (pow.f64 y #s(literal 3 binary64))) |
(/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (neg.f64 y) y)) |
(/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 y y)) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) x) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) x) (pow.f64 y #s(literal 3 binary64))) |
(/.f64 (*.f64 x x) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) |
(/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) |
(neg.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64))) |
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 8 binary64))) |
(fabs.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 x y) y)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 x) y)) #s(literal 4 binary64))) |
(exp.f64 (*.f64 #s(literal 4 binary64) (log.f64 (/.f64 (sqrt.f64 x) y)))) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 x) y) (neg.f64 y)) (/.f64 (/.f64 (sqrt.f64 x) y) (neg.f64 y))) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 x) y) y) (/.f64 (/.f64 (sqrt.f64 x) y) y)) |
(/.f64 (/.f64 (/.f64 x y) y) (*.f64 (neg.f64 y) y)) |
(/.f64 (/.f64 (/.f64 x y) y) (*.f64 y y)) |
(/.f64 (neg.f64 x) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) |
(/.f64 (neg.f64 x) (pow.f64 y #s(literal 4 binary64))) |
(/.f64 x (neg.f64 (pow.f64 y #s(literal 4 binary64)))) |
(/.f64 x (pow.f64 y #s(literal 4 binary64))) |
(neg.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64)))) |
(fabs.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64)))) |
(exp.f64 (-.f64 (log.f64 (/.f64 (/.f64 x y) y)) (*.f64 (log.f64 y) #s(literal 2 binary64)))) |
Compiled 9 599 to 1 232 computations (87.2% saved)
7 alts after pruning (4 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 395 | 4 | 399 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 2 | 4 |
| Done | 0 | 1 | 1 |
| Total | 397 | 7 | 404 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 59.3% | (/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (/.f64 x y) y) y) (/.f64 x y)) #s(literal 9 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y))) |
| ▶ | 51.4% | (/.f64 #s(approx (- (* x (/ x (pow y 4))) 9) (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x #s(literal -9 binary64))) (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y))) |
| ▶ | 99.8% | (-.f64 (/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y)) #s(literal 3 binary64)) |
| ✓ | 99.9% | (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
| ✓ | 92.3% | (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
| ▶ | 44.8% | (-.f64 (*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) y)) #s(literal 3 binary64)) |
| ✓ | 44.2% | #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) |
Compiled 92 to 65 computations (29.3% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 (*.f64 (/.f64 (/.f64 (/.f64 x y) y) y) (/.f64 x y)) #s(literal 9 binary64)) | |
| cost-diff | 0 | (/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (/.f64 x y) y) y) (/.f64 x y)) #s(literal 9 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y))) | |
| cost-diff | 2 | (/.f64 (/.f64 (/.f64 x y) y) y) | |
| cost-diff | 2 | (*.f64 (/.f64 (/.f64 (/.f64 x y) y) y) (/.f64 x y)) | |
| cost-diff | 0 | (/.f64 x (pow.f64 y #s(literal 4 binary64))) | |
| cost-diff | 0 | (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x #s(literal -9 binary64)) | |
| cost-diff | 0 | #s(approx (- (* x (/ x (pow y 4))) 9) (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x #s(literal -9 binary64))) | |
| cost-diff | 0 | (/.f64 #s(approx (- (* x (/ x (pow y 4))) 9) (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x #s(literal -9 binary64))) (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y))) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (/.f64 (/.f64 x y) (sqrt.f64 y)) | |
| cost-diff | 0 | (-.f64 (/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y)) #s(literal 3 binary64)) | |
| cost-diff | 4 | (/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y)) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (/.f64 (sqrt.f64 x) y) | |
| cost-diff | 0 | (-.f64 (*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) y)) #s(literal 3 binary64)) | |
| cost-diff | 4 | (*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) y)) |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 214 |
| 0 | 50 | 222 |
| 1 | 78 | 222 |
| 2 | 146 | 190 |
| 3 | 426 | 190 |
| 4 | 2759 | 184 |
| 5 | 6716 | 184 |
| 0 | 8092 | 184 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) y)) #s(literal 3 binary64)) |
(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) y)) |
(/.f64 (sqrt.f64 x) y) |
(sqrt.f64 x) |
x |
y |
#s(literal 3 binary64) |
(-.f64 (/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y)) #s(literal 3 binary64)) |
(/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y)) |
(/.f64 (/.f64 x y) (sqrt.f64 y)) |
(/.f64 x y) |
x |
y |
(sqrt.f64 y) |
#s(literal 3 binary64) |
(/.f64 #s(approx (- (* x (/ x (pow y 4))) 9) (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x #s(literal -9 binary64))) (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y))) |
#s(approx (- (* x (/ x (pow y 4))) 9) (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x #s(literal -9 binary64))) |
(fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x #s(literal -9 binary64)) |
(/.f64 x (pow.f64 y #s(literal 4 binary64))) |
x |
(pow.f64 y #s(literal 4 binary64)) |
y |
#s(literal 4 binary64) |
#s(literal -9 binary64) |
(+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y)) |
#s(literal 3 binary64) |
(/.f64 (/.f64 x y) y) |
(/.f64 x y) |
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (/.f64 x y) y) y) (/.f64 x y)) #s(literal 9 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y))) |
(-.f64 (*.f64 (/.f64 (/.f64 (/.f64 x y) y) y) (/.f64 x y)) #s(literal 9 binary64)) |
(*.f64 (/.f64 (/.f64 (/.f64 x y) y) y) (/.f64 x y)) |
(/.f64 (/.f64 (/.f64 x y) y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 x y) |
x |
y |
#s(literal 9 binary64) |
(+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y)) |
#s(literal 3 binary64) |
| Outputs |
|---|
(-.f64 (*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) y)) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 (sqrt.f64 x) y) |
(sqrt.f64 x) |
x |
y |
#s(literal 3 binary64) |
(-.f64 (/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y)) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) (sqrt.f64 y)) |
(/.f64 (/.f64 x (sqrt.f64 y)) y) |
(/.f64 x y) |
x |
y |
(sqrt.f64 y) |
#s(literal 3 binary64) |
(/.f64 #s(approx (- (* x (/ x (pow y 4))) 9) (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x #s(literal -9 binary64))) (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y))) |
(/.f64 #s(approx (- (* x (/ x (pow y 4))) 9) (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x #s(literal -9 binary64))) (+.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))) |
#s(approx (- (* x (/ x (pow y 4))) 9) (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x #s(literal -9 binary64))) |
(fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x #s(literal -9 binary64)) |
(/.f64 x (pow.f64 y #s(literal 4 binary64))) |
x |
(pow.f64 y #s(literal 4 binary64)) |
y |
#s(literal 4 binary64) |
#s(literal -9 binary64) |
(+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y)) |
(+.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(/.f64 (/.f64 x y) y) |
(/.f64 x y) |
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (/.f64 x y) y) y) (/.f64 x y)) #s(literal 9 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y))) |
(/.f64 (-.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x) #s(literal 9 binary64)) (+.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))) |
(-.f64 (*.f64 (/.f64 (/.f64 (/.f64 x y) y) y) (/.f64 x y)) #s(literal 9 binary64)) |
(-.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x) #s(literal 9 binary64)) |
(*.f64 (/.f64 (/.f64 (/.f64 x y) y) y) (/.f64 x y)) |
(*.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x) |
(/.f64 (/.f64 (/.f64 x y) y) y) |
(/.f64 x (pow.f64 y #s(literal 3 binary64))) |
(/.f64 (/.f64 x y) y) |
(/.f64 x y) |
x |
y |
#s(literal 9 binary64) |
(+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y)) |
(+.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0390625 | (/.f64 (/.f64 x y) y) | |
| accuracy | 0.05859375 | (/.f64 (/.f64 (/.f64 x y) y) y) | |
| accuracy | 0.3080131630273132 | (*.f64 (/.f64 (/.f64 (/.f64 x y) y) y) (/.f64 x y)) | |
| accuracy | 9.61670511169581 | (/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (/.f64 x y) y) y) (/.f64 x y)) #s(literal 9 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y))) | |
| accuracy | 0.0390625 | (/.f64 (/.f64 x y) y) | |
| accuracy | 1.3804284023385462 | (/.f64 x (pow.f64 y #s(literal 4 binary64))) | |
| accuracy | 2.3338774645957923 | (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x #s(literal -9 binary64)) | |
| accuracy | 9.61670511169581 | (/.f64 #s(approx (- (* x (/ x (pow y 4))) 9) (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x #s(literal -9 binary64))) (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y))) | |
| accuracy | 0.0 | (-.f64 (/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y)) #s(literal 3 binary64)) | |
| accuracy | 0.0 | (sqrt.f64 y) | |
| accuracy | 0.0703125 | (/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y)) | |
| accuracy | 0.09212875976844202 | (/.f64 (/.f64 x y) (sqrt.f64 y)) | |
| accuracy | 0.0 | (-.f64 (*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) y)) #s(literal 3 binary64)) | |
| accuracy | 0.0 | (sqrt.f64 x) | |
| accuracy | 0.10384750976844201 | (*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) y)) | |
| accuracy | 0.125 | (/.f64 (sqrt.f64 x) y) |
| 32.0ms | 141× | 0 | invalid |
| 21.0ms | 115× | 0 | valid |
Compiled 199 to 30 computations (84.9% saved)
ival-div: 17.0ms (46.6% of total)ival-mult: 6.0ms (16.4% of total)ival-sub: 4.0ms (11% of total)ival-sqrt: 4.0ms (11% of total)ival-pow: 3.0ms (8.2% of total)ival-add: 2.0ms (5.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) y)) |
(-.f64 (*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) y)) #s(literal 3 binary64)) |
(/.f64 (sqrt.f64 x) y) |
(sqrt.f64 x) |
(/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y)) |
(-.f64 (/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y)) #s(literal 3 binary64)) |
(/.f64 (/.f64 x y) (sqrt.f64 y)) |
(/.f64 x y) |
(/.f64 #s(approx (- (* x (/ x (pow y 4))) 9) (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x #s(literal -9 binary64))) (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y))) |
#s(approx (- (* x (/ x (pow y 4))) 9) (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x #s(literal -9 binary64))) |
(fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x #s(literal -9 binary64)) |
(/.f64 x (pow.f64 y #s(literal 4 binary64))) |
(*.f64 (/.f64 (/.f64 (/.f64 x y) y) y) (/.f64 x y)) |
(/.f64 (/.f64 (/.f64 x y) y) y) |
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (/.f64 x y) y) y) (/.f64 x y)) #s(literal 9 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y))) |
(-.f64 (*.f64 (/.f64 (/.f64 (/.f64 x y) y) y) (/.f64 x y)) #s(literal 9 binary64)) |
(sqrt.f64 y) |
(/.f64 (/.f64 x y) y) |
| Outputs |
|---|
(/ x (pow y 2)) |
-3 |
(- (/ x (pow y 2)) 3) |
(* (sqrt x) (/ 1 y)) |
(sqrt x) |
(* x (sqrt (/ 1 (pow y 3)))) |
(/ x y) |
-9 |
(- (/ (pow x 2) (pow y 4)) 9) |
(/ x (pow y 4)) |
(/ (pow x 2) (pow y 4)) |
(/ x (pow y 3)) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* (pow x 2) (- (/ 1 (pow y 4)) (* 9 (/ 1 (pow x 2))))) |
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2))) |
(* -1 (* x (+ (* 3 (/ 1 x)) (/ (pow (sqrt -1) 2) (pow y 2))))) |
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/ (+ (* -9 (pow y 4)) (pow x 2)) (pow y 4)) |
(sqrt y) |
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) |
(- (* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) 3) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | y | @ | -inf | ((* (/ (sqrt x) y) (/ (sqrt x) y)) (- (* (/ (sqrt x) y) (/ (sqrt x) y)) 3) (/ (sqrt x) y) (sqrt x) (/ (/ (/ x y) (sqrt y)) (sqrt y)) (- (/ (/ (/ x y) (sqrt y)) (sqrt y)) 3) (/ (/ x y) (sqrt y)) (/ x y) (/ (- (* x (/ x (pow y 4))) 9) (+ 3 (/ (/ x y) y))) (- (* x (/ x (pow y 4))) 9) (+ (* (/ x (pow y 4)) x) -9) (/ x (pow y 4)) (* (/ (/ (/ x y) y) y) (/ x y)) (/ (/ (/ x y) y) y) (/ (- (* (/ (/ (/ x y) y) y) (/ x y)) 9) (+ 3 (/ (/ x y) y))) (- (* (/ (/ (/ x y) y) y) (/ x y)) 9) (sqrt y) (/ (/ x y) y)) |
| 6.0ms | x | @ | -inf | ((* (/ (sqrt x) y) (/ (sqrt x) y)) (- (* (/ (sqrt x) y) (/ (sqrt x) y)) 3) (/ (sqrt x) y) (sqrt x) (/ (/ (/ x y) (sqrt y)) (sqrt y)) (- (/ (/ (/ x y) (sqrt y)) (sqrt y)) 3) (/ (/ x y) (sqrt y)) (/ x y) (/ (- (* x (/ x (pow y 4))) 9) (+ 3 (/ (/ x y) y))) (- (* x (/ x (pow y 4))) 9) (+ (* (/ x (pow y 4)) x) -9) (/ x (pow y 4)) (* (/ (/ (/ x y) y) y) (/ x y)) (/ (/ (/ x y) y) y) (/ (- (* (/ (/ (/ x y) y) y) (/ x y)) 9) (+ 3 (/ (/ x y) y))) (- (* (/ (/ (/ x y) y) y) (/ x y)) 9) (sqrt y) (/ (/ x y) y)) |
| 4.0ms | x | @ | inf | ((* (/ (sqrt x) y) (/ (sqrt x) y)) (- (* (/ (sqrt x) y) (/ (sqrt x) y)) 3) (/ (sqrt x) y) (sqrt x) (/ (/ (/ x y) (sqrt y)) (sqrt y)) (- (/ (/ (/ x y) (sqrt y)) (sqrt y)) 3) (/ (/ x y) (sqrt y)) (/ x y) (/ (- (* x (/ x (pow y 4))) 9) (+ 3 (/ (/ x y) y))) (- (* x (/ x (pow y 4))) 9) (+ (* (/ x (pow y 4)) x) -9) (/ x (pow y 4)) (* (/ (/ (/ x y) y) y) (/ x y)) (/ (/ (/ x y) y) y) (/ (- (* (/ (/ (/ x y) y) y) (/ x y)) 9) (+ 3 (/ (/ x y) y))) (- (* (/ (/ (/ x y) y) y) (/ x y)) 9) (sqrt y) (/ (/ x y) y)) |
| 4.0ms | x | @ | 0 | ((* (/ (sqrt x) y) (/ (sqrt x) y)) (- (* (/ (sqrt x) y) (/ (sqrt x) y)) 3) (/ (sqrt x) y) (sqrt x) (/ (/ (/ x y) (sqrt y)) (sqrt y)) (- (/ (/ (/ x y) (sqrt y)) (sqrt y)) 3) (/ (/ x y) (sqrt y)) (/ x y) (/ (- (* x (/ x (pow y 4))) 9) (+ 3 (/ (/ x y) y))) (- (* x (/ x (pow y 4))) 9) (+ (* (/ x (pow y 4)) x) -9) (/ x (pow y 4)) (* (/ (/ (/ x y) y) y) (/ x y)) (/ (/ (/ x y) y) y) (/ (- (* (/ (/ (/ x y) y) y) (/ x y)) 9) (+ 3 (/ (/ x y) y))) (- (* (/ (/ (/ x y) y) y) (/ x y)) 9) (sqrt y) (/ (/ x y) y)) |
| 3.0ms | y | @ | 0 | ((* (/ (sqrt x) y) (/ (sqrt x) y)) (- (* (/ (sqrt x) y) (/ (sqrt x) y)) 3) (/ (sqrt x) y) (sqrt x) (/ (/ (/ x y) (sqrt y)) (sqrt y)) (- (/ (/ (/ x y) (sqrt y)) (sqrt y)) 3) (/ (/ x y) (sqrt y)) (/ x y) (/ (- (* x (/ x (pow y 4))) 9) (+ 3 (/ (/ x y) y))) (- (* x (/ x (pow y 4))) 9) (+ (* (/ x (pow y 4)) x) -9) (/ x (pow y 4)) (* (/ (/ (/ x y) y) y) (/ x y)) (/ (/ (/ x y) y) y) (/ (- (* (/ (/ (/ x y) y) y) (/ x y)) 9) (+ 3 (/ (/ x y) y))) (- (* (/ (/ (/ x y) y) y) (/ x y)) 9) (sqrt y) (/ (/ x y) y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 67 | 134 |
| 1 | 146 | 130 |
| 2 | 456 | 130 |
| 3 | 1624 | 130 |
| 4 | 5212 | 130 |
| 0 | 8201 | 127 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ x (pow y 2)) |
-3 |
(- (/ x (pow y 2)) 3) |
(* (sqrt x) (/ 1 y)) |
(sqrt x) |
(* x (sqrt (/ 1 (pow y 3)))) |
(/ x y) |
-9 |
(- (/ (pow x 2) (pow y 4)) 9) |
(/ x (pow y 4)) |
(/ (pow x 2) (pow y 4)) |
(/ x (pow y 3)) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* (pow x 2) (- (/ 1 (pow y 4)) (* 9 (/ 1 (pow x 2))))) |
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2))) |
(* -1 (* x (+ (* 3 (/ 1 x)) (/ (pow (sqrt -1) 2) (pow y 2))))) |
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/ (+ (* -9 (pow y 4)) (pow x 2)) (pow y 4)) |
(sqrt y) |
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) |
(- (* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) 3) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
| Outputs |
|---|
(/ x (pow y 2)) |
(/.f64 (/.f64 x y) y) |
-3 |
#s(literal -3 binary64) |
(- (/ x (pow y 2)) 3) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(* (sqrt x) (/ 1 y)) |
(/.f64 (sqrt.f64 x) y) |
(sqrt x) |
(sqrt.f64 x) |
(* x (sqrt (/ 1 (pow y 3)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) x) |
(/ x y) |
(/.f64 x y) |
-9 |
#s(literal -9 binary64) |
(- (/ (pow x 2) (pow y 4)) 9) |
(fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x #s(literal -9 binary64)) |
(/ x (pow y 4)) |
(/.f64 x (pow.f64 y #s(literal 4 binary64))) |
(/ (pow x 2) (pow y 4)) |
(*.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x) |
(/ x (pow y 3)) |
(/.f64 x (pow.f64 y #s(literal 3 binary64))) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(* (pow x 2) (- (/ 1 (pow y 4)) (* 9 (/ 1 (pow x 2))))) |
(fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x #s(literal -9 binary64)) |
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2))) |
(/.f64 (/.f64 x y) y) |
(* -1 (* x (+ (* 3 (/ 1 x)) (/ (pow (sqrt -1) 2) (pow y 2))))) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y))) |
(/.f64 (sqrt.f64 x) y) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(/ (+ (* -9 (pow y 4)) (pow x 2)) (pow y 4)) |
(fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x #s(literal -9 binary64)) |
(sqrt y) |
(sqrt.f64 y) |
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) |
(/.f64 (/.f64 x y) y) |
(- (* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) 3) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(sqrt.f64 y) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 171 |
| 0 | 50 | 147 |
| 1 | 188 | 129 |
| 2 | 1312 | 126 |
| 0 | 8260 | 126 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) y)) |
(-.f64 (*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) y)) #s(literal 3 binary64)) |
(/.f64 (sqrt.f64 x) y) |
(sqrt.f64 x) |
(/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y)) |
(-.f64 (/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y)) #s(literal 3 binary64)) |
(/.f64 (/.f64 x y) (sqrt.f64 y)) |
(/.f64 x y) |
(/.f64 #s(approx (- (* x (/ x (pow y 4))) 9) (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x #s(literal -9 binary64))) (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y))) |
#s(approx (- (* x (/ x (pow y 4))) 9) (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x #s(literal -9 binary64))) |
(fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x #s(literal -9 binary64)) |
(/.f64 x (pow.f64 y #s(literal 4 binary64))) |
(*.f64 (/.f64 (/.f64 (/.f64 x y) y) y) (/.f64 x y)) |
(/.f64 (/.f64 (/.f64 x y) y) y) |
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (/.f64 x y) y) y) (/.f64 x y)) #s(literal 9 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y))) |
(-.f64 (*.f64 (/.f64 (/.f64 (/.f64 x y) y) y) (/.f64 x y)) #s(literal 9 binary64)) |
(sqrt.f64 y) |
(/.f64 (/.f64 x y) y) |
| Outputs |
|---|
(*.f64 (/.f64 (neg.f64 (sqrt.f64 x)) (pow.f64 y #s(literal 3/2 binary64))) (/.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 y))) |
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/2 binary64))) (/.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 x) y) (neg.f64 (sqrt.f64 y))) (/.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 y)))) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 y)) (/.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(*.f64 (/.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 y))) (/.f64 (/.f64 (sqrt.f64 x) y) (neg.f64 (sqrt.f64 y)))) |
(*.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 y)) (/.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 y))) |
(*.f64 (exp.f64 (log.f64 (/.f64 (sqrt.f64 x) y))) (exp.f64 (log.f64 (/.f64 (sqrt.f64 x) y)))) |
(*.f64 (/.f64 (sqrt.f64 x) (neg.f64 y)) (/.f64 (sqrt.f64 x) (neg.f64 y))) |
(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) y)) |
(*.f64 (sqrt.f64 x) (fabs.f64 (/.f64 (/.f64 (sqrt.f64 x) y) y))) |
(*.f64 (sqrt.f64 x) (fabs.f64 (/.f64 (sqrt.f64 x) (*.f64 y y)))) |
(*.f64 (sqrt.f64 x) (/.f64 (/.f64 (sqrt.f64 x) y) y)) |
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (*.f64 y y))) |
(pow.f64 (exp.f64 (log.f64 (/.f64 (sqrt.f64 x) y))) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (sqrt.f64 x) (neg.f64 y)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (sqrt.f64 x) y))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (sqrt.f64 x) y) (neg.f64 (sqrt.f64 x)))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))) (neg.f64 (*.f64 (neg.f64 y) y))) |
(/.f64 (neg.f64 (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))) (neg.f64 (*.f64 y (neg.f64 y)))) |
(/.f64 (fabs.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (sqrt.f64 x) y))) y) |
(/.f64 (fabs.f64 (*.f64 (/.f64 (sqrt.f64 x) y) (neg.f64 (sqrt.f64 x)))) y) |
(/.f64 (fabs.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))) (fabs.f64 (*.f64 (neg.f64 y) y))) |
(/.f64 (fabs.f64 (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))) (fabs.f64 (*.f64 y (neg.f64 y)))) |
(/.f64 (fabs.f64 (/.f64 (neg.f64 x) y)) (fabs.f64 (*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y)))) |
(/.f64 (fabs.f64 (/.f64 (neg.f64 x) y)) y) |
(/.f64 (fabs.f64 (/.f64 (neg.f64 x) (pow.f64 y #s(literal 3/2 binary64)))) (sqrt.f64 y)) |
(/.f64 (fabs.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64)))) (fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 y))))) |
(/.f64 (fabs.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64)))) (sqrt.f64 y)) |
(/.f64 (fabs.f64 (/.f64 x y)) y) |
(/.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (sqrt.f64 x) y)) (neg.f64 y)) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 x) y) (neg.f64 (sqrt.f64 x))) (neg.f64 y)) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (*.f64 (neg.f64 y) y))) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (*.f64 y y)))) |
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(-.f64 (/.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 12 binary64)) (+.f64 (fma.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) #s(literal 9 binary64) #s(literal 81 binary64)) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 8 binary64)))) (/.f64 #s(literal 729 binary64) (+.f64 (fma.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) #s(literal 9 binary64) #s(literal 81 binary64)) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 8 binary64))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 8 binary64)) (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x #s(literal 9 binary64))) (/.f64 #s(literal 81 binary64) (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x #s(literal 9 binary64)))) |
(-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) #s(literal 9 binary64)) |
(*.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64))) (neg.f64 (pow.f64 y #s(literal 1/4 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 y #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 y #s(literal 1/4 binary64)))) |
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 y))) (sqrt.f64 (neg.f64 (sqrt.f64 y)))) |
(*.f64 (sqrt.f64 (sqrt.f64 y)) (sqrt.f64 (sqrt.f64 y))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 y)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 y)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64))) |
(pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 y y) #s(literal 1/4 binary64)) |
(pow.f64 (sqrt.f64 y) #s(literal 1 binary64)) |
(pow.f64 y #s(literal 1/2 binary64)) |
(sqrt.f64 y) |
(fabs.f64 (neg.f64 (sqrt.f64 y))) |
(fabs.f64 (sqrt.f64 y)) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 (neg.f64 (sqrt.f64 x)) (pow.f64 y #s(literal 3/2 binary64))) (/.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 y))) |
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/2 binary64))) (/.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 x) y) (neg.f64 (sqrt.f64 y))) (/.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 y)))) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 y)) (/.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(*.f64 (/.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 y))) (/.f64 (/.f64 (sqrt.f64 x) y) (neg.f64 (sqrt.f64 y)))) |
(*.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 y)) (/.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 y))) |
(*.f64 (exp.f64 (log.f64 (/.f64 (sqrt.f64 x) y))) (exp.f64 (log.f64 (/.f64 (sqrt.f64 x) y)))) |
(*.f64 (/.f64 (sqrt.f64 x) (neg.f64 y)) (/.f64 (sqrt.f64 x) (neg.f64 y))) |
(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) y)) |
(*.f64 (sqrt.f64 x) (fabs.f64 (/.f64 (/.f64 (sqrt.f64 x) y) y))) |
(*.f64 (sqrt.f64 x) (fabs.f64 (/.f64 (sqrt.f64 x) (*.f64 y y)))) |
(*.f64 (sqrt.f64 x) (/.f64 (/.f64 (sqrt.f64 x) y) y)) |
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (*.f64 y y))) |
(pow.f64 (exp.f64 (log.f64 (/.f64 (sqrt.f64 x) y))) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (sqrt.f64 x) (neg.f64 y)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (sqrt.f64 x) y))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (sqrt.f64 x) y) (neg.f64 (sqrt.f64 x)))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))) (neg.f64 (*.f64 (neg.f64 y) y))) |
(/.f64 (neg.f64 (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))) (neg.f64 (*.f64 y (neg.f64 y)))) |
(/.f64 (fabs.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (sqrt.f64 x) y))) y) |
(/.f64 (fabs.f64 (*.f64 (/.f64 (sqrt.f64 x) y) (neg.f64 (sqrt.f64 x)))) y) |
(/.f64 (fabs.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))) (fabs.f64 (*.f64 (neg.f64 y) y))) |
(/.f64 (fabs.f64 (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))) (fabs.f64 (*.f64 y (neg.f64 y)))) |
(/.f64 (fabs.f64 (/.f64 (neg.f64 x) y)) (fabs.f64 (*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y)))) |
(/.f64 (fabs.f64 (/.f64 (neg.f64 x) y)) y) |
(/.f64 (fabs.f64 (/.f64 (neg.f64 x) (pow.f64 y #s(literal 3/2 binary64)))) (sqrt.f64 y)) |
(/.f64 (fabs.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64)))) (fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 y))))) |
(/.f64 (fabs.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64)))) (sqrt.f64 y)) |
(/.f64 (fabs.f64 (/.f64 x y)) y) |
(/.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (sqrt.f64 x) y)) (neg.f64 y)) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 x) y) (neg.f64 (sqrt.f64 x))) (neg.f64 y)) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (*.f64 (neg.f64 y) y))) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (*.f64 y y)))) |
(/.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 (neg.f64 y) y)) |
(/.f64 (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))) (*.f64 y (neg.f64 y))) |
(/.f64 (/.f64 (neg.f64 x) y) (neg.f64 (neg.f64 (neg.f64 y)))) |
(/.f64 (/.f64 (neg.f64 x) y) (*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y))) |
(/.f64 (/.f64 (neg.f64 x) y) (neg.f64 y)) |
(/.f64 (neg.f64 x) (neg.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (sqrt.f64 y)))) |
(/.f64 (neg.f64 x) (*.f64 (neg.f64 y) y)) |
(/.f64 (neg.f64 x) (neg.f64 (*.f64 y y))) |
(/.f64 (/.f64 (neg.f64 x) (pow.f64 y #s(literal 3/2 binary64))) (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 y))))) |
(/.f64 (/.f64 (neg.f64 x) (pow.f64 y #s(literal 3/2 binary64))) (neg.f64 (sqrt.f64 y))) |
(/.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) (neg.f64 (neg.f64 (sqrt.f64 y)))) |
(/.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) (sqrt.f64 y)) |
(/.f64 (/.f64 x y) (neg.f64 (*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y)))) |
(/.f64 (/.f64 x y) (neg.f64 (neg.f64 y))) |
(/.f64 (/.f64 x y) y) |
(/.f64 x (fabs.f64 (*.f64 (neg.f64 y) y))) |
(/.f64 x (fabs.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (sqrt.f64 y)))) |
(/.f64 x (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (sqrt.f64 y))) |
(/.f64 x (*.f64 y y)) |
(neg.f64 (/.f64 (/.f64 (neg.f64 x) (pow.f64 y #s(literal 3/2 binary64))) (sqrt.f64 y))) |
(neg.f64 (*.f64 (/.f64 (sqrt.f64 x) (neg.f64 y)) (/.f64 (sqrt.f64 x) y))) |
(neg.f64 (*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) (neg.f64 y)))) |
(neg.f64 (/.f64 (/.f64 (neg.f64 x) y) y)) |
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64))) |
(fabs.f64 (/.f64 (/.f64 (neg.f64 x) (pow.f64 y #s(literal 3/2 binary64))) (sqrt.f64 y))) |
(fabs.f64 (*.f64 (/.f64 (sqrt.f64 x) (neg.f64 y)) (/.f64 (sqrt.f64 x) y))) |
(fabs.f64 (*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) (neg.f64 y)))) |
(fabs.f64 (/.f64 (/.f64 (neg.f64 x) y) y)) |
(fabs.f64 (/.f64 (/.f64 x y) y)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 x) (neg.f64 y))) #s(literal 2 binary64))) |
(exp.f64 (log.f64 (/.f64 (/.f64 x y) y))) |
(+.f64 (cosh.f64 (log.f64 (/.f64 (/.f64 x y) y))) (sinh.f64 (log.f64 (/.f64 (/.f64 x y) y)))) |
Compiled 16 580 to 2 300 computations (86.1% saved)
9 alts after pruning (3 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 648 | 3 | 651 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 3 | 4 |
| Done | 0 | 3 | 3 |
| Total | 649 | 9 | 658 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 59.3% | (/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (/.f64 x y) y) y) (/.f64 x y)) #s(literal 9 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y))) |
| ▶ | 56.7% | (/.f64 (-.f64 (*.f64 (/.f64 (/.f64 x y) (*.f64 y y)) (/.f64 x y)) #s(literal 9 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y))) |
| ✓ | 99.8% | (-.f64 (/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y)) #s(literal 3 binary64)) |
| ▶ | 97.5% | (-.f64 (/.f64 (/.f64 (neg.f64 x) (*.f64 (neg.f64 y) (sqrt.f64 y))) (sqrt.f64 y)) #s(literal 3 binary64)) |
| ▶ | 99.8% | (-.f64 (/.f64 (/.f64 (neg.f64 x) y) (*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y))) #s(literal 3 binary64)) |
| ✓ | 99.9% | (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
| ✓ | 92.3% | (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
| ✓ | 44.8% | (-.f64 (*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) y)) #s(literal 3 binary64)) |
| ✓ | 44.2% | #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) |
Compiled 113 to 78 computations (31% saved)
| 1× | egg-herbie |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 (*.f64 (/.f64 (/.f64 x y) (*.f64 y y)) (/.f64 x y)) #s(literal 9 binary64)) | |
| cost-diff | 0 | (/.f64 (-.f64 (*.f64 (/.f64 (/.f64 x y) (*.f64 y y)) (/.f64 x y)) #s(literal 9 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y))) | |
| cost-diff | 2 | (/.f64 (/.f64 x y) (*.f64 y y)) | |
| cost-diff | 2 | (*.f64 (/.f64 (/.f64 x y) (*.f64 y y)) (/.f64 x y)) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (-.f64 (/.f64 (/.f64 (neg.f64 x) (*.f64 (neg.f64 y) (sqrt.f64 y))) (sqrt.f64 y)) #s(literal 3 binary64)) | |
| cost-diff | 2 | (/.f64 (neg.f64 x) (*.f64 (neg.f64 y) (sqrt.f64 y))) | |
| cost-diff | 4 | (/.f64 (/.f64 (neg.f64 x) (*.f64 (neg.f64 y) (sqrt.f64 y))) (sqrt.f64 y)) | |
| cost-diff | 0 | (/.f64 (neg.f64 x) y) | |
| cost-diff | 0 | (-.f64 (/.f64 (/.f64 (neg.f64 x) y) (*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y))) #s(literal 3 binary64)) | |
| cost-diff | 2 | (/.f64 (/.f64 (neg.f64 x) y) (*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y))) | |
| cost-diff | 4 | (*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y)) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 164 |
| 0 | 44 | 174 |
| 1 | 77 | 128 |
| 2 | 186 | 126 |
| 3 | 731 | 120 |
| 4 | 3052 | 120 |
| 5 | 6041 | 120 |
| 0 | 8292 | 120 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 (/.f64 (neg.f64 x) y) (*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y))) #s(literal 3 binary64)) |
(/.f64 (/.f64 (neg.f64 x) y) (*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y))) |
(/.f64 (neg.f64 x) y) |
(neg.f64 x) |
x |
y |
(*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y)) |
(neg.f64 (sqrt.f64 y)) |
(sqrt.f64 y) |
#s(literal 3 binary64) |
(-.f64 (/.f64 (/.f64 (neg.f64 x) (*.f64 (neg.f64 y) (sqrt.f64 y))) (sqrt.f64 y)) #s(literal 3 binary64)) |
(/.f64 (/.f64 (neg.f64 x) (*.f64 (neg.f64 y) (sqrt.f64 y))) (sqrt.f64 y)) |
(/.f64 (neg.f64 x) (*.f64 (neg.f64 y) (sqrt.f64 y))) |
(neg.f64 x) |
x |
(*.f64 (neg.f64 y) (sqrt.f64 y)) |
(neg.f64 y) |
y |
(sqrt.f64 y) |
#s(literal 3 binary64) |
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 x y) (*.f64 y y)) (/.f64 x y)) #s(literal 9 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y))) |
(-.f64 (*.f64 (/.f64 (/.f64 x y) (*.f64 y y)) (/.f64 x y)) #s(literal 9 binary64)) |
(*.f64 (/.f64 (/.f64 x y) (*.f64 y y)) (/.f64 x y)) |
(/.f64 (/.f64 x y) (*.f64 y y)) |
(/.f64 x y) |
x |
y |
(*.f64 y y) |
#s(literal 9 binary64) |
(+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y)) |
#s(literal 3 binary64) |
(/.f64 (/.f64 x y) y) |
| Outputs |
|---|
(-.f64 (/.f64 (/.f64 (neg.f64 x) y) (*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y))) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(/.f64 (/.f64 (neg.f64 x) y) (*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y))) |
(/.f64 (/.f64 x y) y) |
(/.f64 (neg.f64 x) y) |
(neg.f64 x) |
x |
y |
(*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y)) |
(neg.f64 y) |
(neg.f64 (sqrt.f64 y)) |
(sqrt.f64 y) |
#s(literal 3 binary64) |
(-.f64 (/.f64 (/.f64 (neg.f64 x) (*.f64 (neg.f64 y) (sqrt.f64 y))) (sqrt.f64 y)) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(/.f64 (/.f64 (neg.f64 x) (*.f64 (neg.f64 y) (sqrt.f64 y))) (sqrt.f64 y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 (neg.f64 x) (*.f64 (neg.f64 y) (sqrt.f64 y))) |
(/.f64 (/.f64 x (sqrt.f64 y)) y) |
(neg.f64 x) |
x |
(*.f64 (neg.f64 y) (sqrt.f64 y)) |
(neg.f64 y) |
y |
(sqrt.f64 y) |
#s(literal 3 binary64) |
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 x y) (*.f64 y y)) (/.f64 x y)) #s(literal 9 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y))) |
(/.f64 (-.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x) #s(literal 9 binary64)) (+.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))) |
(-.f64 (*.f64 (/.f64 (/.f64 x y) (*.f64 y y)) (/.f64 x y)) #s(literal 9 binary64)) |
(-.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x) #s(literal 9 binary64)) |
(*.f64 (/.f64 (/.f64 x y) (*.f64 y y)) (/.f64 x y)) |
(*.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x) |
(/.f64 (/.f64 x y) (*.f64 y y)) |
(/.f64 x (pow.f64 y #s(literal 3 binary64))) |
(/.f64 x y) |
x |
y |
(*.f64 y y) |
#s(literal 9 binary64) |
(+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y)) |
(+.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(/.f64 (/.f64 x y) y) |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.12109375 | (/.f64 (/.f64 x y) y) | |
| accuracy | 0.5868792281678483 | (*.f64 (/.f64 (/.f64 x y) (*.f64 y y)) (/.f64 x y)) | |
| accuracy | 2.520004148081592 | (/.f64 (/.f64 x y) (*.f64 y y)) | |
| accuracy | 23.829734877780965 | (/.f64 (-.f64 (*.f64 (/.f64 (/.f64 x y) (*.f64 y y)) (/.f64 x y)) #s(literal 9 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y))) | |
| accuracy | 0.0 | (neg.f64 x) | |
| accuracy | 0.14453125 | (/.f64 (/.f64 (neg.f64 x) (*.f64 (neg.f64 y) (sqrt.f64 y))) (sqrt.f64 y)) | |
| accuracy | 0.171875 | (*.f64 (neg.f64 y) (sqrt.f64 y)) | |
| accuracy | 7.7186240314455254 | (/.f64 (neg.f64 x) (*.f64 (neg.f64 y) (sqrt.f64 y))) | |
| accuracy | 0.0 | (neg.f64 (sqrt.f64 y)) | |
| accuracy | 0.0 | (neg.f64 x) | |
| accuracy | 0.12109375 | (/.f64 (/.f64 (neg.f64 x) y) (*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y))) | |
| accuracy | 0.4296875 | (*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y)) |
| 75.0ms | 256× | 0 | valid |
Compiled 166 to 26 computations (84.3% saved)
ival-sub: 20.0ms (42.2% of total)ival-div: 12.0ms (25.3% of total)ival-mult: 9.0ms (19% of total)ival-neg: 3.0ms (6.3% of total)ival-sqrt: 2.0ms (4.2% of total)ival-add: 1.0ms (2.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y)) |
(/.f64 (/.f64 (neg.f64 x) y) (*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y))) |
(-.f64 (/.f64 (/.f64 (neg.f64 x) y) (*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y))) #s(literal 3 binary64)) |
(/.f64 (neg.f64 x) y) |
(/.f64 (/.f64 (neg.f64 x) (*.f64 (neg.f64 y) (sqrt.f64 y))) (sqrt.f64 y)) |
(/.f64 (neg.f64 x) (*.f64 (neg.f64 y) (sqrt.f64 y))) |
(-.f64 (/.f64 (/.f64 (neg.f64 x) (*.f64 (neg.f64 y) (sqrt.f64 y))) (sqrt.f64 y)) #s(literal 3 binary64)) |
(neg.f64 x) |
(*.f64 (/.f64 (/.f64 x y) (*.f64 y y)) (/.f64 x y)) |
(/.f64 (/.f64 x y) (*.f64 y y)) |
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 x y) (*.f64 y y)) (/.f64 x y)) #s(literal 9 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y))) |
(-.f64 (*.f64 (/.f64 (/.f64 x y) (*.f64 y y)) (/.f64 x y)) #s(literal 9 binary64)) |
(neg.f64 (sqrt.f64 y)) |
(*.f64 (neg.f64 y) (sqrt.f64 y)) |
(/.f64 (/.f64 x y) y) |
| Outputs |
|---|
(/ x (pow y 2)) |
-3 |
(- (/ x (pow y 2)) 3) |
(* -1 (/ x y)) |
(* x (sqrt (/ 1 (pow y 3)))) |
(* -1 x) |
(/ (pow x 2) (pow y 4)) |
(/ x (pow y 3)) |
-9 |
(- (/ (pow x 2) (pow y 4)) 9) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* (pow x 2) (- (/ 1 (pow y 4)) (* 9 (/ 1 (pow x 2))))) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(* -1 y) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/ (+ (* -9 (pow y 4)) (pow x 2)) (pow y 4)) |
(* -1 (sqrt y)) |
(* -1 (sqrt (pow y 3))) |
(* y (pow (sqrt -1) 2)) |
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) |
(- (* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) 3) |
(* (sqrt y) (pow (sqrt -1) 2)) |
(* (sqrt (pow y 3)) (pow (sqrt -1) 2)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | y | @ | -inf | ((* (neg (sqrt y)) (sqrt y)) (/ (/ (neg x) y) (* (neg (sqrt y)) (sqrt y))) (- (/ (/ (neg x) y) (* (neg (sqrt y)) (sqrt y))) 3) (/ (neg x) y) (/ (/ (neg x) (* (neg y) (sqrt y))) (sqrt y)) (/ (neg x) (* (neg y) (sqrt y))) (- (/ (/ (neg x) (* (neg y) (sqrt y))) (sqrt y)) 3) (neg x) (* (/ (/ x y) (* y y)) (/ x y)) (/ (/ x y) (* y y)) (/ (- (* (/ (/ x y) (* y y)) (/ x y)) 9) (+ 3 (/ (/ x y) y))) (- (* (/ (/ x y) (* y y)) (/ x y)) 9) (neg (sqrt y)) (* (neg y) (sqrt y)) (/ (/ x y) y)) |
| 4.0ms | y | @ | inf | ((* (neg (sqrt y)) (sqrt y)) (/ (/ (neg x) y) (* (neg (sqrt y)) (sqrt y))) (- (/ (/ (neg x) y) (* (neg (sqrt y)) (sqrt y))) 3) (/ (neg x) y) (/ (/ (neg x) (* (neg y) (sqrt y))) (sqrt y)) (/ (neg x) (* (neg y) (sqrt y))) (- (/ (/ (neg x) (* (neg y) (sqrt y))) (sqrt y)) 3) (neg x) (* (/ (/ x y) (* y y)) (/ x y)) (/ (/ x y) (* y y)) (/ (- (* (/ (/ x y) (* y y)) (/ x y)) 9) (+ 3 (/ (/ x y) y))) (- (* (/ (/ x y) (* y y)) (/ x y)) 9) (neg (sqrt y)) (* (neg y) (sqrt y)) (/ (/ x y) y)) |
| 3.0ms | x | @ | -inf | ((* (neg (sqrt y)) (sqrt y)) (/ (/ (neg x) y) (* (neg (sqrt y)) (sqrt y))) (- (/ (/ (neg x) y) (* (neg (sqrt y)) (sqrt y))) 3) (/ (neg x) y) (/ (/ (neg x) (* (neg y) (sqrt y))) (sqrt y)) (/ (neg x) (* (neg y) (sqrt y))) (- (/ (/ (neg x) (* (neg y) (sqrt y))) (sqrt y)) 3) (neg x) (* (/ (/ x y) (* y y)) (/ x y)) (/ (/ x y) (* y y)) (/ (- (* (/ (/ x y) (* y y)) (/ x y)) 9) (+ 3 (/ (/ x y) y))) (- (* (/ (/ x y) (* y y)) (/ x y)) 9) (neg (sqrt y)) (* (neg y) (sqrt y)) (/ (/ x y) y)) |
| 3.0ms | x | @ | inf | ((* (neg (sqrt y)) (sqrt y)) (/ (/ (neg x) y) (* (neg (sqrt y)) (sqrt y))) (- (/ (/ (neg x) y) (* (neg (sqrt y)) (sqrt y))) 3) (/ (neg x) y) (/ (/ (neg x) (* (neg y) (sqrt y))) (sqrt y)) (/ (neg x) (* (neg y) (sqrt y))) (- (/ (/ (neg x) (* (neg y) (sqrt y))) (sqrt y)) 3) (neg x) (* (/ (/ x y) (* y y)) (/ x y)) (/ (/ x y) (* y y)) (/ (- (* (/ (/ x y) (* y y)) (/ x y)) 9) (+ 3 (/ (/ x y) y))) (- (* (/ (/ x y) (* y y)) (/ x y)) 9) (neg (sqrt y)) (* (neg y) (sqrt y)) (/ (/ x y) y)) |
| 3.0ms | y | @ | 0 | ((* (neg (sqrt y)) (sqrt y)) (/ (/ (neg x) y) (* (neg (sqrt y)) (sqrt y))) (- (/ (/ (neg x) y) (* (neg (sqrt y)) (sqrt y))) 3) (/ (neg x) y) (/ (/ (neg x) (* (neg y) (sqrt y))) (sqrt y)) (/ (neg x) (* (neg y) (sqrt y))) (- (/ (/ (neg x) (* (neg y) (sqrt y))) (sqrt y)) 3) (neg x) (* (/ (/ x y) (* y y)) (/ x y)) (/ (/ x y) (* y y)) (/ (- (* (/ (/ x y) (* y y)) (/ x y)) 9) (+ 3 (/ (/ x y) y))) (- (* (/ (/ x y) (* y y)) (/ x y)) 9) (neg (sqrt y)) (* (neg y) (sqrt y)) (/ (/ x y) y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 135 |
| 1 | 115 | 135 |
| 2 | 278 | 135 |
| 0 | 878 | 132 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| Inputs |
|---|
(/ x (pow y 2)) |
-3 |
(- (/ x (pow y 2)) 3) |
(* -1 (/ x y)) |
(* x (sqrt (/ 1 (pow y 3)))) |
(* -1 x) |
(/ (pow x 2) (pow y 4)) |
(/ x (pow y 3)) |
-9 |
(- (/ (pow x 2) (pow y 4)) 9) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* (pow x 2) (- (/ 1 (pow y 4)) (* 9 (/ 1 (pow x 2))))) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(* -1 y) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/ (+ (* -9 (pow y 4)) (pow x 2)) (pow y 4)) |
(* -1 (sqrt y)) |
(* -1 (sqrt (pow y 3))) |
(* y (pow (sqrt -1) 2)) |
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) |
(- (* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) 3) |
(* (sqrt y) (pow (sqrt -1) 2)) |
(* (sqrt (pow y 3)) (pow (sqrt -1) 2)) |
| Outputs |
|---|
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
-3 |
#s(literal -3 binary64) |
(- (/ x (pow y 2)) 3) |
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* x (sqrt (/ 1 (pow y 3)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) x) |
(* -1 x) |
(neg.f64 x) |
(/ (pow x 2) (pow y 4)) |
(*.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x) |
(/ x (pow y 3)) |
(/.f64 x (pow.f64 y #s(literal 3 binary64))) |
-9 |
#s(literal -9 binary64) |
(- (/ (pow x 2) (pow y 4)) 9) |
(fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x #s(literal -9 binary64)) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(fma.f64 (/.f64 #s(literal -3 binary64) x) x (/.f64 x (*.f64 y y))) |
(* (pow x 2) (- (/ 1 (pow y 4)) (* 9 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 9 binary64) (*.f64 x x))) x) x) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (neg.f64 x)) |
(* -1 y) |
(neg.f64 y) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
(/ (+ (* -9 (pow y 4)) (pow x 2)) (pow y 4)) |
(fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x #s(literal -9 binary64)) |
(* -1 (sqrt y)) |
(neg.f64 (sqrt.f64 y)) |
(* -1 (sqrt (pow y 3))) |
(neg.f64 (sqrt.f64 (pow.f64 y #s(literal 3 binary64)))) |
(* y (pow (sqrt -1) 2)) |
(neg.f64 y) |
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) |
(/.f64 x (*.f64 y y)) |
(- (* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) 3) |
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
(* (sqrt y) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 y)) |
(* (sqrt (pow y 3)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (pow.f64 y #s(literal 3 binary64)))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 133 |
| 0 | 44 | 129 |
| 1 | 148 | 79 |
| 2 | 1075 | 77 |
| 0 | 8380 | 77 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y)) |
(/.f64 (/.f64 (neg.f64 x) y) (*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y))) |
(-.f64 (/.f64 (/.f64 (neg.f64 x) y) (*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y))) #s(literal 3 binary64)) |
(/.f64 (neg.f64 x) y) |
(/.f64 (/.f64 (neg.f64 x) (*.f64 (neg.f64 y) (sqrt.f64 y))) (sqrt.f64 y)) |
(/.f64 (neg.f64 x) (*.f64 (neg.f64 y) (sqrt.f64 y))) |
(-.f64 (/.f64 (/.f64 (neg.f64 x) (*.f64 (neg.f64 y) (sqrt.f64 y))) (sqrt.f64 y)) #s(literal 3 binary64)) |
(neg.f64 x) |
(*.f64 (/.f64 (/.f64 x y) (*.f64 y y)) (/.f64 x y)) |
(/.f64 (/.f64 x y) (*.f64 y y)) |
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 x y) (*.f64 y y)) (/.f64 x y)) #s(literal 9 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y))) |
(-.f64 (*.f64 (/.f64 (/.f64 x y) (*.f64 y y)) (/.f64 x y)) #s(literal 9 binary64)) |
(neg.f64 (sqrt.f64 y)) |
(*.f64 (neg.f64 y) (sqrt.f64 y)) |
(/.f64 (/.f64 x y) y) |
| Outputs |
|---|
(*.f64 (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 y)))) (sqrt.f64 y)) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 y))) (neg.f64 (sqrt.f64 y))) |
(*.f64 (neg.f64 (sqrt.f64 y)) (neg.f64 (neg.f64 (sqrt.f64 y)))) |
(*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y)) |
(*.f64 (sqrt.f64 y) (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 y))))) |
(*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y))) |
(neg.f64 y) |
(/.f64 (/.f64 (neg.f64 x) (pow.f64 y #s(literal 3/2 binary64))) (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 y))))) |
(/.f64 (/.f64 (neg.f64 x) (pow.f64 y #s(literal 3/2 binary64))) (neg.f64 (sqrt.f64 y))) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) (neg.f64 (neg.f64 (sqrt.f64 y)))) |
(/.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) (sqrt.f64 y)) |
(/.f64 (/.f64 (neg.f64 x) y) (neg.f64 y)) |
(/.f64 (neg.f64 x) (*.f64 (neg.f64 y) y)) |
(/.f64 x (*.f64 y y)) |
(neg.f64 (/.f64 (/.f64 (neg.f64 x) y) y)) |
(*.f64 (/.f64 (-.f64 (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) #s(literal 9 binary64)) (-.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))))) (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y))) |
(*.f64 (/.f64 (-.f64 (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) #s(literal 9 binary64)) (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 27 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) #s(literal 9 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (fma.f64 (/.f64 #s(literal 3 binary64) y) (/.f64 x y) #s(literal 9 binary64)) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))))) (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (fma.f64 (/.f64 #s(literal 3 binary64) y) (/.f64 x y) #s(literal 9 binary64)) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)))))) (*.f64 (/.f64 #s(literal 27 binary64) (+.f64 (fma.f64 (/.f64 #s(literal 3 binary64) y) (/.f64 x y) #s(literal 9 binary64)) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))))) (/.f64 #s(literal 27 binary64) (+.f64 (fma.f64 (/.f64 #s(literal 3 binary64) y) (/.f64 x y) #s(literal 9 binary64)) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))))))) (+.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (fma.f64 (/.f64 #s(literal 3 binary64) y) (/.f64 x y) #s(literal 9 binary64)) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))))) (/.f64 #s(literal 27 binary64) (+.f64 (fma.f64 (/.f64 #s(literal 3 binary64) y) (/.f64 x y) #s(literal 9 binary64)) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (fma.f64 (/.f64 #s(literal 3 binary64) y) (/.f64 x y) #s(literal 9 binary64)) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 27 binary64) (+.f64 (fma.f64 (/.f64 #s(literal 3 binary64) y) (/.f64 x y) #s(literal 9 binary64)) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (fma.f64 (/.f64 #s(literal 3 binary64) y) (/.f64 x y) #s(literal 9 binary64)) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))))) (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (fma.f64 (/.f64 #s(literal 3 binary64) y) (/.f64 x y) #s(literal 9 binary64)) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))))) (fma.f64 (/.f64 #s(literal 27 binary64) (+.f64 (fma.f64 (/.f64 #s(literal 3 binary64) y) (/.f64 x y) #s(literal 9 binary64)) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))))) (/.f64 #s(literal 27 binary64) (+.f64 (fma.f64 (/.f64 #s(literal 3 binary64) y) (/.f64 x y) #s(literal 9 binary64)) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))))) (*.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (fma.f64 (/.f64 #s(literal 3 binary64) y) (/.f64 x y) #s(literal 9 binary64)) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))))) (/.f64 #s(literal 27 binary64) (+.f64 (fma.f64 (/.f64 #s(literal 3 binary64) y) (/.f64 x y) #s(literal 9 binary64)) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))))))))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (+.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)))) (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y))) (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)))) (neg.f64 (/.f64 (+.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)))) (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 9 binary64) (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal 9 binary64) (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y))) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y))) (/.f64 #s(literal 9 binary64) (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y)))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 27 binary64)))) (neg.f64 (neg.f64 (+.f64 (fma.f64 (/.f64 #s(literal 3 binary64) y) (/.f64 x y) #s(literal 9 binary64)) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))))))) |
(/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 (neg.f64 x) y) y)) #s(literal 9 binary64)))) (neg.f64 (pow.f64 (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y)) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (fma.f64 (/.f64 #s(literal 3 binary64) y) (/.f64 x y) #s(literal 9 binary64)) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))))) (*.f64 (+.f64 (fma.f64 (/.f64 #s(literal 3 binary64) y) (/.f64 x y) #s(literal 9 binary64)) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)))) #s(literal 27 binary64))) (*.f64 (+.f64 (fma.f64 (/.f64 #s(literal 3 binary64) y) (/.f64 x y) #s(literal 9 binary64)) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)))) (+.f64 (fma.f64 (/.f64 #s(literal 3 binary64) y) (/.f64 x y) #s(literal 9 binary64)) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)))))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)))) (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 (neg.f64 x) y) y))) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 (neg.f64 x) y) y)) #s(literal -9 binary64))) (pow.f64 (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)))) (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y))) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 (neg.f64 x) y) y)) #s(literal 9 binary64))) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 (neg.f64 x) y) y)) (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 (neg.f64 x) y) y))) (*.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y))) #s(literal -9 binary64))) (*.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y))) (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 (neg.f64 x) y) y)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y))) (*.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y))) #s(literal 9 binary64))) (*.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y))) (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 (neg.f64 x) y) y))) (*.f64 (*.f64 y (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y))) #s(literal -9 binary64))) (*.f64 (*.f64 y (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y))) (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 (neg.f64 x) y) y)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y))) (*.f64 (*.f64 y (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y))) #s(literal 9 binary64))) (*.f64 (*.f64 y (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y))) (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 x y) x) (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 (neg.f64 x) y) y))) (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y))) #s(literal -9 binary64))) (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y))) (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 (neg.f64 x) y) y)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 x y) x) (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y))) (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y))) #s(literal 9 binary64))) (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y))) (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 (neg.f64 x) y) y))) (*.f64 (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y)) #s(literal -9 binary64))) (*.f64 (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y)) (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 (neg.f64 x) y) y)))) |
(/.f64 (-.f64 (neg.f64 (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)))) #s(literal -9 binary64)) (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 (neg.f64 x) y) y))) |
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(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 4 binary64)) (+.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))))) (/.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 4 binary64)) (+.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)))))) (*.f64 (/.f64 #s(literal 81 binary64) (+.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))))) (/.f64 #s(literal 81 binary64) (+.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))))))) (+.f64 (/.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 4 binary64)) (+.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))))) (/.f64 #s(literal 81 binary64) (+.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 6 binary64)) (+.f64 (fma.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) #s(literal 81 binary64)) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 4 binary64)))) (/.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 6 binary64)) (+.f64 (fma.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) #s(literal 81 binary64)) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 4 binary64))))) (*.f64 (/.f64 #s(literal 729 binary64) (+.f64 (fma.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) #s(literal 81 binary64)) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 4 binary64)))) (/.f64 #s(literal 729 binary64) (+.f64 (fma.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) #s(literal 81 binary64)) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 4 binary64)))))) (+.f64 (/.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 6 binary64)) (+.f64 (fma.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) #s(literal 81 binary64)) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 4 binary64)))) (/.f64 #s(literal 729 binary64) (+.f64 (fma.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) #s(literal 81 binary64)) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 4 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 4 binary64)) (+.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 81 binary64) (+.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 4 binary64)) (+.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))))) (/.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 4 binary64)) (+.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))))) (fma.f64 (/.f64 #s(literal 81 binary64) (+.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))))) (/.f64 #s(literal 81 binary64) (+.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))))) (*.f64 (/.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 4 binary64)) (+.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))))) (/.f64 #s(literal 81 binary64) (+.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 6 binary64)) (+.f64 (fma.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) #s(literal 81 binary64)) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 729 binary64) (+.f64 (fma.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) #s(literal 81 binary64)) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 4 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 6 binary64)) (+.f64 (fma.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) #s(literal 81 binary64)) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 4 binary64)))) (/.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 6 binary64)) (+.f64 (fma.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) #s(literal 81 binary64)) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 4 binary64)))) (fma.f64 (/.f64 #s(literal 729 binary64) (+.f64 (fma.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) #s(literal 81 binary64)) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 4 binary64)))) (/.f64 #s(literal 729 binary64) (+.f64 (fma.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) #s(literal 81 binary64)) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 4 binary64)))) (*.f64 (/.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 6 binary64)) (+.f64 (fma.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) #s(literal 81 binary64)) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 4 binary64)))) (/.f64 #s(literal 729 binary64) (+.f64 (fma.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) #s(literal 81 binary64)) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 4 binary64)))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 4 binary64)) #s(literal 81 binary64)))) (neg.f64 (neg.f64 (+.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 6 binary64)) #s(literal 729 binary64)))) (neg.f64 (neg.f64 (+.f64 (fma.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) #s(literal 81 binary64)) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 4 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 4 binary64)) (+.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))))) (*.f64 (+.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)))) #s(literal 81 binary64))) (*.f64 (+.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)))) (+.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 6 binary64)) (+.f64 (fma.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) #s(literal 81 binary64)) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 4 binary64)))) (*.f64 (+.f64 (fma.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) #s(literal 81 binary64)) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 4 binary64))) #s(literal 729 binary64))) (*.f64 (+.f64 (fma.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) #s(literal 81 binary64)) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 4 binary64))) (+.f64 (fma.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) #s(literal 81 binary64)) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 4 binary64)) #s(literal 81 binary64))) (neg.f64 (+.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 6 binary64)) #s(literal 729 binary64))) (neg.f64 (+.f64 (fma.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) #s(literal 81 binary64)) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 4 binary64)) #s(literal 81 binary64)) (+.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 6 binary64)) #s(literal 729 binary64)) (+.f64 (fma.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) #s(literal 81 binary64)) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 4 binary64)))) |
(neg.f64 (neg.f64 (-.f64 (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) #s(literal 9 binary64)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 4 binary64)) (+.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))))) (/.f64 #s(literal 81 binary64) (+.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 6 binary64)) (+.f64 (fma.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) #s(literal 81 binary64)) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 4 binary64)))) (/.f64 #s(literal 729 binary64) (+.f64 (fma.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) #s(literal 81 binary64)) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 4 binary64))))) |
(-.f64 (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) #s(literal 9 binary64)) |
(*.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (neg.f64 (pow.f64 y #s(literal 1/4 binary64)))) |
(neg.f64 (sqrt.f64 y)) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 y)) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 y)) #s(literal 3/2 binary64))) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 y))) (neg.f64 y)) |
(*.f64 (neg.f64 y) (neg.f64 (neg.f64 (sqrt.f64 y)))) |
(*.f64 (neg.f64 y) (sqrt.f64 y)) |
(*.f64 (neg.f64 (sqrt.f64 y)) y) |
(*.f64 (sqrt.f64 y) (neg.f64 y)) |
(*.f64 y (neg.f64 (sqrt.f64 y))) |
(pow.f64 (neg.f64 (sqrt.f64 y)) #s(literal 3 binary64)) |
(neg.f64 (pow.f64 y #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 (sqrt.f64 y))) #s(literal 3 binary64))) |
(/.f64 (/.f64 (neg.f64 x) (pow.f64 y #s(literal 3/2 binary64))) (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 y))))) |
(/.f64 (/.f64 (neg.f64 x) (pow.f64 y #s(literal 3/2 binary64))) (neg.f64 (sqrt.f64 y))) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) (neg.f64 (neg.f64 (sqrt.f64 y)))) |
(/.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) (sqrt.f64 y)) |
(/.f64 (/.f64 (neg.f64 x) y) (neg.f64 y)) |
(/.f64 (neg.f64 x) (*.f64 (neg.f64 y) y)) |
(/.f64 x (*.f64 y y)) |
(neg.f64 (/.f64 (/.f64 (neg.f64 x) y) y)) |
Compiled 7 853 to 1 008 computations (87.2% saved)
8 alts after pruning (1 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 266 | 1 | 267 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 1 | 3 |
| Done | 0 | 6 | 6 |
| Total | 268 | 8 | 276 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 59.3% | (/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (/.f64 x y) y) y) (/.f64 x y)) #s(literal 9 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y))) |
| ✓ | 99.8% | (-.f64 (/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y)) #s(literal 3 binary64)) |
| ✓ | 97.5% | (-.f64 (/.f64 (/.f64 (neg.f64 x) (*.f64 (neg.f64 y) (sqrt.f64 y))) (sqrt.f64 y)) #s(literal 3 binary64)) |
| ✓ | 99.9% | (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
| ✓ | 92.3% | (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
| ✓ | 44.8% | (-.f64 (*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) y)) #s(literal 3 binary64)) |
| 91.0% | #s(approx (- (/ (/ (neg x) y) (* (neg (sqrt y)) (sqrt y))) 3) (*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (neg.f64 x))) | |
| ✓ | 44.2% | #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) |
Compiled 302 to 151 computations (50% saved)
| Inputs |
|---|
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) |
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
#s(approx (- (/ (/ (neg x) y) (* (neg (sqrt y)) (sqrt y))) 3) (*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (neg.f64 x))) |
(-.f64 (*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) y)) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 (neg.f64 x) y) (*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y))) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 (neg.f64 x) (*.f64 (neg.f64 y) (sqrt.f64 y))) (sqrt.f64 y)) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y)) #s(literal 3 binary64)) |
(-.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 x y) y)) (sqrt.f64 (/.f64 (/.f64 x y) y))) #s(literal 3 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 x y) (*.f64 y y)) (/.f64 x y)) #s(literal 9 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y))) |
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (/.f64 x y) y) y) (/.f64 x y)) #s(literal 9 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y))) |
(/.f64 #s(approx (- (* x (/ x (pow y 4))) 9) (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x #s(literal -9 binary64))) (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y))) |
(/.f64 (-.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal 9 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y))) |
| Outputs |
|---|
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
5 calls:
| 8.0ms | x |
| 6.0ms | (*.f64 y y) |
| 4.0ms | y |
| 3.0ms | (/.f64 x (*.f64 y y)) |
| 3.0ms | (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
| 99.9% | 1 | (/.f64 x (*.f64 y y)) |
| 99.9% | 1 | (*.f64 y y) |
Compiled 17 to 17 computations (0% saved)
| Inputs |
|---|
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) |
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
| Outputs |
|---|
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
5 calls:
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | (/.f64 x (*.f64 y y)) |
| 1.0ms | (*.f64 y y) |
| 1.0ms | (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.3% | 1 | x |
| 92.3% | 1 | y |
| 92.3% | 1 | (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
| 92.3% | 1 | (/.f64 x (*.f64 y y)) |
| 92.3% | 1 | (*.f64 y y) |
Compiled 17 to 17 computations (0% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) |
| Outputs |
|---|
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) |
5 calls:
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | (*.f64 y y) |
| 1.0ms | (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
| 1.0ms | (/.f64 x (*.f64 y y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 44.2% | 1 | (*.f64 y y) |
| 44.2% | 1 | y |
| 44.2% | 1 | (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
| 44.2% | 1 | (/.f64 x (*.f64 y y)) |
| 44.2% | 1 | x |
Compiled 17 to 17 computations (0% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 23 |
| 1 | 23 | 23 |
| 2 | 45 | 23 |
| 3 | 72 | 23 |
| 4 | 94 | 23 |
| 5 | 107 | 23 |
| 6 | 115 | 23 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) |
| Outputs |
|---|
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 37 |
| 1 | 44 | 37 |
| 2 | 103 | 37 |
| 3 | 336 | 37 |
| 4 | 901 | 37 |
| 5 | 3148 | 37 |
| 6 | 5679 | 37 |
| 7 | 6618 | 37 |
| 8 | 7161 | 37 |
| 0 | 8033 | 37 |
| 0 | 6 | 15 |
| 0 | 9 | 15 |
| 1 | 34 | 15 |
| 2 | 210 | 15 |
| 3 | 3217 | 15 |
| 0 | 8736 | 15 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 38 to 27 computations (28.9% saved)
(abs y)
Compiled 102 to 78 computations (23.5% saved)
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