
Time bar (total: 4.1s)
| 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)
| 501.0ms | 8 256× | 0 | valid |
ival-sub: 82.0ms (33.4% of total)ival-mult: 78.0ms (31.8% of total)ival-div: 72.0ms (29.3% of total)ival-true: 6.0ms (2.4% of total)exact: 5.0ms (2% of total)ival-assert: 3.0ms (1.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 31 | 0 | - | 1 | (-8.823135334617791e-153 -9.393786393546434e-161) | (/.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 | 8 | 0 |
| ↳ | (*.f64 y y) | underflow | 54 | |
/.f64 | (/.f64 x (*.f64 y y)) | n/o | 1 | 0 |
| ↳ | (*.f64 y y) | overflow | 63 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 8 | 1 |
| - | 1 | 246 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 8 | 0 | 1 |
| - | 1 | 0 | 246 |
| number | freq |
|---|---|
| 0 | 247 |
| 1 | 9 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 31.0ms | 512× | 0 | valid |
Compiled 47 to 22 computations (53.2% saved)
ival-mult: 4.0ms (38.2% of total)ival-div: 3.0ms (28.7% of total)ival-sub: 2.0ms (19.1% 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 |
|---|---|---|
| ▶ | 96.7% | (-.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 y y) | |
| accuracy | 0.00390625 | (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) | |
| accuracy | 6.8889787604498816 | (/.f64 x (*.f64 y y)) |
| 72.0ms | 256× | 0 | valid |
Compiled 20 to 8 computations (60% saved)
ival-div: 2.0ms (39.4% of total)ival-mult: 2.0ms (39.4% of total)ival-sub: 1.0ms (19.7% 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 | 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 | @ | 0 | ((- (/ x (* y y)) 3) (/ x (* y y)) (* y y)) |
| 1.0ms | y | @ | inf | ((- (/ 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)
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 103 | 6 | 109 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 103 | 7 | 110 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
| 93.2% | (-.f64 (/.f64 x (*.f64 (sqrt.f64 (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 y))) #s(literal 3 binary64)) | |
| ✓ | 96.7% | (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
| ▶ | 89.5% | (-.f64 (/.f64 x (sqrt.f64 (pow.f64 y #s(literal 4 binary64)))) #s(literal 3 binary64)) |
| ▶ | 59.7% | (-.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 x y) y)) (sqrt.f64 (/.f64 (/.f64 x y) y))) #s(literal 3 binary64)) |
| ▶ | 49.8% | (-.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 (/.f64 x y) (*.f64 y y)))) #s(literal 3 binary64)) |
| ▶ | 50.0% | #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) |
Compiled 137 to 104 computations (24.1% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 y #s(literal 4 binary64)) | |
| cost-diff | 0 | (sqrt.f64 (pow.f64 y #s(literal 4 binary64))) | |
| cost-diff | 0 | (/.f64 x (sqrt.f64 (pow.f64 y #s(literal 4 binary64)))) | |
| cost-diff | 0 | (-.f64 (/.f64 x (sqrt.f64 (pow.f64 y #s(literal 4 binary64)))) #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 | (sqrt.f64 (/.f64 x y)) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 (/.f64 x y) (*.f64 y y)))) | |
| cost-diff | 0 | (-.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 (/.f64 x y) (*.f64 y y)))) #s(literal 3 binary64)) | |
| cost-diff | 2 | (/.f64 (/.f64 x y) (*.f64 y y)) | |
| cost-diff | 0 | #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) | |
| 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)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 154 |
| 0 | 41 | 138 |
| 1 | 53 | 130 |
| 2 | 95 | 130 |
| 3 | 166 | 130 |
| 4 | 241 | 130 |
| 5 | 280 | 130 |
| 6 | 295 | 130 |
| 7 | 297 | 130 |
| 8 | 300 | 130 |
| 9 | 304 | 130 |
| 10 | 308 | 130 |
| 0 | 308 | 130 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x y) |
x |
y |
#s(literal 3 binary64) |
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) |
#s(literal -3 binary64) |
(-.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 (/.f64 x y) (*.f64 y y)))) #s(literal 3 binary64)) |
(*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 (/.f64 x y) (*.f64 y y)))) |
(sqrt.f64 (/.f64 x y)) |
(/.f64 x y) |
x |
y |
(sqrt.f64 (/.f64 (/.f64 x y) (*.f64 y y))) |
(/.f64 (/.f64 x y) (*.f64 y y)) |
(*.f64 y 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 (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 x (sqrt.f64 (pow.f64 y #s(literal 4 binary64)))) #s(literal 3 binary64)) |
(/.f64 x (sqrt.f64 (pow.f64 y #s(literal 4 binary64)))) |
x |
(sqrt.f64 (pow.f64 y #s(literal 4 binary64))) |
(pow.f64 y #s(literal 4 binary64)) |
y |
#s(literal 4 binary64) |
#s(literal 3 binary64) |
| Outputs |
|---|
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x y) |
x |
y |
#s(literal 3 binary64) |
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) |
#s(literal -3 binary64) |
(-.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 (/.f64 x y) (*.f64 y y)))) #s(literal 3 binary64)) |
(-.f64 (*.f64 (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 x y))) #s(literal 3 binary64)) |
(*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 (/.f64 x y) (*.f64 y y)))) |
(*.f64 (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 x y))) |
(sqrt.f64 (/.f64 x y)) |
(/.f64 x y) |
x |
y |
(sqrt.f64 (/.f64 (/.f64 x y) (*.f64 y y))) |
(sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64)))) |
(/.f64 (/.f64 x y) (*.f64 y y)) |
(/.f64 x (pow.f64 y #s(literal 3 binary64))) |
(*.f64 y 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 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 x (sqrt.f64 (pow.f64 y #s(literal 4 binary64)))) #s(literal 3 binary64)) |
(/.f64 x (sqrt.f64 (pow.f64 y #s(literal 4 binary64)))) |
x |
(sqrt.f64 (pow.f64 y #s(literal 4 binary64))) |
(pow.f64 y #s(literal 4 binary64)) |
y |
#s(literal 4 binary64) |
#s(literal 3 binary64) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (pow.f64 y #s(literal 4 binary64)) | |
| accuracy | 0.00390625 | (-.f64 (/.f64 x (sqrt.f64 (pow.f64 y #s(literal 4 binary64)))) #s(literal 3 binary64)) | |
| accuracy | 3.292965143035779 | (/.f64 x (sqrt.f64 (pow.f64 y #s(literal 4 binary64)))) | |
| accuracy | 6.089349309354205 | (sqrt.f64 (pow.f64 y #s(literal 4 binary64))) | |
| accuracy | 0.00390625 | (-.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 x y) y)) (sqrt.f64 (/.f64 (/.f64 x y) y))) #s(literal 3 binary64)) | |
| accuracy | 0.0703125 | (/.f64 (/.f64 x y) y) | |
| accuracy | 0.11166000976844202 | (*.f64 (sqrt.f64 (/.f64 (/.f64 x y) y)) (sqrt.f64 (/.f64 (/.f64 x y) y))) | |
| accuracy | 9.311040962534118 | (sqrt.f64 (/.f64 (/.f64 x y) y)) | |
| accuracy | 0.10384750976844202 | (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 (/.f64 x y) (*.f64 y y)))) | |
| accuracy | 0.7073344979721629 | (/.f64 (/.f64 x y) (*.f64 y y)) | |
| accuracy | 7.639054312108179 | (sqrt.f64 (/.f64 x y)) | |
| accuracy | 9.425874502127327 | (sqrt.f64 (/.f64 (/.f64 x y) (*.f64 y y))) | |
| accuracy | 15.643679905982992 | #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) | |
| accuracy | 0.0 | (/.f64 x y) | |
| accuracy | 0.00390625 | (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) | |
| accuracy | 0.0703125 | (/.f64 (/.f64 x y) y) |
| 64.0ms | 118× | 0 | valid |
| 51.0ms | 138× | 0 | invalid |
Compiled 154 to 25 computations (83.8% saved)
ival-sub: 45.0ms (65.6% of total)ival-div: 9.0ms (13.1% of total)ival-sqrt: 6.0ms (8.7% of total)ival-mult: 4.0ms (5.8% of total)ival-pow: 4.0ms (5.8% 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 (/.f64 x y) y) #s(literal 3 binary64)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x y) |
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) |
(/.f64 (/.f64 x y) (*.f64 y y)) |
(-.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 (/.f64 x y) (*.f64 y y)))) #s(literal 3 binary64)) |
(*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 (/.f64 x y) (*.f64 y y)))) |
(sqrt.f64 (/.f64 x y)) |
(*.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 (sqrt.f64 (pow.f64 y #s(literal 4 binary64)))) #s(literal 3 binary64)) |
(/.f64 x (sqrt.f64 (pow.f64 y #s(literal 4 binary64)))) |
(sqrt.f64 (pow.f64 y #s(literal 4 binary64))) |
(pow.f64 y #s(literal 4 binary64)) |
(sqrt.f64 (/.f64 (/.f64 x y) (*.f64 y y))) |
| Outputs |
|---|
-3 |
(- (/ x (pow y 2)) 3) |
(/ x (pow y 2)) |
(/ x y) |
(/ x (pow y 3)) |
(sqrt (/ x y)) |
(* (sqrt x) (/ 1 y)) |
(sqrt (/ x (pow y 3))) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* -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 y)) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y))) |
(* -1 (* (sqrt (/ x (pow y 3))) (pow (sqrt -1) 2))) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(pow y 2) |
(pow y 4) |
(- (/ (* x (pow (sqrt -1) 2)) (pow y 2)) 3) |
(/ (* x (pow (sqrt -1) 2)) (pow y 2)) |
(* (sqrt (/ x y)) (pow (sqrt -1) 2)) |
(* -1 (* (sqrt x) (/ 1 y))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 13.0ms | x | @ | 0 | ((- (/ (/ x y) y) 3) (/ (/ x y) y) (/ x y) (- (/ x (* y y)) 3) (/ (/ x y) (* y y)) (- (* (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) 3) (* (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) (sqrt (/ x y)) (* (sqrt (/ (/ x y) y)) (sqrt (/ (/ x y) y))) (- (* (sqrt (/ (/ x y) y)) (sqrt (/ (/ x y) y))) 3) (sqrt (/ (/ x y) y)) (- (/ x (sqrt (pow y 4))) 3) (/ x (sqrt (pow y 4))) (sqrt (pow y 4)) (pow y 4) (sqrt (/ (/ x y) (* y y)))) |
| 6.0ms | x | @ | -inf | ((- (/ (/ x y) y) 3) (/ (/ x y) y) (/ x y) (- (/ x (* y y)) 3) (/ (/ x y) (* y y)) (- (* (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) 3) (* (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) (sqrt (/ x y)) (* (sqrt (/ (/ x y) y)) (sqrt (/ (/ x y) y))) (- (* (sqrt (/ (/ x y) y)) (sqrt (/ (/ x y) y))) 3) (sqrt (/ (/ x y) y)) (- (/ x (sqrt (pow y 4))) 3) (/ x (sqrt (pow y 4))) (sqrt (pow y 4)) (pow y 4) (sqrt (/ (/ x y) (* y y)))) |
| 3.0ms | y | @ | -inf | ((- (/ (/ x y) y) 3) (/ (/ x y) y) (/ x y) (- (/ x (* y y)) 3) (/ (/ x y) (* y y)) (- (* (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) 3) (* (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) (sqrt (/ x y)) (* (sqrt (/ (/ x y) y)) (sqrt (/ (/ x y) y))) (- (* (sqrt (/ (/ x y) y)) (sqrt (/ (/ x y) y))) 3) (sqrt (/ (/ x y) y)) (- (/ x (sqrt (pow y 4))) 3) (/ x (sqrt (pow y 4))) (sqrt (pow y 4)) (pow y 4) (sqrt (/ (/ x y) (* y y)))) |
| 3.0ms | x | @ | inf | ((- (/ (/ x y) y) 3) (/ (/ x y) y) (/ x y) (- (/ x (* y y)) 3) (/ (/ x y) (* y y)) (- (* (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) 3) (* (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) (sqrt (/ x y)) (* (sqrt (/ (/ x y) y)) (sqrt (/ (/ x y) y))) (- (* (sqrt (/ (/ x y) y)) (sqrt (/ (/ x y) y))) 3) (sqrt (/ (/ x y) y)) (- (/ x (sqrt (pow y 4))) 3) (/ x (sqrt (pow y 4))) (sqrt (pow y 4)) (pow y 4) (sqrt (/ (/ x y) (* y y)))) |
| 2.0ms | y | @ | inf | ((- (/ (/ x y) y) 3) (/ (/ x y) y) (/ x y) (- (/ x (* y y)) 3) (/ (/ x y) (* y y)) (- (* (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) 3) (* (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) (sqrt (/ x y)) (* (sqrt (/ (/ x y) y)) (sqrt (/ (/ x y) y))) (- (* (sqrt (/ (/ x y) y)) (sqrt (/ (/ x y) y))) 3) (sqrt (/ (/ x y) y)) (- (/ x (sqrt (pow y 4))) 3) (/ x (sqrt (pow y 4))) (sqrt (pow y 4)) (pow y 4) (sqrt (/ (/ x y) (* y y)))) |
| 1× | egg-herbie |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 130 |
| 1 | 115 | 112 |
| 2 | 374 | 112 |
| 3 | 1110 | 112 |
| 4 | 3482 | 112 |
| 0 | 5695 | 112 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-3 |
(- (/ x (pow y 2)) 3) |
(/ x (pow y 2)) |
(/ x y) |
(/ x (pow y 3)) |
(sqrt (/ x y)) |
(* (sqrt x) (/ 1 y)) |
(sqrt (/ x (pow y 3))) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* -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 y)) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y))) |
(* -1 (* (sqrt (/ x (pow y 3))) (pow (sqrt -1) 2))) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(pow y 2) |
(pow y 4) |
(- (/ (* x (pow (sqrt -1) 2)) (pow y 2)) 3) |
(/ (* x (pow (sqrt -1) 2)) (pow y 2)) |
(* (sqrt (/ x y)) (pow (sqrt -1) 2)) |
(* -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) |
(/ x y) |
(/.f64 x y) |
(/ x (pow y 3)) |
(/.f64 x (pow.f64 y #s(literal 3 binary64))) |
(sqrt (/ x y)) |
(sqrt.f64 (/.f64 x y)) |
(* (sqrt x) (/ 1 y)) |
(/.f64 (sqrt.f64 x) y) |
(sqrt (/ x (pow y 3))) |
(sqrt.f64 (/.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)) |
(* -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 y)) (pow (sqrt -1) 2))) |
(sqrt.f64 (/.f64 x y)) |
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y))) |
(/.f64 (sqrt.f64 x) y) |
(* -1 (* (sqrt (/ x (pow y 3))) (pow (sqrt -1) 2))) |
(sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64)))) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(pow y 2) |
(*.f64 y y) |
(pow y 4) |
(pow.f64 y #s(literal 4 binary64)) |
(- (/ (* x (pow (sqrt -1) 2)) (pow y 2)) 3) |
(-.f64 (/.f64 (/.f64 (neg.f64 x) y) y) #s(literal 3 binary64)) |
(/ (* x (pow (sqrt -1) 2)) (pow y 2)) |
(/.f64 (/.f64 (neg.f64 x) y) y) |
(* (sqrt (/ x y)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 x y))) |
(* -1 (* (sqrt x) (/ 1 y))) |
(/.f64 (sqrt.f64 x) (neg.f64 y)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 126 |
| 0 | 41 | 91 |
| 1 | 133 | 86 |
| 2 | 676 | 85 |
| 3 | 6401 | 85 |
| 0 | 8143 | 85 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x y) |
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) |
(/.f64 (/.f64 x y) (*.f64 y y)) |
(-.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 (/.f64 x y) (*.f64 y y)))) #s(literal 3 binary64)) |
(*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 (/.f64 x y) (*.f64 y y)))) |
(sqrt.f64 (/.f64 x y)) |
(*.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 (sqrt.f64 (pow.f64 y #s(literal 4 binary64)))) #s(literal 3 binary64)) |
(/.f64 x (sqrt.f64 (pow.f64 y #s(literal 4 binary64)))) |
(sqrt.f64 (pow.f64 y #s(literal 4 binary64))) |
(pow.f64 y #s(literal 4 binary64)) |
(sqrt.f64 (/.f64 (/.f64 x y) (*.f64 y y))) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) #s(literal 9 binary64)) (+.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64)) #s(literal 27 binary64))) (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64)) #s(literal 27 binary64)) (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 8 binary64)) (pow.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64)) #s(literal 27 binary64)) (+.f64 (pow.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 12 binary64)))) (fma.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)) (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64))) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 8 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) #s(literal 9 binary64)) (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) 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 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) (+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64))) (/.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) (+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64)))) (*.f64 (/.f64 #s(literal -9 binary64) (+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64))) (/.f64 #s(literal -9 binary64) (+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64))))) (+.f64 (/.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) (+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64))) (/.f64 #s(literal -9 binary64) (+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64)) (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))) (/.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64)) (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64))))) (*.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))) (/.f64 #s(literal 27 binary64) (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))))) (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) (+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -9 binary64) (+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) (+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64))) (/.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) (+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64))) (fma.f64 (/.f64 #s(literal -9 binary64) (+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64))) (/.f64 #s(literal -9 binary64) (+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64))) (*.f64 (/.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) (+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64))) (/.f64 #s(literal -9 binary64) (+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64)) (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64)) (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))) (/.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64)) (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))) (fma.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))) (/.f64 #s(literal 27 binary64) (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))) (*.f64 (/.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64)) (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))) (/.f64 #s(literal 27 binary64) (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) #s(literal 9 binary64)))) (neg.f64 (+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64)) #s(literal 27 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 x) 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))) (*.f64 (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y)) (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64)) (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))) (*.f64 (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64))) #s(literal 27 binary64))) (*.f64 (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64))) (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 8 binary64)) #s(literal 81 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 (sqrt.f64 x) y) #s(literal 18 binary64)) #s(literal 19683 binary64)) (*.f64 (+.f64 (fma.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64)) #s(literal 27 binary64) #s(literal 729 binary64)) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 12 binary64))) (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 12 binary64)) #s(literal 729 binary64)) (*.f64 (+.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) #s(literal 81 binary64)) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 8 binary64))) (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 12 binary64)) #s(literal 729 binary64)) (*.f64 (+.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64)) #s(literal 27 binary64)) (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) #s(literal 9 binary64))) (+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64)) #s(literal 27 binary64))) (neg.f64 (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) #s(literal 9 binary64)) (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64)) #s(literal 27 binary64)) (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) #s(literal 9 binary64))) (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y)))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64)) #s(literal 27 binary64))) (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64))))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) #s(literal 9 binary64)) (+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64)))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64)) #s(literal 27 binary64)) (neg.f64 (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) (+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64))) (/.f64 #s(literal -9 binary64) (+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64)) (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))) (/.f64 #s(literal 27 binary64) (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64))))) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 (/.f64 x y) #s(literal 1/4 binary64))) (pow.f64 (/.f64 x y) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (pow.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal 1/4 binary64))) (pow.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 (/.f64 (sqrt.f64 x) y))) (sqrt.f64 (/.f64 (sqrt.f64 x) y))) |
(*.f64 (fabs.f64 (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/2 binary64)))) (sqrt.f64 (/.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 (pow.f64 (/.f64 x y) #s(literal 3/2 binary64)) y)) (sqrt.f64 (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/2 binary64))))) |
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/2 binary64)))) (sqrt.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3/2 binary64)) y))) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3/2 binary64)) y) y)) (sqrt.f64 (sqrt.f64 (/.f64 x y)))) |
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3/2 binary64)) y) y))) |
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 3/2 binary64)) (sqrt.f64 (/.f64 (sqrt.f64 x) y))) |
(*.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3/2 binary64)) y) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3/2 binary64)) y) y) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x y) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 x y)))) |
(*.f64 (pow.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3/2 binary64)) y) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 x y) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 x y) #s(literal 1/4 binary64)) (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/2 binary64))))) |
(*.f64 (pow.f64 (/.f64 x y) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3/2 binary64)) y) y) #s(literal 1/2 binary64))) |
(*.f64 (neg.f64 (sqrt.f64 (/.f64 x y))) (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/2 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 (/.f64 (sqrt.f64 x) y) #s(literal 3/2 binary64))) |
(*.f64 (sqrt.f64 x) (/.f64 (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/2 binary64))) (sqrt.f64 y))) |
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (*.f64 y y))) |
(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) y)) |
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/2 binary64))) (neg.f64 (sqrt.f64 (/.f64 x y)))) |
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/2 binary64))) (sqrt.f64 (/.f64 x y))) |
(*.f64 (sqrt.f64 (/.f64 x y)) (fabs.f64 (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/2 binary64))))) |
(*.f64 (sqrt.f64 (/.f64 x y)) (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/2 binary64)))) |
(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 (sqrt.f64 (/.f64 (sqrt.f64 x) y)) #s(literal 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 x)) (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/2 binary64)))) (neg.f64 (sqrt.f64 y))) |
(/.f64 (*.f64 (sqrt.f64 (neg.f64 x)) (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/2 binary64)))) (sqrt.f64 y)) |
(/.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y))) y) |
(/.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 x y))) (/.f64 (sqrt.f64 x) y)) (sqrt.f64 y)) |
(/.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 x y))) (/.f64 (sqrt.f64 x) y)) (neg.f64 (sqrt.f64 y))) |
(/.f64 (*.f64 (sqrt.f64 (neg.f64 x)) (/.f64 (sqrt.f64 x) y)) y) |
(/.f64 (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) y)) y) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/2 binary64))) (neg.f64 (sqrt.f64 x))) (neg.f64 (sqrt.f64 y))) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/2 binary64))) (sqrt.f64 (neg.f64 x))) (sqrt.f64 y)) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (neg.f64 (sqrt.f64 (/.f64 x y)))) y) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 (neg.f64 x))) y) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) y) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 x) y) (neg.f64 (sqrt.f64 (/.f64 x y)))) (sqrt.f64 y)) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 x) y) (neg.f64 (sqrt.f64 (/.f64 x y)))) (neg.f64 (sqrt.f64 y))) |
(/.f64 (neg.f64 (/.f64 (/.f64 x y) (sqrt.f64 y))) (sqrt.f64 y)) |
(/.f64 (neg.f64 (/.f64 (/.f64 x y) (sqrt.f64 y))) (neg.f64 (sqrt.f64 y))) |
(/.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 x y) x))) (neg.f64 (pow.f64 y #s(literal 3/2 binary64)))) |
(/.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 x y) x))) (pow.f64 y #s(literal 3/2 binary64))) |
(/.f64 (fabs.f64 (/.f64 (/.f64 x y) (sqrt.f64 y))) (sqrt.f64 y)) |
(/.f64 (fabs.f64 (sqrt.f64 (*.f64 (/.f64 x y) x))) (fabs.f64 (pow.f64 y #s(literal 3/2 binary64)))) |
(/.f64 (fabs.f64 (neg.f64 x)) (*.f64 y y)) |
(/.f64 (fabs.f64 (/.f64 x y)) y) |
(/.f64 (fabs.f64 x) (*.f64 y y)) |
(/.f64 (sqrt.f64 (*.f64 (neg.f64 x) x)) (*.f64 y y)) |
(/.f64 (sqrt.f64 (*.f64 x x)) (*.f64 y y)) |
(/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y)) |
(/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (neg.f64 (sqrt.f64 y))) |
(/.f64 (sqrt.f64 (*.f64 (/.f64 x y) x)) (neg.f64 (pow.f64 y #s(literal 3/2 binary64)))) |
(/.f64 (sqrt.f64 (*.f64 (/.f64 x y) x)) (pow.f64 y #s(literal 3/2 binary64))) |
(/.f64 (neg.f64 x) (*.f64 y y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x (*.f64 y y)) |
(neg.f64 (/.f64 (/.f64 x y) y)) |
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64))) |
(fabs.f64 (/.f64 (/.f64 x y) y)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 8 binary64))) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (sqrt.f64 x) y))) #s(literal 4 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 x y) y)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 4 binary64) (log.f64 (/.f64 (sqrt.f64 x) y))) #s(literal 1/2 binary64))) |
(exp.f64 (log.f64 (/.f64 (/.f64 x y) y))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (/.f64 (/.f64 x y) y)) #s(literal 1 binary64))) (sinh.f64 (*.f64 (log.f64 (/.f64 (/.f64 x y) y)) #s(literal 1 binary64)))) |
(+.f64 (cosh.f64 (*.f64 (*.f64 #s(literal 4 binary64) (log.f64 (/.f64 (sqrt.f64 x) y))) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (*.f64 #s(literal 4 binary64) (log.f64 (/.f64 (sqrt.f64 x) y))) #s(literal 1/2 binary64)))) |
(+.f64 (cosh.f64 (log.f64 (/.f64 (/.f64 x y) y))) (sinh.f64 (log.f64 (/.f64 (/.f64 x y) y)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (pow.f64 (/.f64 x y) #s(literal 1/4 binary64))) (pow.f64 (/.f64 x y) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (/.f64 x y) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 x y) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 x y)))) |
(*.f64 (neg.f64 (sqrt.f64 (/.f64 x y))) (neg.f64 (sqrt.f64 (/.f64 x y)))) |
(*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y))) |
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 1/4 binary64)) #s(literal 4 binary64)) |
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 x y)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 x y) #s(literal 1 binary64)) |
(/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y)) |
(/.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (/.f64 x y))) (neg.f64 (sqrt.f64 y))) |
(/.f64 (*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (/.f64 x y))) (sqrt.f64 y)) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (neg.f64 (sqrt.f64 x))) (neg.f64 (sqrt.f64 y))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (neg.f64 x))) (sqrt.f64 y)) |
(/.f64 (sqrt.f64 (*.f64 (/.f64 x y) x)) (sqrt.f64 y)) |
(/.f64 (neg.f64 x) y) |
(/.f64 x y) |
(neg.f64 (/.f64 x y)) |
(sqrt.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x y))) #s(literal 2 binary64))) |
(exp.f64 (log.f64 (/.f64 x y))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x y))) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x y))) #s(literal 2 binary64)))) |
(+.f64 (cosh.f64 (log.f64 (/.f64 x y))) (sinh.f64 (log.f64 (/.f64 x y)))) |
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) |
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(*.f64 (fabs.f64 (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/2 binary64)))) (fabs.f64 (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/2 binary64))))) |
(*.f64 (/.f64 (sqrt.f64 x) (*.f64 y y)) (/.f64 (sqrt.f64 x) y)) |
(*.f64 (pow.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal 1/4 binary64)) (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/2 binary64))))) |
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 x) y)) (*.f64 (sqrt.f64 (/.f64 (sqrt.f64 x) y)) (/.f64 (sqrt.f64 x) (*.f64 y y)))) |
(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) (*.f64 y y))) |
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/2 binary64))) (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/2 binary64)))) |
(*.f64 (sqrt.f64 (/.f64 x y)) (/.f64 (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/2 binary64))) y)) |
(pow.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal 1/4 binary64)) #s(literal 4 binary64)) |
(pow.f64 (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) |
(/.f64 (/.f64 (/.f64 (/.f64 x y) y) (sqrt.f64 y)) (sqrt.f64 y)) |
(/.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 x y))) (/.f64 (sqrt.f64 x) (*.f64 y y))) (sqrt.f64 y)) |
(/.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 x y))) (/.f64 (sqrt.f64 x) (*.f64 y y))) (neg.f64 (sqrt.f64 y))) |
(/.f64 (*.f64 (sqrt.f64 (neg.f64 x)) (/.f64 (sqrt.f64 x) (*.f64 y y))) y) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (/.f64 (sqrt.f64 x) (*.f64 y y))) (sqrt.f64 y)) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (/.f64 (sqrt.f64 x) (*.f64 y y))) (neg.f64 (sqrt.f64 y))) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/2 binary64))) (/.f64 (sqrt.f64 x) y)) (sqrt.f64 y)) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/2 binary64)))) (sqrt.f64 y)) |
(/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (pow.f64 y #s(literal 3/2 binary64))) |
(/.f64 (sqrt.f64 (*.f64 (/.f64 x y) x)) (*.f64 (pow.f64 y #s(literal 3/2 binary64)) y)) |
(/.f64 (/.f64 (/.f64 x y) y) y) |
(/.f64 (neg.f64 x) (pow.f64 y #s(literal 3 binary64))) |
(/.f64 (/.f64 x y) (*.f64 y y)) |
(/.f64 x (pow.f64 y #s(literal 3 binary64))) |
(neg.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64)))) |
(sqrt.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 3 binary64))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 3 binary64))))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64)))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/2 binary64)))) #s(literal 2 binary64))) |
(exp.f64 (log.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/2 binary64)))) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/2 binary64)))) #s(literal 2 binary64)))) |
(+.f64 (cosh.f64 (log.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))))) (sinh.f64 (log.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64)))))) |
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(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64)) #s(literal 27 binary64)) (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 8 binary64)) (pow.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))) |
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(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64)) (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))) (/.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64)) (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64))))) (*.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))) (/.f64 #s(literal 27 binary64) (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))))) (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y))) |
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(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) #s(literal 9 binary64)))) (neg.f64 (+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64)) #s(literal 27 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 x) 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))) (*.f64 (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y)) (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64)) (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))) (*.f64 (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64))) #s(literal 27 binary64))) (*.f64 (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64))) (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 8 binary64)) #s(literal 81 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)))) |
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(/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 12 binary64)) #s(literal 729 binary64)) (*.f64 (+.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) #s(literal 81 binary64)) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 8 binary64))) (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 12 binary64)) #s(literal 729 binary64)) (*.f64 (+.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64)) #s(literal 27 binary64)) (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64))))) |
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(/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) #s(literal 9 binary64)) (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64)) #s(literal 27 binary64)) (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) #s(literal 9 binary64))) (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y)))) |
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(neg.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) #s(literal 9 binary64)) (+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64)))) |
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(-.f64 (/.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) (+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64))) (/.f64 #s(literal -9 binary64) (+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64)) (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))) (/.f64 #s(literal 27 binary64) (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64))))) |
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(/.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 x y))) (/.f64 (sqrt.f64 x) y)) (neg.f64 (sqrt.f64 y))) |
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(neg.f64 (/.f64 (/.f64 x y) y)) |
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(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (sqrt.f64 x) y))) #s(literal 4 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 x y) y)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 4 binary64) (log.f64 (/.f64 (sqrt.f64 x) y))) #s(literal 1/2 binary64))) |
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(pow.f64 (pow.f64 (/.f64 x y) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 x y)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) |
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 x))) (neg.f64 (neg.f64 (sqrt.f64 y)))) |
(/.f64 (neg.f64 (sqrt.f64 (neg.f64 x))) (neg.f64 (sqrt.f64 y))) |
(/.f64 (fabs.f64 (neg.f64 (sqrt.f64 x))) (sqrt.f64 y)) |
(/.f64 (fabs.f64 (sqrt.f64 (neg.f64 x))) (sqrt.f64 y)) |
(/.f64 (fabs.f64 (sqrt.f64 x)) (sqrt.f64 y)) |
(/.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 y))) |
(/.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 y)) |
(/.f64 (sqrt.f64 x) (sqrt.f64 y)) |
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(fabs.f64 (neg.f64 (sqrt.f64 (/.f64 x y)))) |
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(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 1/4 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1/4 binary64))) |
(exp.f64 (log.f64 (sqrt.f64 (/.f64 x y)))) |
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(*.f64 (pow.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 x y)))) |
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(*.f64 (pow.f64 (/.f64 x y) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 x y) #s(literal 1/4 binary64)) (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/2 binary64))))) |
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(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 x) y)) #s(literal 4 binary64)) |
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) #s(literal 1/2 binary64)) |
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(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (sqrt.f64 x) y))) #s(literal 4 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 x y) y)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 4 binary64) (log.f64 (/.f64 (sqrt.f64 x) y))) #s(literal 1/2 binary64))) |
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(+.f64 (cosh.f64 (*.f64 (log.f64 (/.f64 (/.f64 x y) y)) #s(literal 1 binary64))) (sinh.f64 (*.f64 (log.f64 (/.f64 (/.f64 x y) y)) #s(literal 1 binary64)))) |
(+.f64 (cosh.f64 (*.f64 (*.f64 #s(literal 4 binary64) (log.f64 (/.f64 (sqrt.f64 x) y))) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (*.f64 #s(literal 4 binary64) (log.f64 (/.f64 (sqrt.f64 x) y))) #s(literal 1/2 binary64)))) |
(+.f64 (cosh.f64 (log.f64 (/.f64 (/.f64 x y) y))) (sinh.f64 (log.f64 (/.f64 (/.f64 x y) y)))) |
(*.f64 (sqrt.f64 y) (pow.f64 y #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (sqrt.f64 y)) |
(*.f64 y y) |
(pow.f64 (exp.f64 #s(literal 4 binary64)) (*.f64 (log.f64 y) #s(literal 1/2 binary64))) |
(pow.f64 (*.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) #s(literal 1/8 binary64)) |
(pow.f64 (sqrt.f64 y) #s(literal 4 binary64)) |
(pow.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 y #s(literal 2 binary64)) |
(pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 y y) #s(literal 1 binary64)) |
(neg.f64 (*.f64 y y)) |
(sqrt.f64 (pow.f64 y #s(literal 4 binary64))) |
(fabs.f64 (*.f64 y y)) |
(exp.f64 (*.f64 (*.f64 #s(literal 8 binary64) (log.f64 y)) #s(literal 1/4 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)))) |
(*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 y)) (sqrt.f64 y)) |
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (pow.f64 y #s(literal 3 binary64)))) |
(*.f64 (pow.f64 y #s(literal 3 binary64)) y) |
(*.f64 y (pow.f64 y #s(literal 3 binary64))) |
(*.f64 (*.f64 y y) (*.f64 y y)) |
(pow.f64 (exp.f64 #s(literal 4 binary64)) (*.f64 (log.f64 y) #s(literal 1 binary64))) |
(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 y)) |
(pow.f64 (*.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 (sqrt.f64 y) #s(literal 8 binary64)) |
(pow.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 y #s(literal 4 binary64)) |
(pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 y y) #s(literal 2 binary64)) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 4 binary64))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 4 binary64))) (cosh.f64 (*.f64 (log.f64 y) #s(literal 4 binary64))) (-.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 4 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 4 binary64)))) (*.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 4 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 4 binary64))))))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 (log.f64 y) #s(literal 4 binary64))))) |
(neg.f64 (pow.f64 y #s(literal 4 binary64))) |
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (cosh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))) (cosh.f64 (*.f64 (log.f64 y) #s(literal 4 binary64)))) |
(sqrt.f64 (pow.f64 y #s(literal 8 binary64))) |
(fabs.f64 (pow.f64 y #s(literal 4 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 4 binary64))) (log.f64 y))) |
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 8 binary64) (log.f64 y)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 4 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 4 binary64))) |
(+.f64 (cosh.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64))) (sinh.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(+.f64 (cosh.f64 (*.f64 (*.f64 #s(literal 8 binary64) (log.f64 y)) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (*.f64 #s(literal 8 binary64) (log.f64 y)) #s(literal 1/2 binary64)))) |
(+.f64 (cosh.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 4 binary64)) #s(literal 1 binary64))) (sinh.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 4 binary64)) #s(literal 1 binary64)))) |
(+.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 4 binary64))) (cosh.f64 (*.f64 (log.f64 y) #s(literal 4 binary64)))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 4 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 1/4 binary64)) (sqrt.f64 y)) (/.f64 (pow.f64 (/.f64 x y) #s(literal 1/4 binary64)) (sqrt.f64 y))) |
(*.f64 (neg.f64 (pow.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal 1/4 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal 1/4 binary64)) (pow.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (/.f64 x y) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (/.f64 x y) #s(literal 1/4 binary64)) y)) |
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 x) y)) (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 x) y)) (sqrt.f64 y))) |
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 x) y)) (sqrt.f64 (/.f64 (sqrt.f64 x) (*.f64 y y)))) |
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 x) y)) (pow.f64 (/.f64 (sqrt.f64 x) (*.f64 y y)) #s(literal 1/2 binary64))) |
(pow.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/2 binary64))) #s(literal 1 binary64)) |
(pow.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64)) |
(/.f64 (neg.f64 (sqrt.f64 (/.f64 x y))) y) |
(/.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (neg.f64 (sqrt.f64 y)) y)) |
(/.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (pow.f64 y #s(literal 3/2 binary64)))) |
(/.f64 (sqrt.f64 (neg.f64 x)) (pow.f64 y #s(literal 3/2 binary64))) |
(/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/2 binary64))) |
(/.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 y)) |
(/.f64 (/.f64 (sqrt.f64 x) y) (neg.f64 (sqrt.f64 y))) |
(/.f64 (sqrt.f64 (/.f64 x y)) y) |
(neg.f64 (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/2 binary64)))) |
(sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/2 binary64)))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 3 binary64))))) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal 1/4 binary64))) #s(literal 2 binary64))) |
(exp.f64 (log.f64 (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/2 binary64))))) |
(+.f64 (cosh.f64 (log.f64 (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/2 binary64))))) (sinh.f64 (log.f64 (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/2 binary64)))))) |
Compiled 12 209 to 1 958 computations (84% saved)
10 alts after pruning (6 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 618 | 6 | 624 |
| Fresh | 1 | 0 | 1 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 621 | 10 | 631 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (-.f64 (/.f64 (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y)) y) #s(literal 3 binary64)) |
| ✓ | 99.9% | (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
| ▶ | 53.4% | (-.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y))) y) #s(literal 3 binary64)) |
| ▶ | 96.7% | (-.f64 (/.f64 x (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (sqrt.f64 y))) #s(literal 3 binary64)) |
| ✓ | 96.7% | (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
| ✓ | 89.5% | (-.f64 (/.f64 x (sqrt.f64 (pow.f64 y #s(literal 4 binary64)))) #s(literal 3 binary64)) |
| ▶ | 44.5% | (-.f64 (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (*.f64 y y))) #s(literal 3 binary64)) |
| 23.1% | (*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64)) #s(literal 27 binary64)) (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 8 binary64)) (pow.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))) | |
| ✓ | 50.0% | #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) |
| ▶ | 52.2% | #s(approx (- (* (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) 3) (/.f64 (/.f64 x y) y)) |
Compiled 247 to 166 computations (32.8% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 y #s(literal 3/2 binary64)) | |
| cost-diff | 0 | (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (sqrt.f64 y)) | |
| cost-diff | 0 | (/.f64 x (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (sqrt.f64 y))) | |
| cost-diff | 0 | (-.f64 (/.f64 x (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (sqrt.f64 y))) #s(literal 3 binary64)) | |
| cost-diff | 0 | (sqrt.f64 (/.f64 x y)) | |
| cost-diff | 0 | (/.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y))) y) | |
| cost-diff | 0 | (-.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y))) y) #s(literal 3 binary64)) | |
| cost-diff | 6 | (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y))) | |
| cost-diff | 0 | (/.f64 (sqrt.f64 x) (*.f64 y y)) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (-.f64 (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (*.f64 y y))) #s(literal 3 binary64)) | |
| cost-diff | 4 | (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (*.f64 y y))) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (/.f64 (/.f64 x y) y) | |
| cost-diff | 0 | #s(approx (- (* (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) 3) (/.f64 (/.f64 x y) y)) | |
| cost-diff | 0 | (/.f64 x (sqrt.f64 y)) | |
| cost-diff | 0 | (/.f64 (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y)) y) | |
| cost-diff | 0 | (-.f64 (/.f64 (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y)) y) #s(literal 3 binary64)) | |
| cost-diff | 4 | (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y)) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 177 |
| 0 | 52 | 183 |
| 1 | 81 | 137 |
| 2 | 161 | 137 |
| 3 | 556 | 131 |
| 4 | 1911 | 131 |
| 5 | 2342 | 131 |
| 6 | 2373 | 131 |
| 7 | 2389 | 131 |
| 8 | 2389 | 131 |
| 0 | 2389 | 131 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y)) y) #s(literal 3 binary64)) |
(/.f64 (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y)) y) |
(/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y)) |
(/.f64 x (sqrt.f64 y)) |
x |
(sqrt.f64 y) |
y |
#s(literal 3 binary64) |
#s(approx (- (* (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) 3) (/.f64 (/.f64 x y) y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x y) |
x |
y |
(-.f64 (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (*.f64 y y))) #s(literal 3 binary64)) |
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (*.f64 y y))) |
(sqrt.f64 x) |
x |
(/.f64 (sqrt.f64 x) (*.f64 y y)) |
(*.f64 y y) |
y |
#s(literal 3 binary64) |
(-.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y))) y) #s(literal 3 binary64)) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y))) y) |
(*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y))) |
(sqrt.f64 (/.f64 x y)) |
(/.f64 x y) |
x |
y |
#s(literal 3 binary64) |
(-.f64 (/.f64 x (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (sqrt.f64 y))) #s(literal 3 binary64)) |
(/.f64 x (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (sqrt.f64 y))) |
x |
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (sqrt.f64 y)) |
(pow.f64 y #s(literal 3/2 binary64)) |
y |
#s(literal 3/2 binary64) |
(sqrt.f64 y) |
#s(literal 3 binary64) |
| Outputs |
|---|
(-.f64 (/.f64 (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y)) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(/.f64 (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y)) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y)) |
(/.f64 x y) |
(/.f64 x (sqrt.f64 y)) |
x |
(sqrt.f64 y) |
y |
#s(literal 3 binary64) |
#s(approx (- (* (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) 3) (/.f64 (/.f64 x y) y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x y) |
x |
y |
(-.f64 (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (*.f64 y y))) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (*.f64 y y))) |
(/.f64 (/.f64 x y) y) |
(sqrt.f64 x) |
x |
(/.f64 (sqrt.f64 x) (*.f64 y y)) |
(/.f64 (/.f64 (sqrt.f64 x) y) y) |
(*.f64 y y) |
y |
#s(literal 3 binary64) |
(-.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y))) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y))) y) |
(/.f64 (/.f64 x y) y) |
(*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y))) |
(/.f64 x y) |
(sqrt.f64 (/.f64 x y)) |
(/.f64 x y) |
x |
y |
#s(literal 3 binary64) |
(-.f64 (/.f64 x (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (sqrt.f64 y))) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) (sqrt.f64 y)) #s(literal 3 binary64)) |
(/.f64 x (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (sqrt.f64 y))) |
(/.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) (sqrt.f64 y)) |
x |
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (sqrt.f64 y)) |
(pow.f64 y #s(literal 3/2 binary64)) |
y |
#s(literal 3/2 binary64) |
(sqrt.f64 y) |
#s(literal 3 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (sqrt.f64 y) | |
| accuracy | 0.00390625 | (-.f64 (/.f64 x (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (sqrt.f64 y))) #s(literal 3 binary64)) | |
| accuracy | 0.0859375 | (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (sqrt.f64 y)) | |
| accuracy | 3.292965143035779 | (/.f64 x (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (sqrt.f64 y))) | |
| accuracy | 0.00390625 | (-.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y))) y) #s(literal 3 binary64)) | |
| accuracy | 0.0703125 | (/.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y))) y) | |
| accuracy | 0.1796875 | (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y))) | |
| accuracy | 7.639054312108179 | (sqrt.f64 (/.f64 x y)) | |
| accuracy | 0.0 | (sqrt.f64 x) | |
| accuracy | 0.00390625 | (-.f64 (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (*.f64 y y))) #s(literal 3 binary64)) | |
| accuracy | 1.3987743151149 | (/.f64 (sqrt.f64 x) (*.f64 y y)) | |
| accuracy | 1.9094208849439995 | (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (*.f64 y y))) | |
| accuracy | 0.0 | (/.f64 x y) | |
| accuracy | 0.0703125 | (/.f64 (/.f64 x y) y) | |
| accuracy | 13.74405088816898 | #s(approx (- (* (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) 3) (/.f64 (/.f64 x y) y)) | |
| accuracy | 0.00390625 | (-.f64 (/.f64 (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y)) y) #s(literal 3 binary64)) | |
| accuracy | 0.0703125 | (/.f64 (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y)) y) | |
| accuracy | 0.09765625 | (/.f64 x (sqrt.f64 y)) | |
| accuracy | 0.125 | (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y)) |
| 60.0ms | 138× | 0 | invalid |
| 32.0ms | 118× | 0 | valid |
Compiled 173 to 30 computations (82.7% saved)
ival-div: 44.0ms (58.4% of total)ival-sqrt: 10.0ms (13.3% of total)ival-sub: 7.0ms (9.3% of total)ival-mult: 7.0ms (9.3% of total)ival-pow: 6.0ms (8% 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 (sqrt.f64 y)) (sqrt.f64 y)) |
(-.f64 (/.f64 (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y)) y) #s(literal 3 binary64)) |
(/.f64 (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y)) y) |
(/.f64 x (sqrt.f64 y)) |
#s(approx (- (* (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) 3) (/.f64 (/.f64 x y) y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x y) |
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (*.f64 y y))) |
(-.f64 (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (*.f64 y y))) #s(literal 3 binary64)) |
(sqrt.f64 x) |
(/.f64 (sqrt.f64 x) (*.f64 y y)) |
(*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y))) |
(-.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y))) y) #s(literal 3 binary64)) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y))) y) |
(sqrt.f64 (/.f64 x y)) |
(-.f64 (/.f64 x (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (sqrt.f64 y))) #s(literal 3 binary64)) |
(/.f64 x (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (sqrt.f64 y))) |
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (sqrt.f64 y)) |
(pow.f64 y #s(literal 3/2 binary64)) |
(sqrt.f64 y) |
| Outputs |
|---|
(/ x y) |
-3 |
(- (/ x (pow y 2)) 3) |
(/ x (pow y 2)) |
(* x (sqrt (/ 1 y))) |
(sqrt x) |
(* (sqrt x) (/ 1 (pow y 2))) |
(sqrt (/ x y)) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* -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))) |
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) (pow y 2)))) |
(* -1 (/ (* x (pow (sqrt -1) 2)) y)) |
(* -1 (* (sqrt (/ x y)) (pow (sqrt -1) 2))) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(pow y 2) |
(sqrt (pow y 3)) |
(sqrt y) |
(* -1 (/ x (* y (pow (sqrt -1) 2)))) |
(- (* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) 3) |
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) |
(- (/ (* x (pow (sqrt -1) 2)) (pow y 2)) 3) |
(- (* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2))) 3) |
(* (sqrt (/ x y)) (pow (sqrt -1) 2)) |
(- (/ x (* (pow y 2) (pow (sqrt -1) 2))) 3) |
(/ x (* (pow y 2) (pow (sqrt -1) 2))) |
(* (pow y 2) (pow (sqrt -1) 2)) |
(* (sqrt (pow y 3)) (pow (sqrt -1) 2)) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | y | @ | -inf | ((/ (/ x (sqrt y)) (sqrt y)) (- (/ (/ (/ x (sqrt y)) (sqrt y)) y) 3) (/ (/ (/ x (sqrt y)) (sqrt y)) y) (/ x (sqrt y)) (- (* (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) 3) (/ (/ x y) y) (/ x y) (* (sqrt x) (/ (sqrt x) (* y y))) (- (* (sqrt x) (/ (sqrt x) (* y y))) 3) (sqrt x) (/ (sqrt x) (* y y)) (* (sqrt (/ x y)) (sqrt (/ x y))) (- (/ (* (sqrt (/ x y)) (sqrt (/ x y))) y) 3) (/ (* (sqrt (/ x y)) (sqrt (/ x y))) y) (sqrt (/ x y)) (- (/ x (* (pow y 3/2) (sqrt y))) 3) (/ x (* (pow y 3/2) (sqrt y))) (* (pow y 3/2) (sqrt y)) (pow y 3/2) (sqrt y)) |
| 8.0ms | x | @ | -inf | ((/ (/ x (sqrt y)) (sqrt y)) (- (/ (/ (/ x (sqrt y)) (sqrt y)) y) 3) (/ (/ (/ x (sqrt y)) (sqrt y)) y) (/ x (sqrt y)) (- (* (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) 3) (/ (/ x y) y) (/ x y) (* (sqrt x) (/ (sqrt x) (* y y))) (- (* (sqrt x) (/ (sqrt x) (* y y))) 3) (sqrt x) (/ (sqrt x) (* y y)) (* (sqrt (/ x y)) (sqrt (/ x y))) (- (/ (* (sqrt (/ x y)) (sqrt (/ x y))) y) 3) (/ (* (sqrt (/ x y)) (sqrt (/ x y))) y) (sqrt (/ x y)) (- (/ x (* (pow y 3/2) (sqrt y))) 3) (/ x (* (pow y 3/2) (sqrt y))) (* (pow y 3/2) (sqrt y)) (pow y 3/2) (sqrt y)) |
| 2.0ms | y | @ | 0 | ((/ (/ x (sqrt y)) (sqrt y)) (- (/ (/ (/ x (sqrt y)) (sqrt y)) y) 3) (/ (/ (/ x (sqrt y)) (sqrt y)) y) (/ x (sqrt y)) (- (* (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) 3) (/ (/ x y) y) (/ x y) (* (sqrt x) (/ (sqrt x) (* y y))) (- (* (sqrt x) (/ (sqrt x) (* y y))) 3) (sqrt x) (/ (sqrt x) (* y y)) (* (sqrt (/ x y)) (sqrt (/ x y))) (- (/ (* (sqrt (/ x y)) (sqrt (/ x y))) y) 3) (/ (* (sqrt (/ x y)) (sqrt (/ x y))) y) (sqrt (/ x y)) (- (/ x (* (pow y 3/2) (sqrt y))) 3) (/ x (* (pow y 3/2) (sqrt y))) (* (pow y 3/2) (sqrt y)) (pow y 3/2) (sqrt y)) |
| 2.0ms | y | @ | inf | ((/ (/ x (sqrt y)) (sqrt y)) (- (/ (/ (/ x (sqrt y)) (sqrt y)) y) 3) (/ (/ (/ x (sqrt y)) (sqrt y)) y) (/ x (sqrt y)) (- (* (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) 3) (/ (/ x y) y) (/ x y) (* (sqrt x) (/ (sqrt x) (* y y))) (- (* (sqrt x) (/ (sqrt x) (* y y))) 3) (sqrt x) (/ (sqrt x) (* y y)) (* (sqrt (/ x y)) (sqrt (/ x y))) (- (/ (* (sqrt (/ x y)) (sqrt (/ x y))) y) 3) (/ (* (sqrt (/ x y)) (sqrt (/ x y))) y) (sqrt (/ x y)) (- (/ x (* (pow y 3/2) (sqrt y))) 3) (/ x (* (pow y 3/2) (sqrt y))) (* (pow y 3/2) (sqrt y)) (pow y 3/2) (sqrt y)) |
| 2.0ms | x | @ | 0 | ((/ (/ x (sqrt y)) (sqrt y)) (- (/ (/ (/ x (sqrt y)) (sqrt y)) y) 3) (/ (/ (/ x (sqrt y)) (sqrt y)) y) (/ x (sqrt y)) (- (* (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) 3) (/ (/ x y) y) (/ x y) (* (sqrt x) (/ (sqrt x) (* y y))) (- (* (sqrt x) (/ (sqrt x) (* y y))) 3) (sqrt x) (/ (sqrt x) (* y y)) (* (sqrt (/ x y)) (sqrt (/ x y))) (- (/ (* (sqrt (/ x y)) (sqrt (/ x y))) y) 3) (/ (* (sqrt (/ x y)) (sqrt (/ x y))) y) (sqrt (/ x y)) (- (/ x (* (pow y 3/2) (sqrt y))) 3) (/ x (* (pow y 3/2) (sqrt y))) (* (pow y 3/2) (sqrt y)) (pow y 3/2) (sqrt y)) |
| 1× | egg-herbie |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 179 |
| 1 | 144 | 154 |
| 2 | 486 | 151 |
| 3 | 1605 | 151 |
| 0 | 4830 | 151 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ x y) |
-3 |
(- (/ x (pow y 2)) 3) |
(/ x (pow y 2)) |
(* x (sqrt (/ 1 y))) |
(sqrt x) |
(* (sqrt x) (/ 1 (pow y 2))) |
(sqrt (/ x y)) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* -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))) |
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) (pow y 2)))) |
(* -1 (/ (* x (pow (sqrt -1) 2)) y)) |
(* -1 (* (sqrt (/ x y)) (pow (sqrt -1) 2))) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(pow y 2) |
(sqrt (pow y 3)) |
(sqrt y) |
(* -1 (/ x (* y (pow (sqrt -1) 2)))) |
(- (* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) 3) |
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) |
(- (/ (* x (pow (sqrt -1) 2)) (pow y 2)) 3) |
(- (* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2))) 3) |
(* (sqrt (/ x y)) (pow (sqrt -1) 2)) |
(- (/ x (* (pow y 2) (pow (sqrt -1) 2))) 3) |
(/ x (* (pow y 2) (pow (sqrt -1) 2))) |
(* (pow y 2) (pow (sqrt -1) 2)) |
(* (sqrt (pow y 3)) (pow (sqrt -1) 2)) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
| Outputs |
|---|
(/ x y) |
(/.f64 x y) |
-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) |
(* x (sqrt (/ 1 y))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) x) |
(sqrt x) |
(sqrt.f64 x) |
(* (sqrt x) (/ 1 (pow y 2))) |
(/.f64 (/.f64 (sqrt.f64 x) y) y) |
(sqrt (/ x y)) |
(sqrt.f64 (/.f64 x y)) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 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))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) (pow y 2)))) |
(/.f64 (/.f64 (sqrt.f64 x) y) y) |
(* -1 (/ (* x (pow (sqrt -1) 2)) y)) |
(/.f64 x y) |
(* -1 (* (sqrt (/ x y)) (pow (sqrt -1) 2))) |
(sqrt.f64 (/.f64 x y)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(pow y 2) |
(*.f64 y y) |
(sqrt (pow y 3)) |
(sqrt.f64 (pow.f64 y #s(literal 3 binary64))) |
(sqrt y) |
(sqrt.f64 y) |
(* -1 (/ x (* y (pow (sqrt -1) 2)))) |
(/.f64 x y) |
(- (* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) 3) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) |
(/.f64 (/.f64 x y) y) |
(- (/ (* x (pow (sqrt -1) 2)) (pow y 2)) 3) |
(-.f64 (/.f64 (neg.f64 x) (*.f64 y y)) #s(literal 3 binary64)) |
(- (* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2))) 3) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(* (sqrt (/ x y)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 x y))) |
(- (/ x (* (pow y 2) (pow (sqrt -1) 2))) 3) |
(-.f64 (/.f64 (neg.f64 x) (*.f64 y y)) #s(literal 3 binary64)) |
(/ x (* (pow y 2) (pow (sqrt -1) 2))) |
(/.f64 (neg.f64 x) (*.f64 y y)) |
(* (pow y 2) (pow (sqrt -1) 2)) |
(*.f64 (neg.f64 y) y) |
(* (sqrt (pow y 3)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (pow.f64 y #s(literal 3 binary64)))) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(sqrt.f64 y) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 154 |
| 0 | 52 | 157 |
| 1 | 173 | 99 |
| 2 | 1238 | 99 |
| 0 | 8031 | 99 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y)) |
(-.f64 (/.f64 (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y)) y) #s(literal 3 binary64)) |
(/.f64 (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y)) y) |
(/.f64 x (sqrt.f64 y)) |
#s(approx (- (* (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) 3) (/.f64 (/.f64 x y) y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x y) |
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (*.f64 y y))) |
(-.f64 (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (*.f64 y y))) #s(literal 3 binary64)) |
(sqrt.f64 x) |
(/.f64 (sqrt.f64 x) (*.f64 y y)) |
(*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y))) |
(-.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y))) y) #s(literal 3 binary64)) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y))) y) |
(sqrt.f64 (/.f64 x y)) |
(-.f64 (/.f64 x (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (sqrt.f64 y))) #s(literal 3 binary64)) |
(/.f64 x (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (sqrt.f64 y))) |
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (sqrt.f64 y)) |
(pow.f64 y #s(literal 3/2 binary64)) |
(sqrt.f64 y) |
| Outputs |
|---|
(*.f64 (*.f64 (/.f64 (sqrt.f64 x) y) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (pow.f64 (/.f64 x y) #s(literal 1/4 binary64))) (pow.f64 (/.f64 x y) #s(literal 1/4 binary64))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 x y)) (pow.f64 y #s(literal 1/4 binary64))) (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 1/4 binary64))) (/.f64 (sqrt.f64 (/.f64 x y)) (pow.f64 y #s(literal 1/4 binary64)))) |
(*.f64 (sqrt.f64 (pow.f64 (/.f64 x y) #s(literal 3/2 binary64))) (pow.f64 (/.f64 x y) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 x y) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x y) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (/.f64 (sqrt.f64 x) y))) |
(*.f64 (pow.f64 (/.f64 x y) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 x y) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 x y)))) |
(*.f64 (pow.f64 (/.f64 x y) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (/.f64 x y) #s(literal 3/2 binary64)))) |
(*.f64 (pow.f64 (/.f64 x y) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (/.f64 x y) #s(literal 3/2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) |
(*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (sqrt.f64 x) y)) |
(*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y))) |
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) y)) |
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 x y)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 x y) #s(literal 1 binary64)) |
(/.f64 (/.f64 (/.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64))) |
(/.f64 (*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (/.f64 x y))) (sqrt.f64 y)) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (neg.f64 x))) (sqrt.f64 y)) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (neg.f64 (sqrt.f64 x))) (neg.f64 (sqrt.f64 y))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (neg.f64 (sqrt.f64 x))) (sqrt.f64 y)) |
(/.f64 (fabs.f64 (neg.f64 x)) y) |
(/.f64 (fabs.f64 (/.f64 x (sqrt.f64 y))) (sqrt.f64 y)) |
(/.f64 (sqrt.f64 (*.f64 (neg.f64 x) x)) y) |
(/.f64 (neg.f64 x) y) |
(/.f64 (/.f64 x (sqrt.f64 y)) (neg.f64 (sqrt.f64 y))) |
(/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y)) |
(/.f64 x y) |
(neg.f64 (/.f64 x y)) |
(sqrt.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) |
(fabs.f64 (/.f64 x y)) |
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(exp.f64 (log.f64 (/.f64 x y))) |
(+.f64 (cosh.f64 (log.f64 (/.f64 x y))) (sinh.f64 (log.f64 (/.f64 x y)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64)) #s(literal 9 binary64)) (+.f64 #s(literal 27 binary64) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)))) (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64)) #s(literal 9 binary64)) (-.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64)) #s(literal 9 binary64))) (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) #s(literal 27 binary64)) (-.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 4 binary64)) (pow.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64)) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) #s(literal 27 binary64)) (+.f64 (pow.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 6 binary64)))) (fma.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)) (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64))) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 4 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64)) (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y))) (/.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64)) (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y)))) (*.f64 (/.f64 #s(literal -9 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 x y) y) #s(literal 2 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 (*.f64 (/.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))) (/.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64))))) (*.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))) (/.f64 #s(literal 27 binary64) (fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))))) (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 2 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))) (fma.f64 (/.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64)) (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y))) (/.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64)) (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y))) (fma.f64 (/.f64 #s(literal -9 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 x y) y) #s(literal 2 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))))))) |
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(*.f64 (sqrt.f64 x) (pow.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) y) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 x) (/.f64 (/.f64 (sqrt.f64 x) y) y)) |
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/2 binary64))) (sqrt.f64 (/.f64 x y))) |
(pow.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1 binary64)) |
(/.f64 (*.f64 (sqrt.f64 (neg.f64 x)) (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/2 binary64)))) (sqrt.f64 y)) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/2 binary64))) (sqrt.f64 (neg.f64 x))) (sqrt.f64 y)) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/2 binary64))) (neg.f64 (sqrt.f64 x))) (neg.f64 (sqrt.f64 y))) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 x) y) (neg.f64 (sqrt.f64 x))) y) |
(/.f64 (/.f64 (neg.f64 x) (pow.f64 y #s(literal 5/4 binary64))) (pow.f64 y #s(literal 3/4 binary64))) |
(/.f64 (/.f64 (neg.f64 x) (pow.f64 y #s(literal 3/4 binary64))) (pow.f64 y #s(literal 5/4 binary64))) |
(/.f64 (/.f64 (/.f64 x (sqrt.f64 y)) (neg.f64 (pow.f64 y #s(literal 3/4 binary64)))) (neg.f64 (pow.f64 y #s(literal 3/4 binary64)))) |
(/.f64 (/.f64 (/.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal 3/4 binary64))) (pow.f64 y #s(literal 3/4 binary64))) |
(/.f64 (/.f64 (/.f64 x y) (neg.f64 (sqrt.f64 y))) (neg.f64 (sqrt.f64 y))) |
(/.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64))) |
(/.f64 (/.f64 x (pow.f64 y #s(literal 5/4 binary64))) (pow.f64 y #s(literal 3/4 binary64))) |
(/.f64 (fabs.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64)))) (sqrt.f64 y)) |
(/.f64 (fabs.f64 (neg.f64 x)) (*.f64 y y)) |
(/.f64 (fabs.f64 (/.f64 x (sqrt.f64 y))) (pow.f64 y #s(literal 3/2 binary64))) |
(/.f64 (sqrt.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))) (sqrt.f64 (sqrt.f64 y))) |
(/.f64 (sqrt.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (sqrt.f64 y))) (pow.f64 y #s(literal 3/4 binary64))) |
(/.f64 (sqrt.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) x)) (sqrt.f64 (pow.f64 y #s(literal 5/2 binary64)))) |
(/.f64 (sqrt.f64 (*.f64 (/.f64 x y) (/.f64 x (sqrt.f64 y)))) (sqrt.f64 (pow.f64 y #s(literal 5/2 binary64)))) |
(/.f64 (sqrt.f64 (*.f64 (neg.f64 x) x)) (*.f64 y y)) |
(/.f64 (/.f64 x (pow.f64 y #s(literal 3/4 binary64))) (pow.f64 y #s(literal 5/4 binary64))) |
(/.f64 (/.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))) (sqrt.f64 y)) |
(/.f64 (neg.f64 x) (*.f64 y y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal 3/2 binary64))) |
(/.f64 x (*.f64 y y)) |
(neg.f64 (/.f64 (/.f64 x y) y)) |
(sqrt.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64))) |
(fabs.f64 (/.f64 (/.f64 x y) y)) |
(exp.f64 (fma.f64 (log.f64 (/.f64 x y)) #s(literal 1/2 binary64) (*.f64 (log.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64) (log.f64 (sqrt.f64 (/.f64 x y))))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (pow.f64 y #s(literal 5/4 binary64)) (pow.f64 y #s(literal 3/8 binary64))) (pow.f64 y #s(literal 3/8 binary64))) |
(*.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal 5/4 binary64))) (pow.f64 y #s(literal 3/4 binary64))) |
(*.f64 (*.f64 (neg.f64 (sqrt.f64 y)) (neg.f64 (pow.f64 y #s(literal 3/4 binary64)))) (neg.f64 (pow.f64 y #s(literal 3/4 binary64)))) |
(*.f64 (*.f64 (neg.f64 (sqrt.f64 y)) (pow.f64 y #s(literal 3/4 binary64))) (pow.f64 y #s(literal 3/4 binary64))) |
(*.f64 (*.f64 (sqrt.f64 y) (neg.f64 (pow.f64 y #s(literal 3/4 binary64)))) (neg.f64 (pow.f64 y #s(literal 3/4 binary64)))) |
(*.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal 3/4 binary64))) (pow.f64 y #s(literal 1/4 binary64))) (*.f64 (neg.f64 (pow.f64 y #s(literal 3/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)))) |
(*.f64 (*.f64 (pow.f64 y #s(literal 3/4 binary64)) (pow.f64 y #s(literal 1/4 binary64))) (*.f64 (pow.f64 y #s(literal 3/4 binary64)) (pow.f64 y #s(literal 1/4 binary64)))) |
(*.f64 (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (neg.f64 (pow.f64 y #s(literal 3/4 binary64)))) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (neg.f64 (pow.f64 y #s(literal 3/4 binary64))))) |
(*.f64 (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal 3/4 binary64))) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal 3/4 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 y #s(literal 5/4 binary64))) (pow.f64 y #s(literal 3/4 binary64))) |
(*.f64 (pow.f64 y #s(literal 5/4 binary64)) (neg.f64 (pow.f64 y #s(literal 3/4 binary64)))) |
(*.f64 (pow.f64 y #s(literal 5/4 binary64)) (pow.f64 y #s(literal 3/4 binary64))) |
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal 3/2 binary64)))) |
(*.f64 (pow.f64 y #s(literal 3/8 binary64)) (*.f64 (pow.f64 y #s(literal 3/8 binary64)) (pow.f64 y #s(literal 5/4 binary64)))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal 3/4 binary64))) (*.f64 (neg.f64 (pow.f64 y #s(literal 3/4 binary64))) (neg.f64 (sqrt.f64 y)))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal 3/4 binary64))) (*.f64 (neg.f64 (pow.f64 y #s(literal 3/4 binary64))) (sqrt.f64 y))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal 3/4 binary64))) (pow.f64 y #s(literal 5/4 binary64))) |
(*.f64 (pow.f64 y #s(literal 3/4 binary64)) (neg.f64 (pow.f64 y #s(literal 5/4 binary64)))) |
(*.f64 (pow.f64 y #s(literal 3/4 binary64)) (*.f64 (pow.f64 y #s(literal 3/4 binary64)) (neg.f64 (sqrt.f64 y)))) |
(*.f64 (pow.f64 y #s(literal 3/4 binary64)) (fabs.f64 (pow.f64 y #s(literal 5/4 binary64)))) |
(*.f64 (pow.f64 y #s(literal 3/4 binary64)) (pow.f64 y #s(literal 5/4 binary64))) |
(*.f64 (neg.f64 (sqrt.f64 y)) (pow.f64 y #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (neg.f64 (sqrt.f64 y))) |
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (sqrt.f64 y)) |
(*.f64 (sqrt.f64 y) (pow.f64 y #s(literal 3/2 binary64))) |
(*.f64 y 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 (sqrt.f64 y) #s(literal 4 binary64)) |
(pow.f64 y #s(literal 2 binary64)) |
(neg.f64 (*.f64 y y)) |
(fma.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))) (neg.f64 (sqrt.f64 y)) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))) (neg.f64 (sqrt.f64 y)))) |
(fma.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))) (sqrt.f64 y) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))) (sqrt.f64 y))) |
(fma.f64 (neg.f64 (sqrt.f64 y)) (cosh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))) (*.f64 (neg.f64 (sqrt.f64 y)) (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))))) |
(fma.f64 (sqrt.f64 y) (cosh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))) (*.f64 (sqrt.f64 y) (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))))) |
(sqrt.f64 (pow.f64 y #s(literal 4 binary64))) |
(fabs.f64 (*.f64 y y)) |
(exp.f64 (fma.f64 (log.f64 y) #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 y)))) |
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 y) (*.f64 (log.f64 y) #s(literal 3/2 binary64)))) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))) |
(+.f64 (*.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))) (sqrt.f64 y)) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))) (sqrt.f64 y))) |
(+.f64 (*.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))) (neg.f64 (sqrt.f64 y))) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))) (neg.f64 (sqrt.f64 y)))) |
(+.f64 (*.f64 (sqrt.f64 y) (cosh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64)))) (*.f64 (sqrt.f64 y) (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))))) |
(+.f64 (*.f64 (neg.f64 (sqrt.f64 y)) (cosh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64)))) (*.f64 (neg.f64 (sqrt.f64 y)) (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))))) |
(+.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))) (sinh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))) |
(*.f64 (*.f64 (pow.f64 y #s(literal 3/4 binary64)) (pow.f64 y #s(literal 3/8 binary64))) (pow.f64 y #s(literal 3/8 binary64))) |
(*.f64 (*.f64 y (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (neg.f64 (sqrt.f64 y))) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (neg.f64 (sqrt.f64 y)))) |
(*.f64 (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (sqrt.f64 y)) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (sqrt.f64 y))) |
(*.f64 (*.f64 (neg.f64 (sqrt.f64 y)) (pow.f64 y #s(literal 1/4 binary64))) (*.f64 (neg.f64 (sqrt.f64 y)) (pow.f64 y #s(literal 1/4 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 y) (pow.f64 y #s(literal 1/4 binary64))) (*.f64 (sqrt.f64 y) (pow.f64 y #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (pow.f64 y #s(literal 3/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 y #s(literal 3/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 y #s(literal 3/4 binary64)))) (neg.f64 (neg.f64 (pow.f64 y #s(literal 3/4 binary64))))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 y #s(literal 3/4 binary64)))) (neg.f64 (pow.f64 y #s(literal 3/4 binary64)))) |
(*.f64 (pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (pow.f64 y #s(literal 5/4 binary64)) #s(literal 3/4 binary64)) (pow.f64 (pow.f64 y #s(literal 3/4 binary64)) #s(literal 3/4 binary64))) |
(*.f64 (pow.f64 (pow.f64 y #s(literal 3/4 binary64)) #s(literal 3/4 binary64)) (pow.f64 (pow.f64 y #s(literal 5/4 binary64)) #s(literal 3/4 binary64))) |
(*.f64 (pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 3/4 binary64)) (pow.f64 y #s(literal 3/8 binary64))) |
(*.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 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) y)) |
(*.f64 (pow.f64 y #s(literal 3/8 binary64)) (*.f64 (pow.f64 y #s(literal 3/8 binary64)) (pow.f64 y #s(literal 3/4 binary64)))) |
(*.f64 (pow.f64 y #s(literal 3/8 binary64)) (pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 3/4 binary64))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal 3/4 binary64))) (neg.f64 (neg.f64 (pow.f64 y #s(literal 3/4 binary64))))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal 3/4 binary64))) (neg.f64 (pow.f64 y #s(literal 3/4 binary64)))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal 3/4 binary64))) (pow.f64 y #s(literal 3/4 binary64))) |
(*.f64 (pow.f64 y #s(literal 3/4 binary64)) (neg.f64 (pow.f64 y #s(literal 3/4 binary64)))) |
(*.f64 (pow.f64 y #s(literal 3/4 binary64)) (pow.f64 y #s(literal 3/4 binary64))) |
(*.f64 (neg.f64 (sqrt.f64 y)) y) |
(*.f64 (sqrt.f64 y) y) |
(*.f64 y (neg.f64 (sqrt.f64 y))) |
(*.f64 y (sqrt.f64 y)) |
(pow.f64 (exp.f64 #s(literal 3/2 binary64)) (log.f64 y)) |
(pow.f64 (neg.f64 (pow.f64 y #s(literal 3/4 binary64))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 y #s(literal 3/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (sqrt.f64 y)) #s(literal 3 binary64)) |
(pow.f64 (*.f64 y y) #s(literal 3/4 binary64)) |
(pow.f64 (sqrt.f64 y) #s(literal 3 binary64)) |
(pow.f64 y #s(literal 3/2 binary64)) |
(/.f64 (-.f64 (*.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))) (cosh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64)))) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))))) (-.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))) (cosh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))) (-.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64)))) (*.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))))))) |
(neg.f64 (pow.f64 y #s(literal 3/2 binary64))) |
(sqrt.f64 (pow.f64 y #s(literal 3 binary64))) |
(fabs.f64 (pow.f64 y #s(literal 3/2 binary64))) |
(exp.f64 (fma.f64 #s(literal 3/4 binary64) (log.f64 y) (*.f64 #s(literal 3/4 binary64) (log.f64 y)))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 3/4 binary64) (log.f64 y)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 3/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 y)) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 y #s(literal 3/4 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 y y)) #s(literal 3/4 binary64))) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))) |
(+.f64 (neg.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64)))) (neg.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))))) |
(+.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))) (cosh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64)))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 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)) |
(neg.f64 (neg.f64 (sqrt.f64 y))) |
(sqrt.f64 y) |
(fabs.f64 (neg.f64 (sqrt.f64 y))) |
(fabs.f64 (sqrt.f64 y)) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y))) |
(+.f64 (cosh.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y))) (sinh.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)))) |
Compiled 8 069 to 1 735 computations (78.5% saved)
11 alts after pruning (2 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 468 | 1 | 469 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 4 | 4 |
| Total | 468 | 11 | 479 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (-.f64 (/.f64 (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y)) y) #s(literal 3 binary64)) |
| ✓ | 99.9% | (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
| ✓ | 53.4% | (-.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y))) y) #s(literal 3 binary64)) |
| ✓ | 96.7% | (-.f64 (/.f64 x (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (sqrt.f64 y))) #s(literal 3 binary64)) |
| ▶ | 96.6% | (-.f64 (/.f64 x (*.f64 (*.f64 (sqrt.f64 y) y) (sqrt.f64 y))) #s(literal 3 binary64)) |
| ✓ | 96.7% | (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
| ✓ | 89.5% | (-.f64 (/.f64 x (sqrt.f64 (pow.f64 y #s(literal 4 binary64)))) #s(literal 3 binary64)) |
| ✓ | 44.5% | (-.f64 (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (*.f64 y y))) #s(literal 3 binary64)) |
| ▶ | 23.1% | (*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64)) #s(literal 27 binary64)) (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 8 binary64)) (pow.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))) |
| ✓ | 50.0% | #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) |
| ✓ | 52.2% | #s(approx (- (* (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) 3) (/.f64 (/.f64 x y) y)) |
Compiled 150 to 105 computations (30% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (sqrt.f64 y) y) | |
| cost-diff | 0 | (/.f64 x (*.f64 (*.f64 (sqrt.f64 y) y) (sqrt.f64 y))) | |
| cost-diff | 0 | (-.f64 (/.f64 x (*.f64 (*.f64 (sqrt.f64 y) y) (sqrt.f64 y))) #s(literal 3 binary64)) | |
| cost-diff | 4 | (*.f64 (*.f64 (sqrt.f64 y) y) (sqrt.f64 y)) | |
| cost-diff | 0 | (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64)) | |
| cost-diff | 0 | (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64)) #s(literal 27 binary64)) | |
| cost-diff | 0 | (/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64)) #s(literal 27 binary64)) (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 8 binary64)) (pow.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)) #s(literal 2 binary64)))) | |
| cost-diff | 0 | (*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64)) #s(literal 27 binary64)) (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 8 binary64)) (pow.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 203 |
| 0 | 48 | 199 |
| 1 | 70 | 199 |
| 2 | 121 | 191 |
| 3 | 301 | 191 |
| 4 | 1391 | 191 |
| 5 | 7466 | 191 |
| 0 | 8389 | 191 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64)) #s(literal 27 binary64)) (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 8 binary64)) (pow.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64)) #s(literal 27 binary64)) (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 8 binary64)) (pow.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)) #s(literal 2 binary64)))) |
(-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64)) #s(literal 27 binary64)) |
(pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64)) |
(/.f64 (sqrt.f64 x) y) |
(sqrt.f64 x) |
x |
y |
#s(literal 6 binary64) |
#s(literal 27 binary64) |
(-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 8 binary64)) (pow.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)) #s(literal 2 binary64))) |
(pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 8 binary64)) |
#s(literal 8 binary64) |
(pow.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)) #s(literal 2 binary64)) |
(fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x y) |
#s(literal 3 binary64) |
#s(literal 9 binary64) |
#s(literal 2 binary64) |
(-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64))) |
(pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(-.f64 (/.f64 x (*.f64 (*.f64 (sqrt.f64 y) y) (sqrt.f64 y))) #s(literal 3 binary64)) |
(/.f64 x (*.f64 (*.f64 (sqrt.f64 y) y) (sqrt.f64 y))) |
x |
(*.f64 (*.f64 (sqrt.f64 y) y) (sqrt.f64 y)) |
(*.f64 (sqrt.f64 y) y) |
(sqrt.f64 y) |
y |
#s(literal 3 binary64) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64)) #s(literal 27 binary64)) (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 8 binary64)) (pow.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))) |
(*.f64 (fma.f64 (/.f64 (/.f64 #s(literal -3 binary64) y) y) x (-.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 6 binary64)) #s(literal 27 binary64)) (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 8 binary64)) (pow.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y) #s(literal 9 binary64)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64)) #s(literal 27 binary64)) (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 8 binary64)) (pow.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64)) #s(literal 27 binary64)) (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 8 binary64)) (pow.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y) #s(literal 9 binary64)) #s(literal 2 binary64)))) |
(-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64)) #s(literal 27 binary64)) |
(pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64)) |
(/.f64 (sqrt.f64 x) y) |
(sqrt.f64 x) |
x |
y |
#s(literal 6 binary64) |
#s(literal 27 binary64) |
(-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 8 binary64)) (pow.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)) #s(literal 2 binary64))) |
(-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 8 binary64)) (pow.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y) #s(literal 9 binary64)) #s(literal 2 binary64))) |
(pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 8 binary64)) |
#s(literal 8 binary64) |
(pow.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)) #s(literal 2 binary64)) |
(pow.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y) #s(literal 9 binary64)) #s(literal 2 binary64)) |
(fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)) |
(fma.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y) #s(literal 9 binary64)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x y) |
#s(literal 3 binary64) |
#s(literal 9 binary64) |
#s(literal 2 binary64) |
(-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64))) |
(fma.f64 (/.f64 (/.f64 #s(literal -3 binary64) y) y) x (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) #s(literal 9 binary64))) |
(pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(-.f64 (/.f64 x (*.f64 (*.f64 (sqrt.f64 y) y) (sqrt.f64 y))) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(/.f64 x (*.f64 (*.f64 (sqrt.f64 y) y) (sqrt.f64 y))) |
(/.f64 (/.f64 x y) y) |
x |
(*.f64 (*.f64 (sqrt.f64 y) y) (sqrt.f64 y)) |
(*.f64 y y) |
(*.f64 (sqrt.f64 y) y) |
(sqrt.f64 y) |
y |
#s(literal 3 binary64) |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (-.f64 (/.f64 x (*.f64 (*.f64 (sqrt.f64 y) y) (sqrt.f64 y))) #s(literal 3 binary64)) | |
| accuracy | 0.0703125 | (*.f64 (sqrt.f64 y) y) | |
| accuracy | 0.0859375 | (*.f64 (*.f64 (sqrt.f64 y) y) (sqrt.f64 y)) | |
| accuracy | 3.292965143035779 | (/.f64 x (*.f64 (*.f64 (sqrt.f64 y) y) (sqrt.f64 y))) | |
| accuracy | 6.976562500000001 | (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64))) | |
| accuracy | 9.964843750000002 | (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 8 binary64)) (pow.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)) #s(literal 2 binary64))) | |
| accuracy | 10.297035631863848 | (*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64)) #s(literal 27 binary64)) (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 8 binary64)) (pow.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))) | |
| accuracy | 14.471386449752135 | (/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64)) #s(literal 27 binary64)) (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 8 binary64)) (pow.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)) #s(literal 2 binary64)))) |
| 45.0ms | 118× | 0 | valid |
| 26.0ms | 138× | 0 | invalid |
Compiled 212 to 31 computations (85.4% saved)
ival-div: 23.0ms (47.1% of total)ival-pow: 7.0ms (14.3% of total)ival-mult: 6.0ms (12.3% of total)ival-sub: 5.0ms (10.2% of total)ival-sqrt: 4.0ms (8.2% of total)ival-pow2: 3.0ms (6.1% of total)ival-add: 1.0ms (2% of total)exact: 1.0ms (2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64)) #s(literal 27 binary64)) (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 8 binary64)) (pow.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64)) #s(literal 27 binary64)) (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 8 binary64)) (pow.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)) #s(literal 2 binary64)))) |
(-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64)) #s(literal 27 binary64)) |
(pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64)) |
(*.f64 (*.f64 (sqrt.f64 y) y) (sqrt.f64 y)) |
(-.f64 (/.f64 x (*.f64 (*.f64 (sqrt.f64 y) y) (sqrt.f64 y))) #s(literal 3 binary64)) |
(/.f64 x (*.f64 (*.f64 (sqrt.f64 y) y) (sqrt.f64 y))) |
(*.f64 (sqrt.f64 y) y) |
(-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 8 binary64)) (pow.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)) #s(literal 2 binary64))) |
(-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64))) |
| Outputs |
|---|
-3 |
(- (/ x (pow y 2)) 3) |
1/3 |
(+ 1/3 (* -2/9 (/ x (pow y 2)))) |
(+ 1/3 (* x (- (* 1/9 (/ x (pow y 4))) (* 2/9 (/ 1 (pow y 2)))))) |
(+ 1/3 (* x (- (* x (+ (* -5/81 (/ x (pow y 6))) (* 1/9 (/ 1 (pow y 4))))) (* 2/9 (/ 1 (pow y 2)))))) |
-27 |
(- (/ (pow x 3) (pow y 6)) 27) |
(/ (pow x 3) (pow y 6)) |
(/ x (pow y 2)) |
-81 |
(- (* -54 (/ x (pow y 2))) 81) |
(- (* x (- (* -9 (/ x (pow y 4))) (* 54 (/ 1 (pow y 2))))) 81) |
(- (* x (- (* x (- (/ (pow x 2) (pow y 8)) (* 9 (/ 1 (pow y 4))))) (* 54 (/ 1 (pow y 2))))) 81) |
-9 |
(- (* -3 (/ x (pow y 2))) 9) |
(- (* x (- (/ x (pow y 4)) (* 3 (/ 1 (pow y 2))))) 9) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* x (- (+ (* -27 (/ (pow y 4) (pow x 3))) (/ 1 (pow y 2))) (+ (* -54 (/ (pow y 4) (pow x 3))) (+ (* 27 (/ (pow y 4) (pow x 3))) (* 3 (/ 1 x)))))) |
(* x (- (+ (* -27 (/ (pow y 4) (pow x 3))) (+ (* 81 (/ (pow y 6) (pow x 4))) (/ 1 (pow y 2)))) (+ (* -81 (/ (pow y 6) (pow x 4))) (+ (* -54 (/ (pow y 4) (pow x 3))) (+ (* 27 (/ (pow y 4) (pow x 3))) (+ (* 162 (/ (pow y 6) (pow x 4))) (* 3 (/ 1 x)))))))) |
(/ (pow y 2) x) |
(/ (+ (* 9 (/ (pow y 6) (pow x 2))) (pow y 2)) x) |
(/ (- (+ (* -27 (/ (pow y 8) (pow x 3))) (pow y 2)) (+ (* -54 (/ (pow y 8) (pow x 3))) (* -9 (/ (pow y 6) (pow x 2))))) x) |
(/ (- (+ (* -27 (/ (pow y 8) (pow x 3))) (+ (* 162 (/ (pow y 10) (pow x 4))) (pow y 2))) (+ (* -54 (/ (pow y 8) (pow x 3))) (* -9 (/ (pow y 6) (pow x 2))))) x) |
(* (pow x 3) (- (/ 1 (pow y 6)) (* 27 (/ 1 (pow x 3))))) |
(/ (pow x 4) (pow y 8)) |
(* (pow x 4) (- (/ 1 (pow y 8)) (* 9 (/ 1 (* (pow x 2) (pow y 4)))))) |
(* (pow x 4) (+ (* -1 (/ (+ (* 9 (/ 1 (pow y 4))) (* 54 (/ 1 (* x (pow y 2))))) (pow x 2))) (/ 1 (pow y 8)))) |
(* (pow x 4) (- (+ (* -1 (/ (+ (* 54 (/ 1 (pow y 2))) (* 81 (/ 1 x))) (pow x 3))) (/ 1 (pow y 8))) (/ 9 (* (pow x 2) (pow y 4))))) |
(/ (pow x 2) (pow y 4)) |
(* (pow x 2) (- (/ 1 (pow y 4)) (* 3 (/ 1 (* x (pow y 2)))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* 3 (/ 1 (pow y 2))) (* 9 (/ 1 x))) x)) (/ 1 (pow y 4)))) |
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2))) |
(* -1 (* x (- (/ (pow (sqrt -1) 2) (pow y 2)) (* 3 (/ 1 (* x (pow (sqrt -1) 2))))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (- (* -9 (/ (pow y 2) (pow (sqrt -1) 2))) (* -9 (/ (pow y 2) (pow (sqrt -1) 6)))) x)) (* 3 (/ 1 (pow (sqrt -1) 2)))) x)) (/ (pow (sqrt -1) 2) (pow y 2))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -9 (/ (pow y 2) (pow (sqrt -1) 2))) (* -1 (/ (- (* -27 (/ (pow y 4) (pow (sqrt -1) 4))) (+ (* -27 (/ (pow y 4) (pow (sqrt -1) 10))) (* 54 (/ (pow y 4) (pow (sqrt -1) 6))))) x))) (* -9 (/ (pow y 2) (pow (sqrt -1) 6)))) x)) (* 3 (/ 1 (pow (sqrt -1) 2)))) x)) (/ (pow (sqrt -1) 2) (pow y 2))))) |
(* -1 (/ (pow y 2) (* x (pow (sqrt -1) 2)))) |
(* -1 (/ (+ (* 9 (/ (pow y 6) (* (pow x 2) (pow (sqrt -1) 10)))) (/ (pow y 2) (pow (sqrt -1) 2))) x)) |
(* -1 (/ (- (+ (* -1 (/ (- (* -27 (/ (pow y 8) (pow (sqrt -1) 8))) (* 54 (/ (pow y 8) (pow (sqrt -1) 10)))) (pow x 3))) (/ (pow y 2) (pow (sqrt -1) 2))) (* -9 (/ (pow y 6) (* (pow x 2) (pow (sqrt -1) 10))))) x)) |
(* -1 (/ (- (+ (* -1 (/ (- (+ (* -81 (/ (pow y 10) (* x (pow (sqrt -1) 10)))) (+ (* -81 (/ (pow y 10) (* x (pow (sqrt -1) 18)))) (* -27 (/ (pow y 8) (pow (sqrt -1) 8))))) (* 54 (/ (pow y 8) (pow (sqrt -1) 10)))) (pow x 3))) (/ (pow y 2) (pow (sqrt -1) 2))) (* -9 (/ (pow y 6) (* (pow x 2) (pow (sqrt -1) 10))))) x)) |
(* -1 (/ (* (pow x 3) (pow (sqrt -1) 6)) (pow y 6))) |
(* -1 (* (pow x 3) (+ (* 27 (/ 1 (pow x 3))) (/ (pow (sqrt -1) 6) (pow y 6))))) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(/ (* (pow x 4) (pow (sqrt -1) 8)) (pow y 8)) |
(* (pow x 4) (- (/ (pow (sqrt -1) 8) (pow y 8)) (* 9 (/ 1 (* (pow x 2) (pow y 4)))))) |
(* (pow x 4) (+ (* -1 (/ (+ (* 9 (/ 1 (pow y 4))) (* 54 (/ 1 (* x (pow y 2))))) (pow x 2))) (/ (pow (sqrt -1) 8) (pow y 8)))) |
(* (pow x 4) (- (+ (* -1 (/ (+ (* 81 (/ 1 x)) (* 54 (/ 1 (pow y 2)))) (pow x 3))) (/ (pow (sqrt -1) 8) (pow y 8))) (/ 9 (* (pow x 2) (pow y 4))))) |
(/ (* (pow x 2) (pow (sqrt -1) 4)) (pow y 4)) |
(* (pow x 2) (- (/ (pow (sqrt -1) 4) (pow y 4)) (* 3 (/ 1 (* x (pow y 2)))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* 9 (/ 1 x)) (* 3 (/ 1 (pow y 2)))) x)) (/ (pow (sqrt -1) 4) (pow y 4)))) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(* (pow y 2) (+ (* 9 (/ (pow y 4) (pow x 3))) (/ 1 x))) |
(* (pow y 2) (+ (* (pow y 4) (+ (* 27 (/ (pow y 2) (pow x 4))) (* 9 (/ 1 (pow x 3))))) (/ 1 x))) |
(* (pow y 2) (+ (* (pow y 4) (+ (* (pow y 2) (+ (* 162 (/ (pow y 2) (pow x 5))) (* 27 (/ 1 (pow x 4))))) (* 9 (/ 1 (pow x 3))))) (/ 1 x))) |
(/ (+ (* -27 (pow y 6)) (pow x 3)) (pow y 6)) |
(pow y 2) |
(sqrt (pow y 3)) |
(/ (+ (* -9 (* (pow x 2) (pow y 4))) (pow x 4)) (pow y 8)) |
(/ (+ (* (pow y 4) (- (* -54 (* x (pow y 2))) (* 9 (pow x 2)))) (pow x 4)) (pow y 8)) |
(/ (+ (* (pow y 4) (- (* (pow y 2) (- (* -81 (pow y 2)) (* 54 x))) (* 9 (pow x 2)))) (pow x 4)) (pow y 8)) |
(/ (+ (* -3 (* x (pow y 2))) (pow x 2)) (pow y 4)) |
(/ (+ (* (pow y 2) (- (* -9 (pow y 2)) (* 3 x))) (pow x 2)) (pow y 4)) |
(- (* -1 (/ x (pow y 2))) (+ 3 (* -2 (/ x (pow y 2))))) |
(- (+ (* -1 (/ x (pow y 2))) (* 1/3 (/ (pow x 2) (pow y 4)))) (+ 3 (+ (* -2 (/ x (pow y 2))) (+ (* -1/3 (/ (pow x 2) (pow y 4))) (* 2/3 (/ (* x (- (* -1 x) (* -2 x))) (pow y 4))))))) |
(- (+ (* -1 (/ x (pow y 2))) (+ (* 1/9 (/ (pow x 3) (pow y 6))) (* 1/3 (/ (pow x 2) (pow y 4))))) (+ 3 (+ (* -2 (/ x (pow y 2))) (+ (* -1/3 (/ (pow x 2) (pow y 4))) (+ (* 1/9 (/ (* (pow x 2) (- (* -1 x) (* -2 x))) (pow y 6))) (+ (* 2/3 (/ (* x (- (* -1 x) (* -2 x))) (pow y 4))) (* 2/3 (/ (* x (- (* 1/3 (pow x 2)) (+ (* -1/3 (pow x 2)) (* 2/3 (* x (- (* -1 x) (* -2 x))))))) (pow y 6))))))))) |
(- (+ 1/3 (* -1 (/ (+ (* -4/27 (pow x 2)) (* 1/27 (pow x 2))) (pow y 4)))) (* 2/9 (/ x (pow y 2)))) |
(- (+ 1/3 (* -1/81 (/ (pow x 3) (pow y 6)))) (+ (* -2/3 (/ (* x (+ (* -4/27 (pow x 2)) (* 1/27 (pow x 2)))) (pow y 6))) (+ (* -4/27 (/ (pow x 2) (pow y 4))) (+ (* -2/81 (/ (pow x 3) (pow y 6))) (+ (* 1/27 (/ (pow x 2) (pow y 4))) (* 2/9 (/ x (pow y 2)))))))) |
(- (* -9 (/ (pow x 2) (pow y 4))) (+ 81 (* 54 (/ x (pow y 2))))) |
(- (/ (pow x 4) (pow y 8)) (+ 81 (+ (* 9 (/ (pow x 2) (pow y 4))) (* 54 (/ x (pow y 2)))))) |
(- (/ (pow x 2) (pow y 4)) (+ 9 (* 3 (/ x (pow y 2))))) |
(* -1 (* (pow y 2) (pow (sqrt -1) 2))) |
(- (* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) 3) |
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt (pow y 3)) (pow (sqrt -1) 2))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | y | @ | -inf | ((* (/ (- (pow (/ (sqrt x) y) 6) 27) (- (pow (/ (sqrt x) y) 8) (pow (+ (* (/ (/ x y) y) 3) 9) 2))) (- (pow (/ (sqrt x) y) 4) (+ (* (/ (/ x y) y) 3) 9))) (/ (- (pow (/ (sqrt x) y) 6) 27) (- (pow (/ (sqrt x) y) 8) (pow (+ (* (/ (/ x y) y) 3) 9) 2))) (- (pow (/ (sqrt x) y) 6) 27) (pow (/ (sqrt x) y) 6) (* (* (sqrt y) y) (sqrt y)) (- (/ x (* (* (sqrt y) y) (sqrt y))) 3) (/ x (* (* (sqrt y) y) (sqrt y))) (* (sqrt y) y) (- (pow (/ (sqrt x) y) 8) (pow (+ (* (/ (/ x y) y) 3) 9) 2)) (- (pow (/ (sqrt x) y) 4) (+ (* (/ (/ x y) y) 3) 9))) |
| 8.0ms | x | @ | inf | ((* (/ (- (pow (/ (sqrt x) y) 6) 27) (- (pow (/ (sqrt x) y) 8) (pow (+ (* (/ (/ x y) y) 3) 9) 2))) (- (pow (/ (sqrt x) y) 4) (+ (* (/ (/ x y) y) 3) 9))) (/ (- (pow (/ (sqrt x) y) 6) 27) (- (pow (/ (sqrt x) y) 8) (pow (+ (* (/ (/ x y) y) 3) 9) 2))) (- (pow (/ (sqrt x) y) 6) 27) (pow (/ (sqrt x) y) 6) (* (* (sqrt y) y) (sqrt y)) (- (/ x (* (* (sqrt y) y) (sqrt y))) 3) (/ x (* (* (sqrt y) y) (sqrt y))) (* (sqrt y) y) (- (pow (/ (sqrt x) y) 8) (pow (+ (* (/ (/ x y) y) 3) 9) 2)) (- (pow (/ (sqrt x) y) 4) (+ (* (/ (/ x y) y) 3) 9))) |
| 5.0ms | y | @ | 0 | ((* (/ (- (pow (/ (sqrt x) y) 6) 27) (- (pow (/ (sqrt x) y) 8) (pow (+ (* (/ (/ x y) y) 3) 9) 2))) (- (pow (/ (sqrt x) y) 4) (+ (* (/ (/ x y) y) 3) 9))) (/ (- (pow (/ (sqrt x) y) 6) 27) (- (pow (/ (sqrt x) y) 8) (pow (+ (* (/ (/ x y) y) 3) 9) 2))) (- (pow (/ (sqrt x) y) 6) 27) (pow (/ (sqrt x) y) 6) (* (* (sqrt y) y) (sqrt y)) (- (/ x (* (* (sqrt y) y) (sqrt y))) 3) (/ x (* (* (sqrt y) y) (sqrt y))) (* (sqrt y) y) (- (pow (/ (sqrt x) y) 8) (pow (+ (* (/ (/ x y) y) 3) 9) 2)) (- (pow (/ (sqrt x) y) 4) (+ (* (/ (/ x y) y) 3) 9))) |
| 5.0ms | x | @ | -inf | ((* (/ (- (pow (/ (sqrt x) y) 6) 27) (- (pow (/ (sqrt x) y) 8) (pow (+ (* (/ (/ x y) y) 3) 9) 2))) (- (pow (/ (sqrt x) y) 4) (+ (* (/ (/ x y) y) 3) 9))) (/ (- (pow (/ (sqrt x) y) 6) 27) (- (pow (/ (sqrt x) y) 8) (pow (+ (* (/ (/ x y) y) 3) 9) 2))) (- (pow (/ (sqrt x) y) 6) 27) (pow (/ (sqrt x) y) 6) (* (* (sqrt y) y) (sqrt y)) (- (/ x (* (* (sqrt y) y) (sqrt y))) 3) (/ x (* (* (sqrt y) y) (sqrt y))) (* (sqrt y) y) (- (pow (/ (sqrt x) y) 8) (pow (+ (* (/ (/ x y) y) 3) 9) 2)) (- (pow (/ (sqrt x) y) 4) (+ (* (/ (/ x y) y) 3) 9))) |
| 5.0ms | x | @ | 0 | ((* (/ (- (pow (/ (sqrt x) y) 6) 27) (- (pow (/ (sqrt x) y) 8) (pow (+ (* (/ (/ x y) y) 3) 9) 2))) (- (pow (/ (sqrt x) y) 4) (+ (* (/ (/ x y) y) 3) 9))) (/ (- (pow (/ (sqrt x) y) 6) 27) (- (pow (/ (sqrt x) y) 8) (pow (+ (* (/ (/ x y) y) 3) 9) 2))) (- (pow (/ (sqrt x) y) 6) 27) (pow (/ (sqrt x) y) 6) (* (* (sqrt y) y) (sqrt y)) (- (/ x (* (* (sqrt y) y) (sqrt y))) 3) (/ x (* (* (sqrt y) y) (sqrt y))) (* (sqrt y) y) (- (pow (/ (sqrt x) y) 8) (pow (+ (* (/ (/ x y) y) 3) 9) 2)) (- (pow (/ (sqrt x) y) 4) (+ (* (/ (/ x y) y) 3) 9))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 417 | 1584 |
| 1 | 1223 | 1494 |
| 2 | 4369 | 1467 |
| 0 | 8286 | 1399 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-3 |
(- (/ x (pow y 2)) 3) |
1/3 |
(+ 1/3 (* -2/9 (/ x (pow y 2)))) |
(+ 1/3 (* x (- (* 1/9 (/ x (pow y 4))) (* 2/9 (/ 1 (pow y 2)))))) |
(+ 1/3 (* x (- (* x (+ (* -5/81 (/ x (pow y 6))) (* 1/9 (/ 1 (pow y 4))))) (* 2/9 (/ 1 (pow y 2)))))) |
-27 |
(- (/ (pow x 3) (pow y 6)) 27) |
(/ (pow x 3) (pow y 6)) |
(/ x (pow y 2)) |
-81 |
(- (* -54 (/ x (pow y 2))) 81) |
(- (* x (- (* -9 (/ x (pow y 4))) (* 54 (/ 1 (pow y 2))))) 81) |
(- (* x (- (* x (- (/ (pow x 2) (pow y 8)) (* 9 (/ 1 (pow y 4))))) (* 54 (/ 1 (pow y 2))))) 81) |
-9 |
(- (* -3 (/ x (pow y 2))) 9) |
(- (* x (- (/ x (pow y 4)) (* 3 (/ 1 (pow y 2))))) 9) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* x (- (+ (* -27 (/ (pow y 4) (pow x 3))) (/ 1 (pow y 2))) (+ (* -54 (/ (pow y 4) (pow x 3))) (+ (* 27 (/ (pow y 4) (pow x 3))) (* 3 (/ 1 x)))))) |
(* x (- (+ (* -27 (/ (pow y 4) (pow x 3))) (+ (* 81 (/ (pow y 6) (pow x 4))) (/ 1 (pow y 2)))) (+ (* -81 (/ (pow y 6) (pow x 4))) (+ (* -54 (/ (pow y 4) (pow x 3))) (+ (* 27 (/ (pow y 4) (pow x 3))) (+ (* 162 (/ (pow y 6) (pow x 4))) (* 3 (/ 1 x)))))))) |
(/ (pow y 2) x) |
(/ (+ (* 9 (/ (pow y 6) (pow x 2))) (pow y 2)) x) |
(/ (- (+ (* -27 (/ (pow y 8) (pow x 3))) (pow y 2)) (+ (* -54 (/ (pow y 8) (pow x 3))) (* -9 (/ (pow y 6) (pow x 2))))) x) |
(/ (- (+ (* -27 (/ (pow y 8) (pow x 3))) (+ (* 162 (/ (pow y 10) (pow x 4))) (pow y 2))) (+ (* -54 (/ (pow y 8) (pow x 3))) (* -9 (/ (pow y 6) (pow x 2))))) x) |
(* (pow x 3) (- (/ 1 (pow y 6)) (* 27 (/ 1 (pow x 3))))) |
(/ (pow x 4) (pow y 8)) |
(* (pow x 4) (- (/ 1 (pow y 8)) (* 9 (/ 1 (* (pow x 2) (pow y 4)))))) |
(* (pow x 4) (+ (* -1 (/ (+ (* 9 (/ 1 (pow y 4))) (* 54 (/ 1 (* x (pow y 2))))) (pow x 2))) (/ 1 (pow y 8)))) |
(* (pow x 4) (- (+ (* -1 (/ (+ (* 54 (/ 1 (pow y 2))) (* 81 (/ 1 x))) (pow x 3))) (/ 1 (pow y 8))) (/ 9 (* (pow x 2) (pow y 4))))) |
(/ (pow x 2) (pow y 4)) |
(* (pow x 2) (- (/ 1 (pow y 4)) (* 3 (/ 1 (* x (pow y 2)))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* 3 (/ 1 (pow y 2))) (* 9 (/ 1 x))) x)) (/ 1 (pow y 4)))) |
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2))) |
(* -1 (* x (- (/ (pow (sqrt -1) 2) (pow y 2)) (* 3 (/ 1 (* x (pow (sqrt -1) 2))))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (- (* -9 (/ (pow y 2) (pow (sqrt -1) 2))) (* -9 (/ (pow y 2) (pow (sqrt -1) 6)))) x)) (* 3 (/ 1 (pow (sqrt -1) 2)))) x)) (/ (pow (sqrt -1) 2) (pow y 2))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -9 (/ (pow y 2) (pow (sqrt -1) 2))) (* -1 (/ (- (* -27 (/ (pow y 4) (pow (sqrt -1) 4))) (+ (* -27 (/ (pow y 4) (pow (sqrt -1) 10))) (* 54 (/ (pow y 4) (pow (sqrt -1) 6))))) x))) (* -9 (/ (pow y 2) (pow (sqrt -1) 6)))) x)) (* 3 (/ 1 (pow (sqrt -1) 2)))) x)) (/ (pow (sqrt -1) 2) (pow y 2))))) |
(* -1 (/ (pow y 2) (* x (pow (sqrt -1) 2)))) |
(* -1 (/ (+ (* 9 (/ (pow y 6) (* (pow x 2) (pow (sqrt -1) 10)))) (/ (pow y 2) (pow (sqrt -1) 2))) x)) |
(* -1 (/ (- (+ (* -1 (/ (- (* -27 (/ (pow y 8) (pow (sqrt -1) 8))) (* 54 (/ (pow y 8) (pow (sqrt -1) 10)))) (pow x 3))) (/ (pow y 2) (pow (sqrt -1) 2))) (* -9 (/ (pow y 6) (* (pow x 2) (pow (sqrt -1) 10))))) x)) |
(* -1 (/ (- (+ (* -1 (/ (- (+ (* -81 (/ (pow y 10) (* x (pow (sqrt -1) 10)))) (+ (* -81 (/ (pow y 10) (* x (pow (sqrt -1) 18)))) (* -27 (/ (pow y 8) (pow (sqrt -1) 8))))) (* 54 (/ (pow y 8) (pow (sqrt -1) 10)))) (pow x 3))) (/ (pow y 2) (pow (sqrt -1) 2))) (* -9 (/ (pow y 6) (* (pow x 2) (pow (sqrt -1) 10))))) x)) |
(* -1 (/ (* (pow x 3) (pow (sqrt -1) 6)) (pow y 6))) |
(* -1 (* (pow x 3) (+ (* 27 (/ 1 (pow x 3))) (/ (pow (sqrt -1) 6) (pow y 6))))) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(/ (* (pow x 4) (pow (sqrt -1) 8)) (pow y 8)) |
(* (pow x 4) (- (/ (pow (sqrt -1) 8) (pow y 8)) (* 9 (/ 1 (* (pow x 2) (pow y 4)))))) |
(* (pow x 4) (+ (* -1 (/ (+ (* 9 (/ 1 (pow y 4))) (* 54 (/ 1 (* x (pow y 2))))) (pow x 2))) (/ (pow (sqrt -1) 8) (pow y 8)))) |
(* (pow x 4) (- (+ (* -1 (/ (+ (* 81 (/ 1 x)) (* 54 (/ 1 (pow y 2)))) (pow x 3))) (/ (pow (sqrt -1) 8) (pow y 8))) (/ 9 (* (pow x 2) (pow y 4))))) |
(/ (* (pow x 2) (pow (sqrt -1) 4)) (pow y 4)) |
(* (pow x 2) (- (/ (pow (sqrt -1) 4) (pow y 4)) (* 3 (/ 1 (* x (pow y 2)))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* 9 (/ 1 x)) (* 3 (/ 1 (pow y 2)))) x)) (/ (pow (sqrt -1) 4) (pow y 4)))) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(* (pow y 2) (+ (* 9 (/ (pow y 4) (pow x 3))) (/ 1 x))) |
(* (pow y 2) (+ (* (pow y 4) (+ (* 27 (/ (pow y 2) (pow x 4))) (* 9 (/ 1 (pow x 3))))) (/ 1 x))) |
(* (pow y 2) (+ (* (pow y 4) (+ (* (pow y 2) (+ (* 162 (/ (pow y 2) (pow x 5))) (* 27 (/ 1 (pow x 4))))) (* 9 (/ 1 (pow x 3))))) (/ 1 x))) |
(/ (+ (* -27 (pow y 6)) (pow x 3)) (pow y 6)) |
(pow y 2) |
(sqrt (pow y 3)) |
(/ (+ (* -9 (* (pow x 2) (pow y 4))) (pow x 4)) (pow y 8)) |
(/ (+ (* (pow y 4) (- (* -54 (* x (pow y 2))) (* 9 (pow x 2)))) (pow x 4)) (pow y 8)) |
(/ (+ (* (pow y 4) (- (* (pow y 2) (- (* -81 (pow y 2)) (* 54 x))) (* 9 (pow x 2)))) (pow x 4)) (pow y 8)) |
(/ (+ (* -3 (* x (pow y 2))) (pow x 2)) (pow y 4)) |
(/ (+ (* (pow y 2) (- (* -9 (pow y 2)) (* 3 x))) (pow x 2)) (pow y 4)) |
(- (* -1 (/ x (pow y 2))) (+ 3 (* -2 (/ x (pow y 2))))) |
(- (+ (* -1 (/ x (pow y 2))) (* 1/3 (/ (pow x 2) (pow y 4)))) (+ 3 (+ (* -2 (/ x (pow y 2))) (+ (* -1/3 (/ (pow x 2) (pow y 4))) (* 2/3 (/ (* x (- (* -1 x) (* -2 x))) (pow y 4))))))) |
(- (+ (* -1 (/ x (pow y 2))) (+ (* 1/9 (/ (pow x 3) (pow y 6))) (* 1/3 (/ (pow x 2) (pow y 4))))) (+ 3 (+ (* -2 (/ x (pow y 2))) (+ (* -1/3 (/ (pow x 2) (pow y 4))) (+ (* 1/9 (/ (* (pow x 2) (- (* -1 x) (* -2 x))) (pow y 6))) (+ (* 2/3 (/ (* x (- (* -1 x) (* -2 x))) (pow y 4))) (* 2/3 (/ (* x (- (* 1/3 (pow x 2)) (+ (* -1/3 (pow x 2)) (* 2/3 (* x (- (* -1 x) (* -2 x))))))) (pow y 6))))))))) |
(- (+ 1/3 (* -1 (/ (+ (* -4/27 (pow x 2)) (* 1/27 (pow x 2))) (pow y 4)))) (* 2/9 (/ x (pow y 2)))) |
(- (+ 1/3 (* -1/81 (/ (pow x 3) (pow y 6)))) (+ (* -2/3 (/ (* x (+ (* -4/27 (pow x 2)) (* 1/27 (pow x 2)))) (pow y 6))) (+ (* -4/27 (/ (pow x 2) (pow y 4))) (+ (* -2/81 (/ (pow x 3) (pow y 6))) (+ (* 1/27 (/ (pow x 2) (pow y 4))) (* 2/9 (/ x (pow y 2)))))))) |
(- (* -9 (/ (pow x 2) (pow y 4))) (+ 81 (* 54 (/ x (pow y 2))))) |
(- (/ (pow x 4) (pow y 8)) (+ 81 (+ (* 9 (/ (pow x 2) (pow y 4))) (* 54 (/ x (pow y 2)))))) |
(- (/ (pow x 2) (pow y 4)) (+ 9 (* 3 (/ x (pow y 2))))) |
(* -1 (* (pow y 2) (pow (sqrt -1) 2))) |
(- (* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) 3) |
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt (pow y 3)) (pow (sqrt -1) 2))) |
| Outputs |
|---|
-3 |
#s(literal -3 binary64) |
(- (/ x (pow y 2)) 3) |
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
1/3 |
#s(literal 1/3 binary64) |
(+ 1/3 (* -2/9 (/ x (pow y 2)))) |
(fma.f64 #s(literal -2/9 binary64) (/.f64 x (*.f64 y y)) #s(literal 1/3 binary64)) |
(+ 1/3 (* x (- (* 1/9 (/ x (pow y 4))) (* 2/9 (/ 1 (pow y 2)))))) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 y #s(literal 4 binary64))) x (/.f64 #s(literal -2/9 binary64) (*.f64 y y))) x #s(literal 1/3 binary64)) |
(+ 1/3 (* x (- (* x (+ (* -5/81 (/ x (pow y 6))) (* 1/9 (/ 1 (pow y 4))))) (* 2/9 (/ 1 (pow y 2)))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 6 binary64))) #s(literal -5/81 binary64) (/.f64 #s(literal 1/9 binary64) (pow.f64 y #s(literal 4 binary64)))) x (/.f64 #s(literal -2/9 binary64) (*.f64 y y))) x #s(literal 1/3 binary64)) |
-27 |
#s(literal -27 binary64) |
(- (/ (pow x 3) (pow y 6)) 27) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 27 binary64)) |
(/ (pow x 3) (pow y 6)) |
(/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
-81 |
#s(literal -81 binary64) |
(- (* -54 (/ x (pow y 2))) 81) |
(-.f64 (*.f64 #s(literal -54 binary64) (/.f64 x (*.f64 y y))) #s(literal 81 binary64)) |
(- (* x (- (* -9 (/ x (pow y 4))) (* 54 (/ 1 (pow y 2))))) 81) |
(-.f64 (*.f64 (fma.f64 #s(literal -9 binary64) (/.f64 x (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal -54 binary64) (*.f64 y y))) x) #s(literal 81 binary64)) |
(- (* x (- (* x (- (/ (pow x 2) (pow y 8)) (* 9 (/ 1 (pow y 4))))) (* 54 (/ 1 (pow y 2))))) 81) |
(-.f64 (*.f64 (fma.f64 (fma.f64 x (/.f64 x (pow.f64 y #s(literal 8 binary64))) (/.f64 #s(literal -9 binary64) (pow.f64 y #s(literal 4 binary64)))) x (/.f64 #s(literal -54 binary64) (*.f64 y y))) x) #s(literal 81 binary64)) |
-9 |
#s(literal -9 binary64) |
(- (* -3 (/ x (pow y 2))) 9) |
(-.f64 (*.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) #s(literal 9 binary64)) |
(- (* x (- (/ x (pow y 4)) (* 3 (/ 1 (pow y 2))))) 9) |
(-.f64 (*.f64 (-.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 3 binary64) (*.f64 y y))) x) #s(literal 9 binary64)) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 3 binary64) x)) x) |
(* x (- (+ (* -27 (/ (pow y 4) (pow x 3))) (/ 1 (pow y 2))) (+ (* -54 (/ (pow y 4) (pow x 3))) (+ (* 27 (/ (pow y 4) (pow x 3))) (* 3 (/ 1 x)))))) |
(*.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -27 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -27 binary64) (/.f64 #s(literal 3 binary64) x))) x) |
(* x (- (+ (* -27 (/ (pow y 4) (pow x 3))) (+ (* 81 (/ (pow y 6) (pow x 4))) (/ 1 (pow y 2)))) (+ (* -81 (/ (pow y 6) (pow x 4))) (+ (* -54 (/ (pow y 4) (pow x 3))) (+ (* 27 (/ (pow y 4) (pow x 3))) (+ (* 162 (/ (pow y 6) (pow x 4))) (* 3 (/ 1 x)))))))) |
(*.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 81 binary64) (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -27 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) (fma.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -81 binary64) (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -27 binary64) (fma.f64 #s(literal 162 binary64) (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 3 binary64) x))))) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (+ (* 9 (/ (pow y 6) (pow x 2))) (pow y 2)) x) |
(/.f64 (fma.f64 (/.f64 #s(literal 9 binary64) x) (/.f64 (pow.f64 y #s(literal 6 binary64)) x) (*.f64 y y)) x) |
(/ (- (+ (* -27 (/ (pow y 8) (pow x 3))) (pow y 2)) (+ (* -54 (/ (pow y 8) (pow x 3))) (* -9 (/ (pow y 6) (pow x 2))))) x) |
(/.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -27 binary64) (-.f64 (*.f64 y y) (/.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 y #s(literal 6 binary64)) (/.f64 (*.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal -54 binary64)) x)) (*.f64 x x)))) x) |
(/ (- (+ (* -27 (/ (pow y 8) (pow x 3))) (+ (* 162 (/ (pow y 10) (pow x 4))) (pow y 2))) (+ (* -54 (/ (pow y 8) (pow x 3))) (* -9 (/ (pow y 6) (pow x 2))))) x) |
(/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 10 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 162 binary64) (fma.f64 (/.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -27 binary64) (*.f64 y y))) (/.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 y #s(literal 6 binary64)) (/.f64 (*.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal -54 binary64)) x)) (*.f64 x x))) x) |
(* (pow x 3) (- (/ 1 (pow y 6)) (* 27 (/ 1 (pow x 3))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64))) |
(/ (pow x 4) (pow y 8)) |
(/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) |
(* (pow x 4) (- (/ 1 (pow y 8)) (* 9 (/ 1 (* (pow x 2) (pow y 4)))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (/.f64 (/.f64 (/.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) x) x)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ (* -1 (/ (+ (* 9 (/ 1 (pow y 4))) (* 54 (/ 1 (* x (pow y 2))))) (pow x 2))) (/ 1 (pow y 8)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 54 binary64) (*.f64 y y)) x) (/.f64 #s(literal -9 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (- (+ (* -1 (/ (+ (* 54 (/ 1 (pow y 2))) (* 81 (/ 1 x))) (pow x 3))) (/ 1 (pow y 8))) (/ 9 (* (pow x 2) (pow y 4))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 81 binary64) x) (/.f64 #s(literal -54 binary64) (*.f64 y y))) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (/.f64 (/.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) x) x)) (pow.f64 x #s(literal 4 binary64))) |
(/ (pow x 2) (pow y 4)) |
(*.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x) |
(* (pow x 2) (- (/ 1 (pow y 4)) (* 3 (/ 1 (* x (pow y 2)))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 3 binary64) (*.f64 y y)) x)) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 (/ (+ (* 3 (/ 1 (pow y 2))) (* 9 (/ 1 x))) x)) (/ 1 (pow y 4)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 9 binary64) x) (/.f64 #s(literal -3 binary64) (*.f64 y y))) x)) (*.f64 x x)) |
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2))) |
(/.f64 x (*.f64 y y)) |
(* -1 (* x (- (/ (pow (sqrt -1) 2) (pow y 2)) (* 3 (/ 1 (* x (pow (sqrt -1) 2))))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 3 binary64) x)) x) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (- (* -9 (/ (pow y 2) (pow (sqrt -1) 2))) (* -9 (/ (pow y 2) (pow (sqrt -1) 6)))) x)) (* 3 (/ 1 (pow (sqrt -1) 2)))) x)) (/ (pow (sqrt -1) 2) (pow y 2))))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 9 binary64) (/.f64 (-.f64 (/.f64 (*.f64 y y) #s(literal -1 binary64)) (*.f64 y (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))))) x) #s(literal -3 binary64)) x) x (/.f64 x (*.f64 y y))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -9 (/ (pow y 2) (pow (sqrt -1) 2))) (* -1 (/ (- (* -27 (/ (pow y 4) (pow (sqrt -1) 4))) (+ (* -27 (/ (pow y 4) (pow (sqrt -1) 10))) (* 54 (/ (pow y 4) (pow (sqrt -1) 6))))) x))) (* -9 (/ (pow y 2) (pow (sqrt -1) 6)))) x)) (* 3 (/ 1 (pow (sqrt -1) 2)))) x)) (/ (pow (sqrt -1) 2) (pow y 2))))) |
(fma.f64 (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (fma.f64 (*.f64 y (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)))) #s(literal 9 binary64) (fma.f64 (*.f64 y y) #s(literal 9 binary64) (/.f64 (fma.f64 #s(literal -27 binary64) (-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 10 binary64)))) (/.f64 (*.f64 #s(literal -54 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)))) (neg.f64 x)))) x)) x) x (/.f64 x (*.f64 y y))) |
(* -1 (/ (pow y 2) (* x (pow (sqrt -1) 2)))) |
(/.f64 (*.f64 y y) x) |
(* -1 (/ (+ (* 9 (/ (pow y 6) (* (pow x 2) (pow (sqrt -1) 10)))) (/ (pow y 2) (pow (sqrt -1) 2))) x)) |
(fma.f64 (/.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) x) x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 10 binary64))) (/.f64 #s(literal -9 binary64) x) (/.f64 (*.f64 y y) x)) |
(* -1 (/ (- (+ (* -1 (/ (- (* -27 (/ (pow y 8) (pow (sqrt -1) 8))) (* 54 (/ (pow y 8) (pow (sqrt -1) 10)))) (pow x 3))) (/ (pow y 2) (pow (sqrt -1) 2))) (* -9 (/ (pow y 6) (* (pow x 2) (pow (sqrt -1) 10))))) x)) |
(/.f64 (fma.f64 y (/.f64 y #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 10 binary64))) #s(literal -54 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal -27 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))))) x) (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 10 binary64)))) (*.f64 x x))) (neg.f64 x)) |
(* -1 (/ (- (+ (* -1 (/ (- (+ (* -81 (/ (pow y 10) (* x (pow (sqrt -1) 10)))) (+ (* -81 (/ (pow y 10) (* x (pow (sqrt -1) 18)))) (* -27 (/ (pow y 8) (pow (sqrt -1) 8))))) (* 54 (/ (pow y 8) (pow (sqrt -1) 10)))) (pow x 3))) (/ (pow y 2) (pow (sqrt -1) 2))) (* -9 (/ (pow y 6) (* (pow x 2) (pow (sqrt -1) 10))))) x)) |
(/.f64 (fma.f64 y (/.f64 y #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 (neg.f64 (+.f64 (fma.f64 (/.f64 #s(literal -81 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 18 binary64))) (/.f64 (pow.f64 y #s(literal 10 binary64)) x) (/.f64 (*.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal -27 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64)))) (/.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 10 binary64)) x) #s(literal -81 binary64) (*.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal -54 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 10 binary64))))) x) (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 10 binary64)))) (*.f64 x x))) (neg.f64 x)) |
(* -1 (/ (* (pow x 3) (pow (sqrt -1) 6)) (pow y 6))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) |
(* -1 (* (pow x 3) (+ (* 27 (/ 1 (pow x 3))) (/ (pow (sqrt -1) 6) (pow y 6))))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3 binary64))))) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 3 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) |
(/ (* (pow x 4) (pow (sqrt -1) 8)) (pow y 8)) |
(*.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (- (/ (pow (sqrt -1) 8) (pow y 8)) (* 9 (/ 1 (* (pow x 2) (pow y 4)))))) |
(*.f64 (-.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) (/.f64 (/.f64 (/.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) x) x)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ (* -1 (/ (+ (* 9 (/ 1 (pow y 4))) (* 54 (/ 1 (* x (pow y 2))))) (pow x 2))) (/ (pow (sqrt -1) 8) (pow y 8)))) |
(*.f64 (-.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 54 binary64) (*.f64 y y)) x) (/.f64 #s(literal -9 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (- (+ (* -1 (/ (+ (* 81 (/ 1 x)) (* 54 (/ 1 (pow y 2)))) (pow x 3))) (/ (pow (sqrt -1) 8) (pow y 8))) (/ 9 (* (pow x 2) (pow y 4))))) |
(*.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 81 binary64) x) (/.f64 #s(literal -54 binary64) (*.f64 y y))) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (/.f64 (/.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) x) x)) (pow.f64 x #s(literal 4 binary64))) |
(/ (* (pow x 2) (pow (sqrt -1) 4)) (pow y 4)) |
(*.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 x x)) |
(* (pow x 2) (- (/ (pow (sqrt -1) 4) (pow y 4)) (* 3 (/ 1 (* x (pow y 2)))))) |
(*.f64 (-.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 3 binary64) (*.f64 y y)) x)) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 (/ (+ (* 9 (/ 1 x)) (* 3 (/ 1 (pow y 2)))) x)) (/ (pow (sqrt -1) 4) (pow y 4)))) |
(*.f64 (-.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 9 binary64) x) (/.f64 #s(literal -3 binary64) (*.f64 y y))) x)) (*.f64 x x)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -3 binary64) x) y) y) |
(* (pow y 2) (+ (* 9 (/ (pow y 4) (pow x 3))) (/ 1 x))) |
(*.f64 (fma.f64 (/.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) x)) (*.f64 y y)) |
(* (pow y 2) (+ (* (pow y 4) (+ (* 27 (/ (pow y 2) (pow x 4))) (* 9 (/ 1 (pow x 3))))) (/ 1 x))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 4 binary64))) y) y (/.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) x)) (*.f64 y y)) |
(* (pow y 2) (+ (* (pow y 4) (+ (* (pow y 2) (+ (* 162 (/ (pow y 2) (pow x 5))) (* 27 (/ 1 (pow x 4))))) (* 9 (/ 1 (pow x 3))))) (/ 1 x))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y (/.f64 y (pow.f64 x #s(literal 5 binary64)))) #s(literal 162 binary64) (/.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 y y) (/.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) x)) (*.f64 y y)) |
(/ (+ (* -27 (pow y 6)) (pow x 3)) (pow y 6)) |
(/.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 6 binary64))) |
(pow y 2) |
(*.f64 y y) |
(sqrt (pow y 3)) |
(sqrt.f64 (pow.f64 y #s(literal 3 binary64))) |
(/ (+ (* -9 (* (pow x 2) (pow y 4))) (pow x 4)) (pow y 8)) |
(/.f64 (fma.f64 (*.f64 #s(literal -9 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 x x) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 8 binary64))) |
(/ (+ (* (pow y 4) (- (* -54 (* x (pow y 2))) (* 9 (pow x 2)))) (pow x 4)) (pow y 8)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -9 binary64) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -54 binary64))) (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 8 binary64))) |
(/ (+ (* (pow y 4) (- (* (pow y 2) (- (* -81 (pow y 2)) (* 54 x))) (* 9 (pow x 2)))) (pow x 4)) (pow y 8)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -54 binary64) x (*.f64 #s(literal -81 binary64) (*.f64 y y))) y) y (*.f64 (*.f64 x x) #s(literal -9 binary64))) (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 8 binary64))) |
(/ (+ (* -3 (* x (pow y 2))) (pow x 2)) (pow y 4)) |
(/.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal -3 binary64)) x (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) |
(/ (+ (* (pow y 2) (- (* -9 (pow y 2)) (* 3 x))) (pow x 2)) (pow y 4)) |
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) x (*.f64 #s(literal -9 binary64) (*.f64 y y))) y) y (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) |
(- (* -1 (/ x (pow y 2))) (+ 3 (* -2 (/ x (pow y 2))))) |
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
(- (+ (* -1 (/ x (pow y 2))) (* 1/3 (/ (pow x 2) (pow y 4)))) (+ 3 (+ (* -2 (/ x (pow y 2))) (+ (* -1/3 (/ (pow x 2) (pow y 4))) (* 2/3 (/ (* x (- (* -1 x) (* -2 x))) (pow y 4))))))) |
(-.f64 (fma.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x) #s(literal 1/3 binary64) (/.f64 (/.f64 (neg.f64 x) y) y)) (+.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 x y) (/.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) (pow.f64 y #s(literal 4 binary64)))) #s(literal 3 binary64))) |
(- (+ (* -1 (/ x (pow y 2))) (+ (* 1/9 (/ (pow x 3) (pow y 6))) (* 1/3 (/ (pow x 2) (pow y 4))))) (+ 3 (+ (* -2 (/ x (pow y 2))) (+ (* -1/3 (/ (pow x 2) (pow y 4))) (+ (* 1/9 (/ (* (pow x 2) (- (* -1 x) (* -2 x))) (pow y 6))) (+ (* 2/3 (/ (* x (- (* -1 x) (* -2 x))) (pow y 4))) (* 2/3 (/ (* x (- (* 1/3 (pow x 2)) (+ (* -1/3 (pow x 2)) (* 2/3 (* x (- (* -1 x) (* -2 x))))))) (pow y 6))))))))) |
(-.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/9 binary64) (fma.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x) #s(literal 1/3 binary64) (/.f64 (/.f64 (neg.f64 x) y) y))) (fma.f64 #s(literal -2 binary64) (/.f64 x (*.f64 y y)) #s(literal 3 binary64))) (fma.f64 #s(literal -1/3 binary64) (*.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x) (fma.f64 (*.f64 #s(literal 2/3 binary64) x) (/.f64 x (pow.f64 y #s(literal 4 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) x) (fma.f64 (*.f64 #s(literal 2/3 binary64) x) x (*.f64 #s(literal -2/3 binary64) (*.f64 x x))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/9 binary64))) (pow.f64 y #s(literal 6 binary64)))))) |
(- (+ 1/3 (* -1 (/ (+ (* -4/27 (pow x 2)) (* 1/27 (pow x 2))) (pow y 4)))) (* 2/9 (/ x (pow y 2)))) |
(fma.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x) #s(literal 1/9 binary64) (fma.f64 #s(literal -2/9 binary64) (/.f64 x (*.f64 y y)) #s(literal 1/3 binary64))) |
(- (+ 1/3 (* -1/81 (/ (pow x 3) (pow y 6)))) (+ (* -2/3 (/ (* x (+ (* -4/27 (pow x 2)) (* 1/27 (pow x 2)))) (pow y 6))) (+ (* -4/27 (/ (pow x 2) (pow y 4))) (+ (* -2/81 (/ (pow x 3) (pow y 6))) (+ (* 1/27 (/ (pow x 2) (pow y 4))) (* 2/9 (/ x (pow y 2)))))))) |
(-.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 (fma.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/9 binary64)) #s(literal -2/3 binary64))) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 #s(literal -4/27 binary64) (*.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x) (fma.f64 #s(literal -2/81 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 #s(literal 1/27 binary64) (*.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x) (*.f64 #s(literal 2/9 binary64) (/.f64 x (*.f64 y y))))))) |
(- (* -9 (/ (pow x 2) (pow y 4))) (+ 81 (* 54 (/ x (pow y 2))))) |
(-.f64 (fma.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x) #s(literal -9 binary64) (*.f64 #s(literal -54 binary64) (/.f64 x (*.f64 y y)))) #s(literal 81 binary64)) |
(- (/ (pow x 4) (pow y 8)) (+ 81 (+ (* 9 (/ (pow x 2) (pow y 4))) (* 54 (/ x (pow y 2)))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (fma.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x) #s(literal 9 binary64) (fma.f64 #s(literal 54 binary64) (/.f64 x (*.f64 y y)) #s(literal 81 binary64)))) |
(- (/ (pow x 2) (pow y 4)) (+ 9 (* 3 (/ x (pow y 2))))) |
(-.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x (*.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))) #s(literal 9 binary64)) |
(* -1 (* (pow y 2) (pow (sqrt -1) 2))) |
(*.f64 y y) |
(- (* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) 3) |
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) |
(/.f64 x (*.f64 y y)) |
(* -1 (* (sqrt (pow y 3)) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 145 |
| 0 | 48 | 145 |
| 1 | 169 | 141 |
| 2 | 1109 | 132 |
| 0 | 8560 | 132 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64)) #s(literal 27 binary64)) (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 8 binary64)) (pow.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64)) #s(literal 27 binary64)) (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 8 binary64)) (pow.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)) #s(literal 2 binary64)))) |
(-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64)) #s(literal 27 binary64)) |
(pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64)) |
(*.f64 (*.f64 (sqrt.f64 y) y) (sqrt.f64 y)) |
(-.f64 (/.f64 x (*.f64 (*.f64 (sqrt.f64 y) y) (sqrt.f64 y))) #s(literal 3 binary64)) |
(/.f64 x (*.f64 (*.f64 (sqrt.f64 y) y) (sqrt.f64 y))) |
(*.f64 (sqrt.f64 y) y) |
(-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 8 binary64)) (pow.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)) #s(literal 2 binary64))) |
(-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64))) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) (fma.f64 (/.f64 #s(literal 3 binary64) y) (/.f64 x y) #s(literal 9 binary64))) (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) (fma.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y) #s(literal -9 binary64)))) (/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64)) #s(literal 27 binary64)) (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) (fma.f64 (/.f64 #s(literal 3 binary64) y) (/.f64 x y) #s(literal 9 binary64))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64)) #s(literal 27 binary64)) (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) (fma.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y) #s(literal -9 binary64)))) (/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) (fma.f64 (/.f64 #s(literal 3 binary64) y) (/.f64 x y) #s(literal 9 binary64))) (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) (fma.f64 (/.f64 #s(literal 3 binary64) y) (/.f64 x y) #s(literal 9 binary64))))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) (fma.f64 (/.f64 #s(literal 3 binary64) y) (/.f64 x y) #s(literal 9 binary64))) (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64)) #s(literal 27 binary64))) (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 16 binary64)) (pow.f64 (fma.f64 (/.f64 #s(literal 3 binary64) y) (/.f64 x y) #s(literal 9 binary64)) #s(literal 4 binary64)))) (+.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y) #s(literal -9 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 8 binary64)))) |
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(neg.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 8 binary64)) (pow.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y) #s(literal -9 binary64)) #s(literal 2 binary64))) (+.f64 (neg.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64))) (fma.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y) #s(literal -9 binary64))))) |
(fma.f64 (neg.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 2 binary64))) (neg.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 2 binary64))) (fma.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y) #s(literal -9 binary64))) |
(fma.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 2 binary64)) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 2 binary64)) (fma.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y) #s(literal -9 binary64))) |
(-.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) (*.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) (*.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))) #s(literal 9 binary64))) (/.f64 #s(literal 81 binary64) (+.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) (*.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))) #s(literal 9 binary64)))) |
(-.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) (*.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) (*.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 #s(literal 81 binary64) (*.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) (*.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))) #s(literal 9 binary64))))) (/.f64 #s(literal 729 binary64) (+.f64 (pow.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) (*.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 #s(literal 81 binary64) (*.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) (*.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))) #s(literal 9 binary64)))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 16 binary64)) (*.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y) #s(literal -9 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 8 binary64))) (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) (fma.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y) #s(literal -9 binary64))))) (/.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 3 binary64) y) (/.f64 x y) #s(literal 9 binary64)) #s(literal 4 binary64)) (*.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y) #s(literal -9 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 8 binary64))) (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) (fma.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y) #s(literal -9 binary64)))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 24 binary64)) (*.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y) #s(literal -9 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y) #s(literal -9 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 8 binary64))) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 16 binary64))) (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) (fma.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y) #s(literal -9 binary64))))) (/.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 3 binary64) y) (/.f64 x y) #s(literal 9 binary64)) #s(literal 6 binary64)) (*.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y) #s(literal -9 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y) #s(literal -9 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 8 binary64))) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 16 binary64))) (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) (fma.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y) #s(literal -9 binary64)))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 16 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y) #s(literal -9 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 8 binary64)))) (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) (fma.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y) #s(literal -9 binary64)))) (/.f64 (/.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 3 binary64) y) (/.f64 x y) #s(literal 9 binary64)) #s(literal 4 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y) #s(literal -9 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 8 binary64)))) (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) (fma.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y) #s(literal -9 binary64))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 24 binary64)) (fma.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y) #s(literal -9 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y) #s(literal -9 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 8 binary64))) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 16 binary64)))) (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) (fma.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y) #s(literal -9 binary64)))) (/.f64 (/.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 3 binary64) y) (/.f64 x y) #s(literal 9 binary64)) #s(literal 6 binary64)) (fma.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y) #s(literal -9 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y) #s(literal -9 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 8 binary64))) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 16 binary64)))) (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) (fma.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y) #s(literal -9 binary64))))) |
(-.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 12 binary64)) (fma.f64 (fma.f64 (/.f64 #s(literal 3 binary64) y) (/.f64 x y) #s(literal 9 binary64)) (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) (fma.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y) #s(literal -9 binary64))) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 8 binary64)))) (/.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 3 binary64) y) (/.f64 x y) #s(literal 9 binary64)) #s(literal 3 binary64)) (fma.f64 (fma.f64 (/.f64 #s(literal 3 binary64) y) (/.f64 x y) #s(literal 9 binary64)) (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) (fma.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y) #s(literal -9 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)) (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) (fma.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y) #s(literal -9 binary64)))) (/.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y) #s(literal -9 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) (fma.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y) #s(literal -9 binary64))))) |
(-.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) (*.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))) #s(literal 9 binary64)) |
(-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) (fma.f64 (/.f64 #s(literal 3 binary64) y) (/.f64 x y) #s(literal 9 binary64))) |
(+.f64 (/.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 16 binary64)) (*.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y) #s(literal -9 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 8 binary64))) (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) (fma.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y) #s(literal -9 binary64))))) (/.f64 (neg.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 3 binary64) y) (/.f64 x y) #s(literal 9 binary64)) #s(literal 4 binary64))) (*.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y) #s(literal -9 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 8 binary64))) (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) (fma.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y) #s(literal -9 binary64)))))) |
(+.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y))) |
(+.f64 (/.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 8 binary64)) (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) (fma.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y) #s(literal -9 binary64)))) (/.f64 (neg.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y) #s(literal -9 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) (fma.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y) #s(literal -9 binary64))))) |
(+.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) (fma.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y) #s(literal -9 binary64))) |
Compiled 26 317 to 1 656 computations (93.7% saved)
12 alts after pruning (2 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 371 | 2 | 373 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 1 | 2 |
| Done | 0 | 9 | 9 |
| Total | 372 | 12 | 384 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (-.f64 (/.f64 (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y)) y) #s(literal 3 binary64)) |
| ✓ | 99.9% | (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
| ✓ | 53.4% | (-.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y))) y) #s(literal 3 binary64)) |
| ✓ | 96.7% | (-.f64 (/.f64 x (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (sqrt.f64 y))) #s(literal 3 binary64)) |
| ✓ | 96.6% | (-.f64 (/.f64 x (*.f64 (*.f64 (sqrt.f64 y) y) (sqrt.f64 y))) #s(literal 3 binary64)) |
| ✓ | 96.7% | (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
| ✓ | 89.5% | (-.f64 (/.f64 x (sqrt.f64 (pow.f64 y #s(literal 4 binary64)))) #s(literal 3 binary64)) |
| ✓ | 44.5% | (-.f64 (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (*.f64 y y))) #s(literal 3 binary64)) |
| ✓ | 50.0% | #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) |
| ✓ | 52.2% | #s(approx (- (* (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) 3) (/.f64 (/.f64 x y) y)) |
| 75.9% | #s(approx (* (/ (- (pow (/ (sqrt x) y) 6) 27) (- (pow (/ (sqrt x) y) 8) (pow (+ (* (/ (/ x y) y) 3) 9) 2))) (- (pow (/ (sqrt x) y) 4) (+ (* (/ (/ x y) y) 3) 9))) (/.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -3 binary64) x) y) y)) | |
| 49.0% | #s(approx (* (/ (- (pow (/ (sqrt x) y) 6) 27) (- (pow (/ (sqrt x) y) 8) (pow (+ (* (/ (/ x y) y) 3) 9) 2))) (- (pow (/ (sqrt x) y) 4) (+ (* (/ (/ x y) y) 3) 9))) (/.f64 x (*.f64 y y))) |
Compiled 509 to 241 computations (52.7% saved)
| Inputs |
|---|
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) |
#s(approx (* (/ (- (pow (/ (sqrt x) y) 6) 27) (- (pow (/ (sqrt x) y) 8) (pow (+ (* (/ (/ x y) y) 3) 9) 2))) (- (pow (/ (sqrt x) y) 4) (+ (* (/ (/ x y) y) 3) 9))) (/.f64 x (*.f64 y y))) |
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
#s(approx (- (* (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) 3) (/.f64 (/.f64 x y) y)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
#s(approx (* (/ (- (pow (/ (sqrt x) y) 6) 27) (- (pow (/ (sqrt x) y) 8) (pow (+ (* (/ (/ x y) y) 3) 9) 2))) (- (pow (/ (sqrt x) y) 4) (+ (* (/ (/ x y) y) 3) 9))) (/.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -3 binary64) x) y) y)) |
(-.f64 (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (*.f64 y y))) #s(literal 3 binary64)) |
(-.f64 (/.f64 x (*.f64 (*.f64 (sqrt.f64 y) y) (sqrt.f64 y))) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y)) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y))) y) #s(literal 3 binary64)) |
(-.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 (/.f64 x y) (*.f64 y 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 x (sqrt.f64 (pow.f64 y #s(literal 4 binary64)))) #s(literal 3 binary64)) |
(-.f64 (/.f64 x (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (sqrt.f64 y))) #s(literal 3 binary64)) |
(-.f64 (/.f64 x (*.f64 (sqrt.f64 (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 y))) #s(literal 3 binary64)) |
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64)) #s(literal 27 binary64)) (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 8 binary64)) (pow.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))) |
| Outputs |
|---|
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
5 calls:
| 11.0ms | (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
| 5.0ms | y |
| 5.0ms | x |
| 4.0ms | (*.f64 y y) |
| 4.0ms | (/.f64 x (*.f64 y y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | (*.f64 y y) |
| 99.9% | 1 | (/.f64 x (*.f64 y y)) |
| 99.9% | 1 | (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
| 99.9% | 1 | x |
| 99.9% | 1 | y |
Compiled 17 to 17 computations (0% saved)
| Inputs |
|---|
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) |
#s(approx (* (/ (- (pow (/ (sqrt x) y) 6) 27) (- (pow (/ (sqrt x) y) 8) (pow (+ (* (/ (/ x y) y) 3) 9) 2))) (- (pow (/ (sqrt x) y) 4) (+ (* (/ (/ x y) y) 3) 9))) (/.f64 x (*.f64 y y))) |
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
#s(approx (- (* (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) 3) (/.f64 (/.f64 x y) y)) |
| Outputs |
|---|
#s(approx (- (* (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) 3) (/.f64 (/.f64 x y) y)) |
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
5 calls:
| 2.0ms | y |
| 2.0ms | x |
| 2.0ms | (*.f64 y y) |
| 2.0ms | (/.f64 x (*.f64 y y)) |
| 2.0ms | (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 2 | (*.f64 y y) |
| 98.5% | 2 | (/.f64 x (*.f64 y y)) |
| 98.5% | 2 | (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
| 96.7% | 1 | x |
| 99.9% | 2 | y |
Compiled 17 to 17 computations (0% saved)
| Inputs |
|---|
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) |
#s(approx (* (/ (- (pow (/ (sqrt x) y) 6) 27) (- (pow (/ (sqrt x) y) 8) (pow (+ (* (/ (/ x y) y) 3) 9) 2))) (- (pow (/ (sqrt x) y) 4) (+ (* (/ (/ x y) y) 3) 9))) (/.f64 x (*.f64 y y))) |
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
| Outputs |
|---|
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
5 calls:
| 22.0ms | (/.f64 x (*.f64 y y)) |
| 2.0ms | x |
| 2.0ms | y |
| 1.0ms | (*.f64 y y) |
| 1.0ms | (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.7% | 1 | x |
| 96.7% | 1 | (/.f64 x (*.f64 y y)) |
| 96.7% | 1 | (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
| 96.7% | 1 | (*.f64 y y) |
| 96.7% | 1 | y |
Compiled 17 to 17 computations (0% saved)
| Inputs |
|---|
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) |
#s(approx (* (/ (- (pow (/ (sqrt x) y) 6) 27) (- (pow (/ (sqrt x) y) 8) (pow (+ (* (/ (/ x y) y) 3) 9) 2))) (- (pow (/ (sqrt x) y) 4) (+ (* (/ (/ x y) y) 3) 9))) (/.f64 x (*.f64 y y))) |
| Outputs |
|---|
#s(approx (* (/ (- (pow (/ (sqrt x) y) 6) 27) (- (pow (/ (sqrt x) y) 8) (pow (+ (* (/ (/ x y) y) 3) 9) 2))) (- (pow (/ (sqrt x) y) 4) (+ (* (/ (/ x y) y) 3) 9))) (/.f64 x (*.f64 y y))) |
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) |
#s(approx (* (/ (- (pow (/ (sqrt x) y) 6) 27) (- (pow (/ (sqrt x) y) 8) (pow (+ (* (/ (/ x y) y) 3) 9) 2))) (- (pow (/ (sqrt x) y) 4) (+ (* (/ (/ x y) y) 3) 9))) (/.f64 x (*.f64 y y))) |
5 calls:
| 1.0ms | y |
| 1.0ms | x |
| 1.0ms | (*.f64 y y) |
| 1.0ms | (/.f64 x (*.f64 y y)) |
| 1.0ms | (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.2% | 2 | (*.f64 y y) |
| 96.0% | 3 | (/.f64 x (*.f64 y y)) |
| 96.0% | 3 | (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
| 70.8% | 3 | x |
| 85.2% | 2 | 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 | y |
| 1.0ms | x |
| 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 |
|---|---|---|
| 50.0% | 1 | x |
| 50.0% | 1 | (*.f64 y y) |
| 50.0% | 1 | y |
| 50.0% | 1 | (/.f64 x (*.f64 y y)) |
| 50.0% | 1 | (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
Compiled 17 to 17 computations (0% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 90.0ms | 9.393786393546434e-161 | 5.274886827892624e-160 |
| 86.0ms | 96× | 0 | valid |
Compiled 178 to 137 computations (23% saved)
ival-div: 83.0ms (98.6% of total)ival-mult: 1.0ms (1.2% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -2.999999999999971 | 2.638223712205762 |
| 0.0ms | -197974813184403.63 | -3.0000000000010942 |
Compiled 10 to 11 computations (-10% saved)
| 1× | egg-herbie |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 135 |
| 1 | 81 | 133 |
| 2 | 149 | 133 |
| 3 | 391 | 133 |
| 4 | 1403 | 133 |
| 5 | 6940 | 133 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(if (<=.f64 y #s(literal 8231155761024919/15829145694278690179872161345257420162248406342477557754500035589945422406818039498900249667919554879334250971265032917718487362195632077437922953926521162746662833417516744704 binary64)) #s(approx (- (* (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) 3) (/.f64 (/.f64 x y) y)) (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))) |
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
(if (<=.f64 (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #s(literal -100000000000000 binary64)) #s(approx (* (/ (- (pow (/ (sqrt x) y) 6) 27) (- (pow (/ (sqrt x) y) 8) (pow (+ (* (/ (/ x y) y) 3) 9) 2))) (- (pow (/ (sqrt x) y) 4) (+ (* (/ (/ x y) y) 3) 9))) (/.f64 x (*.f64 y y))) (if (<=.f64 (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #s(literal -2 binary64)) #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) #s(approx (* (/ (- (pow (/ (sqrt x) y) 6) 27) (- (pow (/ (sqrt x) y) 8) (pow (+ (* (/ (/ x y) y) 3) 9) 2))) (- (pow (/ (sqrt x) y) 4) (+ (* (/ (/ x y) y) 3) 9))) (/.f64 x (*.f64 y y))))) |
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) |
| Outputs |
|---|
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(if (<=.f64 y #s(literal 8231155761024919/15829145694278690179872161345257420162248406342477557754500035589945422406818039498900249667919554879334250971265032917718487362195632077437922953926521162746662833417516744704 binary64)) #s(approx (- (* (sqrt (/ x y)) (sqrt (/ (/ x y) (* y y)))) 3) (/.f64 (/.f64 x y) y)) (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))) |
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
(if (<=.f64 (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #s(literal -100000000000000 binary64)) #s(approx (* (/ (- (pow (/ (sqrt x) y) 6) 27) (- (pow (/ (sqrt x) y) 8) (pow (+ (* (/ (/ x y) y) 3) 9) 2))) (- (pow (/ (sqrt x) y) 4) (+ (* (/ (/ x y) y) 3) 9))) (/.f64 x (*.f64 y y))) (if (<=.f64 (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #s(literal -2 binary64)) #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) #s(approx (* (/ (- (pow (/ (sqrt x) y) 6) 27) (- (pow (/ (sqrt x) y) 8) (pow (+ (* (/ (/ x y) y) 3) 9) 2))) (- (pow (/ (sqrt x) y) 4) (+ (* (/ (/ x y) y) 3) 9))) (/.f64 x (*.f64 y y))))) |
(if (or (<=.f64 (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #s(literal -100000000000000 binary64)) (not (<=.f64 (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #s(literal -2 binary64)))) #s(approx (* (/ (- (pow (/ (sqrt x) y) 6) 27) (- (pow (/ (sqrt x) y) 8) (pow (+ (* (/ (/ x y) y) 3) 9) 2))) (- (pow (/ (sqrt x) y) 4) (+ (* (/ (/ x y) y) 3) 9))) (/.f64 x (*.f64 y y))) #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))) |
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 417 | 1584 |
| 1 | 1223 | 1494 |
| 2 | 4369 | 1467 |
| 0 | 8286 | 1399 |
| 0 | 49 | 130 |
| 1 | 115 | 112 |
| 2 | 374 | 112 |
| 3 | 1110 | 112 |
| 4 | 3482 | 112 |
| 0 | 5695 | 112 |
| 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 |
| 0 | 25 | 126 |
| 0 | 41 | 91 |
| 1 | 133 | 86 |
| 2 | 676 | 85 |
| 3 | 6401 | 85 |
| 0 | 8143 | 85 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 175 to 85 computations (51.4% saved)
Compiled 426 to 210 computations (50.7% saved)
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