
Time bar (total: 4.7s)
| 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)
| 822.0ms | 8 256× | 0 | valid |
ival-mult: 62.0ms (36.6% of total)ival-div: 55.0ms (32.5% of total)ival-sub: 38.0ms (22.4% of total)ival-true: 5.0ms (3% of total)exact: 5.0ms (3% of total)ival-assert: 3.0ms (1.8% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 39 | 0 | - | 3 | (2.540463702765094e-285 1.0360549486941934e-156) | (/.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 | 14 | 0 |
| ↳ | (*.f64 y y) | underflow | 63 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 14 | 3 |
| - | 0 | 239 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 14 | 0 | 3 |
| - | 0 | 0 | 239 |
| number | freq |
|---|---|
| 0 | 242 |
| 1 | 14 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 23.0ms | 512× | 0 | valid |
Compiled 47 to 22 computations (53.2% saved)
ival-mult: 4.0ms (36.8% of total)ival-div: 3.0ms (27.6% of total)ival-sub: 2.0ms (18.4% 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 |
|---|---|---|
| ▶ | 94.1% | (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
Compiled 7 to 6 computations (14.3% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (/.f64 x (*.f64 y y)) | |
| cost-diff | 0 | (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 18 |
| 0 | 9 | 18 |
| 1 | 15 | 18 |
| 2 | 32 | 18 |
| 3 | 58 | 18 |
| 4 | 80 | 18 |
| 5 | 93 | 18 |
| 6 | 101 | 18 |
| 0 | 101 | 18 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
(/.f64 x (*.f64 y y)) |
x |
(*.f64 y y) |
y |
#s(literal 3 binary64) |
| Outputs |
|---|
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
(/.f64 x (*.f64 y y)) |
x |
(*.f64 y y) |
y |
#s(literal 3 binary64) |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) | |
| accuracy | 0.0 | (*.f64 y y) | |
| accuracy | 8.805262259844492 | (/.f64 x (*.f64 y y)) |
| 16.0ms | 256× | 0 | valid |
Compiled 20 to 8 computations (60% saved)
ival-div: 2.0ms (38.5% of total)ival-mult: 2.0ms (38.5% of total)ival-sub: 1.0ms (19.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
(/.f64 x (*.f64 y y)) |
(*.f64 y y) |
| Outputs |
|---|
-3 |
(- (/ x (pow y 2)) 3) |
(/ x (pow y 2)) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(pow y 2) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | ((- (/ x (* y y)) 3) (/ x (* y y)) (* y y)) |
| 1.0ms | y | @ | 0 | ((- (/ x (* y y)) 3) (/ x (* y y)) (* y y)) |
| 1.0ms | x | @ | 0 | ((- (/ x (* y y)) 3) (/ x (* y y)) (* y y)) |
| 1.0ms | x | @ | -inf | ((- (/ x (* y y)) 3) (/ x (* y y)) (* y y)) |
| 1.0ms | y | @ | inf | ((- (/ x (* y y)) 3) (/ x (* y y)) (* y y)) |
| 1× | 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)
6 alts after pruning (5 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 104 | 5 | 109 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 104 | 6 | 110 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
| ▶ | 69.9% | (-.f64 (/.f64 (sqrt.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) y)) (sqrt.f64 y)) #s(literal 3 binary64)) |
| ✓ | 94.1% | (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
| ▶ | 85.9% | (-.f64 (/.f64 x (sqrt.f64 (pow.f64 y #s(literal 4 binary64)))) #s(literal 3 binary64)) |
| ▶ | 64.5% | (-.f64 (sqrt.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))))) #s(literal 3 binary64)) |
| ▶ | 51.5% | #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) |
Compiled 101 to 90 computations (10.9% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) y) | |
| cost-diff | 0 | (sqrt.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) y)) | |
| cost-diff | 0 | (/.f64 (sqrt.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) y)) (sqrt.f64 y)) | |
| cost-diff | 0 | (-.f64 (/.f64 (sqrt.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) y)) (sqrt.f64 y)) #s(literal 3 binary64)) | |
| cost-diff | 0 | (/.f64 x (pow.f64 y #s(literal 4 binary64))) | |
| cost-diff | 0 | (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) | |
| cost-diff | 0 | (sqrt.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))))) | |
| cost-diff | 0 | (-.f64 (sqrt.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))))) #s(literal 3 binary64)) | |
| 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 | #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: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 143 |
| 0 | 44 | 143 |
| 1 | 54 | 143 |
| 2 | 86 | 143 |
| 3 | 156 | 143 |
| 4 | 324 | 143 |
| 5 | 702 | 143 |
| 6 | 1162 | 143 |
| 7 | 1212 | 143 |
| 8 | 1216 | 143 |
| 0 | 1216 | 143 |
| 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 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) |
(-.f64 (sqrt.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))))) #s(literal 3 binary64)) |
(sqrt.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))))) |
(*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) |
x |
(/.f64 x (pow.f64 y #s(literal 4 binary64))) |
(pow.f64 y #s(literal 4 binary64)) |
y |
#s(literal 4 binary64) |
#s(literal 3 binary64) |
(-.f64 (/.f64 (sqrt.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) y)) (sqrt.f64 y)) #s(literal 3 binary64)) |
(/.f64 (sqrt.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) y)) (sqrt.f64 y)) |
(sqrt.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) y)) |
(/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) y) |
(pow.f64 (/.f64 x y) #s(literal 2 binary64)) |
(/.f64 x y) |
x |
y |
#s(literal 2 binary64) |
(sqrt.f64 y) |
#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 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) |
(-.f64 (sqrt.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))))) #s(literal 3 binary64)) |
(-.f64 (sqrt.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x)) #s(literal 3 binary64)) |
(sqrt.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))))) |
(sqrt.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x)) |
(*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) |
(*.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x) |
x |
(/.f64 x (pow.f64 y #s(literal 4 binary64))) |
(pow.f64 y #s(literal 4 binary64)) |
y |
#s(literal 4 binary64) |
#s(literal 3 binary64) |
(-.f64 (/.f64 (sqrt.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) y)) (sqrt.f64 y)) #s(literal 3 binary64)) |
(/.f64 (sqrt.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) y)) (sqrt.f64 y)) |
(sqrt.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) y)) |
(/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) y) |
(pow.f64 (/.f64 x y) #s(literal 2 binary64)) |
(/.f64 x y) |
x |
y |
#s(literal 2 binary64) |
(sqrt.f64 y) |
#s(literal 3 binary64) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.16015625 | (/.f64 (sqrt.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) y)) (sqrt.f64 y)) | |
| accuracy | 0.24742128907376806 | (pow.f64 (/.f64 x y) #s(literal 2 binary64)) | |
| accuracy | 0.3440462992593145 | (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) y) | |
| accuracy | 17.551444509709075 | (sqrt.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) y)) | |
| accuracy | 0.0 | (-.f64 (sqrt.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))))) #s(literal 3 binary64)) | |
| accuracy | 3.4818475660814197 | (/.f64 x (pow.f64 y #s(literal 4 binary64))) | |
| accuracy | 4.223272247798421 | (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) | |
| accuracy | 15.733028356576787 | (sqrt.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))))) | |
| accuracy | 0.0 | (pow.f64 y #s(literal 4 binary64)) | |
| accuracy | 0.0 | (-.f64 (/.f64 x (sqrt.f64 (pow.f64 y #s(literal 4 binary64)))) #s(literal 3 binary64)) | |
| accuracy | 8.805262259844492 | (/.f64 x (sqrt.f64 (pow.f64 y #s(literal 4 binary64)))) | |
| accuracy | 15.309460634151478 | (sqrt.f64 (pow.f64 y #s(literal 4 binary64))) | |
| accuracy | 31.02546621295857 | #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) | |
| accuracy | 0.0 | (/.f64 x y) | |
| accuracy | 0.0 | (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) | |
| accuracy | 0.10546875 | (/.f64 (/.f64 x y) y) |
| 72.0ms | 256× | 0 | valid |
Compiled 143 to 28 computations (80.4% saved)
ival-div: 30.0ms (58.4% of total)ival-sub: 6.0ms (11.7% of total)ival-sqrt: 6.0ms (11.7% of total)ival-mult: 3.0ms (5.8% of total)ival-pow: 3.0ms (5.8% of total)ival-pow2: 2.0ms (3.9% of total)exact: 1.0ms (1.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 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 (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)) |
(-.f64 (sqrt.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))))) #s(literal 3 binary64)) |
(sqrt.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))))) |
(*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) |
(/.f64 x (pow.f64 y #s(literal 4 binary64))) |
(-.f64 (/.f64 (sqrt.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) y)) (sqrt.f64 y)) #s(literal 3 binary64)) |
(/.f64 (sqrt.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) y)) (sqrt.f64 y)) |
(sqrt.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) y)) |
(/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) y) |
(pow.f64 (/.f64 x y) #s(literal 2 binary64)) |
| Outputs |
|---|
-3 |
(- (/ x (pow y 2)) 3) |
(/ x (pow y 2)) |
(/ x y) |
(/ (pow x 2) (pow y 4)) |
(/ x (pow y 4)) |
(* x (sqrt (/ 1 (pow y 3)))) |
(/ (pow x 2) (pow y 3)) |
(/ (pow x 2) (pow y 2)) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(* -1 (/ x (pow y 2))) |
(* -1 (* x (+ (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(* -1 (* x (sqrt (/ 1 (pow y 3))))) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(pow y 2) |
(pow y 4) |
(* -1 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | x | @ | inf | ((- (/ (/ x y) y) 3) (/ (/ x y) y) (/ x y) (- (/ x (* y y)) 3) (- (/ x (sqrt (pow y 4))) 3) (/ x (sqrt (pow y 4))) (sqrt (pow y 4)) (pow y 4) (- (sqrt (* x (/ x (pow y 4)))) 3) (sqrt (* x (/ x (pow y 4)))) (* x (/ x (pow y 4))) (/ x (pow y 4)) (- (/ (sqrt (/ (pow (/ x y) 2) y)) (sqrt y)) 3) (/ (sqrt (/ (pow (/ x y) 2) y)) (sqrt y)) (sqrt (/ (pow (/ x y) 2) y)) (/ (pow (/ x y) 2) y) (pow (/ x y) 2)) |
| 4.0ms | x | @ | 0 | ((- (/ (/ x y) y) 3) (/ (/ x y) y) (/ x y) (- (/ x (* y y)) 3) (- (/ x (sqrt (pow y 4))) 3) (/ x (sqrt (pow y 4))) (sqrt (pow y 4)) (pow y 4) (- (sqrt (* x (/ x (pow y 4)))) 3) (sqrt (* x (/ x (pow y 4)))) (* x (/ x (pow y 4))) (/ x (pow y 4)) (- (/ (sqrt (/ (pow (/ x y) 2) y)) (sqrt y)) 3) (/ (sqrt (/ (pow (/ x y) 2) y)) (sqrt y)) (sqrt (/ (pow (/ x y) 2) y)) (/ (pow (/ x y) 2) y) (pow (/ x y) 2)) |
| 4.0ms | y | @ | 0 | ((- (/ (/ x y) y) 3) (/ (/ x y) y) (/ x y) (- (/ x (* y y)) 3) (- (/ x (sqrt (pow y 4))) 3) (/ x (sqrt (pow y 4))) (sqrt (pow y 4)) (pow y 4) (- (sqrt (* x (/ x (pow y 4)))) 3) (sqrt (* x (/ x (pow y 4)))) (* x (/ x (pow y 4))) (/ x (pow y 4)) (- (/ (sqrt (/ (pow (/ x y) 2) y)) (sqrt y)) 3) (/ (sqrt (/ (pow (/ x y) 2) y)) (sqrt y)) (sqrt (/ (pow (/ x y) 2) y)) (/ (pow (/ x y) 2) y) (pow (/ x y) 2)) |
| 4.0ms | x | @ | -inf | ((- (/ (/ x y) y) 3) (/ (/ x y) y) (/ x y) (- (/ x (* y y)) 3) (- (/ x (sqrt (pow y 4))) 3) (/ x (sqrt (pow y 4))) (sqrt (pow y 4)) (pow y 4) (- (sqrt (* x (/ x (pow y 4)))) 3) (sqrt (* x (/ x (pow y 4)))) (* x (/ x (pow y 4))) (/ x (pow y 4)) (- (/ (sqrt (/ (pow (/ x y) 2) y)) (sqrt y)) 3) (/ (sqrt (/ (pow (/ x y) 2) y)) (sqrt y)) (sqrt (/ (pow (/ x y) 2) y)) (/ (pow (/ x y) 2) y) (pow (/ x y) 2)) |
| 3.0ms | y | @ | -inf | ((- (/ (/ x y) y) 3) (/ (/ x y) y) (/ x y) (- (/ x (* y y)) 3) (- (/ x (sqrt (pow y 4))) 3) (/ x (sqrt (pow y 4))) (sqrt (pow y 4)) (pow y 4) (- (sqrt (* x (/ x (pow y 4)))) 3) (sqrt (* x (/ x (pow y 4)))) (* x (/ x (pow y 4))) (/ x (pow y 4)) (- (/ (sqrt (/ (pow (/ x y) 2) y)) (sqrt y)) 3) (/ (sqrt (/ (pow (/ x y) 2) y)) (sqrt y)) (sqrt (/ (pow (/ x y) 2) y)) (/ (pow (/ x y) 2) y) (pow (/ x y) 2)) |
| 1× | egg-herbie |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 117 |
| 1 | 96 | 117 |
| 2 | 295 | 112 |
| 3 | 929 | 112 |
| 4 | 4129 | 112 |
| 5 | 7902 | 112 |
| 0 | 8026 | 112 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-3 |
(- (/ x (pow y 2)) 3) |
(/ x (pow y 2)) |
(/ x y) |
(/ (pow x 2) (pow y 4)) |
(/ x (pow y 4)) |
(* x (sqrt (/ 1 (pow y 3)))) |
(/ (pow x 2) (pow y 3)) |
(/ (pow x 2) (pow y 2)) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(* -1 (/ x (pow y 2))) |
(* -1 (* x (+ (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(* -1 (* x (sqrt (/ 1 (pow y 3))))) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(pow y 2) |
(pow y 4) |
(* -1 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) |
| 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) |
(/ (pow x 2) (pow y 4)) |
(*.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x) |
(/ x (pow y 4)) |
(/.f64 x (pow.f64 y #s(literal 4 binary64))) |
(* x (sqrt (/ 1 (pow y 3)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) x) |
(/ (pow x 2) (pow y 3)) |
(*.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) x) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 (/.f64 x y) y) x) |
(* 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 (neg.f64 x) (-.f64 (/.f64 #s(literal 3 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) |
(* -1 (/ x (pow y 2))) |
(/.f64 x (*.f64 (neg.f64 y) y)) |
(* -1 (* x (+ (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(-.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y)) |
(* -1 (* x (sqrt (/ 1 (pow y 3))))) |
(*.f64 (neg.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (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)) |
(* -1 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) x) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 119 |
| 0 | 44 | 98 |
| 1 | 151 | 96 |
| 2 | 740 | 95 |
| 3 | 7353 | 95 |
| 0 | 8336 | 95 |
| 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 (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)) |
(-.f64 (sqrt.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))))) #s(literal 3 binary64)) |
(sqrt.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))))) |
(*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) |
(/.f64 x (pow.f64 y #s(literal 4 binary64))) |
(-.f64 (/.f64 (sqrt.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) y)) (sqrt.f64 y)) #s(literal 3 binary64)) |
(/.f64 (sqrt.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) y)) (sqrt.f64 y)) |
(sqrt.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) y)) |
(/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) y) |
(pow.f64 (/.f64 x y) #s(literal 2 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x) #s(literal 9 binary64)) (+.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) #s(literal 27 binary64))) (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x (-.f64 #s(literal 9 binary64) (*.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))))) |
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(+.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 (/.f64 (-.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x) #s(literal 9 binary64)) (-.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x) #s(literal 9 binary64))) (-.f64 (/.f64 (/.f64 x y) 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 (*.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x) (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)) (-.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)) (*.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x)) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 4 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) (/.f64 x (+.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)))) (*.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) (/.f64 x (+.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))))) (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) (/.f64 x (+.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 (/.f64 x y) y) #s(literal 3 binary64)) (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x (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 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64))))) (*.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))) (/.f64 #s(literal 27 binary64) (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))))) (+.f64 (/.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))) (/.f64 #s(literal 27 binary64) (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) (/.f64 x (+.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 (/.f64 x (pow.f64 y #s(literal 4 binary64))) (/.f64 x (+.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)))) (*.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) (/.f64 x (+.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 (/.f64 x (pow.f64 y #s(literal 4 binary64))) (/.f64 x (+.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 (/.f64 x y) y) #s(literal 3 binary64)) (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x (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 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x (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 (/.f64 x y) y) #s(literal 3 binary64)) (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x (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 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))) (fma.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))) (/.f64 #s(literal 27 binary64) (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))) (*.f64 (/.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))) (/.f64 #s(literal 27 binary64) (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x) #s(literal 9 binary64)))) (neg.f64 (+.f64 (/.f64 (/.f64 (neg.f64 x) y) y) #s(literal -3 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) #s(literal 27 binary64)))) (neg.f64 (neg.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x (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)) (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))) (*.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64))) #s(literal 27 binary64))) (*.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64))) (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x) (+.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))) (*.f64 (+.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) #s(literal 9 binary64))) (*.f64 (+.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) (+.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 4 binary64)) #s(literal 81 binary64)) (*.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x #s(literal 9 binary64)) (+.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 9 binary64)) #s(literal 19683 binary64)) (*.f64 (+.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 6 binary64)) (fma.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) #s(literal 27 binary64) #s(literal 729 binary64))) (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 6 binary64)) #s(literal 729 binary64)) (*.f64 (+.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) (*.f64 x #s(literal 9 binary64)) #s(literal 81 binary64)) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 4 binary64))) (+.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 6 binary64)) #s(literal 729 binary64)) (*.f64 (+.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) #s(literal 27 binary64)) (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64))))) |
(/.f64 (-.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x) #s(literal 9 binary64)) (+.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x) #s(literal 9 binary64))) (+.f64 (/.f64 (/.f64 (neg.f64 x) y) y) #s(literal -3 binary64))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) #s(literal 27 binary64))) (neg.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) #s(literal 27 binary64)) (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x) #s(literal 9 binary64))) (+.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) #s(literal 27 binary64))) (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64))))) |
(neg.f64 (/.f64 (-.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x) #s(literal 9 binary64)) (+.f64 (/.f64 (/.f64 (neg.f64 x) y) y) #s(literal -3 binary64)))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) #s(literal 27 binary64)) (neg.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))))) |
(-.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) (/.f64 x (+.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 (/.f64 x y) y) #s(literal 3 binary64)) (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)))) (/.f64 #s(literal 27 binary64) (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x (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 (pow.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) y) #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64))) (/.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) y) #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 y)) (/.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 y))) |
(*.f64 (neg.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64))) (fabs.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64)))) |
(*.f64 (fabs.f64 (/.f64 (/.f64 (sqrt.f64 x) y) y)) (fabs.f64 (sqrt.f64 x))) |
(*.f64 (fabs.f64 (sqrt.f64 x)) (fabs.f64 (/.f64 (/.f64 (sqrt.f64 x) y) y))) |
(*.f64 (sqrt.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 y y))) (sqrt.f64 (/.f64 (/.f64 (sqrt.f64 x) y) y))) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 (neg.f64 x) y) y)) (sqrt.f64 (/.f64 (/.f64 (neg.f64 x) y) y))) |
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) (sqrt.f64 x)))) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 x y) y)) (sqrt.f64 (/.f64 (/.f64 x y) y))) |
(*.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 y y)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (/.f64 (sqrt.f64 x) y) y) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 (/.f64 (neg.f64 x) y) y) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (/.f64 (neg.f64 x) y) y) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) (sqrt.f64 x)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) y) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) y) #s(literal 1/4 binary64)) (sqrt.f64 y))) |
(*.f64 (sqrt.f64 (/.f64 x y)) (/.f64 (sqrt.f64 (/.f64 x y)) y)) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 x) y) y) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (/.f64 (/.f64 (sqrt.f64 x) y) y)) |
(pow.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x) #s(literal 1/2 binary64)) |
(/.f64 (*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 x)) (sqrt.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))))) |
(/.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))))) |
(/.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 (fabs.f64 (/.f64 (neg.f64 x) (pow.f64 y #s(literal 3/2 binary64)))) (fabs.f64 (neg.f64 (sqrt.f64 y)))) |
(/.f64 (fabs.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64)))) (fabs.f64 (sqrt.f64 y))) |
(/.f64 (sqrt.f64 (/.f64 (/.f64 (*.f64 (neg.f64 x) x) (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 y))) (sqrt.f64 (neg.f64 (sqrt.f64 y)))) |
(/.f64 (sqrt.f64 (/.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) y) (sqrt.f64 y))) (sqrt.f64 (sqrt.f64 y))) |
(/.f64 (sqrt.f64 (/.f64 (*.f64 (neg.f64 x) x) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (neg.f64 y))) |
(/.f64 (sqrt.f64 (*.f64 (neg.f64 x) x)) (sqrt.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))))) |
(/.f64 (sqrt.f64 (*.f64 (/.f64 (neg.f64 x) y) x)) (sqrt.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)))) |
(/.f64 (sqrt.f64 (*.f64 (/.f64 x y) x)) (sqrt.f64 (pow.f64 y #s(literal 3 binary64)))) |
(/.f64 (sqrt.f64 (neg.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 y))) |
(/.f64 (sqrt.f64 (neg.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (sqrt.f64 (*.f64 (neg.f64 y) y))) |
(/.f64 (/.f64 (neg.f64 x) (pow.f64 y #s(literal 3/2 binary64))) (neg.f64 (sqrt.f64 y))) |
(/.f64 (/.f64 (neg.f64 x) y) (neg.f64 y)) |
(/.f64 (neg.f64 x) (*.f64 (neg.f64 y) y)) |
(/.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) (sqrt.f64 y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x (*.f64 y y)) |
(neg.f64 (/.f64 (/.f64 (neg.f64 x) y) y)) |
(sqrt.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x)) |
(fabs.f64 (/.f64 (/.f64 (neg.f64 x) y) y)) |
(fabs.f64 (/.f64 (/.f64 x y) y)) |
(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 (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (sqrt.f64 (neg.f64 y))) |
(*.f64 (sqrt.f64 (*.f64 (neg.f64 y) y)) (sqrt.f64 (*.f64 (neg.f64 y) y))) |
(*.f64 (pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 y)) |
(*.f64 (pow.f64 (*.f64 (neg.f64 y) y) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 y) y) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (neg.f64 y))) |
(*.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)))) |
(*.f64 (sqrt.f64 (neg.f64 y)) (pow.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (neg.f64 y) (neg.f64 y)) |
(*.f64 y y) |
(*.f64 (sqrt.f64 y) (sqrt.f64 (pow.f64 y #s(literal 3 binary64)))) |
(*.f64 (sqrt.f64 y) (pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64))) |
(pow.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (neg.f64 y) #s(literal 2 binary64)) |
(pow.f64 y #s(literal 2 binary64)) |
(pow.f64 (*.f64 y y) #s(literal 1 binary64)) |
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(neg.f64 (*.f64 (neg.f64 y) y)) |
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(*.f64 (sqrt.f64 (/.f64 x y)) (*.f64 (sqrt.f64 (/.f64 x y)) (/.f64 (/.f64 x y) y))) |
(*.f64 (/.f64 (neg.f64 x) (pow.f64 y #s(literal 3/2 binary64))) (/.f64 (neg.f64 x) (pow.f64 y #s(literal 3/2 binary64)))) |
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (/.f64 (neg.f64 x) y) y)) |
(*.f64 (/.f64 (/.f64 x y) y) (/.f64 x y)) |
(*.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) (/.f64 x (pow.f64 y #s(literal 3/2 binary64)))) |
(*.f64 (/.f64 x y) (/.f64 (/.f64 x y) y)) |
(pow.f64 (*.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) y) (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)) |
(pow.f64 (/.f64 (neg.f64 x) (pow.f64 y #s(literal 3/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) y) #s(literal 1 binary64)) |
(/.f64 (*.f64 (sqrt.f64 (neg.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (/.f64 x (pow.f64 y #s(literal 3/2 binary64)))) (sqrt.f64 (neg.f64 y))) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) (pow.f64 y #s(literal 3/2 binary64)))) (sqrt.f64 y)) |
(/.f64 (*.f64 (/.f64 x y) (/.f64 (neg.f64 x) (pow.f64 y #s(literal 3/2 binary64)))) (neg.f64 (sqrt.f64 y))) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) (/.f64 x (pow.f64 y #s(literal 3/2 binary64)))) (neg.f64 (sqrt.f64 y))) |
(/.f64 (*.f64 (/.f64 x y) (/.f64 x (pow.f64 y #s(literal 3/2 binary64)))) (sqrt.f64 y)) |
(/.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) (sqrt.f64 (neg.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) (sqrt.f64 (neg.f64 y))) |
(/.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) (/.f64 (neg.f64 x) y)) (neg.f64 (sqrt.f64 y))) |
(/.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) (/.f64 x y)) (sqrt.f64 y)) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) (pow.f64 y #s(literal 3/2 binary64))) (/.f64 (neg.f64 x) y)) (sqrt.f64 y)) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) (pow.f64 y #s(literal 3/2 binary64))) (/.f64 x y)) (neg.f64 (sqrt.f64 y))) |
(/.f64 (*.f64 (neg.f64 x) x) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) x) (*.f64 (neg.f64 y) y)) |
(/.f64 (*.f64 (/.f64 x y) x) (*.f64 y y)) |
(/.f64 (*.f64 x x) (pow.f64 y #s(literal 3 binary64))) |
(/.f64 (neg.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (neg.f64 y)) |
(/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) y) |
(neg.f64 (*.f64 (/.f64 (/.f64 (neg.f64 x) y) y) (/.f64 x y))) |
(neg.f64 (/.f64 (*.f64 (neg.f64 x) x) (pow.f64 y #s(literal 3 binary64)))) |
(sqrt.f64 (*.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) y) (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64)))) #s(literal 2 binary64))) |
(exp.f64 (log.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) y))) |
(+.f64 (cosh.f64 (log.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) y))) (sinh.f64 (log.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) y)))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64)))) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64)))) #s(literal 2 binary64)))) |
(+.f64 (/.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) y) (/.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) y)) |
(*.f64 (*.f64 (/.f64 x y) (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y))) |
(*.f64 (pow.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (pow.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (/.f64 x y)) (*.f64 (sqrt.f64 (/.f64 x y)) (/.f64 x y))) |
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) y)) |
(*.f64 (neg.f64 x) (/.f64 (/.f64 (neg.f64 x) y) y)) |
(*.f64 (/.f64 (/.f64 x y) y) x) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(*.f64 x (/.f64 (/.f64 x y) y)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (/.f64 x y))) |
(pow.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(pow.f64 (/.f64 (neg.f64 x) y) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 x y) #s(literal 2 binary64)) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (cosh.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (-.f64 (*.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) (*.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))))) |
(/.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 y) y)) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) x) (neg.f64 y)) |
(/.f64 (*.f64 (/.f64 x y) x) y) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))) |
(neg.f64 (*.f64 x (/.f64 (/.f64 (neg.f64 x) y) y))) |
(neg.f64 (*.f64 (/.f64 (/.f64 (neg.f64 x) y) y) x)) |
(neg.f64 (neg.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) |
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (log.f64 (/.f64 x y))) (cosh.f64 (log.f64 (/.f64 x y)))) (cosh.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) |
(sqrt.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) |
(fabs.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 binary64))) |
(exp.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))) (sinh.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64)))) |
(+.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (cosh.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) |
(+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) |
Compiled 7 424 to 1 744 computations (76.5% saved)
7 alts after pruning (4 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 419 | 4 | 423 |
| Fresh | 0 | 0 | 0 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 422 | 7 | 429 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (-.f64 (/.f64 (/.f64 (/.f64 (/.f64 x y) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64))) (sqrt.f64 y)) #s(literal 3 binary64)) |
| ✓ | 99.9% | (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
| ✓ | 94.1% | (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
| ▶ | 45.0% | (-.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 x) y) y) (sqrt.f64 x)) #s(literal 3 binary64)) |
| ▶ | 55.0% | (-.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (/.f64 (sqrt.f64 (/.f64 x y)) y)) #s(literal 3 binary64)) |
| ▶ | 93.6% | #s(approx (- (/ (/ x y) y) 3) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 3 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y y))))) |
| ✓ | 51.5% | #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) |
Compiled 83 to 62 computations (25.3% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 (/.f64 (/.f64 (/.f64 (/.f64 x y) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64))) (sqrt.f64 y)) #s(literal 3 binary64)) | |
| cost-diff | 2 | (/.f64 (/.f64 x y) (pow.f64 y #s(literal 1/4 binary64))) | |
| cost-diff | 3 | (/.f64 (/.f64 (/.f64 (/.f64 x y) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64))) (sqrt.f64 y)) | |
| cost-diff | 4 | (/.f64 (/.f64 (/.f64 x y) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64))) | |
| cost-diff | 0 | (/.f64 (sqrt.f64 x) y) | |
| cost-diff | 0 | (/.f64 (/.f64 (sqrt.f64 x) y) y) | |
| cost-diff | 0 | (-.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 x) y) y) (sqrt.f64 x)) #s(literal 3 binary64)) | |
| cost-diff | 4 | (*.f64 (/.f64 (/.f64 (sqrt.f64 x) y) y) (sqrt.f64 x)) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (sqrt.f64 (/.f64 x y)) | |
| cost-diff | 0 | (-.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (/.f64 (sqrt.f64 (/.f64 x y)) y)) #s(literal 3 binary64)) | |
| cost-diff | 6 | (*.f64 (sqrt.f64 (/.f64 x y)) (/.f64 (sqrt.f64 (/.f64 x y)) y)) | |
| cost-diff | 0 | (-.f64 (/.f64 #s(literal 3 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y y))) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 3 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) | |
| cost-diff | 0 | #s(approx (- (/ (/ x y) y) 3) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 3 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y y))))) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 193 |
| 0 | 53 | 191 |
| 1 | 78 | 151 |
| 2 | 137 | 148 |
| 3 | 290 | 147 |
| 4 | 1001 | 147 |
| 5 | 4114 | 147 |
| 6 | 5680 | 147 |
| 7 | 5932 | 147 |
| 8 | 5957 | 147 |
| 9 | 5960 | 147 |
| 10 | 5960 | 147 |
| 11 | 6401 | 147 |
| 12 | 6449 | 147 |
| 13 | 6449 | 147 |
| 14 | 6597 | 147 |
| 15 | 6597 | 147 |
| 0 | 8094 | 147 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (/ (/ x y) y) 3) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 3 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y y))))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 3 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) |
(neg.f64 x) |
x |
(-.f64 (/.f64 #s(literal 3 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(/.f64 #s(literal 3 binary64) x) |
#s(literal 3 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
#s(literal 1 binary64) |
(*.f64 y y) |
y |
(-.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (/.f64 (sqrt.f64 (/.f64 x y)) y)) #s(literal 3 binary64)) |
(*.f64 (sqrt.f64 (/.f64 x y)) (/.f64 (sqrt.f64 (/.f64 x y)) y)) |
(sqrt.f64 (/.f64 x y)) |
(/.f64 x y) |
x |
y |
(/.f64 (sqrt.f64 (/.f64 x y)) y) |
#s(literal 3 binary64) |
(-.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 x) y) y) (sqrt.f64 x)) #s(literal 3 binary64)) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 x) y) y) (sqrt.f64 x)) |
(/.f64 (/.f64 (sqrt.f64 x) y) y) |
(/.f64 (sqrt.f64 x) y) |
(sqrt.f64 x) |
x |
y |
#s(literal 3 binary64) |
(-.f64 (/.f64 (/.f64 (/.f64 (/.f64 x y) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64))) (sqrt.f64 y)) #s(literal 3 binary64)) |
(/.f64 (/.f64 (/.f64 (/.f64 x y) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64))) (sqrt.f64 y)) |
(/.f64 (/.f64 (/.f64 x y) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64))) |
(/.f64 (/.f64 x y) (pow.f64 y #s(literal 1/4 binary64))) |
(/.f64 x y) |
x |
y |
(pow.f64 y #s(literal 1/4 binary64)) |
#s(literal 1/4 binary64) |
(sqrt.f64 y) |
#s(literal 3 binary64) |
| Outputs |
|---|
#s(approx (- (/ (/ x y) y) 3) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 3 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y y))))) |
#s(approx (- (/ (/ x y) y) 3) (*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (neg.f64 x))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 3 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) |
(*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (neg.f64 x)) |
(neg.f64 x) |
x |
(-.f64 (/.f64 #s(literal 3 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(/.f64 #s(literal 3 binary64) x) |
#s(literal 3 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
#s(literal 1 binary64) |
(*.f64 y y) |
y |
(-.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (/.f64 (sqrt.f64 (/.f64 x y)) y)) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(*.f64 (sqrt.f64 (/.f64 x y)) (/.f64 (sqrt.f64 (/.f64 x y)) y)) |
(/.f64 (/.f64 x y) y) |
(sqrt.f64 (/.f64 x y)) |
(/.f64 x y) |
x |
y |
(/.f64 (sqrt.f64 (/.f64 x y)) y) |
(/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/2 binary64))) |
#s(literal 3 binary64) |
(-.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 x) y) y) (sqrt.f64 x)) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 x) y) y) (sqrt.f64 x)) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 (sqrt.f64 x) y) y) |
(/.f64 (sqrt.f64 x) y) |
(sqrt.f64 x) |
x |
y |
#s(literal 3 binary64) |
(-.f64 (/.f64 (/.f64 (/.f64 (/.f64 x y) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64))) (sqrt.f64 y)) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(/.f64 (/.f64 (/.f64 (/.f64 x y) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64))) (sqrt.f64 y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 (/.f64 x y) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64))) |
(/.f64 x (pow.f64 y #s(literal 3/2 binary64))) |
(/.f64 (/.f64 x y) (pow.f64 y #s(literal 1/4 binary64))) |
(/.f64 x (pow.f64 y #s(literal 5/4 binary64))) |
(/.f64 x y) |
x |
y |
(pow.f64 y #s(literal 1/4 binary64)) |
#s(literal 1/4 binary64) |
(sqrt.f64 y) |
#s(literal 3 binary64) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (sqrt.f64 y) | |
| accuracy | 0.0703125 | (/.f64 (/.f64 (/.f64 (/.f64 x y) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64))) (sqrt.f64 y)) | |
| accuracy | 0.1015625 | (/.f64 (/.f64 x y) (pow.f64 y #s(literal 1/4 binary64))) | |
| accuracy | 0.12728500976844204 | (/.f64 (/.f64 (/.f64 x y) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64))) | |
| accuracy | 0.0 | (sqrt.f64 x) | |
| accuracy | 0.0546875 | (/.f64 (/.f64 (sqrt.f64 x) y) y) | |
| accuracy | 0.125 | (/.f64 (sqrt.f64 x) y) | |
| accuracy | 2.8424788681028472 | (*.f64 (/.f64 (/.f64 (sqrt.f64 x) y) y) (sqrt.f64 x)) | |
| accuracy | 0.0 | (-.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (/.f64 (sqrt.f64 (/.f64 x y)) y)) #s(literal 3 binary64)) | |
| accuracy | 0.07421875 | (/.f64 (sqrt.f64 (/.f64 x y)) y) | |
| accuracy | 0.0859375 | (*.f64 (sqrt.f64 (/.f64 x y)) (/.f64 (sqrt.f64 (/.f64 x y)) y)) | |
| accuracy | 6.397826945982573 | (sqrt.f64 (/.f64 x y)) | |
| accuracy | 0.0 | (neg.f64 x) | |
| accuracy | 0.0 | #s(approx (- (/ (/ x y) y) 3) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 3 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y y))))) | |
| accuracy | 0.20090980181410345 | (/.f64 #s(literal 1 binary64) (*.f64 y y)) | |
| accuracy | 2.1418231905981724 | (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 3 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) |
| 72.0ms | 119× | 0 | valid |
| 30.0ms | 137× | 0 | invalid |
Compiled 182 to 31 computations (83% saved)
ival-div: 16.0ms (40.5% of total)ival-sub: 6.0ms (15.2% of total)ival-pow: 6.0ms (15.2% of total)ival-mult: 5.0ms (12.7% of total)ival-sqrt: 5.0ms (12.7% of total)ival-neg: 1.0ms (2.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (- (/ (/ x y) y) 3) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 3 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y y))))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 3 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) |
(neg.f64 x) |
(-.f64 (/.f64 #s(literal 3 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(*.f64 (sqrt.f64 (/.f64 x y)) (/.f64 (sqrt.f64 (/.f64 x y)) y)) |
(-.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (/.f64 (sqrt.f64 (/.f64 x y)) y)) #s(literal 3 binary64)) |
(sqrt.f64 (/.f64 x y)) |
(/.f64 x y) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 x) y) y) (sqrt.f64 x)) |
(-.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 x) y) y) (sqrt.f64 x)) #s(literal 3 binary64)) |
(/.f64 (/.f64 (sqrt.f64 x) y) y) |
(/.f64 (sqrt.f64 x) y) |
(/.f64 (/.f64 (/.f64 x y) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64))) |
(/.f64 (/.f64 (/.f64 (/.f64 x y) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64))) (sqrt.f64 y)) |
(/.f64 (/.f64 x y) (pow.f64 y #s(literal 1/4 binary64))) |
(-.f64 (/.f64 (/.f64 (/.f64 (/.f64 x y) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64))) (sqrt.f64 y)) #s(literal 3 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/.f64 (sqrt.f64 (/.f64 x y)) y) |
(sqrt.f64 x) |
(sqrt.f64 y) |
| Outputs |
|---|
-3 |
(- (/ x (pow y 2)) 3) |
(* -1 x) |
(/ 3 x) |
(/ (+ 3 (* -1 (/ x (pow y 2)))) x) |
(/ x (pow y 2)) |
(sqrt (/ x y)) |
(/ x y) |
(* (sqrt x) (/ 1 (pow y 2))) |
(* (sqrt x) (/ 1 y)) |
(* x (sqrt (/ 1 (pow y 3)))) |
(* (pow (/ 1 (pow y 5)) 1/4) x) |
(sqrt (/ x (pow y 3))) |
(sqrt x) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(/ -1 (pow y 2)) |
(- (* 3 (/ 1 x)) (/ 1 (pow y 2))) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2))) |
(* -1 (* x (+ (* 3 (/ 1 x)) (/ (pow (sqrt -1) 2) (pow y 2))))) |
(* -1 (* (sqrt (/ x y)) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) (pow y 2)))) |
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y))) |
(* -1 (* (sqrt (/ x (pow y 3))) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/ (- (* 3 (/ (pow y 2) x)) 1) (pow y 2)) |
(/ 1 (pow y 2)) |
(sqrt y) |
(- (* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2))) 3) |
(* (sqrt (/ x y)) (pow (sqrt -1) 2)) |
(* (* x (sqrt -1)) (sqrt (/ 1 (pow y 3)))) |
(* -1 (/ x (* (pow y 2) (sqrt -1)))) |
(* -1 (* x (exp (* 1/4 (+ (log -1) (* 5 (log (/ -1 y)))))))) |
(- (* -1 (/ x (* (pow y 2) (sqrt -1)))) 3) |
(* (sqrt (/ x (pow y 3))) (pow (sqrt -1) 2)) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 76.0ms | x | @ | 0 | ((- (/ (/ x y) y) 3) (* (neg x) (- (/ 3 x) (/ 1 (* y y)))) (neg x) (- (/ 3 x) (/ 1 (* y y))) (* (sqrt (/ x y)) (/ (sqrt (/ x y)) y)) (- (* (sqrt (/ x y)) (/ (sqrt (/ x y)) y)) 3) (sqrt (/ x y)) (/ x y) (* (/ (/ (sqrt x) y) y) (sqrt x)) (- (* (/ (/ (sqrt x) y) y) (sqrt x)) 3) (/ (/ (sqrt x) y) y) (/ (sqrt x) y) (/ (/ (/ x y) (pow y 1/4)) (pow y 1/4)) (/ (/ (/ (/ x y) (pow y 1/4)) (pow y 1/4)) (sqrt y)) (/ (/ x y) (pow y 1/4)) (- (/ (/ (/ (/ x y) (pow y 1/4)) (pow y 1/4)) (sqrt y)) 3) (/ 1 (* y y)) (/ (sqrt (/ x y)) y) (sqrt x) (sqrt y)) |
| 41.0ms | x | @ | inf | ((- (/ (/ x y) y) 3) (* (neg x) (- (/ 3 x) (/ 1 (* y y)))) (neg x) (- (/ 3 x) (/ 1 (* y y))) (* (sqrt (/ x y)) (/ (sqrt (/ x y)) y)) (- (* (sqrt (/ x y)) (/ (sqrt (/ x y)) y)) 3) (sqrt (/ x y)) (/ x y) (* (/ (/ (sqrt x) y) y) (sqrt x)) (- (* (/ (/ (sqrt x) y) y) (sqrt x)) 3) (/ (/ (sqrt x) y) y) (/ (sqrt x) y) (/ (/ (/ x y) (pow y 1/4)) (pow y 1/4)) (/ (/ (/ (/ x y) (pow y 1/4)) (pow y 1/4)) (sqrt y)) (/ (/ x y) (pow y 1/4)) (- (/ (/ (/ (/ x y) (pow y 1/4)) (pow y 1/4)) (sqrt y)) 3) (/ 1 (* y y)) (/ (sqrt (/ x y)) y) (sqrt x) (sqrt y)) |
| 35.0ms | y | @ | -inf | ((- (/ (/ x y) y) 3) (* (neg x) (- (/ 3 x) (/ 1 (* y y)))) (neg x) (- (/ 3 x) (/ 1 (* y y))) (* (sqrt (/ x y)) (/ (sqrt (/ x y)) y)) (- (* (sqrt (/ x y)) (/ (sqrt (/ x y)) y)) 3) (sqrt (/ x y)) (/ x y) (* (/ (/ (sqrt x) y) y) (sqrt x)) (- (* (/ (/ (sqrt x) y) y) (sqrt x)) 3) (/ (/ (sqrt x) y) y) (/ (sqrt x) y) (/ (/ (/ x y) (pow y 1/4)) (pow y 1/4)) (/ (/ (/ (/ x y) (pow y 1/4)) (pow y 1/4)) (sqrt y)) (/ (/ x y) (pow y 1/4)) (- (/ (/ (/ (/ x y) (pow y 1/4)) (pow y 1/4)) (sqrt y)) 3) (/ 1 (* y y)) (/ (sqrt (/ x y)) y) (sqrt x) (sqrt y)) |
| 26.0ms | y | @ | inf | ((- (/ (/ x y) y) 3) (* (neg x) (- (/ 3 x) (/ 1 (* y y)))) (neg x) (- (/ 3 x) (/ 1 (* y y))) (* (sqrt (/ x y)) (/ (sqrt (/ x y)) y)) (- (* (sqrt (/ x y)) (/ (sqrt (/ x y)) y)) 3) (sqrt (/ x y)) (/ x y) (* (/ (/ (sqrt x) y) y) (sqrt x)) (- (* (/ (/ (sqrt x) y) y) (sqrt x)) 3) (/ (/ (sqrt x) y) y) (/ (sqrt x) y) (/ (/ (/ x y) (pow y 1/4)) (pow y 1/4)) (/ (/ (/ (/ x y) (pow y 1/4)) (pow y 1/4)) (sqrt y)) (/ (/ x y) (pow y 1/4)) (- (/ (/ (/ (/ x y) (pow y 1/4)) (pow y 1/4)) (sqrt y)) 3) (/ 1 (* y y)) (/ (sqrt (/ x y)) y) (sqrt x) (sqrt y)) |
| 15.0ms | y | @ | 0 | ((- (/ (/ x y) y) 3) (* (neg x) (- (/ 3 x) (/ 1 (* y y)))) (neg x) (- (/ 3 x) (/ 1 (* y y))) (* (sqrt (/ x y)) (/ (sqrt (/ x y)) y)) (- (* (sqrt (/ x y)) (/ (sqrt (/ x y)) y)) 3) (sqrt (/ x y)) (/ x y) (* (/ (/ (sqrt x) y) y) (sqrt x)) (- (* (/ (/ (sqrt x) y) y) (sqrt x)) 3) (/ (/ (sqrt x) y) y) (/ (sqrt x) y) (/ (/ (/ x y) (pow y 1/4)) (pow y 1/4)) (/ (/ (/ (/ x y) (pow y 1/4)) (pow y 1/4)) (sqrt y)) (/ (/ x y) (pow y 1/4)) (- (/ (/ (/ (/ x y) (pow y 1/4)) (pow y 1/4)) (sqrt y)) 3) (/ 1 (* y y)) (/ (sqrt (/ x y)) y) (sqrt x) (sqrt y)) |
| 1× | egg-herbie |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 88 | 232 |
| 1 | 213 | 213 |
| 2 | 620 | 210 |
| 3 | 2154 | 210 |
| 4 | 6241 | 209 |
| 0 | 8413 | 209 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-3 |
(- (/ x (pow y 2)) 3) |
(* -1 x) |
(/ 3 x) |
(/ (+ 3 (* -1 (/ x (pow y 2)))) x) |
(/ x (pow y 2)) |
(sqrt (/ x y)) |
(/ x y) |
(* (sqrt x) (/ 1 (pow y 2))) |
(* (sqrt x) (/ 1 y)) |
(* x (sqrt (/ 1 (pow y 3)))) |
(* (pow (/ 1 (pow y 5)) 1/4) x) |
(sqrt (/ x (pow y 3))) |
(sqrt x) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(/ -1 (pow y 2)) |
(- (* 3 (/ 1 x)) (/ 1 (pow y 2))) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2))) |
(* -1 (* x (+ (* 3 (/ 1 x)) (/ (pow (sqrt -1) 2) (pow y 2))))) |
(* -1 (* (sqrt (/ x y)) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) (pow y 2)))) |
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y))) |
(* -1 (* (sqrt (/ x (pow y 3))) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/ (- (* 3 (/ (pow y 2) x)) 1) (pow y 2)) |
(/ 1 (pow y 2)) |
(sqrt y) |
(- (* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2))) 3) |
(* (sqrt (/ x y)) (pow (sqrt -1) 2)) |
(* (* x (sqrt -1)) (sqrt (/ 1 (pow y 3)))) |
(* -1 (/ x (* (pow y 2) (sqrt -1)))) |
(* -1 (* x (exp (* 1/4 (+ (log -1) (* 5 (log (/ -1 y)))))))) |
(- (* -1 (/ x (* (pow y 2) (sqrt -1)))) 3) |
(* (sqrt (/ x (pow y 3))) (pow (sqrt -1) 2)) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
| Outputs |
|---|
-3 |
#s(literal -3 binary64) |
(- (/ x (pow y 2)) 3) |
(-.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y)) |
(* -1 x) |
(neg.f64 x) |
(/ 3 x) |
(/.f64 #s(literal 3 binary64) x) |
(/ (+ 3 (* -1 (/ x (pow y 2)))) x) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (/.f64 #s(literal -3 binary64) x)) |
(/ x (pow y 2)) |
(/.f64 (/.f64 x y) y) |
(sqrt (/ x y)) |
(sqrt.f64 (/.f64 x y)) |
(/ x y) |
(/.f64 x y) |
(* (sqrt x) (/ 1 (pow y 2))) |
(/.f64 (/.f64 (sqrt.f64 x) y) y) |
(* (sqrt x) (/ 1 y)) |
(/.f64 (sqrt.f64 x) y) |
(* x (sqrt (/ 1 (pow y 3)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) x) |
(* (pow (/ 1 (pow y 5)) 1/4) x) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))) #s(literal 1/4 binary64)) x) |
(sqrt (/ x (pow y 3))) |
(sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64)))) |
(sqrt x) |
(sqrt.f64 x) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(-.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y)) |
(/ -1 (pow y 2)) |
(/.f64 (/.f64 #s(literal 1 binary64) y) y) |
(- (* 3 (/ 1 x)) (/ 1 (pow y 2))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (/.f64 #s(literal -3 binary64) x)) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(-.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y)) |
(* -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 #s(literal -3 binary64) (/.f64 (/.f64 x y) y)) |
(* -1 (* (sqrt (/ x y)) (pow (sqrt -1) 2))) |
(sqrt.f64 (/.f64 x y)) |
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) (pow y 2)))) |
(/.f64 (/.f64 (sqrt.f64 x) y) 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)))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(-.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y)) |
(/ (- (* 3 (/ (pow y 2) x)) 1) (pow y 2)) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (/.f64 #s(literal -3 binary64) x)) |
(/ 1 (pow y 2)) |
(/.f64 (/.f64 #s(literal 1 binary64) y) y) |
(sqrt y) |
(sqrt.f64 y) |
(- (* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2))) 3) |
(-.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y)) |
(* (sqrt (/ x y)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 x y))) |
(* (* x (sqrt -1)) (sqrt (/ 1 (pow y 3)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) |
(* -1 (/ x (* (pow y 2) (sqrt -1)))) |
(/.f64 (/.f64 x y) y) |
(* -1 (* x (exp (* 1/4 (+ (log -1) (* 5 (log (/ -1 y)))))))) |
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 5/4 binary64)) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 5/4 binary64)) x)) |
(- (* -1 (/ x (* (pow y 2) (sqrt -1)))) 3) |
(-.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y)) |
(* (sqrt (/ x (pow y 3))) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))))) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(sqrt.f64 y) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 167 |
| 0 | 53 | 165 |
| 1 | 178 | 116 |
| 2 | 1237 | 113 |
| 0 | 8773 | 113 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (/ (/ x y) y) 3) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 3 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y y))))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 3 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) |
(neg.f64 x) |
(-.f64 (/.f64 #s(literal 3 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(*.f64 (sqrt.f64 (/.f64 x y)) (/.f64 (sqrt.f64 (/.f64 x y)) y)) |
(-.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (/.f64 (sqrt.f64 (/.f64 x y)) y)) #s(literal 3 binary64)) |
(sqrt.f64 (/.f64 x y)) |
(/.f64 x y) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 x) y) y) (sqrt.f64 x)) |
(-.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 x) y) y) (sqrt.f64 x)) #s(literal 3 binary64)) |
(/.f64 (/.f64 (sqrt.f64 x) y) y) |
(/.f64 (sqrt.f64 x) y) |
(/.f64 (/.f64 (/.f64 x y) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64))) |
(/.f64 (/.f64 (/.f64 (/.f64 x y) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64))) (sqrt.f64 y)) |
(/.f64 (/.f64 x y) (pow.f64 y #s(literal 1/4 binary64))) |
(-.f64 (/.f64 (/.f64 (/.f64 (/.f64 x y) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64))) (sqrt.f64 y)) #s(literal 3 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/.f64 (sqrt.f64 (/.f64 x y)) y) |
(sqrt.f64 x) |
(sqrt.f64 y) |
| Outputs |
|---|
#s(approx (- (/ (/ x y) y) 3) (*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) (pow.f64 y #s(literal -2 binary64))) (neg.f64 x))) |
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) x) (*.f64 x (neg.f64 y))) (/.f64 x y)) |
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) x) (*.f64 x y)) (/.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 (neg.f64 x) (*.f64 x (neg.f64 y))) (/.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) x) (neg.f64 y))) |
(*.f64 (/.f64 (neg.f64 x) (*.f64 x y)) (/.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) x) y)) |
(*.f64 (/.f64 (neg.f64 x) (*.f64 y y)) (/.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) x) x)) |
(*.f64 (/.f64 (neg.f64 x) x) (/.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) x) (*.f64 y y))) |
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) x) (*.f64 y y)) (/.f64 (neg.f64 x) x)) |
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) x) x) (/.f64 (neg.f64 x) (*.f64 y y))) |
(*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) (pow.f64 y #s(literal -2 binary64))) (neg.f64 x)) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 3 binary64) x) (pow.f64 y #s(literal -2 binary64)))) |
(*.f64 x (neg.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) (pow.f64 y #s(literal -2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (pow.f64 y #s(literal -4 binary64))) (neg.f64 x))) (neg.f64 (+.f64 (pow.f64 y #s(literal -2 binary64)) (/.f64 #s(literal 3 binary64) x)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (pow.f64 y #s(literal -6 binary64))) (neg.f64 x))) (neg.f64 (+.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) (/.f64 #s(literal 3 binary64) x) (pow.f64 y #s(literal -4 binary64))) (pow.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) x) (neg.f64 x))) (neg.f64 (*.f64 (*.f64 y y) x))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (-.f64 (pow.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (pow.f64 y #s(literal -4 binary64))))) (neg.f64 (+.f64 (pow.f64 y #s(literal -2 binary64)) (/.f64 #s(literal 3 binary64) x)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (-.f64 (pow.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (pow.f64 y #s(literal -6 binary64))))) (neg.f64 (+.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) (/.f64 #s(literal 3 binary64) x) (pow.f64 y #s(literal -4 binary64))) (pow.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (-.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) x))) (neg.f64 (*.f64 (*.f64 y y) x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (pow.f64 y #s(literal -4 binary64))) (neg.f64 x)) (+.f64 (pow.f64 y #s(literal -2 binary64)) (/.f64 #s(literal 3 binary64) x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (pow.f64 y #s(literal -6 binary64))) (neg.f64 x)) (+.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) (/.f64 #s(literal 3 binary64) x) (pow.f64 y #s(literal -4 binary64))) (pow.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) x) (neg.f64 x)) (*.f64 (*.f64 y y) x)) |
(/.f64 (*.f64 (neg.f64 x) (-.f64 (pow.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (pow.f64 y #s(literal -4 binary64)))) (+.f64 (pow.f64 y #s(literal -2 binary64)) (/.f64 #s(literal 3 binary64) x))) |
(/.f64 (*.f64 (neg.f64 x) (-.f64 (pow.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (pow.f64 y #s(literal -6 binary64)))) (+.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) (/.f64 #s(literal 3 binary64) x) (pow.f64 y #s(literal -4 binary64))) (pow.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (neg.f64 x) (-.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) x)) (*.f64 (*.f64 y y) x)) |
(neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) (pow.f64 y #s(literal -2 binary64))) x)) |
(neg.f64 x) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (+.f64 (pow.f64 y #s(literal -2 binary64)) (/.f64 #s(literal 3 binary64) x))) (/.f64 (pow.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (+.f64 (pow.f64 y #s(literal -2 binary64)) (/.f64 #s(literal 3 binary64) x)))) (*.f64 (/.f64 (pow.f64 y #s(literal -4 binary64)) (+.f64 (pow.f64 y #s(literal -2 binary64)) (/.f64 #s(literal 3 binary64) x))) (/.f64 (pow.f64 y #s(literal -4 binary64)) (+.f64 (pow.f64 y #s(literal -2 binary64)) (/.f64 #s(literal 3 binary64) x))))) (+.f64 (/.f64 (pow.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (+.f64 (pow.f64 y #s(literal -2 binary64)) (/.f64 #s(literal 3 binary64) x))) (/.f64 (pow.f64 y #s(literal -4 binary64)) (+.f64 (pow.f64 y #s(literal -2 binary64)) (/.f64 #s(literal 3 binary64) x))))) |
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(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) #s(literal 27 binary64)) (+.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 2 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 (/.f64 x y) y) #s(literal 3 binary64)) (+.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64)))) (/.f64 #s(literal 27 binary64) (+.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(*.f64 (fabs.f64 (pow.f64 y #s(literal -1 binary64))) (fabs.f64 (pow.f64 y #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (neg.f64 (neg.f64 y)) #s(literal -1 binary64)) (pow.f64 (neg.f64 (neg.f64 y)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal -1 binary64))) (neg.f64 (pow.f64 y #s(literal -1 binary64)))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 y) #s(literal -2 binary64)) |
(pow.f64 (*.f64 y y) #s(literal -1 binary64)) |
(pow.f64 y #s(literal -2 binary64)) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 y #s(literal -1 binary64)))) (neg.f64 (neg.f64 y))) |
(/.f64 (fabs.f64 (neg.f64 (pow.f64 y #s(literal -1 binary64)))) y) |
(/.f64 (fabs.f64 (pow.f64 y #s(literal -1 binary64))) y) |
(/.f64 (neg.f64 (pow.f64 y #s(literal -1 binary64))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (pow.f64 y #s(literal -1 binary64))) (neg.f64 y)) |
(/.f64 (pow.f64 y #s(literal -1 binary64)) (neg.f64 y)) |
(/.f64 (pow.f64 y #s(literal -1 binary64)) y) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) y)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y))) |
(sqrt.f64 (pow.f64 y #s(literal -4 binary64))) |
(fabs.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y))) |
(fabs.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64)))) |
(fabs.f64 (pow.f64 y #s(literal -2 binary64))) |
(exp.f64 (*.f64 (log.f64 y) #s(literal -2 binary64))) |
(exp.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) |
(+.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 x #s(literal 1/4 binary64)) (sqrt.f64 y)) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) y)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 x y))))) (neg.f64 (neg.f64 (neg.f64 y)))) |
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 x y)))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (pow.f64 y #s(literal 3/2 binary64)))) |
(/.f64 (neg.f64 (sqrt.f64 (/.f64 x y))) (neg.f64 y)) |
(/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/2 binary64))) |
(/.f64 (sqrt.f64 (/.f64 x y)) y) |
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 (/.f64 x y))) y)) |
(neg.f64 (/.f64 (sqrt.f64 (/.f64 x y)) (neg.f64 y))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (neg.f64 (pow.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 x #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 x)) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 x) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) |
(pow.f64 x #s(literal 1/2 binary64)) |
(sqrt.f64 x) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))) |
(*.f64 (pow.f64 y #s(literal 3/8 binary64)) (pow.f64 y #s(literal 1/8 binary64))) |
(*.f64 (pow.f64 (neg.f64 (neg.f64 y)) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (neg.f64 y)) #s(literal 1/4 binary64))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64)))) (neg.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64))))) |
(*.f64 (pow.f64 y #s(literal 1/8 binary64)) (pow.f64 y #s(literal 3/8 binary64))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64))) (neg.f64 (pow.f64 y #s(literal 1/4 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 4 binary64)) #s(literal 1/8 binary64)) |
(pow.f64 (pow.f64 y #s(literal 1/8 binary64)) #s(literal 4 binary64)) |
(pow.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64))) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 y) #s(literal 1/2 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 y #s(literal 1/2 binary64)) |
(sqrt.f64 (neg.f64 y)) |
(sqrt.f64 y) |
(fabs.f64 (sqrt.f64 y)) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 1/4 binary64))) |
(exp.f64 (fma.f64 (log.f64 y) #s(literal 1/4 binary64) (*.f64 (log.f64 y) #s(literal 1/4 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64))) |
(+.f64 (cosh.f64 (fma.f64 (log.f64 y) #s(literal 1/4 binary64) (*.f64 (log.f64 y) #s(literal 1/4 binary64)))) (sinh.f64 (fma.f64 (log.f64 y) #s(literal 1/4 binary64) (*.f64 (log.f64 y) #s(literal 1/4 binary64))))) |
(+.f64 (cosh.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (sinh.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64)) #s(literal 2 binary64)))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)))) |
Compiled 12 461 to 2 182 computations (82.5% saved)
9 alts after pruning (5 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 565 | 5 | 570 |
| Fresh | 0 | 0 | 0 |
| Picked | 3 | 1 | 4 |
| Done | 0 | 3 | 3 |
| Total | 568 | 9 | 577 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (-.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 5/4 binary64))) (pow.f64 y #s(literal 3/4 binary64))) #s(literal 3 binary64)) |
| ✓ | 99.9% | (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
| ✓ | 94.1% | (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
| ▶ | 99.9% | (-.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x y)) #s(literal 3 binary64)) |
| ▶ | 58.1% | #s(approx (- (/ (/ x y) y) 3) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) x) (*.f64 x (neg.f64 y))) (/.f64 x y))) |
| ▶ | 55.7% | #s(approx (- (/ (/ x y) y) 3) (*.f64 (neg.f64 x) (/.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) x) (*.f64 (*.f64 y y) x)))) |
| ✓ | 93.6% | #s(approx (- (/ (/ x y) y) 3) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 3 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y y))))) |
| ▶ | 51.5% | #s(approx (- (/ (/ x y) y) 3) (*.f64 (neg.f64 x) #s(approx (- (/ 3 x) (/ 1 (* y y))) (/.f64 #s(literal 3 binary64) x)))) |
| ✓ | 51.5% | #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) |
Compiled 227 to 167 computations (26.4% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 y #s(literal 5/4 binary64)) | |
| cost-diff | 0 | (/.f64 x (pow.f64 y #s(literal 5/4 binary64))) | |
| cost-diff | 0 | (/.f64 (/.f64 x (pow.f64 y #s(literal 5/4 binary64))) (pow.f64 y #s(literal 3/4 binary64))) | |
| cost-diff | 0 | (-.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 5/4 binary64))) (pow.f64 y #s(literal 3/4 binary64))) #s(literal 3 binary64)) | |
| cost-diff | 0 | (-.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) x) | |
| cost-diff | 0 | #s(approx (- (/ (/ x y) y) 3) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) x) (*.f64 x (neg.f64 y))) (/.f64 x y))) | |
| cost-diff | 4 | (/.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) x) (*.f64 x (neg.f64 y))) | |
| cost-diff | 5 | (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) x) (*.f64 x (neg.f64 y))) (/.f64 x y)) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | #s(approx (- (/ (/ x y) y) 3) (*.f64 (neg.f64 x) (/.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) x) (*.f64 (*.f64 y y) x)))) | |
| cost-diff | 3 | (*.f64 (neg.f64 x) (/.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) x) (*.f64 (*.f64 y y) x))) | |
| cost-diff | 6 | (/.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) x) (*.f64 (*.f64 y y) x)) | |
| cost-diff | 0 | #s(approx (- (/ 3 x) (/ 1 (* y y))) (/.f64 #s(literal 3 binary64) x)) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (*.f64 (neg.f64 x) #s(approx (- (/ 3 x) (/ 1 (* y y))) (/.f64 #s(literal 3 binary64) x))) | |
| cost-diff | 0 | #s(approx (- (/ (/ x y) y) 3) (*.f64 (neg.f64 x) #s(approx (- (/ 3 x) (/ 1 (* y y))) (/.f64 #s(literal 3 binary64) x)))) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (pow.f64 y #s(literal -1 binary64)) | |
| cost-diff | 0 | (-.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x y)) #s(literal 3 binary64)) | |
| cost-diff | 2 | (*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 279 |
| 0 | 62 | 279 |
| 1 | 107 | 279 |
| 2 | 297 | 241 |
| 3 | 1457 | 236 |
| 4 | 5694 | 224 |
| 0 | 8104 | 223 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x y)) #s(literal 3 binary64)) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x y)) |
(pow.f64 y #s(literal -1 binary64)) |
y |
#s(literal -1 binary64) |
(/.f64 x y) |
x |
#s(literal 3 binary64) |
#s(approx (- (/ (/ x y) y) 3) (*.f64 (neg.f64 x) #s(approx (- (/ 3 x) (/ 1 (* y y))) (/.f64 #s(literal 3 binary64) x)))) |
(*.f64 (neg.f64 x) #s(approx (- (/ 3 x) (/ 1 (* y y))) (/.f64 #s(literal 3 binary64) x))) |
(neg.f64 x) |
x |
#s(approx (- (/ 3 x) (/ 1 (* y y))) (/.f64 #s(literal 3 binary64) x)) |
(/.f64 #s(literal 3 binary64) x) |
#s(literal 3 binary64) |
#s(approx (- (/ (/ x y) y) 3) (*.f64 (neg.f64 x) (/.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) x) (*.f64 (*.f64 y y) x)))) |
(*.f64 (neg.f64 x) (/.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) x) (*.f64 (*.f64 y y) x))) |
(neg.f64 x) |
x |
(/.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) x) (*.f64 (*.f64 y y) x)) |
(-.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) x) |
(*.f64 (*.f64 y y) #s(literal 3 binary64)) |
(*.f64 y y) |
y |
#s(literal 3 binary64) |
(*.f64 (*.f64 y y) x) |
#s(approx (- (/ (/ x y) y) 3) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) x) (*.f64 x (neg.f64 y))) (/.f64 x y))) |
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) x) (*.f64 x (neg.f64 y))) (/.f64 x y)) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) x) (*.f64 x (neg.f64 y))) |
(-.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) x) |
(*.f64 (*.f64 y y) #s(literal 3 binary64)) |
(*.f64 y y) |
y |
#s(literal 3 binary64) |
x |
(*.f64 x (neg.f64 y)) |
(neg.f64 y) |
(/.f64 x y) |
(-.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 5/4 binary64))) (pow.f64 y #s(literal 3/4 binary64))) #s(literal 3 binary64)) |
(/.f64 (/.f64 x (pow.f64 y #s(literal 5/4 binary64))) (pow.f64 y #s(literal 3/4 binary64))) |
(/.f64 x (pow.f64 y #s(literal 5/4 binary64))) |
x |
(pow.f64 y #s(literal 5/4 binary64)) |
y |
#s(literal 5/4 binary64) |
(pow.f64 y #s(literal 3/4 binary64)) |
#s(literal 3/4 binary64) |
#s(literal 3 binary64) |
| Outputs |
|---|
(-.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x y)) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x y)) |
(/.f64 (/.f64 x y) y) |
(pow.f64 y #s(literal -1 binary64)) |
y |
#s(literal -1 binary64) |
(/.f64 x y) |
x |
#s(literal 3 binary64) |
#s(approx (- (/ (/ x y) y) 3) (*.f64 (neg.f64 x) #s(approx (- (/ 3 x) (/ 1 (* y y))) (/.f64 #s(literal 3 binary64) x)))) |
#s(approx (- (/ (/ x y) y) 3) (*.f64 #s(approx (- (/ 3 x) (/ 1 (* y y))) (/.f64 #s(literal 3 binary64) x)) (neg.f64 x))) |
(*.f64 (neg.f64 x) #s(approx (- (/ 3 x) (/ 1 (* y y))) (/.f64 #s(literal 3 binary64) x))) |
(*.f64 #s(approx (- (/ 3 x) (/ 1 (* y y))) (/.f64 #s(literal 3 binary64) x)) (neg.f64 x)) |
(neg.f64 x) |
x |
#s(approx (- (/ 3 x) (/ 1 (* y y))) (/.f64 #s(literal 3 binary64) x)) |
(/.f64 #s(literal 3 binary64) x) |
#s(literal 3 binary64) |
#s(approx (- (/ (/ x y) y) 3) (*.f64 (neg.f64 x) (/.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) x) (*.f64 (*.f64 y y) x)))) |
#s(approx (- (/ (/ x y) y) 3) (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y))) |
(*.f64 (neg.f64 x) (/.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) x) (*.f64 (*.f64 y y) x))) |
(+.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y)) |
(neg.f64 x) |
x |
(/.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) x) (*.f64 (*.f64 y y) x)) |
(-.f64 (/.f64 #s(literal 3 binary64) x) (pow.f64 y #s(literal -2 binary64))) |
(-.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) x) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (neg.f64 x)) |
(*.f64 (*.f64 y y) #s(literal 3 binary64)) |
(*.f64 y y) |
y |
#s(literal 3 binary64) |
(*.f64 (*.f64 y y) x) |
#s(approx (- (/ (/ x y) y) 3) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) x) (*.f64 x (neg.f64 y))) (/.f64 x y))) |
#s(approx (- (/ (/ x y) y) 3) (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y))) |
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) x) (*.f64 x (neg.f64 y))) (/.f64 x y)) |
(+.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) y)) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) x) (*.f64 x (neg.f64 y))) |
(/.f64 (fma.f64 #s(literal -3 binary64) y (/.f64 x y)) x) |
(-.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) x) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (neg.f64 x)) |
(*.f64 (*.f64 y y) #s(literal 3 binary64)) |
(*.f64 y y) |
y |
#s(literal 3 binary64) |
x |
(*.f64 x (neg.f64 y)) |
(*.f64 (neg.f64 y) x) |
(neg.f64 y) |
(/.f64 x y) |
(-.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 5/4 binary64))) (pow.f64 y #s(literal 3/4 binary64))) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 3/4 binary64))) (pow.f64 y #s(literal 5/4 binary64))) #s(literal 3 binary64)) |
(/.f64 (/.f64 x (pow.f64 y #s(literal 5/4 binary64))) (pow.f64 y #s(literal 3/4 binary64))) |
(/.f64 (/.f64 x (pow.f64 y #s(literal 3/4 binary64))) (pow.f64 y #s(literal 5/4 binary64))) |
(/.f64 x (pow.f64 y #s(literal 5/4 binary64))) |
x |
(pow.f64 y #s(literal 5/4 binary64)) |
y |
#s(literal 5/4 binary64) |
(pow.f64 y #s(literal 3/4 binary64)) |
#s(literal 3/4 binary64) |
#s(literal 3 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (pow.f64 y #s(literal 3/4 binary64)) | |
| accuracy | 0.0 | (-.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 5/4 binary64))) (pow.f64 y #s(literal 3/4 binary64))) #s(literal 3 binary64)) | |
| accuracy | 0.15625 | (/.f64 (/.f64 x (pow.f64 y #s(literal 5/4 binary64))) (pow.f64 y #s(literal 3/4 binary64))) | |
| accuracy | 5.365314461724391 | (/.f64 x (pow.f64 y #s(literal 5/4 binary64))) | |
| accuracy | 0.0 | #s(approx (- (/ (/ x y) y) 3) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) x) (*.f64 x (neg.f64 y))) (/.f64 x y))) | |
| accuracy | 0.1796875 | (*.f64 (*.f64 y y) #s(literal 3 binary64)) | |
| accuracy | 9.814317297017801 | (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) x) (*.f64 x (neg.f64 y))) (/.f64 x y)) | |
| accuracy | 20.79226473069795 | (/.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) x) (*.f64 x (neg.f64 y))) | |
| accuracy | 0.1796875 | (*.f64 (*.f64 y y) #s(literal 3 binary64)) | |
| accuracy | 4.0579682359792395 | (*.f64 (neg.f64 x) (/.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) x) (*.f64 (*.f64 y y) x))) | |
| accuracy | 8.246352592371007 | (*.f64 (*.f64 y y) x) | |
| accuracy | 23.72279296535558 | (/.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) x) (*.f64 (*.f64 y y) x)) | |
| accuracy | 0.0 | (neg.f64 x) | |
| accuracy | 0.0 | #s(approx (- (/ (/ x y) y) 3) (*.f64 (neg.f64 x) #s(approx (- (/ 3 x) (/ 1 (* y y))) (/.f64 #s(literal 3 binary64) x)))) | |
| accuracy | 4.0579682359792395 | (*.f64 (neg.f64 x) #s(approx (- (/ 3 x) (/ 1 (* y y))) (/.f64 #s(literal 3 binary64) x))) | |
| accuracy | 30.981210156746073 | #s(approx (- (/ 3 x) (/ 1 (* y y))) (/.f64 #s(literal 3 binary64) x)) | |
| accuracy | 0.0 | (pow.f64 y #s(literal -1 binary64)) | |
| accuracy | 0.0 | (/.f64 x y) | |
| accuracy | 0.0 | (-.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x y)) #s(literal 3 binary64)) | |
| accuracy | 0.15462875976844204 | (*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x y)) |
| 72.0ms | 256× | 0 | valid |
Compiled 222 to 35 computations (84.2% saved)
ival-div: 14.0ms (26.9% of total)ival-pow: 14.0ms (26.9% of total)ival-mult: 12.0ms (23.1% of total)ival-sub: 8.0ms (15.4% of total)ival-neg: 2.0ms (3.8% of total)exact: 1.0ms (1.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x y)) |
(-.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x y)) #s(literal 3 binary64)) |
(pow.f64 y #s(literal -1 binary64)) |
(/.f64 x y) |
#s(approx (- (/ (/ x y) y) 3) (*.f64 (neg.f64 x) #s(approx (- (/ 3 x) (/ 1 (* y y))) (/.f64 #s(literal 3 binary64) x)))) |
(*.f64 (neg.f64 x) #s(approx (- (/ 3 x) (/ 1 (* y y))) (/.f64 #s(literal 3 binary64) x))) |
(neg.f64 x) |
#s(approx (- (/ 3 x) (/ 1 (* y y))) (/.f64 #s(literal 3 binary64) x)) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) x) (*.f64 (*.f64 y y) x)) |
(*.f64 (neg.f64 x) (/.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) x) (*.f64 (*.f64 y y) x))) |
#s(approx (- (/ (/ x y) y) 3) (*.f64 (neg.f64 x) (/.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) x) (*.f64 (*.f64 y y) x)))) |
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) x) (*.f64 x (neg.f64 y))) (/.f64 x y)) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) x) (*.f64 x (neg.f64 y))) |
#s(approx (- (/ (/ x y) y) 3) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) x) (*.f64 x (neg.f64 y))) (/.f64 x y))) |
(-.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) x) |
(-.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 5/4 binary64))) (pow.f64 y #s(literal 3/4 binary64))) #s(literal 3 binary64)) |
(/.f64 (/.f64 x (pow.f64 y #s(literal 5/4 binary64))) (pow.f64 y #s(literal 3/4 binary64))) |
(/.f64 x (pow.f64 y #s(literal 5/4 binary64))) |
(pow.f64 y #s(literal 5/4 binary64)) |
(*.f64 (*.f64 y y) x) |
(*.f64 (*.f64 y y) #s(literal 3 binary64)) |
(pow.f64 y #s(literal 3/4 binary64)) |
| Outputs |
|---|
(/ x (pow y 2)) |
-3 |
(- (/ x (pow y 2)) 3) |
(/ x y) |
(* -1 x) |
(/ 3 x) |
(/ (+ 3 (* -1 (/ x (pow y 2)))) x) |
(* -3 (/ y x)) |
(/ (+ (* -3 y) (/ x y)) x) |
(* 3 (pow y 2)) |
(+ (* -1 x) (* 3 (pow y 2))) |
(* (pow (/ 1 (pow y 5)) 1/4) x) |
(* x (pow y 2)) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(/ -1 (pow y 2)) |
(- (* 3 (/ 1 x)) (/ 1 (pow y 2))) |
(/ 1 y) |
(+ (* -3 (/ y x)) (/ 1 y)) |
(* x (- (* 3 (/ (pow y 2) x)) 1)) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(* -1 (* x (+ 1 (* -3 (/ (pow y 2) x))))) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/ (- (* 3 (/ (pow y 2) x)) 1) (pow y 2)) |
(/ (+ 1 (* -3 (/ (pow y 2) x))) y) |
(- (* 3 (pow y 2)) x) |
(pow (* 1 (pow y 5)) 1/4) |
(pow (* 1 (pow y 3)) 1/4) |
(* y (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* (pow y 2) (+ 3 (* -1 (/ x (pow y 2))))) |
(* -1 (* y (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(* x (exp (* 1/4 (+ (log -1) (* 5 (log (/ -1 y))))))) |
(exp (* 1/4 (+ (log -1) (* -5 (log (/ -1 y)))))) |
(exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 y)))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 31.0ms | y | @ | -inf | ((* (pow y -1) (/ x y)) (- (* (pow y -1) (/ x y)) 3) (pow y -1) (/ x y) (- (/ (/ x y) y) 3) (* (neg x) (- (/ 3 x) (/ 1 (* y y)))) (neg x) (- (/ 3 x) (/ 1 (* y y))) (/ (- (* (* y y) 3) x) (* (* y y) x)) (* (neg x) (/ (- (* (* y y) 3) x) (* (* y y) x))) (- (/ (/ x y) y) 3) (* (/ (- (* (* y y) 3) x) (* x (neg y))) (/ x y)) (/ (- (* (* y y) 3) x) (* x (neg y))) (- (/ (/ x y) y) 3) (- (* (* y y) 3) x) (- (/ (/ x (pow y 5/4)) (pow y 3/4)) 3) (/ (/ x (pow y 5/4)) (pow y 3/4)) (/ x (pow y 5/4)) (pow y 5/4) (* (* y y) x) (* (* y y) 3) (pow y 3/4)) |
| 31.0ms | y | @ | 0 | ((* (pow y -1) (/ x y)) (- (* (pow y -1) (/ x y)) 3) (pow y -1) (/ x y) (- (/ (/ x y) y) 3) (* (neg x) (- (/ 3 x) (/ 1 (* y y)))) (neg x) (- (/ 3 x) (/ 1 (* y y))) (/ (- (* (* y y) 3) x) (* (* y y) x)) (* (neg x) (/ (- (* (* y y) 3) x) (* (* y y) x))) (- (/ (/ x y) y) 3) (* (/ (- (* (* y y) 3) x) (* x (neg y))) (/ x y)) (/ (- (* (* y y) 3) x) (* x (neg y))) (- (/ (/ x y) y) 3) (- (* (* y y) 3) x) (- (/ (/ x (pow y 5/4)) (pow y 3/4)) 3) (/ (/ x (pow y 5/4)) (pow y 3/4)) (/ x (pow y 5/4)) (pow y 5/4) (* (* y y) x) (* (* y y) 3) (pow y 3/4)) |
| 30.0ms | y | @ | inf | ((* (pow y -1) (/ x y)) (- (* (pow y -1) (/ x y)) 3) (pow y -1) (/ x y) (- (/ (/ x y) y) 3) (* (neg x) (- (/ 3 x) (/ 1 (* y y)))) (neg x) (- (/ 3 x) (/ 1 (* y y))) (/ (- (* (* y y) 3) x) (* (* y y) x)) (* (neg x) (/ (- (* (* y y) 3) x) (* (* y y) x))) (- (/ (/ x y) y) 3) (* (/ (- (* (* y y) 3) x) (* x (neg y))) (/ x y)) (/ (- (* (* y y) 3) x) (* x (neg y))) (- (/ (/ x y) y) 3) (- (* (* y y) 3) x) (- (/ (/ x (pow y 5/4)) (pow y 3/4)) 3) (/ (/ x (pow y 5/4)) (pow y 3/4)) (/ x (pow y 5/4)) (pow y 5/4) (* (* y y) x) (* (* y y) 3) (pow y 3/4)) |
| 16.0ms | x | @ | 0 | ((* (pow y -1) (/ x y)) (- (* (pow y -1) (/ x y)) 3) (pow y -1) (/ x y) (- (/ (/ x y) y) 3) (* (neg x) (- (/ 3 x) (/ 1 (* y y)))) (neg x) (- (/ 3 x) (/ 1 (* y y))) (/ (- (* (* y y) 3) x) (* (* y y) x)) (* (neg x) (/ (- (* (* y y) 3) x) (* (* y y) x))) (- (/ (/ x y) y) 3) (* (/ (- (* (* y y) 3) x) (* x (neg y))) (/ x y)) (/ (- (* (* y y) 3) x) (* x (neg y))) (- (/ (/ x y) y) 3) (- (* (* y y) 3) x) (- (/ (/ x (pow y 5/4)) (pow y 3/4)) 3) (/ (/ x (pow y 5/4)) (pow y 3/4)) (/ x (pow y 5/4)) (pow y 5/4) (* (* y y) x) (* (* y y) 3) (pow y 3/4)) |
| 14.0ms | x | @ | -inf | ((* (pow y -1) (/ x y)) (- (* (pow y -1) (/ x y)) 3) (pow y -1) (/ x y) (- (/ (/ x y) y) 3) (* (neg x) (- (/ 3 x) (/ 1 (* y y)))) (neg x) (- (/ 3 x) (/ 1 (* y y))) (/ (- (* (* y y) 3) x) (* (* y y) x)) (* (neg x) (/ (- (* (* y y) 3) x) (* (* y y) x))) (- (/ (/ x y) y) 3) (* (/ (- (* (* y y) 3) x) (* x (neg y))) (/ x y)) (/ (- (* (* y y) 3) x) (* x (neg y))) (- (/ (/ x y) y) 3) (- (* (* y y) 3) x) (- (/ (/ x (pow y 5/4)) (pow y 3/4)) 3) (/ (/ x (pow y 5/4)) (pow y 3/4)) (/ x (pow y 5/4)) (pow y 5/4) (* (* y y) x) (* (* y y) 3) (pow y 3/4)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 81 | 237 |
| 1 | 208 | 229 |
| 2 | 564 | 220 |
| 3 | 2007 | 220 |
| 4 | 5742 | 220 |
| 0 | 8312 | 215 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ x (pow y 2)) |
-3 |
(- (/ x (pow y 2)) 3) |
(/ x y) |
(* -1 x) |
(/ 3 x) |
(/ (+ 3 (* -1 (/ x (pow y 2)))) x) |
(* -3 (/ y x)) |
(/ (+ (* -3 y) (/ x y)) x) |
(* 3 (pow y 2)) |
(+ (* -1 x) (* 3 (pow y 2))) |
(* (pow (/ 1 (pow y 5)) 1/4) x) |
(* x (pow y 2)) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(/ -1 (pow y 2)) |
(- (* 3 (/ 1 x)) (/ 1 (pow y 2))) |
(/ 1 y) |
(+ (* -3 (/ y x)) (/ 1 y)) |
(* x (- (* 3 (/ (pow y 2) x)) 1)) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(* -1 (* x (+ 1 (* -3 (/ (pow y 2) x))))) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/ (- (* 3 (/ (pow y 2) x)) 1) (pow y 2)) |
(/ (+ 1 (* -3 (/ (pow y 2) x))) y) |
(- (* 3 (pow y 2)) x) |
(pow (* 1 (pow y 5)) 1/4) |
(pow (* 1 (pow y 3)) 1/4) |
(* y (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* (pow y 2) (+ 3 (* -1 (/ x (pow y 2))))) |
(* -1 (* y (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(* x (exp (* 1/4 (+ (log -1) (* 5 (log (/ -1 y))))))) |
(exp (* 1/4 (+ (log -1) (* -5 (log (/ -1 y)))))) |
(exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 y)))))) |
| Outputs |
|---|
(/ x (pow y 2)) |
(/.f64 (/.f64 x y) y) |
-3 |
#s(literal -3 binary64) |
(- (/ x (pow y 2)) 3) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(/ x y) |
(/.f64 x y) |
(* -1 x) |
(neg.f64 x) |
(/ 3 x) |
(/.f64 #s(literal 3 binary64) x) |
(/ (+ 3 (* -1 (/ x (pow y 2)))) x) |
(/.f64 (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y)) x) |
(* -3 (/ y x)) |
(*.f64 (/.f64 y x) #s(literal -3 binary64)) |
(/ (+ (* -3 y) (/ x y)) x) |
(/.f64 (fma.f64 #s(literal -3 binary64) y (/.f64 x y)) x) |
(* 3 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 3 binary64)) |
(+ (* -1 x) (* 3 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (neg.f64 x)) |
(* (pow (/ 1 (pow y 5)) 1/4) x) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))) #s(literal 1/4 binary64)) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(/ -1 (pow y 2)) |
(/.f64 (/.f64 #s(literal -1 binary64) y) y) |
(- (* 3 (/ 1 x)) (/ 1 (pow y 2))) |
(/.f64 (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y)) x) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(+ (* -3 (/ y x)) (/ 1 y)) |
(fma.f64 (/.f64 y x) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) y)) |
(* x (- (* 3 (/ (pow y 2) x)) 1)) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (neg.f64 x)) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(* -1 (* x (+ 1 (* -3 (/ (pow y 2) x))))) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (neg.f64 x)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(/ (- (* 3 (/ (pow y 2) x)) 1) (pow y 2)) |
(/.f64 (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) y)) x) |
(/ (+ 1 (* -3 (/ (pow y 2) x))) y) |
(fma.f64 (/.f64 y x) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) y)) |
(- (* 3 (pow y 2)) x) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (neg.f64 x)) |
(pow (* 1 (pow y 5)) 1/4) |
(pow.f64 (pow.f64 y #s(literal 5 binary64)) #s(literal 1/4 binary64)) |
(pow (* 1 (pow y 3)) 1/4) |
(pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/4 binary64)) |
(* y (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(fma.f64 (/.f64 y x) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) y)) |
(* (pow y 2) (+ 3 (* -1 (/ x (pow y 2))))) |
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (neg.f64 x)) |
(* -1 (* y (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(fma.f64 (/.f64 y x) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) y)) |
(* x (exp (* 1/4 (+ (log -1) (* 5 (log (/ -1 y))))))) |
(*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 5/4 binary64)) x) (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64))) |
(exp (* 1/4 (+ (log -1) (* -5 (log (/ -1 y)))))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -5/4 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64))) |
(exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 y)))))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -3/4 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 230 |
| 0 | 62 | 226 |
| 1 | 215 | 182 |
| 2 | 1540 | 182 |
| 0 | 8070 | 182 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x y)) |
(-.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x y)) #s(literal 3 binary64)) |
(pow.f64 y #s(literal -1 binary64)) |
(/.f64 x y) |
#s(approx (- (/ (/ x y) y) 3) (*.f64 (neg.f64 x) #s(approx (- (/ 3 x) (/ 1 (* y y))) (/.f64 #s(literal 3 binary64) x)))) |
(*.f64 (neg.f64 x) #s(approx (- (/ 3 x) (/ 1 (* y y))) (/.f64 #s(literal 3 binary64) x))) |
(neg.f64 x) |
#s(approx (- (/ 3 x) (/ 1 (* y y))) (/.f64 #s(literal 3 binary64) x)) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) x) (*.f64 (*.f64 y y) x)) |
(*.f64 (neg.f64 x) (/.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) x) (*.f64 (*.f64 y y) x))) |
#s(approx (- (/ (/ x y) y) 3) (*.f64 (neg.f64 x) (/.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) x) (*.f64 (*.f64 y y) x)))) |
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) x) (*.f64 x (neg.f64 y))) (/.f64 x y)) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) x) (*.f64 x (neg.f64 y))) |
#s(approx (- (/ (/ x y) y) 3) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) x) (*.f64 x (neg.f64 y))) (/.f64 x y))) |
(-.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) x) |
(-.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 5/4 binary64))) (pow.f64 y #s(literal 3/4 binary64))) #s(literal 3 binary64)) |
(/.f64 (/.f64 x (pow.f64 y #s(literal 5/4 binary64))) (pow.f64 y #s(literal 3/4 binary64))) |
(/.f64 x (pow.f64 y #s(literal 5/4 binary64))) |
(pow.f64 y #s(literal 5/4 binary64)) |
(*.f64 (*.f64 y y) x) |
(*.f64 (*.f64 y y) #s(literal 3 binary64)) |
(pow.f64 y #s(literal 3/4 binary64)) |
| Outputs |
|---|
(*.f64 (*.f64 (/.f64 x y) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 x y))) |
(*.f64 (/.f64 x y) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x y)) |
(/.f64 (neg.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 5/4 binary64))) (pow.f64 y #s(literal 3/8 binary64)))) (neg.f64 (pow.f64 y #s(literal 3/8 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 x y))) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1 binary64))) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (neg.f64 x))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x))) (*.f64 y y)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 y y)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (pow.f64 y #s(literal -1 binary64)))) (neg.f64 (neg.f64 y))) |
(/.f64 (/.f64 (/.f64 x (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 #s(literal 1 binary64) (/.f64 x y)) y) |
(/.f64 (*.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(/.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (neg.f64 x)) (neg.f64 y)) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal 5/4 binary64))) (pow.f64 y #s(literal 3/4 binary64))))) |
(/.f64 (neg.f64 (neg.f64 x)) (*.f64 y y)) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 (neg.f64 y) y)) |
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 y) y)) |
(/.f64 (*.f64 (neg.f64 x) (pow.f64 y #s(literal -1 binary64))) (neg.f64 y)) |
(/.f64 (/.f64 (neg.f64 x) (pow.f64 y #s(literal 5/4 binary64))) (neg.f64 (neg.f64 (neg.f64 (pow.f64 y #s(literal 3/4 binary64)))))) |
(/.f64 (/.f64 (neg.f64 x) (pow.f64 y #s(literal 5/4 binary64))) (neg.f64 (pow.f64 y #s(literal 3/4 binary64)))) |
(/.f64 (/.f64 (neg.f64 x) y) (neg.f64 (neg.f64 (neg.f64 y)))) |
(/.f64 (/.f64 (neg.f64 x) y) (neg.f64 y)) |
(/.f64 (/.f64 x (pow.f64 y #s(literal 5/4 binary64))) (neg.f64 (neg.f64 (pow.f64 y #s(literal 3/4 binary64))))) |
(/.f64 (/.f64 x (pow.f64 y #s(literal 5/4 binary64))) (pow.f64 y #s(literal 3/4 binary64))) |
(/.f64 (neg.f64 x) (*.f64 (neg.f64 (pow.f64 y #s(literal 5/4 binary64))) (pow.f64 y #s(literal 3/4 binary64)))) |
(/.f64 (neg.f64 x) (*.f64 (neg.f64 y) y)) |
(/.f64 (/.f64 x y) (neg.f64 (neg.f64 y))) |
(/.f64 (/.f64 x y) y) |
(/.f64 x (*.f64 y y)) |
(neg.f64 (/.f64 (/.f64 (neg.f64 x) (pow.f64 y #s(literal 5/4 binary64))) (pow.f64 y #s(literal 3/4 binary64)))) |
(neg.f64 (/.f64 (/.f64 (neg.f64 x) y) y)) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64)) (+.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))) (/.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 2 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 (/.f64 x y) y) #s(literal 2 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))))) |
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(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) #s(literal 27 binary64)) (+.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 2 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 (/.f64 x y) y) #s(literal 3 binary64)) (+.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64)))) (/.f64 #s(literal 27 binary64) (+.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64) #s(literal 9 binary64)) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(*.f64 (*.f64 (/.f64 x y) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 x y))) |
(*.f64 (/.f64 x y) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x y)) |
(/.f64 (neg.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 5/4 binary64))) (pow.f64 y #s(literal 3/8 binary64)))) (neg.f64 (pow.f64 y #s(literal 3/8 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 x y))) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1 binary64))) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (neg.f64 x))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x))) (*.f64 y y)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 y y)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (pow.f64 y #s(literal -1 binary64)))) (neg.f64 (neg.f64 y))) |
(/.f64 (/.f64 (/.f64 x (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 #s(literal 1 binary64) (/.f64 x y)) y) |
(/.f64 (*.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(/.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (neg.f64 x)) (neg.f64 y)) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal 5/4 binary64))) (pow.f64 y #s(literal 3/4 binary64))))) |
(/.f64 (neg.f64 (neg.f64 x)) (*.f64 y y)) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 (neg.f64 y) y)) |
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 y) y)) |
(/.f64 (*.f64 (neg.f64 x) (pow.f64 y #s(literal -1 binary64))) (neg.f64 y)) |
(/.f64 (/.f64 (neg.f64 x) (pow.f64 y #s(literal 5/4 binary64))) (neg.f64 (neg.f64 (neg.f64 (pow.f64 y #s(literal 3/4 binary64)))))) |
(/.f64 (/.f64 (neg.f64 x) (pow.f64 y #s(literal 5/4 binary64))) (neg.f64 (pow.f64 y #s(literal 3/4 binary64)))) |
(/.f64 (/.f64 (neg.f64 x) y) (neg.f64 (neg.f64 (neg.f64 y)))) |
(/.f64 (/.f64 (neg.f64 x) y) (neg.f64 y)) |
(/.f64 (/.f64 x (pow.f64 y #s(literal 5/4 binary64))) (neg.f64 (neg.f64 (pow.f64 y #s(literal 3/4 binary64))))) |
(/.f64 (/.f64 x (pow.f64 y #s(literal 5/4 binary64))) (pow.f64 y #s(literal 3/4 binary64))) |
(/.f64 (neg.f64 x) (*.f64 (neg.f64 (pow.f64 y #s(literal 5/4 binary64))) (pow.f64 y #s(literal 3/4 binary64)))) |
(/.f64 (neg.f64 x) (*.f64 (neg.f64 y) y)) |
(/.f64 (/.f64 x y) (neg.f64 (neg.f64 y))) |
(/.f64 (/.f64 x y) y) |
(/.f64 x (*.f64 y y)) |
(neg.f64 (/.f64 (/.f64 (neg.f64 x) (pow.f64 y #s(literal 5/4 binary64))) (pow.f64 y #s(literal 3/4 binary64)))) |
(neg.f64 (/.f64 (/.f64 (neg.f64 x) y) y)) |
(/.f64 (neg.f64 (/.f64 x (pow.f64 y #s(literal 5/8 binary64)))) (neg.f64 (pow.f64 y #s(literal 5/8 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 (pow.f64 y #s(literal 5/4 binary64)))))) |
(/.f64 (/.f64 x (pow.f64 y #s(literal 5/8 binary64))) (pow.f64 y #s(literal 5/8 binary64))) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (pow.f64 y #s(literal 5/4 binary64))))) |
(/.f64 (neg.f64 x) (neg.f64 (pow.f64 y #s(literal 5/4 binary64)))) |
(/.f64 x (pow.f64 y #s(literal 5/4 binary64))) |
(neg.f64 (/.f64 (neg.f64 x) (pow.f64 y #s(literal 5/4 binary64)))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 y #s(literal 5/8 binary64)))) (neg.f64 (neg.f64 (pow.f64 y #s(literal 5/8 binary64))))) |
(*.f64 (pow.f64 (pow.f64 y #s(literal 13/8 binary64)) #s(literal 5/8 binary64)) (pow.f64 (pow.f64 y #s(literal 3/8 binary64)) #s(literal 5/8 binary64))) |
(*.f64 (pow.f64 (neg.f64 (neg.f64 y)) #s(literal 5/8 binary64)) (pow.f64 (neg.f64 (neg.f64 y)) #s(literal 5/8 binary64))) |
(*.f64 (pow.f64 (pow.f64 y #s(literal 5/8 binary64)) #s(literal 5/8 binary64)) (pow.f64 (pow.f64 y #s(literal 11/8 binary64)) #s(literal 5/8 binary64))) |
(*.f64 (pow.f64 (pow.f64 y #s(literal 3/4 binary64)) #s(literal 5/8 binary64)) (pow.f64 (pow.f64 y #s(literal 5/4 binary64)) #s(literal 5/8 binary64))) |
(*.f64 (pow.f64 (pow.f64 y #s(literal 5/4 binary64)) #s(literal 5/8 binary64)) (pow.f64 (pow.f64 y #s(literal 3/4 binary64)) #s(literal 5/8 binary64))) |
(*.f64 (pow.f64 (neg.f64 y) #s(literal 5/8 binary64)) (pow.f64 (neg.f64 y) #s(literal 5/8 binary64))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal 5/8 binary64))) (neg.f64 (pow.f64 y #s(literal 5/8 binary64)))) |
(*.f64 (pow.f64 y #s(literal 5/8 binary64)) (pow.f64 y #s(literal 5/8 binary64))) |
(pow.f64 (exp.f64 #s(literal 5/4 binary64)) (log.f64 y)) |
(pow.f64 (neg.f64 (pow.f64 y #s(literal 5/8 binary64))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 y #s(literal 5/8 binary64)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 y) #s(literal 5/4 binary64)) |
(pow.f64 (*.f64 y y) #s(literal 5/8 binary64)) |
(pow.f64 y #s(literal 5/4 binary64)) |
(/.f64 (-.f64 (*.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 5/4 binary64))) (cosh.f64 (*.f64 (log.f64 y) #s(literal 5/4 binary64)))) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 5/4 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 5/4 binary64))))) (-.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 5/4 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 5/4 binary64))))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 5/4 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 5/4 binary64))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 5/4 binary64))) (cosh.f64 (*.f64 (log.f64 y) #s(literal 5/4 binary64))) (-.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 5/4 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 5/4 binary64)))) (*.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 5/4 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 5/4 binary64))))))) |
(fabs.f64 (pow.f64 y #s(literal 5/4 binary64))) |
(exp.f64 (fma.f64 (log.f64 y) #s(literal 5/8 binary64) (*.f64 (log.f64 y) #s(literal 5/8 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 5/8 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 y #s(literal 5/8 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 5/8 binary64))) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 5/4 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 5/4 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 5/4 binary64)))) |
(*.f64 (*.f64 x y) y) |
(*.f64 (*.f64 (neg.f64 y) x) (neg.f64 y)) |
(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) x)) |
(*.f64 (*.f64 y y) x) |
(*.f64 x (*.f64 y y)) |
(*.f64 y (*.f64 x y)) |
(*.f64 (fabs.f64 (*.f64 #s(literal 3 binary64) (neg.f64 y))) y) |
(*.f64 (fabs.f64 (*.f64 #s(literal 3 binary64) y)) y) |
(*.f64 (*.f64 #s(literal 3 binary64) (neg.f64 y)) (neg.f64 y)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) y) |
(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal 3 binary64))) |
(*.f64 (*.f64 y y) #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) (*.f64 y y)) |
(*.f64 y (fabs.f64 (*.f64 (neg.f64 y) #s(literal 3 binary64)))) |
(*.f64 y (fabs.f64 (*.f64 #s(literal 3 binary64) y))) |
(*.f64 y (*.f64 #s(literal 3 binary64) y)) |
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 9 binary64))) |
(fabs.f64 (neg.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)))) |
(fabs.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 y #s(literal 3/8 binary64)))) (neg.f64 (neg.f64 (pow.f64 y #s(literal 3/8 binary64))))) |
(*.f64 (pow.f64 (pow.f64 y #s(literal 13/8 binary64)) #s(literal 3/8 binary64)) (pow.f64 (pow.f64 y #s(literal 3/8 binary64)) #s(literal 3/8 binary64))) |
(*.f64 (pow.f64 (neg.f64 (neg.f64 y)) #s(literal 3/8 binary64)) (pow.f64 (neg.f64 (neg.f64 y)) #s(literal 3/8 binary64))) |
(*.f64 (pow.f64 (pow.f64 y #s(literal 5/8 binary64)) #s(literal 3/8 binary64)) (pow.f64 (pow.f64 y #s(literal 11/8 binary64)) #s(literal 3/8 binary64))) |
(*.f64 (pow.f64 (pow.f64 y #s(literal 3/4 binary64)) #s(literal 3/8 binary64)) (pow.f64 (pow.f64 y #s(literal 5/4 binary64)) #s(literal 3/8 binary64))) |
(*.f64 (pow.f64 (pow.f64 y #s(literal 5/4 binary64)) #s(literal 3/8 binary64)) (pow.f64 (pow.f64 y #s(literal 3/4 binary64)) #s(literal 3/8 binary64))) |
(*.f64 (pow.f64 (neg.f64 y) #s(literal 3/8 binary64)) (pow.f64 (neg.f64 y) #s(literal 3/8 binary64))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal 3/8 binary64))) (neg.f64 (pow.f64 y #s(literal 3/8 binary64)))) |
(*.f64 (pow.f64 y #s(literal 3/8 binary64)) (pow.f64 y #s(literal 3/8 binary64))) |
(pow.f64 (exp.f64 #s(literal 3/4 binary64)) (log.f64 y)) |
(pow.f64 (neg.f64 (pow.f64 y #s(literal 3/8 binary64))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 y #s(literal 3/8 binary64)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 y) #s(literal 3/4 binary64)) |
(pow.f64 (*.f64 y y) #s(literal 3/8 binary64)) |
(pow.f64 y #s(literal 3/4 binary64)) |
(/.f64 (-.f64 (*.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 3/4 binary64))) (cosh.f64 (*.f64 (log.f64 y) #s(literal 3/4 binary64)))) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/4 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/4 binary64))))) (-.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 3/4 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/4 binary64))))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 3/4 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/4 binary64))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 3/4 binary64))) (cosh.f64 (*.f64 (log.f64 y) #s(literal 3/4 binary64))) (-.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/4 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/4 binary64)))) (*.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 3/4 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/4 binary64))))))) |
(fabs.f64 (pow.f64 y #s(literal 3/4 binary64))) |
(exp.f64 (fma.f64 (log.f64 y) #s(literal 3/8 binary64) (*.f64 (log.f64 y) #s(literal 3/8 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 3/8 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 y #s(literal 3/8 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 3/8 binary64))) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 3/4 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 3/4 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/4 binary64)))) |
Compiled 15 552 to 2 161 computations (86.1% saved)
8 alts after pruning (3 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 505 | 3 | 508 |
| Fresh | 0 | 0 | 0 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 3 | 4 |
| Total | 509 | 8 | 517 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
| ✓ | 94.1% | (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
| 55.3% | #s(approx (- (/ (/ x y) y) 3) (/.f64 (/.f64 (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) x) x) y) (neg.f64 y)) x)) | |
| ✓ | 58.1% | #s(approx (- (/ (/ x y) y) 3) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) x) (*.f64 x (neg.f64 y))) (/.f64 x y))) |
| 44.4% | #s(approx (- (/ (/ x y) y) 3) (*.f64 (neg.f64 x) #s(approx (- (/ 3 x) (/ 1 (* y y))) (/.f64 (/.f64 #s(literal -1 binary64) y) y)))) | |
| ✓ | 51.5% | #s(approx (- (/ (/ x y) y) 3) (*.f64 (neg.f64 x) #s(approx (- (/ 3 x) (/ 1 (* y y))) (/.f64 #s(literal 3 binary64) x)))) |
| 50.6% | #s(approx (- (/ (/ x y) y) 3) (*.f64 #s(approx (/ (- (* (* y y) 3) x) (* x (neg y))) (/.f64 #s(literal 1 binary64) y)) (/.f64 x y))) | |
| ✓ | 51.5% | #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) |
Compiled 433 to 209 computations (51.7% saved)
| Inputs |
|---|
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) |
#s(approx (- (/ (/ x y) y) 3) (*.f64 (neg.f64 x) #s(approx (- (/ 3 x) (/ 1 (* y y))) (/.f64 #s(literal 3 binary64) x)))) |
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
#s(approx (- (/ (/ x y) y) 3) (*.f64 #s(approx (/ (- (* (* y y) 3) x) (* x (neg y))) (/.f64 #s(literal 1 binary64) y)) (/.f64 x y))) |
#s(approx (- (/ (/ x y) y) 3) (*.f64 (neg.f64 x) #s(approx (- (/ 3 x) (/ 1 (* y y))) (/.f64 (/.f64 #s(literal -1 binary64) y) y)))) |
#s(approx (- (/ (/ x y) y) 3) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 3 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y y))))) |
#s(approx (- (/ (/ x y) y) 3) (*.f64 (neg.f64 x) (/.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) x) (*.f64 (*.f64 y y) x)))) |
#s(approx (- (/ (/ x y) y) 3) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) x) (*.f64 x (neg.f64 y))) (/.f64 x y))) |
(-.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 x) y) y) (sqrt.f64 x)) #s(literal 3 binary64)) |
#s(approx (- (/ (/ x y) y) 3) (/.f64 (/.f64 (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) x) x) y) (neg.f64 y)) x)) |
(-.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (/.f64 (sqrt.f64 (/.f64 x y)) y)) #s(literal 3 binary64)) |
(-.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x y)) #s(literal 3 binary64)) |
(-.f64 (/.f64 x (sqrt.f64 (pow.f64 y #s(literal 4 binary64)))) #s(literal 3 binary64)) |
(-.f64 (sqrt.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))))) #s(literal 3 binary64)) |
(-.f64 (/.f64 (sqrt.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) y)) (sqrt.f64 y)) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 5/4 binary64))) (pow.f64 y #s(literal 3/4 binary64))) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 (/.f64 (/.f64 x y) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64))) (sqrt.f64 y)) #s(literal 3 binary64)) |
| Outputs |
|---|
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
5 calls:
| 7.0ms | (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
| 5.0ms | x |
| 5.0ms | y |
| 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 (- (/ (/ x y) y) 3) (*.f64 (neg.f64 x) #s(approx (- (/ 3 x) (/ 1 (* y y))) (/.f64 #s(literal 3 binary64) x)))) |
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
| Outputs |
|---|
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
5 calls:
| 6.0ms | y |
| 2.0ms | 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 |
|---|---|---|
| 94.1% | 1 | (*.f64 y y) |
| 94.1% | 1 | (/.f64 x (*.f64 y y)) |
| 94.1% | 1 | (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
| 94.1% | 1 | x |
| 94.1% | 1 | y |
Compiled 17 to 17 computations (0% saved)
Total -0.0b remaining (-0.1%)
Threshold costs -0b (-0.1%)
| Inputs |
|---|
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) |
#s(approx (- (/ (/ x y) y) 3) (*.f64 (neg.f64 x) #s(approx (- (/ 3 x) (/ 1 (* y y))) (/.f64 #s(literal 3 binary64) x)))) |
| Outputs |
|---|
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) |
5 calls:
| 2.0ms | (*.f64 y y) |
| 1.0ms | y |
| 1.0ms | x |
| 1.0ms | (/.f64 x (*.f64 y y)) |
| 1.0ms | (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.5% | 1 | (*.f64 y y) |
| 51.5% | 1 | x |
| 51.5% | 1 | (/.f64 x (*.f64 y y)) |
| 51.5% | 1 | (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
| 51.5% | 1 | y |
Compiled 17 to 17 computations (0% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 23 |
| 1 | 23 | 23 |
| 2 | 45 | 23 |
| 3 | 72 | 23 |
| 4 | 94 | 23 |
| 5 | 107 | 23 |
| 6 | 115 | 23 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) |
| Outputs |
|---|
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 15 |
| 0 | 9 | 15 |
| 1 | 34 | 15 |
| 2 | 210 | 15 |
| 3 | 3217 | 15 |
| 0 | 8736 | 15 |
| 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× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 38 to 27 computations (28.9% saved)
(abs y)
Compiled 102 to 78 computations (23.5% saved)
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