Details

Time bar (total: 1.9s)

sample19.0ms

Algorithm
intervals
Results
6.0ms256×body80valid
5.0ms250×body80nan

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
073
1113
2133
3133

prune1.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b
(sqrt (- 1.0 (* x x)))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
4×add-sqr-sqrt sqrt-prod
2×pow1 add-cube-cbrt *-un-lft-identity sqrt-div
1×add-exp-log expm1-log1p-u rem-sqrt-square flip3-- sqrt-pow1 pow1/2 add-cbrt-cube flip-- log1p-expm1-u add-log-exp difference-of-squares
Counts
1 → 18
Calls
1 calls:
3.0ms
(sqrt (- 1.0 (* x x)))

series57.0ms

Counts
1 → 3
Calls
1 calls:
57.0ms
(sqrt (- 1.0 (* x x)))

simplify81.0ms

Algorithm
egg-herbie
Counts
21 → 21
Iterations

Useful iterations: 3 (78.0ms)

IterNodesCost
0165131
1568128
22782126
35001123

prune41.0ms

Filtered
21 candidates to 18 candidates (85.7%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New19221
Fresh000
Picked011
Done000
Total19322

Merged error: 0b

Counts
22 → 3

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(sqrt (- 1.0 (* x x)))
0.0b
(cbrt (pow (sqrt (- 1.0 (* x x))) 3))
0.0b
(pow (sqrt (- 1.0 (* x x))) 3)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
20×cbrt-prod add-sqr-sqrt sqrt-prod
14×add-cube-cbrt unpow-prod-down *-un-lft-identity cube-prod
6×pow1 sqrt-div
5×difference-of-squares
4×add-exp-log cube-div add-cbrt-cube
3×expm1-log1p-u pow-unpow flip3-- pow-pow flip-- log1p-expm1-u add-log-exp
2×cube-mult cbrt-div sqrt-pow1 pow1/2 unpow3 sqr-pow
1×pow-to-exp rem-sqrt-square pow1/3 pow-exp sqrt-pow2 rem-cbrt-cube rem-cube-cbrt
Counts
3 → 89
Calls
3 calls:
3.0ms
(sqrt (- 1.0 (* x x)))
5.0ms
(cbrt (pow (sqrt (- 1.0 (* x x))) 3))
5.0ms
(pow (sqrt (- 1.0 (* x x))) 3)

series265.0ms

Counts
3 → 9
Calls
3 calls:
57.0ms
(sqrt (- 1.0 (* x x)))
57.0ms
(cbrt (pow (sqrt (- 1.0 (* x x))) 3))
151.0ms
(pow (sqrt (- 1.0 (* x x))) 3)

simplify43.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0354613
11359589
25001573

prune134.0ms

Filtered
98 candidates to 58 candidates (59.2%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New98098
Fresh011
Picked011
Done011
Total983101

Merged error: 0b

Counts
101 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(log1p (sqrt (- 1.0 (* x x))))
0.0b
(sqrt (- 1.0 (* x x)))
0.0b
(expm1 (log1p (sqrt (- 1.0 (* x x)))))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 expm1-log1p-u add-cube-cbrt *-un-lft-identity sqrt-prod
3×add-exp-log add-cbrt-cube log1p-expm1-u add-log-exp
2×sqrt-div
1×rem-sqrt-square log1p-udef expm1-log1p flip3-- sqrt-pow1 pow1/2 log1p-expm1 flip-- expm1-udef difference-of-squares
Counts
3 → 40
Calls
3 calls:
1.0ms
(log1p (sqrt (- 1.0 (* x x))))
3.0ms
(sqrt (- 1.0 (* x x)))
1.0ms
(expm1 (log1p (sqrt (- 1.0 (* x x)))))

series486.0ms

Counts
3 → 9
Calls
3 calls:
197.0ms
(log1p (sqrt (- 1.0 (* x x))))
59.0ms
(sqrt (- 1.0 (* x x)))
229.0ms
(expm1 (log1p (sqrt (- 1.0 (* x x)))))

simplify35.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0334373
11275344
25001322

prune105.0ms

Filtered
49 candidates to 42 candidates (85.7%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New49049
Fresh000
Picked011
Done022
Total49352

Merged error: 0b

Counts
52 → 3

regimes47.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053

end0.0ms

sample536.0ms

Algorithm
intervals
Results
191.0ms8000×body80valid
173.0ms7921×body80nan