Details

Time bar (total: 2.0s)

sample34.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
9.0ms235×body80nan

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
073
1113
2133
3133

prune2.0ms

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

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite6.0ms

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:
5.0ms
(sqrt (- 1.0 (* x x)))

series84.0ms

Counts
1 → 3
Calls
1 calls:
84.0ms
(sqrt (- 1.0 (* x x)))

simplify88.0ms

Algorithm
egg-herbie
Counts
21 → 21
Iterations

Useful iterations: 3 (85.0ms)

IterNodesCost
0165131
1568128
22782126
35001123

prune43.0ms

Filtered
21 candidates to 18 candidates (85.7%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New19221
Fresh000
Picked101
Done000
Total20222

Merged error: 0b

Counts
22 → 2

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-cube-cbrt *-un-lft-identity sqrt-prod log1p-expm1-u
3×add-exp-log expm1-log1p-u add-cbrt-cube 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 (expm1 (sqrt (- 1.0 (* x x)))))
3.0ms
(sqrt (- 1.0 (* x x)))
1.0ms
(expm1 (sqrt (- 1.0 (* x x))))

series333.0ms

Counts
3 → 9
Calls
3 calls:
190.0ms
(log1p (expm1 (sqrt (- 1.0 (* x x)))))
59.0ms
(sqrt (- 1.0 (* x x)))
84.0ms
(expm1 (sqrt (- 1.0 (* x x))))

simplify120.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 3 (115.0ms)

IterNodesCost
0241294
1852280
24208272
35001270

prune95.0ms

Filtered
49 candidates to 39 candidates (79.6%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New49049
Fresh011
Picked011
Done000
Total49251

Merged error: 0b

Counts
51 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite18.0ms

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)))
4.0ms
(pow (sqrt (- 1.0 (* x x))) 3)
7.0ms
(cbrt (pow (sqrt (- 1.0 (* x x))) 3))

series346.0ms

Counts
3 → 9
Calls
3 calls:
70.0ms
(sqrt (- 1.0 (* x x)))
184.0ms
(pow (sqrt (- 1.0 (* x x))) 3)
92.0ms
(cbrt (pow (sqrt (- 1.0 (* x x))) 3))

simplify54.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0354613
11359589
25001573

prune140.0ms

Filtered
98 candidates to 59 candidates (60.2%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New98098
Fresh000
Picked011
Done011
Total982100

Merged error: 0b

Counts
100 → 2

regimes43.0ms

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
075

end0.0ms

sample538.0ms

Algorithm
intervals
Results
182.0ms8000×body80valid
181.0ms8031×body80nan