Details

Time bar (total: 1.7s)

sample20.0ms

Algorithm
intervals
Results
6.0ms256×body80valid
5.0ms235×body80nan

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
073
1113
2113

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

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt sqrt-prod
pow1 add-cube-cbrt *-un-lft-identity sqrt-div
add-exp-log rem-sqrt-square flip3-- sqrt-pow1 pow1/2 add-cbrt-cube flip-- add-log-exp difference-of-squares
Counts
1 → 16
Calls
1 calls:
3.0ms
(sqrt (- 1.0 (* x x)))

series65.0ms

Counts
1 → 3
Calls
1 calls:
65.0ms
(sqrt (- 1.0 (* x x)))

simplify83.0ms

Algorithm
egg-herbie
Counts
19 → 19
Iterations

Useful iterations: 3 (80.0ms)

IterNodesCost
0157124
1534121
22617120
35002119

prune40.0ms

Filtered
19 candidates to 16 candidates (84.2%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New17219
Fresh000
Picked101
Done000
Total18220

Merged error: 0b

Counts
20 → 2

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
14×exp-prod
13×add-sqr-sqrt
12×sqrt-prod
add-cube-cbrt *-un-lft-identity
log-pow
pow1
add-log-exp
add-exp-log log-prod add-cbrt-cube difference-of-squares
sqrt-div
rem-sqrt-square flip3-- sqrt-pow1 pow1/2 rem-log-exp flip-- rem-exp-log
Counts
3 → 50
Calls
3 calls:
3.0ms
(exp (sqrt (- 1.0 (* x x))))
2.0ms
(sqrt (- 1.0 (* x x)))
4.0ms
(log (exp (sqrt (- 1.0 (* x x)))))

series188.0ms

Counts
3 → 9
Calls
3 calls:
67.0ms
(exp (sqrt (- 1.0 (* x x))))
59.0ms
(sqrt (- 1.0 (* x x)))
62.0ms
(log (exp (sqrt (- 1.0 (* x x)))))

simplify120.0ms

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 3 (114.0ms)

IterNodesCost
0239379
1807359
24049349
35002345

prune105.0ms

Filtered
59 candidates to 45 candidates (76.3%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New59059
Fresh011
Picked011
Done000
Total59261

Merged error: 0b

Counts
61 → 2

localize6.0ms

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))

rewrite14.0ms

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
pow1 sqrt-div
difference-of-squares
add-exp-log cube-div add-cbrt-cube
pow-unpow flip3-- pow-pow flip-- add-log-exp
cube-mult cbrt-div sqrt-pow1 pow1/2 unpow3 sqr-pow
pow-to-exp rem-sqrt-square pow1/3 pow-exp sqrt-pow2 rem-cbrt-cube rem-cube-cbrt
Counts
3 → 83
Calls
3 calls:
2.0ms
(sqrt (- 1.0 (* x x)))
4.0ms
(pow (sqrt (- 1.0 (* x x))) 3)
5.0ms
(cbrt (pow (sqrt (- 1.0 (* x x))) 3))

series277.0ms

Counts
3 → 9
Calls
3 calls:
57.0ms
(sqrt (- 1.0 (* x x)))
158.0ms
(pow (sqrt (- 1.0 (* x x))) 3)
61.0ms
(cbrt (pow (sqrt (- 1.0 (* x x))) 3))

simplify42.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0339591
11301568
25001552

prune123.0ms

Filtered
92 candidates to 53 candidates (57.6%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New92092
Fresh000
Picked011
Done011
Total92294

Merged error: 0b

Counts
94 → 2

regimes40.0ms

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

sample542.0ms

Algorithm
intervals
Results
188.0ms8000×body80valid
177.0ms8031×body80nan