Details

Time bar (total: 3.3s)

sample72.0ms

Algorithm
intervals
Results
14.0ms462×body80nan
14.0ms76×body2560nan
12.0ms63×body1280nan
10.0ms256×body80valid
5.0ms42×body640nan
2.0ms23×body320nan
0.0msbody160nan

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0105
1115
2115

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: 29.4b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (sqrt (- (* x x) 1.0)))
27.4b
(sqrt (- (* x x) 1.0))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt *-un-lft-identity
sqrt-prod add-log-exp
pow1 add-cube-cbrt
add-exp-log sqrt-div add-cbrt-cube
+-commutative rem-sqrt-square flip3-- sqrt-pow1 flip3-+ pow1/2 sum-log flip-- flip-+ distribute-lft-out difference-of-squares
Counts
2 → 28
Calls
2 calls:
6.0ms
(+ x (sqrt (- (* x x) 1.0)))
4.0ms
(sqrt (- (* x x) 1.0))

series123.0ms

Counts
2 → 6
Calls
2 calls:
68.0ms
(+ x (sqrt (- (* x x) 1.0)))
55.0ms
(sqrt (- (* x x) 1.0))

simplify76.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 3 (72.0ms)

IterNodesCost
0217221
1657211
22555205
35001204

prune75.0ms

Filtered
34 candidates to 29 candidates (85.3%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New33134
Fresh000
Picked011
Done000
Total33235

Merged error: 0b

Counts
35 → 2

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))
0.5b
(* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
15×sqrt-prod
12×sqrt-div
10×*-un-lft-identity
associate-*r*
associate-*l*
pow1 add-cube-cbrt
add-exp-log frac-times flip3-+ add-cbrt-cube flip-+ add-log-exp unswap-sqr
flip3-- pow-prod-down flip--
sqrt-pow1 pow1/2 associate-*r/ associate-*l/ difference-of-squares
+-commutative sqrt-unprod prod-exp sum-log *-commutative cbrt-unprod distribute-lft-out distribute-lft-out--
Counts
2 → 53
Calls
2 calls:
3.0ms
(+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))
13.0ms
(* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))

series353.0ms

Counts
2 → 6
Calls
2 calls:
148.0ms
(+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))
205.0ms
(* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))

simplify39.0ms

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0360656
11271612
25002599

prune135.0ms

Filtered
59 candidates to 44 candidates (74.6%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New59059
Fresh000
Picked011
Done011
Total59261

Merged error: 0b

Counts
61 → 2

regimes45.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0139
1139

end0.0ms

sample2.3s

Algorithm
intervals
Results
535.0ms3021×body2560nan
510.0ms16033×body80nan
353.0ms2385×body1280nan
301.0ms8000×body80valid
146.0ms1202×body640nan
57.0ms624×body320nan
20.0ms318×body160nan

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