Details

Time bar (total: 4.1s)

sample74.0ms

Algorithm
intervals
Results
17.0ms81×body2560nan
16.0ms501×body80nan
10.0ms256×body80valid
10.0ms63×body1280nan
3.0ms27×body640nan
2.0ms21×body320nan
1.0msbody160nan

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: 34.9b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(log (+ x (sqrt (- (* x x) 1.0))))
0.0b
(+ x (sqrt (- (* x x) 1.0)))
32.4b
(sqrt (- (* x x) 1.0))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity
add-sqr-sqrt
pow1 add-cube-cbrt add-log-exp
add-exp-log log-prod sqrt-prod
add-cbrt-cube
log-div flip3-+ sqrt-div flip-+ distribute-lft-out
+-commutative rem-sqrt-square flip3-- sqrt-pow1 pow1/2 rem-log-exp sum-log log-pow flip-- difference-of-squares
Counts
3 → 43
Calls
3 calls:
6.0ms
(log (+ x (sqrt (- (* x x) 1.0))))
6.0ms
(+ x (sqrt (- (* x x) 1.0)))
4.0ms
(sqrt (- (* x x) 1.0))

series315.0ms

Counts
3 → 9
Calls
3 calls:
192.0ms
(log (+ x (sqrt (- (* x x) 1.0))))
69.0ms
(+ x (sqrt (- (* x x) 1.0)))
54.0ms
(sqrt (- (* x x) 1.0))

simplify137.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 3 (131.0ms)

IterNodesCost
0316408
11042379
24663366
35001365

prune108.0ms

Filtered
52 candidates to 43 candidates (82.7%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New51152
Fresh000
Picked011
Done000
Total51253

Merged error: 0b

Counts
53 → 2

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
15×sqrt-prod
12×*-un-lft-identity sqrt-div
associate-*r*
pow1 add-cube-cbrt
associate-*l*
add-exp-log
flip3-+ add-cbrt-cube flip-+ add-log-exp
frac-times unswap-sqr
log-prod flip3-- pow-prod-down flip--
log-div sqrt-pow1 pow1/2 associate-*r/ associate-*l/ difference-of-squares
+-commutative sqrt-unprod rem-log-exp prod-exp sum-log log-pow *-commutative cbrt-unprod distribute-lft-out distribute-lft-out--
Counts
3 → 67
Calls
3 calls:
2.0ms
(log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))
2.0ms
(+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))
12.0ms
(* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))

series638.0ms

Counts
3 → 9
Calls
3 calls:
292.0ms
(log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))
150.0ms
(+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))
196.0ms
(* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))

simplify46.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0440941
11553864
25001847

prune169.0ms

Filtered
76 candidates to 58 candidates (76.3%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New76076
Fresh000
Picked011
Done011
Total76278

Merged error: 0b

Counts
78 → 2

regimes42.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0139
1139

end0.0ms

sample2.5s

Algorithm
intervals
Results
582.0ms3100×body2560nan
539.0ms16907×body80nan
397.0ms2568×body1280nan
310.0ms8000×body80valid
161.0ms1287×body640nan
59.0ms644×body320nan
20.0ms303×body160nan

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