Details

Time bar (total: 4.1s)

sample114.0ms

Algorithm
intervals
Results
35.0ms193×body2560nan
23.0ms138×body1280nan
10.0ms256×body80valid
10.0ms82×body640nan
9.0ms258×body80nan
4.0ms46×body320nan
1.0ms12×body160nan

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 (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 32.4b

Counts
2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

30.2b
(sqrt (- (* x x) 1.0))

rewrite4.0ms

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:
4.0ms
(sqrt (- (* x x) 1.0))

series4.0ms

Counts
1 → 3
Calls
1 calls:
4.0ms
(sqrt (- (* x x) 1.0))

simplify57.0ms

Algorithm
egg-herbie
Counts
19 → 19
Iterations

Useful iterations: 3 (55.0ms)

IterNodesCost
0142113
1438111
21809109
35001108

prune37.0ms

Filtered
19 candidates to 16 candidates (15.8%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New18119
Fresh000
Picked011
Done000
Total18220

Merged error: 0b

Counts
20 → 2

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(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
19×sqrt-prod
14×sqrt-div
13×*-un-lft-identity
associate-*r*
pow1 add-cube-cbrt associate-*l*
add-exp-log frac-times flip3-+ add-cbrt-cube flip-+ unswap-sqr
flip3-- sqrt-pow1 pow1/2 pow-prod-down flip--
associate-*r/ associate-*l/ distribute-lft-out add-log-exp difference-of-squares
rem-sqrt-square sqrt-unprod prod-exp *-commutative cbrt-unprod distribute-lft-out--
Counts
2 → 58
Calls
2 calls:
4.0ms
(sqrt (+ x (sqrt 1.0)))
13.0ms
(* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))

series15.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(sqrt (+ x (sqrt 1.0)))
11.0ms
(* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))

simplify37.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0345613
11322595
25002588

prune132.0ms

Filtered
64 candidates to 46 candidates (28.1%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New64064
Fresh000
Picked011
Done011
Total64266

Merged error: 0b

Counts
66 → 2

regimes78.0ms

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 (1.0ms)

IterNodesCost
0139
1139

end0.0ms

sample3.5s

Algorithm
intervals
Results
1.1s5962×body2560nan
761.0ms4899×body1280nan
324.0ms8000×body80valid
302.0ms2457×body640nan
299.0ms8445×body80nan
114.0ms1226×body320nan
42.0ms617×body160nan

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