Details

Time bar (total: 4.2s)

sample113.0ms

Algorithm
intervals
Results
57.0ms58×body5120exit
23.0ms256×body80valid
17.0ms291×body80nan

simplify52.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0135
1225
2445
31145
43155
516095
650015

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

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(pow (sqrt (atan2 b b)) (- b a))
1.0b
(sqrt (atan2 b b))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
*-un-lft-identity
add-cube-cbrt unpow-prod-down sqrt-prod
pow1 pow-unpow
add-exp-log pow-pow
unpow-prod-up sqrt-pow1 pow1/2 add-cbrt-cube add-log-exp
pow-to-exp sub-neg rem-sqrt-square pow-exp sqrt-pow2 distribute-lft-out-- pow-sub difference-of-squares sqr-pow
Counts
2 → 41
Calls
2 calls:
5.0ms
(pow (sqrt (atan2 b b)) (- b a))
1.0ms
(sqrt (atan2 b b))

series29.0ms

Counts
2 → 6
Calls
2 calls:
19.0ms
(pow (sqrt (atan2 b b)) (- b a))
10.0ms
(sqrt (atan2 b b))

simplify39.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 3 (35.0ms)

IterNodesCost
0120239
1357224
21225224
35001222

prune86.0ms

Filtered
47 candidates to 28 candidates (59.6%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New45247
Fresh000
Picked101
Done000
Total46248

Merged error: 0.0b

Counts
48 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(pow (sqrt (sqrt (atan2 b b))) (- b a))
0.0b
(pow (sqrt (sqrt (atan2 b b))) (- b a))
1.0b
(sqrt (atan2 b b))
1.0b
(sqrt (atan2 b b))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
24×sqrt-prod
20×add-sqr-sqrt
18×unpow-prod-down *-un-lft-identity
14×add-cube-cbrt
12×pow1
10×pow-unpow pow-pow sqrt-pow1
add-exp-log pow1/2
unpow-prod-up add-cbrt-cube add-log-exp
pow-to-exp sub-neg rem-sqrt-square pow-exp sqrt-pow2 distribute-lft-out-- pow-sub difference-of-squares sqr-pow
Counts
4 → 92
Calls
4 calls:
6.0ms
(pow (sqrt (sqrt (atan2 b b))) (- b a))
6.0ms
(pow (sqrt (sqrt (atan2 b b))) (- b a))
1.0ms
(sqrt (atan2 b b))
2.0ms
(sqrt (atan2 b b))

series76.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(pow (sqrt (sqrt (atan2 b b))) (- b a))
30.0ms
(pow (sqrt (sqrt (atan2 b b))) (- b a))
10.0ms
(sqrt (atan2 b b))
10.0ms
(sqrt (atan2 b b))

simplify52.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 3 (44.0ms)

IterNodesCost
0160630
1454596
21640588
35002584

prune207.0ms

Filtered
104 candidates to 62 candidates (59.6%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1040104
Fresh011
Picked011
Done000
Total1042106

Merged error: 0.0b

Counts
106 → 2

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b
(pow (atan2 b b) (* 1/2 (- b a)))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
unpow-prod-up
unpow-prod-down
pow1 add-exp-log distribute-rgt-in add-sqr-sqrt add-cube-cbrt sub-neg *-un-lft-identity distribute-lft-in
pow-to-exp pow-unpow pow-pow pow-exp add-cbrt-cube add-log-exp sqr-pow
Counts
1 → 19
Calls
1 calls:
3.0ms
(pow (atan2 b b) (* 1/2 (- b a)))

series20.0ms

Counts
1 → 3
Calls
1 calls:
19.0ms
(pow (atan2 b b) (* 1/2 (- b a)))

simplify48.0ms

Algorithm
egg-herbie
Counts
22 → 22
Iterations

Useful iterations: 3 (45.0ms)

IterNodesCost
0109147
1352138
21519134
35002127

prune34.0ms

Filtered
22 candidates to 13 candidates (59.1%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New22022
Fresh000
Picked011
Done011
Total22224

Merged error: 0.0b

Counts
24 → 2

regimes28.0ms

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
0912

end0.0ms

sample3.4s

Algorithm
intervals
Results
1.8s1758×body5120exit
640.0ms7995×body80valid
567.0ms9611×body80nan
4.0msbody5120valid
1.0msbody1280valid
0.0msbody160valid
0.0msbody320valid

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