Details

Time bar (total: 3.3s)

sample64.0ms

Algorithm
intervals
Results
20.0ms53×body10240exit
16.0ms360×body80nan
13.0ms256×body80valid

simplify51.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0135
1225
2445
31145
43215
516275
650015

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
4×add-sqr-sqrt
3×pow1 add-cube-cbrt *-un-lft-identity sqrt-prod
2×add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
1×rem-sqrt-square sqrt-pow1 pow1/2
Counts
2 → 24
Calls
2 calls:
6.0ms
(sin (pow (sqrt (atan2 b b)) (- b a)))
1.0ms
(sqrt (atan2 b b))

series72.0ms

Counts
2 → 6
Calls
2 calls:
62.0ms
(sin (pow (sqrt (atan2 b b)) (- b a)))
10.0ms
(sqrt (atan2 b b))

simplify65.0ms

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 6 (62.0ms)

IterNodesCost
065150
1112137
2200132
3372131
4681131
52254131
65001130

prune80.0ms

Filtered
30 candidates to 22 candidates (73.3%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(sin (pow (log (exp (sqrt (atan2 b b)))) (- b a)))
1.0b
(sqrt (atan2 b b))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
4×add-sqr-sqrt
3×pow1 add-cube-cbrt *-un-lft-identity sqrt-prod
2×add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
1×rem-sqrt-square sqrt-pow1 pow1/2
Counts
2 → 24
Calls
2 calls:
11.0ms
(sin (pow (log (exp (sqrt (atan2 b b)))) (- b a)))
1.0ms
(sqrt (atan2 b b))

series71.0ms

Counts
2 → 6
Calls
2 calls:
61.0ms
(sin (pow (log (exp (sqrt (atan2 b b)))) (- b a)))
10.0ms
(sqrt (atan2 b b))

simplify67.0ms

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 6 (64.0ms)

IterNodesCost
070174
1127155
2215150
3387149
4696149
52269149
65001148

prune97.0ms

Filtered
30 candidates to 23 candidates (76.7%)
Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(exp (sin (pow (log (exp (sqrt (atan2 b b)))) (- b a))))
0.0b
(sin (pow (log (exp (sqrt (atan2 b b)))) (- b a)))
0.3b
(log (exp (sin (pow (log (exp (sqrt (atan2 b b)))) (- b a)))))
1.0b
(sqrt (atan2 b b))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
6×pow1 exp-prod
5×add-log-exp
4×add-exp-log expm1-log1p-u log-pow add-cbrt-cube log1p-expm1-u
3×log-prod sqrt-prod
1×rem-sqrt-square sqrt-pow1 pow1/2 rem-log-exp rem-exp-log
Counts
4 → 54
Calls
4 calls:
28.0ms
(exp (sin (pow (log (exp (sqrt (atan2 b b)))) (- b a))))
11.0ms
(sin (pow (log (exp (sqrt (atan2 b b)))) (- b a)))
30.0ms
(log (exp (sin (pow (log (exp (sqrt (atan2 b b)))) (- b a)))))
1.0ms
(sqrt (atan2 b b))

series216.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(exp (sin (pow (log (exp (sqrt (atan2 b b)))) (- b a))))
61.0ms
(sin (pow (log (exp (sqrt (atan2 b b)))) (- b a)))
58.0ms
(log (exp (sin (pow (log (exp (sqrt (atan2 b b)))) (- b a)))))
10.0ms
(sqrt (atan2 b b))

simplify117.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 4 (30.0ms)

IterNodesCost
0131541
1258476
2529465
31069454
41723453
54286453
65001453

prune227.0ms

Filtered
66 candidates to 52 candidates (78.8%)
Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes31.0ms

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
097

end0.0ms

sample2.1s

Algorithm
intervals
Results
782.0ms1826×body10240exit
460.0ms9797×body80nan
446.0ms7990×body80valid
6.0ms2×body5120valid
1.0ms1×body2560valid
1.0ms2×body1280valid
1.0ms3×body640valid
0.0ms2×body160valid