Details

sample73.0ms

Algorithm

intervals

Results

21.0ms	53×	body	10240	exit
18.0ms	256×	body	80	valid
17.0ms	360×	body	80	nan

simplify52.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	5
1	22	5
2	44	5
3	114	5
4	315	5
5	1609	5
6	5001	5

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt`
3×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
2×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

2 → 20

Calls

2 calls:

4.0ms	(sin (pow (sqrt (atan2 b b)) (- b a)))
1.0ms	(sqrt (atan2 b b))

series73.0ms

Counts

2 → 6

Calls

2 calls:

62.0ms	(sin (pow (sqrt (atan2 b b)) (- b a)))
11.0ms	(sqrt (atan2 b b))

simplify64.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 6 (61.0ms)

Iter	Nodes	Cost
0	60	132
1	102	120
2	172	114
3	291	114
4	566	114
5	2095	114
6	5002	113

prune65.0ms

Filtered

26 candidates to 18 candidates (69.2%)

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))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt`
3×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
2×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

2 → 20

Calls

2 calls:

9.0ms	(sin (pow (log (exp (sqrt (atan2 b b)))) (- b a)))
1.0ms	(sqrt (atan2 b b))

series72.0ms

Counts

2 → 6

Calls

2 calls:

62.0ms	(sin (pow (log (exp (sqrt (atan2 b b)))) (- b a)))
10.0ms	(sqrt (atan2 b b))

simplify64.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 6 (61.0ms)

Iter	Nodes	Cost
0	65	152
1	117	134
2	187	128
3	306	128
4	581	128
5	2110	128
6	5001	127

prune79.0ms

Filtered

26 candidates to 19 candidates (73.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize18.0ms

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))

rewrite56.0ms

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` `log-pow` `add-cbrt-cube`
3×	`log-prod` `sqrt-prod`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `rem-log-exp` `rem-exp-log`

Counts

4 → 46

Calls

4 calls:

21.0ms	(exp (sin (pow (log (exp (sqrt (atan2 b b)))) (- b a))))
9.0ms	(sin (pow (log (exp (sqrt (atan2 b b)))) (- b a)))
24.0ms	(log (exp (sin (pow (log (exp (sqrt (atan2 b b)))) (- b a)))))
1.0ms	(sqrt (atan2 b b))

series220.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(exp (sin (pow (log (exp (sqrt (atan2 b b)))) (- b a))))
61.0ms	(sin (pow (log (exp (sqrt (atan2 b b)))) (- b a)))
61.0ms	(log (exp (sin (pow (log (exp (sqrt (atan2 b b)))) (- b a)))))
10.0ms	(sqrt (atan2 b b))

simplify111.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 6 (106.0ms)

Iter	Nodes	Cost
0	122	485
1	238	422
2	450	410
3	787	405
4	1291	399
5	3678	399
6	5001	390

prune177.0ms

Filtered

58 candidates to 43 candidates (74.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes30.0ms

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)

Iter	Nodes	Cost
0	9	7

end0.0ms

sample2.1s

Algorithm

intervals

Results

818.0ms	1826×	body	10240	exit
471.0ms	9797×	body	80	nan
460.0ms	7990×	body	80	valid
6.0ms	2×	body	5120	valid
1.0ms	1×	body	2560	valid
1.0ms	2×	body	1280	valid
1.0ms	3×	body	640	valid
0.0ms	2×	body	160	valid