Details

sample125.0ms

Algorithm

intervals

Results

65.0ms	63×	body	5120	exit
23.0ms	255×	body	80	valid
20.0ms	347×	body	80	nan
0.0ms	1×	body	320	valid

simplify51.0ms

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

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.2b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(pow (sqrt (atan2 b b)) (- b a))
0.2b	(sin (pow (sqrt (atan2 b b)) (- b a)))
1.0b	(sqrt (atan2 b b))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
9×	`*-un-lft-identity`
7×	`add-cube-cbrt`
6×	`pow1` `unpow-prod-down` `sqrt-prod`
5×	`pow-unpow`
4×	`add-exp-log`
3×	`pow-pow` `add-cbrt-cube` `add-log-exp`
2×	`unpow-prod-up` `sqrt-pow1` `pow1/2`
1×	`pow-to-exp` `sub-neg` `rem-sqrt-square` `pow-exp` `sqrt-pow2` `distribute-lft-out--` `pow-sub` `difference-of-squares` `sqr-pow`

Counts

3 → 48

Calls

3 calls:

5.0ms	(pow (sqrt (atan2 b b)) (- b a))
4.0ms	(sin (pow (sqrt (atan2 b b)) (- b a)))
1.0ms	(sqrt (atan2 b b))

series93.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(pow (sqrt (atan2 b b)) (- b a))
62.0ms	(sin (pow (sqrt (atan2 b b)) (- b a)))
11.0ms	(sqrt (atan2 b b))

simplify46.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 3 (41.0ms)

Iter	Nodes	Cost
0	148	324
1	412	298
2	1346	292
3	5001	290

prune107.0ms

Filtered

57 candidates to 36 candidates (63.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	55	2	57
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	56	2	58

Merged error: 0.2b

Counts

58 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

1.0b	(sqrt (atan2 b b))
1.0b	(sqrt (atan2 b b))
1.0b	(sqrt (atan2 b b))
1.0b	(* (cbrt (sqrt (atan2 b b))) (cbrt (sqrt (atan2 b b))))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
40×	`cbrt-prod`
29×	`sqrt-prod`
19×	`add-cube-cbrt` `*-un-lft-identity`
14×	`pow1`
11×	`swap-sqr`
9×	`associate-r` `associate-l` `unswap-sqr`
6×	`add-exp-log` `pow1/3`
4×	`add-cbrt-cube` `add-log-exp`
3×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

1.0ms	(sqrt (atan2 b b))
1.0ms	(sqrt (atan2 b b))
1.0ms	(sqrt (atan2 b b))
8.0ms	(* (cbrt (sqrt (atan2 b b))) (cbrt (sqrt (atan2 b b))))

series139.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(sqrt (atan2 b b))
10.0ms	(sqrt (atan2 b b))
10.0ms	(sqrt (atan2 b b))
109.0ms	(* (cbrt (sqrt (atan2 b b))) (cbrt (sqrt (atan2 b b))))

simplify123.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 4 (109.0ms)

Iter	Nodes	Cost
0	99	708
1	349	669
2	1184	617
3	3417	580
4	5001	564

prune213.0ms

Filtered

107 candidates to 59 candidates (55.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	107	2	109

Merged error: 0.2b

Counts

109 → 2

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(pow (log (exp (sqrt (atan2 b b)))) (- b a))
0.2b	(sin (pow (log (exp (sqrt (atan2 b b)))) (- b a)))
1.0b	(sqrt (atan2 b b))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
10×	`unpow-prod-down` `*-un-lft-identity`
8×	`add-cube-cbrt`
7×	`log-pow`
6×	`pow1` `exp-prod` `sqrt-prod`
5×	`pow-unpow`
4×	`add-exp-log`
3×	`add-cbrt-cube` `add-log-exp`
2×	`unpow-prod-up`
1×	`pow-to-exp` `sub-neg` `rem-sqrt-square` `pow-pow` `sqrt-pow1` `pow1/2` `pow-exp` `distribute-lft-out--` `pow-sub` `difference-of-squares` `sqr-pow`

Counts

3 → 49

Calls

3 calls:

6.0ms	(pow (log (exp (sqrt (atan2 b b)))) (- b a))
5.0ms	(sin (pow (log (exp (sqrt (atan2 b b)))) (- b a)))
1.0ms	(sqrt (atan2 b b))

series90.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(pow (log (exp (sqrt (atan2 b b)))) (- b a))
61.0ms	(sin (pow (log (exp (sqrt (atan2 b b)))) (- b a)))
10.0ms	(sqrt (atan2 b b))

simplify44.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 3 (39.0ms)

Iter	Nodes	Cost
0	179	416
1	454	374
2	1379	364
3	5002	358

prune122.0ms

Filtered

58 candidates to 39 candidates (67.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	58	2	60

Merged error: 0.2b

Counts

60 → 2

regimes27.0ms

Accuracy

0% (0.0b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	14
1	11	14

end0.0ms

sample3.2s

Algorithm

intervals

Results

1.7s	1704×	body	5120	exit
613.0ms	7987×	body	80	valid
545.0ms	9664×	body	80	nan
2.0ms	2×	body	2560	valid
2.0ms	4×	body	640	valid
1.0ms	4×	body	160	valid
1.0ms	1×	body	1280	valid
1.0ms	2×	body	320	valid

Details

sample125.0ms

simplify51.0ms

prune2.0ms

localize8.0ms

rewrite11.0ms

series93.0ms

simplify46.0ms

prune107.0ms

localize12.0ms

rewrite15.0ms

series139.0ms

simplify123.0ms

prune213.0ms

localize12.0ms

rewrite13.0ms

series90.0ms

simplify44.0ms

prune122.0ms

regimes27.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample3.2s

Profiling