Details

sample65.0ms

Algorithm

intervals

Results

20.0ms	53×	body	10240	exit
16.0ms	360×	body	80	nan
14.0ms	256×	body	80	valid

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	321	5
5	1627	5
6	5001	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

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))

series68.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(sin (pow (sqrt (atan2 b b)) (- b a)))
10.0ms	(sqrt (atan2 b b))

simplify66.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 6 (63.0ms)

Iter	Nodes	Cost
0	65	150
1	112	137
2	200	132
3	372	131
4	681	131
5	2254	131
6	5001	130

prune80.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
6×	`sqrt-prod`
5×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
3×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

3 → 39

Calls

3 calls:

6.0ms	(sin (pow (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))) (- b a)))
1.0ms	(sqrt (atan2 b b))
1.0ms	(sqrt (atan2 b b))

series79.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(sin (pow (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))) (- b a)))
13.0ms	(sqrt (atan2 b b))
10.0ms	(sqrt (atan2 b b))

simplify54.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 3 (10.0ms)

Iter	Nodes	Cost
0	70	263
1	140	234
2	274	229
3	680	228
4	1752	228
5	5001	228

prune146.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`pow1`
6×	`exp-prod` `sqrt-prod`
5×	`add-log-exp`
4×	`add-exp-log` `expm1-log1p-u` `log-pow` `add-cbrt-cube` `log1p-expm1-u`
3×	`log-prod`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
1×	`rem-log-exp` `rem-exp-log`

Counts

4 → 60

Calls

4 calls:

11.0ms	(exp (sin (pow (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))) (- b a))))
13.0ms	(log (exp (sin (pow (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))) (- b a)))))
1.0ms	(sqrt (atan2 b b))
1.0ms	(sqrt (atan2 b b))

series163.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(exp (sin (pow (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))) (- b a))))
62.0ms	(log (exp (sin (pow (* (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b)))) (- b a)))))
10.0ms	(sqrt (atan2 b b))
10.0ms	(sqrt (atan2 b b))

simplify122.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 4 (47.0ms)

Iter	Nodes	Cost
0	125	584
1	263	511
2	608	505
3	1749	495
4	4703	494
5	5001	494

prune228.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	9	10

end0.0ms

sample2.1s

Algorithm

intervals

Results

799.0ms	1826×	body	10240	exit
450.0ms	9797×	body	80	nan
445.0ms	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