Details

sample321.0ms

Algorithm

intervals

Results

22.0ms	53×	body	10240	exit
16.0ms	360×	body	80	nan
16.0ms	256×	body	80	valid

simplify57.0ms

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

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)))
3.0ms	(sqrt (atan2 b b))

series92.0ms

Counts

2 → 6

Calls

2 calls:

74.0ms	(sin (pow (sqrt (atan2 b b)) (- b a)))
17.0ms	(sqrt (atan2 b b))

simplify67.0ms

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

prune82.0ms

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))

rewrite13.0ms

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))

series70.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(sin (pow (log (exp (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	70	174
1	127	155
2	215	150
3	387	149
4	696	149
5	2269	149
6	5001	148

prune91.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize14.0ms

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)))
29.0ms	(log (exp (sin (pow (log (exp (sqrt (atan2 b b)))) (- b a)))))
1.0ms	(sqrt (atan2 b b))

series214.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(exp (sin (pow (log (exp (sqrt (atan2 b b)))) (- b a))))
57.0ms	(sin (pow (log (exp (sqrt (atan2 b b)))) (- b a)))
60.0ms	(log (exp (sin (pow (log (exp (sqrt (atan2 b b)))) (- b a)))))
10.0ms	(sqrt (atan2 b b))

simplify116.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 4 (30.0ms)

Iter	Nodes	Cost
0	131	541
1	258	476
2	529	465
3	1069	454
4	1723	453
5	4286	453
6	5001	453

prune213.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes33.0ms

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

808.0ms	1826×	body	10240	exit
470.0ms	9797×	body	80	nan
436.0ms	7990×	body	80	valid
6.0ms	2×	body	5120	valid
1.0ms	2×	body	1280	valid
1.0ms	1×	body	2560	valid
1.0ms	3×	body	640	valid
0.0ms	2×	body	160	valid