Details

sample332.0ms

Algorithm

intervals

Results

36.0ms	66×	body	10240	exit
17.0ms	256×	body	80	valid
15.0ms	314×	body	80	nan

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

localize11.0ms

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))

series87.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(sin (pow (sqrt (atan2 b b)) (- b a)))
27.0ms	(sqrt (atan2 b b))

simplify68.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 6 (65.0ms)

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 (1 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (sin (pow (sqrt (atan2 b b)) (- b a)))) (cbrt (sin (pow (sqrt (atan2 b b)) (- b a)))))
1.0b	(sqrt (atan2 b b))
1.0b	(sqrt (atan2 b b))
1.0b	(sqrt (atan2 b b))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
16×	`cbrt-prod`
15×	`add-cube-cbrt` `*-un-lft-identity`
14×	`pow1`
9×	`sqrt-prod`
6×	`add-exp-log` `pow1/3` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
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 → 87

Calls

4 calls:

27.0ms	(* (cbrt (sin (pow (sqrt (atan2 b b)) (- b a)))) (cbrt (sin (pow (sqrt (atan2 b b)) (- b a)))))
1.0ms	(sqrt (atan2 b b))
1.0ms	(sqrt (atan2 b b))
1.0ms	(sqrt (atan2 b b))

series193.0ms

Counts

4 → 12

Calls

4 calls:

163.0ms	(* (cbrt (sin (pow (sqrt (atan2 b b)) (- b a)))) (cbrt (sin (pow (sqrt (atan2 b b)) (- b a)))))
10.0ms	(sqrt (atan2 b b))
10.0ms	(sqrt (atan2 b b))
10.0ms	(sqrt (atan2 b b))

simplify116.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (108.0ms)

Iter	Nodes	Cost
0	161	811
1	557	750
2	2960	678
3	5001	664

prune273.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes72.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	5

end0.0ms

sample2.3s

Algorithm

intervals

Results

897.0ms	1834×	body	10240	exit
545.0ms	7983×	body	80	valid
465.0ms	9759×	body	80	nan
3.0ms	1×	body	5120	valid
3.0ms	4×	body	1280	valid
2.0ms	4×	body	640	valid
1.0ms	5×	body	160	valid
1.0ms	3×	body	320	valid