Details

sample322.0ms

Algorithm

intervals

Results

19.0ms	313×	body	80	nan
16.0ms	256×	body	80	valid
5.0ms	1×	body	10240	exit
3.0ms	56×	body	80	overflowed

simplify55.0ms

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

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))

rewrite14.0ms

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 (sqrt (atan2 b b)) (- b a)))
4.0ms	(sqrt (atan2 b b))

series86.0ms

Counts

2 → 6

Calls

2 calls:

68.0ms	(sin (pow (sqrt (atan2 b b)) (- b a)))
18.0ms	(sqrt (atan2 b b))

simplify66.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 6 (63.0ms)

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

prune67.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize16.0ms

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))

rewrite18.0ms

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:

16.0ms	(sin (pow (log (exp (sqrt (atan2 b b)))) (- b a)))
1.0ms	(sqrt (atan2 b b))

series66.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(sin (pow (log (exp (sqrt (atan2 b b)))) (- b a)))
10.0ms	(sqrt (atan2 b b))

simplify65.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 6 (63.0ms)

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

prune70.0ms

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	(sin (pow (sqrt (atan2 b b)) (- b a)))
0.0b	(cbrt (pow (sin (pow (sqrt (atan2 b b)) (- b a))) 3))
0.0b	(pow (sin (pow (sqrt (atan2 b b)) (- b a))) 3)
1.0b	(sqrt (atan2 b b))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod` `add-sqr-sqrt`
11×	`add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `unpow-prod-down` `cube-prod`
5×	`add-exp-log` `add-cbrt-cube`
4×	`add-log-exp`
3×	`pow-unpow` `sqrt-prod`
2×	`cube-mult` `unpow3` `sqr-pow`
1×	`pow-to-exp` `rem-sqrt-square` `pow-pow` `sqrt-pow1` `pow1/2` `pow1/3` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 64

Calls

4 calls:

16.0ms	(sin (pow (sqrt (atan2 b b)) (- b a)))
16.0ms	(cbrt (pow (sin (pow (sqrt (atan2 b b)) (- b a))) 3))
9.0ms	(pow (sin (pow (sqrt (atan2 b b)) (- b a))) 3)
1.0ms	(sqrt (atan2 b b))

series222.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(sin (pow (sqrt (atan2 b b)) (- b a)))
54.0ms	(cbrt (pow (sin (pow (sqrt (atan2 b b)) (- b a))) 3))
101.0ms	(pow (sin (pow (sqrt (atan2 b b)) (- b a))) 3)
9.0ms	(sqrt (atan2 b b))

simplify179.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	177	586
1	649	553
2	4194	531
3	5001	531

prune162.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes80.0ms

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

sample1.7s

Algorithm

intervals

Results

540.0ms	9761×	body	80	nan
494.0ms	7994×	body	80	valid
90.0ms	1814×	body	80	overflowed
77.0ms	32×	body	10240	exit
6.0ms	2×	body	5120	valid
1.0ms	3×	body	320	valid
1.0ms	1×	body	1280	valid