Details

sample319.0ms

Algorithm

intervals

Results

28.0ms	80×	body	10240	exit
16.0ms	256×	body	80	valid
13.0ms	360×	body	80	nan

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

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite16.0ms

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:

3.0ms	(sin (pow (sqrt (atan2 b b)) (- b a)))
5.0ms	(pow (sqrt (atan2 b b)) (- b a))
5.0ms	(sqrt (atan2 b b))

series106.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(sin (pow (sqrt (atan2 b b)) (- b a)))
22.0ms	(pow (sqrt (atan2 b b)) (- b a))
26.0ms	(sqrt (atan2 b b))

simplify48.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 3 (42.0ms)

Iter	Nodes	Cost
0	148	324
1	412	298
2	1345	292
3	5001	290

prune129.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

24×	`sqrt-prod`
20×	`add-sqr-sqrt`
18×	`unpow-prod-down` `*-un-lft-identity`
14×	`add-cube-cbrt`
12×	`pow1`
10×	`pow-unpow` `pow-pow` `sqrt-pow1`
6×	`add-exp-log` `pow1/2`
4×	`unpow-prod-up` `add-cbrt-cube` `add-log-exp`
2×	`pow-to-exp` `sub-neg` `rem-sqrt-square` `pow-exp` `sqrt-pow2` `distribute-lft-out--` `pow-sub` `difference-of-squares` `sqr-pow`

Counts

4 → 92

Calls

4 calls:

6.0ms	(pow (sqrt (sqrt (atan2 b b))) (- b a))
6.0ms	(pow (sqrt (sqrt (atan2 b b))) (- b a))
1.0ms	(sqrt (atan2 b b))
2.0ms	(sqrt (atan2 b b))

series79.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(pow (sqrt (sqrt (atan2 b b))) (- b a))
30.0ms	(pow (sqrt (sqrt (atan2 b b))) (- b a))
13.0ms	(sqrt (atan2 b b))
10.0ms	(sqrt (atan2 b b))

simplify52.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 3 (44.0ms)

Iter	Nodes	Cost
0	160	630
1	454	596
2	1640	588
3	5002	584

prune256.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (fabs (cbrt (atan2 b b))) (- b a))
0.1b	(pow (sqrt (cbrt (atan2 b b))) (- b a))
1.0b	(cbrt (atan2 b b))
1.0b	(cbrt (atan2 b b))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

4 calls:

4.0ms	(pow (fabs (cbrt (atan2 b b))) (- b a))
6.0ms	(pow (sqrt (cbrt (atan2 b b))) (- b a))
1.0ms	(cbrt (atan2 b b))
1.0ms	(cbrt (atan2 b b))

series260.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(pow (fabs (cbrt (atan2 b b))) (- b a))
27.0ms	(pow (sqrt (cbrt (atan2 b b))) (- b a))
100.0ms	(cbrt (atan2 b b))
104.0ms	(cbrt (atan2 b b))

simplify63.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 3 (57.0ms)

Iter	Nodes	Cost
0	230	564
1	683	528
2	2490	510
3	5001	498

prune262.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

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	12

end0.0ms

sample1.9s

Algorithm

intervals

Results

782.0ms	1824×	body	10240	exit
440.0ms	7990×	body	80	valid
355.0ms	9775×	body	80	nan
6.0ms	2×	body	5120	valid
1.0ms	1×	body	2560	valid
1.0ms	3×	body	320	valid
0.0ms	3×	body	160	valid
0.0ms	1×	body	640	valid