Details

sample75.0ms

Algorithm

intervals

Results

28.0ms	80×	body	10240	exit
16.0ms	360×	body	80	nan
14.0ms	256×	body	80	valid

simplify51.0ms

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

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))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
13×	`add-cube-cbrt`
11×	`unpow-prod-up`
9×	`prod-diff`
6×	`pow1` `unpow-prod-down` `sqrt-prod`
5×	`pow-unpow`
4×	`add-exp-log`
3×	`expm1-log1p-u` `pow-pow` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`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 → 63

Calls

3 calls:

5.0ms	(sin (pow (sqrt (atan2 b b)) (- b a)))
6.0ms	(pow (sqrt (atan2 b b)) (- b a))
2.0ms	(sqrt (atan2 b b))

series92.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(sin (pow (sqrt (atan2 b b)) (- b a)))
19.0ms	(pow (sqrt (atan2 b b)) (- b a))
10.0ms	(sqrt (atan2 b b))

simplify73.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 3 (67.0ms)

Iter	Nodes	Cost
0	255	514
1	714	433
2	2702	425
3	5002	408

prune154.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

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))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
30×	`*-un-lft-identity`
26×	`add-cube-cbrt`
24×	`sqrt-prod`
22×	`unpow-prod-up`
18×	`unpow-prod-down` `prod-diff`
12×	`pow1`
10×	`pow-unpow` `pow-pow` `sqrt-pow1`
6×	`add-exp-log` `pow1/2`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `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 → 118

Calls

4 calls:

7.0ms	(pow (sqrt (sqrt (atan2 b b))) (- b a))
7.0ms	(pow (sqrt (sqrt (atan2 b b))) (- b a))
1.0ms	(sqrt (atan2 b b))
2.0ms	(sqrt (atan2 b b))

series76.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(pow (sqrt (sqrt (atan2 b b))) (- b a))
27.0ms	(pow (sqrt (sqrt (atan2 b b))) (- b a))
10.0ms	(sqrt (atan2 b b))
11.0ms	(sqrt (atan2 b b))

simplify81.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 3 (71.0ms)

Iter	Nodes	Cost
0	264	1026
1	731	882
2	2885	870
3	5002	838

prune308.0ms

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

54×	`cbrt-prod`
51×	`unpow-prod-down`
41×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
37×	`add-cube-cbrt`
33×	`unpow-prod-up` `sqrt-prod`
27×	`prod-diff`
24×	`cube-prod`
9×	`pow1`
6×	`sqrt-pow1`
5×	`add-exp-log` `pow-unpow` `pow-pow`
4×	`expm1-log1p-u` `pow1/2` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `sqr-pow`
3×	`sub-neg`
2×	`rem-sqrt-square` `pow-sub`
1×	`cube-div` `cube-mult` `pow-to-exp` `cbrt-div` `pow1/3` `unpow3` `pow-exp` `sqrt-pow2` `rem-cbrt-cube` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 140

Calls

4 calls:

7.0ms	(pow (sqrt (sqrt (atan2 b b))) (- b a))
10.0ms	(cbrt (pow (pow (sqrt (sqrt (atan2 b b))) (- b a)) 3))
2.0ms	(sqrt (atan2 b b))
2.0ms	(sqrt (atan2 b b))

series80.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(pow (sqrt (sqrt (atan2 b b))) (- b a))
27.0ms	(cbrt (pow (pow (sqrt (sqrt (atan2 b b))) (- b a)) 3))
10.0ms	(sqrt (atan2 b b))
10.0ms	(sqrt (atan2 b b))

simplify45.0ms

Algorithm

egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	498	1436
1	1678	1241
2	5001	1232

prune354.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (pow (pow (sqrt (sqrt (atan2 b b))) (- b a)) 3/2))
1.0b	(sqrt (atan2 b b))
1.0b	(sqrt (atan2 b b))
1.0b	(sqrt (atan2 b b))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

33×	`unpow-prod-down`
28×	`cbrt-prod`
21×	`add-sqr-sqrt`
18×	`add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
11×	`unpow-prod-up`
9×	`prod-diff`
7×	`pow1`
4×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
2×	`sqr-pow`
1×	`sub-neg` `pow1/3`

Counts

4 → 83

Calls

4 calls:

8.0ms	(cbrt (pow (pow (sqrt (sqrt (atan2 b b))) (- b a)) 3/2))
2.0ms	(sqrt (atan2 b b))
2.0ms	(sqrt (atan2 b b))
2.0ms	(sqrt (atan2 b b))

series79.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(cbrt (pow (pow (sqrt (sqrt (atan2 b b))) (- b a)) 3/2))
10.0ms	(sqrt (atan2 b b))
10.0ms	(sqrt (atan2 b b))
11.0ms	(sqrt (atan2 b b))

simplify68.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 3 (60.0ms)

Iter	Nodes	Cost
0	361	785
1	779	700
2	2494	693
3	5001	669

prune328.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

regimes39.0ms

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	23	39
1	23	39

end0.0ms

sample2.0s

Algorithm

intervals

Results

806.0ms	1824×	body	10240	exit
446.0ms	7990×	body	80	valid
374.0ms	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