Details

sample322.0ms

Algorithm

intervals

Results

28.0ms	56×	body	10240	exit
14.0ms	254×	body	80	valid
12.0ms	292×	body	80	nan
1.0ms	2×	body	320	valid

simplify64.0ms

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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.5b

Counts

2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

0.1b	(pow (sqrt (atan2 b b)) (- b a))
0.5b	(sin (pow (sqrt (atan2 b b)) (- b a)))
1.0b	(sqrt (atan2 b b))

rewrite14.0ms

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:

5.0ms	(pow (sqrt (atan2 b b)) (- b a))
4.0ms	(sin (pow (sqrt (atan2 b b)) (- b a)))
4.0ms	(sqrt (atan2 b b))

series114.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(pow (sqrt (atan2 b b)) (- b a))
63.0ms	(sin (pow (sqrt (atan2 b b)) (- b a)))
31.0ms	(sqrt (atan2 b b))

simplify54.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 3 (44.0ms)

Iter	Nodes	Cost
0	148	324
1	412	298
2	1346	292
3	5001	290

prune117.0ms

Filtered

57 candidates to 36 candidates (63.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	54	3	57
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	55	3	58

Merged error: 0.4b

Counts

58 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (sqrt (sqrt (atan2 b b))) (- b a))
0.5b	(sin (* (pow (sqrt (sqrt (atan2 b b))) (- b a)) (pow (sqrt (sqrt (atan2 b b))) (- b a))))
1.0b	(sqrt (atan2 b b))
1.0b	(sqrt (atan2 b b))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 66

Calls

4 calls:

6.0ms	(pow (sqrt (sqrt (atan2 b b))) (- b a))
3.0ms	(sin (* (pow (sqrt (sqrt (atan2 b b))) (- b a)) (pow (sqrt (sqrt (atan2 b b))) (- b a))))
1.0ms	(sqrt (atan2 b b))
2.0ms	(sqrt (atan2 b b))

series140.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(pow (sqrt (sqrt (atan2 b b))) (- b a))
91.0ms	(sin (* (pow (sqrt (sqrt (atan2 b b))) (- b a)) (pow (sqrt (sqrt (atan2 b b))) (- b a))))
11.0ms	(sqrt (atan2 b b))
11.0ms	(sqrt (atan2 b b))

simplify74.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	201	521
1	574	477
2	2332	466
3	5001	466

prune193.0ms

Filtered

78 candidates to 50 candidates (64.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	75	3	78
Fresh	0	2	2
Picked	1	0	1
Done	0	0	0
Total	76	5	81

Merged error: 0.4b

Counts

81 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(sin (* (pow (sqrt (sqrt (atan2 b b))) (- b a)) (exp (log (pow (sqrt (sqrt (atan2 b b))) (- b a))))))
1.0b	(sqrt (atan2 b b))
1.0b	(sqrt (atan2 b b))
3.5b	(log (pow (sqrt (sqrt (atan2 b b))) (- b a)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

15×	`log-prod` `sqrt-prod`
12×	`add-sqr-sqrt`
10×	`add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
6×	`pow1` `add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
3×	`rem-log-exp`
2×	`unpow-prod-up` `rem-sqrt-square` `sqrt-pow1` `pow1/2`
1×	`pow-to-exp` `sub-neg` `log-div` `pow-exp` `log-pow` `pow-sub` `sqr-pow`

Counts

4 → 60

Calls

4 calls:

4.0ms	(sin (* (pow (sqrt (sqrt (atan2 b b))) (- b a)) (exp (log (pow (sqrt (sqrt (atan2 b b))) (- b a))))))
1.0ms	(sqrt (atan2 b b))
1.0ms	(sqrt (atan2 b b))
5.0ms	(log (pow (sqrt (sqrt (atan2 b b))) (- b a)))

series196.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(sin (* (pow (sqrt (sqrt (atan2 b b))) (- b a)) (exp (log (pow (sqrt (sqrt (atan2 b b))) (- b a))))))
13.0ms	(sqrt (atan2 b b))
10.0ms	(sqrt (atan2 b b))
84.0ms	(log (pow (sqrt (sqrt (atan2 b b))) (- b a)))

simplify63.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	204	575
1	466	508
2	1757	499
3	5001	499

prune214.0ms

Filtered

72 candidates to 48 candidates (66.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	70	2	72
Fresh	0	4	4
Picked	1	0	1
Done	0	0	0
Total	71	6	77

Merged error: 0.4b

Counts

77 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(sin (* (pow (sqrt (sqrt (atan2 b b))) (- b a)) (exp (cbrt (pow (log (pow (sqrt (sqrt (atan2 b b))) (- b a))) 3)))))
1.0b	(sqrt (atan2 b b))
1.0b	(sqrt (atan2 b b))
3.5b	(log (pow (sqrt (sqrt (atan2 b b))) (- b a)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

15×	`log-prod` `sqrt-prod`
12×	`add-sqr-sqrt`
10×	`add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
6×	`pow1` `add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
3×	`rem-log-exp`
2×	`unpow-prod-up` `rem-sqrt-square` `sqrt-pow1` `pow1/2`
1×	`pow-to-exp` `sub-neg` `log-div` `pow-exp` `log-pow` `pow-sub` `sqr-pow`

Counts

4 → 60

Calls

4 calls:

3.0ms	(sin (* (pow (sqrt (sqrt (atan2 b b))) (- b a)) (exp (cbrt (pow (log (pow (sqrt (sqrt (atan2 b b))) (- b a))) 3)))))
1.0ms	(sqrt (atan2 b b))
2.0ms	(sqrt (atan2 b b))
5.0ms	(log (pow (sqrt (sqrt (atan2 b b))) (- b a)))

series192.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(sin (* (pow (sqrt (sqrt (atan2 b b))) (- b a)) (exp (cbrt (pow (log (pow (sqrt (sqrt (atan2 b b))) (- b a))) 3)))))
10.0ms	(sqrt (atan2 b b))
10.0ms	(sqrt (atan2 b b))
83.0ms	(log (pow (sqrt (sqrt (atan2 b b))) (- b a)))

simplify62.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	211	582
1	479	524
2	1807	515
3	5003	515

prune221.0ms

Filtered

72 candidates to 48 candidates (66.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	72	6	78

Merged error: 0.4b

Counts

78 → 6

regimes70.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	16
1	15	16

end0.0ms

sample2.0s

Algorithm

intervals

Results

852.0ms	1874×	body	10240	exit
462.0ms	7983×	body	80	valid
355.0ms	9665×	body	80	nan
17.0ms	6×	body	5120	valid
1.0ms	3×	body	640	valid
1.0ms	1×	body	2560	valid
1.0ms	4×	body	320	valid
1.0ms	1×	body	1280	valid
0.0ms	2×	body	160	valid