Details

analyze712.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	50%	0%	4
50%	50%	0%	5
50%	50%	0%	6
50%	50%	0%	7
50%	50%	0%	8
50%	50%	0%	9
50%	50%	0%	10
50%	50%	0%	11
50%	50%	0%	12
50%	50%	0%	13
50%	49.9%	0.1%	14

sample201.0ms

Algorithm

intervals

Results

68.0ms	45×	body	5120	exit
52.0ms	105×	body	1280	valid
24.0ms	74×	body	640	valid
19.0ms	42×	body	1280	nan
9.0ms	40×	body	320	valid
9.0ms	33×	body	640	nan
3.0ms	18×	body	320	nan
3.0ms	22×	body	160	valid
1.0ms	15×	body	80	valid
1.0ms	8×	body	160	nan
1.0ms	7×	body	80	nan

simplify147.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (137.0ms)

Iter	Nodes	Cost
0	4786	15
1	4786	15

prune3.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 59.7b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(sqrt.f64 (cos.f64 x))
0.7b	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
4.8b	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64`
12×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
9×	`times-frac_binary64`
5×	`add-cbrt-cube_binary64`
4×	`pow1_binary64` `add-exp-log_binary64`
3×	`associate-/r_binary64` `add-log-exp_binary64` `associate-/l_binary64` `sqrt-prod_binary64`
1×	`pow1/2_binary64` `cbrt-undiv_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

3 → 47

Calls

3 calls:

1.0ms	(sqrt.f64 (cos.f64 x))
4.0ms	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
1.0ms	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

series62.0ms

Counts

3 → 9

Calls

3 calls:

18.0ms	(sqrt.f64 (cos.f64 x))
37.0ms	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
7.0ms	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

simplify91.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	5710	953

prune48.0ms

Filtered

41 candidates to 56 candidates (-36.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	49	7	56
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	50	7	57

Merged error: 59.6b

Counts

57 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b	(exp.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))
1.4b	(-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)
2.7b	(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
4.8b	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity_binary64`
12×	`add-sqr-sqrt_binary64`
9×	`log-prod_binary64`
8×	`add-cube-cbrt_binary64`
7×	`add-log-exp_binary64` `pow1_binary64`
6×	`associate--l+_binary64` `exp-prod_binary64`
5×	`add-exp-log_binary64`
4×	`add-cbrt-cube_binary64` `exp-sum_binary64` `distribute-lft-out--_binary64`
3×	`log-pow_binary64`
2×	`sub-neg_binary64` `diff-log_binary64` `rem-exp-log_binary64` `difference-of-squares_binary64`
1×	`flip3--_binary64` `rem-log-exp_binary64` `exp-diff_binary64` `flip--_binary64`

Counts

4 → 56

Calls

4 calls:

5.0ms	(exp.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))
4.0ms	(-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)
1.0ms	(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
1.0ms	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

series228.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(exp.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))
106.0ms	(-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)
92.0ms	(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
7.0ms	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

simplify122.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (103.0ms)

Iter	Nodes	Cost
0	4886	1152
1	4886	1152

prune44.0ms

Filtered

44 candidates to 68 candidates (-54.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	66	2	68
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	67	8	75

Merged error: 59.6b

Counts

75 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

2.7b	(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
4.8b	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
4.8b	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
4.8b	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

5×	`*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64`
3×	`log-prod_binary64`
1×	`rem-log-exp_binary64` `log-pow_binary64`

Counts

4 → 33

Calls

4 calls:

1.0ms	(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
1.0ms	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
1.0ms	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
1.0ms	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

series103.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
6.0ms	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
6.0ms	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
6.0ms	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

simplify104.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (90.0ms)

Iter	Nodes	Cost
0	4823	620
1	4823	620

prune47.0ms

Filtered

30 candidates to 45 candidates (-50.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	43	2	45
Fresh	2	4	6
Picked	1	0	1
Done	0	1	1
Total	46	7	53

Merged error: 59.6b

Counts

53 → 7

localize21.0ms

Local error

Found 4 expressions with local error:

4.8b	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
4.8b	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
4.8b	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
4.8b	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

4×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64`

Counts

4 → 28

Calls

4 calls:

1.0ms	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
1.0ms	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
1.0ms	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
1.0ms	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

series27.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
7.0ms	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
7.0ms	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
7.0ms	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

simplify191.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (178.0ms)

Iter	Nodes	Cost
0	4718	516
1	4718	516

prune44.0ms

Filtered

28 candidates to 40 candidates (-42.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	39	1	40
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	41	6	47

Merged error: 59.6b

Counts

47 → 6

regimes15.0ms

Accuracy

0% (0.1b remaining)

Error of 59.5b against oracle of 59.5b and baseline of 59.5b

bsearch0.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	76
1	35	76

end0.0ms

sample6.6s

Algorithm

intervals

Results

2.4s	1542×	body	5120	exit
1.6s	3221×	body	1280	valid
840.0ms	2467×	body	640	valid
493.0ms	1014×	body	640	nan
463.0ms	1155×	body	1280	nan
295.0ms	1230×	body	320	valid
97.0ms	599×	body	160	valid
92.0ms	475×	body	320	nan
40.0ms	483×	body	80	valid
34.0ms	224×	body	160	nan
18.0ms	240×	body	80	nan

Details

analyze712.0ms

sample201.0ms

simplify147.0ms

prune3.0ms

localize7.0ms

rewrite7.0ms

series62.0ms

simplify91.0ms

prune48.0ms

localize9.0ms

rewrite13.0ms

series228.0ms

simplify122.0ms

prune44.0ms

localize14.0ms

rewrite4.0ms

series103.0ms

simplify104.0ms

prune47.0ms

localize21.0ms

rewrite3.0ms

series27.0ms

simplify191.0ms

prune44.0ms

regimes15.0ms

bsearch0.0ms

simplify4.0ms

end0.0ms

sample6.6s

Profiling