Details

analyze673.0ms

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

sample250.0ms

Algorithm

intervals

Results

138.0ms	49×	body	8192	exit
57.0ms	136×	body	1024	valid
16.0ms	63×	body	512	valid
13.0ms	44×	body	1024	nan
5.0ms	31×	body	256	valid
5.0ms	23×	body	512	nan
3.0ms	5×	body	2048	valid
2.0ms	21×	body	128	valid
1.0ms	6×	body	256	nan
1.0ms	9×	body	128	nan

simplify97.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	4968	15
1	4968	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: 60.9b

Counts

2 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(sqrt.f64 (cos.f64 x))
0.2b	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
3.7b	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

rewrite9.0ms

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)))

series100.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(sqrt.f64 (cos.f64 x))
63.0ms	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
11.0ms	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

simplify77.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5780	953

prune36.0ms

Filtered

41 candidates to 56 candidates (-36.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	54	2	56
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	55	2	57

Merged error: 60.9b

Counts

57 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(exp.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))
1.5b	(-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)
3.2b	(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
3.7b	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

rewrite17.0ms

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:

6.0ms	(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)))

series343.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(exp.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))
175.0ms	(-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)
120.0ms	(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
12.0ms	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

simplify83.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4911	1155
1	4911	1155

prune35.0ms

Filtered

46 candidates to 68 candidates (-47.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	68	2	70

Merged error: 60.9b

Counts

70 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (cos.f64 x))
0.3b	(/.f64 (log.f64 (exp.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (exp.f64 x))
1.0b	(log.f64 (exp.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
3.7b	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64`
23×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
21×	`times-frac_binary64`
20×	`log-pow_binary64`
15×	`exp-prod_binary64`
10×	`pow1_binary64`
7×	`associate-/l*_binary64`
6×	`add-cbrt-cube_binary64`
5×	`add-exp-log_binary64`
4×	`add-log-exp_binary64`
3×	`associate-/r*_binary64` `log-prod_binary64` `sqrt-prod_binary64`
1×	`pow1/2_binary64` `cbrt-undiv_binary64` `rem-log-exp_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

4 → 78

Calls

4 calls:

2.0ms	(sqrt.f64 (cos.f64 x))
6.0ms	(/.f64 (log.f64 (exp.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (exp.f64 x))
2.0ms	(log.f64 (exp.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
1.0ms	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

series444.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(sqrt.f64 (cos.f64 x))
218.0ms	(/.f64 (log.f64 (exp.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (exp.f64 x))
192.0ms	(log.f64 (exp.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
10.0ms	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

simplify103.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4915	1688
1	4915	1688

prune47.0ms

Filtered

62 candidates to 90 candidates (-45.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	90	2	92

Merged error: 60.9b

Counts

92 → 2

regimes8.0ms

Accuracy

0% (0.0b remaining)

Error of 59.7b against oracle of 59.7b and baseline of 59.7b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	17
1	19	17

end0.0ms

sample8.1s

Algorithm

intervals

Results

4.5s	1666×	body	8192	exit
1.7s	3978×	body	1024	valid
517.0ms	1603×	body	1024	nan
509.0ms	2013×	body	512	valid
170.0ms	1005×	body	256	valid
147.0ms	738×	body	512	nan
96.0ms	174×	body	2048	valid
71.0ms	830×	body	128	valid
56.0ms	425×	body	256	nan
28.0ms	367×	body	128	nan

Details

analyze673.0ms

sample250.0ms

simplify97.0ms

prune3.0ms

localize12.0ms

rewrite9.0ms

series100.0ms

simplify77.0ms

prune36.0ms

localize10.0ms

rewrite17.0ms

series343.0ms

simplify83.0ms

prune35.0ms

localize10.0ms

rewrite17.0ms

series444.0ms

simplify103.0ms

prune47.0ms

regimes8.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample8.1s

Profiling