Details

analyze695.0ms

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

sample215.0ms

Algorithm

intervals

Results

76.0ms	51×	body	5120	exit
50.0ms	94×	body	1280	valid
29.0ms	88×	body	640	valid
23.0ms	49×	body	1280	nan
9.0ms	41×	body	320	valid
8.0ms	29×	body	640	nan
3.0ms	19×	body	160	valid
3.0ms	14×	body	320	nan
1.0ms	14×	body	80	valid
1.0ms	6×	body	160	nan
0.0ms	4×	body	80	nan

simplify99.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (96.0ms)

Iter	Nodes	Cost
0	4797	9
1	4797	9

prune5.0ms

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))
0.3b	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
5.2b	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

rewrite8.0ms

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:

2.0ms	(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)))

series16.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(sqrt.f64 (cos.f64 x))
8.0ms	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
4.0ms	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

simplify63.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5687	564

prune51.0ms

Filtered

41 candidates to 56 candidates (-36.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	52	4	56
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	53	4	57

Merged error: 59.7b

Counts

57 → 4

localize10.0ms

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))
2.0b	(-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)
3.3b	(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
5.2b	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

rewrite14.0ms

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))
5.0ms	(-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)
2.0ms	(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
1.0ms	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

series50.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(exp.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))
23.0ms	(-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)
20.0ms	(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
2.0ms	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

simplify61.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4902	681
1	4902	681

prune52.0ms

Filtered

45 candidates to 68 candidates (-51.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	67	1	68
Fresh	0	3	3
Picked	1	0	1
Done	0	0	0
Total	68	4	72

Merged error: 59.7b

Counts

72 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

2.0b	(-.f64 (log.f64 (log.f64 (exp.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) x)
2.1b	(log.f64 (exp.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
3.0b	(log.f64 (log.f64 (exp.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
5.2b	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 59

Calls

4 calls:

5.0ms	(-.f64 (log.f64 (log.f64 (exp.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) x)
2.0ms	(log.f64 (exp.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
2.0ms	(log.f64 (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)))

series48.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(-.f64 (log.f64 (log.f64 (exp.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) x)
2.0ms	(log.f64 (exp.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
18.0ms	(log.f64 (log.f64 (exp.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
2.0ms	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

simplify101.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (93.0ms)

Iter	Nodes	Cost
0	4880	697
1	4880	697

prune54.0ms

Filtered

50 candidates to 71 candidates (-42.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	71	0	71
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	71	4	75

Merged error: 59.7b

Counts

75 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (cos.f64 x))
0.3b	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
2.3b	(log.f64 (exp.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))
5.2b	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64`
21×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
18×	`times-frac_binary64`
14×	`log-pow_binary64`
13×	`exp-prod_binary64`
6×	`pow1_binary64` `add-cbrt-cube_binary64`
5×	`add-exp-log_binary64`
4×	`add-log-exp_binary64`
3×	`associate-/r_binary64` `log-prod_binary64` `associate-/l_binary64` `sqrt-prod_binary64`
2×	`div-inv_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-exp_binary64`

Counts

4 → 72

Calls

4 calls:

2.0ms	(sqrt.f64 (cos.f64 x))
4.0ms	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
5.0ms	(log.f64 (exp.f64 (/.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)))

series21.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(sqrt.f64 (cos.f64 x))
8.0ms	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
8.0ms	(log.f64 (exp.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))
2.0ms	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

simplify76.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4843	892
1	4843	892

prune60.0ms

Filtered

64 candidates to 84 candidates (-31.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	84	4	88

Merged error: 59.7b

Counts

88 → 4

regimes30.0ms

Accuracy

0% (0.1b 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	20	12
1	20	12

end0.0ms

sample6.4s

Algorithm

intervals

Results

2.4s	1574×	body	5120	exit
1.6s	3169×	body	1280	valid
865.0ms	2518×	body	640	valid
484.0ms	1215×	body	1280	nan
287.0ms	1253×	body	320	valid
265.0ms	984×	body	640	nan
98.0ms	491×	body	320	nan
96.0ms	615×	body	160	valid
36.0ms	445×	body	80	valid
31.0ms	239×	body	160	nan
23.0ms	247×	body	80	nan

Details

analyze695.0ms

sample215.0ms

simplify99.0ms

prune5.0ms

localize7.0ms

rewrite8.0ms

series16.0ms

simplify63.0ms

prune51.0ms

localize10.0ms

rewrite14.0ms

series50.0ms

simplify61.0ms

prune52.0ms

localize12.0ms

rewrite12.0ms

series48.0ms

simplify101.0ms

prune54.0ms

localize10.0ms

rewrite13.0ms

series21.0ms

simplify76.0ms

prune60.0ms

regimes30.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample6.4s

Profiling