Details

analyze666.0ms

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

sample189.0ms

Algorithm

intervals

Results

63.0ms	42×	body	5120	exit
49.0ms	97×	body	1280	valid
27.0ms	82×	body	640	valid
13.0ms	34×	body	1280	nan
9.0ms	34×	body	640	nan
8.0ms	38×	body	320	valid
4.0ms	26×	body	160	valid
3.0ms	16×	body	320	nan
1.0ms	13×	body	80	valid
1.0ms	8×	body	160	nan
1.0ms	7×	body	80	nan

simplify98.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (94.0ms)

Iter	Nodes	Cost
0	4797	9
1	4797	9

prune4.0ms

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: 60.2b

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))
7.2b	(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)))

series12.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(sqrt.f64 (cos.f64 x))
7.0ms	(/.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)))

simplify58.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5687	564

prune28.0ms

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: 60.2b

Counts

57 → 4

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))
1.8b	(-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)
4.4b	(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
7.2b	(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))
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)))

series42.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(exp.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))
20.0ms	(-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)
16.0ms	(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
2.0ms	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

simplify63.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4902	681
1	4902	681

prune29.0ms

Filtered

45 candidates to 68 candidates (-51.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	65	3	68
Fresh	1	2	3
Picked	1	0	1
Done	0	0	0
Total	67	5	72

Merged error: 60.2b

Counts

72 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

1.8b	(-.f64 (log.f64 (log.f64 (exp.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) x)
3.6b	(log.f64 (log.f64 (exp.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
3.7b	(log.f64 (exp.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
7.2b	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

rewrite13.0ms

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:

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

series41.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(-.f64 (log.f64 (log.f64 (exp.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) x)
18.0ms	(log.f64 (log.f64 (exp.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
2.0ms	(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)))

simplify98.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	4880	697
1	4880	697

prune28.0ms

Filtered

49 candidates to 71 candidates (-44.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	71	0	71
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	71	5	76

Merged error: 60.2b

Counts

76 → 5

localize11.0ms

Local error

Found 4 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))
3.8b	(log.f64 (exp.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))
7.2b	(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)))

series19.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(sqrt.f64 (cos.f64 x))
7.0ms	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
7.0ms	(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)))

simplify74.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4843	892
1	4843	892

prune33.0ms

Filtered

64 candidates to 84 candidates (-31.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	82	2	84
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	84	5	89

Merged error: 60.2b

Counts

89 → 5

regimes21.0ms

Accuracy

0% (0.0b remaining)

Error of 59.7b against oracle of 59.6b 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

sample6.2s

Algorithm

intervals

Results

2.3s	1519×	body	5120	exit
1.6s	3154×	body	1280	valid
814.0ms	2521×	body	640	valid
463.0ms	1210×	body	1280	nan
276.0ms	1252×	body	320	valid
267.0ms	1026×	body	640	nan
99.0ms	521×	body	320	nan
88.0ms	597×	body	160	valid
38.0ms	476×	body	80	valid
29.0ms	226×	body	160	nan
21.0ms	230×	body	80	nan

Details

analyze666.0ms

sample189.0ms

simplify98.0ms

prune4.0ms

localize7.0ms

rewrite8.0ms

series12.0ms

simplify58.0ms

prune28.0ms

localize9.0ms

rewrite14.0ms

series42.0ms

simplify63.0ms

prune29.0ms

localize11.0ms

rewrite13.0ms

series41.0ms

simplify98.0ms

prune28.0ms

localize11.0ms

rewrite13.0ms

series19.0ms

simplify74.0ms

prune33.0ms

regimes21.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample6.2s

Profiling