Details

analyze691.0ms

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

sample214.0ms

Algorithm

intervals

Results

83.0ms	55×	body	5120	exit
48.0ms	96×	body	1280	valid
24.0ms	74×	body	640	valid
15.0ms	40×	body	1280	nan
14.0ms	43×	body	320	valid
8.0ms	29×	body	640	nan
4.0ms	18×	body	320	nan
4.0ms	25×	body	160	valid
1.0ms	18×	body	80	valid
1.0ms	11×	body	160	nan
1.0ms	12×	body	80	nan

simplify95.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (92.0ms)

Iter	Nodes	Cost
0	4797	9
1	4797	9

prune8.0ms

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: 59.1b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(sqrt.f64 (cos.f64 x))
0.5b	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
4.1b	(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)))

series18.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(sqrt.f64 (cos.f64 x))
12.0ms	(/.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)))

simplify56.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5687	564

prune56.0ms

Filtered

41 candidates to 56 candidates (-36.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	50	6	56
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	51	6	57

Merged error: 59.0b

Counts

57 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt.f64 (cos.f64 x))
0.1b	(cbrt.f64 (cos.f64 x))
0.5b	(/.f64 (fmod.f64 (exp.f64 x) (*.f64 (fabs.f64 (cbrt.f64 (cos.f64 x))) (sqrt.f64 (cbrt.f64 (cos.f64 x))))) (exp.f64 x))
4.1b	(fmod.f64 (exp.f64 x) (*.f64 (fabs.f64 (cbrt.f64 (cos.f64 x))) (sqrt.f64 (cbrt.f64 (cos.f64 x)))))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 56

Calls

4 calls:

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

series55.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(cbrt.f64 (cos.f64 x))
19.0ms	(cbrt.f64 (cos.f64 x))
15.0ms	(/.f64 (fmod.f64 (exp.f64 x) (*.f64 (fabs.f64 (cbrt.f64 (cos.f64 x))) (sqrt.f64 (cbrt.f64 (cos.f64 x))))) (exp.f64 x))
4.0ms	(fmod.f64 (exp.f64 x) (*.f64 (fabs.f64 (cbrt.f64 (cos.f64 x))) (sqrt.f64 (cbrt.f64 (cos.f64 x)))))

simplify48.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5285	934

prune68.0ms

Filtered

53 candidates to 68 candidates (-28.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	66	2	68
Fresh	0	5	5
Picked	1	0	1
Done	0	0	0
Total	67	7	74

Merged error: 59.0b

Counts

74 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (*.f64 (fabs.f64 (cbrt.f64 (cos.f64 x))) (sqrt.f64 (cbrt.f64 (cos.f64 x)))))) (sqrt.f64 (exp.f64 x)))
0.5b	(/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (*.f64 (fabs.f64 (cbrt.f64 (cos.f64 x))) (sqrt.f64 (cbrt.f64 (cos.f64 x)))))) (sqrt.f64 (exp.f64 x)))
4.1b	(fmod.f64 (exp.f64 x) (*.f64 (fabs.f64 (cbrt.f64 (cos.f64 x))) (sqrt.f64 (cbrt.f64 (cos.f64 x)))))
4.1b	(fmod.f64 (exp.f64 x) (*.f64 (fabs.f64 (cbrt.f64 (cos.f64 x))) (sqrt.f64 (cbrt.f64 (cos.f64 x)))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

84×	`sqrt-prod_binary64`
72×	`times-frac_binary64`
60×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
12×	`associate-/r_binary64` `associate-/l_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64` `pow1_binary64`
2×	`cbrt-undiv_binary64` `sqrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

4 → 136

Calls

4 calls:

7.0ms	(/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (*.f64 (fabs.f64 (cbrt.f64 (cos.f64 x))) (sqrt.f64 (cbrt.f64 (cos.f64 x)))))) (sqrt.f64 (exp.f64 x)))
6.0ms	(/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (*.f64 (fabs.f64 (cbrt.f64 (cos.f64 x))) (sqrt.f64 (cbrt.f64 (cos.f64 x)))))) (sqrt.f64 (exp.f64 x)))
1.0ms	(fmod.f64 (exp.f64 x) (*.f64 (fabs.f64 (cbrt.f64 (cos.f64 x))) (sqrt.f64 (cbrt.f64 (cos.f64 x)))))
1.0ms	(fmod.f64 (exp.f64 x) (*.f64 (fabs.f64 (cbrt.f64 (cos.f64 x))) (sqrt.f64 (cbrt.f64 (cos.f64 x)))))

series50.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (*.f64 (fabs.f64 (cbrt.f64 (cos.f64 x))) (sqrt.f64 (cbrt.f64 (cos.f64 x)))))) (sqrt.f64 (exp.f64 x)))
21.0ms	(/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (*.f64 (fabs.f64 (cbrt.f64 (cos.f64 x))) (sqrt.f64 (cbrt.f64 (cos.f64 x)))))) (sqrt.f64 (exp.f64 x)))
3.0ms	(fmod.f64 (exp.f64 x) (*.f64 (fabs.f64 (cbrt.f64 (cos.f64 x))) (sqrt.f64 (cbrt.f64 (cos.f64 x)))))
4.0ms	(fmod.f64 (exp.f64 x) (*.f64 (fabs.f64 (cbrt.f64 (cos.f64 x))) (sqrt.f64 (cbrt.f64 (cos.f64 x)))))

simplify72.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4884	3784
1	4884	3784

prune92.0ms

Filtered

86 candidates to 148 candidates (-72.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	146	2	148
Fresh	3	3	6
Picked	1	0	1
Done	0	0	0
Total	150	5	155

Merged error: 59.0b

Counts

155 → 5

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b	(/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (*.f64 (fabs.f64 (cbrt.f64 (cos.f64 x))) (sqrt.f64 (cbrt.f64 (cos.f64 x)))))) (sqrt.f64 (exp.f64 x)))
1.1b	(log.f64 (exp.f64 (/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (*.f64 (fabs.f64 (cbrt.f64 (cos.f64 x))) (sqrt.f64 (cbrt.f64 (cos.f64 x)))))) (sqrt.f64 (exp.f64 x)))))
4.1b	(fmod.f64 (exp.f64 x) (*.f64 (fabs.f64 (cbrt.f64 (cos.f64 x))) (sqrt.f64 (cbrt.f64 (cos.f64 x)))))
4.1b	(fmod.f64 (exp.f64 x) (*.f64 (fabs.f64 (cbrt.f64 (cos.f64 x))) (sqrt.f64 (cbrt.f64 (cos.f64 x)))))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

78×	`sqrt-prod_binary64`
72×	`times-frac_binary64`
58×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
41×	`log-pow_binary64`
40×	`exp-prod_binary64`
6×	`associate-/r_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-/l_binary64`
5×	`pow1_binary64`
4×	`add-log-exp_binary64`
3×	`log-prod_binary64`
2×	`div-inv_binary64`
1×	`cbrt-undiv_binary64` `rem-log-exp_binary64` `sqrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-exp_binary64`

Counts

4 → 127

Calls

4 calls:

7.0ms	(/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (*.f64 (fabs.f64 (cbrt.f64 (cos.f64 x))) (sqrt.f64 (cbrt.f64 (cos.f64 x)))))) (sqrt.f64 (exp.f64 x)))
10.0ms	(log.f64 (exp.f64 (/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (*.f64 (fabs.f64 (cbrt.f64 (cos.f64 x))) (sqrt.f64 (cbrt.f64 (cos.f64 x)))))) (sqrt.f64 (exp.f64 x)))))
1.0ms	(fmod.f64 (exp.f64 x) (*.f64 (fabs.f64 (cbrt.f64 (cos.f64 x))) (sqrt.f64 (cbrt.f64 (cos.f64 x)))))
1.0ms	(fmod.f64 (exp.f64 x) (*.f64 (fabs.f64 (cbrt.f64 (cos.f64 x))) (sqrt.f64 (cbrt.f64 (cos.f64 x)))))

series51.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (*.f64 (fabs.f64 (cbrt.f64 (cos.f64 x))) (sqrt.f64 (cbrt.f64 (cos.f64 x)))))) (sqrt.f64 (exp.f64 x)))
22.0ms	(log.f64 (exp.f64 (/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (*.f64 (fabs.f64 (cbrt.f64 (cos.f64 x))) (sqrt.f64 (cbrt.f64 (cos.f64 x)))))) (sqrt.f64 (exp.f64 x)))))
3.0ms	(fmod.f64 (exp.f64 x) (*.f64 (fabs.f64 (cbrt.f64 (cos.f64 x))) (sqrt.f64 (cbrt.f64 (cos.f64 x)))))
4.0ms	(fmod.f64 (exp.f64 x) (*.f64 (fabs.f64 (cbrt.f64 (cos.f64 x))) (sqrt.f64 (cbrt.f64 (cos.f64 x)))))

simplify72.0ms

Algorithm

egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4953	3010
1	4953	3010

prune87.0ms

Filtered

82 candidates to 139 candidates (-69.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	135	4	139
Fresh	2	2	4
Picked	0	1	1
Done	0	0	0
Total	137	7	144

Merged error: 59.0b

Counts

144 → 7

regimes43.0ms

Accuracy

0% (0.0b remaining)

Error of 59.6b against oracle of 59.6b and baseline of 59.6b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	37
1	16	37

end0.0ms

sample6.5s

Algorithm

intervals

Results

2.6s	1563×	body	5120	exit
1.6s	3148×	body	1280	valid
834.0ms	2507×	body	640	valid
485.0ms	1233×	body	1280	nan
282.0ms	1221×	body	320	valid
249.0ms	954×	body	640	nan
101.0ms	496×	body	320	nan
97.0ms	638×	body	160	valid
43.0ms	486×	body	80	valid
35.0ms	248×	body	160	nan
18.0ms	243×	body	80	nan

Details

analyze691.0ms

sample214.0ms

simplify95.0ms

prune8.0ms

localize7.0ms

rewrite8.0ms

series18.0ms

simplify56.0ms

prune56.0ms

localize10.0ms

rewrite9.0ms

series55.0ms

simplify48.0ms

prune68.0ms

localize16.0ms

rewrite20.0ms

series50.0ms

simplify72.0ms

prune92.0ms

localize19.0ms

rewrite25.0ms

series51.0ms

simplify72.0ms

prune87.0ms

regimes43.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample6.5s

Profiling