Details

analyze675.0ms (8%)

Algorithm

1×

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

sample210.0ms (2.5%)

Algorithm

1×

intervals

Results

85.0ms	55×	body	5120	exit
47.0ms	96×	body	1280	valid
24.0ms	74×	body	640	valid
15.0ms	40×	body	1280	nan
9.0ms	43×	body	320	valid
7.0ms	29×	body	640	nan
4.0ms	25×	body	160	valid
3.0ms	18×	body	320	nan
1.0ms	18×	body	80	valid
1.0ms	11×	body	160	nan
1.0ms	12×	body	80	nan

simplify94.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	4797	9
1	4797	9

prune5.0ms (0.1%)

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 (0.1%)

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)))

rewrite7.0ms (0.1%)

Algorithm

1×	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:

4.0ms	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
2.0ms	(sqrt.f64 (cos.f64 x))
1.0ms	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

series15.0ms (0.2%)

Counts

3 → 9

Calls

3 calls:

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

simplify61.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5687	564

prune68.0ms (0.8%)

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 (0.1%)

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 (0.1%)

Algorithm

1×	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:

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	(cbrt.f64 (cos.f64 x))
1.0ms	(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)))))

series49.0ms (0.6%)

Counts

4 → 12

Calls

4 calls:

18.0ms	(cbrt.f64 (cos.f64 x))
16.0ms	(cbrt.f64 (cos.f64 x))
12.0ms	(/.f64 (fmod.f64 (exp.f64 x) (*.f64 (fabs.f64 (cbrt.f64 (cos.f64 x))) (sqrt.f64 (cbrt.f64 (cos.f64 x))))) (exp.f64 x))
3.0ms	(fmod.f64 (exp.f64 x) (*.f64 (fabs.f64 (cbrt.f64 (cos.f64 x))) (sqrt.f64 (cbrt.f64 (cos.f64 x)))))

simplify48.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5285	934

prune80.0ms (0.9%)

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

localize14.0ms (0.2%)

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)))))

rewrite22.0ms (0.3%)

Algorithm

1×	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:

8.0ms	(/.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)))))

series46.0ms (0.5%)

Counts

4 → 12

Calls

4 calls:

20.0ms	(/.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)))
19.0ms	(/.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)))
4.0ms	(fmod.f64 (exp.f64 x) (*.f64 (fabs.f64 (cbrt.f64 (cos.f64 x))) (sqrt.f64 (cbrt.f64 (cos.f64 x)))))
3.0ms	(fmod.f64 (exp.f64 x) (*.f64 (fabs.f64 (cbrt.f64 (cos.f64 x))) (sqrt.f64 (cbrt.f64 (cos.f64 x)))))

simplify73.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4884	3784
1	4884	3784

prune143.0ms (1.7%)

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

localize17.0ms (0.2%)

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 (0.3%)

Algorithm

1×	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:

9.0ms	(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)))))
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)))))

series49.0ms (0.6%)

Counts

4 → 12

Calls

4 calls:

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)))))
20.0ms	(/.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)))
4.0ms	(fmod.f64 (exp.f64 x) (*.f64 (fabs.f64 (cbrt.f64 (cos.f64 x))) (sqrt.f64 (cbrt.f64 (cos.f64 x)))))
3.0ms	(fmod.f64 (exp.f64 x) (*.f64 (fabs.f64 (cbrt.f64 (cos.f64 x))) (sqrt.f64 (cbrt.f64 (cos.f64 x)))))

simplify68.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4953	3010
1	4953	3010

prune133.0ms (1.6%)

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

regimes41.0ms (0.5%)

Accuracy

Total 0.0b remaining (0.1%)

Threshold costs 0.0b (0.1%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	37
1	16	37

end0.0ms (0%)

sample6.5s (76.7%)

Algorithm

1×

intervals

Results

2.3s	1563×	body	5120	exit
1.8s	3148×	body	1280	valid
832.0ms	2507×	body	640	valid
488.0ms	1233×	body	1280	nan
281.0ms	1221×	body	320	valid
257.0ms	954×	body	640	nan
94.0ms	496×	body	320	nan
93.0ms	638×	body	160	valid
39.0ms	486×	body	80	valid
32.0ms	248×	body	160	nan
18.0ms	243×	body	80	nan

Details

analyze675.0ms (8%)

sample210.0ms (2.5%)

simplify94.0ms (1.1%)

prune5.0ms (0.1%)

localize7.0ms (0.1%)

rewrite7.0ms (0.1%)

series15.0ms (0.2%)

simplify61.0ms (0.7%)

prune68.0ms (0.8%)

localize10.0ms (0.1%)

rewrite9.0ms (0.1%)

series49.0ms (0.6%)

simplify48.0ms (0.6%)

prune80.0ms (0.9%)

localize14.0ms (0.2%)

rewrite22.0ms (0.3%)

series46.0ms (0.5%)

simplify73.0ms (0.9%)

prune143.0ms (1.7%)

localize17.0ms (0.2%)

rewrite25.0ms (0.3%)

series49.0ms (0.6%)

simplify68.0ms (0.8%)

prune133.0ms (1.6%)

regimes41.0ms (0.5%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample6.5s (76.7%)

Profiling