Details

analyze676.0ms

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

sample183.0ms

Algorithm

intervals

Results

61.0ms	42×	body	5120	exit
47.0ms	95×	body	1280	valid
25.0ms	83×	body	640	valid
15.0ms	32×	body	1280	nan
10.0ms	44×	body	320	valid
8.0ms	32×	body	640	nan
3.0ms	19×	body	320	nan
2.0ms	17×	body	160	valid
1.0ms	10×	body	160	nan
1.0ms	17×	body	80	valid
0.0ms	6×	body	80	nan

simplify94.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (92.0ms)

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: 60.0b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
0.0b	(sqrt.f64 (cos.f64 x))
4.3b	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

rewrite10.0ms

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:

7.0ms	(/.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)))

series13.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
4.0ms	(sqrt.f64 (cos.f64 x))
2.0ms	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

simplify68.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5687	564

prune48.0ms

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: 60.0b

Counts

57 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (fabs.f64 (cbrt.f64 (cos.f64 x))) (sqrt.f64 (cbrt.f64 (cos.f64 x))))
0.1b	(cbrt.f64 (cos.f64 x))
0.1b	(cbrt.f64 (cos.f64 x))
4.3b	(fmod.f64 (exp.f64 x) (*.f64 (fabs.f64 (cbrt.f64 (cos.f64 x))) (sqrt.f64 (cbrt.f64 (cos.f64 x)))))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64`
10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `cbrt-prod_binary64`
9×	`associate-r_binary64`
8×	`sqrt-prod_binary64`
6×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64`
3×	`associate-l_binary64` `unswap-sqr_binary64`
2×	`pow1/3_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

4 → 55

Calls

4 calls:

6.0ms	(*.f64 (fabs.f64 (cbrt.f64 (cos.f64 x))) (sqrt.f64 (cbrt.f64 (cos.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)))))

series60.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(*.f64 (fabs.f64 (cbrt.f64 (cos.f64 x))) (sqrt.f64 (cbrt.f64 (cos.f64 x))))
16.0ms	(cbrt.f64 (cos.f64 x))
16.0ms	(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)))))

simplify56.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5067	612

prune55.0ms

Filtered

49 candidates to 67 candidates (-36.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	66	1	67
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	66	3	69

Merged error: 60.0b

Counts

69 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
0.0b	(sqrt.f64 (cos.f64 x))
2.1b	(log.f64 (exp.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
4.3b	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
6×	`pow1_binary64` `exp-prod_binary64`
5×	`add-log-exp_binary64`
4×	`log-pow_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`log-prod_binary64` `sqrt-prod_binary64`
1×	`pow1/2_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64`

Counts

4 → 46

Calls

4 calls:

2.0ms	(exp.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
2.0ms	(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)))

series14.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify90.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	4769	409
1	4769	409

prune43.0ms

Filtered

40 candidates to 58 candidates (-45.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	58	3	61

Merged error: 60.0b

Counts

61 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt.f64 (cos.f64 x))
4.3b	(fmod.f64 (exp.f64 x) (*.f64 (fabs.f64 (cbrt.f64 (cos.f64 x))) (sqrt.f64 (cbrt.f64 (cos.f64 x)))))
4.3b	(fmod.f64 (exp.f64 x) (*.f64 (fabs.f64 (cbrt.f64 (cos.f64 x))) (sqrt.f64 (cbrt.f64 (cos.f64 x)))))
4.3b	(fmod.f64 (exp.f64 x) (*.f64 (fabs.f64 (cbrt.f64 (cos.f64 x))) (sqrt.f64 (cbrt.f64 (cos.f64 x)))))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

5×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`cbrt-prod_binary64`
1×	`pow1/3_binary64`

Counts

4 → 32

Calls

4 calls:

2.0ms	(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)))))
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)))))

series27.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(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)))))
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)))))

simplify60.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4935	498
1	4935	498

prune44.0ms

Filtered

35 candidates to 44 candidates (-25.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	43	1	44
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	44	3	47

Merged error: 60.0b

Counts

47 → 3

regimes30.0ms

Accuracy

0% (0.0b remaining)

Error of 59.4b against oracle of 59.4b and baseline of 59.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	15
1	10	15

end0.0ms

sample6.5s

Algorithm

intervals

Results

2.4s	1609×	body	5120	exit
1.8s	3158×	body	1280	valid
831.0ms	2490×	body	640	valid
466.0ms	1229×	body	1280	nan
274.0ms	1226×	body	320	valid
252.0ms	968×	body	640	nan
92.0ms	616×	body	160	valid
90.0ms	486×	body	320	nan
43.0ms	510×	body	80	valid
33.0ms	265×	body	160	nan
17.0ms	234×	body	80	nan

Details

analyze676.0ms

sample183.0ms

simplify94.0ms

prune5.0ms

localize7.0ms

rewrite10.0ms

series13.0ms

simplify68.0ms

prune48.0ms

localize10.0ms

rewrite11.0ms

series60.0ms

simplify56.0ms

prune55.0ms

localize10.0ms

rewrite7.0ms

series14.0ms

simplify90.0ms

prune43.0ms

localize16.0ms

rewrite4.0ms

series27.0ms

simplify60.0ms

prune44.0ms

regimes30.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample6.5s

Profiling