Details

analyze709.0ms

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

sample227.0ms

Algorithm

intervals

Results

88.0ms	60×	body	5120	exit
44.0ms	88×	body	1280	valid
29.0ms	86×	body	640	valid
14.0ms	37×	body	1280	nan
14.0ms	44×	body	320	valid
13.0ms	47×	body	640	nan
4.0ms	21×	body	320	nan
3.0ms	19×	body	160	valid
2.0ms	19×	body	80	valid
1.0ms	8×	body	160	nan
1.0ms	14×	body	80	nan

simplify90.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4813	15
1	4813	15

prune12.0ms

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: 59.9b

Counts

2 → 1

localize10.0ms

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))
3.9b	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

rewrite7.0ms

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:

4.0ms	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
1.0ms	(sqrt.f64 (cos.f64 x))
0.0ms	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

series52.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
15.0ms	(sqrt.f64 (cos.f64 x))
7.0ms	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

simplify88.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4897	953
1	4897	953

prune141.0ms

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: 59.9b

Counts

57 → 4

localize37.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
3.9b	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
3.9b	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
3.9b	(fmod.f64 (exp.f64 x) (sqrt.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:

1.0ms	(cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
0.0ms	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
1.0ms	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
1.0ms	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

series149.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
6.0ms	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
5.0ms	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
6.0ms	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

simplify76.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5312	566

prune125.0ms

Filtered

31 candidates to 44 candidates (-41.9%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	42	2	44
Fresh	0	3	3
Picked	1	0	1
Done	0	0	0
Total	43	5	48

Merged error: 59.9b

Counts

48 → 5

localize13.0ms

Local error

Found 4 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))
1.7b	(log.f64 (exp.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))
3.9b	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

rewrite12.0ms

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:

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

series91.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
15.0ms	(sqrt.f64 (cos.f64 x))
40.0ms	(log.f64 (exp.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))
6.0ms	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

simplify115.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	4908	1509
1	4908	1509

prune184.0ms

Filtered

64 candidates to 84 candidates (-31.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	1	3	4
Picked	1	0	1
Done	0	0	0
Total	85	4	89

Merged error: 59.9b

Counts

89 → 4

localize17.0ms

Local error

Found 4 expressions with local error:

1.7b	(log.f64 (sqrt.f64 (exp.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)))))
1.7b	(log.f64 (sqrt.f64 (exp.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)))))
3.9b	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
3.9b	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

32×	`log-pow_binary64`
28×	`sqrt-pow1_binary64`
26×	`exp-prod_binary64`
22×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
18×	`times-frac_binary64`
12×	`log-prod_binary64`
8×	`pow1_binary64`
6×	`add-exp-log_binary64` `sqrt-prod_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64`
2×	`pow1/2_binary64` `rem-log-exp_binary64` `div-inv_binary64`

Counts

4 → 74

Calls

4 calls:

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

series391.0ms

Counts

4 → 12

Calls

4 calls:

222.0ms	(log.f64 (sqrt.f64 (exp.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)))))
156.0ms	(log.f64 (sqrt.f64 (exp.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)))))
6.0ms	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
7.0ms	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

simplify155.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (112.0ms)

Iter	Nodes	Cost
0	5294	1848

prune191.0ms

Filtered

64 candidates to 86 candidates (-34.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	84	2	86
Fresh	1	2	3
Picked	1	0	1
Done	0	0	0
Total	86	4	90

Merged error: 59.9b

Counts

90 → 4

regimes54.0ms

Accuracy

0% (0.0b remaining)

Error of 59.6b against oracle of 59.5b and baseline of 59.6b

bsearch0.0ms

simplify8.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	48
1	14	48

end0.0ms

sample6.6s

Algorithm

intervals

Results

2.5s	1618×	body	5120	exit
1.6s	3160×	body	1280	valid
852.0ms	2485×	body	640	valid
464.0ms	1153×	body	1280	nan
291.0ms	1235×	body	320	valid
291.0ms	1039×	body	640	nan
100.0ms	491×	body	320	nan
95.0ms	617×	body	160	valid
42.0ms	503×	body	80	valid
31.0ms	229×	body	160	nan
22.0ms	273×	body	80	nan

Details

analyze709.0ms

sample227.0ms

simplify90.0ms

prune12.0ms

localize10.0ms

rewrite7.0ms

series52.0ms

simplify88.0ms

prune141.0ms

localize37.0ms

rewrite4.0ms

series149.0ms

simplify76.0ms

prune125.0ms

localize13.0ms

rewrite12.0ms

series91.0ms

simplify115.0ms

prune184.0ms

localize17.0ms

rewrite14.0ms

series391.0ms

simplify155.0ms

prune191.0ms

regimes54.0ms

bsearch0.0ms

simplify8.0ms

end0.0ms

sample6.6s

Profiling