Details

analyze705.0ms

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

sample203.0ms

Algorithm

intervals

Results

70.0ms	43×	body	5120	exit
55.0ms	103×	body	1280	valid
28.0ms	81×	body	640	valid
11.0ms	42×	body	640	nan
10.0ms	25×	body	1280	nan
8.0ms	35×	body	320	valid
5.0ms	27×	body	320	nan
3.0ms	17×	body	160	valid
2.0ms	20×	body	80	valid
1.0ms	7×	body	160	nan
1.0ms	9×	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

prune7.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 59.4b

Counts

2 → 2

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))
3.7b	(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))
2.0ms	(sqrt.f64 (cos.f64 x))
1.0ms	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

series11.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
3.0ms	(sqrt.f64 (cos.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

prune49.0ms

Filtered

40 candidates to 56 candidates (-40.0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	53	3	56
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	55	3	58

Merged error: 59.4b

Counts

58 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (cos.f64 x))
0.0b	(exp.f64 (sqrt.f64 (cos.f64 x)))
0.1b	(log.f64 (exp.f64 (sqrt.f64 (cos.f64 x))))
3.7b	(fmod.f64 (exp.f64 x) (log.f64 (exp.f64 (sqrt.f64 (cos.f64 x)))))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 52

Calls

4 calls:

2.0ms	(sqrt.f64 (cos.f64 x))
3.0ms	(exp.f64 (sqrt.f64 (cos.f64 x)))
3.0ms	(log.f64 (exp.f64 (sqrt.f64 (cos.f64 x))))
1.0ms	(fmod.f64 (exp.f64 x) (log.f64 (exp.f64 (sqrt.f64 (cos.f64 x)))))

series13.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(sqrt.f64 (cos.f64 x))
6.0ms	(exp.f64 (sqrt.f64 (cos.f64 x)))
3.0ms	(log.f64 (exp.f64 (sqrt.f64 (cos.f64 x))))
2.0ms	(fmod.f64 (exp.f64 x) (log.f64 (exp.f64 (sqrt.f64 (cos.f64 x)))))

simplify97.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	4864	348
1	4864	348

prune49.0ms

Filtered

43 candidates to 64 candidates (-48.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	63	1	64
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	63	4	67

Merged error: 33.1b

Counts

67 → 4

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (cos.f64 x)))))
1.4b	(cbrt.f64 (exp.f64 (sqrt.f64 (cos.f64 x))))
1.4b	(cbrt.f64 (exp.f64 (sqrt.f64 (cos.f64 x))))
48.5b	(fmod.f64 (exp.f64 x) (+.f64 (*.f64 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (cos.f64 x))))) 2) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (cos.f64 x)))))))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 45

Calls

4 calls:

2.0ms	(log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (cos.f64 x)))))
3.0ms	(cbrt.f64 (exp.f64 (sqrt.f64 (cos.f64 x))))
3.0ms	(cbrt.f64 (exp.f64 (sqrt.f64 (cos.f64 x))))
1.0ms	(fmod.f64 (exp.f64 x) (+.f64 (*.f64 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (cos.f64 x))))) 2) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (cos.f64 x)))))))

series80.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (cos.f64 x)))))
23.0ms	(cbrt.f64 (exp.f64 (sqrt.f64 (cos.f64 x))))
23.0ms	(cbrt.f64 (exp.f64 (sqrt.f64 (cos.f64 x))))
3.0ms	(fmod.f64 (exp.f64 x) (+.f64 (*.f64 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (cos.f64 x))))) 2) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (cos.f64 x)))))))

simplify50.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4906	438
1	4906	438

prune53.0ms

Filtered

45 candidates to 57 candidates (-26.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	57	0	57
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	57	4	61

Merged error: 33.1b

Counts

61 → 4

localize11.0ms

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))
3.7b	(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)))))

series48.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(*.f64 (fabs.f64 (cbrt.f64 (cos.f64 x))) (sqrt.f64 (cbrt.f64 (cos.f64 x))))
13.0ms	(cbrt.f64 (cos.f64 x))
13.0ms	(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)))))

simplify57.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5067	612

prune45.0ms

Filtered

49 candidates to 67 candidates (-36.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	66	1	67
Fresh	0	1	1
Picked	1	0	1
Done	0	2	2
Total	67	4	71

Merged error: 33.1b

Counts

71 → 4

regimes31.0ms

Accuracy

0% (0.5b remaining)

Error of 36.2b against oracle of 35.7b and baseline of 36.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	21
1	14	21

end0.0ms

sample6.4s

Algorithm

intervals

Results

2.3s	1529×	body	5120	exit
1.6s	3178×	body	1280	valid
861.0ms	2492×	body	640	valid
475.0ms	1175×	body	1280	nan
298.0ms	1223×	body	320	valid
276.0ms	1009×	body	640	nan
102.0ms	523×	body	320	nan
95.0ms	602×	body	160	valid
42.0ms	505×	body	80	valid
30.0ms	227×	body	160	nan
18.0ms	235×	body	80	nan

Details

analyze705.0ms

sample203.0ms

simplify98.0ms

prune7.0ms

localize7.0ms

rewrite7.0ms

series11.0ms

simplify58.0ms

prune49.0ms

localize11.0ms

rewrite9.0ms

series13.0ms

simplify97.0ms

prune49.0ms

localize17.0ms

rewrite9.0ms

series80.0ms

simplify50.0ms

prune53.0ms

localize11.0ms

rewrite11.0ms

series48.0ms

simplify57.0ms

prune45.0ms

regimes31.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample6.4s

Profiling