Details

analyze1.1s

Algorithm

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	74.8%	25.2%	8
0%	74.8%	25.2%	9
0%	74.8%	25.2%	10
0%	74.8%	25.2%	11
0%	74.8%	25.2%	12
24.9%	49.9%	25.2%	13
24.9%	37.4%	37.7%	14

sample86.0ms

Algorithm

intervals

Results

22.0ms	48×	body	1280	valid
14.0ms	141×	body	80	valid
10.0ms	32×	body	640	valid
10.0ms	14×	body	2560	valid
4.0ms	59×	body	80	nan
4.0ms	15×	body	320	valid
2.0ms	33×	body	80	invalid
1.0ms	6×	body	160	valid

simplify40.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	756	19
1	756	19

prune8.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 22.2b

Counts

2 → 1

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))
0.2b	(/.f64 a (*.f64 b 3))
0.4b	(/.f64 (*.f64 z t) 3)
25.9b	(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
6×	`times-frac_binary64`
5×	`cbrt-unprod_binary64` `prod-exp_binary64`
4×	`associate-/r_binary64` `add-log-exp_binary64` `cbrt-undiv_binary64` `associate-/l_binary64` `div-exp_binary64`
3×	`pow-prod-down_binary64` `associate-r_binary64` `cos-diff_binary64`
2×	`clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64`
1×	`sub-neg_binary64` `distribute-lft-in_binary64` `associate-l_binary64` `distribute-rgt-in_binary64` `cos-sum_binary64` `*-commutative_binary64`

Counts

4 → 71

Calls

4 calls:

7.0ms	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))
4.0ms	(/.f64 a (*.f64 b 3))
5.0ms	(/.f64 (*.f64 z t) 3)
6.0ms	(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))

series54.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))
3.0ms	(/.f64 a (*.f64 b 3))
4.0ms	(/.f64 (*.f64 z t) 3)
12.0ms	(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))

simplify60.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4946	780
1	4946	780

prune173.0ms

Filtered

59 candidates to 83 candidates (-40.7%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	62	21	83
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	63	21	84

Merged error: 18.0b

Counts

84 → 21

localize20.0ms

Local error

Found 4 expressions with local error:

16.9b	(cbrt.f64 (/.f64 (*.f64 z t) 3))
16.9b	(cbrt.f64 (/.f64 (*.f64 z t) 3))
16.9b	(cbrt.f64 (/.f64 (*.f64 z t) 3))
25.9b	(cos.f64 (-.f64 y (.f64 (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (cbrt.f64 (/.f64 (.f64 z t) 3))) (cbrt.f64 (/.f64 (*.f64 z t) 3)))))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

21×	`cbrt-prod_binary64`
10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
9×	`times-frac_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`cbrt-div_binary64` `pow1/3_binary64` `div-inv_binary64`
1×	`sub-neg_binary64` `cos-diff_binary64` `cos-sum_binary64`

Counts

4 → 57

Calls

4 calls:

3.0ms	(cbrt.f64 (/.f64 (*.f64 z t) 3))
3.0ms	(cbrt.f64 (/.f64 (*.f64 z t) 3))
3.0ms	(cbrt.f64 (/.f64 (*.f64 z t) 3))
4.0ms	(cos.f64 (-.f64 y (.f64 (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (cbrt.f64 (/.f64 (.f64 z t) 3))) (cbrt.f64 (/.f64 (*.f64 z t) 3)))))

series73.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(cbrt.f64 (/.f64 (*.f64 z t) 3))
18.0ms	(cbrt.f64 (/.f64 (*.f64 z t) 3))
20.0ms	(cbrt.f64 (/.f64 (*.f64 z t) 3))
18.0ms	(cos.f64 (-.f64 y (.f64 (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (cbrt.f64 (/.f64 (.f64 z t) 3))) (cbrt.f64 (/.f64 (*.f64 z t) 3)))))

simplify61.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4742	610
1	4742	610

prune156.0ms

Filtered

49 candidates to 69 candidates (-40.8%)

Pruning

23 alts after pruning (22 fresh and 1 done)

	Pruned	Kept	Total
New	64	5	69
Fresh	3	17	20
Picked	0	1	1
Done	0	0	0
Total	67	23	90

Merged error: 17.9b

Counts

90 → 23

localize26.0ms

Local error

Found 4 expressions with local error:

16.9b	(cbrt.f64 (/.f64 (*.f64 z t) 3))
16.9b	(cbrt.f64 (/.f64 (*.f64 z t) 3))
17.2b	(cbrt.f64 (*.f64 z t))
25.8b	(cos.f64 (-.f64 y (.f64 (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (cbrt.f64 (/.f64 (.f64 z t) 3))) (/.f64 (cbrt.f64 (*.f64 z t)) (cbrt.f64 3)))))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
6×	`times-frac_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`pow1/3_binary64`
2×	`cbrt-div_binary64` `div-inv_binary64`
1×	`sub-neg_binary64` `cos-diff_binary64` `cos-sum_binary64`

Counts

4 → 50

Calls

4 calls:

4.0ms	(cbrt.f64 (/.f64 (*.f64 z t) 3))
3.0ms	(cbrt.f64 (/.f64 (*.f64 z t) 3))
3.0ms	(cbrt.f64 (*.f64 z t))
5.0ms	(cos.f64 (-.f64 y (.f64 (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (cbrt.f64 (/.f64 (.f64 z t) 3))) (/.f64 (cbrt.f64 (*.f64 z t)) (cbrt.f64 3)))))

series89.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(cbrt.f64 (/.f64 (*.f64 z t) 3))
18.0ms	(cbrt.f64 (/.f64 (*.f64 z t) 3))
14.0ms	(cbrt.f64 (*.f64 z t))
39.0ms	(cos.f64 (-.f64 y (.f64 (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (cbrt.f64 (/.f64 (.f64 z t) 3))) (/.f64 (cbrt.f64 (*.f64 z t)) (cbrt.f64 3)))))

simplify66.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5032	725

prune178.0ms

Filtered

51 candidates to 62 candidates (-21.6%)

Pruning

27 alts after pruning (26 fresh and 1 done)

	Pruned	Kept	Total
New	55	7	62
Fresh	2	19	21
Picked	1	0	1
Done	0	1	1
Total	58	27	85

Merged error: 17.8b

Counts

85 → 27

localize34.0ms

Local error

Found 4 expressions with local error:

17.2b	(cbrt.f64 (*.f64 z t))
17.2b	(cbrt.f64 (*.f64 z t))
29.7b	(sin.f64 (.f64 (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (cbrt.f64 (/.f64 (.f64 z t) 3))) (/.f64 (cbrt.f64 (*.f64 z t)) (cbrt.f64 3))))
30.0b	(cos.f64 (.f64 (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (cbrt.f64 (/.f64 (.f64 z t) 3))) (/.f64 (cbrt.f64 (*.f64 z t)) (cbrt.f64 3))))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 32

Calls

4 calls:

3.0ms	(cbrt.f64 (*.f64 z t))
3.0ms	(cbrt.f64 (*.f64 z t))
4.0ms	(sin.f64 (.f64 (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (cbrt.f64 (/.f64 (.f64 z t) 3))) (/.f64 (cbrt.f64 (*.f64 z t)) (cbrt.f64 3))))
4.0ms	(cos.f64 (.f64 (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (cbrt.f64 (/.f64 (.f64 z t) 3))) (/.f64 (cbrt.f64 (*.f64 z t)) (cbrt.f64 3))))

series59.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(cbrt.f64 (*.f64 z t))
14.0ms	(cbrt.f64 (*.f64 z t))
18.0ms	(sin.f64 (.f64 (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (cbrt.f64 (/.f64 (.f64 z t) 3))) (/.f64 (cbrt.f64 (*.f64 z t)) (cbrt.f64 3))))
13.0ms	(cos.f64 (.f64 (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (cbrt.f64 (/.f64 (.f64 z t) 3))) (/.f64 (cbrt.f64 (*.f64 z t)) (cbrt.f64 3))))

simplify49.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4987	542
1	4987	542

prune73.0ms

Filtered

34 candidates to 44 candidates (-29.4%)

Pruning

33 alts after pruning (32 fresh and 1 done)

	Pruned	Kept	Total
New	37	7	44
Fresh	0	25	25
Picked	1	0	1
Done	0	1	1
Total	38	33	71

Merged error: 17.7b

Counts

71 → 33

regimes3.3s

Accuracy

56% (1.8b remaining)

Error of 18.2b against oracle of 16.4b and baseline of 20.4b

bsearch2.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	110	142
1	110	142

end0.0ms

sample2.5s

Algorithm

intervals

Results

755.0ms	1612×	body	1280	valid
335.0ms	4395×	body	80	valid
325.0ms	966×	body	640	valid
274.0ms	361×	body	2560	valid
169.0ms	2177×	body	80	nan
110.0ms	452×	body	320	valid
84.0ms	1096×	body	80	invalid
36.0ms	214×	body	160	valid

Details

analyze1.1s

sample86.0ms

simplify40.0ms

prune8.0ms

localize20.0ms

rewrite24.0ms

series54.0ms

simplify60.0ms

prune173.0ms

localize20.0ms

rewrite14.0ms

series73.0ms

simplify61.0ms

prune156.0ms

localize26.0ms

rewrite16.0ms

series89.0ms

simplify66.0ms

prune178.0ms

localize34.0ms

rewrite13.0ms

series59.0ms

simplify49.0ms

prune73.0ms

regimes3.3s

bsearch2.0ms

simplify4.0ms

end0.0ms

sample2.5s

Profiling