Details

analyze2.4s

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
12.5%	87.3%	0.2%	9
12.5%	87.3%	0.2%	10
18.7%	81.1%	0.2%	11
18.7%	81.1%	0.2%	12
18.7%	81.1%	0.2%	13
20.5%	79.3%	0.2%	14

sample52.0ms

Algorithm

intervals

Results

26.0ms	249×	body	80	valid
4.0ms	6×	body	1280	invalid
2.0ms	4×	body	640	valid
1.0ms	3×	body	640	invalid
1.0ms	1×	body	1280	valid
1.0ms	2×	body	320	valid
0.0ms	4×	body	80	invalid
0.0ms	1×	body	160	invalid

simplify51.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4986	28
1	4986	28

prune11.0ms

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: 14.0b

Counts

2 → 1

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2.0) M)
0.0b	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2.0) M) 2.0)
0.0b	(*.f64 K (+.f64 m n))
35.2b	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2.0) M))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64`
14×	`*-un-lft-identity_binary64`
8×	`add-cube-cbrt_binary64`
7×	`pow1_binary64` `add-exp-log_binary64`
6×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unpow-prod-down_binary64`
4×	`associate-r_binary64`
3×	`pow-unpow_binary64` `associate-l_binary64` `difference-of-squares_binary64`
2×	`sub-neg_binary64` `associate-*r/_binary64` `distribute-lft-out--_binary64`
1×	`pow-to-exp_binary64` `pow-prod-down_binary64` `flip3-+_binary64` `flip3--_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `pow-pow_binary64` `sqr-pow_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `cos-diff_binary64` `prod-exp_binary64` `cos-sum_binary64` `times-frac_binary64` `flip--_binary64` `flip-+_binary64` `pow-exp_binary64` `*-commutative_binary64`

Counts

4 → 65

Calls

4 calls:

9.0ms	(-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2.0) M)
11.0ms	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2.0) M) 2.0)
7.0ms	(*.f64 K (+.f64 m n))
9.0ms	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2.0) M))

series98.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2.0) M)
47.0ms	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2.0) M) 2.0)
11.0ms	(*.f64 K (+.f64 m n))
25.0ms	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2.0) M))

simplify67.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4924	827
1	4924	827

prune123.0ms

Filtered

55 candidates to 77 candidates (-40.0%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	71	6	77
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	72	6	78

Merged error: 1.4b

Counts

78 → 6

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2.0) M) 2.0) l)
0.0b	(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2.0) M) 2.0) l))
0.0b	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2.0) M) 2.0)

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity_binary64`
12×	`add-sqr-sqrt_binary64`
10×	`add-log-exp_binary64`
6×	`unpow-prod-down_binary64`
5×	`add-cube-cbrt_binary64`
4×	`pow1_binary64` `add-exp-log_binary64`
3×	`pow-unpow_binary64` `add-cbrt-cube_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
2×	`diff-log_binary64` `distribute-lft-out_binary64` `sum-log_binary64`
1×	`pow-to-exp_binary64` `flip3-+_binary64` `sub-neg_binary64` `associate--r+_binary64` `flip3--_binary64` `pow-pow_binary64` `sqr-pow_binary64` `times-frac_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64` `pow-exp_binary64`

Counts

3 → 48

Calls

3 calls:

14.0ms	(+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2.0) M) 2.0) l)
15.0ms	(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2.0) M) 2.0) l))
11.0ms	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2.0) M) 2.0)

series142.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2.0) M) 2.0) l)
48.0ms	(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2.0) M) 2.0) l))
48.0ms	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2.0) M) 2.0)

simplify34.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5177	922

prune85.0ms

Filtered

43 candidates to 57 candidates (-32.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	57	0	57
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	57	6	63

Merged error: 1.4b

Counts

63 → 6

localize26.0ms

Local error

Found 4 expressions with local error:

12.5b	(cbrt.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2.0) M))
12.5b	(cbrt.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2.0) M))
12.5b	(cbrt.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2.0) M))
43.6b	(cos.f64 (.f64 (.f64 (cbrt.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2.0) M)) (cbrt.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2.0) M))) (cbrt.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2.0) M))))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod_binary64`
13×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
7×	`add-cube-cbrt_binary64`
6×	`cbrt-div_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`flip3--_binary64` `pow1/3_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64`

Counts

4 → 52

Calls

4 calls:

9.0ms	(cbrt.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2.0) M))
8.0ms	(cbrt.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2.0) M))
8.0ms	(cbrt.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2.0) M))
6.0ms	(cos.f64 (.f64 (.f64 (cbrt.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2.0) M)) (cbrt.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2.0) M))) (cbrt.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2.0) M))))

series231.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(cbrt.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2.0) M))
69.0ms	(cbrt.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2.0) M))
66.0ms	(cbrt.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2.0) M))
27.0ms	(cos.f64 (.f64 (.f64 (cbrt.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2.0) M)) (cbrt.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2.0) M))) (cbrt.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2.0) M))))

simplify46.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5420	981

prune121.0ms

Filtered

55 candidates to 64 candidates (-16.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	63	1	64
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	64	6	70

Merged error: 1.4b

Counts

70 → 6

localize29.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2.0) M)))
35.2b	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2.0) M))
35.2b	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2.0) M))
35.2b	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2.0) M))

rewrite30.0ms

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×	`sub-neg_binary64` `cos-diff_binary64` `cos-sum_binary64` `cbrt-prod_binary64`
1×	`pow1/3_binary64`

Counts

4 → 38

Calls

4 calls:

2.0ms	(cbrt.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2.0) M)))
9.0ms	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2.0) M))
9.0ms	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2.0) M))
9.0ms	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2.0) M))

series145.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(cbrt.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2.0) M)))
23.0ms	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2.0) M))
26.0ms	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2.0) M))
24.0ms	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2.0) M))

simplify63.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4970	619
1	4970	619

prune87.0ms

Filtered

44 candidates to 50 candidates (-13.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	49	1	50
Fresh	0	3	3
Picked	1	0	1
Done	0	2	2
Total	50	6	56

Merged error: 1.4b

Counts

56 → 6

regimes410.0ms

Accuracy

0% (0.2b remaining)

Error of 1.3b against oracle of 1.1b and baseline of 1.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	61	17
1	61	17

end0.0ms

sample1.4s

Algorithm

intervals

Results

852.0ms	7824×	body	80	valid
46.0ms	98×	body	640	invalid
44.0ms	74×	body	1280	invalid
36.0ms	80×	body	640	valid
31.0ms	261×	body	80	invalid
23.0ms	37×	body	1280	valid
19.0ms	59×	body	320	invalid
12.0ms	38×	body	320	valid
8.0ms	35×	body	160	invalid
5.0ms	21×	body	160	valid
4.0ms	4×	body	2560	invalid

Details

analyze2.4s

sample52.0ms

simplify51.0ms

prune11.0ms

localize27.0ms

rewrite38.0ms

series98.0ms

simplify67.0ms

prune123.0ms

localize14.0ms

rewrite42.0ms

series142.0ms

simplify34.0ms

prune85.0ms

localize26.0ms

rewrite33.0ms

series231.0ms

simplify46.0ms

prune121.0ms

localize29.0ms

rewrite30.0ms

series145.0ms

simplify63.0ms

prune87.0ms

regimes410.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.4s

Profiling