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

sample53.0ms

Algorithm

intervals

Results

31.0ms	251×	body	80	valid
1.0ms	3×	body	640	invalid
1.0ms	2×	body	640	valid
1.0ms	9×	body	80	invalid
1.0ms	1×	body	1280	valid
1.0ms	1×	body	1280	invalid
1.0ms	2×	body	320	valid
1.0ms	2×	body	320	invalid
0.0ms	1×	body	160	invalid

simplify39.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5362	28

prune10.0ms

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: 17.4b

Counts

2 → 1

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 K (+.f64 m n))
0.0b	(-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)
0.0b	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
35.6b	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))

rewrite41.0ms

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` `unpow2_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 → 66

Calls

4 calls:

9.0ms	(*.f64 K (+.f64 m n))
9.0ms	(-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)
11.0ms	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
9.0ms	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))

series57.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(*.f64 K (+.f64 m n))
14.0ms	(-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)
14.0ms	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
22.0ms	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))

simplify35.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	4936	801
1	4936	801

prune109.0ms

Filtered

53 candidates to 78 candidates (-47.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	73	5	78
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	74	5	79

Merged error: 1.0b

Counts

79 → 5

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l)
0.0b	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64`
8×	`*-un-lft-identity_binary64`
6×	`unpow-prod-down_binary64`
4×	`add-log-exp_binary64` `add-cube-cbrt_binary64`
3×	`pow-unpow_binary64` `pow1_binary64` `add-exp-log_binary64`
2×	`add-cbrt-cube_binary64` `difference-of-squares_binary64`
1×	`pow-to-exp_binary64` `flip3-+_binary64` `distribute-lft-out_binary64` `unpow2_binary64` `pow-pow_binary64` `sqr-pow_binary64` `distribute-lft-out--_binary64` `times-frac_binary64` `+-commutative_binary64` `flip-+_binary64` `pow-exp_binary64` `sum-log_binary64`

Counts

2 → 33

Calls

2 calls:

15.0ms	(+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l)
11.0ms	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)

series50.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l)
14.0ms	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)

simplify28.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	5500	476

prune56.0ms

Filtered

27 candidates to 39 candidates (-44.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	39	0	39
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	39	5	44

Merged error: 1.0b

Counts

44 → 5

localize25.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (+.f64 m n))
0.5b	(cbrt.f64 (+.f64 m n))
0.5b	(cbrt.f64 (+.f64 m n))
35.3b	(cos.f64 (-.f64 (/.f64 (.f64 (.f64 K (*.f64 (cbrt.f64 (+.f64 m n)) (cbrt.f64 (+.f64 m n)))) (cbrt.f64 (+.f64 m n))) 2) M))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity_binary64`
12×	`cbrt-prod_binary64`
7×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
6×	`cbrt-div_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`flip3-+_binary64` `distribute-lft-out_binary64` `pow1/3_binary64` `flip-+_binary64`
1×	`sub-neg_binary64` `cos-diff_binary64` `cos-sum_binary64`

Counts

4 → 51

Calls

4 calls:

3.0ms	(cbrt.f64 (+.f64 m n))
3.0ms	(cbrt.f64 (+.f64 m n))
3.0ms	(cbrt.f64 (+.f64 m n))
19.0ms	(cos.f64 (-.f64 (/.f64 (.f64 (.f64 K (*.f64 (cbrt.f64 (+.f64 m n)) (cbrt.f64 (+.f64 m n)))) (cbrt.f64 (+.f64 m n))) 2) M))

series121.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(cbrt.f64 (+.f64 m n))
29.0ms	(cbrt.f64 (+.f64 m n))
30.0ms	(cbrt.f64 (+.f64 m n))
33.0ms	(cos.f64 (-.f64 (/.f64 (.f64 (.f64 K (*.f64 (cbrt.f64 (+.f64 m n)) (cbrt.f64 (+.f64 m n)))) (cbrt.f64 (+.f64 m n))) 2) M))

simplify53.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4892	579
1	4892	579

prune105.0ms

Filtered

55 candidates to 63 candidates (-14.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	60	3	63
Fresh	2	1	3
Picked	1	0	1
Done	0	1	1
Total	63	5	68

Merged error: 1.0b

Counts

68 → 5

localize30.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (+.f64 m n))
0.5b	(cbrt.f64 (+.f64 m n))
0.5b	(cbrt.f64 (+.f64 m n))
35.6b	(cos.f64 (-.f64 (/.f64 (.f64 (.f64 K (.f64 (cbrt.f64 (+.f64 m n)) (.f64 (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 m n))) (cbrt.f64 (cbrt.f64 (+.f64 m n)))) (cbrt.f64 (cbrt.f64 (+.f64 m n)))))) (cbrt.f64 (+.f64 m n))) 2) M))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity_binary64`
12×	`cbrt-prod_binary64`
7×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
6×	`cbrt-div_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`flip3-+_binary64` `distribute-lft-out_binary64` `pow1/3_binary64` `flip-+_binary64`
1×	`sub-neg_binary64` `cos-diff_binary64` `cos-sum_binary64`

Counts

4 → 51

Calls

4 calls:

4.0ms	(cbrt.f64 (+.f64 m n))
3.0ms	(cbrt.f64 (+.f64 m n))
3.0ms	(cbrt.f64 (+.f64 m n))
32.0ms	(cos.f64 (-.f64 (/.f64 (.f64 (.f64 K (.f64 (cbrt.f64 (+.f64 m n)) (.f64 (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 m n))) (cbrt.f64 (cbrt.f64 (+.f64 m n)))) (cbrt.f64 (cbrt.f64 (+.f64 m n)))))) (cbrt.f64 (+.f64 m n))) 2) M))

series123.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(cbrt.f64 (+.f64 m n))
29.0ms	(cbrt.f64 (+.f64 m n))
30.0ms	(cbrt.f64 (+.f64 m n))
33.0ms	(cos.f64 (-.f64 (/.f64 (.f64 (.f64 K (.f64 (cbrt.f64 (+.f64 m n)) (.f64 (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 m n))) (cbrt.f64 (cbrt.f64 (+.f64 m n)))) (cbrt.f64 (cbrt.f64 (+.f64 m n)))))) (cbrt.f64 (+.f64 m n))) 2) M))

simplify47.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5603	558

prune81.0ms

Filtered

52 candidates to 63 candidates (-21.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	61	2	63
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	62	6	68

Merged error: 0.9b

Counts

68 → 6

regimes393.0ms

Accuracy

0% (0.3b remaining)

Error of 1.4b against oracle of 1.2b and baseline of 1.4b

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

840.0ms	7819×	body	80	valid
48.0ms	80×	body	1280	invalid
45.0ms	97×	body	640	invalid
29.0ms	285×	body	80	invalid
28.0ms	64×	body	640	valid
28.0ms	44×	body	1280	valid
16.0ms	51×	body	320	invalid
15.0ms	45×	body	320	valid
7.0ms	32×	body	160	invalid
6.0ms	28×	body	160	valid
3.0ms	3×	body	2560	invalid

Details

analyze2.4s

sample53.0ms

simplify39.0ms

prune10.0ms

localize21.0ms

rewrite41.0ms

series57.0ms

simplify35.0ms

prune109.0ms

localize16.0ms

rewrite27.0ms

series50.0ms

simplify28.0ms

prune56.0ms

localize25.0ms

rewrite30.0ms

series121.0ms

simplify53.0ms

prune105.0ms

localize30.0ms

rewrite43.0ms

series123.0ms

simplify47.0ms

prune81.0ms

regimes393.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.4s

Profiling