Details

analyze2.6s

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

sample47.0ms

Algorithm

intervals

Results

27.0ms	252×	body	80	valid
2.0ms	3×	body	1280	valid
2.0ms	15×	body	80	invalid
1.0ms	3×	body	640	invalid
1.0ms	1×	body	1280	invalid
0.0ms	1×	body	640	valid

simplify66.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4934	43
1	4934	43

prune5.0ms

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

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)
0.0b	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
0.0b	(*.f64 K (+.f64 m n))
35.3b	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))

rewrite36.0ms

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:

8.0ms	(-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)
11.0ms	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
6.0ms	(*.f64 K (+.f64 m n))
9.0ms	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))

series203.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)
52.0ms	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
24.0ms	(*.f64 K (+.f64 m n))
80.0ms	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))

simplify104.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	4975	1196
1	4975	1196

prune93.0ms

Filtered

53 candidates to 78 candidates (-47.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	75	3	78
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	76	3	79

Merged error: 0.8b

Counts

79 → 3

localize29.0ms

Local error

Found 2 expressions with local error:

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

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
7×	`add-log-exp_binary64`
6×	`unpow-prod-down_binary64`
4×	`add-cube-cbrt_binary64`
3×	`pow-unpow_binary64` `pow1_binary64` `add-exp-log_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
2×	`diff-log_binary64` `add-cbrt-cube_binary64`
1×	`pow-to-exp_binary64` `sub-neg_binary64` `associate--r+_binary64` `flip3--_binary64` `distribute-lft-out_binary64` `unpow2_binary64` `pow-pow_binary64` `sqr-pow_binary64` `times-frac_binary64` `flip--_binary64` `pow-exp_binary64` `sum-log_binary64`

Counts

2 → 37

Calls

2 calls:

15.0ms	(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))
13.0ms	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)

series192.0ms

Counts

2 → 6

Calls

2 calls:

138.0ms	(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))
53.0ms	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)

simplify48.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5554	1008

prune41.0ms

Filtered

29 candidates to 43 candidates (-48.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	43	0	43
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	43	3	46

Merged error: 0.8b

Counts

46 → 3

localize26.0ms

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))
35.1b	(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))

rewrite31.0ms

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))
5.0ms	(cbrt.f64 (+.f64 m n))
3.0ms	(cbrt.f64 (+.f64 m n))
18.0ms	(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))

series458.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(cbrt.f64 (+.f64 m n))
120.0ms	(cbrt.f64 (+.f64 m n))
121.0ms	(cbrt.f64 (+.f64 m n))
97.0ms	(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))

simplify103.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	5092	897

prune98.0ms

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	0	1	1
Picked	1	0	1
Done	0	1	1
Total	61	5	66

Merged error: 0.8b

Counts

66 → 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))
0.6b	(cbrt.f64 (neg.f64 m))
31.8b	(cos.f64 (-.f64 (/.f64 (.f64 (.f64 K (.f64 (cbrt.f64 (+.f64 m n)) (.f64 (cbrt.f64 (neg.f64 m)) (cbrt.f64 -1)))) (cbrt.f64 (+.f64 m n))) 2) M))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod_binary64`
13×	`*-un-lft-identity_binary64`
9×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`cbrt-div_binary64` `add-log-exp_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`pow1/3_binary64` `distribute-lft-neg-in_binary64` `distribute-rgt-neg-in_binary64`
2×	`flip3-+_binary64` `distribute-lft-out_binary64` `flip-+_binary64`
1×	`sub-neg_binary64` `neg-mul-1_binary64` `cos-diff_binary64` `cos-sum_binary64`

Counts

4 → 55

Calls

4 calls:

3.0ms	(cbrt.f64 (+.f64 m n))
3.0ms	(cbrt.f64 (+.f64 m n))
2.0ms	(cbrt.f64 (neg.f64 m))
22.0ms	(cos.f64 (-.f64 (/.f64 (.f64 (.f64 K (.f64 (cbrt.f64 (+.f64 m n)) (.f64 (cbrt.f64 (neg.f64 m)) (cbrt.f64 -1)))) (cbrt.f64 (+.f64 m n))) 2) M))

series677.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(cbrt.f64 (+.f64 m n))
118.0ms	(cbrt.f64 (+.f64 m n))
92.0ms	(cbrt.f64 (neg.f64 m))
351.0ms	(cos.f64 (-.f64 (/.f64 (.f64 (.f64 K (.f64 (cbrt.f64 (+.f64 m n)) (.f64 (cbrt.f64 (neg.f64 m)) (cbrt.f64 -1)))) (cbrt.f64 (+.f64 m n))) 2) M))

simplify57.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4945	1179
1	4945	1179

prune110.0ms

Filtered

58 candidates to 67 candidates (-15.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	64	3	67
Fresh	2	1	3
Picked	1	0	1
Done	0	1	1
Total	67	5	72

Merged error: 0.8b

Counts

72 → 5

regimes98.0ms

Accuracy

0% (0.2b remaining)

Error of 1.3b against oracle of 1.2b and baseline of 1.3b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	63	26
1	63	26

end0.0ms

sample1.4s

Algorithm

intervals

Results

862.0ms	7832×	body	80	valid
44.0ms	73×	body	1280	invalid
33.0ms	74×	body	640	invalid
31.0ms	292×	body	80	invalid
29.0ms	64×	body	640	valid
25.0ms	39×	body	1280	valid
20.0ms	62×	body	320	invalid
18.0ms	43×	body	320	valid
7.0ms	31×	body	160	invalid
5.0ms	22×	body	160	valid
1.0ms	1×	body	2560	invalid

Details

analyze2.6s

sample47.0ms

simplify66.0ms

prune5.0ms

localize22.0ms

rewrite36.0ms

series203.0ms

simplify104.0ms

prune93.0ms

localize29.0ms

rewrite29.0ms

series192.0ms

simplify48.0ms

prune41.0ms

localize26.0ms

rewrite31.0ms

series458.0ms

simplify103.0ms

prune98.0ms

localize30.0ms

rewrite32.0ms

series677.0ms

simplify57.0ms

prune110.0ms

regimes98.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample1.4s

Profiling