Details

analyze2.3s

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	128	valid
1.0ms	3×	body	1024	invalid
1.0ms	3×	body	512	invalid
1.0ms	9×	body	128	invalid
1.0ms	2×	body	512	valid
1.0ms	1×	body	2048	invalid
1.0ms	1×	body	1024	valid
0.0ms	1×	body	256	valid
0.0ms	1×	body	256	invalid

simplify53.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5055	43

prune6.0ms

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: 15.9b

Counts

2 → 1

localize27.0ms

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)
0.2b	(/.f64 (*.f64 K (+.f64 m n)) 2)
36.6b	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64`
12×	`*-un-lft-identity_binary64`
10×	`add-exp-log_binary64`
9×	`add-cbrt-cube_binary64`
8×	`add-cube-cbrt_binary64`
6×	`add-log-exp_binary64` `unpow-prod-down_binary64`
5×	`pow1_binary64`
4×	`times-frac_binary64`
3×	`pow-unpow_binary64` `associate-/r*_binary64` `difference-of-squares_binary64`
2×	`associate-/l/_binary64` `sub-neg_binary64` `cbrt-undiv_binary64` `associate-*r/_binary64` `distribute-lft-out--_binary64` `div-exp_binary64`
1×	`pow-to-exp_binary64` `flip3-+_binary64` `flip3--_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `unpow2_binary64` `pow-pow_binary64` `sqr-pow_binary64` `cos-diff_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `cos-sum_binary64` `div-inv_binary64` `flip--_binary64` `flip-+_binary64` `pow-exp_binary64`

Counts

4 → 66

Calls

4 calls:

9.0ms	(-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)
12.0ms	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
7.0ms	(/.f64 (*.f64 K (+.f64 m n)) 2)
10.0ms	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))

series413.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)
102.0ms	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
64.0ms	(/.f64 (*.f64 K (+.f64 m n)) 2)
154.0ms	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))

simplify69.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4980	1265
1	4980	1265

prune99.0ms

Filtered

54 candidates to 78 candidates (-44.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	74	4	78
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	75	4	79

Merged error: 0.8b

Counts

79 → 4

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 21

Calls

1 calls:

11.0ms

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

series112.0ms

Counts

1 → 3

Calls

1 calls:

112.0ms

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

simplify70.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4972	402
1	4972	402

prune23.0ms

Filtered

15 candidates to 24 candidates (-60.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	24	0	24
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	24	4	28

Merged error: 0.8b

Counts

28 → 4

localize29.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt.f64 2)
1.0b	(cbrt.f64 2)
1.0b	(cbrt.f64 2)
36.7b	(cos.f64 (-.f64 (/.f64 (.f64 (+.f64 m n) (/.f64 K (.f64 (cbrt.f64 2) (cbrt.f64 2)))) (cbrt.f64 2)) M))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 42

Calls

4 calls:

1.0ms	(cbrt.f64 2)
1.0ms	(cbrt.f64 2)
1.0ms	(cbrt.f64 2)
16.0ms	(cos.f64 (-.f64 (/.f64 (.f64 (+.f64 m n) (/.f64 K (.f64 (cbrt.f64 2) (cbrt.f64 2)))) (cbrt.f64 2)) M))

series474.0ms

Counts

4 → 6

Calls

4 calls:

0.0ms	(cbrt.f64 2)
0.0ms	(cbrt.f64 2)
0.0ms	(cbrt.f64 2)
474.0ms	(cos.f64 (-.f64 (/.f64 (.f64 (+.f64 m n) (/.f64 K (.f64 (cbrt.f64 2) (cbrt.f64 2)))) (cbrt.f64 2)) M))

simplify53.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5296	594

prune72.0ms

Filtered

41 candidates to 48 candidates (-17.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	48	0	48
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	48	4	52

Merged error: 0.8b

Counts

52 → 4

localize28.0ms

Local error

Found 4 expressions with local error:

15.7b	(cbrt.f64 (/.f64 (*.f64 K (+.f64 m n)) 2))
15.7b	(cbrt.f64 (/.f64 (*.f64 K (+.f64 m n)) 2))
15.7b	(cbrt.f64 (/.f64 (*.f64 K (+.f64 m n)) 2))
36.6b	(cos.f64 (-.f64 (.f64 (.f64 (cbrt.f64 (/.f64 (.f64 K (+.f64 m n)) 2)) (cbrt.f64 (/.f64 (.f64 K (+.f64 m n)) 2))) (cbrt.f64 (/.f64 (*.f64 K (+.f64 m n)) 2))) M))

rewrite39.0ms

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:

5.0ms	(cbrt.f64 (/.f64 (*.f64 K (+.f64 m n)) 2))
5.0ms	(cbrt.f64 (/.f64 (*.f64 K (+.f64 m n)) 2))
5.0ms	(cbrt.f64 (/.f64 (*.f64 K (+.f64 m n)) 2))
15.0ms	(cos.f64 (-.f64 (.f64 (.f64 (cbrt.f64 (/.f64 (.f64 K (+.f64 m n)) 2)) (cbrt.f64 (/.f64 (.f64 K (+.f64 m n)) 2))) (cbrt.f64 (/.f64 (*.f64 K (+.f64 m n)) 2))) M))

series1.1s

Counts

4 → 12

Calls

4 calls:

262.0ms	(cbrt.f64 (/.f64 (*.f64 K (+.f64 m n)) 2))
253.0ms	(cbrt.f64 (/.f64 (*.f64 K (+.f64 m n)) 2))
267.0ms	(cbrt.f64 (/.f64 (*.f64 K (+.f64 m n)) 2))
291.0ms	(cos.f64 (-.f64 (.f64 (.f64 (cbrt.f64 (/.f64 (.f64 K (+.f64 m n)) 2)) (cbrt.f64 (/.f64 (.f64 K (+.f64 m n)) 2))) (cbrt.f64 (/.f64 (*.f64 K (+.f64 m n)) 2))) M))

simplify80.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5013	1161

prune118.0ms

Filtered

61 candidates to 69 candidates (-13.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	68	1	69
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	68	5	73

Merged error: 0.8b

Counts

73 → 5

regimes91.0ms

Accuracy

0% (0.2b remaining)

Error of 1.3b against oracle of 1.0b and baseline of 1.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	62	26
1	62	26

end0.0ms

sample1.4s

Algorithm

intervals

Results

864.0ms	7854×	body	128	valid
36.0ms	78×	body	1024	invalid
32.0ms	64×	body	1024	valid
31.0ms	290×	body	128	invalid
28.0ms	86×	body	512	invalid
16.0ms	46×	body	512	valid
15.0ms	21×	body	2048	invalid
13.0ms	61×	body	256	invalid
9.0ms	35×	body	256	valid
1.0ms	1×	body	2048	valid

Details

analyze2.3s

sample47.0ms

simplify53.0ms

prune6.0ms

localize27.0ms

rewrite45.0ms

series413.0ms

simplify69.0ms

prune99.0ms

localize13.0ms

rewrite13.0ms

series112.0ms

simplify70.0ms

prune23.0ms

localize29.0ms

rewrite25.0ms

series474.0ms

simplify53.0ms

prune72.0ms

localize28.0ms

rewrite39.0ms

series1.1s

simplify80.0ms

prune118.0ms

regimes91.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.4s

Profiling