Details

analyze6.2s

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
0%	99.8%	0.2%	9
0%	99.8%	0.2%	10
0%	99.8%	0.2%	11
0%	99.8%	0.2%	12
0.6%	99.2%	0.2%	13
1.8%	98%	0.2%	14

sample456.0ms

Algorithm

intervals

Results

332.0ms	168×	body	1024	valid
47.0ms	41×	body	512	valid
40.0ms	9×	body	2048	valid
11.0ms	16×	body	256	valid
6.0ms	22×	body	128	valid

simplify116.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (104.0ms)

Iter	Nodes	Cost
0	4832	103
1	4832	103

prune7.0ms

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: 23.2b

Counts

2 → 1

localize34.0ms

Local error

Found 4 expressions with local error:

3.8b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.8b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.8b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.8b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

4×	`*-un-lft-identity_binary64` `sin-diff_binary64` `add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `div-sub_binary64` `add-sqr-sqrt_binary64`

Counts

4 → 32

Calls

4 calls:

5.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
5.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
6.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
6.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

series143.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
38.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
36.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
35.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

simplify147.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (136.0ms)

Iter	Nodes	Cost
0	4733	612
1	4733	612

prune158.0ms

Filtered

36 candidates to 44 candidates (-22.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	34	10	44
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	35	10	45

Merged error: 22.8b

Counts

45 → 10

localize39.0ms

Local error

Found 4 expressions with local error:

3.8b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.8b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.8b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
7.5b	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

12×	`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×	`sin-diff_binary64` `div-sub_binary64` `unpow-prod-down_binary64` `cube-prod_binary64`
1×	`rem-cbrt-cube_binary64` `pow1/3_binary64` `sqr-pow_binary64` `unpow3_binary64` `cube-mult_binary64`

Counts

4 → 45

Calls

4 calls:

5.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
7.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
6.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
7.0ms	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))

series141.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
38.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
33.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
35.0ms	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))

simplify75.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4786	809
1	4786	809

prune173.0ms

Filtered

38 candidates to 57 candidates (-50.0%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	50	7	57
Fresh	5	4	9
Picked	1	0	1
Done	0	0	0
Total	56	11	67

Merged error: 22.8b

Counts

67 → 11

localize45.0ms

Local error

Found 4 expressions with local error:

3.8b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.8b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
7.5b	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))
7.5b	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod_binary64`
10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
6×	`unpow-prod-down_binary64` `cube-prod_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`sin-diff_binary64` `rem-cbrt-cube_binary64` `pow1/3_binary64` `sqr-pow_binary64` `div-sub_binary64` `unpow3_binary64` `cube-mult_binary64`

Counts

4 → 58

Calls

4 calls:

6.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
6.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
7.0ms	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))
7.0ms	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))

series164.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
40.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
45.0ms	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))
40.0ms	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))

simplify77.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4786	1046
1	4786	1046

prune182.0ms

Filtered

44 candidates to 70 candidates (-59.1%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	70	11	81

Merged error: 22.8b

Counts

81 → 11

localize46.0ms

Local error

Found 4 expressions with local error:

3.8b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.8b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.8b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
7.5b	(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) 2) (cbrt.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))) 3))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

8×	`cbrt-prod_binary64`
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×	`sin-diff_binary64` `div-sub_binary64`
1×	`rem-cbrt-cube_binary64` `pow1/3_binary64` `sqr-pow_binary64` `unpow-prod-down_binary64` `cube-prod_binary64` `unpow3_binary64` `cube-mult_binary64`

Counts

4 → 41

Calls

4 calls:

6.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
6.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
6.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
4.0ms	(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) 2) (cbrt.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))) 3))

series168.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
43.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
39.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
41.0ms	(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) 2) (cbrt.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))) 3))

simplify71.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5466	741

prune158.0ms

Filtered

43 candidates to 53 candidates (-23.3%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	47	6	53
Fresh	3	6	9
Picked	1	0	1
Done	0	1	1
Total	51	13	64

Merged error: 22.7b

Counts

64 → 13

regimes637.0ms

Accuracy

0% (0.5b remaining)

Error of 24.1b against oracle of 23.6b and baseline of 24.1b

bsearch0.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	170	147
1	170	147

end0.0ms

sample14.9s

Algorithm

intervals

Results

10.8s	5228×	body	1024	valid
1.6s	412×	body	2048	valid
1.5s	1275×	body	512	valid
294.0ms	388×	body	256	valid
226.0ms	697×	body	128	valid

Details

analyze6.2s

sample456.0ms

simplify116.0ms

prune7.0ms

localize34.0ms

rewrite28.0ms

series143.0ms

simplify147.0ms

prune158.0ms

localize39.0ms

rewrite34.0ms

series141.0ms

simplify75.0ms

prune173.0ms

localize45.0ms

rewrite35.0ms

series164.0ms

simplify77.0ms

prune182.0ms

localize46.0ms

rewrite30.0ms

series168.0ms

simplify71.0ms

prune158.0ms

regimes637.0ms

bsearch0.0ms

simplify4.0ms

end0.0ms

sample14.9s

Profiling