Details

analyze6.3s (24.6%)

Algorithm

1×

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

Compiler

Compiled 66 to 47 computations (28.8% saved)

sample403.0ms (1.6%)

Algorithm

1×

intervals

Results

248.0ms	146×	body	1024	valid
53.0ms	48×	body	512	valid
51.0ms	15×	body	2048	valid
23.0ms	25×	body	256	valid
7.0ms	22×	body	128	valid

Compiler

Compiled 131 to 98 computations (25.2% saved)

simplify199.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (102.0ms)

Iter	Nodes	Cost
0	4778	103
1	4778	103

prune7.0ms (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

Error

22.1b

Counts

2 → 1

Compiler

Compiled 130 to 92 computations (29.2% saved)

localize30.0ms (0.1%)

Local error

Found 4 expressions with local error:

3.7b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.7b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.7b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.7b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

rewrite26.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`add-exp-log_binary64_4890` `div-sub_binary64_4857` `add-cube-cbrt_binary64_4887` `add-cbrt-cube_binary64_4888` `*-un-lft-identity_binary64_4852` `add-log-exp_binary64_4891` `add-sqr-sqrt_binary64_4874` `pow1_binary64_4913` `sin-diff_binary64_4988`

Counts

4 → 32

Calls

4 calls:

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

series79.0ms (0.3%)

Counts

4 → 12

Calls

4 calls:

22.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
19.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
19.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
19.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

simplify156.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (145.0ms)

Iter	Nodes	Cost
0	4752	612
1	4752	612

prune180.0ms (0.7%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	33	11	44
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	34	11	45

Error

21.7b

Counts

45 → 11

Compiler

Compiled 3884 to 2346 computations (39.6% saved)

localize37.0ms (0.1%)

Local error

Found 4 expressions with local error:

3.7b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.7b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.7b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
7.3b	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))

rewrite29.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64_4883`
7×	`add-cube-cbrt_binary64_4887` `*-un-lft-identity_binary64_4852` `add-sqr-sqrt_binary64_4874`
4×	`add-exp-log_binary64_4890` `add-cbrt-cube_binary64_4888` `add-log-exp_binary64_4891` `pow1_binary64_4913`
3×	`cube-prod_binary64_4880` `div-sub_binary64_4857` `unpow-prod-down_binary64_4931` `sin-diff_binary64_4988`
1×	`cube-mult_binary64_4882` `pow1/3_binary64_4934` `unpow3_binary64_4918` `rem-cbrt-cube_binary64_4876` `sqr-pow_binary64_4824`

Counts

4 → 45

Calls

4 calls:

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

series78.0ms (0.3%)

Counts

4 → 12

Calls

4 calls:

20.0ms	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))
19.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
19.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
19.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

simplify82.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4780	809
1	4780	809

prune231.0ms (0.9%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	52	5	57
Fresh	2	8	10
Picked	1	0	1
Done	0	0	0
Total	55	13	68

Error

21.7b

Counts

68 → 13

Compiler

Compiled 5074 to 3106 computations (38.8% saved)

localize40.0ms (0.2%)

Local error

Found 4 expressions with local error:

3.7b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.7b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.7b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.7b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

rewrite26.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`add-exp-log_binary64_4890` `div-sub_binary64_4857` `add-cube-cbrt_binary64_4887` `add-cbrt-cube_binary64_4888` `*-un-lft-identity_binary64_4852` `add-log-exp_binary64_4891` `add-sqr-sqrt_binary64_4874` `pow1_binary64_4913` `sin-diff_binary64_4988`

Counts

4 → 32

Calls

4 calls:

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

series87.0ms (0.3%)

Counts

4 → 12

Calls

4 calls:

23.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
23.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
22.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
19.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

simplify162.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (148.0ms)

Iter	Nodes	Cost
0	4752	612
1	4752	612

prune176.0ms (0.7%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	42	2	44
Fresh	1	11	12
Picked	1	0	1
Done	0	0	0
Total	44	13	57

Error

21.7b

Counts

57 → 13

Compiler

Compiled 4139 to 2562 computations (38.1% saved)

localize40.0ms (0.2%)

Local error

Found 4 expressions with local error:

3.7b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.7b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
7.3b	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))
7.3b	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))

rewrite33.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`cbrt-prod_binary64_4883`
10×	`add-cube-cbrt_binary64_4887` `*-un-lft-identity_binary64_4852` `add-sqr-sqrt_binary64_4874`
6×	`cube-prod_binary64_4880` `unpow-prod-down_binary64_4931`
4×	`add-exp-log_binary64_4890` `add-cbrt-cube_binary64_4888` `add-log-exp_binary64_4891` `pow1_binary64_4913`
2×	`div-sub_binary64_4857` `cube-mult_binary64_4882` `pow1/3_binary64_4934` `unpow3_binary64_4918` `sin-diff_binary64_4988` `rem-cbrt-cube_binary64_4876` `sqr-pow_binary64_4824`

Counts

4 → 58

Calls

4 calls:

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

series86.0ms (0.3%)

Counts

4 → 12

Calls

4 calls:

24.0ms	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))
23.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
20.0ms	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))
18.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

simplify84.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4780	1046
1	4780	1046

prune464.0ms (1.8%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	68	2	70
Fresh	1	11	12
Picked	1	0	1
Done	0	0	0
Total	70	13	83

Error

21.6b

Counts

83 → 13

Compiler

Compiled 5236 to 3132 computations (40.2% saved)

regimes1.7s (6.7%)

Accuracy

Total 0.6b remaining (2.5%)

Threshold costs 0.6b (2.5%)

Compiler

Compiled 29416 to 21316 computations (27.5% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	130	108
1	130	108

end0.0ms (0%)

sample14.9s (58%)

Algorithm

1×

intervals

Results

9.1s	5208×	body	1024	valid
1.5s	1315×	body	512	valid
1.4s	436×	body	2048	valid
288.0ms	397×	body	256	valid
201.0ms	644×	body	128	valid
3.0ms	2×	body	1024	invalid
1.0ms	1×	body	256	invalid

Compiler

Compiled 2546 to 1843 computations (27.6% saved)

Details

analyze6.3s (24.6%)

sample403.0ms (1.6%)

simplify199.0ms (0.8%)

prune7.0ms (0%)

localize30.0ms (0.1%)

rewrite26.0ms (0.1%)

series79.0ms (0.3%)

simplify156.0ms (0.6%)

prune180.0ms (0.7%)

localize37.0ms (0.1%)

rewrite29.0ms (0.1%)

series78.0ms (0.3%)

simplify82.0ms (0.3%)

prune231.0ms (0.9%)

localize40.0ms (0.2%)

rewrite26.0ms (0.1%)

series87.0ms (0.3%)

simplify162.0ms (0.6%)

prune176.0ms (0.7%)

localize40.0ms (0.2%)

rewrite33.0ms (0.1%)

series86.0ms (0.3%)

simplify84.0ms (0.3%)

prune464.0ms (1.8%)

regimes1.7s (6.7%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample14.9s (58%)

Profiling