Details

analyze6.6s (21.7%)

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)

sample510.0ms (1.7%)

Algorithm

1×

intervals

Results

363.0ms	177×	body	1024	valid
60.0ms	15×	body	2048	valid
44.0ms	31×	body	512	valid
11.0ms	20×	body	128	valid
10.0ms	13×	body	256	valid

Compiler

Compiled 131 to 98 computations (25.2% saved)

simplify271.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (98.0ms)

Iter	Nodes	Cost
0	4751	103
1	4751	103

prune6.0ms (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

Merged error: 21.9b

Counts

2 → 1

Compiler

Compiled 130 to 92 computations (29.2% saved)

localize37.0ms (0.1%)

Local error

Found 4 expressions with local error:

2.1b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.1b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.7b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
3.7b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

rewrite30.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101` `add-log-exp_binary64_1140` `add-exp-log_binary64_1139` `pow1_binary64_1162` `add-cube-cbrt_binary64_1136` `add-cbrt-cube_binary64_1137` `sin-diff_binary64_1237` `div-sub_binary64_1106`

Counts

4 → 32

Calls

4 calls:

6.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
6.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
6.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
6.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

series145.0ms (0.5%)

Counts

4 → 12

Calls

4 calls:

38.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
37.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
36.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
34.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

simplify119.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (108.0ms)

Iter	Nodes	Cost
0	4923	612
1	4923	612

prune189.0ms (0.6%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	30	14	44
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	31	14	45

Merged error: 20.4b

Counts

45 → 14

Compiler

Compiled 4116 to 2512 computations (39% saved)

localize58.0ms (0.2%)

Local error

Found 4 expressions with local error:

2.1b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.1b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.1b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.7b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

rewrite31.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101` `add-log-exp_binary64_1140` `add-exp-log_binary64_1139` `pow1_binary64_1162` `add-cube-cbrt_binary64_1136` `add-cbrt-cube_binary64_1137` `sin-diff_binary64_1237` `div-sub_binary64_1106`

Counts

4 → 32

Calls

4 calls:

6.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
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))

series152.0ms (0.5%)

Counts

4 → 12

Calls

4 calls:

42.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
39.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
36.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
35.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

simplify122.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (111.0ms)

Iter	Nodes	Cost
0	4923	612
1	4923	612

prune236.0ms (0.8%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	39	5	44
Fresh	1	12	13
Picked	1	0	1
Done	0	0	0
Total	41	17	58

Merged error: 8.8b

Counts

58 → 17

Compiler

Compiled 4983 to 3264 computations (34.5% saved)

localize46.0ms (0.2%)

Local error

Found 4 expressions with local error:

2.1b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.1b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.1b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.1b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

rewrite32.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101` `add-log-exp_binary64_1140` `add-exp-log_binary64_1139` `pow1_binary64_1162` `add-cube-cbrt_binary64_1136` `add-cbrt-cube_binary64_1137` `sin-diff_binary64_1237` `div-sub_binary64_1106`

Counts

4 → 32

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

series158.0ms (0.5%)

Counts

4 → 12

Calls

4 calls:

44.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
40.0ms	(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))

simplify158.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (147.0ms)

Iter	Nodes	Cost
0	4776	612
1	4776	612

prune279.0ms (0.9%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	36	8	44
Fresh	7	9	16
Picked	1	0	1
Done	0	0	0
Total	44	17	61

Merged error: 8.7b

Counts

61 → 17

Compiler

Compiled 5707 to 3922 computations (31.3% saved)

localize53.0ms (0.2%)

Local error

Found 4 expressions with local error:

2.1b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.1b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.1b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
4.1b	(log.f64 (exp.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))

rewrite39.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136`
5×	`pow1_binary64_1162`
4×	`add-log-exp_binary64_1140` `add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137` `log-pow_binary64_1190` `sin-diff_binary64_1237` `div-sub_binary64_1106`
3×	`exp-prod_binary64_1153` `log-prod_binary64_1187`
1×	`rem-log-exp_binary64_1142` `exp-diff_binary64_1149` `log-div_binary64_1188`

Counts

4 → 40

Calls

4 calls:

8.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
8.0ms	(log.f64 (exp.f64 (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))

series235.0ms (0.8%)

Counts

4 → 12

Calls

4 calls:

115.0ms	(log.f64 (exp.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))
44.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
42.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
34.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

simplify95.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4920	732
1	4920	732

prune484.0ms (1.6%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	48	4	52
Fresh	4	12	16
Picked	1	0	1
Done	0	0	0
Total	53	16	69

Merged error: 8.7b

Counts

69 → 16

Compiler

Compiled 5083 to 3421 computations (32.7% saved)

regimes2.3s (7.6%)

Compiler: Compiled 39268 to 29176 computations (25.7% saved)

bsearch0.0ms (0%)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	153	149
1	153	149

end0.0ms (0%)

sample17.9s (59.2%)

Algorithm

1×

intervals

Results

11.1s	5285×	body	1024	valid
1.8s	422×	body	2048	valid
1.5s	1207×	body	512	valid
312.0ms	396×	body	256	valid
232.0ms	690×	body	128	valid
4.0ms	2×	body	1024	invalid

Compiler

Compiled 3392 to 2520 computations (25.7% saved)

Details

analyze6.6s (21.7%)

sample510.0ms (1.7%)

simplify271.0ms (0.9%)

prune6.0ms (0%)

localize37.0ms (0.1%)

rewrite30.0ms (0.1%)

series145.0ms (0.5%)

simplify119.0ms (0.4%)

prune189.0ms (0.6%)

localize58.0ms (0.2%)

rewrite31.0ms (0.1%)

series152.0ms (0.5%)

simplify122.0ms (0.4%)

prune236.0ms (0.8%)

localize46.0ms (0.2%)

rewrite32.0ms (0.1%)

series158.0ms (0.5%)

simplify158.0ms (0.5%)

prune279.0ms (0.9%)

localize53.0ms (0.2%)

rewrite39.0ms (0.1%)

series235.0ms (0.8%)

simplify95.0ms (0.3%)

prune484.0ms (1.6%)

regimes2.3s (7.6%)

bsearch0.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample17.9s (59.2%)

Profiling