Details

analyze6.5s (23.3%)

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)

sample428.0ms (1.5%)

Algorithm

1×

intervals

Results

287.0ms	163×	body	1024	valid
51.0ms	16×	body	2048	valid
48.0ms	42×	body	512	valid
12.0ms	11×	body	256	valid
8.0ms	24×	body	128	valid

Compiler

Compiled 131 to 98 computations (25.2% saved)

simplify188.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (96.0ms)

Iter	Nodes	Cost
0	4778	103
1	4778	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: 25.4b

Counts

2 → 1

Compiler

Compiled 130 to 92 computations (29.2% saved)

localize35.0ms (0.1%)

Local error

Found 4 expressions with local error:

2.8b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.8b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
4.3b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
4.3b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

rewrite26.0ms (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:

5.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
5.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 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:

21.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
20.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
19.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
19.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

simplify137.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (126.0ms)

Iter	Nodes	Cost
0	4808	612
1	4808	612

prune402.0ms (1.5%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	32	12	44
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	33	12	45

Merged error: 23.8b

Counts

45 → 12

Compiler

Compiled 3975 to 2412 computations (39.3% saved)

localize44.0ms (0.2%)

Local error

Found 4 expressions with local error:

2.8b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.8b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.8b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
4.3b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

rewrite26.0ms (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:

5.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 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))

series81.0ms (0.3%)

Counts

4 → 12

Calls

4 calls:

23.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
20.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
19.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
19.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

simplify136.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (126.0ms)

Iter	Nodes	Cost
0	4808	612
1	4808	612

prune230.0ms (0.8%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	35	9	44
Fresh	1	10	11
Picked	1	0	1
Done	0	0	0
Total	37	19	56

Merged error: 13.2b

Counts

56 → 19

Compiler

Compiled 5174 to 3415 computations (34% saved)

localize37.0ms (0.1%)

Local error

Found 4 expressions with local error:

2.8b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.8b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.8b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.8b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

rewrite28.0ms (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:

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))

series85.0ms (0.3%)

Counts

4 → 12

Calls

4 calls:

23.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
22.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
21.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
20.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

simplify155.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (144.0ms)

Iter	Nodes	Cost
0	4752	612
1	4752	612

prune282.0ms (1%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	35	9	44
Fresh	5	13	18
Picked	1	0	1
Done	0	0	0
Total	41	22	63

Merged error: 13.1b

Counts

63 → 22

Compiler

Compiled 6141 to 4257 computations (30.7% saved)

localize44.0ms (0.2%)

Local error

Found 4 expressions with local error:

2.8b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.8b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.8b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
7.1b	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))

rewrite31.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64_1132`
7×	`add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136`
4×	`add-log-exp_binary64_1140` `add-exp-log_binary64_1139` `pow1_binary64_1162` `add-cbrt-cube_binary64_1137`
3×	`cube-prod_binary64_1129` `unpow-prod-down_binary64_1180` `sin-diff_binary64_1237` `div-sub_binary64_1106`
1×	`cube-mult_binary64_1131` `pow1/3_binary64_1183` `unpow3_binary64_1167` `sqr-pow_binary64_1073` `rem-cbrt-cube_binary64_1125`

Counts

4 → 45

Calls

4 calls:

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

series84.0ms (0.3%)

Counts

4 → 12

Calls

4 calls:

23.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
22.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
20.0ms	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))
19.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

simplify89.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4780	809
1	4780	809

prune282.0ms (1%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	54	3	57
Fresh	3	18	21
Picked	1	0	1
Done	0	0	0
Total	58	21	79

Merged error: 13.1b

Counts

79 → 21

Compiler

Compiled 5589 to 3773 computations (32.5% saved)

regimes2.3s (8.2%)

Compiler: Compiled 40948 to 30544 computations (25.4% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	141	145
1	141	145

end0.0ms (0%)

sample16.0s (57.8%)

Algorithm

1×

intervals

Results

9.5s	5267×	body	1024	valid
1.4s	1220×	body	512	valid
1.4s	434×	body	2048	valid
297.0ms	388×	body	256	valid
225.0ms	691×	body	128	valid
2.0ms	1×	body	1024	invalid
1.0ms	1×	body	512	invalid

Compiler

Compiled 3530 to 2632 computations (25.4% saved)

Details

analyze6.5s (23.3%)

sample428.0ms (1.5%)

simplify188.0ms (0.7%)

prune6.0ms (0%)

localize35.0ms (0.1%)

rewrite26.0ms (0.1%)

series79.0ms (0.3%)

simplify137.0ms (0.5%)

prune402.0ms (1.5%)

localize44.0ms (0.2%)

rewrite26.0ms (0.1%)

series81.0ms (0.3%)

simplify136.0ms (0.5%)

prune230.0ms (0.8%)

localize37.0ms (0.1%)

rewrite28.0ms (0.1%)

series85.0ms (0.3%)

simplify155.0ms (0.6%)

prune282.0ms (1%)

localize44.0ms (0.2%)

rewrite31.0ms (0.1%)

series84.0ms (0.3%)

simplify89.0ms (0.3%)

prune282.0ms (1%)

regimes2.3s (8.2%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample16.0s (57.8%)

Profiling