Details

analyze6.3s (20.7%)

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)

sample500.0ms (1.6%)

Algorithm

1×

intervals

Results

354.0ms	174×	body	1024	valid
70.0ms	18×	body	2048	valid
42.0ms	31×	body	512	valid
10.0ms	29×	body	128	valid
3.0ms	4×	body	256	valid

Compiler

Compiled 131 to 98 computations (25.2% saved)

simplify272.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (97.0ms)

Iter	Nodes	Cost
0	4751	103
1	4751	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

Merged error: 24.7b

Counts

2 → 1

Compiler

Compiled 130 to 92 computations (29.2% saved)

localize35.0ms (0.1%)

Local error

Found 4 expressions with local error:

2.7b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.7b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
4.4b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
4.4b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

rewrite29.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`div-sub_binary64_1788` `add-cbrt-cube_binary64_1819` `add-sqr-sqrt_binary64_1805` `add-exp-log_binary64_1821` `add-cube-cbrt_binary64_1818` `sin-diff_binary64_1919` `*-un-lft-identity_binary64_1783` `add-log-exp_binary64_1822` `pow1_binary64_1844`

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 phi1 phi2) 2))

series146.0ms (0.5%)

Counts

4 → 12

Calls

4 calls:

41.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
36.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
35.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
34.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

simplify125.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (113.0ms)

Iter	Nodes	Cost
0	4923	612
1	4923	612

prune192.0ms (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: 23.1b

Counts

45 → 14

Compiler

Compiled 4109 to 2508 computations (39% saved)

localize55.0ms (0.2%)

Local error

Found 4 expressions with local error:

2.7b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.7b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.7b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
4.4b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

rewrite29.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`div-sub_binary64_1788` `add-cbrt-cube_binary64_1819` `add-sqr-sqrt_binary64_1805` `add-exp-log_binary64_1821` `add-cube-cbrt_binary64_1818` `sin-diff_binary64_1919` `*-un-lft-identity_binary64_1783` `add-log-exp_binary64_1822` `pow1_binary64_1844`

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

series175.0ms (0.6%)

Counts

4 → 12

Calls

4 calls:

49.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
45.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
45.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
35.0ms	(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

prune232.0ms (0.8%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	37	7	44
Fresh	3	10	13
Picked	1	0	1
Done	0	0	0
Total	41	17	58

Merged error: 12.2b

Counts

58 → 17

Compiler

Compiled 5002 to 3287 computations (34.3% saved)

localize43.0ms (0.1%)

Local error

Found 4 expressions with local error:

2.7b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.7b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.7b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.7b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

rewrite31.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`div-sub_binary64_1788` `add-cbrt-cube_binary64_1819` `add-sqr-sqrt_binary64_1805` `add-exp-log_binary64_1821` `add-cube-cbrt_binary64_1818` `sin-diff_binary64_1919` `*-un-lft-identity_binary64_1783` `add-log-exp_binary64_1822` `pow1_binary64_1844`

Counts

4 → 32

Calls

4 calls:

7.0ms	(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))
5.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

series158.0ms (0.5%)

Counts

4 → 12

Calls

4 calls:

42.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
41.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
39.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
36.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

simplify156.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (145.0ms)

Iter	Nodes	Cost
0	4776	612
1	4776	612

prune262.0ms (0.9%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	38	6	44
Fresh	5	11	16
Picked	1	0	1
Done	0	0	0
Total	44	17	61

Merged error: 12.2b

Counts

61 → 17

Compiler

Compiled 5665 to 3893 computations (31.3% saved)

localize48.0ms (0.2%)

Local error

Found 4 expressions with local error:

2.7b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.7b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.7b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
8.2b	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))

rewrite37.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64_1814`
7×	`add-sqr-sqrt_binary64_1805` `add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
4×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821` `add-log-exp_binary64_1822` `pow1_binary64_1844`
3×	`div-sub_binary64_1788` `unpow-prod-down_binary64_1862` `sin-diff_binary64_1919` `cube-prod_binary64_1811`
1×	`sqr-pow_binary64_1755` `rem-cbrt-cube_binary64_1807` `cube-mult_binary64_1813` `unpow3_binary64_1849` `pow1/3_binary64_1865`

Counts

4 → 45

Calls

4 calls:

8.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
7.0ms	(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))

series154.0ms (0.5%)

Counts

4 → 12

Calls

4 calls:

43.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
40.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
36.0ms	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))
35.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

simplify86.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4778	809
1	4778	809

prune301.0ms (1%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	50	7	57
Fresh	3	13	16
Picked	1	0	1
Done	0	0	0
Total	54	20	74

Merged error: 12.2b

Counts

74 → 20

Compiler

Compiled 5589 to 3773 computations (32.5% saved)

regimes2.6s (8.5%)

Compiler: Compiled 43996 to 32788 computations (25.5% saved)

bsearch0.0ms (0%)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	154	150
1	154	150

end0.0ms (0%)

sample18.4s (60.3%)

Algorithm

1×

intervals

Results

11.2s	5266×	body	1024	valid
1.7s	424×	body	2048	valid
1.6s	1269×	body	512	valid
299.0ms	381×	body	256	valid
230.0ms	660×	body	128	valid
2.0ms	1×	body	1024	invalid

Compiler

Compiled 3787 to 2822 computations (25.5% saved)

Details

analyze6.3s (20.7%)

sample500.0ms (1.6%)

simplify272.0ms (0.9%)

prune7.0ms (0%)

localize35.0ms (0.1%)

rewrite29.0ms (0.1%)

series146.0ms (0.5%)

simplify125.0ms (0.4%)

prune192.0ms (0.6%)

localize55.0ms (0.2%)

rewrite29.0ms (0.1%)

series175.0ms (0.6%)

simplify119.0ms (0.4%)

prune232.0ms (0.8%)

localize43.0ms (0.1%)

rewrite31.0ms (0.1%)

series158.0ms (0.5%)

simplify156.0ms (0.5%)

prune262.0ms (0.9%)

localize48.0ms (0.2%)

rewrite37.0ms (0.1%)

series154.0ms (0.5%)

simplify86.0ms (0.3%)

prune301.0ms (1%)

regimes2.6s (8.5%)

bsearch0.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample18.4s (60.3%)

Profiling